diff --git "a/data/dm_maths/full_data_2/10661_11255.jsonl" "b/data/dm_maths/full_data_2/10661_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10661_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 524 minutes after 9:02 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, k: 1, j: 3, s: 3, t: 3}. What is prob of sequence ts?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 3*p. Let l(d) = d**2 - 4*d. Let g(n) = -3*l(n) - 4*o(n). Let q(b) = -b + 1. Give g(q(a)).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + y**4 - 3*y**4)*(0 + 0 + 2*y) + (7*y**3 + 15*y - 15*y)*(3*y**2 + y**2 - 5*y**2) + 2*y**5 - y**5 + y**5.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4 + (2 - 12\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1507 - -962. Let a = n + 689. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.98 - -0.02. Let z = o - 14. Let s = z + 10.999976. What is s rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/16 + 3)\/(0 - -9). Let a(k) be the third derivative of 0*k**3 + 0*k - w*k**4 + 1\/60*k**5 + 0 - k**2. What is the second derivative of a(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97237 divided by 6.\nAnswer: 97237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -88*c**2 + 10*c - 10. Let n(r) = 29*r**2 - 3*r + 3. Let s(f) = -20*n(f) - 6*z(f). Let q(v) = -2*v**2. Calculate q(s(d)).\nAnswer: -5408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - 6?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 549 - 548.9444. Let p = 23.0556 - m. What is the smallest value in p, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 105368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-27)\/(-162))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-23 + 27) - -14) + (-32 - 1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 191. Suppose n + 3 = 2*n. Let x be (-6 - 0)\/((n - 1)\/w). Solve 0 = -4*f - 4, 2*f - 8 = -x*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 850*l**2 - 855*l = 0. What is l?\nAnswer: -1, 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124, -242, -360, -478?\n\"Answer: -118*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5993570 is divided by 965?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-268 - -269) + (-19 - -4) + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -57 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2851, -2891, 2819, 17153, 42985, 83189, 140639, 218209?\nAnswer: 318773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 11. Let b be (-32)\/36*9\/2*(0 - -1). Put b, 10, h in descending order.\nAnswer: 10, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -29 + 25. Suppose -n + 83 + 337 = 0. Suppose -3*y + 4*x + n = -208, -f*x = 8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/15 + 3028286*i\/15 + 3028288\/15 = 0. Calculate i.\nAnswer: -1, 1514144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*z = 22, -5*z = -2*w - 289 + 291 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 19 = 3*o + 5*b, -39 = 4*o + 3*b. Let c = 25 + o. Is 8 a factor of 3*(-1 + c\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -4*n, 0*n - 2*i + 6 = -n. Which is the fourth smallest value? (a) n (b) -2\/9 (c) 0.03 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + r = 1663, -w - 559 = -2*w + 2*r. Let x = 780 - w. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 1645 = -162*g + 587 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107, 438, 987, 1754, 2739, 3942?\n\"Answer: 109*p**2 + 4*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -10100101010101011001110000?\nAnswer: 10100101010101011001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2 - 2*(1 + sqrt(11))) + (-4*(sqrt(11) + 0) - sqrt(66)\/sqrt(54)).\nAnswer: -2 + 29*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 5, r: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.0272 + 47. Round a to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-39)\/(-15) - 3)*-5. Suppose 2*p + 5*o = p - 23, 0 = m*p - 4*o + 74. Let l be (-786)\/p - 2\/(-11). What is the greatest common factor of 120 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648 > 8647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -636 + 654. Let n be (-8)\/(-35)*(135\/c - 4). Solve n*g**3 - 2\/5*g**5 + 6\/5 - 2\/5*g + 6\/5*g**4 - 12\/5*g**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029466965 rounded to 5 decimal places?\nAnswer: -0.02947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + -34 - -32 - -13?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.3. Let v = 139 - 135. What is the closest to 0 in d, v, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -152.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 637 = -4*l, 390 - 1238 = 4*x + 4*l. Suppose 4*m = -5*h + 74, -5*h = 5*m - 42 - 28. Calculate the remainder when 5 - 39\/9 - x\/3 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 5*x - 3*x)*(2 - 2*x**4 - 2) + x**5 - 29*x**2 + 8*x**2 + 7*x**2.\nAnswer: -3*x**5 - 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, z: 1, i: 1, c: 2, o: 1}. Give prob of sequence zcf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*j + 69385339*a*j**2 + 121*j**2 - 50*j - 600 wrt a.\nAnswer: -6*a*j + 69385339*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 30 in increasing order.\nAnswer: -0.5, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*x - 1 + 11*x - 5*x - 2*x + (-1 + 0 + 3)*(53 - 53 + 8*x).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-36))\/((-108)\/1620)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 509 + -507. Solve -5*o = -y*u + 4, 5*o - u - 4 = -3*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from {r: 3, g: 10, w: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**3 + 35*t. Let u = 6236 + -6233. Let l(f) = 4*f**3 + 18*f. Give u*v(w) - 5*l(w).\nAnswer: w**3 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -26 + -21 + -12 + 32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l + 17. Let c = l + 35\/2. Let v be ((-2)\/10)\/(2\/(-4)). What is the smallest value in c, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20023001 (base 4) in base 8?\nAnswer: 101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (15 - -32) - (1 + -2 + 45).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 676?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44248, 87849, 131436, 175003, 218544, 262053, 305524?\nAnswer: 348951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/2 - 19*p**4\/2 + 55*p**3 - 133*p**2 + 273*p\/2 - 99\/2 = 0.\nAnswer: 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + a2b?\nAnswer: a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -87918, -351536, -790850, -1405860, -2196566?\n\"Answer: -87848*w**2 - 74*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -314.63 and 0.13?\nAnswer: -40.9019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*q = 135, -k - 137*q = -133*q + 37 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 6 - 5*i**3 - 12*i**2 - 2*i - i. Let b(j) = -j**3 - j**2 + 1. Let h(n) = -6*b(n) + v(n). Find the third derivative of h(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/3 + 4*w. Let v(i) be the first derivative of i**2\/2 + 2. Give v(h(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -64*t**5\/5 - 3*t**2 - 2*t - 71. Find the second derivative of d(w) wrt w.\nAnswer: -768*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14411452 (base 6) in base 9?\nAnswer: -840875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327879626 to the power of 1\/2, to the nearest integer?\nAnswer: 18107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 - 2434?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*y**2 - 19*y + 19*y + (-3 + y + 3)*(2*y + 0*y - 3*y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*s + 16550 = 254*s - 155*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.069 from 0.05.\nAnswer: -1.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15570 and 1730.\nAnswer: 15570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -105, -196, -319, -480, -685?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 1 + 710\/284. Suppose 0 = -0*s + s - 28. Solve d*w + 12 = s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77003434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 a factor of 237353223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.5 - 12. What is the second smallest value in f, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9008 is divided by 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.915 + -0.085. Let v = f - -28.9977. Round v to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Let o be 1 + a*(-1)\/3. Let k be (-2)\/6*(-9)\/o. What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115361342?\nAnswer: 2, 57680671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4 - (-3)\/6. Let d(b) = b**3 + 9*b**2 + 15*b + 5. Let n be d(-7). Let y be v*(2 - n\/(-4)). Is -8\/5 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3310406 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*1\/2*60\/75?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a0318 (base 12) in base 8?\nAnswer: 625704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1\/6, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72, -12, -144, -318, -528?\n\"Answer: j**3 - 30*j**2 - j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2 - 2 + 2. Let g = -6752 - -6754. Let w(o) = -o - 4. Calculate g*w(i) + 5*x(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:08 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.29 - -0.29. Which is the closest to v? (a) 1 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5146 or 5151?\nAnswer: 5151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -190. Suppose 4*i = -d + 9, w*i - d - 18 = -4*d. Is i != -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*a - 27, 6*a - 3*a - 7 = 2*g. Let d = 6 - g. What is the units digit of -1 - ((-14)\/d + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*d - 22, 3*d + 15 = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 7}. Give prob of picking 2 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -11*w**4\/8 + w**2. Let q(g) = -2*g + 7. Let h(o) = -2*o + 6. Let n(t) = 7*h(t) - 6*q(t). Determine u(n(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(128) - sqrt(128) - sqrt(128)) + 1 + sqrt(128) + (-1*sqrt(128) + sqrt(128))*-6)**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000386122 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 42154*d - 2487126. Calculate q(59).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2\/5 + 1863*p\/5 + 179214\/5 = 0.\nAnswer: -502, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 185, 579, 1331, 2561?\n\"Answer: 20*d**3 - d**2 + 19*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -16. Let l be ((-86)\/6)\/(13\/(-78)). Suppose 3*s - 139 = -4*v, -s + u*s - l = -4*v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2444, -2447, -2450?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1852 + 1852 + 17*a**2 + 4*a. Let x(q) = 51*q**2 + 11*q. Give -11*p(g) + 4*x(g).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 20*a**2 + 21*a + 2. Let b = -191 + 170. Let x be i(b). Solve 3*r + j - 5*j = 0, x*r - j + 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + (1 - -1). Let f = 485 + -482. Put f, n, 0 in decreasing order.\nAnswer: f, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 12:16 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*c + 5*g, 0*c = -c + 5*g + 17. Let v = 0 + 0. Suppose -3*a = -v*a - 12. What is the lowest common multiple of a and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 146. Suppose -5*s + 26 = -14. What is l in -2*l + 14*l**r + l**4 - 2*l**2 + l**4 + 2 - s*l**3 - 6*l = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Suppose o = -5*m + 6*m. Suppose 3*x - 2*v - 63 = 0, -2*x + m*v = -0 - 40. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -155)*2\/2. What is the second derivative of -171*o + i*o + 5*o**5 + 2*o**5 wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013789 divided by -3327?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 14.\nAnswer: 43\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20441\/343770 + -4\/1637. Calculate the common denominator of n and 131\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35964*i**2 + 11081*i wrt i?\nAnswer: 71928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 0.3 (d) 7 (e) 5 (f) -155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6064976 and 6640.\nAnswer: 30324880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n - 105 = -23*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (13 - (-66 - -32 - -39)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = y - 5*c + 127, -3*y - c - 349 = 0. Let p = y - -124. Let x(t) = -t**3 + 5*t**2 + 6*t. Calculate x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 3. Let p be s(0). What is the third derivative of -2*y**3 - p*y**2 + 4*y**3 - 2*y**6 - 2*y**3 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4267934 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61266582, -122533167, -183799752?\n\"Answer: -61266585*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 5 - 5.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3305 is divided by 1619?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*q - 23423394 = -23461240 for q.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 + n**4\/24 - 5*n**2. What are the prime factors of p(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**12)\/r**(2\/7)*(r**(-11\/4)\/r)\/((r\/((r*r**(-2\/25)\/r)\/r))\/r*r) assuming r is positive.\nAnswer: r**(-11981\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -53*g + 55*g. Suppose 35*r = g*r - 2506. Is r 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 -19520*n**4 + 55741*n wrt n?\nAnswer: -234240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/4216833 and 25\/136.\nAnswer: 33734664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 49, -4, 115, -3, -1 in ascending order.\nAnswer: -4, -3, -1, 4, 49, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065163842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52677.\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 536 and 421.33.\nAnswer: 225832.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j**3 + 2*j**2 - 2*j + 39. Let p(d) = 11*d**3 + d**2 - d + 25. Let f(y) = 8*p(y) - 5*z(y). Give f(-4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*0*(-1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q**2 - 7*q - 6. Let u be y(-2). Which is greater: u or -50?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 297\/5. Let d be ((-16)\/12)\/((-2)\/(-1)). Do f and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w - 115. Let f be j(-7). What is the fourth biggest value in f, 3, 1, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -35 + 31. Let y be 3 + g*(-11 + 4). What is the greatest common divisor of y and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 2b1215?\nAnswer: 2b1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*i = -2*i + 8, 5*p - i = 5. Suppose -16 = 6*o - p*o. What is the third biggest value in -0.3, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 6733754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -913*t**2 - 2. Let c(o) = -59*o - 1. Calculate c(n(u)).\nAnswer: 53867*u**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -3. Let s = 0.031 + -2.031. Put s, k, 4 in ascending order.\nAnswer: s, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.6 - -7.535. Let x = w + 2.8. Let k = x - -0.065. What is the second smallest value in 2\/7, k, 3\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1943680664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3345 - 0.1655. What is the second smallest value in f, 5, -1.84?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1721 or -12051\/7?\nAnswer: -12051\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Let l be i(3). Suppose -3*c + 4 = -c. Suppose -5*b = -0*y + l*y - 265, 295 = c*y - b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbbvvvv. What is prob of sequence vv?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 - -190. Solve 0 = 2*m + k - 7, -m = 3*m - s*k - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdsaabaa. Give prob of sequence dda.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 13*b - 8. Let p be 0 + (-419 - 7\/(-1)). Let u = p + 400. What is n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*n + 1, 5*n + 5*o = 9*o + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - 187. Let k = -457 - z. Suppose -4*q - c - c + 14 = 0, 5*q - 25 = -c. Solve -k = -q*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 2*c**2 - 5*c - 2. Suppose -69 = 6*n - 51. Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 8*j**2 - j**2)*(-2*j + 2*j + 5*j)*(69*j**2 - 37*j**2 - 50*j**2).\nAnswer: 540*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 187*m + 731. What is k(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8886008979 take away 0.7?\nAnswer: 8886008978.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-5) + (-16728)\/10455?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/50 and 22\/85763695.\nAnswer: 857636950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-59872)\/320 - 2\/4. Let y = u + 187. Which is the second smallest value? (a) -5.1 (b) 3 (c) y (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 + 12*s - 13. Let p = -11 - -14. Suppose c + 2 = -p. Let f(d) = -22*d**2 + 36*d - 38. Let g(r) = c*f(r) + 16*m(r). Factor g(a).\nAnswer: -2*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*f**2 - f**2 - 6*f - 4 to the form m + a*f**2 + b*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*u, 0*i + 3*i + 15 = -3*u. Let d be 1045\/2050 - 3\/i. Let x = 2\/205 - d. Which is the nearest to 0.3? (a) x (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85948094.1 to the nearest 100000.\nAnswer: 85900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2572\/151 or 16?\nAnswer: 2572\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v + 18*v - v as c + j*v and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n - 19 - 17 + 36. Let h(c) = 15*c**2 - 4*c - 4. Let f(u) = -28*u**2 + 7*u + 7. Let a(w) = 4*f(w) + 7*h(w). Calculate k(a(t)).\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.355559 to four decimal places.\nAnswer: -0.3556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggxyggxw. What is prob of picking 1 x and 2 g?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -572a + 3d?\nAnswer: -56ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - w**3 - 2*w**3 - 2*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/5 - 6524*j\/5 = 0. Calculate j.\nAnswer: -1631, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + -0.6. Let d = -1.7 - h. Sort d, 0.2, 3.\nAnswer: 0.2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*n - 496*n + 19464 = 454*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004423 rounded to six dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 18\/14 - 1 - (54665\/(-91) + 3).\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 5, 31, 67, 113, 169, 235?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23417.7322 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f. Let z(p) = -192*p**2 + 3. Determine n(z(l)).\nAnswer: -576*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -3 - -62 - (124 + -108).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267601459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 16. Suppose 5*t = -2*s + 7*s + 45, q*t + 2*s = 6. What is the hundreds digit of (2\/t)\/(-2 + (-1956)\/(-976))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 34860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11 and (3\/(-9))\/((-9)\/(-228)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Suppose -b + 4*y - 7 = o, 2*b - 5*y - 4 = -6. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d*d**6)\/(d**(-2\/9)\/(d\/(d*(d**(-3)\/d*d)\/d*d))) assuming d is positive.\nAnswer: d**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 27 - 2 = 0, -2*a = u + 1. Let n(q) = 5*q**2 + 4*q + 2. Calculate the remainder when 102 is divided by n(a).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 24*y**2. Let a(d) = 537387*d**2. What is l(a(c))?\nAnswer: 6930834906456*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2 - 1)*4. Suppose 0 = -g + 10 - 0. Suppose -13*z + g*z = -30. Solve 0*o + b*o = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471795 is divided by 157264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 - -148. Calculate the lowest common multiple of q and 873.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160 (base 10) in base 3?\nAnswer: 21002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21201020210111 (base 3) to base 12\nAnswer: -145814a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from ttktttcftccllctt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115355, 227249, 339143, 451037, 562931?\n\"Answer: 111894*q + 3461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2683 + -2613 + (-59 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240438, 240418, 240402, 240390, 240382, 240378, 240378?\nAnswer: 240382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let f = 286.487 - 0.487. Let t = -285.75 + f. Which is the biggest value? (a) t (b) u (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from kprpr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15255424 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -4*d - 155. Suppose -m = 4*l - 12, -5*m - 20 = -4*l - 8*m. Let h(x) = d*x**l - 33*x**2 - 36*x**2. Let f(k) = 2*k. Calculate h(f(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 81, 177, 327, 537?\n\"Answer: d**3 + 18*d**2 - 13*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 8*o. Let i(x) = 114*x. Calculate g(i(z)).\nAnswer: -12996*z**2 + 912*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let y = 844 + -841. Let l(r) be the second derivative of r**2 - 28*r - 11\/6*r**y + 0. What is o(l(c))?\nAnswer: -242*c**2 + 88*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 1 + 7*r**2 - 587*r**3 - 2*r - 4*r**4 + 586*r**3 in the form j + a*r**4 + d*r**2 + o*r**3 + x*r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*t = -y + 8, -15 = 5*t. Let r be 3\/5 - 2\/y. Solve -3*p - p = b - 21, -r = p - b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u + 930648 - 543224 + 1448972 = 0. List the prime factors of u.\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039933 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.14 - 0.34. Let f = v - -0.2. Let u = -3116 + 3125. Which is the nearest to u? (a) -3 (b) 1\/10 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q - 5. Let k(m) = 7*m - 3. Let s(l) = 6*c(l) - 11*k(l). Let i be s(-5). What are the prime factors of (-6)\/(-5)*(-5)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0244 times -593\nAnswer: -14.4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -2 - 24435\/1810\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t + 92*t - 25*t - 28*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + -3)\/6*(-3)\/1. Differentiate 95 - 3*f**2 + 5*f**2 + o*f - 5*f**2 + 0*f**2 with respect to f.\nAnswer: -6*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3355960 + -1002578. Let c = f + -2353381.3800145. Let d = 0.62 - c. Round d to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32390170.\nAnswer: 2, 5, 37, 87541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867150.\nAnswer: 2, 3, 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppw when three letters picked without replacement from {w: 12, p: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340042018 - 340014778.2758. Let i = -27237 + b. Let v = 2.75 - i. Round v to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/15 - 14*n\/15 + 8.\nAnswer: -2*(n - 5)*(n + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.5 (b) -2\/17 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:47 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 505939, 1011881, 1517823?\n\"Answer: 505942*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 27. Let i(b) be the third derivative of b**5\/30 + 37*b**4\/24 + 53*b**3\/3 - 9*b**2. Let y be i(-3). Calculate c(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeebbri. Give prob of picking 1 i and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561192111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 4. Suppose 4 = 3*d - v - 9, -4*d - v + x = 0. Let c = 14 - 11. Calculate the highest common factor of c and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9340 (b) -0.08 (c) 1\/311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 4, w: 10}. Give prob of picking 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*a - 31, 2*v - 85 + 21 = -5*a. Let c be (-2)\/(-8) - a\/(-8). Suppose -f - 55 = -5*s, -c*f = -2*s + 17 + 5. Solve -s + 3 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g - 3. What is the nearest to g in 1\/9, 5, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 + 19 = 0. Suppose 0 = 4*k - j*k + 8. Sort -2, k, -6 in decreasing order.\nAnswer: k, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1)**2 + -3.\nAnswer: 18*sqrt(17) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 + -9 + 10 - ((-5)\/1 + 1) and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 4*p - 2. Let k(c) = 7*c**3 + 9*c + 5. Calculate -5*j(f) - 2*k(f).\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/3*66\/(-44). Suppose -22*v + h*v + 30 = 0. Solve 4*f + 3*q + 20 = 0, -29 + 7 = f + v*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4. Let v be b(8). Factor 6*s**3 - 5*s**3 + 5*s**3 - 3*s**v - 3*s**2.\nAnswer: -3*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -342 + 501. Suppose 5*b - 4*b = 4*t - s, -t - 3*b + 56 = 0. Let d = -1 + 15. What is the remainder when t is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/((g*g**(-1))\/g))\/g*g)\/g*g**6*g*g*g*g*g**8*g**5\/g*((g**(-4\/9)*g)\/(g**(-1)*g))\/(g**(-2\/21)\/g*((g\/((g**(-5)*g)\/g))\/g)\/g) assuming g is positive.\nAnswer: g**(1427\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220110222 + 200?\nAnswer: -220110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 135*k**2. Let p(x) = -x. Calculate u(p(g)).\nAnswer: 135*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -871*d + 36582. Let m be p(42). Suppose 0 = 4*r - 3 - 1. What is the closest to -0.1 in r, m, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -8.099732291\nAnswer: -14.099732291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**3 - i**2\/2 - i + 2. What is the units digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 15347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59826816 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/21 + -1)*(-9 - -16). Let g be ((-2)\/o)\/((-16)\/16). Let q be 3\/(348\/(-340)) - (-2 - g). What is the second biggest value in 3, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3*3*59 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/18)\/((-2)\/(-3)). Let r = 76 - 46. Let t = r - 31. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3537731 - 6610032. Let g = q + 3072313.99991. Let v = -13 + g. Round v to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2 = 3*c, y + 5 + 0 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-31 + 80 + -46)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266496 by 6.\nAnswer: 44416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9511 + 0.4563991.\nAnswer: 9511.4563991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162045118 to the power of 1\/2, to the nearest integer?\nAnswer: 12730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/3 - 3*v**2\/2 + 12*v. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -0.3, -2\/5, 1\/9 in descending order.\nAnswer: 7, 1, 1\/9, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-2)\/(-96) - 4\/(-3). What is the closest to h in 5, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 30. Suppose -3*g + 111 = -s, o*s - 74 = -2*g + 4*s. Let q = 35 - g. Which is the smallest value? (a) 0.1 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12060 + -12056. Let h(i) = -65*i + 258. What is h(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.103 + 0.397. What is the closest to 2\/7 in s, -2, -97?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 782 + -400. What are the prime factors of j?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, 18, 288, 870, 1866, 3378, 5508, 8358?\n\"Answer: 17*j**3 + 3*j**2 - 68*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 1, b: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -1322*j**2 - 746*j + 3267. Differentiate k(q) wrt q.\nAnswer: -2644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 4*b + 2. Let m be t(-4). Let s(q) = -q - 23. Let u(y) = -8*y - 137. Let k(x) = 6*s(x) - u(x). Calculate k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239143095 + 0.2?\nAnswer: -239143094.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/409 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.17 + 1.17. Let t = 3479\/5790 - 1\/1158. What is the third smallest value in 1, t, 6, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*(-65)\/(-52)*(-24)\/(-100)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.5 (b) 2 (c) 0.5 (d) -171\/232 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 - -10.8. Let z = v - 17.5. Let x = z - 18. What is x rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -99. Let n = 122\/3 + u. Let p = 2765 + -2764. Do p and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (-2*(sqrt(1568) + sqrt(1568) + 0 + sqrt(1568)) - ((sqrt(160) + 1*sqrt(160))\/sqrt(5) + (sqrt(32) + -1)*-5))**2).\nAnswer: 9360*sqrt(2) + 292194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 223.99124. Round a to 4 decimal places.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let u(s) = -2*s. Let b(f) = 4*f. Let k(l) = 3*b(l) + 7*u(l). What is r(k(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 7:09 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299840129.\nAnswer: 3, 7, 233, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17)*h**(2\/5))\/((h**(-2\/9)\/h*h)\/(h\/(h\/h**2)*h)) assuming h is positive.\nAnswer: h**(2861\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34966301411 - 0.3?\nAnswer: -34966301411.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3903181, -3903179, -3903177, -3903175?\n\"Answer: 2*c - 3903183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3700 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -2*w + 2, 7 = 2*b + w. Suppose -3*i + b = -3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + x - 6. List the prime factors of w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-5*j + 5*j + 2*j) + 533 + 224*j - 533 - 27 - 4 + 2*j + 16 as y*j + p and give y.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 34*p**3 - 59*p**2\/2 - 5*p - 1. Suppose -23 = -2*o + 3*m, -4*o - 2*m - 15 + 101 = 0. Is t(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w - 31*w + 2176. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - -527153?\nAnswer: 527212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4716260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 4. Let q be g(0). Suppose -5*z - f = -2, 4*z + 4 = -2*f + q*f. Suppose -11*a - a = -24. Solve z = -4*j + a*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13615 and 25565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 1372, 2053, 2732, 3409, 4084, 4757?\nAnswer: 5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*p**3 - 289*p**2?\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 - -7.3. What is the closest to p in 0.3, -6, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 2. Let j = 2 - -1. Let y(c) = -2*c - 407 - 484 + 893. Calculate j*v(n) - 2*y(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 15*l + 24. Determine k(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -21.9. Let d = 13.9 + m. Let q = d + -10. Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99242, 198385, 297540, 396713, 495910?\nAnswer: 595137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 + -256. Suppose -96 = -5*s - 4*f, -d*f = 3*s - 0*f - 68. Solve 5*b = 0, -b + s = 4*v - 3*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.4 + -5091466?\nAnswer: -5092042.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -40*r - 72. What is the remainder when j(-15) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*q + 806*q = -751*q - 5188 + 469 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 223380*k**3 - 3128300*k**2.\nAnswer: 5*k**2*(k - 44690)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - 0 - (156 + -31164).\nAnswer: 2, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1938 - 2840. What are the prime factors of (-20 + 19)\/(2 + y\/450)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 15951.4379.\nAnswer: 1595.14379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 3. Let a = d + 10. Differentiate 2 + 1 - a + u wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + l + 2 - 3 + (-316 + 25*l + 316)*(-2 - 2 + 8) in the form f*l + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (sqrt(1584) + 1*sqrt(1584))*6 + sqrt(1584))**2 - (sqrt(11) + sqrt(88)\/sqrt(2) + -5 + (sqrt(22)\/sqrt(2) - sqrt(11)))) + 2.\nAnswer: -3*sqrt(11) + 310471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 6*s - 5. Let k be b(5). Suppose c + 2*c = -k. Suppose 0 = -2*g - 0*g + 5*i - 32, -5*g - 42 = -3*i. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*r**5 - 106*r**4 + 90*r**3 + 130*r**2 - 112*r - 24 = 0. What is r?\nAnswer: -1, -2\/11, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r**(-6\/5)*r**(2\/29)*r\/(r**(-1\/14)\/r))\/(((r**4*r)\/r*r**(2\/9))\/(r**(1\/4))**(-1\/3)) assuming r is positive.\nAnswer: r**(220513\/36540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 3 = 3*s. Let t = 15 - s. Let m = 0 + 2. Put -4, m, t in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -18. Let k(q) = q**3 + q**2 - q - 1. Let a be k(b). What is the remainder when 47 is divided by (36\/10)\/(a\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*v**2 + 13 + 105*v**2 + 28 - 16 as p*v + z + o*v**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5163 + -2908. List the prime factors of r.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 80 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 321\/72 - (0 - 0) and -2 + (-297)\/(-96) + (32 - 30).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -252*m + 229*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000143496472 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 26*p - 3610. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4 in ascending order.\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1366152, -2731745, -4097338, -5462931?\n\"Answer: -1365593*m - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let u(c) = -27 - 61 + 1 - 33 - 48 + 5*c. What is u(q(y))?\nAnswer: 15*y**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 7:19 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131133332 (base 4) to base 3.\nAnswer: 20010202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-3) + 2\/(-6). Let q be 0 + -3 - (-22)\/g. Let n be 0 - (-1 + (-2)\/2). What is the third biggest value in -0.3, q, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 24) + 6 + 18 + -45?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzwk when four letters picked without replacement from zbbbswzpzkbzppbb.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = 5*s, 0*w = 3*s - 5*w - 16. Let g be 1 + 1\/(s\/4). Solve 0 = h - g*k + 13, k + 5 = -2*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 4\/7*c**2 - 4\/7*c**3 - 1\/6*c**4 - 12*c + 0. Factor z(i).\nAnswer: -2*(i + 2)*(7*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y. Factor -2 + y - 3*b + 4*b + b**2.\nAnswer: (b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - r + 17798 = 0, -2*c + 44*r - 45*r + 35603 = 0. Calculate the highest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12389*o - 14095 wrt o.\nAnswer: 12389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18815 divided by 265?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:13 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512 and 13176.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 110303490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -571.21 times 31.2\nAnswer: -17821.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 183475?\nAnswer: 733900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:17 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057111 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - -1. Let q = 49 - p. Let a = q + -20.2. Put -4, 0.2, -3\/7, a in increasing order.\nAnswer: -4, -3\/7, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: df441 (base 16) to base 7\nAnswer: 10526113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 1 + 219*i + 93*i.\nAnswer: 316*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6592231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311 + 311 + 2*m to the form w*m + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m + 112. Give i(14).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-4 - (-1 + -4)). Suppose -2*c + 180 = 4*p - f*p, -3*c + 275 = -2*p. Calculate the highest common factor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.797108 millennia?\nAnswer: 4797.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 10*j - 11. Let g be h(9). Let l be (5 - 5)\/(4\/g). What is the closest to -1 in -0.3, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9)**(11\/6)*(g**(5\/7)\/g)**35 assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 17, -0.4, -1\/7, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crzrcm. Give prob of picking 1 m, 1 c, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10176560.07 to the nearest ten thousand.\nAnswer: 10180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -400*x**3\/3 + 120*x**2 - 36*x - 5. Factor w(a).\nAnswer: -4*(10*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17d4c (base 15) to base 2\nAnswer: -10010110110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 26. Suppose p = 3 - 2, x*q - 4*p = 36. Suppose 14*h + 16400 = q*h. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -344*k**2 + 4630*k + 2594. What is a(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 + 414626*j - 257872079814.\nAnswer: -(j - 1243878)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 763 = -5*o, 8*b - 1923 = 3*b - 3*o. Is 64 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1089*a**2 - 1672*a**2 - 2 + 2 - 2655*a**2 as f + x*a**2 + w*a and give x.\nAnswer: -3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 16. Suppose m + m - 2*u = 600, u = -4*m + 1175. Let y be 0 - m\/(-35) - 6\/14. Calculate d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/5))**(-22))**(-5) assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138477 (base 9) in base 14?\nAnswer: 21c448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*41\/451 + (2040\/(-27))\/(-8). Solve -i - 194\/9*h - 10\/9*h**2 = 0 for h.\nAnswer: -19, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -5*h**3\/3 - h - 20. Let w be m(-1). Let c(l) = l + 2. Let j(u) = 2*u + 3. Calculate w*j(f) + 10*c(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -7*l**6\/15 - 3*l**5\/10 + 7*l**4\/6 + l**3 + l + 118. Factor m(i).\nAnswer: -2*i*(i - 1)*(i + 1)*(7*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/(f*f*(f\/(f**(2\/17)*f))\/f))**(-1\/18) assuming f is positive.\nAnswer: f**(-35\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24459 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (4 - (8 - 3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131 + -23?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 - 3*z - 3. Let p be s(4). Suppose p = -r + 8. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48391 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 217313*f**2 + f - 217313.\nAnswer: -(f - 217313)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 90. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*g + 2*c - 6*c, -4*g = 3*c - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.104314 - -0.103. What is p rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33413 is divided by 696.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1408) + sqrt(1782) + sqrt(1782) + (sqrt(1782) + (sqrt(1782) + -3*sqrt(1782) - sqrt(1782)) - sqrt(1782)))\/(6*-6*(sqrt(1331) + 2*sqrt(1331)))*2.\nAnswer: sqrt(2)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 + -155. Solve -5*k + 4*a - 4 - 17 = 0, -2*k - 5*a = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -95. Sort a, -4, 43 in ascending order.\nAnswer: -4, a, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 74 + 63 - 222 + 56 to the form d + a*m and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 - 3*v - 47. Calculate w(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.33, 1073937 in decreasing order.\nAnswer: 1073937, 0.4, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111001 (base 2) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119211 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6148 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let o be ((-40)\/8 + (7 - 2))\/s. Which is the biggest value? (a) o (b) -4 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31347827 to the nearest integer?\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 2, i: 3, j: 1}. What is prob of sequence fuii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 75. What is c(0)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*n + 108*n + 3133 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16527796 and 1?\nAnswer: -16527796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11814957 + -7994957. What is z rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-280)*4 - (-139)\/7. Let g(d) = 6*d**3 - 23*d - 7*d**3 + w*d. Let u(m) = -m**3 - 7*m + 1. Determine -5*g(p) + 2*u(p).\nAnswer: 3*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -19, 357 in decreasing order.\nAnswer: 357, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -1*sqrt(77)*6)\/((sqrt(88) - (sqrt(88) + -2*sqrt(88) - sqrt(88)))\/sqrt(8)) - ((-5 + -2*(sqrt(7) + -2*sqrt(7)))*3 + 4).\nAnswer: -11*sqrt(7)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = s - 4*p, 37*p + 43 = 5*s + 36*p. Suppose 0 = 4*i - i - 24. Calculate the greatest common factor of i and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3898?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 22*m + 52*m - 29*m - 6*m + m + 0*m + (1 - 1 - m)*(2 - 12 - 2).\nAnswer: 8*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 172, 236, 300?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 2, d: 4, p: 2}. Give prob of sequence hm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11423*y - 57346. Calculate s(5).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = 8. Let q be (-296)\/(-50) - (-78)\/975. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1567, -3334, -5 in increasing order.\nAnswer: -3334, -1567, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 5 + sqrt(325) + 1 + sqrt(325) + 5 + (-1 + (sqrt(325) - (-1*sqrt(325) - sqrt(325))) + sqrt(325))*-6)**2.\nAnswer: -3570*sqrt(13) + 143614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 233.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 5*j - 53 = 7. What is the remainder when 295 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34899677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 61891 - 61819. Calculate the greatest common divisor of 2034 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2081.7 - 2081. Put -7, -0.06, z in ascending order.\nAnswer: -7, -0.06, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1247372, 1247367, 1247358, 1247345, 1247328, 1247307?\n\"Answer: -2*g**2 + g + 1247373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/2*(-3)\/(-9))\/(8\/6)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*v**(-6)*v\/((v*v**(-2\/17)*v)\/v)*v*v**(-2\/13)*((v**(-1\/22)\/v)\/(v\/((v**(-3\/16)*v)\/v)))**(-5\/4) assuming v is positive.\nAnswer: v**(-1127207\/155584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134004848?\nAnswer: 2, 3, 3067, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -0.029, -1\/5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.9 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 17. Let b = m + 12. Suppose -t = -0*t - f - 27, 5*t - 85 = -b*f. Calculate the remainder when 43 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*u - 45, -5*m - 17 = -3*u - 98. Let c be (m\/(-3 - -6))\/2. Suppose w + 0*w - 6 = -d, 2*w - 14 = -c*d. Sort 0, -2, w in increasing order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8 - 5*q**2 + 9 + 87*q**3 - 120*q**3 + 5. Let o(a) = -50*a**3 - 7*a**2 + 33. Let i(j) = 5*o(j) - 7*z(j). Find the first derivative of i(k) wrt k.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-9))\/(-2))\/((-17187)\/6066).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1728032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 30, 0, 17, 5, 6, 1.\nAnswer: 0, 1, 5, 6, 7, 17, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 1008?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**2 + 21*y - 21. Let f(v) = -v**2 - v + 1. Calculate 63*f(c) + 3*h(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 29322.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270992907094 - 270992904621.58640043. Let k = 2472.8936 - v. Let h = k + -0.48. Round h to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 635 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7511 and 14971453.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/6)\/(-4)*-1002. Suppose 13*r = 18*r - w. List the prime factors of r.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 8*c**2 + 15*c**2 + c**3 - 10*c**3 - 11*c - 21*c**2 to the form t*c + n*c**3 + w + y*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 18 = s. Solve 0 = 3*h + 7 + s, 2*h - 10 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5371 is divided by 764.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(18) + sqrt(2) + (sqrt(2) - (sqrt(4)\/sqrt(2))**2*1) + 1 + sqrt(2) + sqrt(2) + sqrt(2)*1 + -3*(sqrt(8)\/sqrt(4))**2.\nAnswer: -7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 4, 9, 16?\n\"Answer: c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -122, -250, -378, -506?\n\"Answer: -128*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 + 576. Calculate the greatest common divisor of a and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-3.5.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1688 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-20)\/p*(p**(-14)\/p)\/p*p*p)\/(p**(-8\/7)\/(p*p**(-4))) assuming p is positive.\nAnswer: p**(-251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 50. Let z(o) = -34*o. Determine i(z(t)).\nAnswer: 2312*t**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.13, -2, 3, -11?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**12)\/(b\/(b**(2\/3)\/b)) assuming b is positive.\nAnswer: b**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*w**2 - 2 + 1 - 70*w**2)*(-2 - 3 + 3)*(-4*w + 2*w + 4*w)*(6*w - 3*w - 4*w) as c*w**3 + o + v*w**4 + r*w + i*w**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238.9 - 263. Let r = z - -24. Which is the nearest to r? (a) -2 (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 229*d. Let r(k) = -3*k**2 - 272. Calculate h(r(u)).\nAnswer: -687*u**2 - 62288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 102. Suppose -t + 8 = 1. Suppose -2*s - 5 = -3*q + 4*q, -4*q - t = -5*s. Which is the second biggest value? (a) s (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**2 - 30*f + 24. Is z(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-396)\/1584)\/((-27)\/4). Which is the closest to 2.2? (a) l (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, -5, -27, -67, -131, -225, -355, -527?\n\"Answer: -m**3 - 3*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2 + 2 + (-2 + 1 + 0)*(-2*n + 3*n - 2*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 32*i + 73*i + 4038 - 8189 + 4151.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**2*i + 14*g**2*q**2 - g**2*q + 37*g*i*q**2 + q**2 wrt i?\nAnswer: 4*g**2 + 37*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 + 5*w - 3. Let l be f(3). Solve l = m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (1 - -11 - 50) + -17.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-1 - 1) + 2). Suppose 3*t + 6 = g, -w + 4*t + 63 = -0*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25958, -25959, -25960, -25961, -25962?\n\"Answer: -h - 25957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*y + 0 - 3*y + (-4*y + 4*y - 2*y)*(1 - 4 + 2))*(2*y**4 + 0*y**4 - y**4).\nAnswer: 3*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1702 = -3*j - 3*z, j - 338 = -3*z. Let y = j + -1004\/3. Find the common denominator of -126*2*(-1)\/(-40) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o + 7*o**2 - 20*o**2 + 9*o**2 + 20*o wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*u**5 + 12699*u**4 - 876033*u**3 + 26845977*u**2 - 308354310*u.\nAnswer: -3*u*(u - 47)**3*(23*u - 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-1))))**(-5\/3)*z**(1\/10)\/z*z**1*(z**(-5)*z*z\/((z\/(z\/((z*z**(2\/9))\/z)))\/z)*z*z*z)\/(z**1*z**(4\/7)) assuming z is positive.\nAnswer: z**(-437\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864.2 greater than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3082 rounded to 2 decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 823337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11180486, -22360972, -33541458, -44721944, -55902430?\nAnswer: -67082916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/224*-18)\/((-11)\/((-308)\/(-48)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -18. Suppose -3*g - 3 = 5*b, b + g + h = 2*g. Let l = b + 12. Calculate the lowest common multiple of 5 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k + 257 - 317 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + 71 - (5 - (12 + 0) - -11)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -18*h**2 + 11*h**2 - 41*h**2 + 89 + 66*h. What is the first derivative of g(c) wrt c?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7300 + 7314. Solve 2*q = 4*q - 8*h + 44, 4*h = -3*q + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 75 + 522 = -174 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -22, 69, 12.\nAnswer: -22, -9, 12, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 4*n + 4. Let s be v(4). Suppose 8 = 4*t - s, -m = -5*t + 13. Solve -6 = -m*c - 0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Suppose 5*s = 4*j + 37, 2*j + 31 = 4*s + f. Suppose 4*a = 2*p + 56, -3*a + s*p = 17 - 66. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = c + 6, -3*c + 24 = 18*b - 19*b. Let g(r) = 10*r + 25. Calculate g(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 13, z: 3}. What is prob of picking 2 d and 2 z?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a - 3*a - 21*a + 9*a. Let u(p) = -17*p. Let b(l) = 6*c(l) - 13*u(l). Let t(j) = -2*j**2. Give b(t(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 2*t**3 + 13*t - 3*t.\nAnswer: -4*t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by 47?\nAnswer: -286\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003065 rounded to six dps?\nAnswer: 0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cct when three letters picked without replacement from {c: 1, j: 1, a: 7, g: 2, t: 3, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*o + 19*o - 88*o)*(-4 + 1 + 1) + (4*o + 14*o - 10*o)*(0 + 0 - 1) in the form u*o + a and give u.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025983 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7481\/13 + 575. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000192499477 rounded to seven decimal places?\nAnswer: 0.0001925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 + 4. Suppose f + 4*x - 2 = -27, -k = 4*f + x. Calculate the common denominator of (5\/2)\/(4\/(-32)) and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5378*y - 5352*y - 234 = 0. Let q(j) be the third derivative of j**6\/120 - j**5\/6 + 3*j**4\/8 + j**3\/6 - j**2. Give q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 + 29*f + 7. Let d(i) = 10*i**2 - 26*i - 6. Let c(r) = -10*d(r) - 9*m(r). Let b(h) = 4*h**2 + 4*h + 9. Calculate 2*b(l) + 7*c(l).\nAnswer: l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19\/2, 3, 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2235, 58, 5, -3, 0 in descending order.\nAnswer: 2235, 58, 5, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*d, 4*p + 2*d + 0*d - 6 = 0. Suppose -p*u - 2 = -4*u. Let v be -19*2\/(-4)*u. What is the greatest common factor of v and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16. Suppose -21 = -u*o - 3*o. Solve 2*x - o*x + 20 = 5*k, -4*k - x = -19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 4. Let i = -5 - -7. Suppose 4 = -i*b + 12. Determine p(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0071*0.8289\nAnswer: -0.00588519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19040329, -38080661, -57120993, -76161325, -95201657?\n\"Answer: -19040332*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365543, 365532, 365517, 365498, 365475, 365448, 365417?\nAnswer: 365382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747258.3 decades to centuries.\nAnswer: 74725.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 3ba?\nAnswer: -3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -10044113?\nAnswer: 10044121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -854574\nAnswer: 1\/284858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -3.6. Let a be (-1 + 2)*(8 + -16 + 3). What is the third biggest value in h, 3\/7, 6, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*g = 0, 0 = -5*c + g - 6*g. Solve 3*h + c*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 3*w + 4*v - 2330, -3705 = -4*w - 5*v. What are the prime factors of w?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/41307 and 11\/262.\nAnswer: 10822434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10691658 (base 10) to base 13.\nAnswer: -22a4633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 23. Let t be m\/48*-1*4. Suppose 5*k = -2*w + t*k + 4, k = -4*w + 8. Solve 0 = -z + w*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-7)\/2 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1942*w - 41. What are the prime factors of m(-2)?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.7 (b) 0.04 (c) 3 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 11*v**2 + 2*v + 23. Let d be m(-11). Solve 3*c - 5*s - 25 = c, -c - 2*s - d = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 + 14*m**4\/9 - 1972*m**3\/3 = 0. What is m?\nAnswer: -58, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -87, -85, -83, -81, -79?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137\/(11919\/(-58)))\/((-22)\/72).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/110*9\/((-8532)\/8)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o + 28. Determine w(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - 0.06. Let j = 11482.70113 + -11483. Let z = w - j. Round z to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*(z*z\/(z\/(z\/z**(-5\/2))))\/z)\/((z*z**(-7\/3))\/z*z\/(z\/((z*z**7)\/z)*z)))\/((z**(-2)\/z)**(-3))**(-9\/13) assuming z is positive.\nAnswer: z**(1019\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56407.94ml in litres?\nAnswer: 56.40794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -147?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 1\/(-2). Let j = -569 - -782. Let q = j + -212.5. What is the nearest to 0 in -5, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/56 + 3*(-4)\/32\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/(-56))\/(15\/10))\/(55\/352*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 561543579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 18*c + 81323. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e6 (base 15) to base 12.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730638 divided by -37?\nAnswer: -5730638\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -0.64. Let d = -5.6 - k. What is the closest to -0.1 in -3, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 2*r**2 + r**2. Suppose l + l = 2*o - 26, -o + 2*l = -18. Let q(f) = -3 + 4 - o*f - 1. Determine g(q(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -17. Let l = g + 28. What is the greatest common divisor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102201 + -102200. Let s = -0.1 - -0.4. Which is the fourth biggest value? (a) 1\/4 (b) h (c) -1.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -1106, -5, 40, -4 in descending order.\nAnswer: 40, 3, -4, -5, -7, -1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9215 is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4558818 (base 10) in base 2?\nAnswer: -10001011000111111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567224583 and 5055?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -124*g - 1382. Calculate t(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 - 571*q**3 - 40504*q**2 = 0?\nAnswer: -488, -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3174 + 3499. Which is smaller: 327 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujeebuejuaagjuguu. Give prob of picking 1 u, 2 g, and 1 j.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1003*z**2 + 3118*z**2 + 39*z**2 + (-3*z + z - 3*z)*(0*z + 3*z - 4*z) - 2*z**2 + 5*z**2 - z**2 as c*z**2 + i*z + g and give c.\nAnswer: 4167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -9, -6\/7, 0.12, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677154 is divided by 637?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1612805 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 445429 = 4*h, 86*g + h = 87*g - 445450. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6523 + 6475 - (12 + -1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 - -347. What is the remainder when h is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*a + 4*a + 66*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2006 - -2016. What is the third smallest value in -3\/2, c, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/2)\/(-1 - -2). Suppose o - 19 = -5*s. Suppose x = -3 - 0, 4*l - s*x = 41. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/11, -3\/5, -0.98, 1534, -1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*d, 6*d = n + 3*d. Suppose b + v - 98 = n, -3*b + 2*v + 142 = -127. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 + 2 = -o, -o + 3*h = -15. Suppose -8 = -o*v + 10. Solve v = 3*i - 0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 28357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34473\/66 + (-2)\/(-11). Let g = 552 - d. Calculate the common denominator of 61\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -7438?\nAnswer: -14\/3719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38527390, -38527389, -38527388, -38527387, -38527386?\n\"Answer: s - 38527391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*(-l + l + 2*l) - 17 + 17 + 19*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1243 - 47 = -6*j. List the prime factors of j.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 0*w + 4*w)*(-4*w + 5*w + w) + w**2 - w**2 + w**2 + 12*w - 12*w - w**2)*(w - 61 - 84 + w**3 - 3*w**3).\nAnswer: -8*w**5 + 4*w**3 - 580*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 18*n**3 + 4*n**3)*(-1 + 0 - 1) + (-2*n + 0 + 0)*(-n**2 + 0*n**2 + 3*n**2).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 347 and 6070.\nAnswer: 2106290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqarzzmzazqzama. What is prob of picking 1 a and 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Let p = 4 - o. Let u(n) = 42*n**2 - n. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*l - 50 + 54, -4*l + 6 = -5*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 34. Let o be g(10). Suppose 0 = -o*j - 0*j - 19200000. What is j rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - 21\/(-9). Suppose 2*u = q*u - 2. Find the third derivative of c**2 - 2*c**5 - c**2 + 2*c**u wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*v**3 + 3 + 76*v**3 + 2*v - v + v**2 - 3 to the form s + a*v**3 + g*v**2 + y*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380530?\nAnswer: 2, 5, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 78 = -2*v, -4*v + 160 = 8*n - 3*n. Let k(r) = 6*r**2 + r - 2. What is the remainder when v is divided by k(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1116?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*i**2 - 3*g**3*o + 99*g**2*o + 2*g**2 + 4299*g*i**2 + 2*g - 242*i*o + 4275*o wrt i.\nAnswer: -4*g**3*i + 8598*g*i - 242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 511496989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/13 + -4 - (-16)\/((-5408)\/(-117))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192)*2 - sqrt(192)) + sqrt(192))*4)**2 + -5.\nAnswer: 12283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/3)*k*k**11*(k**(5\/7)*k)\/(k\/(k*k**(4\/15))) assuming k is positive.\nAnswer: k**(536\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 568*o**5\/13 + 797906*o**4\/13 + 230544*o**3 + 186830*o**2 - 762152*o\/13 - 11208\/13 = 0.\nAnswer: -1401, -2, -1\/71, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*r + 11*s - 10*s, -4*r = -8*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1744880 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from euxemsmuv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-62) - (-160182)\/(-6138).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9205 - 956?\nAnswer: -9b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 2175*n**3 - 315375*n**2 - 15243125*n.\nAnswer: -5*n*(n + 145)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993005 is divided by 1089?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from lnnlnlnnlnnnnnnlnln?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a - 3*u - 131, u - 27266 + 27263 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178502938 to the power of 1\/2, to the nearest integer?\nAnswer: 13360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.256331 - -0.243669. Let y = -159\/4 + 40. Put f, y, 14 in increasing order.\nAnswer: y, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**5\/20 + m**4\/2 - m**3\/6 - 4*m**2 + 17*m - 3. Let r(f) be the first derivative of n(f). Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*t + 45 - 45)*(-62 + 31 - 106) to the form d + u*t and give u.\nAnswer: 11097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(42)*-1)\/(-4*sqrt(18)\/sqrt(3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 12*i + 15. Give h(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:52 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/9*(3 + 0). Put r, -5, -2\/9, 1\/25 in descending order.\nAnswer: r, 1\/25, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164\/45 or 5?\nAnswer: 164\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 3*w - 67, 5*f - 2*w = -68. Is 12 a factor of (4\/f - -2)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) + 1*3\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {k: 1, j: 1, q: 1, w: 1, e: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 + -222. Put w, 0.4, 4, -3\/7 in decreasing order.\nAnswer: w, 4, 0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimimmi. What is prob of sequence imi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 - 765*w**2 - 10630*w - 38640 = 0.\nAnswer: -138, -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/4 + q + 2. Let t(i) = -5*i**4 - 4*i**3 - 7. Let b(l) = 4*o(l) - t(l). Differentiate b(u) with respect to u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 21*k + 224 = 0. Let h be (24\/6)\/4 + k. Is 30 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/(-50) - 280\/28\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 10:15 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96.59? (a) 2 (b) 3 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let b = 1.9 - c. What is the closest to b in -2, -2\/13, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.015048 and -0.3.\nAnswer: -0.315048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28959 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36 - 1)*(-2 + 1). Is 3519\/7 + (-10)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkyaody. What is prob of sequence ky?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*r**3 + 0*r**2 + 0*r**2 + ((4 - 3 - 2)*(-r**3 + r**3 + r**3) + 3*r**3 + 0*r**3 + 0*r**3)*(0 + 2 - 1).\nAnswer: 79*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -0.4 (c) 2\/7 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 17*q**2\/2 - 4*q + 6.\nAnswer: (q - 6)*(q + 1)*(3*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2897278.9653 - -2897552. Let d = -273 + i. Let r = 0.2537 - d. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -20 - 2. Suppose 5*r = -4*a + 27, 5*a - 26 = -d. Let z(k) = -k**3 + 4*k**2 + 12*k + 7. Let g be z(6). Solve 0 = -g*p + r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7082356 (base 10) to base 3.\nAnswer: -111022211011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -625 + 649. Suppose 8*z + k*z = 2880. Suppose h - 3*i = 23, -9 = 3*h + 4*i - 65. What is the highest common divisor of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5294*m**2 + 21148*m - 2. Calculate z(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -45\/4*w**2 - 121 + 132*w + 1\/4*w**3 = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -19. Let m(d) = -10*d - j - 10*d - 14*d. Is m(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-3)\/(-3))\/((-6)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from wwlowlw.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 26 + 16. Let z be 1302\/558 + -2*(-2)\/t. Which is the fourth biggest value? (a) -2 (b) -0.1 (c) z (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = 2*a, 5*s = -a + 3*a - 26. Let q(o) = -8*o - 24. Let y(b) = -b - 2. Let k(r) = q(r) - 10*y(r). Calculate k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/9 - 2*n**2\/9 - 16*n\/9 + 8\/9.\nAnswer: 2*(n - 2)*(n + 2)*(2*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*i*u + 932*f**3*u**3 + 2*f**3 + 2*f*i**3 - i**3*u**3 + 9*i**3*u**2 - 3*u**2 wrt u.\nAnswer: 5592*f**3 - 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5836, -5834, -5832, -5830, -5828?\nAnswer: -5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**2*v**3 - 5353*s**2 - 40308*v**3 wrt s.\nAnswer: 2*s*v**3 - 10706*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 666334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 2*w**3 + 0*w**3)*(0*w - 2*w + 0*w) + w**4 - 5*w**4 + 3*w**4 - 394*w + 394*w - 11*w**4 + w**3.\nAnswer: -10*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.73. Let c = -224.311 + 224. Let z = w + c. What is z rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 378.5 and -26.389.\nAnswer: 352.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 561958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y - 34. Let w(f) = -f + 9. Let d be w(y). Let c = 0.21 - 0.71. Put 0, c, d in descending order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 532992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10579*c - 7. Let x(n) = -2*n**2. Calculate v(x(z)).\nAnswer: -21158*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 21 + 9 = 0. Let t = 4 + x. What is the remainder when 3 is divided by ((-8)\/16)\/(t\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a - 4. Let r(n) = 8*n + 2. Let j be (-2 - (0 - 1)) + -7. Let p be ((-6)\/j)\/(1\/8). Let m = 16 + -3. Give m*r(o) + p*x(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 4, f: 2, g: 1, d: 7}. Give prob of sequence cyd.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44\/21 or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*z - 137. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 120, 172, 222, 270, 316?\n\"Answer: -y**2 + 57*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.2. Let j = 195\/658 + -1\/94. Let p = 13\/28 + j. What is the nearest to o in p, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2\/7, -435161?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + i + 3. Let s(y) = 5 + 4 + 10 - 18. What is c(p) - 5*s(p)?\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -592253 - -996664. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2 - (-30)\/(-21). Let p = 5702.1 + -5702. Let r = -7 - -8. Which is the fourth biggest value? (a) z (b) p (c) r (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 2*i**2 - i + 3. Let c(o) = 2*o**2 - 3*o**3 + o**3 + 4 + 0 + 4*o**3 - o. What is -4*b(q) + 3*c(q)?\nAnswer: -2*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873174 is divided by 436583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-3)\/6 + -2). Suppose 4*v = 3*a - 12, -4*v + k*a - 14 - 6 = 0. Solve -5*m = -2*b - 23, v = 2*b - 0 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*d + 622 - 237, 2*v - 252 = -2*d. Let n be (-3)\/6 + v\/2. What is the derivative of -n*f**2 - 14 - 2*f**4 + 63*f**2 - 5*f**4 wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 748*b. Let a(d) = 138*d**2 - 2. What is a(y(x))?\nAnswer: 77211552*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 4:24 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95182 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/((2\/15)\/1). Suppose -15 = 2*t + 3*t, -3*d + t = x. Let r(k) = -3*k - 1. Give r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-670)\/(-45) - 1\/(-9). Let s = n - 13. Which is the third smallest value? (a) s (b) 3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 + -494. Let u(m) be the third derivative of -m**7\/5040 + m**6\/180 - m**5\/30 - m**2. Let o(r) be the third derivative of u(r). Give o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 28*l**2 - 52*l - 4. Let x be o(-26). Let r be (-4 - -24)\/x - -24. Solve 6*m = -1 + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 278*i - 279*i + 351. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 6*h**2 + 6*h. Suppose -4*t + 8 = -4*x, -8 = -t + 2*x - 7*x. Suppose -2*l - 5 = -t*l. Give v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 73429466*m**2. Let j(v) = -v. Give j(s(k)).\nAnswer: -73429466*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -44. Let a = v + -15. Solve a = s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 3. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/40395 and -62\/5?\nAnswer: 40395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(2\/(-1)) + 93)\/2. Suppose 53 = 2*w + h. Solve 21 = 5*j + 4*g, w*j - g - 10 = -6*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -24 + (33 - -1) + 13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 3, b: 12, f: 4}. Give prob of sequence fb.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-34)))\/q)**48*q*(q*q**21)\/q*q*q**(-2\/91)*q assuming q is positive.\nAnswer: q**(-150698\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:38 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10225 by 4.\nAnswer: -10225\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1093510 divided by -110\nAnswer: -9941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 - -321. Suppose 0 = -4*f - 4*t + 344, 3*f - 258 = -4*t + 2*t. What is the remainder when f is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16719 or -16715?\nAnswer: -16715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348312.\nAnswer: 2, 3, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l*l**(1\/4)*l*l))\/l))**2\/(l**(3\/11)\/l**(-7))*l**(1\/5)*l\/l**1*(l**(-2)*l)**(-50) assuming l is positive.\nAnswer: l**(5437\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -14. Let w = j - -10. Suppose -1041 = -w*b + 8*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/2 + 4)*(-3 + 27042\/30).\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2303, 2301, 2299?\n\"Answer: -2*j + 2305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.3 (c) 2 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120120 + -102120?\nAnswer: -11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2)*1*-2. Suppose -4*d = 5*p - 14, -3*d = -c*d + 1. Let l be 1\/4 + 33\/12. Solve 5*i = -p - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 6 + z + 8 in the form n*z + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2433 + -443201?\nAnswer: -1001134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2436946 years in millennia?\nAnswer: 0.0002436946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-30))\/((-78)\/65)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 53*k + 21. Let j be p(9). Let i be (10\/j)\/(20\/252). Factor -3\/5*d**2 - 36\/5 + i*d.\nAnswer: -3*(d - 4)*(d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g**(-2\/5))*g)**(-9\/2)*g**(-2\/3)\/(g\/(g*g**(-2\/3)\/g)) assuming g is positive.\nAnswer: g**(-529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/5 - 30732*o**4\/5 - 338218*o**3\/5 - 1168548*o**2\/5 - 319832*o - 738096\/5 = 0.\nAnswer: -6, -2, -1, 15377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y + 18. Let j(t) = -4*t**2 - 189*t + 344. Let p be j(-49). Let s(c) = c**2 - 1. Let i(b) = -3*b**2 + 7. What is p*i(q) + y*s(q)?\nAnswer: 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 89. Let b be o(16). Let j(k) = -3*k**2 + 2. Let c(d) = -12*d**2 + 9. Let t(x) = b*j(x) + 2*c(x). Let w(h) = -15*h. Calculate t(w(p)).\nAnswer: 675*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 155807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 986 + 397 = 0. Let d = j + -236. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -42*y + 520. What is c(13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -41, 4 in increasing order.\nAnswer: -41, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428819084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132924860 and 1535?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (49 - 28) - 35.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 274512*s. Let n(q) = q**2 + 5. Determine i(n(h)).\nAnswer: 274512*h**2 + 1372560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 0*p - 5*p)*(-85 - 42 + 21).\nAnswer: 1908*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1473)\/(-23))\/(-1) + 0 + (-11248)\/(-258704).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179401 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a - 2154 = -5*y - 91*a, 2*y - 854 = -5*a. Let x = y + -397. Calculate the greatest common divisor of x and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - a?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)*a**3*a assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -2 (c) -0.24 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*a*v**3 + 59*a*v**2 + 2*a*v - 2*a - 4*v**3 - 2*v**2 - 30907 with respect to a.\nAnswer: -19*v**3 + 59*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 2. Let d(i) = i**3 - 10*i**2 - 10*i - 10. Let o be d(11). Calculate c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 + 4. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u - 68. Let r(b) = -15*b**3 - 8*b**2 - 4*b - 18. Let g(j) = 5*j**3 + 3*j**2 + j + 6. Let h(f) = u*g(f) - 6*r(f). Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-86)\/6 + 3)\/(3\/(-2421)). Let l = g - -14609. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d + 5*d + 2*d - 5*d to the form g*d + k and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(187)\/(-2*sqrt(11)))**2 - -3*-1*sqrt(2057)).\nAnswer: -84*sqrt(17) + 351\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36841 and 2261?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 78.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 15265*w - 7138*w + 16552*w + 1662*w + 6267*w as i*w + d and give i.\nAnswer: 32608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -2538093323?\nAnswer: 2538093319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t - 5*g + 6, 8*t - 3*g - 16 = 0. Solve 16*m - t = 18*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15))**(7\/3) assuming b is positive.\nAnswer: b**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1651, -3300, -4955, -6616?\nAnswer: -8283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 62064900.\nAnswer: 62064900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6*(-3)\/(-6). Let q(r) = r**3 + r**2 + 2*r - 3. Let d be q(1). Which is the closest to d? (a) u (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*j**3*x**3 + 21*j**3*x - 509*j**2*x**3 + 2*j*x**3 + 370*j*x**2 + 2*j*x - x**2 wrt x.\nAnswer: 180*j**3 - 3054*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -32*z + 15*z + 5*z**2 - 10 + 2*z**3 + 16*z - 2*z**2. Let b be a(-4). Is b at most -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1977.242 and 6.\nAnswer: -11863.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6868, -13742, -20616, -27490?\n\"Answer: -6874*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2887\/40 + 587\/8. Suppose -4\/5 - k*d - 2\/5*d**2 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (7 - (-7 - 3)) + (-1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 7426 = -7426. Let x(z) be the third derivative of a*z + 0 + 1\/60*z**5 + 9*z**2 - 1\/2*z**3 - 1\/4*z**4. Determine x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40468 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 15. Let f = s + 6. Let n be (-9)\/(-18)*4\/2. Sort f, -5, n in descending order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 19*d - 24*d, -y - 2*d = -13. Solve y*n - 2*n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 + -5 + -2 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 53*v - 3307. Calculate the lowest common multiple of 2400 and f(63).\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159*q - 2146*q + 91 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(2*sqrt(468)*2 + -2))**2.\nAnswer: -2880*sqrt(13) + 187344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 - 316?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + j**4 - 8*j + 493 + 493 - 4*j**3 - 985 + j**2 - 2*j**2 to a*j + p*j**2 + y*j**3 + n + q*j**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6529481 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:24 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**4 + 2*t**3 - 2*t**2 + 49. Let w(z) = -46*z**4 + 11*z**3 - 11*z**2 + 245. Let o(l) = -2*w(l) + 11*x(l). Find the first derivative of o(f) wrt f.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-9))\/(-2)*(-7510)\/18775?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2424021 - -3?\nAnswer: 2424024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 4*u + 2*u**3 + 2*u**4 + u**4 - 719 - 3*u in the form k*u**2 + o + y*u + d*u**4 + j*u**3 and give o.\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/39)\/(126\/91)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2194409151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -147?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137527 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*i - 120, -u + i + 30 = -0*i. Let r = u + -27. Suppose 23 = r*o - 10. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 314, 381, 448?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13046 and 2552.\nAnswer: 1513336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 3*u + 118 - u - 118.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1793256 litres to millilitres.\nAnswer: 179.3256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67420846?\nAnswer: 2, 31, 1087433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 4*f)*(1 + 3 - 2) + (13 - 8 + 8)*(8 - 8 + 2*f).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -74*p + 7889. Determine t(108).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let c(d) be the first derivative of -d**3 + 5*d**2\/2 - 85. Give c(r(n)).\nAnswer: -3*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = -3. Suppose 805 = 3*i + w*i. Calculate the remainder when i is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215509082.\nAnswer: 2, 107754541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 8. Let b = 39 + m. Let v(j) = -j**3 + 6*j**2 + 6*j + 10. Let q be v(7). Calculate the highest common factor of b and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00123828 rounded to 5 dps?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 26 = 4*i, 2*a - 2*i + 10 = -14. Let o = a - -15. Let d(f) = f**3 + 3*f**2 - 3*f + 4. Let q be d(-4). Solve 3*p - k - o = -q*k, 5*k - 8 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, k: 3, n: 1, o: 1, x: 5, i: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -i*z = 3*z - 5. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p. Let f(c) = -2*c**2 + 3*c - 172. Determine f(d(w)).\nAnswer: -72*w**2 - 18*w - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25613, -51242, -76871, -102500, -128129?\nAnswer: -153758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-1)\/(-6)*(-52 + -5152)?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 11510 = 331273. What are the prime factors of x?\nAnswer: 7, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1\/566, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19 = 11. Let 3 - 13*q**2 - 21*q**2 + 37*q**l + 6*q = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -286.6926 and -1941.\nAnswer: -2227.6926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 10*s - 3*s - 4*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087.0031 rounded to zero decimal places?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137580 is divided by 68756.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3856 - 3856 - 724*k as o + d*k and give d.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.7977l to millilitres.\nAnswer: 774797.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12633650543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 + 240*h - 8. Determine k(60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-2346)\/8. Let b = 507 - c. Suppose -3*l - b = l. What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:15 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 29 = -2*f, 0 = -3*m + 4*f + 25 - 2. Let u = 7 - 6.97. Which is the biggest value? (a) -5 (b) u (c) 0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833 = p - 5*o, -3407 = 3*p - 7*p + 5*o. Suppose -m = 5*m - p. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**3 - 8*o**3 + 6*o**3 + (0*o**2 + 3*o**2 - 2*o**2)*(-2*o + 0*o + 0*o) to x*o + z + n*o**2 + d*o**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1580 divided by -3.\nAnswer: 1580\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - -900. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 340, 1385, 3158, 5677, 8960, 13025, 17890?\n\"Answer: 3*r**3 + 346*r**2 - 14*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/29 (b) -3\/5 (c) 0.06 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + 1 + sqrt(343) + sqrt(343))**2 + (sqrt(7) + -1)*2 + sqrt(7).\nAnswer: 59*sqrt(7) + 5487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*((-14)\/8 + 1). Let m(a) = -a**2 + 4*a - 1. Let y be m(l). Suppose -5*i + 45 = -5*w, 0 = 5*i - y*w - 26 - 7. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + i + 18, y + 13 = 3*i + 34. Which is smaller: 81\/37 or y?\nAnswer: 81\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1934 divided by 3\nAnswer: 1934\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534503243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8573178 * 1\nAnswer: -8573178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 568096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 109. Suppose 3*s + 93 = 5*w, -5*w + 4*w + u = -4*s. Calculate the remainder when 68 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 827 = 350*a - 345*a, 5*k - 5*a - 2045 = 0. What is the least common multiple of k and 42?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 880 - -4?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2359.8 + -2360. Let r = 0.05 + 2.95. Let n = 3.9 - -0.1. Which is the closest to -1\/3? (a) r (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3162243 - -2?\nAnswer: 3162245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t = 65*t - 3*i - 474, -5*t + 740 = 5*i. What is the smallest common multiple of t and 45?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose -q = n - 5, 4*n = -y*n + 3*q + 13. Suppose 0 = -3*a + n*d + 14 + 15, 24 = 3*a - 3*d. Put -2, 0, a in ascending order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 1. Let j be p(6). Does 13 divide (2*j)\/(8\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 808, 3, -4, 64 in ascending order.\nAnswer: -6, -5, -4, 3, 64, 808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p**4 + 1 + 0*p**5 + 12*p**2 + 0*p - 29\/6*p**6 + 0*p**3. What is the second derivative of x(l) wrt l?\nAnswer: -580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036142856 - -58257?\nAnswer: 58256.963857144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d - 0. Let p be (d + 9)*4\/6. Factor -p*x**2 - 28 + 12 + 16.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 3. Let n be g(-1). Let r be (-39)\/15 - n - (-7)\/(-5). Sort -5, r, 3, -3 in ascending order.\nAnswer: -5, -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 0*w + 0*w + (2 - 15 - 1)*(-3*w**2 + 0*w + 0*w).\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d + 4*t - t, 4*t - 20 = -4*d. Suppose 0 = p + 4*q + 14, 3*q = 2*p + 2*p - d. Let c be (p\/3)\/((-8)\/36). Solve k - c*k = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 12*d**2 - 5*d - 21. Let b be q(-12). Suppose 0 = -7*r + b + 136. Calculate the highest common divisor of r and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(4*sqrt(5) + sqrt(5)) + -6*-2*sqrt(17).\nAnswer: 61*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.3, 3, 5\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2 = -5*b. Suppose 430 = b*k - 8. Suppose -2*z - z = -k. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15239514 or 15239511?\nAnswer: 15239514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*-16 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b9 (base 12) to base 6.\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39377367053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157170447?\nAnswer: 3, 7, 2494769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 - 2. Suppose 0*o - 4*o = -l + 2, 13 = 2*l + o. Calculate the least common multiple of p and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 23*b**2. Let a(p) = -8772606*p. Calculate o(a(u)).\nAnswer: 1770048168718428*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 5*l - 147. Let f(b) = -2*b**2 + 3*b + 98. Let j(d) = -7*f(d) - 5*g(d). Let v be j(9). Solve o + 4*a = 3 + 1, 4*a = v*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 6 (b) -2\/9 (c) -0.1 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/1260 - l**6\/30 - 3*l**5\/5 + 3*l**4\/8 - 4*l**2. Let p(z) be the second derivative of c(z). Suppose p(g) = 0. What is g?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppal when four letters picked without replacement from vpglugupa.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6789)\/108 - ((-32)\/18 - -2). Let y = q + 63. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -1.8. Which is smaller: i or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 4*y**2 + 2*y - 4. Let s be n(3). Let k(t) = t**2 - 4*t - 1. Let p(r) = -6*r**2 + 21*r + 5. Calculate s*k(u) + 2*p(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:24 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(103*m - 209*m + 89*m + 2).\nAnswer: 17*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 0.635246?\nAnswer: 5.635246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16283106 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: Factor z**2\/2 + 51015*z - 102031\/2.\nAnswer: (z - 1)*(z + 102031)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -4*m - 2*b, -4*m + 3*b + 760 = 227. Calculate the remainder when 1825 is divided by m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzz when three letters picked without replacement from {h: 1, z: 3, b: 7, s: 1, d: 4}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*v**2 - 189*v**2 - 56*v**2.\nAnswer: -313*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/7 + 16*l**4\/7 + 16*l**3\/7 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 - 2*l**3 + 72 + l**2 - l**4 as i*l**4 + k*l**3 + s*l + a + v*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2806712 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.8 + -27. Let n = 6 - x. Which is bigger: 3\/2 or n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -731648380, -731648379, -731648378, -731648377, -731648376?\nAnswer: -731648375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - h + h - 4*h. Let l(z) = -2*z - 9*z - z. What is l(q(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-10 - (-5 + -9)) + -13 + (-34 - 1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109c54c (base 14) to base 7.\nAnswer: 124141025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -148222407*s. Let c(l) = -l. Give c(o(r)).\nAnswer: 148222407*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3676*d**4 + 2*d**2 - 1884*d**4 + 5 + 9*d - 1796*d**4 - 4*d**3 as v*d**4 + q*d**2 + t*d**3 + m*d + b and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/5 - 664*d**2\/5 - 1334*d\/5 - 668\/5 = 0.\nAnswer: -1, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40215 (base 7) to base 2\nAnswer: -10010111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -7405191?\nAnswer: 51836337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -50\/3, 1, 0.1, -1, 29\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0639 * -228.857.\nAnswer: 14.6239623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261614546?\nAnswer: 2, 661, 197893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avtavvgatvt. Give prob of picking 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s**2 - 3 + 2102*s**3 + 2*s - 18 + 0*s + 3*s**2. Let n be r(-13). What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6004 and 104596.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 11*x - 3. Suppose -b + 48 = -0*b. What is the remainder when b is divided by v(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -2*f + 2, 0 = 5*l + 3*f - 12. Suppose l*y + 5*y - 50 = 0. Let k = 24 - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -6 - (1 + 1 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1065 (b) -2\/5 (c) -0.5 (d) -2\/17 (e) 1.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*96\/64. What is the nearest to 1 in -8, n, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.7 - -53.3. Let k = w - 68. Which is the biggest value? (a) 0.5 (b) -5 (c) k (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 + 166212*p**2 - 121 - 120.\nAnswer: 166212*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10401828 and 18.\nAnswer: 31205484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from udlku?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 15 = 0. Suppose r*m - 6*m = 3*t + 6, -3*m = 5*t. Suppose 2*l = 4*o - 40, -4*o - t*l - 24 + 64 = 0. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a8a (base 11) to base 16\nAnswer: -a4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59866487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4647513 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140\/2207 or 0?\nAnswer: 140\/2207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4073678086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 999 = -l - 999 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 15\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 54 - 11 = 2*h, -4*h - 148 = -4*u. Solve -7*s - 6*s - u = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807903998?\nAnswer: 2, 47, 5303, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/4 + 3067527*i**2\/8 - 3642747*i + 4601376 = 0. Calculate i.\nAnswer: -511264, 3\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 9*l - 14. Let o be v(6). Suppose 7*b - 2*b - 414 = -o*m, 2*b + 501 = 5*m. Calculate the remainder when m is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 99900 = 649*w - 17*w. Solve -13*g = -83 + w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*g - 432*g**2 + 67*g + 74*g - 228*g to the form h*g + w*g**2 + u and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 1348*f + 1350.\nAnswer: -2*(f - 675)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.251513 - 0.252. What is z rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -268, -916, -1994, -3496, -5416?\n\"Answer: n**3 - 221*n**2 + 8*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-6))\/(1127\/(-483)))\/((-3)\/9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93943222 is divided by 2397?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 2 + 1 + 11 + 4*o. Suppose 4*q - 3*l = -2*l - 25, 3*l = -2*q - 23. Let z be c(q). Solve z*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -575 (b) -2 (c) -0.084 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 753666779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.23 and 137?\nAnswer: 135.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24251\/22638 - 2\/11319. Find the common denominator of p and 1\/6*(-71)\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36449, 36469, 36507, 36569, 36661, 36789, 36959, 37177?\nAnswer: 37449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, 3\/7, -20, 0, -0.2, 2, 1 in ascending order.\nAnswer: -153, -20, -0.2, 0, 3\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 88, 90?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.1, -5\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let m(u) = 9376*u**2 + u - 46. Determine z(m(a)).\nAnswer: 9376*a**2 + a - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:25 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 65338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 5*c, 0*u + u - 7 = 2*c. Let i be (-1)\/((-1 - 1)\/4). What is the third derivative of -1 + 2*w**i + 1 + w**u wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-40)*(-800)\/(-1400))\/(-2*(-1)\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062056 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1440) + sqrt(30)\/(sqrt(6)\/sqrt(2)))\/(4*(sqrt(162) + (sqrt(162) - (sqrt(162) + (sqrt(162) - -1*sqrt(162))) - sqrt(162)))).\nAnswer: 23*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57933636 - -242741931039\/4190. Let u = a - -3\/419. What is the common denominator of u and 2\/65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965 + 86*r + r**2 - 6*r + 4*r**2 - 1145 = 0. What is r?\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 49 = 5*z. Let f = -3433\/5 + 692. Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67376049149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -112\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 149*u + 267. What is the remainder when 4364 is divided by c(37)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*a + r + 35, -4*a = -4*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7*z = 2*z + 44, 0 = -2*v + 2*z + 4. Suppose 6 = g - 2*a, -2*a = 3*g - v*a - 12. Suppose 2*r - 322 = -g*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -4\/11, 7, 0.5, 2\/21 in increasing order.\nAnswer: -4\/11, -2\/9, 2\/21, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 234, 943, 2132, 3807, 5974, 8639, 11808?\n\"Answer: o**3 + 234*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j**2 + 1. Suppose -5*a - 25 = -5*n, -15 = a - 3*n + 7*n. Let v = 8 + a. What is the tens digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 17*w**2 - 52*w + 7. Let h(n) = 5*n**2 - 17*n + 2. Let d(p) = -7*h(p) + 2*q(p). Let y be d(15). Factor 3\/7*s**2 + y + 3\/7*s.\nAnswer: 3*s*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i + 0*i - 3*i)*(0 + 6 + 4)*(4*i - i - 11*i**2 - 475*i**3 + 474*i**3) - 3 + 3 - 2*i**4 in the form h*i + n*i**2 + m + u*i**3 + o*i**4 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*h**3*k*u**3 - 57592385*h**2*u**3 + 2*h*u + 16887*k*u**3 - 9*k*u - 447*k wrt h.\nAnswer: -78*h*k*u**3 - 115184770*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1062814 or -1062764?\nAnswer: -1062764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-61 + (27 - -47)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2))\/(-2 - -4). Let y(w) be the second derivative of 1\/6*w**4 + 0 + x*w**3 + 1\/10*w**5 + 0*w**2 + 2*w. What is the third derivative of y(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 + 3*p - 10. Let z be j(-6). Suppose -2*w - 5*r + 58 = -z*r, -111 = -5*w - r. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 439 - 27*a + 0*a - 197. Let u be h(9). Is u less than 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 103\/(-7) + 4\/(-14). Find the common denominator of 137\/12 and 0 - 1 - (-55)\/o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/787 and 45\/3737?\nAnswer: 2941019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27517, -30439, -33361, -36283, -39205, -42127?\n\"Answer: -2922*z - 24595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 28159?\nAnswer: -2534.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417753*a**6 + 13*a**5*v**3 - 3*a**2*v - 5*a*v**3 + 44735*a*v wrt a.\nAnswer: -50130360*a**3 + 780*a**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 77 (b) 0.5 (c) 2700 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + w = -28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -348 - 1177. Is s a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + b + 10 = 0, 3*b - 7*b - 23 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.1 + 6.1. What is the closest to 0 in u, -0.1, -4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 3*p**3 - p**3)*(8*p + 29*p - 10*p)*(-2 + 3 - 3).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21275.93 - 0.6832?\nAnswer: 21275.2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -15. Let t = 55 - s. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -824, -825, -826, -827, -828, -829?\n\"Answer: -i - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1206*a + 412. Let g(z) = -2412*z + 833. Let q(k) = 3*g(k) - 5*x(k). What is the derivative of q(u) wrt u?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 - 2*o - 2. Let k(d) = -d**3 + 7*d**2 - 5*d - 4. Give -3*k(p) + 7*n(p).\nAnswer: -4*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 62438?\nAnswer: -97\/62438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 361*n**2. Let k(d) = d**2. Calculate p(k(z)).\nAnswer: 361*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r - r + (-6 + 13 - 5)*(-3*r + 2*r + 0*r) + 12*r - 4*r + r - 1 + 1 - 2*r + (2*r - 3*r + 3*r)*(-6 + 2 + 3).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6423, -26267, -59341, -105645, -165179, -237943?\n\"Answer: -6615*u**2 + u + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from tggttttg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71194694*x**4 - 70434305*x**2 wrt x.\nAnswer: 1708672656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.53 + 0.53. Let o = 0.05 - 0.11. Let v = o + 0.36. What is the third biggest value in a, v, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0*f**4 + 0 - f**4 + (-15*f**3 + 10*f**3 + 8*f**3)*(2*f + 2*f - f)*(0 + 3 - 1).\nAnswer: 17*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -2*y + 9, -4*y + 3*j + 3 = 0. Let l be -1 - y - (-5)\/(-3). What is the second biggest value in l, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -3\/5 (c) -2\/9 (d) 9710\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30176917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 0*g + 4*g**4 - g + 19*g**5 + 4*g**2 - 11*g**3 - 20*g**5.\nAnswer: -g*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 822 + -482. Let r = s - 343. Let i = 0.1 - 0.1. Which is the nearest to i? (a) r (b) -0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 3*t - 1. Let g be (15\/20)\/((-1)\/(-4)). Let j be p(g). Is 1\/32 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*k**3*n**3 - 92*k**3*n**2 - 6*k**2*n - 23*k**2 + 56*k*n**3 - 7*k*n - 2 wrt k.\nAnswer: -492*n**3 - 552*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.710613 - 16?\nAnswer: -19.710613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*q - q. Let t = -4 + 9. Suppose 7*u + 2*k = q*u + 30, -t*k = u + 6. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2\/15 (c) 9794 (d) 2\/9 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 17 + 1. Suppose -36 + t = -5*x. Let 14\/11*h**3 - 4\/11*h + 6\/11*h**x + 0 - 6\/11*h**2 - 10\/11*h**5 = 0. Calculate h.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 1260?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -57. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/((-6)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 40*z**2 - 18*z - 3. Suppose -6*t - 299 = -269. Is x(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4)*y)\/((y\/y**(-5))\/y)*y**(2\/3)*y\/(y*y*(y*y**(-5)*y)\/y) assuming y is positive.\nAnswer: y**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**3 - m**2 + m - 1. Give p(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n + 1. Let s(z) = -83*z**4 - 5*z**3 + 3*z**2 + 5*z - 25. Let a(b) = -s(b) - 5*x(b). Find the third derivative of a(f) wrt f.\nAnswer: 1992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-3)\/3)\/(-1))\/(3\/57). Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -14*j**2 + 32*j + 5. Let i(d) = -12*d**2 + 31*d + 3. Give 6*i(a) - 5*q(a).\nAnswer: -2*a**2 + 26*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6*c - 104 = 0. Let s(i) = 2*i**2 - 25*i + 2. Let z be s(c). Factor 22*m**2 + m**4 + 9*m + 9 + z*m + 8*m**3 + 7*m - 7*m.\nAnswer: (m + 1)**2*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447706398 less than 12.732?\nAnswer: -1447706385.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14110404 divided by 61084\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*n - 1 = 3, -44 = 5*k - n. Is k less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 225, 451, 677, 903?\n\"Answer: 226*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = -u. Let q be 5 + (0 - (u + 2)). Suppose -q*m = 3*x - 6, 2*m - 8 - 4 = 2*x. Solve -b = -m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*n = -412*n + 24. Suppose 14*r = n*r + 59944. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2.40447, 1\/4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8631409 and 425115?\nAnswer: 3149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 3*t**2 + 3*t - 3. Let y(j) = -j**2 + j - 1. Let w(h) = -d(h) + 3*y(h). Let x be w(-6). Are -6\/5 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:23 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*o - 1232*o = 391*o - 20616 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 323.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 13, 12, -3, -38, -99, -192, -323?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 + 3*h**2 - 744*h. Let r be d(24). Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.83 - -83.33. What is the nearest to -0.59 in -5, x, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - q - 2 + 4)*(17 - 17 + 21*q) to i*q + d*q**2 + a and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196817*v + 1 + 0 - 1.\nAnswer: -1196817*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 27*u + 94. Let i(o) = 25*o + 60. Calculate -3*i(j) + 2*w(j).\nAnswer: -21*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 8:49 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 23*d**2 + 506*d + 2799. Determine y(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530250, -1060498, -1590746?\nAnswer: -2120994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 1. Let c be x(6). Let n = c + -15. Calculate the remainder when n is divided by (-240)\/45*(-9)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -87.0000141. What is g rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)\/(b**1*b*b)*((b*b**(-2\/3)*b)\/b)\/(b**6\/b) assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43628 and 20696?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -351759498 + 146*v + 351759498 to a*v + y and give a.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2\/2 - 22. Let p(d) be the third derivative of 19*d**4\/24 + 3*d**2. Calculate m(p(z)).\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 40 = -5*b, 5*b - m + 0 = 15. Let c(y) = y**2 + 3*y - 6. Let z be c(b). What is the greatest common factor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g - 66. Let a be c(7). What is the highest common factor of 162 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = 5*y + 3*z, 0 = 2*y - z - 107 - 202. What is the greatest common factor of 713 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1028601 or -1028603?\nAnswer: -1028603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 3.7. Let n = s - 0.8. Which is the smallest value? (a) 5\/6 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 1. Let y be k(-2). Let r = y + 80. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3 = -4*d + 1, -4*d - 5*t + 7 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 51?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rwqrqqrq.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = 75. What are the prime factors of 140 - (4\/(-6) - 49\/b)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjsixs. What is prob of picking 1 s and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 23. Let q be y(14). Let f(p) be the first derivative of p**2\/2 - p + 262. What is f(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17141*p**4*r**3 + 75*p**4*r**2 - 8*p**2*r**3 + 9*p*r**3 - 176 wrt p.\nAnswer: -411384*p*r**3 + 1800*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*m + 52, -88 = -4*m + 2*r - 4*r. Suppose -2*z + 0*k = -4*k - 58, 16 = -4*k. Calculate the highest common factor of z and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/3070056 and 25\/895433.\nAnswer: 21490392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 2*f + 4. Let x be t(-4). Let a be 2\/(32\/x - (-4)\/(-10)). Suppose 5*j + 2*o - 5*o - 2 = 0, 0 = -j - o + 2. Is j at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48.182 + -0.318. Let k = f - -48.3. What is the closest to -0.7 in 2\/5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 - 6 + 1 + (-2 + 0 + 3)*(-2*m - 3*m + 6*m))*(2*m + m - m).\nAnswer: 6*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320227 - 320455.899. Let w = -229 - i. Let h = w - -0.151. Which is the second biggest value? (a) 0.1 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.2. Let c = -0.7 - -0.4. What is the biggest value in -3, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 24, 100, 212, 360, 544, 764?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3278547 divided by -6\nAnswer: -1092849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3180)\/25)\/(2\/10). Suppose 114 - 10575 = 17*p + 334. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 13 = i + 7*o, -4*i - 4*o = -28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10033120 (base 5) to base 7\nAnswer: 453301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from ohhhohhhhhhhohhhhhho.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 67) + -7 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 2*j + 3. Suppose 7*f - 8*f = -6. Let w be f\/2 - 0\/2. What is n(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344905927.\nAnswer: 53, 547, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755497723.\nAnswer: 71, 2333, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*z - 6, 648*z - 651*z - 4*a + 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 + 375. Is m a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 4 = 0. Let m be l*((-6 - -3) + 4). Is 1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 5 (c) -0.065 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:16 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 + 145. Which is bigger: -19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkidddxdikikkdkkki. Give prob of sequence dik.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -489, -499, -513, -531?\n\"Answer: -2*k**2 - 4*k - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 3*o**2 - 4*o + 11. Let j be m(6). Suppose -j*r + 83*r + 7032 = 0. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -40. Let j(n) = 2*n**3 + n**2 - 2*n + 1. Let q be j(x). List the prime factors of 3 - (q + (-56 - 3)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*q + 2, -5*a + 5*q - 2*q = -3. Suppose a = -2*m + m + 4. Suppose -2485 = -y - m*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5)*p*p)**46*(p*p**(-15))\/(p\/(p*p*p**(-1\/15))) assuming p is positive.\nAnswer: p**(1598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k + 5. Let i be h(-2). Let d be 1\/1*-1 - -4. Let v = 58 + -58. Solve v = -d*u + 2 + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(51)\/sqrt(3) + (sqrt(68))**2*6.\nAnswer: sqrt(17) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -16 + (0 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3 + sqrt(15)\/sqrt(3)*-2))**2 - ((sqrt(120)\/sqrt(3))\/sqrt(8) - (0 + (sqrt(5) - 2*sqrt(5) - sqrt(5))))**2*-6)*-4.\nAnswer: -1544 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmrv when four letters picked without replacement from {h: 5, r: 1, m: 1, v: 3, q: 4}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18867474535*q - 5*q**3 + 9433737267*q + 9433737268*q.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1.5, 169962?\nAnswer: 169962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059754 is divided by 1011?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147 in 70, -1.8, -4\/13, 2\/11?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/2807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*p - 8947 + 8335 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13643866?\nAnswer: 2, 6821933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033768 < 1033764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 686504 and 29848?\nAnswer: 686504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 131*m + 3937 = -10*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 26575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501894.\nAnswer: 2, 3, 11, 97, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - (-2 + -3)) + -81 + 89.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -404?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1\/7, 1, 5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 - 38415*i + 38418. Determine b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 4*b**2 + 2*b - 7. Let x = 11 - 16. What are the prime factors of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13292 - 0.4?\nAnswer: 13291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7927*a**2 - 3394*a**2 - 4279*a**2 - 9076*a**2 + 5534*a**2 as s + l*a**2 + j*a and give l.\nAnswer: -19142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28590287 times -0.05\nAnswer: 1429514.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-9\/2)\/p)\/p)*p)\/p**(-2\/51)*(p**(-2\/9)\/p)**(1\/6))**31 assuming p is positive.\nAnswer: p**(118606\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 500*b**2 - 9365*b + 9860.\nAnswer: 5*(b - 116)*(b - 1)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -763 + 745. Suppose 11*u = 13*u + 36. Is n bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f + 197 = 0, 3*r - 213 = -13*f + 10*f. Suppose o + r = 5*y + 12, -3*o = -y + 25. Solve -11*n + y*n - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9*(-5)\/675)\/(16\/(-6) + 4). Let y be 3\/(-9) - 2\/3. Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15806 - -15811. Solve -3 = 2*z + 4*a + 13, a = -x*z - 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -23, -16, -7, 4, 17, 32?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/950 and (-675156)\/(-84360) + (32\/(-10))\/(66\/165)?\nAnswer: 35150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, -4, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 0.1 (c) 7\/9 (d) -1\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:49 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 398 (base 15) to base 6\nAnswer: 3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 t when three letters picked without replacement from {k: 5, t: 2, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/133 + (-2 - (-67)\/28). Let k = 4 - 3.7. Which is the closest to 1? (a) v (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 22*x**2 + 10*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:50 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-60)*(-18)\/(-27)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 87 = -39. Let h = -24 - i. What is the remainder when 50\/(-175) - 1098\/(-21) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*s**2 + 0*s - 3\/5 + 0*s**3 - 3\/5*s**4.\nAnswer: -3*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 28 = -5. Suppose -4*g = -51 + o. Calculate the remainder when g is divided by 19\/3 - 6\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*t - 25 = 0, 56*b - 21 = 59*b - 15*t for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -2\/13 (d) -22 (e) -1 (f) -36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let h(z) = -51*z + 1. Let s(p) = -18*d(p) - 2*h(p). Is 9 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-690)\/1656*16\/3)\/((-1)\/3). Let x = 1051\/129 + 8\/43. Factor -5*m**3 + x*m**2 - g + 20\/3*m.\nAnswer: -5*(m - 2)*(m + 1)*(3*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752700 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804712 is divided by 350578.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.13 - -9. Let g = -0.97 + n. What is g rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6))**6\/((v*v\/v**10)\/(v\/(v\/(v\/v**3)))))**(-1\/33) assuming v is positive.\nAnswer: v**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2 + 3*r + 6. Let m(j) = -7*j**2 + 4*j + 7. Let a(h) = -5*i(h) + 4*m(h). List the prime factors of a(13).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 * -0.08.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2203221 - 32?\nAnswer: -2203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/12 + 5*n**3\/6 - 7*n**2\/2 - 4*n. Let i be z(-6). List the prime factors of 0\/i + 144\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 13. Let m be n(9). Suppose -2 = m*j - 5*j. What is the third derivative of 7*h**j - 8*h**6 + 8*h**6 - 6*h**6 wrt h?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/20 - 2\/(-8). Let x be (-256)\/(-44) + t\/22. Let s(f) = -f**2 + 3*f + 8. Determine s(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 820*p**3 + 10*p - 10. What is the hundreds digit of l(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13161\/5 != -2632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a**2 - 3)*(4*a + 0*a - 3*a)*(-1 + 1 + 2).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**2 - 8*w + 6*w + 2*w - 53 + 0 to j + h*w + i*w**2 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 10 + (322\/23 - 21). Solve -a + 3*o = 4*a + 2, -14 = g*a - 5*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r**(-4)\/r))**28 assuming r is positive.\nAnswer: r**364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2396 - -1854. Which is smaller: d or -541?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7566913 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 0*c**5 + 2*c**5 + (4*c**4 - 25*c**3 + 25*c**3)*(-3 - 2*c + 3) + 2*c**3 - 2*c**3 + 2*c**5.\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 3:10 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**5\/5 - o**4 + 2*o**3\/3 + 12. Factor u(w).\nAnswer: 2*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0 + 0*x**4 + 17\/120*x**6 - 4*x**2 + 3\/20*x**5 + 0*x**3 + 0*x. What is the third derivative of j(y) wrt y?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720, 1340, 1960, 2580, 3200, 3820?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4 - 4)*(-62*r - 51 + 51).\nAnswer: 62*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115261 + -60381. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**4 - g**3 - g**2 + g + 4. Let r(j) = j**4 + 1. Let k(f) = -4*r(f) + x(f). Determine z, given that k(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1547358 times -1.2?\nAnswer: 0.18568296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/6 - 3*r**3 + 2*r**2 + 116*r\/3 + 48 = 0. Calculate r.\nAnswer: -18, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 114, 391, 936, 1839, 3190, 5079, 7596?\n\"Answer: 15*k**3 - k**2 - 3*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 1. Let u = 68 + -73. Let k = u + o. Solve -30 = 4*r - 2*p, -k*r - 3*p = r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 16*l + 14. Determine y(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-1*sqrt(384) - sqrt(6)))\/(1*sqrt(648)*6).\nAnswer: -sqrt(3)\/486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -5*q**3\/6 + q + 10. Let d(u) be the first derivative of -7*u**3 - 310. What is d(f(i))?\nAnswer: -525*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + (-296)\/(-40) + (-288)\/(-180). Let 0 - 1\/3*y**f - 2\/3*y = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -332569\nAnswer: -665138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17213*n*u**2 + 476*n + 12666411*u**2 + 27 wrt n?\nAnswer: 17213*u**2 + 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 14*l = 0. Is 4 a factor of (-2)\/(-6) - (l - (-442)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*j + 12*j**2 + 8*j**2 - 18*j**2 - 4 as o*j**2 + a*j + q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 + 6*h + 2. Suppose 89 - 71 = -9*g. Give w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -1. Let u = -0.010026 + 9.006326. Let i = g - u. Round i to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**3 - 8*s**2 - 11*s + 3. Let j(y) = -4*y - 2*y**3 + y**3 + 1 + 4*y**3 - 3*y**2. Calculate 11*j(m) - 4*n(m).\nAnswer: m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 1 + 3*r**3 - 3*r**3 - 9*r**3 + 6*r**3 + 349*r**2.\nAnswer: -r**3 + 349*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5029 + 2476 = 0. Let l = c - 819. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 - x - 12. Calculate the lowest common multiple of a(6) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8543 - 76889\/9. Let c = 20 - 31. Let h = c + 16. Put -3, h, -0.5, g in ascending order.\nAnswer: -3, -0.5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -0*h - 3*h - 5*l, h + 3*l - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 979, 1485, 2009, 2557, 3135, 3749?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 27 + 53. Suppose -q + 2*q = u. Let z = 36 - q. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 365.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/(-405)*-5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-3\/4)\/q)\/q)\/q)**(-5\/7))**(-5\/4) assuming q is positive.\nAnswer: q**(-375\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -5*s - 3*c + c, -48 = 2*s - 4*c. Let p(m) = -6 - 1 + 2 - 3*m**2. Let n(z) = -16*z**2 - 28. Determine s*p(t) + 5*n(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 18*j**2 - 17*j + 2. Let d = 12 - 29. Let y be g(d). Suppose 9*a - 4*a + 4*m = 8, -m + y = -a. Solve 0*n - 2*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p = -90. Let g be (-6)\/(-4) - p\/(-30). Solve -20 = 5*i, -2*i - 2 + 3 = g*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112297 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:19 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679061, -1358153, -2037245, -2716337, -3395429?\nAnswer: -4074521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 13*s**2 + 16*s - 27. Let h be l(14). Let x(z) = -17*z + 1. Calculate x(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l - 3*l**3 - 2 + 2*l**3 - 17*l to j + p*l**2 + r*l + c*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let y be (-1)\/((-14)\/(4\/i)). Which is the biggest value? (a) -2 (b) y (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 5*a - 389. Let x = -173 + a. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -163136, -326260, -489384?\n\"Answer: -163124*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539.7376 litres to millilitres.\nAnswer: 539737.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-12) - ((-8 - -4) + (-165)\/(-22)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/9))**(1\/2))**(-6\/13)\/((((p*p**(-6))\/p)\/(p\/(p**(2\/3)*p)))\/(p**(2\/7)\/p**(-1\/5))) assuming p is positive.\nAnswer: p**(7558\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1980 and (7 + 456\/(-56))\/((-132)\/(-798)*-3).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 - 7 = 0. Calculate the remainder when 28 + (-1)\/(h\/(-12)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/40 + 5*z**3\/3 + 23*z**2. Let j(n) be the first derivative of w(n). Let a be -5 + (0 - 2\/(-2)). Calculate j(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lmalnnl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25449\/(-499) + (31 - -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*k = -k - 94600. What is the greatest common factor of k and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, -5, -1\/33 in decreasing order.\nAnswer: 3, 0, -1\/33, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73446080 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7*6*6\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/4379 and -23\/302.\nAnswer: 8758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/24651 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - v - 1, v = -5*l + 4*v. Solve 5*g + 17 = -l*u, 0*g - 15 = 3*g + 3*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.2, 33\/5, -7.92?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/63 - 2\/63. Which is the closest to w? (a) -0.1 (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3609 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/9202698 and -89\/12.\nAnswer: 18405396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:59 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t - 5*d + 10, 5*t - 10 = 4*d. Let y(v) = -v - 2. Let u(s) = 4 - 3*s + 3 - 14. What is t*u(c) - 7*y(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = z + 18, -3*z + 3*c + 18 = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/20 + 22*r**2. Let k(s) = 3*s. What is k(w(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -3 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*h - 167*h - 27*h**3 + 60*h - 2 + 0 - 10*h**2 + 51*h to b*h + f*h**3 + d + z*h**2 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/25 - 6\/(-45). Let c(f) be the third derivative of 0*f + f**2 + 0 + 1\/24*f**4 + u*f**3. Differentiate c(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 196262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707740241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27898*i**2 + 20662 + 27896*i**2 + 5677 + 31*i.\nAnswer: -2*i**2 + 31*i + 26339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 divided by -4?\nAnswer: -1203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -2 - 6*n - 3*n**2 + 1\/3*n**3. What are the prime factors of f(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11))**(-1\/47)\/(t**6\/(t\/(t\/((t\/(t\/((t*t*t*t\/((t\/(((t\/(t**11*t)*t)\/t)\/t))\/t))\/t)))\/t*t)))) assuming t is positive.\nAnswer: t**(-7753\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - -2) + 1 - (4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12005485?\nAnswer: 5, 17, 141241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130951829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 5. Let a(m) = 2*m - 3. Let l(v) = -5*a(v) - 3*k(v). Let y(b) be the third derivative of -b**4\/24 - b**2. What is y(l(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 337689.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917481698 to the power of 1\/3, to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, r: 3, o: 2}. Give prob of picking 1 r and 2 n.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 + 255 = 10*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*s - 8, -2*j - s + 7 = -0*s. Let f be 31 + -2 + j + 1. Let q = f - 18. Solve q = -2*k - 2*o, -2*k + 3 = -4*o - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c + 3. Let i be d(2). Let u = -2\/7 + 17\/35. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/22)*f*f)\/f)\/(f\/(f*f\/f**(1\/13)*f*f)*f))**15 assuming f is positive.\nAnswer: f**(11955\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*q - 4 + 3, -2*j = q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872, 877, 892, 923, 976, 1057, 1172?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**3 - 38*y**2 + 11. Let u(q) = -3*q**3 + 12*q**2 - 4. Give 4*n(t) + 11*u(t).\nAnswer: 7*t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:38 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119410304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/24)\/((225\/(-12))\/(-15)). Suppose -4*p + 8 = -8*p. Which is the closest to q? (a) 1\/3 (b) 5 (c) p (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 208078 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/16595064 and 167\/84.\nAnswer: 116165448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*q*s + 8*b**3*q + 9*b**3*s + 2*b**2*q*s + 6*b**2*q - 4*b**2*s - 3*b*q*s wrt b?\nAnswer: -6*q*s + 48*q + 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 20. Is v less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 - 5 - 3*w**2 + 2*w**3 + 2*w**2 - 2249*w + 2250*w to the form s*w + v*w**4 + x + b*w**3 + o*w**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 3*q - 4. Let h = -25 + 19. Let z(p) = -5 + 5 + 4*p**2 - 5 - 4*p - 5*p**2. Let n(l) = h*z(l) + 7*u(l). What is n(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 1445*p - 1441*p + 15, 3*p + 3*q = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o + 4. Let n be d(6). Suppose -6*v - 3 = -3*v. Let h be 70\/(-8) + v\/n. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 42. What is the units digit of g*113\/(-6)*(13 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114672 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:48 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.71, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/121 and 16\/1221?\nAnswer: 13431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1334, 4, -4428.\nAnswer: -4428, -1334, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, -1\/28, 1\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1380 = -4*r, -1389 = -5*f + 3*f - r. Suppose -3*l + 1032 + f = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0)\/((-1)\/(-11)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let b(n) = 2*n - 1 - n - n**3 - x*n**2 + 0. List the prime factors of b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 1, v: 4}. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.3 (b) -0.08 (c) 4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -4 + 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 2*n**2 - 4*n + 2. Let j be a(-4). Let g(l) be the first derivative of -l**2\/2 - 4*l - 1. What is the remainder when g(j) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32207, 129906, 292833, 521066, 814683, 1173762, 1598381, 2088618?\n\"Answer: 13*d**3 + 32536*d**2 - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 5. Suppose t = -3*t + 2*u + 258, -2*t + 133 = -5*u. Suppose -7*q + t - 15 = 0. What is o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nnnnnmmnnnmnnnnmmn?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 14688.\nAnswer: -1\/7344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 11435 = -5*b + 25*i, -4556 = -2*b + 2*i. What are the prime factors of b?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -76. Let x = 5 - l. Solve y + 5 = -2*m - 0*y, 4*m + 4*y + x = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + z - 292 = -3*z - 412, 0 = 3*g + 3*z - 120 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**3 - 5*x + 7. What is the first derivative of k(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from jjjjtuttujutjtjuj.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1781 - -3471. Suppose 520 = -13*h + i. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/((-2)\/(-4)). Is (38\/(-8))\/(1\/r) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 4*d - 58. Calculate c(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 1, m: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 156.384081ms?\nAnswer: 0.0000018100009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + 12 - (9 + 8)) + (1 - -10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0 + 1\/6*b**3 - 1\/2*b**2 - b. Let r be t(4). Solve 6 = -3*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assrgfm. What is prob of sequence agr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -532141 + -5?\nAnswer: -532150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**3 + 33*v**3 + 31*v**3 - 64*v + v**2 - 92*v**3 - 3*v**2 - v**4 as i*v + x*v**2 + b*v**4 + q*v**3 + k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m - 2*u + 1, -5*m - 4*u - 1 = 0. Let d = 7 - 4. Let o(p) = 1 + 0 - 2*p + d*p. Let a(v) = v**2 + 3*v + 3. Determine m*a(y) + 3*o(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59141745 a multiple of 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2352*r - 345744.\nAnswer: -4*(r + 294)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061733199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6) + 77\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 88*u**2 + 33*u + 67. What are the prime factors of t(42)?\nAnswer: 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 - 8*m - 2. Let q be z(4). Let t be ((-24)\/(-36))\/(q\/12 - 1). Which is the nearest to -1? (a) 5 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 10. Let x(a) = -a**2 + 5*a + 79. Let b be x(12). Let r(p) = 1. Give b*r(l) + m(l).\nAnswer: 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23744, -23423, -23126, -22865, -22652?\n\"Answer: -2*n**3 + 335*n - 24077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33750690, -135002770, -303756238, -540011094?\n\"Answer: -33750694*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 1, e: 2, h: 4, n: 2}. What is prob of picking 1 n, 1 p, and 2 e?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2. Let s be x(1). Suppose -2*t - 3*t = s. Is t greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 - 111 - 75) + 17.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 90*o - 5409. Determine n(-128).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -820, -1849, -3290?\nAnswer: -5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150994 is divided by 50244?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4)\/b*b)\/b*b*b*(b\/(b**12*b)*b)\/b*b assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 873441 divided by -747?\nAnswer: -97049\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*t - 75*t - 132*t)*(4*t - t + 0*t)*(1 - 6 + 1).\nAnswer: 1728*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2500) - -6*2*sqrt(2500) - sqrt(2500))\/((sqrt(5) - sqrt(80))*-1 + (sqrt(10)\/sqrt(2) - sqrt(5))*6).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5162 is divided by 113?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 0*r**4 + 2*r**4)*(-6 + 2 + 5)*(-4 - 1 + 3).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/(1\/7). Let k(i) = -i**3 - 6*i**2 + 3*i - 8. Let y be k(l). Solve 5*b = y, 0 = -h - 6*b + b + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.2 in 13370, -3\/2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9745189?\nAnswer: 29, 336041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 15*n**2 + 0*n + 2*n. Calculate the remainder when 55 is divided by x(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, -48\/7, -2\/11, 40, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1575072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 53 = 24*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 24 (c) -1 (d) -4 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 18 = q, 4*p - 24 + 0 = 4*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281046 + 293144 = -263*w for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27326?\nAnswer: 2, 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g\/(g**(-6)\/g)*g))\/g*g)*g**(2\/9)*g*g**2*g**(6\/11) assuming g is positive.\nAnswer: g**(1264\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:00 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 3. Let c(j) be the first derivative of -5*j**2\/2 + 4*j - 2. Let h(r) = 3*c(r) + 4*d(r). Let o(p) = -3*p. Determine o(h(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-5112870)\/(-195) + 32\/208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 2. Let m be y(3). Suppose m*u - 10*u + 30 = 0. Calculate the remainder when 29 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)*i*i**(-7))\/((i**(-10)\/i)\/(i**(-3)*i)))**(7\/2) assuming i is positive.\nAnswer: i**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 222698835, 5 in descending order.\nAnswer: 222698835, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-3))\/((-2)\/(-6)). Suppose g = -6*i + 2*i. Does 12 divide 1*(2 + i) + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 11. Let o(h) = -9*h**2 + 2. Let f(p) = 2 + 18*p**2 - 9*p**2 - 3*p**2 - 1 - 11*p**2. Give r*f(k) - 6*o(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11411*b**5 + 14688*b?\nAnswer: 228220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55391\/180 + -2752\/9. Calculate the common denominator of d and 17\/(-8) + (-6)\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/9*3*-9 - ((-71732)\/(-227) - 309)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*b + 391 - 100 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {y: 5, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = -18. Let k(a) be the third derivative of 1\/3*a**3 + 1\/12*a**5 + 0*a + 1\/120*a**6 - 2 - 5\/24*a**4 + 32*a**2. Determine k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -12594 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.350849 - 4.35. What is c rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 75.67, -0.1, 1\/3, 4\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-2 + 2 + u)*(-563 + 893 - 2093) in the form t*u + l and give t.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733539529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 6*w - 13. Let r(h) = -2*h**2 + 11*h + 28. Let v(n) = -7*d(n) - 4*r(n). Let p be v(6). Sort 4, -5, p, 26 in increasing order.\nAnswer: -5, p, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y**2 + 5*y**2 - 9*y**2)*(8 - 319 - 28 - 30 - 330).\nAnswer: 10485*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 b when three letters picked without replacement from gigzbipiplzipbiipzg?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 - 325340328*w**3 - 8820527743935954*w**2 - 17641054511850936*w - 8820527093255307 = 0. What is w?\nAnswer: -54223387, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -27601739 (c) -6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from ggjgjgjgggrjjffgjgjj?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 4*d)*(-1540*d + 17*d**2 + 1540*d - 2) to the form j + u*d**2 + l*d**3 + y*d and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 13*f**4\/12 - f**3\/3 - f**2 - 20. What is the tens digit of j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 137062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4 + 874372*y**3 + 8743172*y**2 - 32350180*y + 22732632 = 0.\nAnswer: -218583, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 7. Let f be m(7). Let n = f - 15. Is 2 - n*(-75)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14135.64824 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 28*m - 144. Let k be 5 - (-104)\/m - (-58)\/3. Solve -4*o - k = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*-26*44\/(-2574)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1543*p**3 + 3*p**2 + 3*p. Let w(v) = -54002*v**3 - 104*v**2 - 104*v. Determine 3*w(y) + 104*z(y).\nAnswer: -1534*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**3 + 1\/120*y**5 + 2*y**2 - 7\/720*y**6 + 0*y**4 + 0*y + 0. Factor z(b).\nAnswer: -b**2*(7*b - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 43 + 22)*(u + 0*u - 2*u).\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74790\/(-216))\/277 - (-297)\/4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1512)\/(-16))\/21*178\/(-3). Let d = h + 279. What is the remainder when (263 - -2)*(-6)\/(-15) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 3 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1550740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 2*t + 1. What is h(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 1}. What is prob of picking 1 l and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -4*m**3\/3 + 3*m**2 - 5. Let f(o) be the first derivative of o**2\/2 - 106. What is f(b(d))?\nAnswer: -4*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1110?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14599732?\nAnswer: 2, 7, 227, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvcvcvvcvccv. What is prob of picking 2 c and 1 v?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12311519158 + -1484?\nAnswer: 12311517674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*d - 34 = -5*p, -p + d - 36 = -4*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(1\/252). Let h = k - 71. Let t = 1 + h. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 18*a. Let c(q) = q**2 - 19. Let g be c(0). Let w = g - -27. Does 16 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -79103\nAnswer: -4\/79103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*i - 6*g - 348, 3*i + g - 261 = 0. Calculate the remainder when i is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 g when three letters picked without replacement from {n: 4, g: 2, y: 2, v: 1, b: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*c**2 - 3*c**2 + 14*c**2)*(4 - 5 + 4) to the form o*c + k*c**2 + x and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60167*y = 60242*y - 375 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 11*t**2 + t - 15. Let z be d(11). Let c(v) = 7*v**3 + 2*v**2 + 5*v + 6. Let y be c(z). Let p = -293 - y. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 79 - 91. Let z(h) be the second derivative of -h**5\/10 - h**4\/4 - h**3\/6 + h**2\/2 - h. Let x be z(-2). Solve t*y = -x - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85\/28 + 16\/7. Let j = 0.3579 - 0.0189. Let w = 0.039 - j. Put s, -5, w in increasing order.\nAnswer: -5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2046, -2049, -2052, -2055?\n\"Answer: -3*z - 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, e: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3377 + -2?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4399.7 to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -33, -4, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22875 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -73414 - -1501088843?\nAnswer: 1501015429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from dssddsdssd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (36\/108 + -2 + (-204)\/(-90))\/1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -902*f**2*h**2 + 7070*f*h**3 + 3*h**3 - 3*h + 7301731 wrt f?\nAnswer: -1804*f*h**2 + 7070*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.9 - -89. Suppose h + 72 = 19. Let t = -48 - h. What is the nearest to a in t, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umuu when four letters picked without replacement from {u: 8, m: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -9 - (1 + -3 + -1)) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - -1*0\/(2 - 5). Solve -2*k - k + x = 5*q, -3*q = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {k: 4, j: 2, o: 2, n: 2, m: 1, i: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*z**2 - 20846*z\/3 + 17996\/3.\nAnswer: 2*(9*z - 409)*(25*z - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162*s**3 + s + 748?\nAnswer: -486*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -91 + -1?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a millimeter in micrometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(q - q - 2*q)*((5*q**3 + 0*q**3 - 3*q**3)*(2 - 2 + 2) - 37*q**3 - 36*q**3 + 81*q**3).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00232437 rounded to 5 dps?\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-60))\/((-3)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1700)\/(-53550)*9\/(-3)*1\/1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -47*k**2 - 203*k + 11. What is f(-4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1508*h**3*y + 38*h**3 + 2*h*y + 17*y - 1014 wrt h.\nAnswer: 9048*h*y + 228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2*sqrt(208) + sqrt(208) - sqrt(208)) + 0)*-1 + 5)*-1*4.\nAnswer: -32*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94122290 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 192 - 8 = -70*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9137240 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 51 - 53 = 2*d, -4*d = 2*v + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/20160 - d**7\/5040 + d**6\/45 - d**5\/60 + d**2. Let p(u) be the third derivative of l(u). List the prime factors of p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1452229 minus -1165999?\nAnswer: 1165999.1452229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81516 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3)*30\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-1)**2 - 4*sqrt(26)\/sqrt(2).\nAnswer: -4*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-33) - (-4)\/(-22). Find the third derivative of -2*s**p + 11*s**4 + 2*s**5 - s**2 - 11*s**4 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-54)\/(-15)*700\/6?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 - 540*t**3\/7 + 2750*t**2\/7.\nAnswer: -2*t**2*(t - 5)*(t + 275)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-7)\/(-21)). Let u = 129 - 135.4. Let r = -6.3 - u. What is the third smallest value in 5, r, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 6. Suppose 2*u - 3 = -1. Let i = 270 + -275. Let x(v) = v - 1. Determine i*x(l) + u*n(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -142218 (base 9) in base 4?\nAnswer: -111032102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2497 - 2482. Calculate the least common multiple of u and 88.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8774123 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/(-21)*(0 + 113 + 1). Is (-4)\/6*p + -3 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/18 + 3 + -4 + 31\/9. Which is the closest to t? (a) 5\/3 (b) 4 (c) 210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18191447\/9 + 1\/9*g**4 - 788\/9*g**3 + 68906\/3*g**2 - 17983940\/9*g = 0. What is g?\nAnswer: -1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffalflavfalallla. What is prob of picking 1 l and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*o + 148 - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 358 - 358. Put -2, 2, -50, c in descending order.\nAnswer: 2, c, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -628181?\nAnswer: 628170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3872, -4097, -4310, -4505, -4676, -4817, -4922, -4985?\nAnswer: -5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4940 - -255?\nAnswer: -46a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992608.2 centuries to decades.\nAnswer: 9926082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011011001111110 (base 2) to base 4.\nAnswer: 203121332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*p + 18 - 20, -3*u - 4*p = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 188*v**2 + 2800*v + 4864.\nAnswer: 2*(v + 2)*(v + 16)*(v + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1473 rounded to 3 decimal places?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:48 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*c + 7 = 4, 3*d = -2*c + 5. Let t = 34 + d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3795*l - 1717*l + 130*l - 360*l to the form u + p*l and give p.\nAnswer: -5742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 at most 156484\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -278, -1108, -2754, -5486?\nAnswer: -9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {y: 8, a: 2, u: 2, j: 1, v: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -31*d + 66, 4*x + 4*x + 46 = 3*x + 11*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3818 - -3817.94. Which is the second biggest value? (a) u (b) 92 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15691*x - 300 = -15703*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3959914*h - 6065652 with respect to h.\nAnswer: -3959914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 2)*(3 - 3*a - 3).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1953)\/558)\/((-1)\/(-4))*2\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -393, 0, 1, 44 in decreasing order.\nAnswer: 44, 3, 1, 0, -5, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -56, 4, 1\/7, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 0, 83, 7, -3 in ascending order.\nAnswer: -7, -3, 0, 4, 7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:57 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.09 + 0.09. Let k = 8.869 + 1.131. Let z = 6.9 - 7. What is the biggest value in k, v, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + k = 6*k - 1, n - 5*k + 3 = 0. Let y(p) = -p**2 - 6*p - 3. Let t be y(-5). Find the first derivative of 6 - 4 + t*j**2 + 0*j**2 + 0*j**n wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008407?\nAnswer: 13, 503, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 31*q + 77. Let i(n) = 495*n + 1236. Let u(z) = -4*i(z) + 66*k(z). Does 30 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 - 40*t - 1368 = 0. What is t?\nAnswer: -18, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 + 0.13. Let h = l - 1.91. Let m = 9.8 - 10. What is the closest to -2\/7 in 0.4, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 2*g**5 + g**5 + 6*g**5 + (-3*g**2 + 7*g - 7*g)*(1 - 1 + 2*g**3)*(4 + 4 - 5).\nAnswer: -13*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(119) + sqrt(119)*-1) - sqrt(119) - (-2*-5*sqrt(119) - sqrt(119)))\/((2*sqrt(448) + (sqrt(7) + sqrt(70)\/(sqrt(30)\/sqrt(3)) - sqrt(7)))*2).\nAnswer: -5*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 29. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31061254 + -2?\nAnswer: 31061252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 9554?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 + 2*g - 1. Let h be u(-6). Let r be 2\/(-3)*(3 + 7 + h). Sort 1, r, 5.\nAnswer: 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37576086 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 3*j - 78. Suppose -5*h = -5*r - 1690, -9*r = -2*h - j*r + 677. What are the prime factors of h?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -181\/12. Let a(d) be the second derivative of 3\/10*d**5 + 0 + 0*d**2 + 3*d + p*d**4 + 0*d**3. Find the third derivative of a(r) wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20*2*5. Let d(n) be the third derivative of 5*n**4\/24 + n**3\/2 - 82*n**2. Let h(q) = -4*q - 2. Determine l*h(p) - 3*d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -93, -187, -309, -465, -661, -903, -1197?\n\"Answer: -d**3 - 5*d**2 - 50*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**8\/336 - b**7\/84 + b**6\/72 - 13*b**3\/6 + b**2. Let q(d) be the first derivative of s(d). Factor q(n).\nAnswer: 5*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323373?\nAnswer: 3, 107791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (47\/(-9) + (-4)\/(-18))*-5. Let z be 1 - -16 - (n - 28). Suppose -2 = a - 6. What is the greatest common divisor of a and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f = 120*f + 612 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2053 - 2?\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 4*u + 5*u + 0*u - 4*u + 2*u + u + 2*u - 4*u + (u - 4*u + 4*u)*(-1 - 1 + 4) + 2*u + 0*u - u - 7 + 7 - 9*u as m*u + n and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 15?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34, -0.0515, -0.4, 0.8?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Let t be (-9)\/w*(-2 - 0). Let o(u) = -5*u**3 + u**2 - 9*u - 8. Let p(d) = -d**3 - 2*d - 2. What is t*p(n) + 2*o(n)?\nAnswer: -n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -2*s**4\/3 - s**3\/2 + 445*s**2\/2 - 2*s + 176. What is the derivative of p(k) wrt k?\nAnswer: -16*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.36 + 7.06. Put -1\/2, -11, 3, u in decreasing order.\nAnswer: 3, u, -1\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1298, -2202, -3708, -5816, -8526, -11838, -15752?\nAnswer: -20268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*c, -3*c - 2*c + 8 = z. Let m be (-10 - -10)*(1 + z). Differentiate m*x + 3*x + 1 - 3 - 9*x with respect to x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2888 and -25\/1444.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 931625983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960.3106 rounded to the nearest 10?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcasctr. What is prob of picking 1 a, 1 s, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-3)\/(-1) - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108668.7 and -7.8.\nAnswer: -847615.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(605))**2.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.43 (b) -515 (c) -3760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 0*u**5 - u**5 - 2*u**2 + (3 - 3 - u**4)*(2*u + 3*u - 2*u).\nAnswer: -5*u**5 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + -1*(sqrt(77) - 1*sqrt(77)))) + sqrt(77))\/(4*(sqrt(112) - sqrt(7))))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzf when three letters picked without replacement from {l: 4, z: 2, j: 4, b: 6, f: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/11)*f**11 assuming f is positive.\nAnswer: f**(131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 - 2*s - 2. Let r(i) = i**3 + 7*i**2 + i + 4. Let j be r(-7). Let d be j - (-37 - (-1 - -2)). Suppose 0 = -4*v + d - 11. Calculate x(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 2.56094\nAnswer: 0.0256094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*-5*sqrt(76))\/(sqrt(28)\/sqrt(1008)) + 0.\nAnswer: -3 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-4))\/j*j**(-4\/3)*j**(-1\/3)\/j**1*((j**(2\/7)\/j)\/(j*j**1*j))\/((j\/(j\/(j**(-5\/2)*j)))\/j**2) assuming j is positive.\nAnswer: j**(-247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290249 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 18*l**2 - 45 - 7*l + 18 + 27.\nAnswer: 18*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7))**(-14)\/((t\/(t**(4\/7)*t))\/t**(-3\/8)))**24 assuming t is positive.\nAnswer: t**(705\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 6 - 2)*(-9)\/(-135). Which is the second smallest value? (a) 240 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131085\/13 + -10091. Let d = f - -993\/130. Find y, given that 0 + d*y**3 + 1\/10*y + 1\/5*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100111110111 (base 2) to base 13\nAnswer: -14c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27)\/(-9) + 30\/1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1212?\nAnswer: -1212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5*m + 8. Let q be i(4). Let y be q + (0 - (-3 + 4)). Find the third derivative of 8*f**2 - 10*f**6 + 45*f**3 - 45*f**y wrt f.\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 23. Suppose -94 = -c*p + 3*y - 5*y, 5*p = 5*y + 125. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + b + 7*b**2. Let y(h) = 2*h**2 - 2*h**2 + 3*h**2 - h**2. Determine y(s(i)).\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.1599 hours to milliseconds.\nAnswer: 2635775640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98304 and 91392?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108369\/52 + -24840\/13. Which is smaller: 173 or r?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -6, 5, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:04 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*n + 106*n = 254*n + 15235 + 20579 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 11*j + 60. Let f be n(13). Differentiate -23*t**4 - 178 - 3 + f + 51*t**4 + t**3 wrt t.\nAnswer: 112*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 - -343. Suppose -4*u = 4*j - j - n, -4*j = -u - 260. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 25. Suppose s*d = -6 + 71. Suppose 2*h - 38 = h. Calculate the remainder when h is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 140074768*u\/9 - 2452617578781728\/9.\nAnswer: -2*(u - 35018692)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-12\/5))**(-37))**(-1\/13) assuming t is positive.\nAnswer: t**(-259\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2)\/(sqrt(40)\/(sqrt(50)\/sqrt(5))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 43*m\/8 - 15\/8.\nAnswer: -(m - 5)*(8*m - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 898870060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5)*625\/(-1125))\/(6\/(-9))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 18 + 18. Solve 0 = -u*w - 2*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 6*n - 6. Let a be s(10). Let k be 6\/5*(-115)\/a. Let i(v) = -v**3 - 3*v - 7. Let t(m) = -2*m**3 - 5*m - 13. Give k*t(d) - 5*i(d).\nAnswer: -d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 + 196 = 5*d. Let g = 63 + d. Suppose g*j - 6 = 0, 5*j = 3*y + j - 79. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312224254.53982696137 + -145495.86017201863. Let z = l - -312369747. Let n = z + 3.4. What is n rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 v when four letters picked without replacement from {u: 3, v: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 2 = -10*i, -y + i = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-1 + 0*1\/(-4)). Let z = 20 + -18. Suppose o + 1 = z, 49 = 2*m + w*o. Calculate the highest common factor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 7 (c) 853 (d) -1012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185018, 370124, 555230, 740336, 925442, 1110548?\n\"Answer: 185106*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*x**2 - 2085114*p**3 - p**2*x + 11*p**2 - p*x**2 + 1778*p*x wrt p?\nAnswer: -6*x**2 - 12510684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 339079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993349.3 hours in days?\nAnswer: 124722.8875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64.999729 - 65. Round d to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/7)\/((-7)\/49). Let b(j) = 14*j + 205. Let k be b(-15). Sort 4, k, -2, o in decreasing order.\nAnswer: o, 4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + 98*n**2 + 42*n - 145. What is the lowest common multiple of 3 and a(33)?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d + 2*d - 255078. Find the third derivative of -53*u**3 - 59*u**2 + d - 14171 wrt u.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-24)*42\/4. Let m(g) = -g**3 - 3*g + g + 2*g**2 + y*g - 2*g. Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*132\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -3, -0.2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*b - 330004 = 0, x = 2*x + 4*b - 66004. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2110, -8716, -19758, -35260, -55246?\n\"Answer: -4*r**3 - 2194*r**2 + 4*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118467 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2369275, -2369280, -2369285, -2369290?\n\"Answer: -5*k - 2369270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17491?\nAnswer: 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2493 - 2482.07. Let o = u + -11. Let j = -0.17 - o. Which is the nearest to j? (a) -3 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 61. Let s(t) = 712*t + 5010. Let m be s(-7). Give o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q**2 + 68*q**2 + 54*q**3 - 55*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 2722\nAnswer: -96\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -80. Solve -5*g + 6 + 14 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49534142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.25 + -1.35. What is x rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -206. Suppose u*k - 6*k = -2*d + 254, 0 = -3*d - 5*k + 425. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 1, k: 5}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or -1652472?\nAnswer: -1652472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**6 + 730316*l**4 - 49*l**3 - 533*l**2 + 949569?\nAnswer: -480*l**3 + 17527584*l - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/5)*h)\/h**1 assuming h is positive.\nAnswer: h**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261\/147656 or 1?\nAnswer: 261\/147656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 4 + (0 + 0 - 1)*(-1 - 1 + 4) + 0 - 5 + 3)*(q - 8*q - 4*q) + 3*q + 2*q - 4*q.\nAnswer: -43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h**2 + 4*h + 5. Suppose 22 = 4*b + 2. Let f be i(b). Solve -3*a = -3 - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -794\/7, 3, -1, 43, 0.1, -0.4 in decreasing order.\nAnswer: 43, 3, 0.1, -0.4, -1, -794\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10353 = 78*x - 49*x. What is the lowest common multiple of 42 and x?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 6 + 19. Suppose 0 = -5*z + x + 25, -5*z = -5*x - r - 40. Suppose z*c - 29 = 27. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 819, 1712, 2683, 3732?\n\"Answer: 39*r**2 + 776*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(400) - sqrt(16))\/(-3*sqrt(128)) + 4.\nAnswer: 11*sqrt(2)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-760)\/(-1050) + 2\/15 - 53629040\/(-70). Round a to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/2*(-3)\/(-6). Let d = -12 + k. What is the third derivative of -4*w**2 + w**2 + w**2 - 2*w**d wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 800 by -10.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(51) + (sqrt(51)*2 + sqrt(51) - sqrt(51))))\/(sqrt(6)\/sqrt(2)*3))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 129. Let s(t) = t**3 - 2*t**2. Calculate s(n) + x(n).\nAnswer: n**3 - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtv when three letters picked without replacement from {v: 5, i: 3, w: 2, f: 5, t: 5}.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269479.\nAnswer: 7, 137, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:13 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 12094004.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*w**2 - 101*w**2 - 106*w**2 - 98*w**2 + 531*w**2 - 135*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 3, -4, -3, 4, 5 in increasing order.\nAnswer: -72, -4, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7257372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/23)*b**(-18))\/((b*b*b\/(b*(b**(-11)\/b)\/b)*b)\/b*b*b\/b**(1\/47)))**(-17\/4) assuming b is positive.\nAnswer: b**(320603\/2162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) 2\/17 (d) 1\/57 (e) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/28 and -25\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307244512 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 44*z**2 - 94*z + 94*z as a*z + l*z**2 + f and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 24 = -4*l, -3*i = -4*l + 9*l - 7. Solve y = 3*p + 7 + i, 0 = -4*y - 4*p - 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 25. Let w = 53 - 50. Suppose -8 - 4 = -3*s + 4*r, r + w = -5*s. Sort 1, 2, b, s.\nAnswer: b, s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2\/5 - 733*v\/5 - 183\/5 = 0.\nAnswer: -183, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/5 - 5*z**2\/2 - 4*z. What is the first derivative of o(k) wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 17427230 and 13.\nAnswer: 17427243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 27*j**2 - j + 35. Calculate w(-27).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 23205.\nAnswer: 46410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530 - -525. Which is the nearest to -1\/4? (a) -2 (b) 6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 11*a**2 + 12*a. Does 7 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:33 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3150*v**2 + 3750*v**2 - 526*v**2 - 615*v**2.\nAnswer: 5759*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x**2 + 9*x. Let d be q(-4). Suppose -300 = -5*y - m + 2*m, d = 5*y + 4*m. Let r be 1\/(-3) - (-440)\/y. Is r <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -0.5\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835708 is divided by 10071?\nAnswer: 9886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14685*z**2 - 356*z + 178. Let l(u) = 979*u**2 + 24*u - 12. Determine 6*d(j) + 89*l(j).\nAnswer: -979*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 13*h - 127 - 11 = -5, a - 3*h - 31 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4 (c) -2\/15 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a4 + -7?\nAnswer: -7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**7\/840 - v**6\/180 + v**5\/8 + v**4\/12 - 9*v**3 + 29. Let t(l) be the third derivative of x(l). Does 14 divide t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15353630.\nAnswer: 2, 5, 1535363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m**2 + m + 1. Let j be l(-1). Suppose 2*h = a + 180, -59*h - 344 = -63*h - 2*a. What is the greatest common divisor of h and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 18 = -23*g. Suppose 0*z + 4*n - 6 = -z, 0 = -2*z + g*n - 10. Let r(u) = -5*u + 0 - 3 - 4*u**2 + 5*u**2 + 2*u. Determine r(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022112 - 111?\nAnswer: 10022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 1, o: 2, w: 1, m: 1, p: 1}. What is prob of picking 1 m, 1 g, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 + 15 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/(-44) + (-4)\/(-22). Let p = t + 1. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v**3 - 351*v**2 - 129*v + 459.\nAnswer: 3*(v - 17)*(v - 1)*(7*v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 118\/8 - (6\/(-24))\/1. Suppose t*w - 21*w = 5364000. What is w rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose -2*v = n*v - 10. Find the second derivative of -2*g + 4*g**v - 3*g**3 + 6*g**3 - 4*g**2 wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.03 - 2.02998987. What is q rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*h**2 + 73*h - 43*h**2 + 5*h**2 + 20*h**2 wrt h.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 + 155 = 5*j, s + 3*j = -26. Let a = -23 - -83. Let v = a + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1063 - 25*p**3 - 1057 - 388*p**2 + 25*p**3 - 1030*p**5 wrt p?\nAnswer: -61800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 r when three letters picked without replacement from zzzrx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79492 and 26720.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50314)\/(-605)*-5 - 4\/22. Let z = f - -833\/2. What is the closest to -1\/4 in 7, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + f - 2. Let p = 28 + -24. Let a be o(p). Solve -1 - a = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((4 - 1)*(-2)\/57198) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141e (base 16) to base 7\nAnswer: -413040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 33*x**5\/10 + x**4\/24 - 25*x**3\/2 - 244*x**2. What is the first derivative of b(o) wrt o?\nAnswer: 396*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 571, 217, -763, -2681, -5849, -10579, -17183?\n\"Answer: -52*l**3 - l**2 + 13*l + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 873, -2 in increasing order.\nAnswer: -20, -2, 4, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 (base 10) in base 6?\nAnswer: -2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(40)\/(sqrt(32)\/sqrt(4)*-1 - sqrt(8)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33719118 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: What is the nearest to -30.8 in -1, 0.7, 5, 42, 2, 288?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6688*x**2 + 5*x + 32. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/4*2\/6. Let l = 5\/21 - 2\/21. What is the nearest to l in 2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x + 75. Let y = x + -14. Suppose g + y = -4*i, g + 0*g = 1. Sort -5, i, 1.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = 4*h, h = -3*b - b - 12. Suppose -3*n - 4*i + 728 = h, -i = -2*n + 6*n - 962. Calculate the highest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10592, 12439, 15516, 19823?\n\"Answer: 615*c**2 + 2*c + 9975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let p(l) = 328*l + 86036. Calculate p(j(b)).\nAnswer: -656*b + 86036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 294 = -32*s + 31*s, 4*s - 8 = 0. Which is bigger: n or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000570744 rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36421\/12 - 3031. Suppose 87 = 3*u - 0*u. Find the common denominator of o and u\/((-2 - 0) + 12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 88*h - 6 = -87*h, v + 3*h = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u - 3*p - 241, 0 = -3*u - 5*p + 188. Suppose -k + 29 = k - g, -3*g = -4*k + u. Let n be (-27)\/45 + k\/5. Solve -n*x + 8 + 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 3. Let w be z(-1). Let j(u) = 13*u + w - 12*u + 10. List the prime factors of j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**10\/k*k)\/k)\/k)\/k**0)**(-6\/5))**(-2\/33) assuming k is positive.\nAnswer: k**(32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1579 + -1125. Let x = z - 178. Is x a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2448) + 0) + 2 + (4*-1*sqrt(2448) + 4)**2 + -5.\nAnswer: -444*sqrt(17) + 39181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let z(b) = -13*b**3 + 4*b**2. Let o(v) = -38*v - 118. Let c be o(-3). Calculate c*i(y) - z(y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -172, -227, -272, -307, -332?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/60 + u**4\/4 + 5*u**3\/3 - 5*u**2. Let r be k(7). Solve 0 = -l - 0*l - r, 2*n - l = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166774 = 34*v + 22580. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 - 1\/12*w**4 + 7\/6*w**3 - 4*w**2 + w. Suppose -8 = -g - 5*y + 3, -g - y = -7. What is s(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2709.13 - -2709. Which is the second biggest value? (a) x (b) -1\/4 (c) -5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33245990, 33245991, 33245992, 33245993?\nAnswer: 33245994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o - 1. Let g be t(-1). Let f(d) = -d - 5. Let c be f(g). Put c, -2\/3, -4 in descending order.\nAnswer: c, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*m + 125 - 6 + 41 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 1*(sqrt(128) + 2*sqrt(128)))**2 - ((sqrt(128)*-2 + 0)*-2 + 4).\nAnswer: 928*sqrt(2) + 4704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -3680, -12482, -29650, -57974?\nAnswer: -100244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36586000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11736 + 5039. What are the prime factors of p?\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 11 = 65. Do n and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from llllblbbllbbl?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -283, -531, -797, -1087?\n\"Answer: -g**3 - 229*g + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147940034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyyxyx. Give prob of sequence xyxc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*h**3 + 2*h**2 + 394?\nAnswer: 162*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66 - -8891.7432?\nAnswer: 8890.0832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 22 + 24 + 8*r - 21 + 14*r**2 - 12*r**3. Is h(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 12, 22802 in descending order.\nAnswer: 22802, 19, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18 = -4*o, 3*n + 13 = 3*o + 5*n. Let b(l) = -4*l - 4. Let y be 12\/(-28) - (-22)\/(-14). Let t be b(y). Sort o, t, -4.\nAnswer: -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d + 131. What is the hundreds digit of z(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 + 9 = 0. Let s = o - 7. Let t(i) = -2*i**2 - 2*i + 2. Let j(x) = 2*x**2 + 3*x - 2. Determine s*t(c) + 2*j(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -74302977 rounded to the nearest ten thousand?\nAnswer: -74300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 108\/6*8\/(-24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 24. Let v = q + -1. Solve g = -0*g - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -633 + 321 - 5*m**2 + 312 - 19*m to the form g*m**2 + v + h*m and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1357857*x**3 + 5*x**2 - 27300031*x wrt x?\nAnswer: -8147142*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 40851.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3 - 22. Let b(j) = -15*j**2. Calculate t(b(k)).\nAnswer: -675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o)\/(o\/((o*o\/(o**(-2\/25)\/o*o)*o)\/o)) assuming o is positive.\nAnswer: o**(-323\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from {j: 2, i: 2, c: 4, n: 8}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 4*g + 1. Let b be -3*1 - (-19 + 6). Suppose -2*v + 14 = -4*u, 3*v - 7*v - u + b = 0. What is the units digit of k(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 1. Let v(f) = -96*f + 4. What is v(o) - 6*z(o)?\nAnswer: -66*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 130 = -35*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + x + 1. What is j(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 3:21 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -13*n + 6146. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:08 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 4403?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 926100 to the nearest 10000.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -45. Suppose 0 = 3*n - g*f - 16, 5*n + 2*f + 0*f = 68. Does 11 divide (1 - n)\/(12\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 477 + -476.96848. Round o to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/8 - 48871*t**2\/8 - 268609*t - 5908067\/2.\nAnswer: -(t + 22)**2*(t + 48827)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177117.\nAnswer: 3, 43, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-361009)\/(-1221) + -299 + (356\/(-15))\/(-4).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11485*f - 11500*f + h - 252 = 0, 3*f = -5*h - 66 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*g + 8, 43 = 308*g - 313*g - 2*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 2, y: 5}. Give prob of picking 1 b and 2 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51275800 rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 65?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 248, -0.3, 409?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/7)*h**(3\/5))\/(h*h**(-1)*h*h)**(13\/6))**(2\/69) assuming h is positive.\nAnswer: h**(-424\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 7*y**2 + 5. Let q be r(7). Find the first derivative of 28*w + 30*w - 55*w - q wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -6) + (0 - 2) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 737*q**4\/2 + 73*q**3 - q**2\/2 + 862. Find the third derivative of c(f) wrt f.\nAnswer: 8844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3200 is divided by 302.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -556, -1247, -2214, -3457, -4976?\nAnswer: -6771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 111*l - 653. Calculate w(42).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 45. Let o = m - 1. Let f = 30 + o. Which is the third smallest value? (a) 1\/3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 620144?\nAnswer: -620144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l*l\/(l*l*l**(-1\/2)\/l*l))))*l)\/l*l\/l**(-7\/10) assuming l is positive.\nAnswer: l**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let t be i(-1). Suppose 0 = t*d - 207 - 133. Suppose 2*c - d = -3*c. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(2*l + l - l) + (0 + 1 - 2)*(-1 + 1 - 2*l)*(-l + 7*l - 13*l) + 11 - 11 + 5*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 29 + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70347 or 61?\nAnswer: -70347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 385807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25873, -51735, -77599, -103465, -129333, -155203, -181075?\nAnswer: -206949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18910 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26195 and 0.1601?\nAnswer: 4193.8195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*h + 4, -3*h + 3*r - 24 = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26052498 a multiple of 841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*z + 0 - 4 = 0, 5*a + 4 = 4*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 + 3. Let i be w(4). Suppose -i*z = z - 5*y - 21, 3 = -3*y. What is the first derivative of -3 - 3 - z - 5*a wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 34*f**2 - 65*f + 60. Let v be k(-32). What is the greatest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 8*q**4 - 2*q**4 + (3*q**2 - 6*q**2 + 2*q**2)*(0*q**2 + q**2 - 3*q**2) - 2*q**4 + 5*q**4 - 2*q**4 - 18*q**3 + 18*q**3 + 7*q**4.\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2\/2 - 7*l - 3. Let x(y) = 1. Determine -r(k) - 6*x(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48256 and 3212794?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6745162 to the nearest integer?\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 2)\/((-75)\/(-10)). Which is the biggest value? (a) t (b) 3\/14 (c) -1\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83903 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w - 327*w + 179*w + (2 - 2 + 3*w)*(-1 + 0 + 0).\nAnswer: -135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**2 - 2*p**3 + 3\/8*p**4 + 61 + 0*p - 1\/60*p**5. Give g(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109878543 + 4?\nAnswer: 3.890121457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000197 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 11*z - 6. Give g(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*r - 4*r + 142, 2*r - 86 = 3*b. Let p be ((-2900)\/b)\/((-4)\/42000). Round p to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.7041 millennia to decades.\nAnswer: 58570.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*l - 27379 = -492 + 41181 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*p**2 - 125*p**2 - 824*p**2 + (3*p - 2*p - 2*p + (-1 + 3 - 4)*(-4*p + p + p))*(-3*p - p + 3*p) in the form o*p + q + x*p**2 and give x.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 - 268. Let r(s) = s**3 + 17*s**2 + 18*s + 5. Let w be r(h). Is 185 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9132 + -9054. What is the greatest common factor of z and 5148?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*2)\/(sqrt(2) - sqrt(14)\/sqrt(7)*-2).\nAnswer: 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-6 - sqrt(14)*2*1)\/(1*sqrt(288)*-1).\nAnswer: 13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 13*n - 10. Let l be v(-12). Suppose 5*d = l*d + 3. Suppose 2 = a - d. Sort 6, a, -3 in descending order.\nAnswer: 6, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 103 in increasing order.\nAnswer: -3, -2, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 814479928 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 6, i: 5}. What is prob of sequence ai?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53731 is divided by 26730?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*g. Suppose -3*u - u - 7 = g*j, -4*u + 5*j = -1. Let h = -2 - -1.7. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -0.005\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -101, -123, -165, -233, -333?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -1010000000101011?\nAnswer: -1010000000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -583 not equal to 20277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332076 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*o**2 - 54*o + 2704 - 2704 wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -0. What is the greatest common divisor of 202 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + (15 - 1))\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697864398 divided by -6.\nAnswer: 116310733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (117\/78*(-8 - (6 + -6)) - 1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -231, -200, -157, -102?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 75124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*r + 407*r - 240*r + 15686 = 0 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqkqqqkqq. Give prob of sequence kqq.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25396377781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 63.2. Let n = -11.089 + q. What is n rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/250 and -21*(-70)\/56*4\/(-50)?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let i = 2\/59 - 181\/118. What is the biggest value in 0.2, x, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/(-35))\/(2\/14). Let l(t) = 2*t**2 + 14*t + 2. Let w(k) = -4*k**2 - 28*k - 3. Let g(f) = -7*l(f) - 3*w(f). Let j be g(i). Solve 4*o = 3 - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158782.4 rounded to the nearest one hundred?\nAnswer: -158800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 7*t - 2. Determine z(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + -10 + -8 + (0 - (-14 - 8 - -9))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.167767 and 1.\nAnswer: 0.832233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*g = 212*g - 14, 4*o - g - 6 = -12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265083*r - 1095021?\nAnswer: -265083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {d: 5, g: 1, h: 8, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9861 + -1.031. What is o rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxssxxxxsxj. Give prob of picking 1 s and 1 x.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -5, -6, -7, -8?\n\"Answer: -h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/38 and 21\/17.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 17*j + 21. Let i be k(16). Suppose z + i*d + 1 - 7 = 0, -5*z = 2*d + 16. Let f(h) = -2*h**2 - 10*h - 2. What is f(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbulruylerl. What is prob of picking 1 r and 1 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 2 + 64. Suppose r + 3*i = -3 + f, -5*i = -10. Let w be 2 - r - -2 - 0. Solve w = -2*u - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804 = -2*v + 6*v. Suppose 5*a = -54 - v. List the prime factors of 12\/(-42) + a\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((1875\/156)\/125).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/6 + 17*z**4\/6 - 4681*z**3\/6 - 4697*z**2\/6 = 0. What is z?\nAnswer: -77, -1, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0081 * 1114545\nAnswer: -9027.8145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 2691.\nAnswer: -242.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 1.51, -3\/2, 4, -0.17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1751374615.48 and 0.3.\nAnswer: -1751374615.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 2. Let w be ((-1)\/3)\/((-2)\/24). Let q(z) = -z. Give w*q(i) + a(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -44. Suppose r*i = 13*i - 39. Calculate the remainder when 49 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 110. Let c be (3\/12)\/(-1) + (-2)\/(-8). Suppose 7*p + 4 - 18 = c. Solve 4*m + 0 + 4 = g, -p*g + 2*m = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, u: 13}. What is prob of sequence uuuu?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:43 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 7*c - 5. Let i be r(-5). Let k = i - 0. What is the second derivative of -k*y + 5*y - y**2 + 4*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, -2, -8 in increasing order.\nAnswer: -8, -2, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155343, -155344, -155345, -155346?\nAnswer: -155347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 8)\/(1\/(-5)). Suppose 3*j = 0, -22 = -4*y + v*j + 74. Suppose -4*w + 12 = -0*w. What is the greatest common divisor of w and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1865*72\/(-7080) - 19.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 8 + 19. Let s = 0 - l. Calculate the greatest common divisor of 99 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - ((sqrt(1872) - (-1 + sqrt(1872) + sqrt(1872)))*1 - sqrt(1872))) + sqrt(1872) + -5)**2 + (1*(sqrt(1872) + 0))**2*5.\nAnswer: -576*sqrt(13) + 39348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214095104*p + 2*p**2 + 0*p**2 + 214095104*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-201)*1122\/44?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.08, 1\/5, 1416, -7, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.04 - 1.04. Which is the third biggest value? (a) -0.1 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 5*c + 39. Determine n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phhu when four letters picked without replacement from havhnupavnvp?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80153?\nAnswer: 80153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let u = 1 + r. Let i = -1.5 + u. Which is the third biggest value? (a) i (b) 0 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/21 + 451\/(-231)*-2. Solve -y*n = 4*k + 12, 4*k = -3*n - 12 - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24 - 25)\/(14\/(-24)) + -2. What is the nearest to u in 17, -5, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -1.94. Let g = l - 1. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926 at least 6882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10051010*b**2. Let c(s) = -17*s. Determine d(c(g)).\nAnswer: 2904741890*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1335 and 4788?\nAnswer: 2130660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592325 is divided by 197437?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59576?\nAnswer: 2, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.96 + -105.04. Which is smaller: -12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let k = -6 - -3. Which is the closest to g? (a) k (b) 2\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*k - 156. Let w = k + 46. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.82 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1542932411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g - 2. Let l(n) = 2*n - 4. Let u be l(3). Let j be f(u). Suppose j = -0*y - 5*y + 745. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 - -70731?\nAnswer: 70526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + g + 3)*(-g**2 - g**2 + g**2) + (-5*g**2 - 12*g + 12*g)*(-14*g + 0*g + 89*g).\nAnswer: -376*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 1)*(-2)\/4. Suppose -3*g + 5*o - 6 = -0*g, -3 = -w*g + o. Suppose g*s = -2*s + 15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13674 + 273403\/20. Suppose 4*t - 3*t = -1. Find the common denominator of y and t*(0 - 130\/28).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(175) + -1) + -2)**2 + -4 + -3 + (sqrt(1008)*1)**2)*-2.\nAnswer: -5154 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 116 = -58 + 114 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 254, -8, 2, -30 in decreasing order.\nAnswer: 254, 8, 2, 0, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -73. Suppose 5*h = -0*h + f + 67, -z = -3*h - 3*f. What is the remainder when 16 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4352*y**4 + 491*y**4 + 3573*y**4 + (-2 + 2*y**2 + 2)*(2*y**2 - 3*y + 3*y) - 1 - y**4 + 1 - 1 - y**4 + 1.\nAnswer: 8418*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 7:44 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -15, 26, 95, 198, 341, 530, 771?\n\"Answer: g**3 + 5*g**2 - 3*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/21)\/(1*12\/(-84)*8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 122515487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097 less than 0.088?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 778.6105.\nAnswer: 779.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843481663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -21. Suppose -j = 4*d - 10. What is the lowest common multiple of d and (-9)\/3 - (0 - 27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/429 and -11\/60.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*i - 149. Calculate the highest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9368920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 47*d - 31. What is the hundreds digit of i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 79*w**2 + 1560*w + 265. Give l(-42).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let x(r) = -r**2 - r - 1. Let v(c) = 4*c**2 + c + 1. Let k be 8\/7 + 1\/(-7). Let q(p) = k*x(p) + v(p). What is n(q(y))?\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366.36 - 359. Let l = 7 - x. Let d = -0.04 + l. Which is the second smallest value? (a) d (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 15*k**4\/4 - 7*k**3\/3 + 5*k**2 - 19*k + 179. Let z be c(2). Which is smaller: z or 95?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = 2*v, -2*g - g + 17 = 5*v. Let n(m) = -2*m - 1 + v*m + 1. Let x(f) = 4 - 2*f**2 - 4. Calculate n(x(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 798689972 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 655 - 467. Suppose 0 = -5*j - 53 + x. Calculate the highest common divisor of j and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, y: 2, l: 1, p: 1, v: 1}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnddnndnn. Give prob of picking 3 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0*x**2 + 0 + 7\/60*x**6 + 0*x**3 - 49\/40*x**5 - 1\/336*x**7 + 0*x**4 - 39*x. Let i(r) = 0. Calculate r.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109810 and 61620.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 2*h**2 + 1566*h + 1595*h.\nAnswer: 2*h**2 + 3161*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.2842l in millilitres?\nAnswer: 286284.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24958 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {w: 1, s: 1, m: 1, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25976*j**5 + 4*j**3 - 148521*j**2?\nAnswer: 1558560*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2817 - 580. Suppose -r = -5*i + 33. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/(-6))\/7)\/((-10)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(5*10\/15). Which is the second biggest value? (a) -4 (b) 1 (c) 18 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205996 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-112) + -3)*(-6)\/9.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3) + (-119)\/(-15))\/((-2508)\/(-6270))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4323296464 a multiple of 6892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 2, -1\/87?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 33 = 12*g + 76*n - 75*n, 3*g = 7*g + 4*n + 36 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(325))**2 + 0.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 34*f - 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22983 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37660 + -164?\nAnswer: -37804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 - 18*f**2 + 24*f - 103. Determine u(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, j: 4}. What is prob of sequence jj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -970 + 975. Solve -3*p + 5*t = s, t = p - 4*p + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1748516 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -2\/11, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(1 - -1). Suppose -971 = -p + 3*d, -4*p - 4*d + 1313 + 2571 = z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*b + 9, 3*s = -2*s + 25. Suppose 3*y - 2*u = 65, b*y - 2*u - 86 = u. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/27 and 133\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a - 2*a + 5*x, -3 = 3*a - 4*x. Suppose z - 4*v = -19, -4*z - a*v + 11 = -8. Let b = 12 - z. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3471859*16.\nAnswer: 55549744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8548484 = -5*f, -2*f - 8548481 = 3*f + 3*z. Let o = f + 889698. Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 397\/5 - 79. What is the nearest to j in 0, -3\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 1 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let g(i) = i - 18. Let w(t) = -g(t) + 2*k(t). Let f = 313 + -329. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/d**(14\/3)*(d\/(d*d**(-6\/11)))**(4\/13) assuming d is positive.\nAnswer: d**(-548\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1159 + 49*y**2 - 4*y**3 - 1193 + 6*y - 23*y**2 + 33*y**2. Let i(p) = p**3 - p**2 - p. Let a(g) = -6*i(g) - q(g). Differentiate a(o) wrt o.\nAnswer: -6*o**2 - 106*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330*-13152\nAnswer: 4340160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6160 and 23\/38544.\nAnswer: 1349040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062850 a multiple of 733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -2268021247648?\nAnswer: 2268021247647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 + p - 1. Calculate x(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/5040 + 107*i**5\/60 - 3*i**2 - 16*i. Let k(z) be the third derivative of p(z). Let f(r) = 6*r. Determine k(f(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.987 + 0.107. Let w = y - 0.12. Which is the biggest value? (a) -0.5 (b) 3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-1260)*-5)\/((-1174)\/(-16436))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 4\/7, -47, 4, -7, -23 in ascending order.\nAnswer: -47, -23, -7, 4\/7, 4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/418607 and 26\/7.\nAnswer: 418607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 5. Let v be a(-4). Let x = v + -29. Does 17 divide 12\/27*114 + x\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(3914\/(-1030)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/153 and -25\/53658?\nAnswer: 912186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 71748*p**2 + 7*p - 6. Let r be t(2). Round r to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8)\/4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {x: 1, o: 1, d: 1, q: 1, e: 2, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108600 by -200.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5875 is divided by 1953.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*w + 1037977 - 1931242 - 2327946 = 0. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239014\/106293 + -20\/3221. Find the common denominator of j and 89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2870 and 10990?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 10, d: 2}. What is prob of picking 1 d and 3 k?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 10 - 6 + (3 - 3 + 2)*(-1 + 3 - 4))*(-12*w**2 - 17*w**2 - 4*w**2) - w**2 - w**2 + 6*w**2 in the form m + g*w**2 + d*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -71748*k**2. Let h(r) = -10*r**2. Give d(h(b)).\nAnswer: -7174800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 63*o + 2656. Let i be j(-41). What is the highest common factor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 0 = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2 + -3 + -247 + 256)*(-6)\/33?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-1*((-1030)\/(-75))\/103?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 17*a + 3. What is d(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and 43\/2705?\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 10*w + w in the form f + a*w and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*(29376\/(-54))\/17\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - -8) + -9 + -186 + 43.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1954384 divided by -122149.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:16 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747065821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2\/2 - 4*r - 2. Let a be p(-4). Factor 0*c + a + 2\/3*c**3 - 2\/3*c**2.\nAnswer: 2*c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9788 - -9715. What is the fourth smallest value in 3, -2, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6019 (b) 4\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3\/5 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/((-136)\/(326400\/(-675)))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*o - 6, -5*b - 3*o = 28 - 19 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 100222100 (base 4) to base 5\nAnswer: 4140430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (22 - 24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 11*n = -75. What is the greatest common factor of 75 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27.8. Let m = p - 6.8. Which is the biggest value? (a) 1\/2 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -26.234698.\nAnswer: -31.234698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*t + 2, f + 0 = 3*t - 4. Suppose 3*m = -2*l + 52, 5*m + 116 = t*l - 0*m. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/97287232 and -81\/1347808.\nAnswer: 1070159552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 59*d + 384 = -38*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Let y(c) = -21*c**2 - 7*c - 7. Suppose 12*z - 5*z = 28. Let m(a) = 7*a**2 + 2*a + 2. Let n(u) = z*y(u) + 14*m(u). Give t(n(l)).\nAnswer: -196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb21 (base 15) to base 9.\nAnswer: -64884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162.5 + 162. What is the biggest value in m, -0.4, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 194 + 153 + 2*p)*(p + 2 - 2).\nAnswer: p**2 - 41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqzqqqzqjqzq. What is prob of sequence zqq?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 1. Let g(a) = -4*a**2 + 309*a + 1755. Let w(y) = -g(y) + 3*m(y). Differentiate w(i) with respect to i.\nAnswer: 2*i - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3*y**2 + 9411*b**3*y + 2*b**3 - 2325*b**2*y**2 + 6*b*y**2 + 11*b*y + 3*y**2 wrt y?\nAnswer: 56*b**3 - 4650*b**2 + 12*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 37*m\/2 - 1369\/4.\nAnswer: -(m - 37)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459644 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: Evaluate ((-4)\/((-60)\/9))\/((-99)\/(-135)*3).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*g + 34*g - 90*g**3 + 0 + 0 - 156*g to w + t*g**3 + n*g + b*g**2 and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*m + 45 - 46 = 0, -2*m = 4*c + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - z = 10, 14 + 2 = 2*c + 5*z. Suppose -1207185 + 116840 = -5*q. Suppose -c*k + 141925 = o - q, 4*o - 5*k = 1440010. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319 plus -0.4?\nAnswer: -2319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*-1*sqrt(1872) - sqrt(1872))**2 + sqrt(1872) - (sqrt(1872) + -1*sqrt(1872)*5)**2) + 0.\nAnswer: -28075 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 922 and ((-1)\/2)\/(3\/72*-3) - 0.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12596 greater than or equal to 12597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 0.158798\nAnswer: -0.00952788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9237320 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 4*j - 4*j)*(5 - 1 + 5)*(2212*j**3 - 3511*j**2 + 3511*j**2) in the form o*j**2 + h + t*j**3 + u*j + z*j**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 + 137. Suppose q*y - 4*m + 90 = 4*y, -3*m = 0. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -22, -34, -32, -10?\n\"Answer: o**3 - 2*o**2 - 21*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -2*q + 5*q, -q = 2. Suppose c = -4*u + 11 - 3. Suppose -15*w + 12 = -13*w. Solve -4 - 2 = -g + 4*s, 4*g + u*s - w = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1314 - 400?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0 + 3)*-5. Let s = 4 + v. Let r be (-6)\/s*6\/12. Solve -4*n + 3*o = 1 - 23, r*n + 4*o = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p**4 - 2*p)*(4 + 4 - 2 + 1 - 1 + 1 + (-4 + 6 - 1)*(2 + 0 + 0) + 3 + 1 - 3).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - -1) - (2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 2*w)*(-3 + 0 + 1)*(-173*w**2 - 166*w**2 + 99*w**2).\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -5, -17 in decreasing order.\nAnswer: 60, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*y, 9*j + 529*y - 14 - 13 = 6*j - 4*j + 527*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 - 4*d**2 - 2 - 2*d**3 - 6*d**2 + d. Let f = 18 + -8. Let m be a(f). Solve 3*r + 5*x + 17 = -m, 4*x + 18 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-189)\/4))\/(12\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 4:10 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 - 75578*b**3*h + 121*b*h - 7*b - 359*h wrt b.\nAnswer: -40*b**3 - 453468*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4. Let g be d(0). Suppose 0*o - 60 = -g*o - 3*n, o + 3*n - 6 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 16 - -2 - (-11 - 0 - 6 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -22*c**3 + 3\/2*c**2 - 128*c - 132. Differentiate g(k) wrt k.\nAnswer: -132*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 14) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - g**4 + 2*g**2 + (-807320 + 807320 - 180*g**3)*(-g + 2*g + 0*g).\nAnswer: -181*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150151 + 185315 + 440039 = 987*h + 13448*h for h.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 33*m**2 - 9*m**2 - 36 + 4.\nAnswer: 24*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 20*y - 623. Give b(42).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193128959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:19 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-4)*j*j*j)*j*j\/((j**(8\/5)\/j)\/j))\/(j*j\/j**(-2))**(1\/7))**45 assuming j is positive.\nAnswer: j**(1206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3612, 4, 1\/2, -0.4, 19, 0.1, 3\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*k - 3503, 2*k - 5*u = 389 + 1352. Which is smaller: 2635\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.15 + -1548.4.\nAnswer: -1484.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + 2))**2*-1.\nAnswer: -575 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52763 + -263814\/5. Let n be (6 - 0)*(-2)\/(-6). Factor -3\/5*s + 2 - b*s**n.\nAnswer: -(s - 2)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let a(z) be the third derivative of -17*z**8\/20160 + z**5\/12 - z**4\/3 - 53*z**2. Let q(w) be the third derivative of a(w). Give q(x(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2599 + 2601 - 18*i**4 + 4*i**2)*(-4*i + 2*i + i) + i**5 + 2*i**5 - i**5 + (-4*i**3 + i**3 + 5*i**3)*(-i**2 + 0*i**2 - i**2).\nAnswer: 16*i**5 - 8*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 197 + 145 - x + 3*x - 459 as g*x + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*v**3*z**2 + 2*v**3*z - 22044*v**2*z + 112*z**4 - 6*z**2 wrt z?\nAnswer: 26*v**3 + 1344*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-30)*36\/(-36).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 + 52*u + 34*u**2 - 52*u.\nAnswer: 53*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -488*d + 151*d - 128*d. Let l(x) = 2*x. Determine t(l(u)).\nAnswer: -930*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*t - 0*k, 83*k = -10*t + 14*t - 158 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 8084?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3521.\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*a**2 - 97*a**2 - 74*a**2 - 69*a**2 + 139*a**2 - 79*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/11 + 165142*d**2\/11 + 3408902448*d\/11 - 3409067592\/11 = 0. What is d?\nAnswer: -41286, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - -6.7. Let x = -9 + w. Which is the second biggest value? (a) -0.3 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1442, 4256, 7070, 9884, 12698?\nAnswer: 15512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 - 107. Is 35 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4\/7, 2\/11 in descending order.\nAnswer: 4\/7, 2\/11, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/26*44\/6. Let x = -16 - y. Sort 3, -4, x in decreasing order.\nAnswer: 3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleue. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 13. Suppose 3*v = h*v + 9. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 4. Let a be w(4). Let r be a + 2 - 4\/(-2). What is the first derivative of 3*q**2 + 2 - q**2 - 2*q**2 + 4*q**r wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26676.8138 to the nearest integer.\nAnswer: 26677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-14)\/(-6))*3\/(-66). Is 0 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 43*i + 13. Let b be g(-11). Let j(x) = 3 + x + 6 + b*x + 5*x. Let n(r) = 17*r + 19. What is 13*j(c) - 6*n(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 4. Let g be z(-6). Suppose 0 = 2*r + g, 8*t + 2*r - 13 = 3*t. Suppose 2*x + t*x = 145. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 4. Suppose 0 = -b*k + a + 5, k + 3 = 2*a + 1. Suppose -5*o - 94 = -k*m - 4*o, -2*o + 65 = 3*m. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1722 to the nearest 10.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -347*y**2. Let m(w) = w**2. What is m(s(i))?\nAnswer: 120409*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 46 = 6. Does 17 divide 211 - -5 - (w - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 9765058*z = -9765054*z + 148, 0 = -2*j - 9*z - 333 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + f = 0, -121*f + 124*f - 5 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1048\/18 + 10\/(-45). Let p = -47 + a. Calculate the common denominator of 47\/9 and (0 - 20\/p - -2)*26.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*y - 3*n - 2, -4*y + 18 = -5*n. What is the highest common factor of y and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*-1)\/(-4 + 5). Let y be 0 + (0 - c\/(-2)). Find the common denominator of (y*436\/(-40))\/4 and 49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378022630 divided by 6?\nAnswer: -189011315\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/30 + 10\/75 + (-2740)\/(-15) and 63.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 3.9 (c) -4\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1630a29c - 0?\nAnswer: 1630a29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10740 is divided by 170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 27600*w - 190440000.\nAnswer: -(w + 13800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-147)\/36))\/((-32)\/(-112))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 40 - 2*w**3 - 20*w + 6*w**2 + 22*w)*(0 - 1 + 0)*(-3*w + 3*w - w)*(9 - 9 - 28) to t*w + d + i*w**3 + q*w**2 + l*w**4 and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84624, 84779, 84932, 85083, 85232, 85379, 85524?\nAnswer: 85667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 2*i**2 + 7*i - 12. Let p be w(3). Solve -3*x - 4*s = 26 - 18, p = -5*x - 3*s - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 - 10*z + 5. Let m(y) = 7*y**2 - 6*y + 6. What is -3*m(x) + 4*q(x)?\nAnswer: -x**2 - 22*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbb. What is prob of picking 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 13*m - 2. What is k(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5*o + 11*o**2 + 12*o**2 + 8*o**2 - 31*o**2 + 10*o**2 in the form s + a*o**2 + r*o and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*n**2 + 14*n**4 - 5*n - 106*n**3 + 0*n**2 + 110*n**3 + n + n as p*n**2 + s + q*n**3 + h*n**4 + v*n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79603886*g**3 - 9070052*g**2 wrt g.\nAnswer: -477623316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1135.59 + 1141. Let z = a - 5.9. Let j = z + 0.39. Which is smaller: 3\/16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4.3. Suppose 2*g - 1 = 4*w + 3, -5*w = -4*g + 5. Suppose g = -3*u - n - 3, -2*u + 6 = 5*n - 5. Which is the nearest to 0? (a) u (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*-2*9\/(-3). Calculate the lowest common multiple of (i + 3)\/(-4) + 2 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1640.57 and -1218056.1.\nAnswer: -1219696.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/8 + -3)*11\/3. Find the second derivative of -91*y**3 - h*y**3 - 3359*y + 3305*y wrt y.\nAnswer: -612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/8*o**4 + 0 - 2\/3*o**3 + 0*o + 5\/4*o**5 + 21*o**2. Is t(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1166 + 1167. Let x(b) = 8*b**3 - b**2 - 2*b + 3. Give x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.9 + -11. Let x = y + 0.1. Let h = x + -1.2. Which is the second biggest value? (a) -5 (b) -4\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1705\/3864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - 4*f**2 + 6*f**2 + 1910*f + 2*f**2 + 3*f**3 - 1913*f as a*f**4 + v*f**3 + x*f + l*f**2 + s and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 3252376 = 3253060 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 14926077\nAnswer: -14926089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(288)*1 + 1 + sqrt(2448)*-2.\nAnswer: -143*sqrt(17)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.169 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*s - 170*s - 672. Let o = -93 - s. Which is the fourth biggest value? (a) o (b) -5 (c) 5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*u + u = -9438, -2*u - 3134 = -d. Let v = d - 15762\/5. Let y = 4831\/8 + -603. What is the common denominator of v and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169393341 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**2 + 72*r + 6. What is k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 4*h**2 + 3*h**2)*(3*h**2 - 3*h**2 + h**3) + 0*h**5 + 0*h**5 + 3*h**5 + (h**5 - h**5 - h**5)*(-4 + 4 + 1).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Suppose f*v + 3 = -4*s + 3*v, 2*s - 16 = 2*v. Let o be 1 - 3*s\/9. Solve o = 2*a - r, -1 = r + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66397490 to the nearest integer?\nAnswer: 8148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13909 is divided by 487.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1516 + 1548. Calculate the lowest common multiple of 2 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let t(z) = -6 - z + 6 - 2 - z**2 + 1. Suppose 7*i - 4 = 3*i. What is i*n(l) + t(l)?\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/23877 and 5\/18?\nAnswer: 47754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9248.67076 + 9249. Round f to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2, 1\/4, -7.95, -12.9 in descending order.\nAnswer: 2, 1\/4, 1\/10, -7.95, -12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345560846.\nAnswer: 2, 433, 399031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (-2 - -31)) + 22\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -7 - 1) + (1 - 73). Let k = r + 683. Is k a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 19 = 5*j, 4*m + 2 = -5*j - 15. What is the tens digit of (-26)\/(-4)*(m + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 10*b - 2. What is t(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 4 - -12) + -8. Let d = -0.34 - -0.04. Put i, d, -20 in descending order.\nAnswer: d, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(45)*1 + 5))**2 + 1.\nAnswer: 30*sqrt(5) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 3. Let g(c) = -11. Let l(r) = -5. Let h(s) = -6*g(s) + 14*l(s). What is -4*b(f) + 3*h(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*o = -o - 4, 5*q - 38 = -3*o. What is the second smallest value in 1690, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10558 + -10454. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.8 + 37.1. Let o = l - 17.223. Let n = -0.023 - o. Which is smaller: -3.9 or n?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*n + 3*w, 18*w = -4*n + 23*w + 40. Solve -4*q = -n*h + 2 + 6, h - 2*q = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**2\/2 + 77*w + 37. Is c(-22) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*(-1293)\/(-1724).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3716 - -27668. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -1652, -3921, -7098, -11183?\nAnswer: -16176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -72) + (-125 - -138) + 9 + -17?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8960*b**4 + 2*b + 476 wrt b?\nAnswer: 107520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.31, 464\/21, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (71 - -19)*((-14)\/(-4))\/7. Solve i*u - 21 = 38*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -10) + (-5058)\/18. Which is smaller: -261 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 3680 = 4*i + 13*l, 2*l - 925 = -i. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 25 = 5. Which is the third biggest value? (a) 2\/11 (b) 58 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*-4)\/(sqrt(40)\/sqrt(4)*2 - sqrt(10)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/13 - 4*x**3\/13 + 4*x\/13 - 2\/13 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose -2*f = 2*t + 2*t - 26, 4*t - l = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-16\/5)*w**(-18)\/(((w*w**(2\/11))\/w)\/w))**(-1\/58) assuming w is positive.\nAnswer: w**(1297\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81 - 88 + 210 + 23*a**4 wrt a.\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1002?\nAnswer: 8016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0.1, -8, -10 in decreasing order.\nAnswer: 93, 0.1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-793)\/(-65) - (2 - -9)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 1450454*p\/5.\nAnswer: -p*(p + 1450454)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/6 - (-2)\/(-6). Let x = d + -8. Solve 0 = -2*q - 5*w - 10, x*q - q + w = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i + 59. Let l be q(5). Let f(a) = -a**2 + a - 1. Let x(c) = 8*c**2 - 6*c + 5. Determine l*x(y) - 6*f(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010000000 + 110110110010010?\nAnswer: 101110100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 141*m**2 - 156*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374768.3999995 + 374768. Let f = -0.4 - 0. Let x = f - p. Round x to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let o be i(6). Suppose -4*k = -o*k + 6. What is the first derivative of 5*p**2 - p**2 + 1 - k*p**2 wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117570.48 rounded to the nearest one thousand?\nAnswer: -2118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/1062)\/(48\/594)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 5 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 2:14 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 11. Suppose -u + 20 = -2*t, u = n*t + 5 + 35. Do t and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 0.02, 1, 3649, 2\/5, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 + 6*k**2 - 6*k**2 + (-k**4 + k**4 + 2*k**4)*(-1 + 1 + 1) + 0*k + 3*k**4 + 0*k to the form n*k**3 + d*k**4 + f + v*k**2 + z*k and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/995112 and 77\/13008.\nAnswer: 1990224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:29 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 117*n**2 + 648*n + 768.\nAnswer: 3*(n - 32)*(n - 8)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2))\/(8\/16). Suppose -i*w - 39 = 3*a, 8*w = 3*a + 3*w + 69. What is the smallest common multiple of (11\/33)\/((-1)\/a) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - 52. Let x(o) = -o**3 - 3*o**2 + 6*o - 6. Let a be x(-5). What is the greatest common divisor of i and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5853005cm to nanometers.\nAnswer: 5853005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16195 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: b\"What is the wth term of 1306, 2595, 3892, 5203, 6534, 7891, 9280?\n\"Answer: w**3 - 2*w**2 + 1288*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 - 11. Let n(g) = -13*g**2. Calculate f(n(i)).\nAnswer: 169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70065, 140135, 210207, 280281, 350357, 420435?\nAnswer: 490515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 11*z**2 - 4*z + 10. Let k be m(-10). Let w be k\/(-15) + (-4)\/6. Let o = 103 - w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 39 + 50 = -5*q, -q - 41 = -5*u. Is -21 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87819 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 688?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -113142, -113143, -113136, -113115, -113074, -113007, -112908, -112771?\n\"Answer: s**3 - 2*s**2 - 2*s - 113139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42108 and 864.\nAnswer: 3031776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 402, 609?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2806426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Suppose -2*f + r - 2*r = 15, 0 = -m*f - 5*r - 45. Sort f, 4, 1 in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**2 + 1204*x - 2389*x + 1194*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 18 - (-5 + -3) - -5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 57. Let f be a(6). Which is bigger: f or 72?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 312*y**2 - y. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l = 47*l + 111 - 475. What is the highest common factor of l and 4954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*g + 551*g = 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/8 + 107*s**3\/8 + 951*s**2\/4 - 2215*s\/2 + 1159 = 0.\nAnswer: -19, 2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*o + 1255 - 1255)*(-17 - 37 + 12).\nAnswer: 7728*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3749894, -3749893, -3749892, -3749891, -3749890?\n\"Answer: a - 3749895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1684670223 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 2*y - 169, -4*b - 256 = -5*y. Let s = b + 59. Suppose 0 = -4*a - 0*w + w + 276, s = 3*w. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 39*w + 81*w - 43*w.\nAnswer: -w + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 3. Let w be (-329)\/(-14) - 3\/2. Calculate the highest common factor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + (-4 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171 and 21.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1089181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*g - 41920 - 54220 = -908*g - 977*g for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(2\/3). Let l = -6 - -16. Let b = l - m. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + j - 20*j - 4*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43144 (base 5) to base 13\nAnswer: 143c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 11*v - 6*v, 3*i + 42 = -3*v. Let d = -14 - i. Which is the biggest value? (a) -75 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1401*f - 6969. Let s be o(-5). What is the greatest common factor of s and 11898?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/6 + -4\/3. Sort -6, l, -1.\nAnswer: -6, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p - 2699*p = 145080 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -270375 and 42.\nAnswer: -11355750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45471656471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/15 + -2\/15. Do u and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95394 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -56. Is b greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/(-20))\/(1\/(-2)). Suppose -2*a - a - j*d = -12, 2*a - 10 = -3*d. Solve a*r + 0*c = -c, 5*r - 4*c - 26 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11368 and 134432284.\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974500 rounded to the nearest ten thousand?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - -5) + -3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693604329 to the power of 1\/2, to the nearest integer?\nAnswer: 51900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 160*q - 2. Let t(a) = 8*a + 8*a + 4*a - a - 18*a. Determine t(p(j)).\nAnswer: 160*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13486 by 613.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -165909 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/893 and -15\/2557229.\nAnswer: 120189763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*(-2)\/((-304)\/1140).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 10 = -2*y + 3*y + 10*b, -3*y - 295*b + 296*b = 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 8*g**5\/5 + 13*g + 11. What is the first derivative of k(z) wrt z?\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000772936 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeaamaaaae. Give prob of sequence maea.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, b: 1, w: 4, k: 4, h: 1}. What is prob of sequence bh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 13. Let c be 0 - ((-114)\/a + 4). Suppose -5*g + c = u, -u = 5*g - 4*g - 22. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 2*o - 99. Let m = 321 - o. Let h = 59\/42 - -2\/21. Which is the nearest to -2? (a) h (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1353*v + 1353*v - v**2. Let j(g) = 273*g**2. Give j(b(z)).\nAnswer: 273*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (44 - -9 - 150).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 823 + (45 - 45 - (-2 - 2\/1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d - 4657 - 4262 = 3*d - 2421 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*q - 6, 362*c + 4*q - 3 = 367*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145539, -291111, -436683, -582255, -727827?\nAnswer: -873399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93868.\nAnswer: 2, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 1 = 5*s + 17, -p + 4 = -4*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {n: 2, y: 1, u: 6, f: 3, q: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121003, -121048, -121101, -121162, -121231, -121308?\nAnswer: -121393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 9*u + 3. Let p be y(-5). Let k = p - -9. Is 7 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:54 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2949*h**2*w - 12*h*w - 2*h - 5*w + 5 wrt h?\nAnswer: 5898*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/k*k)**(2\/65)*k**17*k*(k**(-10)*k)\/k assuming k is positive.\nAnswer: k**(1041\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -130, -0.3, -0.0674, -1 in descending order.\nAnswer: -0.0674, -0.3, -3\/8, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvnkvwwwwwvvwvnvv. Give prob of sequence wkn.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9\/33*-4)\/(5\/(-220)*8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -440 + 502 + 66 + -18.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrhrq. What is prob of sequence qqh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1006511, 2013020, 3019529, 4026038?\n\"Answer: 1006509*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 635*q = -639*q - 158, 0 = -3*p + 4*q + 126 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -49, 115, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*x = -10077, 0*x + 3363 = q + 3*x. What are the prime factors of q?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -140, -497, -1196, -2351, -4076, -6485?\nAnswer: -9692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 2.18. Let d = x + 1.3. Which is the closest to 0? (a) 4 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -710, -1418, -2126, -2834, -3542, -4250?\n\"Answer: -708*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721, 2774, 6195, 10984, 17141, 24666, 33559?\nAnswer: 43820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j + 4. Let w(y) = -4*y**2 + 6*y + 1. Let n(k) = -126*k + 124*k - 2*k**2 + 3*k**2. Let d(g) = 3*n(g) + w(g). What is -2*d(o) + h(o)?\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-14)*(-2)\/(-5)*43. Suppose -w - 51 = -5*y - 2*w, 3*w - z = -4*y. Calculate the remainder when 57 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p = -162*p - 139*p + 3420. Solve -p*y - 24 = -24*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3450 by 6.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-359 + 367 + -2 + 101 + 0)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36115 - 852?\nAnswer: -36967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26827444 plus -1573?\nAnswer: 26825871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d)\/(d\/(((d\/d**(-1\/2))\/d)\/d)))\/((d*(d\/(d*d**(-2)))\/d)\/d*d**(-1\/5)) assuming d is positive.\nAnswer: d**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.084? (a) 0 (b) 18\/19 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 10, 6, -2 in increasing order.\nAnswer: -4, -2, -1, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41811655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 5*k - 136 = 16*u, 4*k + 216 = 4*u. Suppose -4*d + 3*f + 187 = -u, d = -4*f + 66. Calculate the greatest common divisor of d and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w - 16. Let x(h) = -h**3 + 6*h**2 - 3*h - 5. Let t be x(5). Which is the third biggest value? (a) w (b) t (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 6801*u**2 + 3097248*u - 897033984.\nAnswer: 3*(u - 197)*(u + 1232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:57 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - -1*sqrt(153)))\/sqrt(9) - (-1 + sqrt(17) + sqrt(51)\/sqrt(3)) - ((-3*sqrt(17)*2)**2 - (3*sqrt(1700) - sqrt(17))).\nAnswer: -611 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/14382 and 93\/17578?\nAnswer: 158202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*b + 41 = 0, -3 = 3*b - 4*b. Solve -t + a = -2*i, -4*i = 20 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936732 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by 48719?\nAnswer: -279\/48719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/739?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29b85d (base 16) in base 7?\nAnswer: -32145231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1003\/12 + 207\/4. Let p = 32 + m. Let h = 12 + -11. Which is the nearest to 0? (a) -1\/3 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Let k(s) = 2*s**2 + 2816*s. Give d(k(c)).\nAnswer: 6*c**2 + 8448*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141 (base 9) in base 15?\nAnswer: 11ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 33424?\nAnswer: 33423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290 + -270 - (-1 - 2) - 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r + r**2 + 4 - 3*r**2 + 15*r - 2. Let u be k(13). What is the third derivative of -4*q**4 - u*q**4 + 12*q**4 - 17*q**2 + 8*q**4 wrt q?\nAnswer: 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 8}. Give prob of picking 1 a and 3 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15889411 is divided by 163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63850000 to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/14 + 3\/7. Let s = 0.3 + 4.7. Let b = s + -5. What is the third smallest value in 5, b, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12310 and 6?\nAnswer: 36930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, g: 5, k: 1, p: 3}. Give prob of sequence gpkg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t - 18. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46529 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/5 + 46898*y**2 - 2749746925*y + 54976180900 = 0?\nAnswer: 20, 117235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114976995?\nAnswer: 3, 5, 7, 79, 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 22. What is the smallest common multiple of -814*(-1 + -8 - (-323)\/38) and n(-9)?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 5*y**2 + y - 5. Let s be m(5). Solve 2*q - 2 + 12 = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and 1\/(-3) + 20\/135.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 5*a + 1. Let q be x(2). Let i be 0\/(-4 - (2 - q)). Suppose 4*p = -4*r + 328, -4*p + 3*r + 356 = -i*p. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81724242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 12. Let j = s + -6. Suppose 4*k = -2*i + 4*i - 8, j*k + 3*i = -4. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b = -40*b. Suppose -5*v = 5*u - 35, -5*u + 8 = v - 19. Suppose -u*j + 261 + 244 = b. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/10 + f**3\/6 + 7*f**2\/2 - 34*f + 57. Suppose -d - 8 = d. Let y(v) = -v**3 + 4. Give d*c(m) + 7*y(m).\nAnswer: m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/3 of a minute?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6909937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194384 and 41192?\nAnswer: 1000883216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 24 + 13 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 657927919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38044031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12228 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1027, 8280, 27963, 66292, 129483, 223752?\n\"Answer: 1036*d**3 - d**2 + 4*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-3) - (2 - 1). Suppose 0 = -2*x + j - 0. Let p(w) = 23*w**3 - 2*w**2 + 2*w - 4. Let b be p(x). What is the greatest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1007992615 divided by 5.\nAnswer: -201598523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r - 19. Let w be p(0). Let t(h) = -h**3 + 10*h**2 + 2*h + 13. Let i be t(10). Let y = i + w. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1164 + 2095. Let r = -667 + h. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2\/7 - 1696*j\/7 + 179776\/7 = 0 for j.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 373759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -5*s - 4*q, -57*s + 59*s = q + 125. Calculate the highest common factor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(2\/(-2)) + 1. Suppose 2*a - 24 = -5*o, 0 = 3*a - 0*o + 4*o - g. Find the third derivative of -b - 2*b**6 + b - 2*b**a wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1081, 1082, 1083?\n\"Answer: s + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -6.77195 (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w - 1)*(3 + 0 - 4)*(w**2 + 82819*w + 74 + 250 - 82821*w).\nAnswer: -w**3 + 2*w**2 - 324*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1053005, 1053004, 1053003, 1053002, 1053001?\nAnswer: 1053000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, 0.08, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3260159 to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*5*-6.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12669536 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2, -13, 3, 5\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4 + 10. What is the units digit of 4*-1 + (32 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 126 + 68 + 7*z + 143 - 249. Determine t(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 2*n + 1. Let k be c(-1). Suppose 0*s - k + s**2 + 5 + 2*s - 1 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21716000 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 62*f - 216.\nAnswer: -2*(f - 27)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {y: 2, f: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 4*n + (-n - 2*n + 2*n)*(4 - 4 + 2))*(1463*n + 4 - 408*n - 554*n).\nAnswer: -1503*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((1 + 0)*1). Let z be (-10)\/(-6)*144\/80. Solve -w*s - 11 = -z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (348\/638)\/((-45)\/(-55))*36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 274, 223, 172?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x - 80*x = -16. Solve t - 2*t = x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92406 is divided by 4620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 16. Let p(n) = n**2 - n - 2. Let b be p(-1). Suppose b*j = -j + d. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120 - (-171 - -67 - -25).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-27)*-3 - (-43)\/9. Suppose 5*j - 4*j = -a + 436, -3*a = -j - 1324. Suppose 5*w + n*o = a, -3*o + 497 - 63 = 5*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 15618*n**2 + 60996096*n - 121929728.\nAnswer: (n - 7808)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - (-426)\/333. Let c = -2\/37 - i. Is c less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) 0.2 (c) 24\/14333 (d) 0 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882072846 divided by 6579.\nAnswer: -134074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 27. Calculate the remainder when x is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*f + 94. Suppose a + 16 = f. Let r be 1\/2 - (-14)\/4. Solve -3*g - 5*k = -25, 5*g - r*k = -7*k + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 104457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + -3)*10\/(-35). Suppose -3*h + a*h = -36. What is the common denominator of (7\/15)\/(1\/(-3)) and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Factor -105*n**2 - 2*n**4 - 4 - 16*n + 81*n**2 - t*n**4 - 16*n**3.\nAnswer: -4*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 68. Solve n - 5 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0 - 2\/7*u - 1\/7*u**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-10) + 32\/40. Solve 4*d + 2*n = -0*d - 6, -k*n - 8 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/39 and 56\/35183241?\nAnswer: 457382133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 + -301 + 0 + 5 - 4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 - 2\/8*(-3780)\/54.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2652\/(-408))\/(((-2)\/120)\/1). Let h be ((-78)\/c)\/((-2)\/((-380)\/(-2))). Calculate the greatest common divisor of 38 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -265 and 0.03.\nAnswer: -264.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37784 is divided by 574?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeu when three letters picked without replacement from llellucau?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -2 + 5*f - 1\/2*f**2. Let l be c(5). Solve l = 4*q - 4, q + 9 = -5*j - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -19 (c) -1\/14 (d) 2\/13 (e) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o**2 + 2*o + 4*o**2)*((250 - 253 + 146)*(-o + 2*o - 3*o) - 3*o + 7*o + o) - o + o + 3*o**3 + (0*o**2 - 4*o**2 + 3*o**2)*(o + 4*o - 4*o).\nAnswer: -841*o**3 - 562*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 1009.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:58 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 2*z - 4. Let j be v(4). Suppose 9*u = 3*u + 60. Suppose -u = -k - 6. Calculate the highest common factor of j and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.066 and -0.1657.\nAnswer: -0.0109362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 17.1\nAnswer: 20.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67476 by 11246.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487916186.\nAnswer: 2, 7, 37, 4802927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 4*o**2 - 3*o**2)*(1 - 2 - 1) + (2*o + o - o)*(0*o - 4*o + 2*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11941974 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -43171?\nAnswer: 43168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2912841039 to the nearest integer?\nAnswer: 53971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2. Let r(l) = -2*l**2 + 10*l. Let p(o) = o**2 - 3*o. Let f(x) = -10*p(x) - 3*r(x). Give h(f(q)).\nAnswer: 112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 6*d - 1. Let p(q) = q**2 + 11*q + 1. Suppose -a + 5 = z - 64, 4*a - 4*z = 276. Suppose 12*f - a = -9. Determine f*y(c) + 3*p(c).\nAnswer: -2*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/304 and 65\/1224?\nAnswer: 46512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -118327, -118315, -118289, -118243, -118171, -118067?\n\"Answer: t**3 + t**2 + 2*t - 118331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 902939*w - 902943*w + 27, 70*w - 935 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 847 = -867, -y = 5*x - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 91. Let d = 257 - 259. Let w(f) = -4*f**2 + 6. Let i(x) = 3*x**2 - 4. Let z(v) = d*w(v) - 3*i(v). Determine o(z(a)).\nAnswer: -2*a**4 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 13989266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 9*l - 16. Let x be h(-6). Let i be (2 + 2)*-9*(-2)\/12. Let j be 6\/6*(-5)\/((-15)\/i). Solve x + j = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -1 + sqrt(396) - (-1 + -3*sqrt(44))) + 3.\nAnswer: 3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1625*d + 613. Give v(-1).\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3823*r**2 - 544 - 489 + 232 - 3825*r**2 to x*r + w + g*r**2 and give w.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1100) + 1*sqrt(1100)) - (-3*sqrt(1100)*1*-3)**2.\nAnswer: -89100 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3145\/(-1258))\/((-5)\/19376).\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20793193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 - -101110011100001110000?\nAnswer: 101110011100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e07 + -45ab?\nAnswer: -54b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 + 65 = 0. Let j = -15 + 17. Solve -i = -3*u + j + 6, -a = 4*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**3 + 6*q**2 - 3*q + 12. Let k(u) = -4*u**3 + 5*u**2 - 2*u + 12. Calculate -5*a(t) + 6*k(t).\nAnswer: t**3 + 3*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200314 (base 5) to base 11.\nAnswer: -4839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18))**(-3\/2)\/(r**36*r**10) assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:30 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*r + 10, -4*w - 8 = r - 21. Suppose -3*t - 4*q + w*q = -22, -5*t = -4*q - 14. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.69, -13\/6, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03524 - -4716774.3983.\nAnswer: 4716774.36306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) + (16\/(-52))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 times 19?\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7008*x + 54 = -6999*x. Let t(j) = 6 + 0*j - 6*j + j + j**2 - 2. Calculate the least common multiple of x and t(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o + 95. Let p be j(-18). Suppose -14*c + 5510 = p*c. List the prime factors of c.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.2. Let o = 0.7 - w. Let s = -0.90000068 + o. Round s to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:38 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 668 or 200?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + 11. What is g in 3*g + j*g**2 + 3 + 0*g - 2 + g**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101201212 - -20122?\nAnswer: 12101222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -865521 and 0.05 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 43 - 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 0.03943517.\nAnswer: 5.03943517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668209286 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/14, -5, -2\/11, 19, -0.2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w**4 + w - 6*w**3 + 20*w**4 - 2 + 3*w**3 to d + v*w**2 + n*w**4 + r*w**3 + i*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.1. Let c = -4 - -3. Let j be 0\/c - 2\/5. What is the closest to j in -5, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*g = 2*t + 41, -3*t = 3*g - 93. Let o be (4\/(-18))\/((-1)\/9). Suppose o*l = 3*l - t. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 2*i - 6*i, -29 = -3*q - i. Suppose -3*v - 6 = 0, -z - 4*v - 3 - 5 = 0. Let y = 5 - z. Calculate the lowest common multiple of q and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1065*s + 1303. Is y(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34.72*0.2\nAnswer: 6.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.699962 + 1.7. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -1 (c) -37 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13492000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from nnunuuvnvvnp?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 151356 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, -69, -792, -2219, -4584?\nAnswer: -8121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 706*z**2 + 92*z - 391. Is l(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16728 divided by -16728.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -2 + (0 - -5) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 165.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 - 58 + 40 - 13 + 107 - 18*s in the form d + b*s and give d.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -8 - 31) + 0 + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11311 (base 8) to base 2.\nAnswer: 1001011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 6034*h**4 + 54253*h**3 - 168736*h**2 + 216916*h - 96400 = 0.\nAnswer: 1, 2, 4, 6025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*q + 132, -6*n + 5*q = -7*n + 33. Suppose n*b - 13*b - 2640 = 0. Calculate the greatest common divisor of 88 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*m - 28 + 11, -15 = -b + 4*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15502498 + 786074.\nAnswer: 16288572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100011010010010010 + -10010?\nAnswer: 1010100011010010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 20, 18, -6, -64, -168?\n\"Answer: -2*b**3 + 7*b**2 + b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m - 712 = 0, 0 = -3*d - m + 611 - 187. What is the remainder when d is divided by ((-114)\/(-171))\/((-6)\/(-423))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 17*k - 1664. Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113939, -455749, -1025433, -1822991, -2848423, -4101729, -5582909?\nAnswer: -7291963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 10. Is (t\/10)\/(4\/(-70)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1408 - 1324. What is the highest common factor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186377354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5\/3 - 1220*p**4\/3 + 30804*p**3 + 31212*p**2.\nAnswer: 4*p**2*(p - 153)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11, -1\/7, 4, 2, -1\/122, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 845617601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328504*f*h + 155919*f with respect to h.\nAnswer: -328504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25759 minus -0.1?\nAnswer: -0.15759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -403 - -407. Solve 0 = 2*t + z - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*i - 4 = i, -l = 4*i - 20. What is the remainder when 169 is divided by 21 - (l - (1 + 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + y + 66 = -13, 2*j - 5*y - 50 = 0. Let t = 17.8 - 19.8. What is the second biggest value in j, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:23 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60927313 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, f: 4, a: 4, j: 3}. Give prob of sequence am.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -365925 - 1?\nAnswer: -365926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13033 + -260581\/20. What is the common denominator of (-21)\/(-18) + (-2418)\/(-1638) and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 130*x**5 - 12*x**3 + 102*x**2 - 12*x. Let a(n) = n**3 - n**2 + n. Let p(r) = -12*a(r) - z(r). Find the third derivative of p(f) wrt f.\nAnswer: -7800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*b + b + 2*b)*(0*b - 2*b - b) - 18*b**2 + 14*b**2 + 8*b**2)*(6 - 6 - 3) as p*b**2 + v*b + c and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7531.391l in millilitres?\nAnswer: 7531391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d - 19*d - 10296. Is -311 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250902846 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 - 2*a - 1. Let d(u) = u**3 + 11*u**2 - u - 27. Let g be d(-12). Let v = -161 - g. Give x(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 20 - 17)*(-5 + 1 + 2)*(104*s - 1655 - 103*s + 279) in the form x + i*s and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 = -6*d + 747 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-28)\/8 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(-6)\/((-24)\/(-5)) - -5. Which is greater: z or -87?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 78*z + 88. Is 54 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -158*h + 100*h + 76*h. Let z(x) = 7*x. Let l(r) = 8*r. Let g(b) = -2*l(b) + 3*z(b). Calculate g(y(w)).\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/777)\/(12\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 16117745\nAnswer: 32235490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369088327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1872) + -4*(sqrt(1872) - (-2 + sqrt(1872))) + 3 + sqrt(1872)*-2))**2.\nAnswer: 3000*sqrt(13) + 47425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1417.47 millilitres?\nAnswer: 1.41747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h + 0 + 8*h**2 + 0*h**3 - 1\/12*h**4. Let y(p) = -p**2. What is x(y(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.05. Let q = y - 49.1. Let d = -50.35 - q. What is d rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.9283 to 1 decimal place.\nAnswer: 20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:02 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -985\/6 - -164. Let g = -0.97 + -0.03. What is the nearest to g in 0, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.7, 2\/67, -11.\nAnswer: -11, 2\/67, 42.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235343539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b**2. Let d(u) = -10*u**2. What is c(d(t))?\nAnswer: 1200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1152298, 1152291, 1152286, 1152283?\n\"Answer: q**2 - 10*q + 1152307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*-0.1.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 10, 3*r + 3*w + 10 - 22 = 3 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 - -123 - ((1 - -141) + -2).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 36 = y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - 2) + 0)*(-900)\/144. Suppose 36 = -2*u + 132. Let q be u\/9 + 2\/3. Solve b + o = q*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 439*n + 437*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4956 divided by 413\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**6 + l**2 + l. Let x(y) = -3*y + y + 2*y**6 - 12*y**2 + 4*y**6 - 6*y. Let z(n) = -8*f(n) - x(n). Find the third derivative of z(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 3*d**3)*(-13*d**2 + 3*d - 7*d + 2*d).\nAnswer: 39*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26.1 - -1\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 20. Sort 2, u, -0.4 in decreasing order.\nAnswer: u, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/22*81\/162*28?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as -2251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012220 (base 3) to base 12.\nAnswer: b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116693267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 27*f + 280 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/9)\/(1\/21). Let t = -14 + i. What is the remainder when 955\/35 + 2\/(-7) is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*c - 11*c - 126563 + 1225149 = 0. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 177 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 43*u**5 - 581*u + 458. What is the derivative of m(z) wrt z?\nAnswer: 860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**8\/560 + h**6\/360 + 4*h**3\/3 - 2. Let q(l) be the third derivative of s(l). Find the third derivative of q(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136)*-1 + sqrt(136))*-5)\/(sqrt(648) + 1*sqrt(648) - -1*sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 2*t - 6. Let w(a) = -a**2 + a + 1. Let x(p) = -g(p) - 2*w(p). Suppose 9*z - 228 = -264. Let u(l) = 2*l**2 + 5*l - 5. Give z*u(h) - 5*x(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(306))\/(sqrt(4)\/sqrt(2)*-4).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14239 divided by -5?\nAnswer: 14239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 36 = -30*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 2*m - 7*m**2 + 2*m**2 - m**2 in the form v*m + x + k*m**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*u - 19 = 0, 2*u + 3808 = 5*j + 3835 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*m + 246 = 2*v, v = -5*m - 76. Let x = v + 89. Find the second derivative of x*w**5 + 20*w**5 + 6*w + w wrt w.\nAnswer: 560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r - h + 1, 0 = 2*r + 4*h - 16. Suppose r*j = 5*j. Does 14 divide j\/(2 + -3) + 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 30 = 16*v. List the prime factors of (-2304)\/(-8) - (v + -2).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3 + 5)) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 401879 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78933.05 decades?\nAnswer: 789.3305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.0549 + 0.0549. What is the second smallest value in a, -2, 510?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.3, -52, -5 in decreasing order.\nAnswer: 1\/3, -0.3, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*c + 10*c. Let q(i) = -1. Let y(a) = a + 4. Give c*y(r) - 4*q(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) -3400\/21 (c) -5 (d) -0.5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 286, 426, 564?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1195147 and 9669.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3 - (-8 - 1066\/(-104)). Which is the closest to 8? (a) j (b) -0.5 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**17\/(i*i*i\/i**(-1\/3)*i*i*i\/(i*(i**(1\/2)\/i)\/i)))**(1\/33) assuming i is positive.\nAnswer: i**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2896208 - -0.235?\nAnswer: -2896207.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 16*r - 21. Determine g(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217761280.\nAnswer: 2, 5, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3291 + -3273. Solve 0 = -2*b, -19*b + h*b = -3*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 6 + 12*p - 6 - 5 - 4. Is a(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40271 = 5*l + 3*k, 4*l - 5*k = -l + 40255. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 0.1\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*7\/((-42)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42734224, -85468445, -128202666, -170936887, -213671108, -256405329?\nAnswer: -299139550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 33425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 28 = -t. Let v be 6\/t + 1 - 1. Is v < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 81*j + 276 = 0. Calculate j.\nAnswer: -23, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6) + 14944\/24.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-31)\/(-5))\/(5\/25). Is 63\/2 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798557677*c**3*x**3 + 2*c**2*x**3 + 16*c**2 - 3*c + 5*x**3 + 24*x**2 + 818 wrt c.\nAnswer: -4791346062*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122102866 divided by -3109?\nAnswer: 39274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.5, -0.06, 75?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -6) + 0)\/(5\/(-35)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65471456.\nAnswer: 2, 43, 47581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124698 and 17814.\nAnswer: 124698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 2*q**4 - 2*q**4)*(q + 11 - 9 - 2*q).\nAnswer: -2*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**4 + 0*z**3 - 1\/60*z**5 + 0*z + 6*z**2 - 1\/210*z**7 + 1\/60*z**6 + 0. Solve v(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, -9, 24 in increasing order.\nAnswer: -9, -4, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(114) - (2*sqrt(114) - sqrt(114))) + sqrt(114))\/sqrt(6).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 6:40 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 122?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 5*x**2 - 4*x - 60. Let v(t) = 7*t**3 + 18*t**2 + 13*t + 179. Determine 4*v(g) + 13*z(g).\nAnswer: 2*g**3 + 7*g**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q - 5*q, 115 = -w + 5*q. Let z be 0 - -2 - (-20)\/2. Find the common denominator of -107\/14 and z\/(-8) + (-375)\/w.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8*i + 209. Give n(0).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3252 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uluuluuuluuu?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 20. Let r(t) = t**3 + 5*t**2 - 15*t + 11. Let l be r(-7). Suppose 3*n = n - l. What is the units digit of j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/3))\/l)\/(l*l**(1\/3)))\/((l*l*l**(-1\/4)*l)\/l)**(-2\/27) assuming l is positive.\nAnswer: l**(-47\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + c - 4. Suppose 4*l = 7 + 21. Calculate the remainder when (-1)\/((-2)\/(l + -3)) is divided by p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 2, b: 1, k: 3, g: 1, w: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -13*l**3\/6 + 5*l**2 + 15*l + 19. Let u(q) be the first derivative of r(q). What is the tens digit of u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.604714 years to decades.\nAnswer: 0.0604714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5 - 7 + 1)*(0*p**3 - p**3 - 4*p**3).\nAnswer: 15*p**4 + 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8.6. Let q = 2.5 - a. Let b = q + -15.6. What is b rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1539*k - 1506*k - 7 - 1. Let u(g) = 21*g - 5. Let a(h) = 5*j(h) - 8*u(h). Let m(i) = -4*i - 5. Give a(m(y)).\nAnswer: 12*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.7. Suppose 0*l + 5*l = 5*m + 25, -5*l = 3*m - 17. What is the smallest value in 0, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 54 + 2)*(-2 - 1 + 1)*(-7*w**3 + 0*w**3 + 5*w**3)*(-5 + 4 + 0)*(13*w + 7*w - 3*w) as k*w**3 + c*w + v*w**2 + p*w**4 + z and give p.\nAnswer: 4964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:01 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378026 times -2?\nAnswer: 4756052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w**3 + 2\/39*w**4 + 41*w**2 + 3\/728*w**8 - 2\/65*w**5 + 0 + 1\/91*w**7 + 0*w - 7\/390*w**6. Solve i(v) = 0 for v.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(32)\/sqrt(4)))\/((sqrt(2) - (-1*sqrt(20) - sqrt(20))\/sqrt(10)) + sqrt(2)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -277 and 105.38.\nAnswer: -29190.26","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -8141 - -16277\/2. Sort -4, -2\/19, z, -2\/125 in increasing order.\nAnswer: -4, z, -2\/19, -2\/125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.7 + -5.7. Let z = f - 65. What is the fourth biggest value in 1\/6, 2\/7, z, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2 + (1 - 1 - 2)*(-2 + 1 - 5))*(-6*k - 46*k + 9*k)*(-6 + 2*k + 6) in the form b*k + h + a*k**2 and give a.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*r + 3. Let x be r*(3\/1 - 35\/1). Suppose -5*m + 5*g = -610, 4*m = -3*g + 321 + x. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - ((26 - 16) + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172656 by 88.\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:29 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 31*f + 124. Let j be k(26). What is the tens digit of (14 + 3664\/24)\/((-2)\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - l)*((l - 5*l + 2*l)*(-1 + 3 - 4)*(1 + 2 - 5) - 41*l + 27 + 90*l - 50*l).\nAnswer: -9*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 91*r + 260. Give v(-88).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsd when three letters picked without replacement from ktdddkbskded.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:29 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/(((-2205)\/(-450))\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - (27 - -10)) + 15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 198 = 2. Solve 6 = -4*d + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.663 and 32?\nAnswer: 21.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 259\/16 and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/41164769?\nAnswer: -2\/41164769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 - 275*p**2 - 780*p = 0. What is p?\nAnswer: -52, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u + 3. Let a be 1\/(-3) - 16\/6. Let c be p(a). Suppose -5*z + 4*k + 48 = -27, c = -4*k + 20. Calculate the remainder when 36 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 - 2*m - 7. Let s(k) = k + 3. Calculate 7*s(w) + 3*u(w).\nAnswer: -27*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 350, 1112, 2286, 3872, 5870?\n\"Answer: 206*p**2 + 144*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 142*k**2 + 46*k + 47. Let q be j(47). Put 48, -1, 7, q in increasing order.\nAnswer: -1, q, 7, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13912 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34250 and 69322?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5 or 99187?\nAnswer: 99187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.308, -27, -3, -0.1 in decreasing order.\nAnswer: -0.1, -0.308, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186831, -374797, -562763, -750729, -938695?\nAnswer: -1126661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07826 to three decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/63 and 102\/85 - (-331)\/(-330).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010 - -1001001011111100?\nAnswer: 1001001001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-5\/8)*u)\/u*u*u)\/(u*u**(10\/7)\/u))**(-10\/11))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4 + (-2 + 3 + 1)*(-2 + 3 - 2))*(p - 2*p**2 - p) as o*p + x + u*p**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 z when four letters picked without replacement from {h: 4, z: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81, 735, 2519, 5997, 11733, 20291, 32235, 48129?\n\"Answer: 94*k**3 + k**2 - 7*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 34 + (43 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*l = -235*l + 461*l + 5427. Calculate the remainder when l is divided by 148.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3 + 1\/36*d**4 - 14 + 27\/2*d**2 - 3*d. Factor c(j).\nAnswer: (j + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28772, 27387, 26002, 24617, 23232, 21847?\n\"Answer: -1385*w + 30157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29933866.\nAnswer: 2, 14966933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 29 = 85. Solve -u = 3*b + 4*t, 20 = -3*b - 4*t + 2*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = r, r - 5*m - 7 = -32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*y - 370. Calculate the remainder when 445 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 45. Let q = 19 - z. Let t = q + -3. Sort t, 0, -1\/6.\nAnswer: t, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.2. Let t = -0.2 + w. Which is the closest to 1? (a) 0.5 (b) 2\/15 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 - 28*m - 615. List the prime factors of n(35).\nAnswer: 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4873091.7 to the nearest 1000.\nAnswer: -4873000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -20*u. Let n(o) = 7*o. Let i be 2\/(-10) - (-248)\/40. Let b(t) = i*y(t) + 17*n(t). Let a(m) = 2*m. Determine a(b(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237422167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-297)\/(-13) - (-4)\/26. Let y = 38 - s. Is 6\/y + 1065\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p - 48. Let t be f(-18). What is the smallest common multiple of 2 and 24\/(-21)*t\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 - 9*o - 11. Let u(p) = p**2 - 5*p + 3. Calculate the lowest common multiple of u(5) and r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z + 89. Determine p(0).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170398176 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2137104, 4273969, 6410832, 8547693?\nAnswer: 10684552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/223 and -18\/207161?\nAnswer: 46196903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -337 * 1.891\nAnswer: -637.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*f = -16, 4*s = 5770*f - 5833*f + 1114 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 110*w + 65. Let f(g) = -5*g - 3. Let i(u) = -6*c(u) - 130*f(u). Let p(j) = -9*j**2. Give i(p(d)).\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -56, -260 in descending order.\nAnswer: 2, -56, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -36*k + 3. Suppose 5*n - 13 = f, -4*f - 5*n = 1 + 1. Let u be o(f). Let m = -51 + u. Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -25.8. Suppose -5*r = 3*q - 10, -3*r + 5*q + 4 = -r. What is the second smallest value in r, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcffflaftqtqltqfafll. What is prob of sequence fll?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703181 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g - 19. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v + 18. Let n(f) = -f + 1. Determine -2*l(r) + 36*n(r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/2*(-3)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22283592 to the power of 1\/2, to the nearest integer?\nAnswer: 4721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 543421213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r. Let m(n) = -3*n**2 + 7*n**3 + n - 4*n**3 + r*n + 7. Is m(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325730?\nAnswer: 2, 5, 332573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4198*x**4*y**2 - 93*x**4 + 3*x*y**2 - 2*x*y - 4*y**2 + 42*y - 15 wrt x?\nAnswer: 50376*x**2*y**2 - 1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/2*8\/(-52)*(-156)\/91?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 0.084.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-3 + -3). Suppose 1 = -z + u. Let g(x) = x**3 - 4*x**2 + 6*x - 7. Calculate the least common multiple of z and g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 = -3*g, 14*g = n + 16*g + 1. Suppose 0 = -n*p - 26 + 46, -4*c + 5*p = -1456. What are the prime factors of c?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 - 11*t**2 + t**2. Let l(g) be the third derivative of 2*g + 5*g**2 + 0 + 0*g**3 - 1\/12*g**4. Calculate l(z(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = 38. Suppose -4*k = -116 - 56. Let c = -29 + k. Calculate the greatest common factor of a and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410927084?\nAnswer: 2, 102731771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294159111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 + 2*t**4\/3 - 7*t**3\/6 + t. Let a(c) = -c**2 - 4*c + 19. Let j be a(-6). Calculate o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (30\/(-40))\/(1\/4). Let h be (20\/(-40))\/(2\/(-12)). Solve t = -h*j + 4*p, 0*p - 2 = -2*j - 4*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27370, -23217, -16286, -6571, 5934?\nAnswer: 21235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7028*g**3 - 1323*g + 8*g**2 - 14*g - 5*g**2 wrt g.\nAnswer: -42168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-18)\/f)\/f**9)\/(f\/f**15*f\/(f*f**(-17)\/f)))**13 assuming f is positive.\nAnswer: f**(-416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l**2*l)\/(l**(-1\/2)\/l*l)**18)**(-5\/2) assuming l is positive.\nAnswer: l**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44176 - -40. Round u to the nearest one hundred.\nAnswer: -44100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -49244 at most as big as -2412911\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) - sqrt(76)) + -3*(-1 + sqrt(19)).\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -909 + 908. Which is the second smallest value? (a) 2\/3 (b) r (c) -0.5 (d) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 244, -14, 0.\nAnswer: -14, -7, 0, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 - 10*f + 7. Let d(u) = -9*u**2 + 11*u - 8. Let p(a) = 5*d(a) + 6*s(a). Let g = 7 - 1. What are the prime factors of p(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20) + (6960\/(-1575))\/29.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0716+-3\nAnswer: -3.0716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = 3*p + 4*f, -p + 278 - 72 = 4*f. What is the greatest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 10*d - 120. Calculate the greatest common divisor of 12 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9750329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 7 + 2*m**2 + 13 - 7)*(0 - 3 + 4).\nAnswer: 2*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.667 and 0.0361.\nAnswer: -0.0240787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2280 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4852305*z - 27 - z**3 - 4852305*z. Calculate r(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493251773 to the power of 1\/2, to the nearest integer?\nAnswer: 49932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 163. Let i(v) = -78*v + 908. Give i(p(q)).\nAnswer: -156*q**2 + 13622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20725 and 20725?\nAnswer: 20725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 847 in -11, 3, 1, 2, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 33 = -s. Suppose 0 = s*o - 8*o - 12. Solve -5*h + 16 = -3*x, -4*h + 0*x = o*x - 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 2*n + 22 - 69 + 0*n as t + y*n and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806\/21*(-3*(-2)\/(-9))\/(56\/(-42))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6860 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((1 - 3) + 8 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 99. What is the second biggest value in 1\/4, o, -0.01, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evemvmvpfvvpmvmvvm. Give prob of picking 3 m.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19047050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 51. Let n be (3 + (-48)\/18)*f. Solve 1 = -2*o - n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -125 (b) 0.4 (c) 12 (d) -0.01 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**3 - t**3 + 8*t**3)*(-4*t - t + 9*t) to n*t**2 + g*t + r*t**4 + i*t**3 + q and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**5*y + 54999*m**4*y - 25*m*y + 2*m + 90 wrt m.\nAnswer: -160*m**3*y + 659988*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**3 - 7*q + 3. Differentiate l(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 128 = -d - 130, 15 = 3*d + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = 1. Let o(b) = 2*b**2 + 2*b - 2. Does 2 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786005133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-512)\/84 - -6)*-96. Let m = 2 - 2. Factor -t*z**3 - 14*z**5 + 0 - 8\/7*z**2 + m*z - 22*z**4.\nAnswer: -2*z**2*(z + 1)*(7*z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/(y*y*y**(2\/9)*y*y))\/((y**(2\/11)*y)\/(y\/y**(-3)))*((((y*y**0)\/y)\/y)\/y)**(-1)*y**(2\/3)*y*y**(-4) assuming y is positive.\nAnswer: y**(-662\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 129, 194, 259, 324, 389?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + -95 + 89 - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 952500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)*(0 + 0). Suppose -12*a + 21*a - 77481 = n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 5 - (9 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*i + 128, 5*m - m = 2*i - 88. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12360 by -412.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 = 2*p + 10, -j = 5*p + 10. Let z be (-4)\/26 - (8\/52)\/p. Suppose k + 3*o = 28, -4*k + 3*o = -z*k - 52. Solve 2*x = 6*x - k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16061.84mg in nanograms?\nAnswer: 16061840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/140 + 2*c**7\/35 - 311*c**6\/200 + 147*c**5\/50 - 9*c**4\/5 + 158*c**2 - 13. Suppose t(n) = 0. What is n?\nAnswer: -12, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/664112 or -1?\nAnswer: 5\/664112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 + 5 + 2*b + 2*b**2 + 1644*b**4 - 1646*b**4 - 3 to the form n*b**4 + z*b + j*b**2 + q*b**3 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:41 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*q - 2223 - 7431 = 3356 + 6139 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -39, -1 in descending order.\nAnswer: 2, 0, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l - 162*l**3 - l + 43*l**3 + 10*l.\nAnswer: -119*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61963798 by 29242.\nAnswer: -2119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 2}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-60)*40)\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 + 282*d - 2320 = 0. Calculate d.\nAnswer: -290, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:28 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/18 and -15\/6607.\nAnswer: 118926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 951410600 rounded to the nearest 100000?\nAnswer: 951400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = 3*v - 236. What is the smallest common multiple of v and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -202. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*2.01.\nAnswer: -0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109820077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*a - 0*t - 49722, a + 5*t = 9966. Let c = 20054 + a. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 3, f: 6, w: 1}. What is prob of sequence twh?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4702, -9120, -13324, -17206, -20658?\nAnswer: -23572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250393639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 13*n**2 - 12*n - 7. Let y be g(12). Let h(b) = -2 - 4 - 1 + 7*b - 2*b. Let k(d) = -3*d + 4. What is y*k(j) - 4*h(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 1.9518?\nAnswer: -1.7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/21*3)\/((-4520)\/(-75145))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127430 - -65531. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 343*p**2 + 4*p + 3. Is b(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333319.\nAnswer: 7, 17, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280886 is divided by 25496.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.011844 + -0.012. What is s rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80580 and 456.\nAnswer: 3062040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2138, 4315, 6492?\n\"Answer: 2177*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q - 5*q + 0*q)*(-6 - 5 - 11 + 17).\nAnswer: 90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:05 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -11297.\nAnswer: 7\/11297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = b - 6*b + 20, 4*b - 2*v + 10 = 0. Suppose -4*o + 21 = t, b*o - o + 5*t = 0. Suppose o*d - 83 = 32. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*j - 36, -35*k + 5*j + 7 = -39*k. Is k greater than -14.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 172\/3 (c) 0.2 (d) 1 (e) -40 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 64. Suppose 17*r + 5 = n*r. Solve 0 = -3*k + 8*k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)\/b**(3\/5) assuming b is positive.\nAnswer: b**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -18. Which is the closest to 16? (a) -2\/11 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26108\/(-122))\/2140)\/(29\/(-30)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 59*n**2 + 12*n + 19. What is d(-2)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 8. Let v be c(-6). Let k = -1 - v. Let u = k + 90. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 + -0.305. Let x = 0.055 + n. Is 0.2 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 13*v**2 - 11*v + 10. Let g be p(-12). Let k be (g\/4)\/(10\/(-20)). What is the greatest common divisor of 11 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1224*p**2*y - 10*y - 157 wrt p.\nAnswer: -2448*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19) + -4)*3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 768*u**3 - 36860*u**2 + 768*u + 36864 = 0. Calculate u.\nAnswer: -96, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 888087 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)*2\/2. Let n = 4 + h. Calculate the least common multiple of n and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(9\/(135\/(-80)) + 4). Suppose -3*j + 732 = 3*s, 2*j + 15 = m*s + 491. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*g**5 - 732*g**4 - 20*g**3 + 900*g**2 + 292*g - 168 = 0. What is g?\nAnswer: -2, -1, 21\/68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284300 is divided by 2383?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/2 (b) 5 (c) 0.1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 + 5*u + 1. Let c(r) = -r**2 - r. Let w(o) = 5*c(o) + z(o). Let d be w(1). Solve 2*p + 10 = -2*b - 0*p, 2*b = d*p - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 9, n: 1, s: 1, c: 3, z: 1}. Give prob of picking 1 s and 2 q.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/600*10\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i + 262. Let x be j(7). Let r(g) = -2*g**2 + 47*g + 12. What is r(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 8. Let b(s) be the second derivative of -s**3\/3 - 9*s**2\/2 + s. Suppose 5*m = -0*m + 20. Let l(q) = m*b(q) - 5*r(q). What is l(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -205?\nAnswer: -102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -56269?\nAnswer: 56266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - z - 6*z + 4*z - 3*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*o + 148 = o, a - 28 = -4*o. Let u = a + -43. Let z = 78 + u. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -v + 4*x, -5*x = 20. Let u be v\/(-18) - (-40)\/18. Suppose u*p - 159 = 71. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146661 = 14*h - 146283 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1194 and -5?\nAnswer: -5970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1489 - 1589) + (0 + 0 - -10)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -293, -291, -289, -287, -285, -283?\n\"Answer: 2*o - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let y be s*(1 - 6\/3). Suppose 4*g + 1 = 5. Solve -2*p + g - 11 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1284 - -1284. Solve -a = -u*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imviimi. What is prob of sequence vmii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from bzzhzzzhzwzwzz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 432464*t**2 - 12973245*t + 97297650 = 0. Calculate t.\nAnswer: 15, 432434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 7*l - w + 8, -4*l + 10 = 5*w. Suppose 4*j - 3*c = 1129, -j + l*c = 9*c - 268. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -11*u**6\/6 + u**4\/12 - 11*u**2\/2 - 3*u - 10. Find the third derivative of n(i) wrt i.\nAnswer: -1320*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 2*j - 2*j + (-11*j + 22*j - 5*j)*(2*j**3 - j**4 - 2*j**3).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -39*z**2 - 185*z + 14. Let w(c) = -214*c**2 - 924*c + 70. Determine 11*m(g) - 2*w(g).\nAnswer: -g**2 - 187*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 5*u - 2. Let f be i(3). Let m(v) = -f + 0*v - 7*v + 10. Determine m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 19*t - 13. Give p(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o - 27*o + 9. Let v be o*(1 - 1\/9*8). Solve 5\/3*r**2 + 4\/3 + 8\/3*r + v*r**3 = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24156*j**4 + 573*j**2 - 5.\nAnswer: 579744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 + f + 4. Let y(a) = 5*a**2 - 3. Give -3*b(n) - 4*y(n).\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((1 - 17) + -53 + 63)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a - 3. Suppose -i = -5*d + 33, 3*d = d - 4*i. Give g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63051900 rounded to the nearest one hundred thousand?\nAnswer: -63100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c - 10. Calculate z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*a**4 + 36*a**4 - 2*a**2 + 5 - 3*a**2 to f*a**2 + d*a + m*a**4 + p + q*a**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 11, 58214 in ascending order.\nAnswer: -57, 11, 58214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 1 - 4*y + 0*y + 8*y + 8*y**2. Suppose -4*l = -3*r - 55, 4*l + 0*r - 54 = 2*r. Calculate the remainder when m(-4) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/8820 - i**6\/1260 - i**5\/420 + 7*i**4\/4 + 40*i. Let g(w) be the third derivative of x(w). Factor g(h).\nAnswer: -2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x**3 + 14196*x**2 + 191*x + 467.\nAnswer: 42*x + 28392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose 10 = y*t - 6. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 8) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -0.06. What is the nearest to z in -4, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 + 207. What is the remainder when 4 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 90553900?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.18*-68907\nAnswer: -81310.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*l - 11*l**5 - 21*l**5 + 2*l + 4*l + 1 + 2*l**4 wrt l?\nAnswer: -640*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 1798*k.\nAnswer: -2*k*(k + 899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 11*i - 36. Give t(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, 20, 54?\n\"Answer: 34*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3\/5, 2\/87 in descending order.\nAnswer: 3\/5, 2\/87, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 85. Let g be w(-25). Suppose 2*l - 17 = -g. Which is greater: l or 4\/51?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25\/(-5)*(0 + -42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 25*c + 4807 = 3157 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2965 = 5*p, 32*p + 4*q = 30*p + 1176. List the prime factors of 4 - (-19 - -15)*p\/8.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4363752 divided by -12612?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/63 and (45\/(-189))\/(5*(-5)\/(-75)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*w - 94*w - 3*h = 20, -2*h = -w. Sort -2, w, 64, -4 in decreasing order.\nAnswer: 64, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 80 = -23*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u + 589 = 122 - 331 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -188*p**3 - 10*p**2 - 28*p - 14. Let o(g) = 62*g**3 + 3*g**2 + 8*g + 5. What is -7*o(r) - 2*t(r)?\nAnswer: -58*r**3 - r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12114 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37967.\nAnswer: 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*h + 27779 = -26979 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 403660 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 6. Let s be q(0). Let d be (2\/(-4) - 0)*-1. Let y = -22971 - -22970. What is the second smallest value in y, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 2*r + 3*r - 14*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-24))\/(1\/(-18)). Suppose p = w - 17. Let s be p\/(20\/(-6)) - 1. What is the third biggest value in 4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299685016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.187, -5, 1, 1\/4, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (145\/(-18))\/(12\/18) and -47\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262079680*v**4 + 543977384.\nAnswer: 1048318720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/3 - 636440*f\/3 + 1485043 = 0.\nAnswer: -636447, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1269 or 1300?\nAnswer: 1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 11*k + 42. Let g be w(6). Which is the nearest to 4? (a) g (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8459 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = 5. Let y be 8\/(-3) + 3 - 1\/v. Suppose y*w + 3*w = -2*c + 206, -2*w + 309 = 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3056*s + 2987. Is f(-69) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/22 - (420\/(-132) + 3). Suppose -2\/5*u**2 + 2\/5 - 2\/5*u**t + 2\/5*u = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**3 - 18*a**3 - 3*a + 47*a**3 - 13 + 13*a**3 to the form w*a**2 + z*a**3 + p + k*a and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*d**4 + 8*d - d**3 - 9*d + 16*d - d**2 wrt d.\nAnswer: -960*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124ae7 (base 15) to base 12\nAnswer: -363354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*z - 1 + 5, 0 = 5*z - 2*r - 11. Let b(c) = 2*c**2 + 4*c + 0*c + c - 4. Let a = 3 - 8. Let u(w) = 4*w**2 + 9*w - 7. Determine a*b(g) + z*u(g).\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + b**3 + 3*b**2 + (-7 - 40 - 11)*(3 - 1 + 0)*(-b**2 + 3 - 3)*(3*b + 5 + 0 - 2) in the form d*b + u + o*b**3 + a*b**2 and give a.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/37180 and 41\/8863712.\nAnswer: 44318560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**6\/30 + 5*n**3\/6 + 4*n. What is the second derivative of b(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - ((9 - (5 + 0)) + 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65813?\nAnswer: 11, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-30)*45*(1323130\/(-15) - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 2, s: 1, x: 1, f: 2, o: 1}. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 8*a**2 - 13*a - 19. Let n be l(2). Solve 8 = f - 2*h + 6, f = -n*h - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 73 + 220. What is the remainder when 312 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(1008) + -1)*3 - ((sqrt(1008) + 3)*-5 - (sqrt(1008) + (sqrt(1008) - ((-3 + sqrt(1008) + sqrt(1008))**2 - sqrt(1008))*6))).\nAnswer: -24213 + 804*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.49 - -0.29. Let g = 0.2 + 1. Let j = x + g. What is the closest to 0.1 in 1\/7, j, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -71\/3. Let g = -6627 + 6627.2. What is the nearest to -35 in 3, -1, g, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107088119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, 4, 3 in decreasing order.\nAnswer: 327, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 49*x - 356. Let i(o) = -o**3 + 13*o**2 + 18*o + 10. What is i(x)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqrurrqqurzuurqa. Give prob of sequence uuq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-325)\/(-15) - 20 - (-20)\/6. Let q = -185\/3 - -64. Let u = 0.4 - 0.2. Which is the third biggest value? (a) q (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356 = 4*h - 372. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -3*n - n - y*p - 42 = 0, 4*n - 2*p + 30 = 0. Let i(j) = -5*j - 26. Is 11 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9877755 and 129\/26340680?\nAnswer: 79022040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 6029*u - 6028*u + 1, 5*u - 7 = 4*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 18, -8, 0, -146 in increasing order.\nAnswer: -146, -8, -1, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3030 and 54?\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3884713.\nAnswer: 7, 554959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -57*u - 135. What is the units digit of k(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 - 4*c + 3. Let k be r(2). Suppose 0 = -6*o - 23 - k. What is the common denominator of (2\/o)\/(16\/1620) and -35\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9595*k = 9576*k + 209 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, 1\/3, 2\/9, -2 in ascending order.\nAnswer: -2, 3\/34, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j - 31*j - 23*j**3 + 110*j - 35*j.\nAnswer: -23*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**2 - 6*l - 15*l - 220*l**2 - 60*l**2 + 2*l**3.\nAnswer: 2*l**3 - 247*l**2 - 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72837*b + 57 + 2*b**2 - 59 - 23566*b.\nAnswer: 2*b**2 - 96403*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11.9 times 30\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -1 + 0*c**3 + c**2 + 1\/4*c**4 - 2*c. Let q(a) = -2*a**3 - a**2 - 4*a + 5. Calculate 5*m(b) + 2*q(b).\nAnswer: b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s - 144. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2233134 + 213?\nAnswer: -2232421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -30, -56, -82, -102, -110, -100?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-36) - 30\/(-8) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-3))\/1)\/(((-728)\/78)\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(204\/170)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -864, -2994, -7140, -13974, -24168, -38394?\nAnswer: -57324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(-3*(-3 + sqrt(72)) - (4*sqrt(72) + 2)))**2.\nAnswer: -588*sqrt(2) + 3577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4561959.\nAnswer: 3, 1520653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 403*a**2 - 2061*a - 30. What is d(5)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -802*j*y**4 + 842*j wrt y.\nAnswer: -3208*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = -4*v - 225, 25 = -5*v. Let q = x - -46. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 16*x**2 + 4*x - 919. Let g(y) = -4*y**3 + 40*y**2 - 10*y + 1838. Give 2*g(i) + 5*w(i).\nAnswer: 2*i**3 - 919","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 243?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(550)\/(sqrt(10)*-1))\/((-1*(sqrt(2025) - sqrt(25)))\/sqrt(5))*1)**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*c**5*p**3 - 230*c**3*d*p**3 + 8*c*d*p**3 - c*d - 16*c - 17*d*p**3 wrt c?\nAnswer: -580*c**3*p**3 - 1380*c*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7334, -14749, -22240, -29837, -37570, -45469?\nAnswer: -53564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7268\/13685 - 1\/(-10)*2. Let v = -2\/119 + a. Factor v*f - 1\/7*f**2 - 4\/7.\nAnswer: -(f - 4)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -19, 2\/15, -4, 0.64, 1\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6. Let d(b) = -9*b**3. Let i be d(o). Suppose -3*t + 3 = 3*g, -2*g - i = -7*g - t. What is the least common multiple of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + -19)\/(-1 - 1). Let q = y - -4. Is q at least as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v**3 - 22*v**2 - 27*v - 4. What is the remainder when m(-1) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48249710 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*43\/172.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-7)\/(-952)*(-12)\/(-2)*-1.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94b - 64285?\nAnswer: -63637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 6.3. Let o = 2068.7 + -2069. What is the second biggest value in d, 11\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p + 54*p - 155*p - 192221*p**3 + 51*p.\nAnswer: -192221*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1867620*g**4 + g + 5459233 with respect to g.\nAnswer: -7470480*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2741 - 2745. Sort -5, 2\/15, 5, f.\nAnswer: -5, f, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/7 - 3328484*i**3\/7 + 143121994*i**2\/7 - 1464494152*i\/7 - 1610944632\/7 = 0. What is i?\nAnswer: -1, 22, 1664199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 5*c**2 + 0*c**2)*(-5*c**2 + 3*c**2 + 0*c**2) + c**2 + 6*c**4 - 39*c**2 - 2*c**4 + 4*c**4 + 2*c**4 - 4*c**4 + (1 - 1 - c)*(-c**3 + 1 - 1).\nAnswer: 9*c**4 - 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 - 11 = 0. Suppose 2*l - 8 = -u, -l = -x*u + 2*u - 7. Suppose 8*c - 16 = 12*c. Put c, -5, l in ascending order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60670.96 litres to millilitres.\nAnswer: 60670960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1242, 2481, 3720, 4959, 6198?\n\"Answer: 1239*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010125976 to seven decimal places.\nAnswer: -0.0001013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347965 is divided by 319.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 8) to base 12.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -18. Let x = s - -2. Let j be (x - -1) + (-2)\/(-1). Do 4 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391293979?\nAnswer: 1391293979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -2 (c) -1860 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103733 divided by -21?\nAnswer: 14819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5068 + 0.\nAnswer: -5068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -419, 128, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 51\/4. Let q = 1.7 + 0.3. Which is the nearest to d? (a) q (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 74 = -3*v - 2*v, -64 = -4*v - 4*a. Suppose 1269*c - 468 = 1260*c. Calculate the highest common factor of c and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + 0. Let l = -11273.810144 - -11274. Let n = d + l. What is n rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6)*-2 + sqrt(6) + -2*sqrt(216))\/(-3*5*sqrt(2)*1).\nAnswer: 13*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39006 and 27522?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -100100?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5187)\/805 + 6 + (-27)\/(-621).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*g = -1379 - 904, 3*x + 1373 = -g. Let d = 682 + x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 14*p - 12. Let u = p + 52. Suppose -o - u = -195. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -27, 0, 5, -0.8, 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-4)\/7. Let s(g) = -11*g - 62. Let l be s(-6). Sort y, l, -3\/7, -0.5 in ascending order.\nAnswer: -0.5, -3\/7, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348920 rounded to the nearest 1000?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32420441132 + -3?\nAnswer: -32420441140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 6) to base 13.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 + 2*n**2 + 2*n + 1. Let g be j(-1). Let s be (g\/9)\/(2\/(-12)). Let u(v) = -v**3 + 2*v**2 - 2*v + 1. What is u(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -23. Suppose 0*a - 1 = -a + n, z*a - 5*n = -1. What is the third derivative of o**4 + o**a + 10*o**2 + 2*o**4 wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {x: 1, y: 4, w: 9, j: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 7:52 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78948 by 9.\nAnswer: 8772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536279 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:28 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - 3 + 6*w**3 - 4*w**2 - 2 - 8*w**3 to the form x*w + g + q*w**2 + b*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156725 or -156728?\nAnswer: -156728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 8*q**2 - 24*q - 109. Calculate the lowest common multiple of 105 and m(-7).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -3*f + 3, 2*l + 4 = 3*f. Let x(g) be the first derivative of 2*g**3\/3 - g - 1. Determine x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 1, t: 2}. Give prob of sequence dtt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -59. Let z be o\/(2\/4*-3). Suppose 2*k + 2*k - z = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09218782 rounded to 4 decimal places?\nAnswer: 0.0922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28576?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51231 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578215.\nAnswer: 5, 11, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -1.2. Let d = n - 0.46. What is d rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 21. Let q be b\/(4\/12 + 0). Let m be -1 + 2 + 7679997\/q. Round m to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)**(-4\/35))**(-36) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 536 = -h, 47*r - 43*r - 720 = 4*h. What is the remainder when 281 is divided by r?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -23, -37, -51, -65, -79?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259795682 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2830 (base 13) to base 4.\nAnswer: -1122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59172\/((1\/5)\/((-2)\/(-15)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -1.7. What is the second biggest value in p, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217977 is divided by 1492?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349106?\nAnswer: 2, 19, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -4*b**7\/7 - 28*b**5\/5 + 302*b**3 + 1288. Find the third derivative of f(h) wrt h.\nAnswer: -480*h**3 - 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**2 + 6*z - 84. Let r(n) = -7*n**2 - 3*n + 40. Give -13*r(c) - 6*v(c).\nAnswer: c**2 + 3*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25266 divided by -2.\nAnswer: 12633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 34700660.\nAnswer: 34700660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307 + 310. Let x(c) = c + 19. What is the remainder when 129 is divided by x(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4752 and 69\/176.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 10*u**2 - 10*u - 10. Let c be x(-9). Is c at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - c - 145, 6*p - c = 2*p + 116. Suppose -14*i = -3*i - 1243. Calculate the remainder when i is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 973*m*z**5 - 6*m + 3*z**5 + 104*z**2 - 1 wrt z?\nAnswer: 58380*m*z**2 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 + 373 = -3*k - 2*b, -3*b = 5*k + 50 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - 6*(sqrt(128) + -1)) + -4 + (0 + (sqrt(128) + 1 - sqrt(128)) - sqrt(128) - ((sqrt(128) + 0 - sqrt(128)) + 5)))*-4.\nAnswer: 8 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164.3 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 18277880478219.8.\nAnswer: 18277880478220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/360 + l**5\/20 - l**4\/24 - 5*l**3\/6 - 12*l**2. Let y(b) be the first derivative of w(b). Determine y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/4 - -3*3\/36. Suppose z*u - 7668 = -10*u. List the prime factors of u.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, u: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 156?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11178)\/874 + 3*(-13)\/(-3).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346042463 is divided by 1835?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414611 is divided by 25913.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 - p. Let l be d(-6). Let v be (2\/(-4))\/(3\/l). What is the units digit of (v + 2)*(-20)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 39*i - 42*i. Suppose -180 = 3*z + 2*z. Let x = z - -102. What is the remainder when x is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t - 57*t = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -20*s**2 + 1445*s + 100820. Let z(d) = -d**2 + d. Let m(i) = -c(i) + 25*z(i). Determine u, given that m(u) = 0.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwvyqvvvvuywy. Give prob of sequence yyyq.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111262 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 53 - (277 - 99)\/(-89)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -2, -0.112, 2.7 in increasing order.\nAnswer: -2, -0.112, 1, 2, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-5 - 54\/(-12)). Let h be (3 - -1) + 180\/(-20). Which is the smallest value? (a) h (b) -4 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240665316 divided by 2146\nAnswer: -112146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 15. Let f be (2\/8)\/(i\/52). Suppose -3*c - 9 = -5*g + f, 0 = 2*g + 2. Let s(r) = r**2 + 7*r - 1. Determine s(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejeq. What is prob of sequence eeqj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 1087, 3804, 9113, 17878, 30963?\nAnswer: 49232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 3*m - 15. Let z = -29 - -34. Let y be k(z). Calculate the highest common factor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let n(q) = -3*q + 5. Suppose -x + 2 = -2, 3*h - 714 = -3*x. Suppose j + h = 228. Determine j*w(b) + n(b).\nAnswer: 3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -19*w**3 - 4445*w**2 - 1240977*w + 1245441. Let j(n) = -n**3 + n**2 + n - 1. Let k(b) = 15*j(b) - o(b). Determine q so that k(q) = 0.\nAnswer: -558, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1 + 11)*(-20 + 2398). Let l = y + -392. Let h = -41\/19 + -5\/209. Find the common denominator of h and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 375*j**3 + 1565*j**2 + 1185*j.\nAnswer: -5*j*(j - 79)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2992 - 1817. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*s = -0 + 2, -4*h + 7 = -s. Suppose 2*l + 2 = -4. Let b be 7 - h - (-2 - l). Solve -2*a + b*a = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225 (base 9) in base 4?\nAnswer: 121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 12. Let q(b) = -b - 2. Let z(p) = -o(p) + 6*q(p). Let l(y) = 3*y + 25. Determine z(l(d)).\nAnswer: -27*d - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + -3 - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*s = -633, -6*s = 5*b - s - 635. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4\/5 (b) 7\/3 (c) 2 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzrz when four letters picked without replacement from dzzrozrozrorzrzoror.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4\/13)*g)\/g**(2\/51)*g**21\/(g**(-1\/28)*g) assuming g is positive.\nAnswer: g**(414055\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 + 24*m**3.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpw when three letters picked without replacement from {p: 1, q: 1, w: 2, f: 2, t: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1125)\/80)\/3*1964\/4910.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2606255*0.1.\nAnswer: -260625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*t = 0, 3*t + 2 = -4. Is b\/(-4) - 3604\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 4*v)*(0 + 0 + v)*(-1 - 2 + 1)*(-2*v + 0 + 0 + (-2 + 2 + 2*v)*(0 + 0 - 1) - 2 + 2 + v + 6*v - 4*v - 3*v - 2*v - v + v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -5 (c) 1 (d) 154 (e) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -26 + 1. Suppose 0 = -6*d + 8*d + 4*b - 20, 0 = -5*d - b + 86. Find the first derivative of -d*c**2 + 21 - w - 10 wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 122*u**2 - 9*u + 8*u - 63*u**2 + 11 - 2*u**4 - 57*u**2 in the form c*u + n + r*u**4 + v*u**3 + k*u**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/9)*s*(s*s**0\/s)\/s)\/((s**(2\/3)\/s*s)\/s)**(-40) assuming s is positive.\nAnswer: s**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o + 0*o**4 + 4*o**2 - 1\/60*o**5 + 0*o**6 + 0 + 0*o**7 + 1\/112*o**8 + 0*o**3. Find the third derivative of i(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = z - m + 27, 0 = 5*z + 4*m + 108. Let r = -22 - z. What is the second derivative of -4*d - 2*d**2 + d + 2*d - d**r wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6140.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10557587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 46*f**2 - 425*f + 1675. Calculate b(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1229933 and 7576339.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 - 3*g + 3. Let t(j) = 13*j**2 - 5*j + 5. Give 5*i(y) - 3*t(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -13 (b) -2\/13 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 9, b: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.63 - 4.64. Sort 2, 5, x in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7202.3426 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Let n = a + -5. Solve q + 5 = -n*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 352304.8 days?\nAnswer: 507318912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 48. Suppose -j - h = 5*j. Sort j, -5, 2 in descending order.\nAnswer: 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/15*135\/(-3). Suppose -u**2 + 6*u**2 + f - 2*u**2 - 18*u = 0. What is u?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(sqrt(847)*-2*2 + (5*(0 + sqrt(847)) - sqrt(847)) + sqrt(847))*1)**2.\nAnswer: 110*sqrt(7) + 21176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -28*f**2 + 32*f - 24. Let i be m(4). Is 3 a factor of -1*9\/(-27) + i\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (-2*sqrt(1331))**2)*6 - (4 + (-3*sqrt(44)\/sqrt(4)*-6)**2*-5).\nAnswer: 49743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-2)\/6. Let i = -670.64 + 670.84. Which is the third smallest value? (a) l (b) 3 (c) 4\/47 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -239*w - 6936. Let n be c(-29). Let o = -2.96 + -0.04. What is the third smallest value in -0.3, o, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329402 is divided by 4223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1665 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 + 1691 = 133*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(10\/(-112))*(-3393)\/52 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 718*z**4 - 45602*z**3 - 94*z**5 + 92*z**5 - 114*z**4 = 0. Calculate z.\nAnswer: 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w - 131*w + 1300 = -212 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bamb when four letters picked without replacement from bbmbbbbbambambb?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6203*m. Let u(b) = -9*b**2. What is u(p(z))?\nAnswer: -346294881*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-216)*(-2)\/(-15). Let z(r) be the third derivative of 1\/135*r**5 + 0*r - c*r**6 - r**2 - 1\/108*r**4 + 0 + 0*r**3. Let z(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 198 - 206 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -5b4?\nAnswer: 5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/(-12) - 1833\/(-564)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 283*p. Let n(d) = 11322*d. Calculate o(n(r)).\nAnswer: -128187684*r**2 - 3204126*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 2*l = 3*l. Solve l = -5*s - 13 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/25 in -10, -4, 8, 0, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13473\/2994*4\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - p + 6, 8 = -3*z - 4*p - 2. Suppose -194 = -3*u - 0*k - k, z*u + 2*k = 128. Suppose u = 3*j - 3*a + 7*a, 3*a - 30 = -j. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 17793.\nAnswer: 88965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242 is divided by 1056.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310 - 285. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91 + s**4 + 14*s**4 + 3*s**3 + 91 - 39*s**2 wrt s.\nAnswer: 360*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314377 is divided by 12567.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q - 394. Let p be o(-37). Calculate the highest common factor of p and 1469.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192782535*q**3 - 138*q**2 - 357191?\nAnswer: -1156695210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311789394?\nAnswer: 2, 3, 7, 59, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-8))\/1 - 1. What is the nearest to u in 4, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:51 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32*v**2 - 193*v + 32. What is m(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r**(3\/8))**(-38))**(-29) assuming r is positive.\nAnswer: r**(10469\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 300 - -1451?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22970582 and -8\/1522147?\nAnswer: 252676402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26*19.734\nAnswer: 513.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 49 = -19. Let g be ((-32)\/s)\/(-2)*-9. What is the highest common divisor of 60 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, 2\/303?\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 - 6*h + 4. Let q be n(-6). Let d be 5\/(-2) - (-2)\/q. Let s = d + 8. 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: Which is the second biggest value? (a) 2\/5 (b) 5 (c) 0.04 (d) 19840\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, -0.2, -2 in ascending order.\nAnswer: -2, -0.2, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4 + 45*j**3 + 235*j**2 + 315*j + 130 = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 57*v - 350. Calculate t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 - -0.593. Which is the fourth biggest value? (a) -7 (b) 0.2 (c) -4\/9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10761171 - 6569728. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 31650?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 42*t + 306. Calculate u(13).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*g*l**3 - 3*a**3 - 19*a**2*g*l**3 - 2*a*g*l**2 + 9*g*l**2 - 5*l**3 wrt a?\nAnswer: 6*a*g*l**3 - 18*a - 38*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491286 is divided by 488886?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a day in minutes?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12187*w**4 - 2286*w**3 + 3005*w**2 - 2*w - 3086 wrt w.\nAnswer: -292488*w - 13716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -17, -1.84, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*j**5\/5 + 569044*j**4\/5 - 23492834*j**3\/5 + 35883928*j**2\/5 - 2960968*j + 368960 = 0. Calculate j.\nAnswer: 2\/7, 1, 40, 5765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-28)\/6 - (85\/(-15) - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2756*d + 26071. Calculate w(9).\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let d = -804 + 803. Which is the second biggest value? (a) 0.05 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -10*l**3\/3 + 24*l**2 + 10*l. What is the tens digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 8*f - 7. Let p be j(-6). Let s = 4 - p. Let y(v) = -v**2. Let k(l) = -19*l**2 + 8*l - 1. Let i(z) = s*k(z) + 3*y(z). Solve i(q) = 0 for q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -2. Let w(d) = 2*d**2 - 4*d + 2. Let u(v) = -25*v**2 - 2 - 1 + 3*v + 47*v**2 - 26*v**2 + 4*v. Calculate o*u(b) + 7*w(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2\/29 (b) 2 (c) -3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 28*p - 36. Let q(v) = 915 - 13*v**p + v - 916 + 3*v**2. Calculate q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p - 7\/2*p**2 - 2\/3*p**3 + 1. What is the second derivative of i(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 3, f: 6, r: 1, e: 3}. Give prob of sequence kmk.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**6*((a\/(a\/a**(-1\/3)*a*a)*a)\/a*a)**(-22\/7) assuming a is positive.\nAnswer: a**(692\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 3 + 2 + 0*i**2 - i**3 - 2*i - 2*i**3. Let x be (-2*(-2)\/(-4))\/1. Let h be z(x). Solve h*u = 6*u, 3*u + 4 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 384?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1299 + -1292.584. Let b = 37 + -36.884. Let j = q - b. Round j to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/8? (a) -4 (b) -1 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-16))\/(-3) + 22150\/400. What is the highest common divisor of 451 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {h: 16, r: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j**3 + 0 + 0*j + 3*j**2 + 1\/12*j**4. Let n(d) be the first derivative of d**2 - 1. What is n(w(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876157517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 1258170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1286 and -15\/16.\nAnswer: 10288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 7) to base 8.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/6 - u. Let v(f) = -8*f**2 + 4256 - 4256. Calculate v(l(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 15 (b) 0.4 (c) -1\/4348 (d) 1 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 1635*x + 72161. Give s(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*r + 16*r + 24. Suppose q + 22 = -5*y, -r*q - 2*q = -12. Which is the closest to -2\/3? (a) y (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 12. Let y(s) = s**3 - 7*s**2 + 4. Let c be y(7). Suppose c*l - 31 = -7. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let b = -5 + 0. Let i = 4 + b. Do i and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(19) + 0 + sqrt(19))**2*3 - (1 + (sqrt(171) - sqrt(171)*2)\/sqrt(9))).\nAnswer: -1366 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*l**4*o**2 + 35*l**4 + l**2 - 6*l*o**2 - 2*l - 2379*o**2 wrt l?\nAnswer: -864*l**2*o**2 + 420*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6 - x)*(-2*x**4 - x**4 + 2*x**4).\nAnswer: x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = 10*f + 5684. Let z = 13589 + -41350\/3. Let o = z - f. What is the closest to o in 2, -0.3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(-1*sqrt(7))*1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1217*n**4\/12 - 22*n**3\/3 - n**2 + 13*n - 14. Find the second derivative of t(i) wrt i.\nAnswer: -2434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 9*s - 5. Let y(l) = l**2 + l - 1. Let o(p) = -g(p) - 4*y(p). Let c be o(-8). Let u = c + -3. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*v + v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Calculate y(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 194a (base 15) to base 16\nAnswer: 155e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.92 + -20. Let s = -0.08 - z. Which is greater: -1\/4 or s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -4, 5, 13, 0.\nAnswer: -231, -4, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6013319 nanograms in micrograms?\nAnswer: 0.0006013319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - k - 6267 = 30696, -29566 = -4*n + 3*k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*p - 44027 - 20765 = 454*p + 46*p for p.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -31742?\nAnswer: -31735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3604, 3\/2, -191 in decreasing order.\nAnswer: 3604, 5, 3\/2, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*w + 75, 6*w - u + 45 = 2*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 957.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3438017*q*s**2 + q*s - 23645*q wrt s.\nAnswer: -6876034*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 3:22 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 524 = 250. Suppose 2*h - 632 = p. Let i = h + -498. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100110001100110001 (base 2) to base 7\nAnswer: -3362302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 1. Let g(s) = 24*s - 3. Give -2*g(a) - 9*t(a).\nAnswer: 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 31 = 2*k, -k + 8*y - 12*y = -23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*(c**0\/c*c)\/c)*c)\/c*c*c*c*c**(-1))\/(c**(-1))**12)\/((c*c**7*c*c**(1\/3)*c)\/(c*c\/c**(-1)*c)**(-11)) assuming c is positive.\nAnswer: c**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 20554927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/54888 + 35653\/79093608. What is the common denominator of t and 73\/2?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/6 + 1*(-1 - -7). Let q be a - 2 - -45 - 4. What is the units digit of (1 + q\/(-10))\/((-48)\/1200)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192731058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 163 = -703. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -4 (b) 6 (c) -13083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 1. Let x be j(1). Suppose 49 - 14 = 7*n. Solve n*q = -x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7125627514 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -154, -157, -158, -157, -154, -149, -142?\n\"Answer: f**2 - 6*f - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -7, -2, -1 in decreasing order.\nAnswer: -1, -2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-3)))\/z)\/z**6)\/((z*z**(2\/7))\/z)**(-5\/4) assuming z is positive.\nAnswer: z**(-51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/6*(645504\/(-14) - (-6)\/14).\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000101101110 - 100?\nAnswer: -100000101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 10, h = 3*k - 68. Suppose 48 = k*t + 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in 2\/117, 0.01, -1, -14, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klzlzzlkkkk. What is prob of sequence kl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -18 + 38 - ((-49 + -7 - -7) + 1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4428\/(-82)*((-4)\/(-6))\/((-726)\/(-33))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.01977, -3, -0.3?\nAnswer: 0.01977","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 57143 = 5*z, -345*z + 347*z = 4*f + 22898. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6252.24798 - 6252. What is v rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35205 (base 9) to base 4.\nAnswer: 11233013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3)\/((-2)\/(-10)). Let x(h) = h**2 - 4*h. Let f be x(m). Solve 25 = -2*v - b - 2*b, f*v - 2*b = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 1016203*u**3 - 89 + 1016201*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdj when three letters picked without replacement from twjjwiniitwd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 32*u**2 - 3*u - 4. Let o be v(3). Calculate the greatest common factor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*l - 575, l = -3*b + 5*l - 313. Let q = -79 - b. Calculate the remainder when 63 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(605)*-2 + 0)**2 + 3 - -3*((4 + sqrt(405))*5)**2.\nAnswer: 5488*sqrt(5) + 34002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -746?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**2 + 17*w**2 - 18*w**2 + 55*w**2.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11777 is divided by 1308.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let k(o) = -167*o - 1093668 + 1093668 - 527*o. What is d(k(v))?\nAnswer: 481636*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p. Suppose 4*x = 8 - p. Solve 1 = 5*h - 3*r - 3, 0 = -x*h + 5*r + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4958 divided by 38256.\nAnswer: 2479\/19128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102\/11 - 193\/22. Let n(z) be the first derivative of -2 + 4*z + 0*z**3 + w*z**4 + 0*z**2. What is the first derivative of n(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/(y**(8\/5)\/y))\/y)\/(y*y*y**(-15)) assuming y is positive.\nAnswer: y**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 32, -27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 + 8 = 0. Let y(m) = -13*m**2 - 2*m**2 + 8*m**2 - m + w*m**2. List the prime factors of y(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11088*g**4 + 1785148*g**3 - 12060524*g**2 + 17053760*g + 30800 = 0. What is g?\nAnswer: -5\/2772, 2, 5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 656?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230303 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, f: 1}. What is prob of picking 2 j and 1 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2520\/48)\/21*-6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 2\/7, -0.3, 1.43, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-3)\/(-6)*2. Find the second derivative of y**4 - 4*y**4 + c*y**4 + y wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u + 13. Let x(f) = f - 1. Determine h(b) + x(b).\nAnswer: -7*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 8*q**2 + 8*q - 1. Let h be l(7). Suppose -h*g = -3 - 9. What is the units digit of (7 - 0 - g) + 2*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9*u + 20. Let g be -1 - 9\/(-1)*1. Let d = g + -4. Sort -3, d, u.\nAnswer: u, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19152.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/7 - 3027*f**3\/7 + 78074*f**2\/7 - 144048*f\/7 = 0.\nAnswer: 0, 2, 24, 3001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 102, 148, 192?\n\"Answer: -n**2 + 51*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 9. Let h be r(14). Solve -8 = -6*x + 8*x - 3*t, h*x + t = 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/3 - 42\/63. Suppose j*k = 74 + 3. Suppose 24 + k = 7*h. Solve -28 = 5*o + h*g - g, 5*o + 2*g + 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(0 - 1 + 0) + 3 - 1 - 1)*(48 + 28*g - 48).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 36?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798244041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-18)*(-5*18\/45 - -8). Factor -22*h - b - 57\/2*h**2.\nAnswer: -(3*h + 2)*(19*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 14 = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, a: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 178*0.1284156\nAnswer: 22.8579768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -2. Suppose 4*m - t*x = 1213, -3*m + 2*m = -5*x - 316. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 b, and 1 d when four letters picked without replacement from qbtkkdqrbkrqttkdtr.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 27, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 62. Let g = 75 - y. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63154503 less than 3?\nAnswer: -63154500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + 2*c - 2*c**2)*(-1 - 3 + 6) - c**2 - 2 + 2)*(-5*c + 0 + 0).\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 41*d - 14. Let v(j) = 0*j - 850 + 845 + 15*j. Let k(f) = 4*u(f) - 11*v(f). Let h(t) = 1. Determine 2*h(m) + k(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -134?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) + (sqrt(440) + sqrt(440)*2 - sqrt(440)))\/sqrt(8))\/sqrt(5).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1. Let u(r) = 9*r + 1. Let g(q) = 3*i(q) + u(q). Let p be g(2). What is the tens digit of 2\/(-8) + 580\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 3*i - i - 2736*i**2 + 758*i**2.\nAnswer: -1978*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 947407, 1894814, 2842221, 3789628, 4737035, 5684442?\nAnswer: 6631849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*f**4 + 6*f**3 - 8*f**2 + 3*f - 925 wrt f?\nAnswer: -2688*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366.57133ms in days?\nAnswer: 0.000027390871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91.672 - -85.6. Let p = x - 1.958. Round p to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2372 and 119\/6.\nAnswer: 7116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14449\/8 - 1800. Find the common denominator of l and 59\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -34*q - 13. Let h(d) = 71*d + 28. Let i(m) = 6*h(m) + 13*l(m). Let u be i(-5). Calculate the greatest common factor of 632 and u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000251 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1159*d**2 - 16227*d - 16. Give c(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -98*j**3 - 714*j**2 + 548*j - 96 = 0.\nAnswer: -8, 2\/7, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 70. Let q = -20.99 + f. Is q < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1540005 by -5.\nAnswer: 308001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c - p + 86, 2*c - 40 = p. Let a be (-6 - -5)\/((-2)\/c). Let o(f) = 7*f + f - a*f. Let b(i) = i**2. Calculate b(o(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6 + -1 + 2. Suppose 9 - 29 = -5*y. Sort d, y, -4 in increasing order.\nAnswer: d, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 1 + 11. Suppose 0 = -2*o + o. Suppose o = 2*w + 10, 3*z + w - 1 = 3. Calculate the least common multiple of i and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d. Let i(x) = 50894744*x. Give v(i(z)).\nAnswer: -458052696*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 7 - 6 - -1 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 42 = -3*b, k = 3*k - 5*b - 80. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g)**(-11)\/(g\/(g*g\/(g*g\/g**(2\/5)*g))*g\/(g**(-1\/12)\/g*g)) assuming g is positive.\nAnswer: g**(1159\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 9*w**3 + 21 + 11*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:18 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 404*n**4 + 653 wrt n?\nAnswer: 1616*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 39 - 46. Suppose 7*l - 3*l = 2*o - 16, -4*o = -3*l - x. Suppose 3*y - 82 = -0*y - o*v, y = -5*v + 10. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209614368 a multiple of 5701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62895240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120021201100 (base 3) in base 2?\nAnswer: 101001100111100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/2))\/p**(2\/5))\/(p\/(p*p**(-5)))**(19\/4) assuming p is positive.\nAnswer: p**(-433\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*q - 60*q + 168*q + 203*q in the form h + o*q and give o.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10395*a + 12960 = -10719*a for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11375 = -9*c + 7*c, 4*w - 9088 = 4*c. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -85*l + 6*l + 252 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 9, -1318 in increasing order.\nAnswer: -1318, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*f + l + l, -2*l - 8 = 0. Let u be 0 + f + (-516)\/(-126). What is the third biggest value in u, -5\/3, 0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/4 + 6 + (-8)\/(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -1731280*k + 1731285*k + 61, 4*k + 53 = 3*j for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrhqmuxh. Give prob of sequence uxh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -253*v + 16. Let t(k) = 255*k - 22. Give -3*b(f) - 2*t(f).\nAnswer: 249*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 30*o**3 - 15*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21185 is divided by 198.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171759\/260 - -8664\/13. Find the common denominator of ((-9)\/(-20))\/((-3)\/26) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(2*l + 0 + 0) + 2*l + 2*l - 3*l + l - 2*l + 0*l + 7 + 6*l - 7.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 1 (c) 2\/49 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 7*o. Let m(j) = j. Give 12*m(x) - 3*s(x).\nAnswer: 6*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 6234.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*i - 3420 = 155*i. Suppose -3*n = -5*j + 1047, -5*j - 117 = 3*n - i. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1585*i + 4741*i - 1576*i - 4 - 1576*i.\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 269641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 939\/21 + (-2)\/(-7). Suppose -4*j + 19 + m = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**5 + 6*s**2 - 19*s - 6. Let j(p) = 11*p**5 + 5*p**2 - 18*p - 5. Let t(x) = 6*j(x) - 5*u(x). Find the second derivative of t(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12840383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 326*i**4 + 325*i**4 - 182*i**2 + 84*i**2 in the form p*i**3 + f*i + a*i**2 + j + s*i**4 and give a.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhhoobjhhjjjhohjj. What is prob of picking 2 b and 1 h?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1560\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Suppose -5*a + k*a = -2. What is the remainder when 4 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 9125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, -540, -2863, -7362, -14763, -25792?\nAnswer: -41175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 3. Let t be b(-2). Let j = 17 + t. Solve 4 = -2*w + 5*a, w + 3 = -a + j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5926 - 23715 + 5937 + 0*c**3 - 9*c**3 + 5927 + 5925.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2124 and 8868?\nAnswer: 1569636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584*n - 135083964*n**2 - 584*n + 135083965*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + y**2 + 0*y**2 + (2 - 2 - 1)*(y**2 - 4*y**2 + y**2) + 17*y**2 + 50*y**2 - 96*y**2 + (y + y + 0*y)*(-2*y - 3 + 3).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (14 - 18 - (0 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2. Let z(k) = 0*k**2 + 3*k**2 - 2*k**2 + 5. Let p(u) = -1. Let h be 30\/4*((-80)\/12 - -6). Let b(v) = h*p(v) - z(v). Calculate y(b(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 51\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + -1 + -88 + 87 - 12) + 12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.52409 microseconds in minutes?\nAnswer: 0.0000008754015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -402, -904, -1606, -2508, -3610, -4912?\n\"Answer: -100*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1618230 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*m*n*y**2 + m*n*y - 10*m*n - 2*n*y - 371*y**2 wrt m.\nAnswer: -23*n*y**2 + n*y - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 3*z + 3. Let h(k) = 2*k**2 - k. Let x be h(1). Let v(q) = -q - q**3 - 11 + x + 9. Calculate s(g) + 3*v(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 431*n - 428*n + 5*a - 147, -n + 49 = 4*a. Solve n + 7 = -8*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, e: 1, i: 5}. What is prob of sequence ssie?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*u + 18 - 4, -4*u + 16 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 - 7*h - 1. Let f(s) = -3*s + 6. Let o be f(4). Let k be x(o). Suppose -32 = -k*q + q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 3 (c) -2 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*w = -28, 5*y - 5*w + w = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21485844.\nAnswer: 2, 3, 198943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/(x\/(x\/x**(2\/15)))*x**(-8\/3)\/((x\/x**(-3))\/x) assuming x is positive.\nAnswer: x**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 2*a - 1080. Let k be 3 - ((-92)\/a - 1). Let f = k - 18\/5. Find the common denominator of f and 109\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Solve m + 1 = -r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 33 + 3 = 0. Let f = 97 - t. Is f\/4 + 2\/8 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:20 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -140. Let f be (-2)\/(q\/(-20) - -3). Solve f*g - 18 - 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let i = -4661 - -4660.8. Which is the third biggest value? (a) 2 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -13*n**3 + 57*n**2 - 33*n + 64. Let u = 124 - 58. What is the least common multiple of u and m(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 107.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224070809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/10 + 8*g**5\/3 + 62*g**4\/3 + 128*g**3\/3 - 4474*g**2. Let u(h) = 0. Calculate h.\nAnswer: -2, -2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -855 + 1130. What is the greatest common factor of g and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921755289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -16. Suppose -2*j + o*s + 26 = 0, -2*j + 0*j + 3*s = -22. Solve 3*q - 4*u - 35 = -0*u, -j*u = 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 + 109*x - 215*x + 105*x.\nAnswer: -x - 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 225276852*z - 6343707505878738 = 0.\nAnswer: 56319213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301 + 301 - 63*w - 43*w to the form o + m*w and give m.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -58.5.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 4, c: 3, y: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*o - 4*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1459702557 and 1459702559 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975 is divided by (-131 - -130)*(348\/(-3))\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 - 163. Suppose 4*u = 5*w - d + 163, 3*w = 3. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x + 5*b, x - b + 8 = 10. What is the third biggest value in 1\/4, x, 5\/2, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 h when three letters picked without replacement from {p: 4, b: 1, h: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606765 - 4647500?\nAnswer: -6254265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/20 and -79\/158286?\nAnswer: 1582860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 74247 (base 9) to base 7\nAnswer: 262666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2*(-6)\/4. Let x be 0 - (1 - (5 - -3)). Let c(i) = -i + 9. Let m be c(x). Solve -4*g - 16 = 2*b, -3*g - m - k = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w. Let l(o) = -o + 29. Let k(u) = 9*u - 246. Let p(s) = -2*k(s) - 17*l(s). Suppose -5 = -17*n + 12*n. Calculate n*c(q) - 3*p(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) - (-17602)\/(-18). Let s = g - -23369\/24. What is the common denominator of -16 + 23 - 170\/8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, 278, 794, 1310, 1826?\nAnswer: 2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1042 + -934. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = c - 2*c, -5*c = a + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**10\/5040 - j**6\/180 - j**3\/3 + 4. Let h(z) be the third derivative of a(z). Find the third derivative of h(u) wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127251 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - 5451118?\nAnswer: -5451157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-24))\/(-13)*(-164)\/(-41)*4\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - 2*h)*(2 - 2 + 2*h) + 21 + h**2 - 28 + 4 + 8*h.\nAnswer: -3*h**2 + 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(171) + -2 + sqrt(171))*6 + sqrt(171)))**2*3 - -5*(sqrt(171) - (-4 + (sqrt(171) + 1 - sqrt(171))**2))*-2.\nAnswer: -44958*sqrt(19) + 1394034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -2 + 21 + (-3 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = z. What is the smallest common multiple of 36 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:51 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l + 6. Let y(g) = -2*g - 1. Let p(z) = u(z) + 6*y(z). Let m(i) = 2*i + 367. What is p(m(o))?\nAnswer: 2*o + 367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 54*n**2 + 99*n - 48.\nAnswer: 3*(n - 16)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -499632362.9999971 - -499632384. Let r = x - 21. Round r to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p - 6 = -63*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -12 (c) 0 (d) 16 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 29 - 25)*(2*o**4 - 2*o**4 - 3*o**4) as g*o + x*o**2 + p*o**3 + j + z*o**4 and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-128)\/(-288)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*d**4 - 840*d**2 - 125*d**4 + 493 - 2*d**3 + 837*d**2 in the form v*d**4 + y + h*d + w*d**3 + q*d**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2947 and 3.\nAnswer: 8841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -29*x**2 - 457*x - 798. Calculate g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 44. Let u be r(0). Let l = u - 17. What is the units digit of l\/(-6)*-1*20\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4439\/5 or -889?\nAnswer: -889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 3:35 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -18*p + 57. Let x be g(25). Let s = x + 758. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.391 to one dp.\nAnswer: -97.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 112176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69633?\nAnswer: 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Suppose -42*v + 25*v + 153 = 0. Let c(n) be the second derivative of -1\/2*n**3 + 0*n**2 + 0 - v*n. Determine t(c(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2545 - 4366 - k + 2*k to l*k + u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(68) + 4 + (sqrt(68) - sqrt(68)*1) - sqrt(68)) + sqrt(68) + -4 - ((sqrt(68) + sqrt(68) + -1 + sqrt(68) - sqrt(68))*-4 + -3)) + 1 + -3)**2.\nAnswer: -108*sqrt(17) + 49573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 1 - q + 2. Let w(p) = -p. Let o(u) = -83 + 35 - 4*u - u**3 + 42 - 4*u**2. Let r be o(-3). Calculate r*w(k) - m(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*p - 86*p + 469*p + 719*p - 6 + 4 as l + x*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 13*y**2 - 29*y + 40. What is o(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d192ff - 2?\nAnswer: -d19301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 5976 - 5973. Let l(q) be the second derivative of 0*q**2 - 3*q - 1\/5*q**d + 0 + 1\/20*q**4. Factor l(g).\nAnswer: 3*g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 57. Suppose -17 - 28 = 4*d + r, 0 = 2*d - 5*r + 17. Let j be z(d). Let x = -2 - -2. What is the closest to j in x, -0.4, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7612.2 * 0.2.\nAnswer: -1522.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -2.758, 0.3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**4 + j**2 - j**2)*(-47 + 31 - 38) as r + g*j + k*j**2 + i*j**4 + u*j**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83034?\nAnswer: 2, 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -21, -46, -79?\n\"Answer: -4*l**2 - 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214482*i**2*s**2*z + 3*i**2*s*z - 579*i*s**2*z - 280*s**2 wrt i.\nAnswer: -428964*s**2*z + 6*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197674114663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 9*h - 2. Let n(d) = -d. Let v(w) = -5*n(w) - y(w). Let l(c) = -11*c**2 - 23*c + 11. Give 6*l(x) - 34*v(x).\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.96 - -0.04. Let j = o + -3.8. Let u = -1 - 2. Which is the third smallest value? (a) -1\/2 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10551, 42133, 94759, 168423, 263119?\n\"Answer: -w**3 + 10528*w**2 + 5*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285 - 6?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -0.9, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*c = 0, 2*k = -2*k + c. Let m(i) = 3*i + k - 12*i - 8*i + 5. What is the tens digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6669 and 67\/2565.\nAnswer: 33345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 2*n + 2. What is p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 7, f: 5}. What is prob of sequence lcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 714 and -4189?\nAnswer: 4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5490892 grams?\nAnswer: 549089200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, b: 5, y: 11}. What is prob of sequence by?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.06 (b) -2 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let j(p) = p - 2. Let u(w) = 2*f(w) + j(w). Let y(m) = 28*m - 4. Give y(u(t)).\nAnswer: 28*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 29 = 4. Suppose -c + 2*x = -15, x + l = 2*c + 2*x. Suppose -5*n = -3*z - 82 + 16, -c*z - 58 = -4*n. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*f - 21, -3*i + 3*f - 23 = -5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3020*l**4 + l - 3 - l**3 + 9 - l**3 - 3 to the form i*l**4 + w*l**2 + v*l + s + z*l**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 + 5 = 0. What is the third biggest value in -2\/5, w, 6\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 6638664.\nAnswer: 1\/1106444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 0.1867\nAnswer: -50.8133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032687 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -4. Let t be -4 + n + (1 - -1). Suppose -16 = -3*i - f, f = -4*i - t*f + 25. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 22. Let m(l) = 1499*l. Determine m(g(b)).\nAnswer: 4497*b - 32978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37015675, 74031347, 111047019, 148062691, 185078363?\n\"Answer: 37015672*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 83*a - 130. Suppose x - 2*b = 0, x - 3*x = 4*b - 32. Is k(x) a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 - 335. Let i = 58 + d. Let j = -66 - i. Put -4, j, -2\/21 in decreasing order.\nAnswer: j, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 249, 549, 975, 1533, 2229, 3069?\nAnswer: 4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -33784138?\nAnswer: -439193794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r)\/r)\/r*r**28 assuming r is positive.\nAnswer: r**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-3)\/12)\/((-11)\/(-44))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38000, 37993, 37978, 37955, 37924, 37885?\n\"Answer: -4*g**2 + 5*g + 37999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 27 = -2*k. Suppose 41*f + k = 44*f. Solve h + 3*o - 11 = f*h, -3*h - 13 = -o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 19*j**2 + 22*j. Let l be n(-20). Is (-2)\/(-8) + (-830)\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 + -131?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -101010100110111100?\nAnswer: 101010100111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*w + 79 = 0, -2*w - 36 = -5*k + 4*k. Suppose -3*o + k = 3*t - 22, 4*t = 2*o - 26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 152. Let b(o) = -3*o - 2. Let y be b(-7). Calculate the greatest common divisor of y and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001640486 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 199*l + 1912. Give w(-10).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoodenac. What is prob of picking 2 d and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 5*i**2 - 40043*i**3 + 7760*i**3 - 61392*i**3.\nAnswer: -93675*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243656135.\nAnswer: 5, 7, 19, 37, 67, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239091360 a multiple of 10107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = c - 26, -2*z + 13 = 5*c - 2. Suppose -1167 = z*i + 233. Let l = 503 + i. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2773 and -55?\nAnswer: 15.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209085 or 209074?\nAnswer: 209074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j - 1. Suppose -2*a = h + 7, 28*h - 27*h - 4*a = 17. Determine g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899982, -1799877, -2699770, -3599661?\nAnswer: -4499550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 179704.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 1140 = 33. Suppose -62 + x = -b. What is the remainder when 45 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118.79 + -1.79. Let y = -134.8 + o. Let h = 20 + y. What is h rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 20078.948\nAnswer: 4015.7896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 669*q + 847*q + 177*q - 36*q to the form m + p*q and give p.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00213 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 + 2 - w**3 - w + 6*w + 4*w. Let r be g(7). Suppose 0 = 7*n - r*n + 72. Let t(q) = -q**3 + 7*q**2 + 9*q + 2. Calculate t(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n. Let x(g) = g**2 + 3*g. Let o be x(-3). Is n less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = j - 4*w, -3*j - 9 = -w + 3. Let n(y) = -11*y**2 - 8*y - 5. Let t(k) = -7*k**2 - 5*k - 3. Calculate j*n(m) + 8*t(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u - 17*u = -52 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136368 by 11364.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and 1\/5774406?\nAnswer: 11548812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 + 537 = 59*i + 28*i. Which is the nearest to -2\/3? (a) i (b) 2\/11 (c) -1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 9*l - 81. Let g be w(7). Sort -3, 23, g.\nAnswer: -3, g, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2507135, -10028566, -22564285, -40114292, -62678587, -90257170?\n\"Answer: -2507144*a**2 + a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 - 5.5. Is m <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 674, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3*l**4 - 3*l**4 - 5*l**4).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24533122 (base 6) to base 9.\nAnswer: -1433555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-3))))**(-14)\/((z**(1\/3)*z)\/((z*z*z**(-2\/41))\/z)) assuming z is positive.\nAnswer: z**(3397\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163489 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-3)) - 574\/182. Which is the fourth smallest value? (a) m (b) 1\/9 (c) -1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -32, -62, -110, -182, -284, -422?\n\"Answer: -r**3 - 11*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 2541?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*h*r + 6*a*r**2 + a + 5580*h**2*r**3 - 3*h**2 - 2*r**3 - 713862 wrt r?\nAnswer: 12*a + 33480*h**2*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126146852371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42364 + -25986. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -20 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 61. Let g = 19 - 15. Let t = -3 + 2.8. What is the nearest to t in g, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5024, -5026, -5028, -5030?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 4, -4*b = 2*k - 14. Solve -k*o = o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170042029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*a**2*p**4 + 4996*a**2 + 246*p**4 wrt p?\nAnswer: -72*a**2*p**3 + 984*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 10) in base 12?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/6 + j**3\/6 + 607*j**2. Let q(f) = -8*f. What is q(m(a))?\nAnswer: -32*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1409 divide 2046424555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-39)*(14 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2946 = -3*t - 3*x + 2940, -14 = 7*t - 2*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 13.\nAnswer: 17\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**5\/5 + 29*w**3\/6 + 2*w**2 + 6. Let q(m) be the second derivative of u(m). What is the first derivative of q(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 99424432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w - 3*w + 0*w + (-5 + 3 - 2)*(-2*w + w - w) - 2*w + 2*w - 2*w as b + h*w and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3 = 9*o, -206*v + 4*o = -208*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -101515\/22004?\nAnswer: -101515\/22004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39811363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.85 - -0.05. Let j = -3.9 + p. What is the second biggest value in 2\/7, j, 0.09?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1519996197\/1676 - -906919. Find the common denominator of d and 7\/16.\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*m**2 - 19 - m**3 + 3 + 26*m**2)*(2 - 2 + 2).\nAnswer: -2*m**3 - 4*m**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5629 by 22.\nAnswer: -5629\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/60 + v**4\/24 + v**3\/3 + 2*v**2. What is the remainder when 9 is divided by c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(208)*1 - 4*(-4 + sqrt(208) + 5 - sqrt(208)))*-5)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -4)\/((-3)\/6). Suppose -4*y + y = -o - 15, -v = -2*y + 4*o. What is the third derivative of -23*k**2 + k**4 + y*k**4 + 24*k**5 - 6*k**4 wrt k?\nAnswer: 1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13400 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdctcfcttttdgtttdf. What is prob of picking 3 c?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0 + j + 0 + 5. Let v be x(-4). List the prime factors of 5*v + 0\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002482507 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572785889?\nAnswer: 3, 17, 331, 93169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 29*s. Let q be t(-21). Suppose 0 = -3*g + 621 + q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 504672 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 113517 = -2*t + 3*t, -t - 3*a = -113512. Let g = t - 175527. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:26 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 2 s when four letters picked without replacement from znsznznuuznznnzsnzz.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 - 8 = 0. Let a(n) = 298*n - 48275. Let t be a(162). Solve 9 = c*l - 4*r, -l + 5*r = -5 - t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-87.\nAnswer: 5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c. Let h(l) = 2*l. Suppose -a + 0 = j - 5, 2*a = -j + 7. What is a*d(k) - 7*h(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 9814664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1391*u + 1411*u - 340. Let s(h) = -h**3 + 18*h**2 - 18*h + 16. Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 4. Let w be -2 + 1 - 5\/(-2). What is the biggest value in w, u, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1086*p + 1. Let s be g(-1). Let m = s - 767. Suppose 2*n = n - m. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 - -106)*(12 + 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -383*s**6\/30 - s**5\/10 + s**4\/2 + 5*s**3\/6 + 237*s**2\/2 - 6571*s. Find the second derivative of d(x) wrt x.\nAnswer: -4596*x**2 - 12*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102792846 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 83.\nAnswer: 36\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/(-598)*-65*2\/(-5)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115304 (base 8) to base 11.\nAnswer: 27849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416952, -416950, -416948, -416946, -416944?\nAnswer: -416942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/45))\/q**(-24)*(q**(2\/3))**20 assuming q is positive.\nAnswer: q**(1724\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.022 (b) 0.5 (c) -7\/37 (d) -4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 50192 = 3*r, 5*x + 16708 = 96*r - 95*r. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16355, -31798, -47247, -62702, -78163, -93630?\n\"Answer: -3*g**2 - 15434*g - 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. What is the greatest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 2. Let u(p) = 2*p + 101. Let b(i) = i + 45. Let j(k) = -9*b(k) + 4*u(k). Suppose -v + 1 = 2. Calculate v*y(n) + 4*j(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085 and 3038.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 + 1097*t**3\/6 + 323*t**2 - t - 23. Find the first derivative of i(c) wrt c.\nAnswer: 3*c**2 + 1097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/110 + 0)\/((-12)\/24)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:07 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 at least 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 3. Sort 0, l, 5.\nAnswer: 0, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1831549299 to the nearest integer?\nAnswer: 42797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 29 + -2 - 2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u**2 + 0*u - 9*u**2 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 7*p**2 - 29*p - 21. Let f be g(10). Let l be (18\/15)\/(f\/((-4290)\/12)). Calculate the greatest common divisor of l and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1891.37 - -1905. Let q = 13.73 - v. Let w = -8 + 1. Which is the biggest value? (a) -0.3 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:56 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 903442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3676226 divided by 122.\nAnswer: 30133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10.8, -3 in increasing order.\nAnswer: -3, 4, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 483 in 4, 3\/4, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let q(l) = -l**2 + 3*l + 9. Let p be q(5). Which is the closest to 0.2? (a) 5 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2030336967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Calculate the remainder when 6 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131627366 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l + 0*l)*(-4 + 0 + 5 - 3*l).\nAnswer: -9*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 30. Let i be p(-8). Suppose 34 - i = -4*o. Let k be 1\/(-2)*4\/(-2). Which is the biggest value? (a) k (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5*v**3\/6 + 3*v**2 - 91*v. Let z(t) = t. Calculate -q(s) - 6*z(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2 + sqrt(28))\/(sqrt(576) + (sqrt(576)*-2 - sqrt(576)) - sqrt(576)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*g - 79 - 83 + 38 + 55*g wrt g.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 521\/2608 - 2\/163. Let v(x) = x**3 - 5*x**2 - 3. Let z be v(5). Calculate the common denominator of s and ((-2)\/24)\/(z\/(-105)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - -4 - (-29 + -4 + 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.351 (b) 70\/3 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z - 8. Calculate g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 20. Determine d(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -17934.26.\nAnswer: -1793.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -503382*h + 13 - 503379*h - 273*h**2 + 1006761*h in the form z*h + w*h**2 + y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3436968.3 to the nearest 10000.\nAnswer: 3440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + 67. Let k be (-3 - 68\/(-20))\/((-2)\/(-1080)). What is the highest common factor of f and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2870 (base 9) to base 15.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3252*h**3*i**4 + 18814*h**3 - 4*h**2*i**4 - h wrt i.\nAnswer: 13008*h**3*i**3 - 16*h**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 3*v**6\/380 + 2*v**5\/57 + 13*v**4\/228 + 2*v**3\/57 + 45*v**2 - 132. Let k(a) be the second derivative of r(a). Factor k(q).\nAnswer: 2*(q + 1)**2*(9*q + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120137 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a - 2*a + 10 + 2*a**2 - 4 + 1. Let l(o) = 2*o**2 - 6*o + 6. Give 7*l(k) - 6*m(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 496091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) -246 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2574 by -6.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d05 + 131?\nAnswer: 6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 - -183. Let i(d) = 2*d**2 - d + 4. Let g be i(-4). Let b = u + g. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g. Suppose -5*v = -v - 2*f - 24, -2*f - 19 = -3*v. Let z be n(v). Suppose 4*l = -l + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3722627.841 to the nearest one hundred.\nAnswer: -3722600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 6*k)*(-2 + 1 - 1) + 0*k - k + 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 22*y = 29*y - 48 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 16*b**2 - 9*b. Is n(-16) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = -35024. Let s = p - -21356. Suppose 0 = 10*d - 8*d + s. Round d to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448001, -447982, -447929, -447824, -447649, -447386, -447017, -446524?\nAnswer: -445889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*o - 137*o = -16 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7\/2)*w)\/(w\/(w\/(w*(w\/(w\/w**7))\/w)))*w**(-9)*w**(4\/9)*w assuming w is positive.\nAnswer: w**(-289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22318753*y**2 + 31864908*y.\nAnswer: 44637506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f. Suppose -5*h - s + 32 = -f*h, -3*h + 2*s + 14 = 0. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 201377.94?\nAnswer: -201377.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -447680567.5 rounded to the nearest 10000?\nAnswer: -447680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/70435665 and 7\/62609480.\nAnswer: 563485320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -124. Let w = -78.9999959 - m. Round w to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y + 30. Let m(v) = -5*v + 16. What is 9*m(f) - 5*n(f)?\nAnswer: 15*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -49*l - 37*l - 51*l - 446, 5*f + 0*f + 3 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2. Let j be q(4). Let d be (4\/30)\/((-355)\/(-25)). Let w = d + -301\/9372. Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g - 0*g. Calculate the remainder when 23 is divided by g\/16 - (-141)\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2827001, 5653995, 8480989, 11307983, 14134977?\n\"Answer: 2826994*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11318325797 and 0.1.\nAnswer: -11318325796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z. Let g(j) = 15*j - 27. Suppose -12*x + 5*f = -9*x - 2, 0 = -x + 2*f + 2. Let b(m) = 14*m - 23. Let v(l) = x*b(l) + 5*g(l). Determine h(v(u)).\nAnswer: -63*u + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 18*p - 14 + 28 - 37.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usuo when four letters picked without replacement from {y: 2, o: 2, s: 2, a: 3, u: 4}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + 7. Suppose -4*l + b = -4*x + 204, -4*x + 187 = 5*l. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 392240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*p - 6*a, 2*a = 4*p - 4. Suppose 0 = -p*b - b - 15. Is (-2098)\/b + 78\/(-30) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177 + -176. Suppose -6 = -2*o - 5*c + 3, 2*o + s = 5*c. Solve o = 2*i - 0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 11 = k, 4*k + 4 = 5*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h + 3. Let a(b) = -5*b**2 - 11*b + 11. Let q = 9 - 0. Let s(x) = q*v(x) - 2*a(x). Let z be s(4). Sort 2, -4, z in increasing order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50127*g**2 + 5*g - 54376*g**2 - 5*g.\nAnswer: -4249*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.1 (b) -4 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - -1*(-1*sqrt(187) + sqrt(187)) - sqrt(187))\/sqrt(11)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -413 (b) -5.6 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w**3 + 3*w + 3. Let q(b) = -27*b**3 - 5*b - 5. What is -3*q(u) - 5*x(u)?\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2169 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a93 (base 14) to base 11.\nAnswer: 44a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 254653457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 8:01 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002160089 to six dps.\nAnswer: 0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2556 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 931970.7 millennia?\nAnswer: 11183648400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.6. Let n = -0.5 + b. Let t = 99\/728 + -1\/91. Sort t, -5, n in descending order.\nAnswer: t, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i. Suppose i = 4*c - 5*y - 6 + 23, 0 = 4*c + 3*y + 9. Let h be (c\/(-9))\/(4\/36). Is h greater than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2190836 by 2.\nAnswer: -1095418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.89131 nanometers to kilometers.\nAnswer: 0.00000000000589131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1328 + 1328. Suppose 4*i + 1 = -7. Let l be 1\/i - 3\/(-24). Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose z*c - 4 = 16. Suppose -c*u = 4*o - 20, -3*o = u - 0*u - 11. What is the greatest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 349?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5608882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.4 - -59.31. Let d = h - -0.09. Let l be ((-2)\/(-3))\/(54\/243). What is the second smallest value in d, -2\/13, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/(24\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*n = 0, 3 = -2*q + 5*n - 4. Let i be (-37)\/148*(-3 - 1). Let f = q + i. Solve 4*h + 9 = b, -3*h + f = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 83925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004096965795 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 - 12 = -d, 0 = 3*b + 9. Let v = 14 + d. Suppose -2*a + 268 = 234. Calculate the greatest common divisor of v and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - (8 + (-90)\/10). Solve 12*t + x - 37 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {b: 1, a: 1, w: 1, s: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -8, 5*w + 3*t = 12. Suppose -y - 3*y + 4 = w. Let r be (7\/14)\/(2\/(-16)). Sort y, 2, r in decreasing order.\nAnswer: 2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(2\/25)\/z))**40 assuming z is positive.\nAnswer: z**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68118679 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m + 15*m + 37*m**4 - 13*m**4 + 4*m wrt m.\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 746762.4 meters?\nAnswer: 74676240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = 0. Suppose -y - 4*y - 65 = g. Which is smaller: -12 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 - 1 = 0, -3*b = 3*a + 7086. Let x = a + 63710\/27. What is the common denominator of x and -44\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 4*v + 8. Let l be z(6). Solve 4*n = -x - l, 3*n + 6 = -9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24778335 and 3012383.\nAnswer: 27790718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5093 - 142589\/28. Find the common denominator of j and 0\/9 - (-50)\/32.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712623913 to the power of 1\/2, to the nearest integer?\nAnswer: 26695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqdqqqqq. Give prob of picking 1 d and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8284 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, 1\/5, -41, 16, -118 in increasing order.\nAnswer: -118, -41, -1, 1\/5, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**7\/105 - s**5\/15 + s**2\/2 - 3. Let m(f) be the second derivative of h(f). What is the third derivative of m(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -2 (b) 0.03 (c) 29 (d) -23 (e) 1\/4 (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 4*m + 4*m + m)*(2*m - 4*m + 5 - 2) to the form r + b*m + o*m**2 and give r.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + a - 10 = 0, -a + 10 = 5*g + 2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 8. Let j be u(-6). Which is the third smallest value? (a) 1\/5 (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, g: 2, a: 1, o: 4, r: 4, s: 2}. What is prob of sequence oohr?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 835 + 10365. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 3. Let s = -1 - r. Let y = s + 0.5. Which is greater: -2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357 bigger than -358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48015 divided by 5.\nAnswer: 9603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-736)\/48 - (-465)\/31)\/(2 - (-53)\/2)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + y = v - 159, -3*v = 5*y - 148. Let m(i) = -i**2 - 3*i + 4. Let s be m(-4). Suppose 4*f - v + 13 = s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -374, -368, -362, -356, -350?\n\"Answer: 6*i - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - (15 + -14). Suppose d = w + 6*w - 6496. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23739.35 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2\/9 + 88*y\/3 + 484 = 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*g + 595, -2*g - 429 = -2*o - 27. What is the greatest common factor of 56 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/55 and 49\/2159861.\nAnswer: 10799305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 + 140 + -265 + (0 - (1 - 3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5308229700 to the nearest 1000000.\nAnswer: -5308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - n**3 - 35*n - 24*n.\nAnswer: -n**3 - 53*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))**34\/((v*v**3)\/v*v\/v**(-2\/5)))\/((v**(4\/3)\/v)\/v**10)**(1\/3) assuming v is positive.\nAnswer: v**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-2)*(-4)\/(-10). Suppose -2*b = -s + 12, -b + 55 = k*s + 16. Factor -4*g**2 + 6*g + s*g**2 - 3*g**2.\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + -2 - (-105 - -94). Let j(v) be the third derivative of -27*v**2 + 1\/10*v**5 + 0 - 2\/25*v**6 + 0*v - 16\/525*v**7 + 0*v**f - 1\/30*v**4. Factor j(y).\nAnswer: -2*y*(y + 2)*(4*y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 - 12*l**4 + 94*l**3 - 168*l**2 + 88*l = 0. Calculate l.\nAnswer: -11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 2*w**2 + 2*w - 2. Let l be v(2). Let z = l + 5. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*y, -y = -3*i - 2*y + 11. Let w(p) = -p - i*p + 3*p. Give w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24116 + -1?\nAnswer: -24117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(13\/5)\/u))**(1\/73)*(u**(-9)\/u)**(-1\/13) assuming u is positive.\nAnswer: u**(3611\/4745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-131)\/(-19) - (4 - (-390)\/(-95)). Solve 5*d - 3*u + 2 = 0, 13 + m = 2*d + 4*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*f - 15, -3*g + 20 = g + f. Solve g*u = 2*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**5\/5 + a**4\/2 + 4*a**3\/3 - a**2 - 3*a + 77. Factor m(h).\nAnswer: -(h - 3)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1)*6\/(-18))\/(256\/3200)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1862594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47026*b**2*n**2 - 22482*b**2*n - b**2 - b*n**2 + b*n - 6*n**2 wrt n.\nAnswer: -94052*b**2 - 2*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 99 + 1169 = 0. Suppose 215*i - 869 = j*i. What are the prime factors of i?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -501 + 490. Let w be 3 - 0 - (k + 17). Which is the closest to -0.1? (a) w (b) 1\/18 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-35)\/14 - (-212 + 231)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -13.2?\nAnswer: -105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224916 is divided by 112451.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.84980852 from -3104.\nAnswer: -3101.15019148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 553*d + 6*d**2 + 2*d**3 + 239*d + 4*d**4 - 798*d - 9 as o*d + v + m*d**3 + r*d**4 + w*d**2 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*2)*-3*-1)\/((1*sqrt(90)*3)\/sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 178 - 20280?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 923.\nAnswer: -6\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1586155 and 120?\nAnswer: 38067720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*b = 8982, -b = -4*b. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**2 + 4*n - 33. Let m(i) = 9*i**2 + 3*i - 33. Let u(y) = 3*c(y) - 4*m(y). What is the first derivative of u(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 5*v - 23. Let c(f) = -f**2 + f + 5. Let o(a) = -11*c(a) - 2*i(a). Calculate o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-4)*1430 + -5. Let g = v + 174539\/162. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/8 + 519*s**3\/8 + 3599*s**2\/8 + 7689*s\/8 + 576.\nAnswer: (s + 1)*(s + 3)**2*(s + 512)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1)\/2 - -3. Suppose -v + 2 = -c*t - 12, v = 2. What is the tens digit of -18*(t - 9\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 18 = -18. Let t = g + 7. Sort t, -3, 0 in ascending order.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94900 = -87*p + 94117 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from hccchcc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/9, 0.4, 21, -0.11 in ascending order.\nAnswer: -0.11, 2\/9, 0.4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5. Suppose -p - 278 = p. Let t = p + 142. What is x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77161289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 18 - 1 - (-3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, u: 2, s: 4, o: 4, b: 2}. Give prob of picking 1 b and 1 s.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:36 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 38, 42, 44, 44, 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44204 (base 6) to base 9\nAnswer: -8354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994340522.\nAnswer: 2, 3, 43, 19357909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 2 (c) -3 (d) -497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5647684 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.2706 - 0.0706. Let a = -28.4 + s. Round a to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24157985 and -0.2.\nAnswer: -24157985.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:11 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 2 + 13 + 26 - 11.\nAnswer: 8*l + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 8, -f - 42 = -2*f + 2*a. Calculate the greatest common divisor of 76 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-69 - -39) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*b - 14864 = -434*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from 57.\nAnswer: 57.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/226 and 13\/14464.\nAnswer: 14464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/539 and 162481\/33880 - 5 - (-2 + (-30)\/(-16))?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/4)\/(-1)*(-152)\/266?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261190 is divided by 87062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*z = -5, 4*z + 4 = 2*z. Factor -s*d - 2*d**3 - 10*d**2 + 5*d + 0 + 6*d**4 + 4.\nAnswer: 2*(d - 1)**2*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let l be p(4). Suppose 5*n - 2*n = 12. Let r(d) = -2*d**2 - 6*d + 5. Let u(b) = b**2 + 5*b - 4. Give l*r(y) + n*u(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7903 = 5*u, -12 = 2*q + q. Let n be 4 - 10 - -3 - u. Round n to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 10*(16\/56 - 58\/105).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.766 - 0.74. What is y rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -539, -4, 1, 2 in descending order.\nAnswer: 2, 1, -4, -59, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s + 50 = -31*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q**2 + 2*q + 3. Give w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 0.539.\nAnswer: 7.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**3 + 4*x**2 + 4*x - 7. Let d(f) = f**2 + f - 1. What is 4*d(r) - y(r)?\nAnswer: 10*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1726, 1720, 1710, 1696, 1678, 1656?\n\"Answer: -2*g**2 + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -172. Let k(q) = -425*q + 2. What are the prime factors of k(b)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -265025?\nAnswer: 4\/265025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 8*x = 5*s - 103, 0 = -10*s + 12*s - x - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g - g. Suppose 0*l + l - 641 = g. Suppose -z + 139 = -5*v, 3*z - 2*v + l = 8*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 - -280. Suppose j*s - 210 + 75 = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(3*v - 4*v + 2*v)*(-4 + 1 + 2) - 7*v - v - 3*v + 3*v - 5*v + 3*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -770 + 774. Let k(s) be the third derivative of 0*s + 0 - 1\/12*s**d - 2*s**2 - 4\/3*s**3. What is the derivative of k(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 261 = 2*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/194 and ((-18)\/(-162))\/(-2*(-2)\/(-158))?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 115*k**2 - 411*k + 71997. Give x(113).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 - 1) + -227 + 220 - 26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.4, 24\/11?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -152, 18, -67, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -136*s**2 + 10*s - 7. Let z(b) = 68*b**2 - 5*b + 4. Let d(c) = -6*h(c) - 11*z(c). Let x be d(-2). Calculate the highest common divisor of 35 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44324 (base 5) in base 7?\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 854237 to the power of 1\/2, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 37*c**5\/7 + 80*c**4\/7 - 25*c**3\/7 - 80*c**2\/7 - 12*c\/7 = 0?\nAnswer: -2, -1, -6\/37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 24. Let h be 1\/(28\/(-8) - p) - -4. Determine c so that 1\/4*c + 3\/4*c**h - 1\/2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.57 - 33.544. What is l rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11887512 and 154?\nAnswer: 130762632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-13) + 2 + (-121 - -115)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/540 + -763\/1080. Calculate the common denominator of w and -47\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361800, -361803, -361806, -361809?\nAnswer: -361812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7758?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8957*z - 35697. Calculate f(4).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x + 4. Let h be a(8). Let f = h + -6. Suppose -2*o + 8 = -24. What is the smallest common multiple of f and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/20*555\/6. Suppose 3*g - 542 = -4*k, 2*k + 3*g - u = 126. What are the prime factors of k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 2*u**2 + 2*u - 2. Let c be r(-3). Suppose 23 = -4*q - c. Does 5 divide (-6)\/(-9)*-1*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 6)\/(-4)*22\/(-11). Suppose -2*b + 10 = c*f, -2*b + 7*b = -3*f - 3. Solve f*k - 11 = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3 + 56*f**3 - 168*f**3 + 2*f + 0*f**2 + 62*f**3 + 3*f**2 + 52*f**3. What is p(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*z - 337*z + 36 = -4*c, 0 = -3*c - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3\/6 + 12*s. Let h(l) = 2*l**3 - 2*l**2 + 5*l. Calculate -6*g(j) + h(j).\nAnswer: 2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -629*l + 12537. What is r(20)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 3*d**2 - 2*d - 6. Let u(g) = -2*g**3 + 3*g**2 - 2*g - 7. Let c(s) = -5*i(s) + 4*u(s). Give c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*c - 0*y - 4*y, 0 = -2*c - y. Suppose -4*i = -c - 6. Let r be (-23)\/(-5) - i\/(-5). Solve k = -0 - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)\/(w\/((w*(w\/(w\/((w\/(w\/w**(-7)))\/w)))\/w*w)\/w)*w)*w\/((w**(2\/5)\/w*w)\/w)*w\/(w\/w**(-9)) assuming w is positive.\nAnswer: w**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103992 by -42.\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121635244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089005339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 52. Let s be 12\/i*10\/(-12). Let k = -7 + 7. Which is the nearest to k? (a) 1\/3 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47866 and 13286?\nAnswer: 3494218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 1104*l\/11 - 465920\/11.\nAnswer: 2*(l - 832)*(l + 280)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/((-85)\/952)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1257 + 1248. Let i(l) = -79*l - 1. Let f be i(-1). Is f + 2 + (b - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-48))\/(0 - 3\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -306 (base 16) to base 13\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293 is divided by 318.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60\/15 - 1*-1 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)\/o)**(10\/11)*o**(1\/4)\/o**(-8) assuming o is positive.\nAnswer: o**(347\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 647\/5. Let j = 3.1 - 0.1. Which is the closest to w? (a) 2\/11 (b) j (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135.91987 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-7750)\/4200 + -39?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107356 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 + -675. Let h = n - -212.48. What is h rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - w - 2. Let n(t) = -20*t**2 + 5*t + 276. Give -n(r) - 4*s(r).\nAnswer: 12*r**2 - r - 268","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16 and 149\/210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 + 9*x + 2. Let h be g(-9). Let f be -3 - (h + 24 + -3). Let y = 39 + f. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -316\/5 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.9 + 7. Let v = 0 - 0. Let h = w - v. Which is the third smallest value? (a) 2\/17 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + v**2 - 1. Let q(t) = -11*t**3 + 6*t**2 - 617. Determine -q(l) + 6*x(l).\nAnswer: -l**3 + 611","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1482175956 divided by -6\nAnswer: -247029326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.517501 + 68.52. Round t to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v - 2, -3*h = 5*v - 6989. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5816 - -5814. Put -3, g, 0.41 in increasing order.\nAnswer: -3, g, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301102111 (base 4) to base 14.\nAnswer: c1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63726 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(-2 + sqrt(1216)) + sqrt(1216) + 4)**2.\nAnswer: -43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -464608 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) + (sqrt(440)*-1 - sqrt(440)) + sqrt(440))*6)\/(6*1*sqrt(8) - sqrt(8)))\/(6*(-1*sqrt(176) + sqrt(396))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 + w + 4. Let g(z) = 2*z**3 + 47*z**2 - 27*z - 78. Let a be g(-24). What is r(a)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:06 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -45. Let n = -123 + h. Let r = n - -163. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + h + 17, 5*a + 4*h = 2 + 5. Suppose 4*x + 10 - 26 = -2*b, a*b - 8 = 2*x. What is the highest common factor of b and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 18*w**2 + 9*w - 48. Let q(s) = -305*s**2 - 150*s + 815. Let g(b) = 35*m(b) + 2*q(b). Solve g(j) = 0.\nAnswer: -2, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -28 + 15 + 11 - 3*b - 9*b**2 - b**3. Suppose 8 = -y - 1. Is l(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 169 = 118. Let n = 87 + j. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - (-6 + 8))*(-518)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 128*i**2 + 620*i - 429. What is k(47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165630487247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 4475 - 47927. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 43 = 3*z, 3*n - 40 = -4*z + 24. Solve 0 = n*u - 23*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:19 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18 + (-10 - -2) - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 4. Let r(h) = h**3 - 7*h**2 + 7*h. Let q be r(6). Let p(t) = -2*t + 13. Let x be p(q). What is the greatest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4970*n*s**2 + 2*n*s + 179*n - 129*s**2 - 3*s - 1 wrt s?\nAnswer: -9940*n - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 - 304. Let q be v\/55 + 44\/10. Which is the second biggest value? (a) -0.061 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**3 + 4*w**3 + 2*w**3)*(2 + 3 + 0)*(-16*w + 14*w - 8*w) as d + u*w + n*w**4 + o*w**3 + j*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2206268, -2206144, -2206020?\n\"Answer: 124*h - 2206392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/3, -2, -0.5, -3, 447, -3\/8, 0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1621095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = 5*u, 11 = -2*u + 4*k - 13. Let h be (-21)\/9 + u\/3. Let l(p) = -p**3 - 3*p + 2. What is the remainder when l(h) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0062 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:34 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28bcbb (base 13) to base 7\nAnswer: -11322640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, -2\/15, -1\/4, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176364 is divided by 738.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + h = -h - 34, 19 = -3*s - 73*h + 78*h for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -1621, -3307, -5567, -8395, -11785, -15731?\nAnswer: -20227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-16)*(-15)\/(-5))\/(378\/(-36)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -38 - 14. Suppose 0 = 6*g + 3 - 27. Suppose -y + 41 = 2*b + 4*z, -g*z - 2 = -b. What is the least common multiple of 6 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 990.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11795268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/4 - 0. Let t = -85\/2 - -601\/14. Let n(s) = s**2 - 4*s - 2. Let w be n(4). What is the closest to f in 1\/3, w, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(12\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 93.\nAnswer: -23\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 98.44 (b) 51 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11720542 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-5) - (7 + -4))*2\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661478742 to the power of 1\/3, to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18992\/(-47480) - (-98)\/195.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.229542ml to litres.\nAnswer: 0.006229542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11824 and 1128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -87c449 (base 16) to base 15\nAnswer: -bab4de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 753 - 752.999996217. Round a to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-373)\/(-5) - (-140)\/100. Let u = -4 + 0. Let p be 57*(u\/(-3) + -1). What is the greatest common divisor of c and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(5*b - 4*b - 2*b)*(32*b + 7*b**2 - 32*b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {u: 1, n: 1, o: 1, j: 2, z: 2, s: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 27. Suppose -179 = -5*c + 86. Suppose -5*k - 2*y + c = 0, -3*k - 2*y = -y - 31. What is the greatest common divisor of k and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -84, -124, -200, -324, -508, -764, -1104?\n\"Answer: -2*h**3 - 2*h - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**2*j**5 - 5*a**2*j**2 + 184*a*j**5 - 254*j**2 wrt j?\nAnswer: 480*a**2*j**2 + 11040*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1 + 604*s - 602*s - 3*s**2 + 1. Let l(b) = -5*b**2 + 2*b + 4. Let h(n) = n**2 - 1. Let v(m) = 3*h(m) + l(m). Give -4*v(g) + 3*z(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/20 and 77\/2152.\nAnswer: 10760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 22 - (-2)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -123. Let a(k) be the third derivative of 13*k**5\/60 - k**4\/24 + k**2. Let q be a(1). Solve 6*t + q = f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -71*p + 428. Let c be i(6). Let f be (83 + -83)*-1*1\/c. Solve -7*j + 2*j - z - 27 = f, -3 = j - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 21535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/51)*o)\/o**(-3\/7) assuming o is positive.\nAnswer: o**(853\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41580*z**2 - 296*z**3 + 41580*z**2.\nAnswer: -296*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v**0)\/(v\/(v*v*v\/(v\/v**(1\/58)))*v**(-14)\/v) assuming v is positive.\nAnswer: v**(639\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301226897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(504))\/sqrt(8) - (sqrt(252) - (sqrt(252) - 5*(sqrt(252) + -1)))**2)*5.\nAnswer: -31625 + 1485*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -m + 3*m - 28, 3*m - 4 = 5*v. Let g be (129 + 0)*m\/24. Suppose -5*f + 3*h + 239 = h, 0 = f - 2*h - g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a micrometer in nanometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1554*((16 - 11) + -1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - ((-2 - -2) + (5 - (-7 + -7)) + -10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -38. Let b(y) = -1149994*y + 21. Let l(u) = -2299987*u + 43. Let z(p) = i*b(p) + 3*l(p). Let a be z(-6). Round a to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110657312 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 790656.98 and -32974.\nAnswer: 757682.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 70*b + 64. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6694 in -4, 12, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let g = -8 + 7. What is the closest to z in g, -0.1, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10744 divided by -4?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040225.\nAnswer: 3, 5, 23, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.49, 519, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295932 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: Let o = 58 - 9. Let g = 4699125944.99999998 - 4699125994. Let p = o + g. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/12 + 5*h**3\/6 + 3*h**2\/2 + h. Suppose 5*d + 5 + 0 = 0. Let y be 560\/(-176) - d\/((-11)\/(-2)). What is f(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -167779, -167800, -167847, -167932, -168067, -168264, -168535?\n\"Answer: -2*r**3 - r**2 - 4*r - 167772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 + 95 + -218 - -136?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2976 + -2985. Let u(s) be the first derivative of -s**4\/4 - 3*s**3 - 25*s**2\/2 + 4*s + 1. Is 39 a factor of u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321021 + -201022?\nAnswer: 114444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 + 1 + 16*i + 66.\nAnswer: 16*i + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3))**(-40)*p**(-6)\/p**7 assuming p is positive.\nAnswer: p**(-173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15*(76320\/12864)\/(-53).\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*q**2*v*x**2 + 4*q**2 + q*v*x**2 + 2*q*v*x + 2*v wrt x.\nAnswer: 92*q**2*v + 2*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*f = 312*f + 37520. What is the remainder when f is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (27 - 37) + -2 + -1 + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(160)\/sqrt(4)*2 - sqrt(1000)*-2)\/((2*sqrt(64))\/sqrt(8) + sqrt(8) + (sqrt(648) - 3*sqrt(648))))**2 + 5).\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 3*l**2 + l + 2. Let m = -5 + 3. Let w be d(m). Let u be (-4 - -5 - -1) + 320\/(-170). Put w, 2\/5, u in increasing order.\nAnswer: w, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -19. Let g be 2\/r*-4*7. Differentiate 4*q**2 + 4*q**2 + 8*q - g - 8*q with respect to q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/25148127 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29463382?\nAnswer: 2, 13, 277, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040 is divided by 853.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/2)*m**(5\/7)*m*m*(m\/m**(-2\/3))\/(m*(m*m**(2\/57)\/m)\/m*m) assuming m is positive.\nAnswer: m**(225\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 168\/(-24) + 1530\/248 and -57\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 + 45*o. Let x(l) = 6*l**2 + 2*l. What is -2*a(s) - x(s)?\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 8251.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 2:38 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 36*i**4 - 3152968*i**3 + 69043167300*i**2 - 306801848352*i + 122718497344 = 0.\nAnswer: 4\/9, 4, 43789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*z = -60, -3 - 95 = -4*k + z. Calculate the remainder when k is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 330. Let o be k(14). Calculate the highest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 322465.\nAnswer: 2\/322465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w + 12*w + 14*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 8*c - 18. Let j be b(11). Suppose -p + j + 121 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056695639 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 333*u = -330*u - 8, 3*u + 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.96935718 and -0.9.\nAnswer: 11.06935718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuauuauegaguruue. Give prob of sequence aga.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-15)\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 324, 726, 1280, 1980?\n\"Answer: -h**3 + 85*h**2 - 4*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*t - 2*r - 9, -6 = -3*r. Suppose 3 + t = h - w, 15 = h - 5*w. Suppose -15 = -s - 2*q - 3, 0 = -5*s + h*q. Put -1, s, -5 in increasing order.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98623? (a) 0 (b) -36 (c) -3 (d) 2 (e) -4 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((2\/(-8))\/((-21)\/(-140)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20349 divided by 3\nAnswer: 6783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 77 - 2*g - 16 + 85.\nAnswer: -2*g + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1015 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624\/3936*((-2)\/7 - 1947\/21)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -35359*a + 1501. Is c(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let t(w) = -2*w + 7*w**2 + 0 - 1 + 2 - 2. Let q be t(-1). Calculate the highest common divisor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-19)\/(z**(-13)*z))\/(z**19)**(4\/5) assuming z is positive.\nAnswer: z**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -98 + 73. Solve 2*c + 1 - s = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(1100) + 1 + sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 3)*-6) + 3)*-1)**2.\nAnswer: 99000*sqrt(11) + 2239600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 9)*(c + c**3 - c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - 1 - (-12 - -5) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338\/249 - 2\/83. Suppose -4*j = -3*y - y + 8, 0 = -y. What is the smallest value in 5, p, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1400600712 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 h when four letters picked without replacement from nnnhqhnhnnnnnhnnhhn.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3 + 4*p**2\/5 + 23*p\/5 + 4159. Factor h(n).\nAnswer: -(n + 1)*(15*n - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 + 269 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d + 78*d - 341458 = 0. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:00 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 490 - -181. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 1, g: 5, o: 1, h: 4}. Give prob of picking 1 e, 1 o, and 2 g.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14312791687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, c: 3, b: 1, u: 4, i: 2}. Give prob of sequence quci.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4846707031 rounded to 5 dps?\nAnswer: 0.48467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4*9\/(-54)*(-855)\/(-210))?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 688 and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - 0.24. Let p = 6.4 + -9.4. Which is the nearest to i? (a) -1\/2 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 + -32?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51408340 and 17?\nAnswer: 51408340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.89 - 78.89. Let c = -78.69 - n. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*g - c + 28, 0 = 2*g - 3*c + 15. Let b = -4 - g. What is the third derivative of -x**b - 2*x**4 - 2*x**4 + 0*x**2 + 0*x**4 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4477082 to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1\/4, -1\/54, 2\/7, 0.2 in descending order.\nAnswer: 8, 2\/7, 1\/4, 0.2, -1\/54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337*h + 35601 - 839 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -475\/2431 + 3\/221. Which is greater: c or -26\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1830 by 1939.\nAnswer: 1830\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -146?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 4, w: 3, z: 1}. Give prob of sequence fw.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6\/11 (b) 18 (c) 0.1 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 73 - 73.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 4*j. Let z(y) = 8*y**2 - 7*y. Let s(g) = -5*b(g) + 3*z(g). Let w(t) = -2*t**3 - 3*t**2 - 6*t. Give 6*s(r) - w(r).\nAnswer: 2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q - q - 17*q + 240*q**2)*(-4*q**2 + 3*q**2 + 7*q**2).\nAnswer: 1440*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -115. Which is the second smallest value? (a) -0.2 (b) z (c) -4 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(14 + -7))\/((-20746)\/1100 - -19)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -111*i + 202 - 193\/2*i**2. Differentiate q(g) with respect to g.\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242 by -19.\nAnswer: 242\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -39 - (12 + 16 + -14).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssvsjhsvsssbb. Give prob of picking 2 b, 1 s, and 1 h.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - c + 8 + (0 - 2*c + 0)*(1 - 5 + 0) + 3*c + 1 - 1 to the form w*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*-3*32\/(-384)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146668.9 nanoseconds to microseconds.\nAnswer: 146.6689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721971.\nAnswer: 3, 97, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/157? (a) -12 (b) 0.2 (c) 3 (d) -3\/4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/3 - 10856*d\/3 + 1871714 = 0?\nAnswer: 579, 4849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 3. Let m(h) = -5*h + 2. Let q(t) = 3*m(t) + 2*r(t). Let w(j) = 18*j**2. Calculate q(w(o)).\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16*v + 55*v - 12*v + 2 + 2.\nAnswer: 59*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + (2*sqrt(133) - sqrt(133))))*-6)\/(sqrt(112) - sqrt(112)*2))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 80 + (142 - (100 + 66)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {y: 1, r: 2, d: 2, s: 1, t: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/15 + 82*d**3\/5 - 2956*d**2\/15 - 208*d\/5 + 60032\/15 = 0?\nAnswer: -134, -4, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 290650430 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 7*z**4\/3 + 2*z**3.\nAnswer: z**3*(z - 6)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**3 - n**2 - n - 1. Let b(k) = 7*k + 7. Let o(x) = 3*x + 4. Let v(g) = -2*b(g) + 5*o(g). Let l be v(-7). Determine i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4497 divided by 88046?\nAnswer: -4497\/88046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4789\/3 + -1596. Let m = 289\/4 + -73. Put g, -7, m in ascending order.\nAnswer: -7, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/300 and -169\/90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-1050)*20)\/((-6)\/63).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from lhglghghjihljtg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11*u - 468 = 0. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 43*h**5\/5 - 51*h**4\/2 + 14*h**3\/3 - 21*h**2 + h + 3200. Find the third derivative of g(t) wrt t.\nAnswer: 1032*t - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - v - 2*v = 11, -2*g = 5*v + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -3*p. Let f = 5 + p. What is the remainder when 5 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -328, 5 in descending order.\nAnswer: 104, 5, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 206910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s + 8. Suppose 0 = -v - 3*v - 12, 0 = s*o + 3*v + 81. Let g = 27 - o. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5446640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24057 and -2389623.\nAnswer: -2413680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/5 + 36839*x**4\/5 - 68358427*x**3 + 46310716681*x**2\/5 - 1603143506808*x\/5 + 1557174545424\/5 = 0.\nAnswer: 1, 68, 18351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68726, 137451, 206178, 274907, 343638, 412371, 481106?\n\"Answer: l**2 + 68722*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-3*o - 2*o + 2*o)*(-16 + 2 - 20).\nAnswer: -306*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5815 (b) 4\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 51*s + 6 = -4*j, 2*j = 0. Solve -s*i = 144 - 180 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1746 + -1731 - (-5 + -1 + (-31 - -105))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 89*x - 6. Let d be s(8). What is the common denominator of (-20)\/(-6)*17\/(-12) and d\/20 - (-3)\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13110875 to three decimal places.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 56, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26718558 is divided by 505.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 27*s + 0 - 1\/2*s**3 - 1\/2*s**2. Give j(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**9\/10080 - c**7\/2520 + c**6\/720 - c**5\/30 + c**2. Let u(s) be the third derivative of t(s). What is u(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b**2 - 176*b - 2. Let d(l) = -6*l**2 - 70*l - 1. Give -12*d(x) + 5*z(x).\nAnswer: -8*x**2 - 40*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 18*n**2 + 32. Let q(l) = -2*l. Calculate q(a(h)).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence httf when four letters picked without replacement from thfftttftfhf?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 75*a = 72*a - 2049303, a - 683099 = -i. What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose u*i - 16 = i. Let n = i - -28. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -3, 22, -239.\nAnswer: -239, -121, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 23 + 53 - 13 - 11 + 118*z.\nAnswer: 118*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223.196 weeks in seconds?\nAnswer: 5578188940.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 10) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/236)\/(76\/(-112)) + 9 + (-4)\/38?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/((-2184)\/1560*10\/(-42)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:17 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8*j - 8)*(-12*j**4 + 17 - 17) + 7*j**5 - 10*j**4 + 10*j**4 - j**5 + 4 - 4.\nAnswer: 102*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + -9 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*v + 184 = 0, -c = -4*c + 2*v + 158. Let k = -30 + c. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130628280 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 4*s - 4. Let v be f(3). Let q be 2*-2 - (v + 0). Suppose -5*x = 6 - q. What is the smallest common multiple of x and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0927 - 380.5927. Let d = 380 + y. What is the closest to 23\/4 in -5\/4, -1\/9, d?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 39 + 0*k**3 - 5*k**3 + 3*k**3 in the form z*k + h*k**3 + m*k**2 + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5 + 798*p**4 + 125622*p**3 - 21384*p**2 - 3432699*p - 6779214 = 0 for p.\nAnswer: -111, -3, 6, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -32, -43, -54, -65, -76?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(684) + -3)*3*4 + 4.\nAnswer: -288*sqrt(19) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -8347?\nAnswer: 8348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) 5 (c) -1\/2 (d) 7.9 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3763 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*d + 63, 15*d + 332 = 5*i + 12*d. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/55 - 252487\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1188 less than or equal to -1172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 345 + 284 - 62)*(149 + 18*u - 149 + 2 - 2*u - 2 + (-2*u + 2*u - u)*(-1 + 5 - 5)).\nAnswer: 10727*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190 - -1?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -26. Suppose i = -1, g*i + 1 = -2*p - 5. Let l(f) = -2*f**2 + f - 2. What is l(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 15, d + 4*d + 15 = 2*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7576, -17627, -27678, -37729, -47780, -57831?\n\"Answer: -10051*l + 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213814?\nAnswer: 2, 106907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15218 (base 10) in base 3?\nAnswer: -202212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26603\/28 + -3787\/4. What is the common denominator of 402\/(-132) + (-2)\/(-2) and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 115*r**2\/4.\nAnswer: r**2*(r + 115)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86201, 86160, 86115, 86066, 86013?\nAnswer: 85956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 16120258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742.0792 tonnes to kilograms.\nAnswer: 742079.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682*j**5 + 355*j**4 - 24*j**3 + 52*j**2 - 2*j - 2309005?\nAnswer: -100920*j**2 + 8520*j - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 + 2*t + 1. Let f be g(-1). Suppose -3*c - 4*z + 77 = f, 5*z - 20 = 5. What is the remainder when 55 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6*0)\/1. Solve -5*s - 35 + 10 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4837 divided by -24\nAnswer: 4837\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3403811492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4214333023 (base 5) to base 3.\nAnswer: -121110100021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-20)*60\/(-54). Factor d*b**4 + 0 + 16\/3*b**2 + 10\/3*b**3 + 8\/3*b.\nAnswer: 2*b*(b + 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from bqwdqdqqbdqqqdqqdwqq?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*l = -418, 6*v - 3*v - 1254 = -3*l. What is the remainder when v is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 6 = -8 - 19. Let t = -6 - -111\/19. Is t at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16694*j + 18039*j + 2 - 2 as w*j + f and give w.\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13138 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1395*v + 344570. What is x(-247)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23319*s**3 + 2*s**2 + 83*s - 12 wrt s?\nAnswer: -139914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:40 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/941, -39, 2, 0.1, 1\/5 in decreasing order.\nAnswer: 2, 1\/5, 0.1, 2\/941, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q + 117. Let u be j(-10). What is the second derivative of -69*r**2 + u*r + 102*r + 19*r wrt r?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-27)\/12)*-3. Let j be y - ((2 - -3) + -3). What is the second derivative of i - i + 3*i**3 + 4*i - j*i**3 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34317\/(-1988) + 8 + -3. Let c = x + 6\/497. Calculate the common denominator of -41\/56 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.42049l in millilitres?\nAnswer: 22420.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012 + 1942 = -196*u - 750 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 13. Suppose -4*u + 9*u = x - 9, 2*u = -5*x - 36. Let p be v(x). Suppose 2*z - 16 = 3*b - 1, -b = -3*z + p. Let c(y) = 3*y - 3. Give c(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.66 - 1.34. Is 2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1, 5819, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -876127 divided by -15\nAnswer: 876127\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13384440631870+-0.1\nAnswer: 13384440631869.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 58*u + 106. What is the units digit of z(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2139690?\nAnswer: -1\/427938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 45. Calculate the remainder when -11*(-1)\/v + 2\/4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmdd when four letters picked without replacement from mmmmmwpdmmddpdm.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713081266 - 8*y + 2*y + 713081266.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 15) to base 16.\nAnswer: f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*2)\/(sqrt(77)\/(sqrt(7)*1)) - (-2 + (1 + sqrt(98) - sqrt(98)) - sqrt(98))*-6.\nAnswer: -46*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -41*d**2 + 185*d + 87. Let w(v) = 8*v**2 - 37*v - 19. Let g(u) = 6*q(u) + 33*w(u). Determine l, given that g(l) = 0.\nAnswer: -5\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*f + h + 4*h, -f + 68 = 5*h. Let d(g) = -f + 25 + 28 + 7*g. Let b(p) = 23*p. What is d(b(z))?\nAnswer: 161*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h. Let y(p) be the third derivative of p**5\/20 + 27*p**2. Determine u(y(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.7153 to 1 decimal place.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17938433*f**4 + f**3 + 41117483*f**2 + 2?\nAnswer: -430522392*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 121017 (base 8) to base 5\nAnswer: 2311422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193107574 by 6.\nAnswer: 96553787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33654, 33635, 33624, 33621?\n\"Answer: 4*a**2 - 31*a + 33681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -34. Solve -z - 3 = 4*u, d*z - u + 6*u - 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/452056573?\nAnswer: -4\/452056573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7*57.263\nAnswer: 400.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7129 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 5. Give a(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 161, 380, 697, 1118, 1649, 2296?\n\"Answer: k**3 + 40*k**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 4*l + 23, 4*l = -5*m + 67. Suppose 2*o - 3*i - 46 + m = 0, -4*o = 3*i - 35. What is the lowest common multiple of o and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15494 divided by 254?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o - 13. Let j(w) = -41*w + 28. What is -6*j(c) - 13*x(c)?\nAnswer: -14*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26382 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3*q + 1370*p**3 + 416*q wrt q.\nAnswer: -2*p**3 + 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -37965\nAnswer: -2\/37965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53665886?\nAnswer: 2, 1129, 23767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -4*y - 0*y. Let b be (66\/(-44))\/((-6)\/y). Suppose 91 - b = p + k, 5*k = -2*p + 142. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2377 by -4827.\nAnswer: 2377\/4827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 19}. Give prob of sequence rf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 9*y + 12. Let h be r(8). Let a be 0\/(-2) - (0 - h). Suppose 0 = 3*v - 4*w - 59, -22 = -5*v - a*w + 23. Solve -4*b - 3 = v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d + 1. Let j = 7 - 6. Let p be l(j). Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = -p, 0 = -2*p - 4*l + 2*l - 6. Let a(w) = -43*w - 26. What is the hundreds digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*x + 315*x = 119*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1482 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927238999.\nAnswer: 7, 275319857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1018270 = -13*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*sqrt(3)*-2*1.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1087887.1 - 9.\nAnswer: 1087878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**1))**41*(b**(-1\/2)*b)\/(b\/((b*(b\/(b*b*(b*b**(-2\/23))\/b))\/b)\/b)) assuming b is positive.\nAnswer: b**(-1997\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/4 - 2*i**2 + 7*i - 4. Let j be 2 + -3 + (3 - -2). Let c(k) = -3*k**2 - 3. Determine j*c(t) - 3*h(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-88) - 1)\/((-36)\/7776) + 1*11\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2783 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 + -4. Let n = 4.4 + 8.5. Let f = n + -13.9. What is the closest to f in -2\/3, h, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012212524 (base 6) to base 7\nAnswer: -154660114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 11*u + 5. Let q(x) = x**2 + 5*x + 2. Give -3*k(s) + 7*q(s).\nAnswer: 4*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/6 + 21*d - 2. Let n(w) = -w**2 - 5*w**2 + 0*w**2. What is j(n(g))?\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 316. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227 + 507. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y - 4045 - 8562 + 5782 = 0 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(5*(-2)\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvdrrrrrvvrrrrrrrrr. What is prob of picking 2 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 0*p**3 + 5*p**3 + (-p + p - p)*(-p**2 - 4*p + 4*p) + 0*p**3 - 3*p**3 - 2*p**3 to o + m*p**3 + a*p**2 + c*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -2*p - 7\/6*p**3 - 1\/20*p**5 + 0 - 7\/12*p**4 + p**2. Give h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (336\/2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3*s**4 - 4*p**3*s + 6*p**3 + 15*p*s**5 + 2*s wrt s.\nAnswer: -72*p**3*s**2 + 300*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/302289 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145\/2 - 72. Let j = -8.2 + 8. Let f = -0.1 + 0.1. What is the nearest to f in x, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4620, -9250, -13884, -18522, -23164, -27810, -32460?\n\"Answer: -2*h**2 - 4624*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 - -157. What is the smallest value in w, -0.1, -3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155, -154, -153?\n\"Answer: a - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 2. Let s be (8\/6)\/(4\/12*-1). Let d be x(s). Let v be d\/(-8) - 9\/(-4). Solve 0 = -5*m + 5 - 0, 0 = 4*y - v*m - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3 + 594. Let b(c) = 7*c + 6. Determine b(v(o)).\nAnswer: -21*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (4\/2 - -2). Let r = y - -16. Let x = -4 + r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 972448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 21*a**2 + 74*a + 48. Let q be u(-24). Solve q = 3*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -117 - (-2119 + 2029)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - a**4 - 36*a + a**4 + 15*a**2 + a**4 - 13*a**2 + 1 to the form g*a + y*a**3 + s*a**2 + d*a**4 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56fa (base 16) to base 4.\nAnswer: -11123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 4.3. Suppose -2*p = 2*p + 5*g - 221, 5*p + 3*g - 273 = 0. Let l be (6\/(-16))\/(p\/(-24)). Which is the biggest value? (a) k (b) 5 (c) 0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1858*c**2 + 3108*c**2 + 1094*c**2 + 1)*(c**3 + 0*c**3 + c**3).\nAnswer: 12120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 9600 = 23*i. Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6902, -3 in increasing order.\nAnswer: -6902, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 8544.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1 (b) -14 (c) 1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + -6. Let o(l) = l**3 + 3*l**2 - 18*l - 36. Let v be o(-2). Which is the second biggest value? (a) -51 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**2 + 22*i**2 + 26*i**2 - 5*i + 11 - 548*i**4 - 59*i**2 wrt i?\nAnswer: -6576*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 54 - 14. Suppose -2*y + w = 2*y. Let -y*f - 4 + 6 - 2*f**4 + 4*f**3 - 2*f = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 567189 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 656310 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/4*71\/(-284).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18844537 to the power of 1\/2, to the nearest integer?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003425 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 - 22372*f - 187689894 = 0 for f.\nAnswer: -16779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**4 - r + 25*r**4 + 4*r**4)*(2*r - 2*r + r).\nAnswer: 53*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.717068 nanometers to centimeters.\nAnswer: 0.0000009717068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from xxittidtxxxxt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34485 is divided by 11495.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95\/4 in 0.3, 1\/4, -457\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*a + 344, 6*a - 7*a + 2*p = 99. Let y = -111 + 73. Let v = y - a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z - 4*y - 30, 4*z - 4*y + 23 = 7. Solve 251 - 257 = z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.99 (b) 0.1 (c) 10.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:47 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 263, 210?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 10 = -26. Let q(n) be the second derivative of n + 0*n**2 + 0*n**a + 1\/60*n**5 + 1\/36*n**4 + 0. Factor q(z).\nAnswer: z**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -80*t + 48. Let l be b(-16). Suppose -o = -2*o - 2*n + 329, 0 = 4*o - 4*n - l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b**2. Let h(r) = -18*r**2 - 1. Let a(m) = 4*h(m) - 5*k(m). Let f(t) = -4*t**2 + 1. Give -2*a(q) - 7*f(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 - 78*z - 32. Let a be n(-22). Let q = 588737\/23316 - 2\/5829. Calculate the common denominator of q and 1*(-526)\/a + -6 + 5.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240431*t**3 + 71 - 239875*t**3 + 72 wrt t?\nAnswer: 1668*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - 6) - -2) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 3*b**5 - 5*b**5 + (b + b**3 - b)*(-b + b - 3*b**2) - 57*b**5 - 23*b**5 + 25*b**5 + (b - 3 + 3)*(-3*b + 3*b + 2*b**4) - 5*b**5 + b**5 + 3*b**5.\nAnswer: -59*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.88622 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvck when four letters picked without replacement from {v: 2, l: 6, k: 6, u: 1, c: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdlkqwiwklliil. What is prob of sequence kdkd?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 12. Solve -3*m + g = -5*u - 0*m, -4*u - 4 = -2*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/18)\/((-632)\/1422)*4\/22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n. Let p(b) = -2*b**2 - 40*b + 53. Let l(u) = 3*d(u) - p(u). Is l(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(63\/2))\/(((-3)\/(-10))\/((-105)\/(-1050))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563890803 to the nearest integer?\nAnswer: 23746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = -3*w + 2, 0 = -3*w - 3*s - 15. Let o be 4 - 8\/(3 - w). Let g(d) = 2*d + 0*d + o*d - 3*d. Let z(q) = 2*q. Calculate z(g(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1398423 = 1398423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549348227 to the nearest integer?\nAnswer: 50491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 86.5 (b) 2\/67 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20 + 420\/(-600) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1011011?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1 + 1 + 11*r + 5 - 10*r. Let t be s(-3). Suppose 4*l - 9 = -1. Solve -l = t*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -633*l**3*w**3 - 8*l**3*w + 1860*l**2*w + 982*l*w**3 + 2*l wrt w.\nAnswer: -3798*l**3*w + 5892*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/903 or -1?\nAnswer: -2\/903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - c - 17. What is the tens digit of v(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/7)\/2)\/((-12)\/(-36))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*t**2 + 1 + 0 + 1 + 53*t**2 in the form s + l*t**2 + i*t and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/39)*v\/v**(-10)*(v\/(v\/(v*v*(v**(-3)*v)\/v)))**14 assuming v is positive.\nAnswer: v**(-115\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9031, -1051, -1\/2, -3.\nAnswer: -1051, -3, -1\/2, 9031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) 2\/7 (c) 2 (d) 0.01 (e) -1.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -111072, -106802, -102530, -98256, -93980?\n\"Answer: i**2 + 4267*i - 115340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 207354.\nAnswer: 1866186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1690.08\nAnswer: 338.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 8. Let b be h(-10). Let z be (-4)\/(-3) - 12\/b. Solve 0 = z*t - 4*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -969 - -984. Solve -7*a - 29 + z = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-396)\/(-3)*1\/(-2). Is (-10218)\/s + 4\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -191565*u + 1724112. Give h(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*0\/19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 5, p: 3}. Give prob of picking 1 e and 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 10*a + 13. What is the units digit of p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9 = 1, 0 = -4*b - 4*d - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 113*j + 146. What is y(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11173350*r. Let v(n) = n**2. What is v(i(b))?\nAnswer: 124843750222500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - r + 2*r + (1 + r - 1)*(1 + 3 + 0) to m + d*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 23366\/543?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbpbpbbpbbbbbbppb. What is prob of picking 2 b and 2 p?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 32*k + 10. Let a(y) = y + 1. Determine 10*a(t) - j(t).\nAnswer: 2*t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-3 - 1*((sqrt(52) - sqrt(13))**2 + sqrt(13)).\nAnswer: -13*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 21981. Let o(m) = 4*m. Give w(o(t)).\nAnswer: -4*t - 21981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 7, o: 2}. What is prob of picking 1 a and 3 f?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -118. Let j = -72.0000063 - h. What is j rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1. Let o be c(-2). Suppose -o*y + 2 = -4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20984235 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-19 + 0\/2)\/(15\/(-19 + -13991))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 2*q + 107 + 132 + 8*q - 10*q to the form u + m*q and give u.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -2 + (-101 - -96)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0 - 2*l + 3 - 2. What are the prime factors of x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 264a36 - 4?\nAnswer: 264a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5406\/27 + -1 + 21\/27. Suppose -i = 72 - v. Let a = i - -5. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 14*i**2 - 12*i - 9. Let n be p(13). Suppose 27000000 = -a - n*a. What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112209384?\nAnswer: 2, 3, 7, 17, 101, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 2. Suppose -2*a - 20 = -4*d, d + 3*a + 1 = 2*a. Let q be -6*(-2)\/(-9)*d. What is the units digit of y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 84 = -2*i. Solve -i*b + 2 - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - 2)*(3 - 3 - 2*l) - 2*l + 0 + 0 + l - 7 + 7)*(-l**3 + 4*l**3 - 2*l**3) as r*l**2 + w*l**3 + g*l + i + q*l**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2. Let w(t) be the first derivative of t**3\/3 + 89*t**2\/2 + 574. Calculate w(c(z)).\nAnswer: 25*z**4 + 445*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -36*u - 71. Is z(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6860857 - -148?\nAnswer: -6860708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22783527, -45567053, -68350579, -91134105, -113917631, -136701157?\n\"Answer: -22783526*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -82062 (base 10) to base 16\nAnswer: -1408e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117108 and -0.4?\nAnswer: 46843.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 14*x**2 + 6*x**2)*(-18*x**2 - 14*x**2 - x + 33*x**2).\nAnswer: -13*x**4 + 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 183*h**5\/10 + h**4\/12 - h**3\/6 + 2*h. Let r be v(1). Let n = r + 169. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(85)*-3)\/(sqrt(5) - (sqrt(25)\/(sqrt(245) + sqrt(5)) + sqrt(5) - sqrt(5))).\nAnswer: -96*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 1.9. Let v = -8 - -4. Sort v, p, -0.5.\nAnswer: v, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + i**2 - 4*i + (-1 + i + 3 + 1)*(0*i + 0*i - 2*i + (-2 + 0 + 1)*(i + i - 9*i))*(-7 + 2 + 1).\nAnswer: -19*i**2 - 60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*c = -q + 9, 5*q = 2*c - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16467 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13*0.687\nAnswer: 8.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*a - 11 = 4, a + 30 = 5*s. Suppose -s*z = -11*z + 203472. Suppose -4*u + z = 3*d, 2*d - u = -5*u + 22612. What is d rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9707 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 5. Suppose -4*s + 0*s - 28 = 0. Determine n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24255102 to the nearest integer?\nAnswer: 4925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 7. Let h be 3\/(152\/12 - 13). What is f(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**6\/15 + 78*k**5\/5 + 7*k**4\/12 - 13*k**3 + 747*k. Find the third derivative of i(c) wrt c.\nAnswer: -48*c + 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-26)\/12 + (-114)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 2. Suppose -q = -2, 5*q = 4*s + 3 - 9. Let v(i) = 4*i - 9. Suppose 0*d = -4*d - 64. Let h = 34 + d. Calculate h*n(r) + s*v(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -31*t. Let l(m) = -4*m. Let o(j) = -10*j. Let x(c) = 10*l(c) - 6*o(c). Give z(x(w)).\nAnswer: -620*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-7 + 4 + 13)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose 5*o - 14 = -x + 3, -4*x + 3*o + 22 = h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 1313 - 1319. Solve -4*b - 5*s - 35 = 0, -2*b - r*s = 2*s + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + p + 1 - 3*p + (-3 + 1 + 1)*(159*p + 19*p + 13*p) as y + g*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghehhhbhx. Give prob of picking 1 g and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/f**(-6))\/f**(-5))\/((f*f**(-1\/5))\/f*f**(-3)\/f) assuming f is positive.\nAnswer: f**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -11, 0.6, -0.067 in decreasing order.\nAnswer: 5, 4, 0.6, -0.067, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.22, 0.846996 in increasing order.\nAnswer: -0.22, 0, 0.846996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -49. Suppose 0 = -3*z - 3*k + 201, -4*k + n = -9*k. Let g = 73 - z. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 + -6564\/17. Let g(v) = -6*v + 2*v + 2*v + 3. Let f be g(2). Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334\/143 - 28\/13. Let s = 3\/77 - m. Suppose 7*q - 3 = 4*q. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 20 - 8. Suppose 0 = -11*y + r*y + 20. Suppose 2*v - 80 = -4*x, 5*v - y*x - 133 = 67. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.34 + -34.28. Let s = k + -2.46. Let w = 20.578 + s. Round w to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*p - 29, -31 = -3*p - 16 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6160\/32)\/(-35))\/(((-66)\/(-12))\/11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*o + 194, o = -2*l + 37 + 25. Solve l*i = -71 - 65 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -1\/3, -23.77, -520 in descending order.\nAnswer: -1\/3, -3\/8, -23.77, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1041, 2\/11, -639 in ascending order.\nAnswer: -639, 2\/11, 1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/405 - -824\/2835. Suppose -6 = -2*f - 3*h, 3*f - h - 9 - 11 = 0. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let l(d) = -3*d - 20. Calculate l(i(z)).\nAnswer: -3*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17583.\nAnswer: 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - -35. What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d - 16. Let t be s(-6). Solve 0 = 3*n - n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 720, -1, 99 in descending order.\nAnswer: 720, 99, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541546 (base 7) to base 4.\nAnswer: -113000311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -13*m + 20. Let f be (18180\/24)\/(m\/20). Round f to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*q*y**4 + 2*q*y**3 - q*y**2 + 4*q - y**4 - 8 wrt y.\nAnswer: 312*q*y + 12*q - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*i + 5*i + v, -5*i + 2*v + 48 = 0. Suppose o + i = 3*m, 0 = -4*m + 2*m - 3*o + 9. Suppose -100 = -r - m*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*c - 21 - 4, 5*v = 2*c + 152. Suppose -4*o - 2*n = -v, -2*n = -o - 5*n + 5. Calculate the smallest common multiple of o and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/4 + 67603*z**2\/4 - 236635*z\/2 = 0. Calculate z.\nAnswer: -67610, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*n - 28*n**2 - 79*n - 3*n**2.\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a6 (base 14) in base 5?\nAnswer: -244413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -128.36. Let g = r - 1.36. Which is the biggest value? (a) -3 (b) 2\/11 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32597?\nAnswer: 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 60 = -4*s + i, 0 = -3*i - 3. Let t be (s\/(-7))\/(-4) - 1. Is -1 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 38, 60, 80?\n\"Answer: -w**2 + 27*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w + (-2*w + 3*w - 3*w)*(-3 - 1 + 2) - 2*w - 1 + 1 + 2*w - 7*w - w)*(-1 + 1 - 2*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(0\/5 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364.916nm in micrometers?\nAnswer: 3.364916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 1. Let c be w(1). Suppose 3*s - 523335 = -2*v - c*s, 5*v - 1308347 = -3*s. Suppose -j + 248330 = -v. Round j to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 17*i**6\/60 + 19*i**5\/30 + i**4\/6 + 33*i**2\/2 + i + 25. Let p(q) be the first derivative of w(q). Solve p(h) = 0.\nAnswer: -1, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27 - (4 + 52\/(-9)). Suppose -55 = -r*z + 375. Find the second derivative of -120*m**4 + z*m**4 - 119*m**4 - 26*m wrt m.\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w**2 + 36*w**2 - 112*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 2. Let l(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 3*f - 2. Let t be l(8). Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117552 (base 9) to base 16.\nAnswer: 115fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*s + 793 = s, 0 = -5*h - 4*s + 940. Suppose 40 = -h*l + 194*l. Calculate the highest common factor of 200 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (31\/(-2) + 1)*(-14 - -20). Let s = j - -88. Solve -9 + s = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -0.2, -0.07.\nAnswer: -1, -0.2, -0.07, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/34)*v)\/v**(4\/25))**(-7) assuming v is positive.\nAnswer: v**(-4473\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 + (10 - 23 - -25) - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/6*(-18)\/12. Let a(h) = 7*h**3 + h**2 + 6*h - 5. Let w(f) = 3*f**3 + f**2 + 3*f - 3. Let y(o) = -4*a(o) + 9*w(o). List the prime factors of y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-393)\/(-12))\/((-12)\/694). Let g = 1895 + s. Find the common denominator of g and ((-7141)\/(-444) + -24)*(-4)\/45.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3868639, -3868633, -3868627, -3868621, -3868615, -3868609?\nAnswer: -3868603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 0.24. Put -0.4, -0.1, i in descending order.\nAnswer: i, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -34*s**3 + 5*s**2 - 6*s + 8. Let f be r(3). Let t = f + 883. Let w(c) = c**3 - 3*c**2 + 4. Let u be w(3). Solve a + t = u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 51 = -7. Suppose 14*i = 15*i - r. What is the remainder when 3\/(-2) + 671\/i is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28384594 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3628, -3699, -3802, -3943, -4128?\n\"Answer: -b**3 - 10*b**2 - 34*b - 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201337 times 1.9\nAnswer: 382540.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 2. Let u = 5 - 7. Let t be (u - 1 - -1)\/(-1). Calculate h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01 or 689?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 7*q - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -4\/639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = 0, -63*u + 67*u - 4*h = 71588. What is u rounded to the nearest 100?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -14*q. Let t(k) be the first derivative of -4\/3*k**3 + 4 - 3\/2*k**2 + q*k. What is the second derivative of t(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 + 4471?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4136\/(-235) + 35 + ((-3)\/(-5) - 1). Let u(q) = -2*q + 61. Calculate u(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4527305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + sqrt(136)*-1*-4 - 2*1*sqrt(136))*-4)\/(((2*sqrt(72))\/sqrt(3))\/(sqrt(3) - (sqrt(3) - sqrt(192)\/sqrt(4)))))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsmmsmsssssssmmsss. What is prob of picking 2 s?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 0, -z + 309 - 2053 = 5*n. Let m = n - -487. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 2227*l**2\/2 + 5578*l - 4464.\nAnswer: -(l - 4)*(l - 1)*(l + 2232)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 - 3*y**3 + 11*y**2 - 5*y**2 + 28*y - 13*y.\nAnswer: -3*(y - 3)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000166 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 17*y + 19*y - 35*y)*(2*y**3 + 0*y**3 - y**3) to the form t*y**3 + i*y**4 + u*y**2 + h*y + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 7*x - x**3 - 7*x - 5 - 1 to d*x**2 + h*x + f + z*x**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:30 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*3)\/(sqrt(10) - (sqrt(100)\/(sqrt(1000) - sqrt(10)) - sqrt(10))).\nAnswer: 54*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 417*p**3 - 8814*p**2 = 0. Calculate p.\nAnswer: -113, -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1881 - -2001. Calculate the greatest common factor of i and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -100, 620, 2602, 6482, 12896, 22480, 35870, 53702?\n\"Answer: 106*b**3 - 5*b**2 - 7*b - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 1462 - 437. Suppose 69*r = 74*r - l. What is the highest common divisor of r and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28525003?\nAnswer: 13, 61, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 3*a - 1. Give p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -404\/7 (b) 1\/3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5944 divided by -2972?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -33.19?\nAnswer: -33.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 482, 1723, 2962, 4199, 5434, 6667?\n\"Answer: -c**2 + 1244*c - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*i - 19, 20*d - 23*d = -5*i + 46. Solve -i*j + l - 8 = -10*j, -3*j - 29 = -4*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101100101?\nAnswer: -101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + 1) - (-81 + 74) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5 + 3 + 3*j + 6 - 1. Suppose 5*c = 2*c + 6. Calculate the smallest common multiple of l(c) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3935540.\nAnswer: -1\/787108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m - 17. Let j be (3 + 2)*(-3 - -2). What is the tens digit of o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 4 - (7 + (2 - 2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14763 and 19684.\nAnswer: 59052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3924 and 57879.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/112788 and 52\/723?\nAnswer: 112788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-297))\/5*36*22\/1320?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2842)\/(-2436)*(-11)\/(-77))\/((-2)\/(-1140))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0 = -2, 3*w + 3*d + 276 = 0. Let r be -2*((-4)\/14 + w\/42). Suppose 0 = j + 2*j - 12. Sort 1, j, -2, r in increasing order.\nAnswer: -2, 1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25 - 2*c + 6*c - 2*c. Let b(f) be the second derivative of -f**4\/6 + 44*f + 549. Give b(z(g)).\nAnswer: -8*g**2 + 200*g - 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/((-14)\/21). Sort 0.2, i, -0.3, -7\/3 in ascending order.\nAnswer: i, -7\/3, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 10 + 4. Let p = 5 - v. Let x = p + -6. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 9676686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 132*b**3 - 14*b**2 + 58*b - 17. Let q(o) = 43*o**3 - 5*o**2 + 19*o - 6. Let j(z) = 6*k(z) - 17*q(z). Find the third derivative of j(p) wrt p.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v + 8*v = -52 - 124 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*q - 18, 2*l + 406*q - 13 = 403*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 384?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.960496 tonnes in milligrams?\nAnswer: 5960496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 888.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146566\/7581*(-12)\/(-8)*2\/1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(162) - (1*sqrt(162) + sqrt(162))))*5)**2 + -6*(-2*sqrt(200) + 1 - sqrt(200))**2.\nAnswer: -6356 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 + q**3\/6 - q**2. Let m be -9 + (-9)\/((-81)\/90). Let s(p) = -4*p**3 - 5*p - 5. Give m*s(l) + 5*x(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:29 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 7 + 5, 4*p - 4*n - 96 = 0. What is the remainder when p is divided by -5*(-2)\/10 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 29 = -3*s, 3*s + s + 3*z - 24 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 12*y**2 - 11*y + 12. Let n be r(11). Let w(a) = -a + 14. Let f be w(n). Let u be f\/8 + (-8)\/32. Solve u*s - 5*s + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.156358805 to one decimal place.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -s + 47, 41*t - 90 = -4*s + 36*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(12\/(-28))*(-132)\/(-154)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:00 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 10, b: 3, n: 1, t: 2, m: 2}. What is prob of sequence mbt?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 + 468. Which is the smallest value? (a) l (b) -1\/3169 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -18. Let d = 14140 + -14137. Sort 4, x, d in ascending order.\nAnswer: d, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032356 rounded to the nearest 10000?\nAnswer: 4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24770 divided by 4954?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:31 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6990600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 87299142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + 3790*f + 18980. Calculate z(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85749*d - 86071*d + 18998 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -909 + 1197. What is the highest common factor of s and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2)*q)**42\/(q\/((q**(-6)*q*q)\/q)*q**3)*((q**1*q)**(-1\/4))**(-48) assuming q is positive.\nAnswer: q**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*b + 132, -k + 117 + 47 = 4*b. Sort 5, b, -5, 2.\nAnswer: -5, 2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -35*f**3\/3 - 69*f**2\/2 + 3262*f - 5235. Differentiate q(s) wrt s.\nAnswer: -70*s - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381208.\nAnswer: 2, 17, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*z - 2*z - 43, -2*o = z - 19. Let a(f) = 13 + 6*f**3 - 3 - 2*f**3 - 6*f**2 - 3*f**3 - 13*f. Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 76*j = 24*j - 184 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -698, -142 in ascending order.\nAnswer: -698, -142, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210\/55 + 2\/11. Let i = 0 + o. What is the tens digit of 49\/i + 15\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 898 = -4*l, 2*n = -6*l + 4*l + 1806. Calculate the greatest common divisor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-34 - 7)) + -29\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/6715? (a) -15\/7 (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 68 = 32*u + 19*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*s + 10, 0 = 3*s - 3. Is 55 a factor of p\/10 + (-3924)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*3050\/9200*8?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-112))\/((-5)\/(-20))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 6*r**5\/5 + 396*r**4\/5 + 6534*r**3\/5 = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 11. Let i = -1 + m. Let k = -439\/60 - -113\/20. What is the closest to i in k, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/((-3)\/(54\/(-24))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/40? (a) 5 (b) 3 (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*x - 174*x - 95*x + 22*x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99384*-1.56.\nAnswer: 155039.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*z = -171*z + 322 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (3 + 0)) + -48 + 14 + 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 142 - 5*h**3 - 142.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 127 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1432271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30601754 by -5.\nAnswer: -30601754\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**4 + 3706505*t**2 - 347507*t - 609 wrt t.\nAnswer: 36*t**2 + 7413010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*b + 28079, 2*b + 26532 + 29662 = 2*x. Suppose -x = -6*l - 1892. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70.718 and -4434.64678?\nAnswer: 4363.92878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2\/365 (b) 5 (c) -0.6 (d) -25 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-10)*g)\/g)\/g)\/g*g\/(g**(-3\/5)\/g) assuming g is positive.\nAnswer: g**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/2 - 2*z**2 + 4*z. Let h be n(4). Solve -h*j = -3*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -115*t**2 + 1200*t - 1166. Differentiate h(c) wrt c.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/10 (b) 1 (c) -4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 2*c)*(2*c**2 + 2*c - 2*c + (-2 - 2*c + 2)*(c - 2*c - c) - 2*c - 2*c**2 + 2*c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24480 and 5440?\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 13.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83\/3*l**2 + 1\/3*l - 27*l**4 + 163\/3*l**3 + 0.\nAnswer: -l*(l - 1)**2*(81*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 828, 1613, 2366, 3087, 3776?\n\"Answer: -16*f**2 + 833*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023 and 99079937?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18505130 - 3?\nAnswer: -18505133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/(-10) - (-3)\/5. Let l(g) = -g**2 + 8*g - 3. Let q be l(a). Solve 0 = q*k + 2*x + 10, 0*k + 2*x = -2*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810\/540*(-14)\/(-3) + 1 + 158\/(-18).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38100 + 38071. Suppose -4*n = -2*c - 10, 3*c = -0*n + n + 10. Suppose -2*v + 50 = -4*v + c*q, -3*q - 66 = 2*v. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/17037130 and -43\/187.\nAnswer: 289631210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6 - 10*p**2 + 18*p**2 + 2*p - 7. Let s be 6\/42 + (-72)\/14. Let g(w) = w + 6. Let u be g(s). Determine h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - q - 2*q. Let c(m) = -105 - 101 - 2*m**2 - 106 + 400 - 99. Calculate c(b(z)).\nAnswer: -2*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13104.8 - 13106. Which is the biggest value? (a) 14 (b) -1\/11 (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23088 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(9 - (-760)\/(-85))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2) + ((-2)\/2 - 1). What are the prime factors of (-26)\/39 + i\/(-3)*-23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*q = 2*v - 6, 0 = -5*q - 5*v + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 209 = 10*v. Solve 5*i + v = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p)*((3 - 4 + 0)*(1 - 1 + 2*p) + 3*p - p - 3*p - 5*p + 2*p + 2*p + 2*p + 2*p - 3*p + 1 - 1 + p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34861*k - 35103*k = -2904. Let m(g) = -23*g - 2. Calculate the smallest common multiple of m(-2) and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/337615677 or 1?\nAnswer: -2\/337615677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122253774 and 1454.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 4*t**2 + 6*t + 0*t. Let f(s) = -2*s + 3. Let v be f(4). Let i(c) = c + 70 - 2*c**2 - 70. Calculate v*i(r) + 3*d(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -413 (c) -0.06 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 117 - -13?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -160?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccbccccccccccccccccc?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. What is the derivative of -3*j**3 + 1 - 5 + v wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 + 4.78. Which is the nearest to 0? (a) 0 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 385?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -155*s**3\/3 + 183*s**2 + 472. What is the second derivative of f(m) wrt m?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 1. Let m = 7 - -104. Let j = -115 + m. Calculate y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6))**(-3\/23)\/(t**(-21)*t*t)**(-19\/6))**(-2\/19) assuming t is positive.\nAnswer: t**(8195\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 14, h: 4}. Give prob of picking 1 u and 3 h.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:58 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2720258, 10881066, 24482414, 43524302, 68006730?\nAnswer: 97929698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k - 2254 + 2254 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 215475842 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2597 + -2577. Solve 7*r + m + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 4*a + 0 + 0*a**2 + 1\/90*a**5 - 1\/27*a**3 - 1\/54*a**4 + 1\/135*a**6. Factor p(q).\nAnswer: 2*q*(q - 1)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*v - 5, -3*v - 3 = -2*l - 0. Suppose 9 = 27*s - 24*s, -3*s = 5*p - 29. Solve -p*q = -l*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2656 and 37536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) + -1 + -2 + sqrt(300) + (sqrt(300)*1 - sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300)) + -5 + -3)**2.\nAnswer: 418*sqrt(3) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 - 356. Let j be ((-27)\/(-15))\/((-38)\/3420). Let i = l - j. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0, 0.13, 16?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/12520564 and 29\/247709?\nAnswer: 137726204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 48641 = -5*h, c - 19946 = -3*h + 4413. Is 86 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 297\/5, 1\/3, -0.4, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/210*1\/3.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208317998 and 7924.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 14. Let t be (-2 - 3) + n\/(-2). Let b be (1\/t)\/((-2)\/42). Solve 2*m - b = 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 3032?\nAnswer: 12128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*s + 251, -3*s - 61 = 6*h - 7*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c + 336 = 35 - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 10. Let n be i(10). Let x be 0\/((-4)\/8*-2). Suppose 3*g + z + 2 = x, 7*g - 2*z = 4*g + 13. Sort 2, n, g in increasing order.\nAnswer: n, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -256\/3. Let u = 0.04 + -14.54. Let x = u - -15. Which is the nearest to -3? (a) -0.5 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0442*-1026.\nAnswer: -45.3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + 18. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 4}. Give prob of sequence cccy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/30 + (-1589)\/(-105). Solve -w - 2*w - v = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*n = 12, -6*g = -g - 4*n + 51. Let r = g - -3. Let y be 3 - r*3\/6. Is 4 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:02 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -3) + (-4 - 0). Suppose -b - j + 1520 = q, -5*b + 11566 - 3950 = -3*j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.7664 - -46.7664. Let s(v) = -v**3 - 6*v**2 - 7*v - 7. Let f be s(-5). Which is the nearest to 2? (a) -4 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -290*h**2 + 4101*h - 568. What is l(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Suppose 2*j + 3 = -p, -3*j = -m + 124. Suppose 3*h = m - 34. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 588\/40 - 804\/4020?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36284 divided by 193\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -691 - -720. Let p = 0.7 + 22.3. Let y = p - m. Which is the second smallest value? (a) y (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxca when four letters picked without replacement from mhhxhahchaxh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*(0 - 0). Suppose 3*n - 4*l - 9 = u, -5*l - 10 = -4*n + 2. Let v = -10 + 7. What is the biggest value in n, 2\/11, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.118 + -1.118. What is the closest to 0.2 in -7\/9, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(-2)\/(-6). Let m = 2.15 + -0.15. Let c be (-1 - 2) + (-6)\/(-3). What is the nearest to -1 in o, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004671752 to 6 decimal places.\nAnswer: -0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1004 (b) -5\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/7 - 4738185*z**3 + 99501903*z**2\/7 - 99501909*z\/7 + 33167304\/7.\nAnswer: -3*(z - 1)**3*(z + 11055768)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(450\/152)*3*(-1140)\/152.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -162. Let i = k + -86. Is i + 18 + (736\/2)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-26) + (-126)\/(-546).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3260 and 80?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -3*d - 30, 0 = -3*i + d - 10. Let y(n) = 2*n**3 - 7*n + 6. Let a(u) = 2*u**3 - 6*u + 5. What is i*y(x) + 6*a(x)?\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -i + 5, -5*o + 5 = 3*i. Let g be -3 + (-39)\/9*-3. Suppose 4*m - g = i. Sort 0, -5, m.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, 16, 0.\nAnswer: -2, 0, 16, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**6)\/i**(-2\/11))\/(((i\/(i\/i**0))\/i*i*i)\/i)**(-1\/29) assuming i is positive.\nAnswer: i**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q + 387 - 4097. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2 + (-2)\/6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z + 22*z - 46*z + 12*z - 3*z**2 + 191 to y*z + a*z**2 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65937.\nAnswer: 3, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1539)*-2 + sqrt(1539) + 4*(sqrt(19) + -2*1*sqrt(19)).\nAnswer: 41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 3*q + 10. Let s be y(5). Suppose 2*d - 3 + 9 = 0. Let i be s - d - 16\/5. What is the second smallest value in 2, 0.6, i?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n + (n + n - 4*n)*(0 + 3 - 1) - n + 5*n - n)*((-1 + 4 - 2)*(-4 - 2 + 4) + 0 + 2 - 3).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a - 3*a + (3 - 3 + 55*a)*(28 - 6 + 13).\nAnswer: 1923*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261726 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: Suppose -m = 3*o - 11, 4*m - 12 = -8*o + 4*o. Is m >= 5\/186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -60*a**5 + 1504*a**4 + 31316*a**3 + 57880*a**2 + 28128*a = 0.\nAnswer: -12, -1, 0, 586\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 1205. Suppose 11*j - z = 4*j. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 - 2*n. Let r be m(-4). Let u be ((-2)\/(-4))\/(4\/r). Let v be (0\/u)\/(1 + -3). What is the closest to 0 in 3\/7, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from {q: 1, f: 4, v: 4, l: 1, p: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 823\/2 - 412. Which is the third biggest value? (a) -67 (b) -0.2 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j*j)**(-41)*j**8*(j\/j**(-5)*j)\/j assuming j is positive.\nAnswer: j**(-109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 9*l**4\/8 - 54*l**2 - 2. Let t(b) = 77*b. Give t(w(m)).\nAnswer: 2079*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-5\/2)*q))\/q)\/(((q\/((q*(q*q\/q**(11\/4)*q)\/q)\/q))\/q)\/q)*q*((q**27*q)\/q)\/q*q*q*q*(q\/(q**(-10\/7)*q)*q)\/q assuming q is positive.\nAnswer: q**(929\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - 4*z)*(3 + 2 - 3) + 3*z - 2*z - 3*z - 18 + 30 - 3*z - 157.\nAnswer: -9*z - 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11.5 (b) -1\/5 (c) 0 (d) 169\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-30) - -2)\/((-87)\/(-58))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 27*f - 88. Let a be v(-4). Suppose d - 6*d = -a*c + 1125, 5*c = 4*d + 1404. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.1. Let j = -0.503 + 0.103. Which is the fourth smallest value? (a) s (b) 4 (c) j (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2812, 2791, 2770?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {f: 10, c: 2, d: 4, j: 3}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7241, 14481, 21721?\n\"Answer: 7240*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-9))\/((((-27)\/(-30))\/9)\/((-15)\/25))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -0.16, 3\/2, 3, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = -8, 0 = -3*c - 4*i + 32. Suppose c = 2*v - 132. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8067 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 - 3*q. Let g be 8 + -5 - (0 + 4). Let f = g - 11. Let o be (-38)\/(-8) - (-9)\/f. Let y(n) = -n**2 - n. Calculate o*y(d) - u(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -413*b + 182*b + 25*b - 456*b as h + n*b and give n.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98749111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489832 is divided by 539.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3475*i**2 - 23*i. Let y(q) = 6*q**2. What is s(y(h))?\nAnswer: 125100*h**4 - 138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5566332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 + 6085*i - 6085*i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 32*q - 41*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + q - 1, 5*q - 3 = -5*c + 2. Suppose c = 3*z - z - 10. Suppose -a - 48 = -z*a. What is the lowest common multiple of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2769*n**6 - n**5 - 26*n**3 + 95306*n**2 - 4*n wrt n.\nAnswer: -332280*n**3 - 60*n**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 2*w**3 - 62*w**2 + 0*w + 1\/2*w**4 + 119. What is the second derivative of d(q) wrt q?\nAnswer: 12*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 4*u**2 + 6*u - 7. Give d(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -22*m + 21. Let f be g(-4). Let i = 54 + f. List the prime factors of i.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/5, 3, 0, 2\/35477, -4, 5\/6, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 146. Let f be 536\/(((-18)\/y)\/(1\/(-2))). Which is smaller: f or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27933 and 33?\nAnswer: 307263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15885*i**3*r**4 - i**3*r**2 + 1991*i**3 - 4*i**2*r**4 wrt r.\nAnswer: -381240*i**3*r - 96*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3276 and 28497?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 8*y**2 + 6*y + 653. Calculate r(0).\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**(-4)\/r))*r\/r**3)\/(r**3\/(r\/(r*r**(-2\/3)))))\/(r**(-2\/5)\/r**(-8))**33 assuming r is positive.\nAnswer: r**(-3887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let g(r) = -r**2 - 11*r + 11. What is 2*g(q) + 22*o(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 424*w**2 - 420*w + 427*w**2 - 853*w**2 + 85*w as a*w**2 + r*w**3 + f + t*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - a + 0)*(0 + 0 - a**2) + (3*a + 3*a - 4*a)*(0*a**2 + 0*a**2 - 4*a**2))*(7 + 4 + 0).\nAnswer: -77*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.107 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 17*t**2 - 33*t - 30. Let q be p(-15). Suppose -q*r + 5982 - 447 = 0. Is r a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-3) + 5)\/2. Solve q*d = -4*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 63*a - 882. Let u be y(21). Solve r - 6 = 3*b, -2 = 2*r - u*r + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 0, -6, -5, 2, -4 in decreasing order.\nAnswer: 6, 2, 0, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s + 27. Let n be q(13). Put n, -28, 4, -5 in increasing order.\nAnswer: -28, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2941 - -2948. Solve -x*p = -504 + 532 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -37*b - 4. Let f(j) = 38*j + 5. Let r(a) = 7*d(a) + 6*f(a). Let m(i) = -10*i + 1. Let h(g) = -8*m(g) + 3*r(g). Does 6 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 - 1 = 0. Let l be (-22)\/(-8) + i\/4. Suppose -2*n - 2*n + 46 = -2*m, -l*n - 3*m + 30 = 0. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from jjjjjjjjjjjjjjjnjjjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 3. Let t be (-14 - s)*2*5. Round t to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 411 + 5479. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: c456cc (base 16) to base 14\nAnswer: 19cd352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - (sqrt(210) + sqrt(210)*-2))\/sqrt(7))\/(sqrt(66)\/(2*sqrt(11))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1359769812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*c + 8. Sort 2, c, -1, 26.\nAnswer: -1, c, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7218*p**2 + 2406*p. Let d(l) = -l**3 - 3*l**2 + l. Calculate -2406*d(i) + z(i).\nAnswer: 2406*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/23 + 2*a**3 + 100*a**2\/23.\nAnswer: -2*a**2*(a - 25)*(a + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5356c (base 14) to base 12\nAnswer: -98664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**8\/560 - 3*b**7\/350 + b**6\/200 + 7*b**5\/100 - 2*b**3\/5 + 43*b**2. Find r such that s(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 7992.\nAnswer: 7\/2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 62 = -i. Let a = 71 - i. Let j = -197 + a. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i**2 - 14*i - 23. Let m(a) = 7*a**2 - 5*a - 8. Let t be (68\/10)\/(2\/5). Let c be 1*-2*6\/2. Give c*f(z) + t*m(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + 137. Let d(p) = 243 + 6*p - t. Let x(i) = -4*i**2. Determine d(x(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m + 23. Calculate x(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3941 - 4.6059. Suppose -10 = 3*n - n - 2*r, 0 = 5*n - 3*r + 23. What is the nearest to 7 in p, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/9 - 4106*k**4 - 18985104*k**3 - 170533488*k**2 + 443232*k + 2046402144 = 0.\nAnswer: -9234, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(576\/(-376)) - 5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33918968 and 67837936?\nAnswer: 67837936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 + 3*j - 3. Let d be k(2). Let q be ((-2)\/6)\/d*0. Solve q*f + 1 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) + 2)*-6 - sqrt(425) - -6*(sqrt(425) + sqrt(425) + 1)) + 2)**2.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 1923 + 311 = 0 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2887774 and 1.3.\nAnswer: 3754106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z - 2858 + 4076 = 0. Let o = 100 + -44. Calculate the lowest common multiple of z and o.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 11*h - 7. Let p be m(4). Solve 0 = 2*j - 3*j - p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.13 + -1.33. Which is the smallest value? (a) -5 (b) 0.6 (c) j (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23276?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -119*z - 1819. Give t(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -67. Which is the biggest value? (a) -2 (b) n (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916 = 85*p + 231 - 760 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/30 + y**4\/2 - 11*y**2. Find the second derivative of a(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*k**3*p**3 - 11*k**3*p + 31*k**3 - k**2 + 2*k*p**4 - 8*p**4 + 2*p**2 wrt p?\nAnswer: 72*k**3 + 48*k*p - 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -188900000 rounded to the nearest 1000000?\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-660)\/(-77))\/(-3))\/(((-90)\/(-63))\/10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 2*y**2 + 2*y - 3. Let u be f(2). Let w(g) = -u - 2*g**2 - 1 + 4 - g**3 + 0*g**3. List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -0.4. Which is the smallest value? (a) 1\/11 (b) x (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*j + 16. List the prime factors of 1564\/j - ((-45)\/(-39) - 1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303820.2 micrograms in nanograms?\nAnswer: 303820200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = -4*q, -5*q + 3*m = 9 + 10. What is the nearest to 0 in q, -4, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37486, 37484, 37482, 37480?\n\"Answer: -2*u + 37488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 396*j**2 - 6088*j - 137. Determine k(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + j**3 + j**4 + 5 + 10*j**2 - 8*j**2 + j to the form z*j + l*j**2 + m*j**3 + c*j**4 + p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16.98163 and -0.1.\nAnswer: -17.08163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299.999 + -300. Let s = c - 0.199. What is the closest to 1 in -5, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -10\/2421?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*r - 4*k, 5*r = 11*k - 6*k + 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -31*i. Let t(g) = -3*g. Let v(l) = -j(l) + 10*t(l). Let b = -5 + 8. Let m(h) = -3 + 12*h**2 + b. Give m(v(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u - 2494304 = 0. Let r(a) = -24 - 469375*a + 17 + u*a. Let k be r(-9). What is k rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 + 17*h + 12.\nAnswer: (h + 12)*(4*h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12 + 2*p**3 - 20 - p**3 - 6*p**2 + 7*p. Is k(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from essekyeel. What is prob of sequence ysse?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4514182883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 901321, 901318, 901315, 901312, 901309, 901306?\nAnswer: 901303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -38\nAnswer: -41\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11605, -22731, -33857?\n\"Answer: -11126*k - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(16\/(576\/(-54)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87200 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -267 - -256.4. Let g = d - -9.6. Let r = 7.3 - -0.7. What is the closest to 0.1 in g, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 288677.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 2\/27, -0.3, 5, -2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/224297985 and -59\/474.\nAnswer: 448595970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8742.261 litres?\nAnswer: 8742261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 18. Let k = 14 + -5. Solve 4*g + 3 = -h, -r*h + k*h = 5*g + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 4. Let n be x(6). Which is the closest to 3? (a) 0 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/10)\/(1\/(20\/8)). Which is the third biggest value? (a) i (b) 0.3 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -241, -546, -981, -1552, -2265?\n\"Answer: -p**3 - 56*p**2 - 6*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 - 11*u - 1. Let j(n) = 7*n**2 + 12*n + 1. Let l(d) = 4*j(d) + 5*s(d). Let m be l(-3). Factor 40*i - i**2 - 6*i**m - 18*i**2 + 20.\nAnswer: -5*(i - 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 603973 and 3689?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/102)\/((-57)\/9 + 7). Sort 3, -2, r in descending order.\nAnswer: 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85845 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6830 and -97\/10928.\nAnswer: 54640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:50 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53786 (base 9) in base 6?\nAnswer: -432553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 2*p**7\/15 - 4*p**5\/15 + 27*p**2. Find the third derivative of o(n) wrt n.\nAnswer: 672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 313291983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99820 is divided by 551?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3350361450 + -0.1?\nAnswer: 3350361449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47314018 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 98000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + 3*p - 1. Let a be i(2). Suppose 5*m - 8 = -5*g + 7, 5*m + 3*g = 19. Suppose 7*y = m*y + 8. Sort y, -3, a in decreasing order.\nAnswer: y, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2299)*1 + 5 + sqrt(76)\/sqrt(4)))**2 - (sqrt(76)*-1*4 + sqrt(76))\/(2*sqrt(400) + sqrt(400)).\nAnswer: 43201*sqrt(19)\/10 + 99396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 + 1)\/2)\/(9 - 25).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q. Let u be k(-1). Suppose -f + 17 = -2*v - 2*f, -u*f - 12 = v. Let a(j) = -12*j**2 + 9*j + 10. Let o be a(v). Round o to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 7. Let x be (-47)\/q + 2\/9. Is x >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 18*z**2 + z + 14. Let n = -2723 + 2732. Calculate c(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 951 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.445361 to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 10 = -7*w + 9*w, w + 5 = -5*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 6.5. Let r = -148.826 + 143.8. Let s = r - j. Round s to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*1 - sqrt(85))*6)\/(sqrt(180)\/sqrt(4)))**2 - 3*((sqrt(2057) - -1*(sqrt(2057) + 1 + sqrt(2057) - sqrt(2057))) + sqrt(2057))**2.\nAnswer: -55542 - 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72798 is divided by 241.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 49. Suppose 22*c = 27*c + 105. Calculate h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 - 408. Solve -71 = v*t - 96 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11492297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**3 + 4*u**2 - 4*u + 4. Let t(k) = -k**3 + k**2 - k + 1. Let z = 74 - 70. What is z*t(h) - c(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -441, -450, -457, -462, -465, -466?\n\"Answer: s**2 - 12*s - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248082632 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -73 (b) 0.4 (c) -472\/7 (d) 0 (e) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/15)*u*(u**(3\/7)\/u)\/u*(u**(-2))**(-44) assuming u is positive.\nAnswer: u**(9194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from eohuho?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 69\/24)*3. Which is the closest to -2\/9? (a) -5\/2 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 19432666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 0.00719?\nAnswer: 0.40719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 8:36 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 127, 433, 1029, 2011, 3475, 5517, 8233?\nAnswer: 11719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104779*z**2 + 91151*z**2 - 82038*z**2 + 119888*z**2 - 20334*z**2.\nAnswer: 213446*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1034794313*t - 990777236?\nAnswer: 1034794313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/g)**(-2\/23)\/(g\/(g\/(g*g**(-2))))**(5\/3) assuming g is positive.\nAnswer: g**(109\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:00 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 0*t**3 + 0*t**3 + (t + 5*t - 5*t)*(3*t**3 + t**3 - 2*t**3).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -27*f. Suppose f*p = 3*p - 6. Solve 2*o + p = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-56)\/(-12) + -4)*6. Let f(g) be the first derivative of 1\/2*g**i + 2\/5*g**5 - 2 - 2\/3*g**3 + 0*g - g**2. What is h in f(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1104\/757 or 1?\nAnswer: 1104\/757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 - 4*h - 4. Let n be w(-2). Let d = -9 + 14. Suppose -s - 12 = -3*i, -n = -5*i + i + d*s. What is the highest common factor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1337.01111 - 1337. What is m rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5340.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125)*-5 + sqrt(125) + -1)*5 + ((sqrt(125) - (-5 + sqrt(125)*2)) + 3*(sqrt(125) - (sqrt(125) + 1)))*4)**2.\nAnswer: 880*sqrt(5) + 242004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 4*z + 9. Let t(h) = -h + 1. Determine -4*t(r) + y(r).\nAnswer: -4*r**2 + 8*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 13*b**2 - 2*b + 3. Determine s(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let y be m(-4). Let c = 6 - y. Put 0, c, 3 in decreasing order.\nAnswer: 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 17010698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 2*k - 15, 3*u - k + 159 = 174 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 9*b**2 - 465*b + 3611. Determine z(8).\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/8 + i**2 - i\/2 - 4 = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35018516 and 5387464.\nAnswer: 70037032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:36 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/26? (a) -0.2 (b) 1 (c) -45 (d) 74 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-4 - (17 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 != 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 999\/3038 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**2 + 16*t - 10. Let l = -577 + 1086. Let s = 525 - l. Let a(b) = 2 + 0 - 2*b**2 - 3*b + 0*b**2. Give s*a(w) + 3*n(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10981788?\nAnswer: 2, 3, 59, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:08 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - 4\/10. Let g = -7 + 9. Let f be (2\/(-3))\/((-2)\/15). Which is the closest to x? (a) 3 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 5\/(15\/(-9)). Let m(b) = b**2 + 6*b + 3. Let y be m(-5). Let j be (-6)\/(-3)*5\/(-2). Put y, j, p in increasing order.\nAnswer: j, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 - 3*x - 5. What is the smallest common multiple of 15 and j(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90.9+0.1934\nAnswer: -90.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173*t**4 - 281*t**2 wrt t?\nAnswer: 4152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 - u**4\/4 - 4*u**3\/3 + 10*u**2. Let g be t(12). Suppose 17 = 2*c + 1. Calculate the highest common factor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63913215 + -1326.\nAnswer: 63911889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(2*(-2)\/(-2)))\/((-34)\/68)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s + 3. Let j(k) = 29*k + 4. Calculate -3*j(w) + 4*t(w).\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47609, 95119, 142627, 190133, 237637?\nAnswer: 285139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7616 - 6952 = -16*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7031955 millilitres?\nAnswer: 0.0007031955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 0*w**4 + 2*w**4)*(w - 5*w - 25*w) + (-3*w**4 + 3*w**2 - 3*w**2)*(-4 + 4 + w) - 4*w**5 + 2*w**5 + 0*w**5.\nAnswer: -63*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + 1 + 2\/2. Differentiate 2*c + v*c**3 - 2*c + 4 - 10*c**3 wrt c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/8 (c) -2 (d) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 8 - -6 - (-6 + -7). Calculate the greatest common divisor of o and 975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -12826569.\nAnswer: -12826568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + 0 + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, j: 5, i: 1, q: 2}. Give prob of sequence jq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489603 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 186, 654, 1390, 2388, 3642, 5146, 6894, 8880?\n\"Answer: -y**3 + 140*y**2 + 55*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1791 - 1204. Suppose 2*t - 213 = u. Does 50 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -2*d - 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-30*2*(-3)\/(-336))\/((-15)\/(-240)*-12)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-127)\/((-2540)\/8))\/((-114)\/180)\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3619\/20078 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034418765 to the power of 1\/2, to the nearest integer?\nAnswer: 55086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9158734*w**5 - 16985*w**2 - 15*w - 5.\nAnswer: 549524040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29455 + -8606. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 + 4 = 0. Suppose -390 = 2*g - r*g. List the prime factors of g.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let a = 0.5 + 0.5. Let z = a - p. Sort z, 1\/6, 3\/8 in ascending order.\nAnswer: z, 1\/6, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(18) - -3*sqrt(1458))\/sqrt(6) + (sqrt(243)*1)\/sqrt(9) + sqrt(27).\nAnswer: 4 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3306 = -3410. Calculate the lowest common multiple of g and 11.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18814 minus -10?\nAnswer: -18804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 37*d - 6. Let o(b) = 3*b + 3. Let p be o(5). Let k be (-220)\/(-99) + (-4)\/p. What is the tens digit of a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/3 (c) -2\/5 (d) 0.5 (e) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 12)*(-5 - 44\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-25)\/10 - 0\/2). Is (-7 + -19 + a)*163\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 33. Suppose -w = 2*z + 6, 14*z - 17*z = 4*w + 4. Let d = 60 + -64. Which is the closest to 1\/3? (a) r (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3312403 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 27298665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3)*(-3)\/(-1). Let r(k) = -4*k + 3. Let x be r(d). Let j = x - -62. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (364\/35 - 3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2502 divided by -1?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeoeeeeeoee. Give prob of sequence oeoo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*j = 43, 5*j = 3*s + 85 - 8. Let r = 10 - s. Calculate the remainder when r is divided by (-4)\/(-6)*(19 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 2*y**2 + 3*y + 4. List the prime factors of p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14344 is divided by 438?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:15 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31236\/52896 + 55\/(-88).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 + 9*i + 10. Suppose 3*p + 2*x = -3*x + 34, 4*p + x = 34. Let b be m(p). Calculate the greatest common divisor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.9, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:55 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 646 + -641. Let r(g) = 63*g**3 + 18*g**2 + 18*g - 18. Let v(u) = -18*u**3 - 5*u**2 - 5*u + 5. Give w*r(i) + 18*v(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**4 - 5*l**3 + 5*l**2 - 17*l - 222. Let p(i) = -i**4 - i**3 + i**2 - i - 1. Let f(a) = -5*p(a) + t(a). Differentiate f(m) with respect to m.\nAnswer: 16*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/4 + o**3\/3 - o**2\/2 - o. Let u be s(-2). Let t(n) = -n - 1 + u*n - 2*n. Let i(g) = -g. Give 2*i(m) + t(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 6*f + 30)*(2 - 2 - 4)*(0*f**2 - 2*f**2 + 3*f**2).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4\/3 + 108*v**3 - 97168*v**2\/3 - 298608*v - 266112 = 0?\nAnswer: -198, -8, -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 46 = 3*k + 3*q, k + 4*q - 2 = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(4\/6 + -1). Let v = 32.2 - 32. Which is the nearest to 1? (a) v (b) u (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0, 0.2, -2122, -2\/7 in decreasing order.\nAnswer: 0.2, 0, -2\/7, -1, -4, -2122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 5*j. Suppose -3*n + 7 = 4*i - 1, 2*n - 4*i = -28. What is p(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from prsax.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u - 3*u. Let a(y) = y + 3 + u*y**2 + 1 - 4. Give a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 4\/(-20) + 46\/80 + 1955\/184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 less than 7315?\nAnswer: 6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 81*y**2 + 156*y + 1731. What is the tens digit of a(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66432, -265785, -598068, -1063281, -1661424, -2392497?\n\"Answer: -66465*c**2 + 42*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 - 2. Let j be y(9). Let r(p) = -2*p**2 - 3*p - 3. Calculate r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 4) to base 15\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:26 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -163 - (-17 - 18 - 69)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33031, -32997, -32973, -32965, -32979, -33021, -33097, -33213?\n\"Answer: -y**3 + y**2 + 38*y - 33069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 6 - (19\/3 - 3). What is the biggest value in -2\/7, -2, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:45 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15386*-0.1.\nAnswer: 1538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, 413, -1 in decreasing order.\nAnswer: 413, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1511962370 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*j - 174*j = -13*j + 11583 + 26830 for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2721 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-547)\/(57435\/(-42))*(-165)\/(-8).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 80. Let k be f(-56). What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 + i + 1. Let l(n) = -n**3 - 3*n**2 + 4*n + 3. Give -l(u) + 3*y(u).\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-7)\/(-7))\/((3422\/(-5015))\/(-58))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 2)*(0*r + r**2 + 0*r + (-6*r + 11*r + 2*r)*(7*r - r - 2*r) + 0*r**2 + 2*r**2 - 4*r**2).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -243, -915, -2023, -3573, -5571, -8023, -10935, -14313?\n\"Answer: -q**3 - 212*q**2 - 29*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:00 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34064474, -68128959, -102193448, -136257941, -170322438, -204386939?\n\"Answer: -2*r**2 - 34064479*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 2. Let j be f(4). Let k = -60 - -62. Suppose -15 - 5 = -4*t, 2*y - j = -k*t. Calculate the smallest common multiple of y and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14416 and 120045?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 2*j**2 - 7*j**2 + (0 + j + 0)*(14 - 7*j - 14) in the form g*j**2 + m*j + h and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-45)\/27)\/(2\/6). Solve -n + b*o = -21, 3*o - 10 = -2*n + 5*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2576902 and 0.8?\nAnswer: -2061521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = -j, 6*n = 10*n - 16. Solve 0 = -4*p + j, h + p - 4 = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 + x**2 + x**2)*(-5*x - 4*x + 5*x)*(3 - 6 + 1) as c*x**3 + q + y*x + s*x**2 and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, 0, -76\/5, 0.6, -0.2, -0.4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -1286?\nAnswer: 12a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000321481 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x)\/x)\/((x*x**(1\/6))\/x)*((x**(-7)*x)\/x)\/x**(2\/21)*((x**(-2\/3))**(3\/2))**(-2\/121) assuming x is positive.\nAnswer: x**(-36821\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 2474940?\nAnswer: 27224340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 2507684314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-19 - -33) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 44.4, -4, -16?\nAnswer: 44.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1595.8 + 1594.8. Sort 3\/5, -5, k, 4, -1246 in ascending order.\nAnswer: -1246, -5, k, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.77496 rounded to 1 dp?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29579 and -5.\nAnswer: -147895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 374*v + 5234. What is m(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*j + 24*j + 134. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 54*p**2 + 42*p + 51. Is l(-37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11023 - -120020?\nAnswer: 131103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11393, -11394, -11395, -11396?\n\"Answer: -p - 11392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (7 + -11 - -42)*944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = d - 0*d - 11, 5*x + 5 = 0. Suppose -d*c = -14 + 68. Let j(a) = -18*a - 8. What are the prime factors of j(c)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*s + 5, l - 3*l + 11 = s. Let j be (-1 + s\/10)*-22. What is the greatest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -91. Let a(h) = -2*h**3 - 2*h**2 + 2*h - 1. Let v be a(q). Let p(d) = -d - 2. Let j(g) = -4*g - 6. Give v*j(o) + 8*p(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(69\/(-9) + 2). Let b = 101 - z. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Suppose 7*k - 6*k - 2 = n. Is 51 + (-1 + k)*-4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714000776.\nAnswer: 2, 3, 71, 293, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 18. What is t(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 565 - 561. Solve -10 = -5*k - 5*m, -24 = -y*k + 6*m - 2*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.5 (c) 4\/7 (d) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = 2*o - 6*t, 1 = -4*o - t. Let z be 8 + 9\/(-3)*o. Solve 3*d - 18 = z*u - d, -3*u = 3*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -3) + ((-48)\/(-7) - -10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmfqiqmmmqmmooiofomo. What is prob of sequence mi?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**3 - 2*q**2 + 3*q + 3. What is the hundreds digit of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 175 = -10*m - 4*l, 3*m - 5*l - 179 = 0. Solve 21 = -60*f + m*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/112 + (-5 - 40221\/(-21))?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.97 - 0.03. Let a = -10 - j. Let y = a + -3.996. What is y rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*v - 151, -4*v - 148 = 20*r - 25*r. Suppose r*t - 3*t = 163299. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (-5 + (3*sqrt(352)*2 + sqrt(352))\/(sqrt(11) - -2*sqrt(704)))*-2)**2.\nAnswer: -1232*sqrt(2)\/17 + 41241\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51664667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-30)\/8))\/(48\/(-324))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5251 is divided by 1096.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 281782 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -7*j + 4*j. Let f(s) = 0 - 3 + 0*s**3 + 5*s - 6*s**2 - s**3. Is f(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/4)\/11*4*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 127119984?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let r(d) = d - 5. Let k be r(2). Let g be 10\/k*18\/(-24). Which is the nearest to -0.2? (a) -1\/4 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*2\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -242596\/7 at most -34657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 - 166 = 0. Let z(f) = f**2 - 33*f - 22. Let d be z(o). Solve 0 = 11*l - 8*l - d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Sort f, 3, 2.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3927 + -3888. Calculate the remainder when 739 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 73 = 19*z, -33011 = -6*z + 2*z - 5*l - 32990 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 52*n - 44*n = 0. Factor 2\/9 + 0*o + n*o**3 + 2\/9*o**4 - 4\/9*o**2.\nAnswer: 2*(o - 1)**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1210 - -1211. Put p, -1, 4, 11 in decreasing order.\nAnswer: 11, 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 51*c**2 + 3*c - 2. Let g be v(1). Suppose k = g + 48. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - 169. Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35440 - -35451. Which is bigger: o or -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 18 - 38 + 3*k + 2*k**3 - 24.\nAnswer: 2*k**3 - k - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 898694437 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1506 + 4520\/3. Let z = -7.67 + 8. What is the closest to a in z, -0.1, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1819\/23519 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 85 = -0*j. What is the highest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233985 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by -288?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26844497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/12 + 1 + (-69)\/(-6). Suppose -6*p + b*p = 17432. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.4823 centimeters in meters?\nAnswer: 6.434823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -389*o - 5. Let r(j) = -778*j - 13. Determine 7*h(b) - 3*r(b).\nAnswer: -389*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - i)*(2 - 4 + 3) - 4*i + 4*i - 2*i + 2*i - 2*i - i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 - a44e?\nAnswer: -a3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2192 = 36*v - 20*v. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Suppose 0 = 12*y - 2*y - 70. Give i(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312249 >= 1312248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(252) - (2 + ((sqrt(252) - (sqrt(252) + sqrt(252) + 3)) + sqrt(252))**2)) + 5 + sqrt(252)*-2)*-6.\nAnswer: -216*sqrt(7) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 441165, 441163, 441161, 441159, 441157?\n\"Answer: -2*r + 441167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1591 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 14*b**2 - 4*b + 10. Let o be l(-5). Put -4, -1, 486, o in decreasing order.\nAnswer: 486, o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.02 (c) 8 (d) 25188 (e) 0.4 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 + 4\/1. Let i(l) = -1 + 3 + 5*l - 5 + f - 3*l**2 - l**3. Suppose -4*a + 6 = 22. Determine i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10420673 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6786706*l**4 - 118544418?\nAnswer: 27146824*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -72.9, -0.0100031, -1 in increasing order.\nAnswer: -72.9, -1, -0.0100031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/16 - (199\/40 - 1) and 34\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263145861.4 - 0.34.\nAnswer: 263145861.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29727 + -28724. What is the remainder when j is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8760+63.9\nAnswer: -8696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/(5336\/890 - 6). Let o = -84 - q. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17120578 < 17120608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-289)\/(-51))\/17)\/(-3*(-3)\/(-27)*5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1456\/715)\/28*(2\/(-4) - -3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/410 - -807\/5330. Is 2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -389 - -392. Let p be (-1 - -3)\/2 - 1. Suppose -3*i + i = p. Solve -r*d + 2*d + 1 = i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -28. Suppose b + i - 5 = 0. Suppose 4*s = -c + 49, -c + b*c - 4*s - 236 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 366633.1l?\nAnswer: 366633100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2835\/2 + -36851\/26. Let f = -2.6 - -0.6. Which is the smallest value? (a) 0.26 (b) i (c) -0.5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5)*(h + 2*h - h)*(-7 + 7 - 2).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 13*u - 14, -26*u - 11*z - 14*z + 65*z + 58 = 20*z + 16*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 - a + 1. Let t be i(-7). What is the units digit of (t\/(-6))\/((-2)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 183*l + 308. Let u be n(-11). Calculate the common denominator of -11\/45 and u\/525*-1 + -3.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 906*m**2 - 10*m + 13. Let l be x(2). Let z = l - 1960. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 = -0*j - 3*h, -2*j + 11 = h. Suppose j*y = y + 8. Solve -7*s + 3*s = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.802 - -62. Let y = 2.802 + p. Let o = -1.4 - -1. What is the nearest to 0 in o, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzt when three letters picked without replacement from {d: 8, q: 1, i: 2, t: 1, f: 2, z: 6}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*g = -144*g + 50. Suppose g*c = u - 80 - 88, u - 196 = -2*c. Is 47 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(36\/5)*((d\/(d*d**5))\/d)**(-2\/51) assuming d is positive.\nAnswer: d**(-286\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcrqxcqooqoxcqx. Give prob of picking 1 o, 1 c, and 1 x.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133774 = 4*j - 5*v, 29*v = 5*j + 24*v - 167215. List the prime factors of j.\nAnswer: 3, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9891.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3307271*f - 2382209 wrt f.\nAnswer: -3307271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 55*v**3 - 388*v**2 + 564*v = 0.\nAnswer: 0, 2, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42431 (base 7) to base 16\nAnswer: -290c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + 4*c + 0*c)*(1 - 3 + 3) - 3*c + c + 0*c)*(-3*c**3 + c**3 - c**3).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0)**(-2)*j**(-3\/11)*(j**(-3)*j)\/j)**(2\/19))**(-7) assuming j is positive.\nAnswer: j**(504\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.023476.\nAnswer: 0.076524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11)\/n)\/n*n**(1\/6))**10 assuming n is positive.\nAnswer: n**(-665\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = -7. Let z = o - 0. What is the common denominator of (z - -1)*262\/(-12) and -117\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 2*y**2 + 0*y**2 + (0 + 0 - 2*y)*(0*y + 4*y - 2*y) + 3 - y**2 - 3)*(-2*y + 4 - 4) as a*y**3 + v*y**2 + c + w*y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 2 - -1 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (118 + -2)*(-4)\/(-8). Is (a\/8)\/(11\/484) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -b30a?\nAnswer: -b30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-426)\/27 + (-4)\/18. Let d be (-12)\/u*(-1)\/(-3). Let t = -1 - 0. What is the nearest to -1 in d, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2 + k**2 - 3*k**2 + 4*k - k + k**3. Let m(r) = r**2 + 2*r - 2. Let y be m(-3). Let a be v(y). Which is bigger: a or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 241204*g\/3 + 16374128\/3.\nAnswer: 2*(g + 68)*(3*g + 120398)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*z = 30, 13 = 971*o - 976*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*3\/(9\/3). What is the first derivative of 0*v - 2*v**3 + a*v + 4 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -130*n**2 - 35*n + 1. Let i be q(-1). Is i at least 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.5 less than -0.3?\nAnswer: -856.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j - 4. Let y be 6\/1 + -6 - -1. Let n(l) be the second derivative of -l**3\/6 - l**2\/2 - 96*l. Give y*u(p) - 6*n(p).\nAnswer: -6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*y - 173 = 0, -2*r + 3*y + 146 = -29. Let t = r + -87. Suppose -18*n = -92 + t. Solve -o = v + 3*v + 21, o = -n*v - 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/((-1)\/(-20)). Let o = 27 - m. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53119514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28. Suppose m = y + 3*y + 4*o, -2 = 3*y + o. Let a(c) = 2*c - 19. Let f be a(12). Put f, 2, y in descending order.\nAnswer: f, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.5916l?\nAnswer: 89591.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**5\/60 + 5*p**3\/3 - 4. Let d(v) be the third derivative of u(v). Let g be ((-2)\/(-3))\/((-2)\/3). Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/24)\/(1\/(-4)). Let f = -6 + n. Let v(x) = -2*x - 606 + 601 - x + f*x. Determine v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 161*f + 1. Let m(x) be the second derivative of -25*x**4\/12 + 4500*x. Calculate m(a(o)).\nAnswer: -648025*o**2 - 8050*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 10*o - 1. Let a be (-8)\/(-20) + 76\/10. What is the least common multiple of k(a) and (2\/(-6))\/(11 + (-794)\/72)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1533198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from fxtxfffttfxt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s. Suppose -57 = -3*r - 5*j - s*j, 5*j + 15 = 0. What is the greatest common factor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8922980 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4, -0.05, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 6, n: 9}. Give prob of picking 2 n.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 57 = -10*z + 20 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*d - 3*q + 10*q, -5*d + 5*q = -30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 3*p**3 + 20*p + 32 - 65 + p**2 - 4*p**3 to the form u*p**2 + f*p**3 + o*p + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 6:00 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 27*z**2 - 11*z - 110. Let a(o) = -4*o**2 + 2*o + 1. Determine 6*a(p) + l(p).\nAnswer: 3*p**2 + p - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1841, -5965, -12465, -21341, -32593, -46221?\n\"Answer: -1188*j**2 - 560*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2. Let p(y) = 2*y - 3. Let b(z) = -2*z - 6. Let o be b(-6). Let c(x) = -35*x + 55. Let n(q) = o*c(q) + 110*p(q). Give n(u(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.996671 + -0.049329. Let w = x - -1.146. What is w rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (4 - 3)*4. Let v be 3\/f - 1\/(-4). Is v less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.662087ms?\nAnswer: 0.005662087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.41, 58, -2, -1272 in decreasing order.\nAnswer: 58, 0.41, -2, -5, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:13 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2952.515 hours?\nAnswer: 10629054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -41635*o + 19526800. What is i(469)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 81. Let u be (16\/(-20))\/((-1)\/(k\/(-12))). Let z = 173\/132 - -1\/44. Which is the nearest to u? (a) 2 (b) 4\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l*u**3 + l*u**2 + 5776*l*u - 24152*u**3 - 2 wrt l?\nAnswer: 3*u**3 + u**2 + 5776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4851 + 4862. Suppose 4*p + 8 = -8, -3*p = -2*q + 68. What is the remainder when q is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108954610.\nAnswer: 2, 5, 10895461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31115527309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015435781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let s(g) = g + 10. Let t be s(-8). Let l(d) = -2*d**2 - 4*d**2 + 3*d**t. Calculate l(a(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 207, -894, -1?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28396.5854 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.0106 + 0.0106. Sort -6, 0, h in descending order.\nAnswer: 0, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*t**3 + 79*n**2*t**3*u + n**2 - n*t**3*u + 43*n - 2*t**2*u + 4*u wrt n.\nAnswer: 12*n*t**3 + 158*t**3*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -610094, 5, -3, 0.3, 0.2, -2\/7?\nAnswer: -610094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(342)\/(sqrt(9) + 1*sqrt(9)))\/(2*sqrt(72)))**2 + 5*-5*sqrt(1539)*4.\nAnswer: -900*sqrt(19) + 19\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23712.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73231426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19579 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: Rearrange -755*s + 14676*s**2 - 14674*s**2 + 141*s to w*s**2 + y + i*s and give i.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -5*o + 3*o. Let s be o\/(-44) + (-2)\/(-8). Let w be (1 - 2)*(-1 + 1). Which is the biggest value? (a) -2\/19 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 717 = -483. Calculate the greatest common divisor of f and 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -68. Suppose d = -5*o + v, -2*o + 29 = 3*d + 3*o. Suppose -2*a + 51 = -d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33966 divided by 1273?\nAnswer: -33966\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22325\/(-380))\/(-235)*(-5)\/(55\/(-4)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -4*q - 10*z + 30647, 5*q = 3*z + 38314. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2\/13, -11 in decreasing order.\nAnswer: 1, 2\/13, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + 4\/10. Let a be ((0 - h)\/4)\/(-1). Let j be ((-6)\/(-3))\/(-1 - a). Sort -4, 3, j in descending order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5643 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*m - 1910, m = -3*p - 3*m + 1154. Suppose 5*f - p = i + 353, -i = -4*f + 585. What are the prime factors of f?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 283.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1405942761 and 0.7.\nAnswer: -1405942760.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 927\/8107 + 1577981453\/48642. Let m = 32686 - s. Let q = m + -3707\/15. Find the common denominator of 34\/9 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 81, -1.28, -5?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124385678 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 507 in increasing order.\nAnswer: -1, 2, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737409 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/12 + -3)*3. Suppose 2*v - o*v = -60. Solve 3 = u + 3*b, -2*u - 5*b = -6*u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z**3*z)\/z)*z**(2\/9))**(2\/77))**(-3\/4) assuming z is positive.\nAnswer: z**(25\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -10, -1, 0, 6, 2 in increasing order.\nAnswer: -48, -10, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g + 2*g - 2*g + 3*g + g + (0 + 2 - 1)*(0*g + 0*g + g) - g + 3*g - 4*g + 0*g - g + 2*g + (6*g - 2*g - g)*(-585 - 142 - 200).\nAnswer: -2777*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnznznznznnn. What is prob of sequence zzz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 4*p**2 + 5*p**2)*(12*p**2 + 449*p**2 + 27*p**2) as i*p + c + x*p**3 + z*p**2 + w*p**4 and give w.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-26) - (-189)\/39. Let p = -88 - -91. Solve -h*g + 2*i = 2, p*i - 1 - 2 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylllyllylylylyylyly. Give prob of sequence yyyl.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 - 3*v + 3. Let i(f) = 42*f**2 - 17*f + 15. What is -2*i(r) + 11*u(r)?\nAnswer: 4*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5866709549 from 0.37134.\nAnswer: 5866709549.37134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -3*n**4\/16 - 92*n**3\/3 + 125*n**2\/2 + 124*n + 262. Factor j(o).\nAnswer: -(o - 2)*(o + 124)*(3*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, 8, 0.146 in descending order.\nAnswer: 8, 1, 3\/4, 0.146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/180375117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m + 18*m + 52*m + 972 = 0 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*d = 6520 + 17540 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, -1, -45027, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740 a factor of 3895617074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(108) + 0 + -1 + 1*(sqrt(75) - 1*(sqrt(75) + 0) - ((sqrt(75) - 1*sqrt(75)) + -4))**2.\nAnswer: 6*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 189*t - 5. Let d(n) = 1136*n - 27. Determine -4*d(m) + 23*q(m).\nAnswer: -197*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1157876255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -5, -30713 in ascending order.\nAnswer: -30713, -132, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40820.22 * -0.07.\nAnswer: 2857.4154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 3, q: 1, x: 1}. What is prob of sequence cqpc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(6)\/sqrt(3) - sqrt(32)*4) + (sqrt(2) - sqrt(20)\/(sqrt(40)\/sqrt(4))) + 2.\nAnswer: -15*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -643*o + 6. Let x be u(2). Let h = 120 - x. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b**2 + 2*b + 6. What is the hundreds digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05345104 to 4 dps.\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14423 - 14400. Solve -h = -4*h - w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 11*v - 1189 = 30*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 1\/6*l**3 + 0*l - 1\/24*l**4 + 0 + 3*l**2. Find the first derivative of a(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6 - 1 + 4 - 2*a - 3. Does 4 divide r(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -5*c + y, -2*c = -3*c + 3*y - 24. Suppose -5*h = 15, -37 = -5*q + 3*h + 97. Let u = q + c. Calculate the remainder when 49 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.8, 2\/9, 3\/22?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2736307 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123620 + -32?\nAnswer: -123652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let u(m) be the first derivative of 0*m**2 - 224\/3*m**3 + 0*m - 43. Determine u(v(c)).\nAnswer: -224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*n**3 + 28*n**2 - 2*n + 5748 wrt n.\nAnswer: -108*n + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4396 + 28.2.\nAnswer: 29.6396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10872 and 13011368?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let n(x) = x**2 + 6*x + 2. Let v be n(-6). Find the third derivative of 6*b**4 - 6*b**4 - j*b**2 + v*b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/153))**(-37))**(-2\/83))**(-3) assuming f is positive.\nAnswer: f**(148\/4233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 194 = -f, -4*f - 3*v + 620 = -151. Let x be f + -4 - (-1 - 0). Suppose -26 - x = -4*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q**3 - 2*q**2 - 96*q - 360. Does 11 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/9)\/(((-4)\/39)\/((-390)\/169))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10100110111100111111?\nAnswer: 10100110111100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8182?\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -565*b + 353. Calculate the remainder when 1843 is divided by y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 10*z**3 + z**4 + 7048*z**2 + 32*z - 3529*z**2 + 12 - 3490*z**2 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0.3, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 - (0 - 2)) + 16 + -13 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -1 + 49\/((-12691)\/(-1073)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*d = -4*i + 11, 4*i = 2*d - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-534736)\/(-53472) + -10)\/(-4 - -1). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 7}. Give prob of picking 1 i and 3 p.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222021200102121 + 0?\nAnswer: 10222021200102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/6 - 2*n. Let o(t) be the third derivative of 1\/60*t**5 + 0*t**4 + 0 - t**2 + 0*t**3 + 0*t. What is c(o(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 4*h**4 - h**4)*(-2125 + 2992 - 1757 + 3*h).\nAnswer: 3*h**5 - 890*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5784, -5714, -5602, -5448, -5252, -5014?\nAnswer: -4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0383 + 1.0334405. Round r to five decimal places.\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767505 divided by -17.\nAnswer: 767505\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032110 - -1011?\nAnswer: 3033121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.4, -367, -35\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617346 is divided by 253.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288669?\nAnswer: 3, 96223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41913188?\nAnswer: 2, 131, 79987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.7 - 24.7. Let s = 3.92 - r. Round s to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 276*v\/11 + 9522\/11.\nAnswer: 2*(v + 69)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 3*v**4\/4 + 2*v**2. Let t(w) = -4*w**2 + 2*w. Let g(m) = -m**2 + m. Let p(q) = 2*g(q) - t(q). What is p(a(n))?\nAnswer: 648*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 9. Let h = 10 + f. Let t = -1293 - -1290. Sort 4, t, h.\nAnswer: h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32718 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, 1 c, and 1 t when four letters picked without replacement from {q: 1, y: 1, t: 1, i: 1, c: 2, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11095.887 to zero dps.\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(72)\/sqrt(147))\/(-3*sqrt(128)))**2.\nAnswer: -5*sqrt(3)\/42 + 58801\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 345?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 13 - 5. Suppose -q*h + 7 = -3*h - 5*o, 0 = -3*o + 3. Calculate the common denominator of -51\/2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3040 and -1 + 663\/(-26) + 3.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(1375)\/sqrt(5) - -5*(sqrt(22)\/(sqrt(4)\/sqrt(2)) + (-2*sqrt(66) + sqrt(66))\/sqrt(6)))*-5.\nAnswer: -75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 4*h + 2*h)*(-3 + 2*h + 3) + 5*h - 5*h - h**2 to the form i*h**2 + g*h + z and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5297*b*i*z + b*n*z + b*n + 2*b*z + 2*i*n*z - i*z + i - 85*n*z + 12*n + 12 wrt b.\nAnswer: 5297*i*z + n*z + n + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-722)\/(-12) - 4\/24. Let d be ((-4)\/(-6))\/(8\/a). Suppose -f + 0*o + 4*o = -d, -25 = -5*f + o. Solve 3*q + u + 4*u - 35 = 0, -q = -f*u + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - v + 8 + 3, 0 = 2*u - v + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -4834, -4, 83.\nAnswer: -4834, -19, -4, 0, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -6. Let y(i) = -i**3 + 6*i**2 - 4*i - 1. Let z be y(3). Does 13 divide (-4)\/z + 317\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 27*z**3 + 63*z**2 + 57*z + 18.\nAnswer: 3*(z + 1)**3*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acyachc. What is prob of picking 1 a and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0, 0.31, -35, 2, -4.229, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -64, 13?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 609 divided by -9.\nAnswer: -203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*b - 2*i + i, 2*b - 32 = 4*i. Suppose u - b*u = -200. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3764, -7592, -11514, -15560, -19760?\n\"Answer: -5*c**3 - 17*c**2 - 3742*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 88? (a) 6\/7 (b) 6265 (c) 2\/5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 366*x**2 + 7*x - 28. Let a(m) = -m**3 + 183*m**2 - 4*m + 16. Let o(k) = -7*a(k) - 4*n(k). Factor o(f).\nAnswer: 3*f**2*(f + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11264\/(-880)*-10*2. What is the greatest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 92. Let c = 26 - t. Suppose 0 = 6*o - c*o - 21. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209950.\nAnswer: 2, 5, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/21, -7, -15\/4 in ascending order.\nAnswer: -7, -15\/4, -2, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*w + 69. Suppose 8*b = 6*b + w. Solve 3*j - 7 = 2*i, -3*i - 3*j + 9 = -b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 + 4392*t\/5 + 587158\/5 = 0. What is t?\nAnswer: -2053, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1790513*z**4 - 1182758*z**2.\nAnswer: 42972312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**2 - 51*g + 9. Let h(y) = -2*y**2 + 13*y - 2. Determine -9*h(o) - 2*x(o).\nAnswer: 4*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**2*z**2 + 129*p**2*z + 2*p**2 - 14597*p*z**2 wrt p.\nAnswer: 16*z**2 + 258*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 149, 197, 247, 299?\n\"Answer: q**2 + 45*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/s)\/(s**(-6)\/s))\/(s**(-1\/3)\/(s\/s**(-1\/11))) assuming s is positive.\nAnswer: s**(113\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p**2 - 11*p**2 + 120*p - 23*p**2 - 44*p**2 + 286*p wrt p?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 40 = -3*l, 2*l + 50 = -l + 4*z. Let u = l - -28. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23661575, 23661570, 23661563, 23661554, 23661543, 23661530?\n\"Answer: -w**2 - 2*w + 23661578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1400)\/42)\/(-20))\/((-5)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 97168*x + 97169*x - 17, -10*o - x = -17 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (9 + 3 + -6 - -4 - -4) - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*j + 45 = 4*a, -3*j + 5 = 5*a. Suppose p = -3*n - 0*p - 69, n = a*p - 10. Let f = -13 - n. Solve -2*z - z - f = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16381 - 4) + 912\/(-38). Is b > 16352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30466 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(2))\/sqrt(12) + (sqrt(18) - sqrt(36)\/sqrt(2) - sqrt(18))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.4 - -0.2. Let z = 6.08 + -0.08. Let t = z - l. Which is the smallest value? (a) 0.5 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(36 + (-1885)\/52)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (45 + (-43 - -23) - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126.51 and 0.4?\nAnswer: 50.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001368355 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 0.05, -2048?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9050 * -0.6.\nAnswer: 5430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let a(o) be the first derivative of o**4\/12 - o - 13. Let k(l) be the first derivative of a(l). What is k(x(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 + 23 + -2 + 0 + -4)\/(-1). Solve s = -11*c + 23*c - 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c. Let f(h) = -2*h**2 + 1. Let a(n) be the second derivative of 11*n**4\/12 - 5*n**2\/2 + 2*n - 4. Let w(b) = a(b) + 5*f(b). Calculate w(p(t)).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**9*v)\/v*v\/(v**(-1\/7)\/v)*(v\/((v\/(v*v**0*v))\/v))\/v*v**(-3) assuming v is positive.\nAnswer: v**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 11*n - n**2 + 11*n + n**3 - 27*n. Let o be p(5). Suppose 4*u + 2*c = -o*u + 2, -4*u + 20 = -4*c. Solve -u - 2 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-12)*-2 + ((-544)\/48)\/17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669 is divided by 203.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 0, -3*q + 14*t + 494 = 9*t. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/6 - 7*r**3\/3 - 17*r**2. Let o be y(-4). Let n(k) = -4 - 5 + 3 - 4*k + o*k. Calculate n(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622333.\nAnswer: 622333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-970)\/12 - (-4)\/(-48)*2. Let d = u - -86. Suppose -d*c + 467 = 122. Calculate the remainder when c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -106\/27 (c) -2\/7 (d) -3\/7 (e) -0.05 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2*y**2 - 99 + 4\/3*y**3 + y. Calculate v(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -2*h - 28. Suppose h*k = 3093 - 13081. Let s = k + 3660. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 + 608360*t**3 - 12775548*t**2\/7 + 12775544*t\/7 - 4258514\/7.\nAnswer: -2*(t - 2129257)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175252525.\nAnswer: 5, 7, 23, 43541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 509 = -410. Suppose 4*q = 7*q - 666. Let h = q + v. Calculate the highest common divisor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 24 = 0. Let y(k) = k**2 + 7*k + 8. Is y(b) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*b + 161*b - 11 = -3*k, -b = k + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 362929 and 0.2?\nAnswer: 72585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(663\/(-52))*(-3)\/7*2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.319618 rounded to two dps?\nAnswer: -10.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1742*d - 3379. Calculate z(2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47 and -233.8273037.\nAnswer: -280.8273037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 12*d - 1. Let l(r) = -6*r**2 - 24*r - 1. What is -3*l(z) + 5*t(z)?\nAnswer: -2*z**2 + 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019032178 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Suppose a - 5*a = -u + 18, u = 5*a + 23. Let z be (0\/u)\/(0 + -1). Let q(b) = b + z*b + b. What is q(p(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*k**2 + 69*k + 9.\nAnswer: 3*(k + 1)*(20*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9999\/(-60) - (-9)\/(-15). Let z = y + 168. Let t = 3 + -3.1. Which is the smallest value? (a) -0.2 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29626191 and 23457?\nAnswer: 29626191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.13. Let z = -0.03 + s. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 - -2.42. Let d = z + 6.88. Let u = d + -5. Do u and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10795*h - 15. Let s be r(-1). What is the second derivative of 10780 + l**5 + 114*l - 12*l**2 - s wrt l?\nAnswer: 20*l**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025392 rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 3*y**2 - 6*y - 4. Suppose 2*b + 8 = -4*f, -2*f - 12 = 3*b + 2*b. Let v be (-5)\/(b - (-3)\/3). What is the remainder when m(v) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -183*m + 42*m. Solve 2*h + 4*l = -4, -54*l + 58*l = h + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x - 5 - 5 + 1. Suppose 19*y - 10*y = -81. Is b(y) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - i + 6, 65*q = 64*q - 2*i + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 41*f**2 + 59*f**2)*(f + f - 4*f)*(-30 + 30 + 3*f)*(1 + 2 - 4) to o*f**2 + s*f + c*f**4 + h*f**3 + b and give c.\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l - 76. Let v be f(-5). Solve 29 + v = 11*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16220296361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(4 + sqrt(28) - (-2 + -1 + sqrt(7))**2).\nAnswer: -144*sqrt(7) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -10. Let k be -5*j\/(-15)*-5. Let u(r) = -r**2 - 10*r + 4. Let s be u(k). Are s and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1319.05 - 1319.0750083. Let s = -0.025 - l. Round s to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1749 and 703296?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.042 + 0.058. Is 0 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 13796.2.\nAnswer: 13801.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -20*a + 16*a. Solve a*b = -3*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*b + 21415 = 331*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(3*(-3*sqrt(133) - sqrt(133)))\/((1*sqrt(70))\/sqrt(10)) + -1.\nAnswer: -5 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/150 - 2*g**4\/15 - 16*g**3\/15 - 9*g**2. Factor s(h).\nAnswer: -2*(h + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -3. Let f be (-1*(c - 2))\/(-1). Factor -3*y**4 + 2*y**4 + 4*y**4 - y**f - 2*y**3.\nAnswer: 2*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13118558 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34622484*m**3 - 2*m**2 - 5*m - 9415.\nAnswer: -207734904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/3 - 2179*l**4\/3 - 3624*l**3 - 4340*l**2\/3 + 17392*l\/3 = 0.\nAnswer: -2174, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2824640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*10\/(-8)*2. Let d(c) = -220*c + 4. List the prime factors of d(o).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2383 - -3009. Let b = 11 - 8. Suppose -b*r - 155 = -j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434 is divided by 333.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -13. Suppose 5*o = -5 - r. Which is the second biggest value? (a) -0.2 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/560)\/((-63)\/56).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let p be s(2). Let x(f) = 11*f. What is the smallest common multiple of x(p) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49903, -49893, -49883?\n\"Answer: 10*p - 49913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 24 = t. Suppose 0 = -3*y + t + 3. What is the smallest common multiple of 2 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 23*x**2. Let y(s) = 9*s**3 - s**2. Let n be y(1). Let d(k) = -n*k - 11*k + 21*k. Determine d(w(z)).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 38121500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6396, 27621, 63674, 114555, 180264, 260801, 356166?\nAnswer: 466359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/6)\/k)\/k**(-1\/8))\/(k\/(k\/((k*k*k**(-7\/2))\/k))*k*k**43) assuming k is positive.\nAnswer: k**(-1037\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 9. Let k be s(3). What is the highest common divisor of 72 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - 2*d + 6. Let h(i) = -4*i**2 + i - 3. What is 4*b(a) + 7*h(a)?\nAnswer: 8*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.5. Let a = 12768 - 12806. What is the nearest to -1 in 2, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4, 178, 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29665 = -n - v - 29677, 0 = -5*n - 2*v - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012210 (base 4) in base 9?\nAnswer: 6167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090\/990 + (-14 - (-24 + 31))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376095399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/273, -2\/3, -1\/2?\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(3\/4))\/v*v**1)\/(v**(-1\/3)\/v)**(3\/32))\/((((v\/(v*v\/(v*v*v**(-2\/3))))\/v*v)\/v)\/v*v**(1\/2))**31 assuming v is positive.\nAnswer: v**(913\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-1)\/(-7))\/(30\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13175 + 19498. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 620, 2352, 5236, 9272, 14460, 20800?\n\"Answer: 576*g**2 + 4*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 3, -35, -109, -231?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31047 * 5\nAnswer: -155235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 74.01.\nAnswer: 37.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 8 - -9 - (20 - 30) - (-46 + 3)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -2*sqrt(252)*-2 + -1 + sqrt(252) + 5)**2 - 2*((sqrt(252) - (sqrt(252) + -1 + sqrt(252) + sqrt(252) + -3))**2 - sqrt(252)).\nAnswer: 492*sqrt(7) + 7040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(162) - sqrt(20)\/sqrt(160) - ((-2*sqrt(66)\/sqrt(3))\/(-2*sqrt(11)*1 + sqrt(11)))**2.\nAnswer: -4 + 35*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -944 - -1907. Round v to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:53 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9350*p**5 + 60735*p**4 - 74540*p**3 - 89145*p**2 + 55720*p + 240 = 0.\nAnswer: -1, -4\/935, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224629 or 5840319\/26?\nAnswer: 5840319\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 11*m + 0 = 9 - 43, 3*t = -3*m - 42 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -98166*i. Let v(q) = q**2 + 447*q. Calculate p(v(y)).\nAnswer: -98166*y**2 - 43880202*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 3156028*y - 1245064092098.\nAnswer: -2*(y + 789007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 46*q**2 - 18*q - 60. Let f be b(16). Suppose -3*l + 5*w + f = -7929, -2*w + 25792 = 4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times -9.64?\nAnswer: -857.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 2*w - 4, -5*w - 2945 = -4*g - 2935 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from {i: 10, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 24 = -25*q. Let j be q\/((5\/25 - 0)*10). What is the highest common factor of 81 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4809.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 0 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/9*6)\/(21\/714*-34)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziyusyuuyucu. Give prob of picking 2 u and 1 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 867\/(-170) - (-3)\/10\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*h**2*t - 73*h*t**3 - 116*t**3 wrt h?\nAnswer: 28*h*t - 73*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 413, 4, 2, 57 in increasing order.\nAnswer: -33, 2, 4, 57, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*i + 2643*i = -2808*i - 276720 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24753 and 19365543.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/24 and 85\/869358?\nAnswer: 3477432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -19. Let j = h + 12. Solve 2*o = -j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19643461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 15112823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*k - 0*k - 32, 0 = 5*q + 2*k - 28. What is the least common multiple of 6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -522118, -3, 16 in increasing order.\nAnswer: -522118, -5, -3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 3) + 3 + 1 + (1 - 82)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -309, -379, -443?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/77474646 and -41\/120516116.\nAnswer: 1084645044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 13*m + 45 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2818319, -5636643, -8454965, -11273285?\nAnswer: -14091603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osw when three letters picked without replacement from {o: 1, s: 5, b: 3, u: 1, w: 1, v: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 13 - (6 - 4). Suppose 7*t - 3*t + l = 0. Put 5, -4, t in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 3*n + 0*n + 7*n - 7*n - 11*n + 1 - 1 + n + (-n - n + n)*(2 - 2 - 2) as c + r*n and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(231)*-5)\/((sqrt(567)*-2 - sqrt(567) - sqrt(567)) + sqrt(567) + sqrt(7)))\/(sqrt(300)*1*4*-2).\nAnswer: -sqrt(11)\/208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:59 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**3 - 2*t**3)*((6*t - t - 2*t)*(-3*t + t + 4*t) + (17*t - t - 4*t)*(5*t - 3*t + t + 0*t + 0*t + 2*t + (2*t + 1 - 1)*(-1 - 7 + 2))).\nAnswer: 156*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*s**4 + 297264*s**3 + 691769042*s**2 + 6551698560*s + 15544371200 = 0. Calculate s.\nAnswer: -4640, -19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(11\/(-6)). Let m = -0.8 - -1.1. Sort m, f, 3\/7.\nAnswer: f, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wndnddndwd. What is prob of sequence wdwn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 1. Suppose 5*m - c = -x + 38, 0 = -m - 1. Suppose -1 = -4*p - 3*b + x, -b = -1. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**2 + 14*d - 14. Let i(g) = 2*g**2 - 3*g + 3. Let u(l) = -14*i(l) - 3*q(l). Let y(t) = -9*t**2. Determine u(y(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 9 + 30. Let z(i) = -i**2 - 13*i - 12. What is the remainder when z(-10) is divided by 8\/(-12)*l\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 + 9*h - 4. Let s(g) = -9*g**2 + 8*g - 3. Let x(o) = 4*s(o) - 3*t(o). Let j(p) = -2*p. Calculate j(x(l)).\nAnswer: 6*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -530, -1104, -1684, -2270, -2862, -3460, -4064?\n\"Answer: -3*b**2 - 565*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7488*b + 1537*b + 1156*b + 541*b as s*b + a and give s.\nAnswer: 10722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 773*i + 5408. Let f be z(-7). Put -8, f, 19\/6 in decreasing order.\nAnswer: 19\/6, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f\/(f*f*(f**1\/f)\/f))*f**4*f*(f*((f**(-1\/4)\/f*f)\/f)\/f)**23 assuming f is positive.\nAnswer: f**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {o: 4, j: 3, n: 3, e: 2, h: 4, p: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, y: 2, c: 7}. Give prob of sequence yyz.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -122.2. Let d = 1911 - 1910.8. What is the fourth smallest value in t, 58, d, 3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaarannnnra. What is prob of picking 2 a and 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let g(q) = -53*q**2 - 6*q + 6. Let d(p) = -476*p**2 - 56*p + 56. Let o(j) = -3*d(j) + 28*g(j). Give t(o(v)).\nAnswer: 6272*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029966528?\nAnswer: 2, 137, 345571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 6. Let z = -4 + 3.6. Suppose -3*b = b. Sort b, u, z.\nAnswer: u, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3328 is divided by 142.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3304 - 3304 - 136*b to the form k*b + n and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4976\/6*(-12)\/8. Let o = -758 - z. Let k = o + -190. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 18. Suppose 48*r - 62*r - 270 = -32*r. What is the remainder when r is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8835515?\nAnswer: 5, 13, 181, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 43, 109, 225, 403, 655, 993?\n\"Answer: 2*r**3 + 7*r**2 - 7*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*((-6)\/49)\/((-62)\/(-31)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 + 88 = 0. Let f be -1 + d - 9\/(-3). Let j be f*-50*(-2 - -4122). Round j to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2264117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + i. List the prime factors of 25 - (3 - i - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278776 divided by 2\nAnswer: -139388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -102, 23, 174, 357, 578, 843?\n\"Answer: l**3 + 7*l**2 + 97*l - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*v = -2*r - 1383, 0 = -2*v. Let t = 476 - r. Calculate the remainder when 479 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**7\/210 - 2*m**6\/45 + m**5\/6 - m**4\/3 + m**3 - 19. Let n(q) be the third derivative of d(q). Find w, given that n(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396)*-4 + sqrt(396)))))) + (sqrt(11) - (sqrt(11) + -4)*-6 - sqrt(11)))*2)**2.\nAnswer: 2304*sqrt(11) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 68 + (3048\/(-10668))\/(-2*2\/(-168))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Let u = 0.03 + 0.97. Which is the nearest to 0? (a) -0.3 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*h - 20, 2*f + 6 = 17*h + 2*h + 78 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13041295*r**4 - 99*r**2 + r - 10202.\nAnswer: -312991080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192703 is divided by 768?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u - 1\/120*u**5 + 0*u**2 + 2\/3*u**3 - 1\/6*u**4 + 2. Let z(h) be the third derivative of t(h). Determine z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 3*i**3)*((-2 + 4 - 3)*(-i**2 + i**2 + 2*i**2) + 4*i**2 + 2*i**2 - 5*i**2 - i**2 - 5*i**2 + i**2 - 4*i**2 + 3*i**2 - 6*i**2).\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + 66*b**2 - 2*b - 11. Let o be n(22). Put 0.4, o, 2\/7 in decreasing order.\nAnswer: 0.4, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2200*o + 35206. Determine f(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 17567*g + 17564*g - 193, -3*g = r + 190 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1)*41\/164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 2 - (-2)\/2. Let v(z) = -2*z - 8. Is v(w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127908.47 - -3378.03. Let a = d + -131175.4949. Let w = -111 + a. What is w rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81216192 by -40608096.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10307281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3060\/(-136)*6\/(-5). Suppose 7*t + 25 = 2*t, -t - d = -2*o. Solve 5*y + 3*w = -o, 3 = -4*y - 5*w + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 490, 2409, 5754, 10525, 16722, 24345?\n\"Answer: 713*b**2 - 220*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 3*c = 248. Let i(a) = 3*a**2 + a**3 + c*a - a**2 + 3*a**2 - 26*a - 2. Suppose 4*t + w = -13, -w + 16 = -t + 3*w. Determine i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 84 = -0*w. Suppose -w = -0*v - 3*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37978526 rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 10 - 4 + 53247*z + 9 - 13149*z.\nAnswer: 40098*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 95 = 3. Let f = 3059 - 3109. Is m not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1003*d**2 - 715*d + 4. Let i(v) = -2006*v**2 + 1433*v - 7. Let t(f) = 7*c(f) + 4*i(f). Find the second derivative of t(x) wrt x.\nAnswer: -2006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/77 - (-237166)\/11. Suppose -64534 = -3*z + 185246. Let k = l - z. What is k rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.940019704 + -51.94. What is w rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 165*n + 1. Let u be f(3). Let a = 622732 + -622701. What is the greatest common divisor of a and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226*o**6 + 2542*o**5 + o**3 - 9*o**2 - 22*o + 814 wrt o.\nAnswer: -27120*o**3 + 152520*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 4240554444?\nAnswer: -4240554450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229509*n**3 - 317*n + 2827 wrt n.\nAnswer: 1377054*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) -758.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 18. Let z(o) = o**2 + o + 7. Let c be z(0). Suppose 0 = n + 3*b + c, -4*b - 12 = -b. Solve -y*v = -v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15969 + 191503\/12. Find the common denominator of u and (-2 - -2) + 225\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 3. Suppose 2*i + 43 = -3*b, 62 = -4*b - 8*i + 3*i. Let a be v(b). Is (-8)\/20 + 2514\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-899) + 41580\/4118 + -35*(-18)\/(-63).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -1 (c) -2\/7 (d) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j - 32. Let n be i(4). Let v(m) = -m**2 - m + 1. Let r be v(n). What is the smallest value in r, 4\/3, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*r**2 + 69*r**2 - 8*r**2 + (2*r - 3*r - r)*(2*r + 0 + 0).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by 139.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16626\/12551 - (-2)\/(-11))*427. What is the highest common divisor of n and 360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14 = 8. Let g be 2*2\/8*(r + 26). Suppose -8*b - 36 = -4*w - 4*b, w - g = -2*b. Solve u - w = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4970 - 4827. Calculate the greatest common factor of n and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2129 + -2131. Put 4, -84, -6, b in increasing order.\nAnswer: -84, -6, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-2)\/((-2)\/5)). Let y = 156 - 151. Which is the nearest to r? (a) 1\/2 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**3 - 26*w**3 - 8*w - 3*w**3 + 16*w - 3*w as i*w + k + m*w**3 + v*w**2 and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-95))\/((-60)\/(-16)*(-4)\/(-150)).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/8 - (-117)\/(-312). What is the second derivative of -2 - j**t + 10*j + 2 - 19*j**2 + 2*j**4 - 7*j**2 + 4 wrt j?\nAnswer: 24*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181326*h**2 - 60413*h**2 - 60457*h**2 - 60455*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 364*f - 109183. What is k(300)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/15 + (-8)\/5. Let w = -0.044 + 0.05. Let f = 0.016 - w. Which is the third biggest value? (a) -0.2 (b) f (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4115 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9966256 = -g - 1876933. Suppose 4*z = 5*q - 10800025, -5*q - g = 3*z + 10652. Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2cb (base 15) to base 12\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/16588 and -53\/52676.\nAnswer: 16803644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(13) + 5 - (sqrt(13) + 0)*-5)*2)**2 - (sqrt(637) + 3 + sqrt(637) + 2)**2*-3.\nAnswer: 660*sqrt(13) + 9691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -108883.55 to the nearest one thousand.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 3*j**3 - 3*j**3 + 27*j**3 - 12*j**3 - 13*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 941922.8ml in litres?\nAnswer: 941.9228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - l + 42. Suppose -10 = 2*s - l*s + p, -5*p + 25 = 0. Solve -s*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/135, 16\/5, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-17)\/(-153)). Suppose 45*m - 42*m = w. Suppose -s - m = -2, -r + 11 = 2*s. Calculate the highest common divisor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-3))\/(247\/(-585)). Let g = -151\/190 + l. Find the common denominator of 81\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x)\/x)**(32\/5)*(x**(-8\/7)\/x)\/(x\/(x\/x**(-12))*x) assuming x is positive.\nAnswer: x**(758\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33634.9 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 14*l\/3 - 20\/3.\nAnswer: -2*(l - 5)*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i)\/(i*i*i**(-1\/4)*i)*(i\/i**(1\/4))\/i*i**(-2\/11)*i*i assuming i is positive.\nAnswer: i**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082555 to the power of 1\/2, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**5\/9 - 112*u**4\/9 + 134*u**3\/3 - 508*u**2\/9 + 208*u\/9 = 0.\nAnswer: 0, 1, 4, 26\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9769 + -9761. Suppose 9*a = 4*a + 75. Solve 11*c = t*c - a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469414.3 decades in months?\nAnswer: 56329716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16b + 143448?\nAnswer: 1435b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 30 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*p + 39, 42*b - 71 = 43*b - 9*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32c (base 15) in base 10?\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 + 0 = 0. Suppose -6 = -2*d - m*u - 2*u, -4*u = -d + 21. Find the common denominator of ((-213)\/d)\/((-32)\/(-6)) and -93\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.6, -5, 485\/3, -1.8, 0.1, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54593483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.178 less than 2942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/47 - 70\/141. Which is the fourth biggest value? (a) -4 (b) 38\/5 (c) q (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14837.5 + 14837. What is the third biggest value in -3, -0.06, -3\/2, s, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**2\/5 + 22*t - 78\/5.\nAnswer: -2*(t - 13)*(4*t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143, 281, 427, 509, 455?\n\"Answer: -12*m**3 + 76*m**2 - 6*m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:18 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-49)\/7 - 23)*6\/(-20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 + 25\/(-9). Let d be j\/(-9)*18\/2. Suppose u - d*u = -16. Calculate the remainder when 15 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -72. Let w(j) = -5*j**3 - 4*j**2 - 7*j. Let h be w(-3). What is the highest common divisor of m and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000621942 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 96 + 18 + 5*g**2 - g.\nAnswer: 5*g**2 - g + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 31. Solve 0*i + 2*i + 12 = 5*r, -i + 7 = z*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/12536937 and -79\/18.\nAnswer: 25073874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 + 0)*(-4*f - 2*f + 4*f) + 4*f - 6*f + 3*f + 8 - f - 11 + 0*f to the form c*f + g and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 1. Suppose 5 = -h + 2*h. Suppose 0 = x - h*x + 4. Let r be i(x). Solve -2*k = -r*l - 1, -3*k - l - 7 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4028566 and 334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10489*z + 34253. Let k(c) = c**2. Calculate g(k(v)).\nAnswer: 10489*v**2 + 34253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 1, t: 1, f: 1, j: 2, y: 3}. What is prob of picking 1 f, 1 y, and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5259825 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: Which is the closest to 2\/5? (a) -4\/11 (b) -2\/19 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1815) + sqrt(1815)*4))\/(sqrt(33)\/((1*sqrt(77))\/sqrt(7))) + 0.\nAnswer: -275*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, c: 1, p: 1}. Give prob of sequence cm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose 2*p = -h*p + 14. Suppose 3*j = 4*q - 8*q + 51, 2*q = j - p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/12 + s**2 + 3*s. Let x be g(0). Solve 2*o = o - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289879 or -289811?\nAnswer: -289879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343990 is divided by 390661?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = -3, 0 = 3*a + y - 40. Let c(q) = -3*q**3 - 73*q**2 + 47*q - 32. Calculate the remainder when c(-25) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197 + 9*j + 884*j**2 + 103 + 105 + 25*j wrt j.\nAnswer: 1768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 685.9 - 136.9. Let i = w + -549.9. What is the closest to 3 in 0, -1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 q when three letters picked without replacement from nqjdiil?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3296 - 23019\/7. Find the common denominator of v and 89\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 + 5*x. Let d(b) = -b. Let c(i) = -d(i) + n(i). Find the second derivative of c(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292946 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 25. Suppose -4*s + 52 = -2*h, -2*h = 3*s + s - j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*c + 105, 3*c - g + 754542 = 754503 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -158 and -0.203.\nAnswer: -158.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*(-600)\/160)\/(55\/132).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*m**4*o**3 - 2*m**4 + 182*m**2*o + 4*m*o**3 wrt m?\nAnswer: -4872*m*o**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22332635 (base 7) to base 8\nAnswer: -7317026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7852 = 225*b + 77*b. Suppose 2*v - o = 43, 0*v + o + 106 = 5*v. Is b at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y - 27. Let x be u(8). Let j = -89 - x. Solve j*s + 1 = -s - 2*n, -3*s + 2 = 5*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 + 435\/3. Suppose 0*a + 3*a - x = 0. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/120 - 7*o**5\/60 + o**4\/4 - o**3 + 3*o**2. Let d = 8 - 2. Give b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3 + 20*f**2 - 22*f = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -2*j. Suppose -j*x = -33 - 17. Calculate the remainder when 17 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12186080*q**2 + 25147879 with respect to q.\nAnswer: -24372160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1381 + 1503. Solve -86 = -18*n - h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 2*n - n)*(-2*n - 3*n + 4*n) - 111 + 111 - 9*n**2)*(0*n - 3*n + n).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3268? (a) -2\/5 (b) -0.1 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*n + 138, -2*n + 105 = -9*u + 6*u. Suppose 2*q + c - 3 = 0, 0 = q + c - 1. Suppose -48 = -q*v - v. What is the highest common factor of n and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 196 = -4*r, -2*r = -7*r + 5*f + 195. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 - 9*f + 7. Let l(t) = -31*t**2 + 46*t - 35. Let h(r) = -11*a(r) - 2*l(r). What is h(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -511 + 237. Let h = 5210278 + -5210551.9851. Let g = f - h. Round g to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -499 - -501. Suppose -3*p - 2*j + 3 + 12 = 0, 0 = -g*j. Let c(l) = -l + 3. Let a(t) = t - 3. Let f(v) = 5*a(v) + 4*c(v). What is f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**2 + 198*h - 16. Determine m(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - c - 4 + 15*c + 23 to o*c + h and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*h - 11 = 5, -s - 5*h - 13 = 0. Let v be s\/8 + (-7)\/(-4). Suppose v*q - 14451015 = -851015. Round q to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/450 and 17\/15.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6142879?\nAnswer: 6142879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/6 + 2*k. Let a(o) = 8*o + o - 3*o + 6*o + o. Determine r(a(j)).\nAnswer: -338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 2) + 280 + -261 - (31 - 1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.76 + 11.94. Round t to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245504 (base 8) in base 12?\nAnswer: 410b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 1212*u**3 + 1187*u**3 - 55*u**2 + 39 - 39 + 14*u**2 in the form t*u**2 + m*u + v + o*u**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 11, j: 7}. Give prob of picking 4 g.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7*b. Suppose b = -3*c - 3*s + 36, 4*c = -3*s - 4 + 48. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*r = 187*r + 858 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 183, 1 in ascending order.\nAnswer: 1, 4, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657 not equal to 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-18)\/(-24)*(-2)\/9)\/((-1512)\/36666)?\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) -4 (c) 141 (d) -23 (e) -2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyrrlrryryryryrrry. What is prob of picking 2 r?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 80*u**3 - 51*u**3 - u.\nAnswer: -131*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1778500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 30953.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Suppose 0 = 4*r - c*v + 23 + 13, 5*v - 20 = 0. Is (106\/r)\/(4\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379567607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 32. Suppose -3*l - 3*t + 321 = 0, -4*l + 2*t + 563 = l. Calculate the greatest common divisor of l and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*h**3*u - 2*b**3*h**3 + 23*b**3*h*u + b**3*u**2 - 92*h**3*u**2 + 2*h*u**2 wrt u?\nAnswer: 2*b**3 - 184*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127481931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/8, 68.\nAnswer: -3\/8, 0.1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 36*c + 36. Let p be n(-12). Let h = -150 + p. What is the highest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3380, -14 in descending order.\nAnswer: 1, -5, -14, -3380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*m - 2*a, -3*a = -2*m - 12 + 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -5)*4 + -4. Let o(d) be the second derivative of 1\/40*d**5 + 0*d**2 - 1\/24*d**4 + f*d**3 + 2*d + 0. Factor o(a).\nAnswer: a**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/13, 7, 2, 0.06 in ascending order.\nAnswer: -4, 0.06, 2\/13, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/12)*200\/(-75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 = -6*j + 8, 6*j - 5 = -2*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -56. Suppose -3 = -z, -c = -3*t - 3*z - 0*z. Suppose l + 5*d - 76 = -l, -2*l = 2*d - 64. Calculate the greatest common factor of l and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.563 - -0.643. Let j = -2381053 - -2381052.91999982. Let f = c + j. Round f to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 77.91. Round t to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4 - 3320*w**3 + 3095064*w**2 + 12420128*w + 13091. Factor p(l).\nAnswer: 4*(l - 1246)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19669 and 620?\nAnswer: 20289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/9 + 2368*v**2\/9 + 100688*v\/3.\nAnswer: 4*v*(v + 186)*(v + 406)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 23 = t + 5*d, 3*d + 1 = 4*t. Suppose 193 = t*l - 59. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*w + 9. Let k(h) = -h**3 + 12*h**2 + 13*h + 24. List the prime factors of k(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - f + 1. Let o(d) = -d**2 - 1. Let m(g) = -6*o(g) - p(g). Let z be m(0). What is the highest common factor of 25 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*t - 1182. What is the remainder when t is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - t**3 + 8*t**2 - 7*t**2 + 0*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**5\/15 - g**4\/24 + 3*g**2\/2 + 3. Let v(i) be the second derivative of b(i). Find the second derivative of v(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.69 + 1.31. Let q = l + -90. Sort 1\/2, 2\/3, q, -3.\nAnswer: -3, q, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -3) + (25 + -3 - 33)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-9 + -4 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 46*z**2 + 33*z + 549. Let t be w(45). Let q(v) = 11*v**2 + 6*v - 5. Let g(x) = 23*x**2 + 13*x - 11. Give t*q(a) - 4*g(a).\nAnswer: 7*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 57809*g + 3.\nAnswer: -57809*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 297\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s - s**3 - 5*s - 7*s - 14*s**4 + s**2 + 12*s**4 to the form a + x*s**4 + p*s**3 + b*s + o*s**2 and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k - 2*k + (-2 + 2*k + 2)*(1 + 0 - 3) + k + 3*k - 2*k)*(2 - 1 - 5) as d + t*k and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 - l**2 - l. Let p be n(-1). Let i(f) = -2*f - 40. Suppose 27*d = -826 + 232. Let j be i(d). Solve -10 = p*c - j*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -32*m**2 - 8 + 33*m**2 - 5 + 3 as o*m**2 + h*m + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58074866237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (580\/50)\/(((-2)\/(-15))\/((-102)\/153)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 84*y**3 + 21*y**2 - 21*y - 21. Let k(u) = -21*u**3 - 5*u**2 + 5*u + 5. Determine 5*h(j) + 21*k(j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(1\/2))\/x))\/x**17 assuming x is positive.\nAnswer: x**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 13. Let c(p) = 4*p + 13. Let y(h) = -2*c(h) + 3*w(h). Let i be y(-8). Let o = -7 - -13. What is the third biggest value in i, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.025, -5, 6\/5, 1\/4, 0.272?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -23*m + 47. Let q be k(-4). Let a = -133 + q. Put -3, -4, 4, a in ascending order.\nAnswer: -4, -3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(28) - (4*(sqrt(112)*-3 - sqrt(112) - sqrt(112)) - sqrt(112) - sqrt(112))**2.\nAnswer: -54208 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -179*j**6\/120 - 31*j**4\/4 - 374*j**2. Find the second derivative of n(g) wrt g.\nAnswer: -1074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 + 76*q**4 + 9388*q**3\/3 + 21546*q**2 + 131587*q\/3 + 25370 = 0. Calculate q.\nAnswer: -177, -43, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211\/812 - 2\/203. Factor r*q - 1\/4*q**2 + 1\/4 - 1\/4*q**3.\nAnswer: -(q - 1)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -27. Let o = -6 - p. Suppose -3*c = o*c. Solve c = -5*v + 5 - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291432 is divided by 326?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) + 1*sqrt(95)*-6))\/((sqrt(240)\/sqrt(24) - sqrt(40))\/sqrt(8)).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n + 36 = 0. Suppose -12*h = -348 + 48. What is the remainder when h is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35051829 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 382326.3 hours?\nAnswer: 1376374680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 11*k**5\/20 + 5*k**3\/6 + 4*k**2 - 11*k. Let v(x) = -x**3 + x + 1. Let z(i) = f(i) - 5*v(i). Differentiate z(h) wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p. Suppose p = -10*q + 9*q + 635. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000642 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 200. Suppose q + 2*q + z = 0. Is ((-1)\/(-2))\/((-2)\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*v + 17, -40*b + 25 = -35*b - 5*v. Solve -1 = -b*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*k + 16, 4*k - d = -5*d - 32. What is the second biggest value in -2\/19, k, 1\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 13) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(91)*2*-5*-2)\/(5*(sqrt(560)\/sqrt(5) - sqrt(7)))*-2)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -767, 0.5.\nAnswer: -767, -101, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1703888.64999962 - 1703889. Let d = w - -0.35. Round d to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 5. Let q = -37.3 - u. Which is the smallest value? (a) q (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1626, 11, -2, -5 in descending order.\nAnswer: 1626, 11, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from dbddddddwwobodo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**2 + 24*u**2 + 10*u**2 + 22*u**2.\nAnswer: 78*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2385299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -13)*1\/7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(2\/3)\/(((c*c**(-2\/3))\/c)\/c)**25)\/((c**(3\/5)*c*c**0*c*c)\/(c**(5\/2)*c**(-8))) assuming c is positive.\nAnswer: c**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 458\/5. Let t = -8 + 1. Let u = 4 + t. Which is the closest to l? (a) -0.1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*m + m + 3*m)*(-3*m**2 + 2*m**2 - 3*m**2 + (2*m - 2*m + 2*m)*(0*m + m + 0*m)).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from {m: 15, g: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4275489, 8550929, 12826333, 17101701, 21377033?\n\"Answer: -18*r**2 + 4275494*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 6. Suppose -k*l - 6*y + 2*y + 290 = 0, -y + 489 = 5*l. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/8)*(-117)\/234.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 10 = -5*t, 2*t = 5*c - 29. Suppose -2*h + 3*g = h - 1716, g + 2872 = c*h. List the prime factors of h.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001933483418 to 7 dps.\nAnswer: -0.0019335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 31 + 11. Suppose 5*o = -1 + t. Let l(h) = 2*h**2 + h. Let v be l(o). Solve -2*p - v = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -162*j**5 - 4266*j**4 - 43092*j**3 - 203604*j**2 - 425258*j - 260642 = 0.\nAnswer: -19\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616469069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 3*g - 160. Let v be 2*((-1)\/2 - g) + 3. Factor 2*s**3 + 6\/5*s**v - 18\/5*s**5 + 0*s + 0 + 2\/5*s**2.\nAnswer: -2*s**2*(s - 1)*(3*s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - q**2 - 4*q + 3. Let x be a(2). Let w(s) = -3*s - 2*s + x*s. Let z(p) = -17*p. Give z(w(i)).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005822 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054128 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29*k = 34*k + 8, -4*b + 5*k = -18. Solve 10 = f - b*w, 4*f - 13 = 3*w - 4*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = 56*o + 486 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6)\/(10\/(-15)). Suppose 0 = m + a*m - 12. Calculate the least common multiple of m and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuffuf. What is prob of picking 2 u and 2 f?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-209)\/154)\/(-19)*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(3435*g - 29 + 1199*g + 29 + 30749*g + 1222*g) to h*g + x and give h.\nAnswer: -36605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjujuuj. Give prob of sequence jj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 40*q + 134 - 63 + 114 = 0, -2*q = 19*p - 22*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/29))**(8\/11)*p**(-2\/7)\/(p\/p**(-11)) assuming p is positive.\nAnswer: p**(-27322\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:16 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763.\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 115?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/3)*x**(-3\/5))\/(x**4\/(x*x**(-2\/11))) assuming x is positive.\nAnswer: x**(-514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2115)\/180*82\/(-41)*(-6)\/((-9)\/3)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 3*v**2 + 9. Let u(f) = f**3 - f**2 + 4. What is 4*p(y) - 9*u(y)?\nAnswer: -y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.0063 + -44. What is d rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 124\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/4 - 1) + (-3)\/4. Is -3 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - w - 1, -15*w - 20 = -10*w. Sort -7, 2, s, -2, 4.\nAnswer: -7, -2, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169846.63 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16118 + 18900. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057 plus -0.8?\nAnswer: -0.7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222000222001200211 + 1?\nAnswer: 222000222001200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -34.2. Which is the closest to 1\/4? (a) 5 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 238? (a) 1 (b) -2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -79, -111, -139?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaeegggggegyaxa. Give prob of picking 3 e.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771.2247 centimeters to kilometers.\nAnswer: 0.007712247","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45 = 48. Let o = f + -29. What is the third derivative of 12*p**o + 4*p**2 - 12*p**6 - 6*p**2 wrt p?\nAnswer: -1440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/(v**(-1\/4)\/v))**(5\/14) assuming v is positive.\nAnswer: v**(-75\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*q - 3*q - 5 = 0, 4*r - q - 3 = 0. Let n = 8 + -7.4. Let s = 2.6 - n. Which is the second biggest value? (a) r (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(((-32)\/(-64))\/(2\/4)). Let g = 0 - 4. Sort w, g, 8 in descending order.\nAnswer: 8, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 - 0.3. Let a = 0.29 + p. Suppose -i = h - 1, -4*i + h - 2*h = 8. What is the second biggest value in -4\/9, a, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ccgcgggggcggcccg.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1931341 from -32.7.\nAnswer: -32.5068659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (-71)\/(-5) - (-5)\/(-150)*6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**2 + 12*c**2 + 4*c**3 - 22*c**2 + 2*c**4.\nAnswer: 2*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 3\/28114?\nAnswer: 3\/28114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**7\/840 + 7*w**6\/360 + w**5\/60 + w**4\/12 + 4*w**3 + 13*w**2. Let m(h) be the first derivative of t(h). Calculate m(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-3)\/(-10)). Sort a, -5, -2 in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (1 + -3 - (-2 + -2)) + -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3795 and 94403155?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 83 = 8*y. Put 5, -3, y, 1 in decreasing order.\nAnswer: 5, 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51.9615 - 51.9. What is s rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -27. Let k = t + 20.6. Let j = k + 1.4. What is the closest to -0.4 in 0.2, -3\/5, j?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*d - 20 + 116*d + 3*d**2 + 0.\nAnswer: 3*d**2 - 50*d - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from {e: 9, x: 2, m: 1, w: 1, y: 3, s: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 11*f + 104 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**6\/60 + 7*g**5\/20 - 9*g**4\/2 + 58*g**3\/3 - 40*g**2 - 12*g + 7. Find a, given that z(a) = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**3 - i**3 + 25*i**3 + 5*i**3.\nAnswer: 75*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18*j**2 - 12*j + 34. Let s be k(4). Let h = -232 + s. Calculate the remainder when 154 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -7 + 13 - (1 - 3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2266 and 1854.\nAnswer: 20394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 80951?\nAnswer: 2671383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 87*j**3 + 2*j**2 - 14*j - 15. What is i(-1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.94 - 0.16. Let n = j + 29. Which is the closest to -2? (a) n (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/7 - 74*v**4\/7 + 1020*v**3\/7 - 6200*v**2\/7 + 2000*v = 0. Calculate v.\nAnswer: 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -109716?\nAnswer: 31\/109716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258.9676 + -0.0324. Let a = s + 213. Which is greater: a or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693817 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 13 = -5*i, 18*i = 23*i + 5*m - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.789 in -0.06, -3\/2, -335\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189734.\nAnswer: 2, 19, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3409775421.\nAnswer: 3, 13, 229, 381791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 91.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.07. Let g = 4.6 + -0.6. Let f = g - 3.5. Which is the nearest to -2? (a) -4 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -3 + 15\/5. Let a = -371 + 371. Solve a*f + s*f = -25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.332 * -0.4256\nAnswer: 1.8436992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + v - 4*v)*(1738 - 849 - 858).\nAnswer: 62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -217*q**2. Let v(z) = -z**2 - 24*z + 77*z - 27*z - 26*z. Determine b(v(r)).\nAnswer: -217*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l - 246 = -66*l + 251*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1158 = -3*h + 3*u, 16 = 4*u. Calculate the common denominator of 2\/12 - h\/24 and -57\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 + w + 8. Suppose 0*r = r, -4*g = r - 20. Give q(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.070403 and -5.\nAnswer: 0.352015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 652, -4, 9, 356, 0 in descending order.\nAnswer: 652, 356, 9, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30836929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 345 + 363. What is the second biggest value in k, 79, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l - 2*l = 256212. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49187021 - 49187021 - 114*d.\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -146*d**2. Let c(x) = -393*x**2 - 184*x. Calculate c(w(a)).\nAnswer: -8377188*a**4 + 26864*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/10145 - 15542131\/91305. Let p = 170 + v. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 6*a**2 - 20 - 11*a**2 + 4*a + 2*a**2. Let l(m) = -m**2. Calculate t(l(d)).\nAnswer: 6*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22699\/4669 - -3\/667. Suppose m + 2497*u = 2498*u - 42, m + 5*u + 90 = 0. Find the common denominator of m and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f = r - 165*f - 3, 0 = 3*r + f - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(sqrt(55)\/(sqrt(5) + sqrt(5) + sqrt(30)\/sqrt(6)))*2 + -3 + sqrt(171) + 1 + sqrt(171) + sqrt(171) + 0 + -2)*4)**2.\nAnswer: -1920*sqrt(19) + 68656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*d - 34, -2*d - 4 = -4*d. Differentiate y + 26*u**3 + 65*u**4 - 26*u**3 - 6 wrt u.\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinhinihihniniih. What is prob of sequence niin?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 43652072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Solve -4*t = 5*f - 4 - m, 0 = t - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*z + 23, -3*z - 11 + 4 = 5*d. Let m be (-2)\/5 - 27\/(-5). Which is the nearest to 2\/5? (a) m (b) 0.01 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -11 + 32. Suppose -3*f + 4 = -f. Factor -29*b**2 + b**3 + 2*b**z - 24 + 11*b**f + 36*b.\nAnswer: 3*(b - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 2*i**4 + 3*i**4 + (6*i - 25 + 25)*(0*i + 0*i - 2*i**3) + 2*i**4 - 5*i**3 + 5*i**3 in the form o + j*i**4 + c*i**2 + z*i**3 + y*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*a + 0 + 2*a + 0 + (2 - 3 + 0)*(-2*a + 2 - 2))*(-8 + 8 + 8*a) - 4*a + 4*a + 2*a**2.\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -353, -205, -57, 91, 239?\n\"Answer: 148*a - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 3 (b) -4 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*w**2\/3 + 1330*w\/3 - 68 = 0. Calculate w.\nAnswer: 2\/13, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/5 - 23846*s\/5 = 0. Calculate s.\nAnswer: 0, 11923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -151 - 3586?\nAnswer: -3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/13, 0.037, -3, 1, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 28*h**2 - 3. Let l(c) = -225*c**2 + 25. Give 3*l(m) + 25*y(m).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Suppose h*t = 10, -2*v + 4*t + 7 + 23 = 0. Suppose -a + 0*a + 4 = 0. Solve -2*z = -4*j + z - v, a*z - 12 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q**2 - 109*q**2 + 38*q**2 + 43*q**2.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 + 27*j**2 + 15*j**2 - 50*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.1 - -12. What is the third smallest value in -2\/11, 3, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:46 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/20 - 13*v**4\/6 - 12*v - 20. Factor p(l).\nAnswer: l**2*(l - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9353043?\nAnswer: 3, 7, 17, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761 by 61929.\nAnswer: -761\/61929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhhihihhiihl. Give prob of picking 3 h and 1 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -49, -61, -59, -37, 11?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)*s**2)\/(s\/(s*((s\/s**(-2\/5))\/s)\/s))**(-8))**(26\/5) assuming s is positive.\nAnswer: s**(949\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(7\/3)\/c)\/c*c)*c)\/c*c**(1\/11)*c)\/(((c*c**(3\/8))\/c)\/c)**(-24\/7) assuming c is positive.\nAnswer: c**(-320\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*p - 3*w + 6 = 272*p, 0 = -4*p - w + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*x = -6, -4*y + 42*x - 12 = 38*x. Solve -6*j + 3*j + 15 = y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p - 3*p, -3*p - 387296 = -b. Let c = b - 52670349\/136. Let f = c - -6\/17. Calculate the common denominator of f and 85\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69, -134, -297, -600, -1085, -1794, -2769, -4052?\n\"Answer: -7*n**3 - 7*n**2 + 5*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 548, 437, 328, 221, 116?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - ((-32)\/16)\/(1 - -1). Let p be t + (-1)\/((-920)\/21356). Let q = p - 16\/345. Find the common denominator of 3\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 5)*(-16 + 16 + b) - 4 - b + 4)*(-8 - 5 + 3) in the form k*b + i and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 26 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*a + 203, -b = a + 74 - 269. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let w(j) = 2*j - 3. Let z(l) = 6*l - 8. Suppose 3 = p, 5*g = 2*g + p + 36. Suppose 0 = -k + 5 - g. Let v(x) = k*w(x) + 3*z(x). What is v(b(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1168 or -1167?\nAnswer: -1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**4\/14 + 5*o**3\/7 + 3*o**2\/14 - 6*o\/7 + 70. Factor a(x).\nAnswer: 3*(x + 1)*(x + 2)*(2*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10890677*x**2 - 22*x**3 + 10890677*x**2 + 8*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18231380113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0 - 4*b + 0. Let o(q) be the first derivative of 2\/3*q**3 + 0*q**2 + 0*q + 4. What is o(z(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**3 + 4*p**2 - 4. Let x(u) = 8*u**3 - 5*u**2 + 5. Determine 5*r(b) + 4*x(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuyyyiwuyyiy. What is prob of sequence iy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - f + 8 - 77 in the form w + o*f and give w.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 10, 21, 36?\n\"Answer: 2*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + j**2 + 3*j + 3. Let u be w(-2). Let r be ((-6)\/u)\/((-1)\/5). Calculate the remainder when (-2)\/r*(34 + -4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*z + 285, 2*v + 3*z - 160 = 5*z. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3)*t**(-2\/5))\/((t\/(t**(1\/12)\/t*t))\/(t\/(t*t*t*(t**6*t)\/t))) assuming t is positive.\nAnswer: t**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 1)\/(-5)*(-2)\/37. Let d = -162\/259 + f. What is the smallest value in -0.5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*b**4 + 374*a - 2448*b**2 wrt b.\nAnswer: 4*a*b**3 - 4896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + 69. Suppose -o - g = -5*d + 3*o, -4*d + o = -145. Let c = d - 8. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -56. Let g be (-3)\/(0\/(-3) - 6\/q). Solve g*w + 12 = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 338*u**2 - 1647*u - 233. Give x(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -12. Suppose -5*w + 82 + 22 = 4*d, 0 = -5*w + 3*d + 132. Let g be (-150)\/(-4) - w\/16. Calculate the greatest common factor of g and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 - 4*b**2 - 3*b - 1. Let a = -18 + 17. Is 4 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27873 at most 306594\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -820 by -1.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 + 4 + 0*f**2 - 4*f**2 - 9*f + 0*f + 3*f. What is the tens digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 844, -52, 0, 5, -2, 2 in decreasing order.\nAnswer: 844, 5, 2, 0, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10644*l. Let m(d) = 3*d**2 + 3*d. Calculate m(j(k)).\nAnswer: 339884208*k**2 + 31932*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 20*t**2 - 84*t + 0 + 67\/6*t**3. What is the derivative of y(w) wrt w?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3 - 11. Let v = x - -2. Let z = 173\/581 + -1\/83. Put v, z, 0.5 in descending order.\nAnswer: 0.5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 230*q - 5965. Determine k(40).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 - 3*k**4\/2 + 99*k**3 + 101*k**2 - 10197*k\/2 + 9801\/2 = 0. What is k?\nAnswer: -11, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 6731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 5 (b) -3\/4 (c) 1985 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + o**3 + 4*o**2 + 6 - 8 - 2*o. Let n be m(2). Is -471*-2*n\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + -23?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55252.\nAnswer: 2, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 divided by -573?\nAnswer: -1853\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*j. Suppose 8*m - 27 + 11 = j. Let v be (-5 + -3 + m)\/((-10)\/(-5)). Let r(d) = -d**3 - 2*d**2 + 4*d. Give r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 38 = 4*a + 225, -2*p + 104 = -a. Suppose -4*w + p = -41. Let m(h) = 6*h**2 - w + 23. Let q(b) = -2*b**2. Give m(q(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(405) + 4*sqrt(405))*6)**2.\nAnswer: 1620*sqrt(5) + 364509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49576*a**3 - 49635*a**3 + 99148*a**3.\nAnswer: -63*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369*o**4 - o + 5114 with respect to o.\nAnswer: -1476*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*t - 24 = 316*t. Let -349 - 3*i**t - 6*i**2 - 12*i**2 + 3*i + 367 = 0. Calculate i.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -119, 1.4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -56, -99, -146?\n\"Answer: -2*w**2 - 33*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:07 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53545 (base 6) to base 8\nAnswer: -16251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(34)\/sqrt(2)*-4.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 3. Let i be h(-5). Let l be 309\/12 - 1\/(-4). Suppose -3 = z - 7. Solve -15 = k + 3*a, i*k - l = z*k + 5*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4 + 108*h**3 + 1392*h**2 + 5696*h + 7680 = 0.\nAnswer: -4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 50\/3*t - 2\/9*t**2 + 52 = 0.\nAnswer: -3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = -4. Let d be 10\/(-2) - 2 - 156\/(-10 - 2). Let 1499*k**4 - 2*k**5 - 1508*k**l + d*k**3 + 5*k**5 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -24*z. Let h(a) = 10327*a**2 - 2*a. Calculate h(u(b)).\nAnswer: 5948352*b**2 + 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + d - 2. Let j be w(-3). Suppose 5*k - 4*k = 7. Calculate the greatest common divisor of k and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 46*s + 2. Let o be h(-23). Which is the third smallest value? (a) 5 (b) -5 (c) o (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61491545*q**5 + q**2 - 2*q - 15472259 wrt q?\nAnswer: -3689492700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -261*a - 3390. Let l be q(-13). Solve -m - 2*c + 11 = 0, l*m + 5*c - 6 = 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 86*p - 851. Give v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*a - 88 + 32, 38 = 5*a + 4*c. Let s = -78 + 168. Calculate the greatest common divisor of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 6\/11, -344, -1, -2, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1900) + 0 + (3*(sqrt(1539) + 2) + sqrt(1539))**2.\nAnswer: 442*sqrt(19) + 24657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u - 40 = 0. Differentiate -19*m + 8*m + u + 16*m with respect to m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39086591 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j + 1. Let y be t(-2). Suppose -55 - 8 = -y*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53850*b + 2*a + 136 = 53846*b, -5*a - 60 = 2*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2\/2 + 16. Let y be g(4). Let q(h) = -h - 2. Calculate q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-104)\/624)\/(7\/6). Sort -0.456, 0.1, j in decreasing order.\nAnswer: 0.1, j, -0.456","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 take away 1.8167766?\nAnswer: -128.8167766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 25458.6.\nAnswer: -7637.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let m(h) = 38*h**2 + h + 79. Determine m(u(j)).\nAnswer: 38*j**4 - j**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001683656 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10493 - -24533. Does 166 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*m + 32 - 25, a + 19 = 4*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 1.2. Let d = z + 1.5. Is 2\/11 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606570011?\nAnswer: 9631, 62981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (63966\/(-13707))\/(-1*6\/117)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {f: 3, r: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -518 - 11952. Is 32 a factor of x\/(-6) - (-7)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -2*l**5\/3 - l**4\/4 - 11*l**3\/6 + 3*l**2 + 27*l - 6. What is q(-2)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-45) + (-282)\/(-10). Find s, given that 16*s - 16*s**2 + 3 + 32*s**3 - 3 - i*s**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:32 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 - 281*c**2 + 73739*c\/5 - 901131\/5 = 0. What is c?\nAnswer: -517, 21, 83\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26957 is divided by 6591?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*y - 39*y - 22*y)*(4 - 3 + 1) to m + q*y and give q.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16813.284 months in decades?\nAnswer: 140.1107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18462 is divided by 129?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3 - 3)*(-222 + 589 - 290) + (-3 + 2 + 3)*(4*r - 6*r + 3*r) + 4*r - 2*r - r - 7*r - 5*r + 4*r.\nAnswer: -390*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (285\/9)\/1. Let u = y + -31. What is the third smallest value in -0.1, u, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6765 by -5.\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 - 2*t**2)*(-59*t + 27*t + 36*t) - 2*t + 2*t + 3*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + 1.89. Let k = 5.7 + o. Let l = k - 8. Which is the nearest to 1? (a) 0.2 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times -0.3?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 - 145.3. Suppose 146 = 4*r + 126. Which is the third smallest value? (a) u (b) -0.4 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:12 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*x = -71, -4*x - 11 = 3*f + 51. Let n be -2*(-2)\/f + (-161)\/(-49). Suppose -n*w + 99 + 3660 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/7 of a week in hours?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*v + 6 = 10, -5*a = -2*v - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 8\/33*l**3 + 0*l**2 + 1\/165*l**6 + l + 2\/11*l**4 - 3\/55*l**5. Solve z(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 128?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-24)*(54\/5)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 7*g**2 + 4*g**2 + 7*g**2)*(-12*g - 4*g + 0*g).\nAnswer: 48*g**4 - 64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) + 26\/(-130). Suppose w = -67*n + 938795 - 53256. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -3*c - 267 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2*1)\/(3\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - (2 + (6 - (9 + 0))) - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4 - 84*r**3\/5 - 411*r**2\/5 - 84*r - 108\/5 = 0.\nAnswer: -2, -1, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12200120020211 (base 3) to base 4\nAnswer: 23201330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5976 is divided by 81.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:24 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*v**3 + 4*g**2 + 75*g*v**2 - 1231*v**3 + 15 wrt g.\nAnswer: 2*g*v**3 + 8*g + 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -683\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, k: 9}. What is prob of picking 3 k and 1 r?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621222895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134520533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*z - 8 = 0, -v - 16 = 4*z - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((-1*sqrt(380))\/sqrt(10))\/(sqrt(2) - (sqrt(98)*4 - sqrt(98))))**2.\nAnswer: -1581\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w**2 + 1)*(0 - w + 0) + (44*w - w**2 - 1 + 277*w - 289*w)*(6 - 5*w - 6).\nAnswer: 4*w**3 - 160*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -19*y - 25*y. Solve 0 = y*l - 23*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -6, -10 in increasing order.\nAnswer: -10, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14593, -14604, -14619, -14638?\nAnswer: -14661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - -2107. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*y + 312 - 295 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12\/(-28) - (-150)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 129 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 3*n - 11, 7*c - 5 = 12*c - 5*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144687, -144669, -144643, -144609, -144567?\n\"Answer: 4*p**2 + 6*p - 144697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4823847\/2 and -2411925 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 533.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, o: 1, e: 1, h: 4, l: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let h(s) = -4*s**3 + t*s**2 - 6*s + 6*s. Suppose 3*d - d + 9 = 3*x, 4*x = -5*d + 35. Let r(c) = -7*c**3 + 5*c**2. Calculate d*r(q) - 5*h(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 17*y + 18. Let u be l(-16). Suppose -k - 20 = 4*z - u*k, 3*z - 3*k = -6. Let q(t) = t**3 + 6*t**2 + 2*t + 2. Give q(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6583 - 6597*g**2 - 148*g + 148*g - 6583 to d*g + b*g**2 + c and give b.\nAnswer: -6597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645162380 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2444443 (base 5) to base 13.\nAnswer: 18448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a**2 - 2*a - 17. Let f(b) = -3*b**2 - 4*b + 1. Give d(j) - f(j).\nAnswer: 25*j**2 + 2*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + -424?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {s: 1, e: 1, i: 1, o: 2, u: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -2)*(-5)\/2. Let r(s) = 2 - 13 + 5 + 0*s - 5*s + 4. Let n(f) = 4*f + 2. Calculate d*r(t) - 6*n(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -10)*((-21)\/(-6) - 1). Let v = 33 - x. What is the second derivative of -8*s + v*s**5 + 4*s + 0*s**5 - 4*s**5 wrt s?\nAnswer: 280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r + r. Let w be (1 - r) + (2 - 1). Solve 3*x + 4*h = -27, 0 = -4*x + w*h - 4 - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4228088 to the nearest integer?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2. Let q(i) = 33 - 2*i - 16 - 17. Determine q(d(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*a + 11 - 1, -2 = -g - 2*a. Suppose g*k - 52 + 2 = 3*h, 0 = -3*h - 6. Let o = -17 + 29. What is the remainder when k is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128232888.\nAnswer: 2, 3, 7, 251, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)\/x**(1\/3)*((x*x**(-3))\/x)\/(x*x**(-4)*x))\/(x**(-5)*x*x\/(x*x**(2\/17)))**(-5) assuming x is positive.\nAnswer: x**(-5743\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1355 + 847 + 748 + n)*(-n**3 + 2*n**3 + 0*n**3) + (n**2 + 0*n**2 - 3*n**2)*(0*n**2 + 3*n**2 - n**2).\nAnswer: -3*n**4 + 2950*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let r be k(0). Let z be (r*1)\/((-3)\/6). Suppose -4*l = -z*l. Is l at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7788 and 1749.\nAnswer: 412764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**2 - 589*p - 566. Let z(s) = -6*s**2 - 198*s - 189. Let x(t) = 3*g(t) - 8*z(t). Solve x(k) = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 22, 36, 54?\n\"Answer: 2*o**2 + 4*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - z = 22, 5*z = 5*p + z - 33. Suppose i - 3*v = 66, i + p*v = -3 + 29. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - a + 3*a, -10 = -m - 2*a. Solve 2 = -0*z - m*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = -b + 8, 0 = -b - 5*s + 6. Let k(q) = -q - 3. Let p be k(-6). Let y(w) = -w**2 + 7*w - 1. Calculate the remainder when b is divided by y(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426644 (base 7) to base 8\nAnswer: 221256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from gnngkng?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 145350659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78203 - 5?\nAnswer: -78208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-30) + (-36)\/(-10). Suppose -4*d - 12 = -4*w, 3*w + 0*d = -y*d - 19. Which is the smallest value? (a) -2\/9 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 251.9187 months?\nAnswer: 20.993225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28350 - -28490. Let f = 9 - -11. Calculate the greatest common factor of f and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 - f**2\/2 + 8*f - 1. Let k be h(0). Suppose 5*w - k = 4*w. What is the remainder when 22 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -70696.\nAnswer: 25\/35348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 83958524 - 83958182 = 0 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92644618 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j - 19*j = -50*j - 189. Let l(w) = -w**3 - 5*w**2 - 3*w - 1. Let x be l(-5). Solve 0 = 15*d - x*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 419717 and 10701?\nAnswer: 3777453","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-3) + 6)*18\/(-2). Suppose -6*j + 12 + z = 0. What is the third derivative of 3*c + 80*c**2 - 51*c**2 - 11*c**j - 3*c wrt c?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.007 (b) 1\/12 (c) 0 (d) -2698 (e) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + l = -0 - 1, -4*l + 12 = -4*m. Suppose 2*x - 3 - m = 0. Is (x - 0 - 1)*23 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + 0 + 4 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24769 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 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g - 462 = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -13. Let n = f - 12. Let l = 1.96 - -0.04. What is the third biggest value in l, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9828 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k + 7. Let i(f) = -f**2 + 5. Let x(j) = -j + 6. Let r(d) = k*x(d) - 6*i(d). What is the second derivative of r(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = 71*k - 95. Which is smaller: 5\/338 or k?\nAnswer: 5\/338","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 70\/1 - (-60040)\/3160?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*h - 2 - 4 + 6 to f + s*h and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 274245 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + (5 - 2 - 2)*(-1 - 1 + 0))*(-10*j + 19*j + 21*j).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**9*g*g))\/g**(-10))**27 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28969 (base 14) in base 9?\nAnswer: 163043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 2*m**3 + m**2 - 7*m - 6206. Let b(w) = -4*w**2 - w + 5. Calculate 7*b(g) + 5*c(g).\nAnswer: 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25893, 7, 2\/9, -0.5, -0.1.\nAnswer: -0.5, -0.1, 2\/9, 7, 25893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/5841594 and 137\/531054?\nAnswer: 5841594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*f + 2 = -129*f. Let t = -1.1 - -0.1. Which is the closest to f? (a) t (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*b - 46*x + 50*x - 152, 4*b + 2*x = 50 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 423922531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111\/20 - -24\/5. Let o = -4.78 - 0.22. Which is the third smallest value? (a) o (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 935.66 - 936.66. Let p = 27 + -18. Put -3\/8, a, 2\/11, p in descending order.\nAnswer: p, 2\/11, -3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/((-20)\/(-323)) - -2)*-8. Does 19 divide (l*6\/(-4))\/(177\/59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15596795*x**2 + 36882*x - 26.\nAnswer: 31193590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 5*h + 3289. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101980996.\nAnswer: 2, 13, 1961173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -86*d - 1891. Determine g(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4737727 to two decimal places.\nAnswer: 10.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 - 112. Suppose -p + x*z + 12 = 0, 23 = 3*p - z + 5*z. Suppose i - 105 = -2*i. Calculate the remainder when i is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 254*o**3 - 567*o**3 + 220*o**3 + (0 + 2*o**3 + 0)*(-2 + 1 - 1) - 2*o**3 + 3*o**3 + 2*o**3.\nAnswer: -94*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*w, 0 = -2*l - 2*w + 10 - 0. Let h be ((-3)\/(1 - 19))\/((-2)\/(-8)). Which is greater: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.601 - -0.34. Let q = 0.129 + d. Round q to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 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: Two letters picked without replacement from {a: 8, q: 9, f: 2}. Give prob of sequence aq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 8*y - 18*y + 6*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 2*q + 1. Let o = 4 + -2. Let c be z(o). Let k be -2*c\/(-4)*-10. Let y(x) = x - 1. Determine y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2))**(31\/3)*(j*(j*j**(-1))\/j)**(-11\/5))\/(((j*j\/(j**(-1)\/j)*j)\/(j*j**(-2\/3)*j))\/((j**(2\/3)*j)\/j)**(9\/7)) assuming j is positive.\nAnswer: j**(-335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/5)\/(77\/(-3080)))\/2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v + 45. Let g = -5 + 8. Suppose g*k + v = 27. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h. Let i(v) = v. Let w(y) = -6*i(y) + p(y). Let f(a) = -a**2 + 9*a + 12. Let n be f(10). Let r(u) = -8 + 5*u**2 + 6 + n. Give w(r(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11800222.\nAnswer: 2, 7, 163, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10872*c**3 + c**2 + 2*c + 682 wrt c?\nAnswer: 65232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 4, q: 2, l: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*-18*33\/(-1584)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (150\/(-35))\/(9\/(-42)). Let y(g) = 2*g - 42. Let a be y(h). Let r be (a\/8)\/((7\/(-14))\/(-1)). Do 48 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*w + 755*w = -300 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 91. Suppose 2*x - 3*x - 4 = 5*r, -5*x + 46 = 3*r. What is the remainder when h(12) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 78*q**2 - 36*q - 14. Determine b(15).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*v**2 - 11*c**3 - 9*c**2*v + 2*c*v - 3*v**2 + 107 wrt c.\nAnswer: 12*c*v**2 - 66*c - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 12*f - 14. Let p(t) be the third derivative of t**5\/60 + 13*t**4\/24 - 5*t**3\/2 + 55*t**2. Let b(x) = 2*c(x) - 3*p(x). Give b(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620107 is divided by 142?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 20. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17886\/17 - -1052. What is the closest to 1 in -9, 4, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1 - 9*x - 8 + 21*x + 7. Let n be v(4). Factor 20*l + n*l**2 + 75 + 10*l - 43*l**2.\nAnswer: 3*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -564 and -0.0144?\nAnswer: 8.1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + x - 1. Let p be u(1). Suppose 4*n - p*t - 12 = 0, -3*n - 2*t - 10 = -t. Let i be 99\/(-15) + (12\/(-5) - n). Put 2, 3, i in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:10 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/15)\/(4\/5). Let n(x) be the first derivative of 0*x**b + 4 + 0*x - 3\/4*x**4 + 3*x**2. What is the second derivative of n(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -7*u + 8*u. Suppose -u = -c + 636. Suppose -c - 324 = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 12567442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 442106\/2 + (-90)\/16 + (-102)\/272 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4004\/26)\/14)\/(44\/372).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*s = -249*s - 14335880. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 160?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, 5*b + 3 = 4*j - j. Let m be 28\/(j + 1) - -1. Suppose 6*d = 2*d + 8. Solve d*i + m = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -17. Suppose -a + 6 = -3. Suppose k - 3*k - a = w*r, 2 = -2*r. Which is smaller: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7 + 1\/24*w**4 + 0*w**2 + 1\/9*w**3 + 0*w. Let t(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667*o**2 + 832*o**2 - 7*o**3 + 835*o**2.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -199, -427, -747, -1159?\n\"Answer: -46*y**2 + 2*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 - -33 - (8 + -13))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-6) - 12\/(432\/(-190572)).\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*w = 0. Suppose 3*h - 5*i - 5 = w, -1 + 4 = h - i. Let a = 0.3 + -0.6. What is the nearest to 2\/5 in -1\/8, h, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -33*j**2 + 11*j - 11. Let h(k) = k**2 - k + 1. What is b(l) + 11*h(l)?\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -1685?\nAnswer: -16a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. What is the units digit of ((-62)\/4)\/(q\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u + 4*f, -9 = 3*u - 7*f + 2*f. Let z be ((-16)\/20)\/((-4)\/30). Let g(h) = -h**3 + 5*h**2 + 7*h - 3. Let q be g(z). Is q at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 + 3*o - 7. Let y be d(-6). Let s = 105 + 71. Factor -96*j - y*j**2 + s*j + 10 + 55*j**3 + 10.\nAnswer: 5*(j - 2)*(j - 1)*(11*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11048968 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 108002411.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/11, 1\/4, 0.2, -3\/2, -5 in increasing order.\nAnswer: -5, -18\/11, -3\/2, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**25)**9 assuming w is positive.\nAnswer: w**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/(10\/(-6)). Suppose 0 = 2*y - 58 + 12. Let q = 24 - y. What is the biggest value in 2\/7, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20947621?\nAnswer: 17, 1232213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -556736?\nAnswer: -556736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:45 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5180018206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*s - 4, -4*g + 3*s - 5 = -19. Let m(u) = -g*u**2 - 4*u + 6*u**2 - 1 + 2*u. Let v(t) = t - 3. Let f be v(2). Determine m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1)*v)*((v\/v**(2\/9))\/v)\/v)\/(v**(3\/8)*v**(-2\/7)\/v))**(-2\/35) assuming v is positive.\nAnswer: v**(157\/8820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -83. Does 29 divide 1740\/(-24)*p*(-6)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 8. Let h(u) = -4*u**2 + 3*u**o - 1 - 2*u**3 + 0*u**2 - 2*u. List the prime factors of h(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423127850.\nAnswer: 2, 5, 8462557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 25 - 73 = 0. Let t = j + -30. What is the second smallest value in t, -0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633763 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j**5 - 892*j**4\/3 - 1460*j**3 - 2700*j**2 - 3880*j\/3 + 224 = 0. What is j?\nAnswer: -7, -4, -3, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58 - 5?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*p - 30, 3*p - p - 3 = -b. Let j = 0.2 - 0.2. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*x - u - 2, -4*x + 3*u + 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -484, -766, -1098, -1498, -1984?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -133562 divided by -45\nAnswer: 133562\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (28 - (12 - -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 67599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9137 (base 11) to base 8.\nAnswer: 27554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 12) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1116 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 19*w**2 - 38*w + 70. Let m be o(17). Let q(x) = -40*x**2 + x + 69*x**2 - 28*x**m - 4. Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1117.7 + 1118.2. What is the closest to -1 in d, -18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 + 12 = 0, 4*f + 4*n = 5148. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208441627377 plus -12?\nAnswer: -208441627389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -3*n**4\/4 - n**3\/3 - n**2 + 1821*n. Let i(w) = -10*w**2 - 3*w - 3. Give 3*f(k) - 2*i(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1694\/1573)\/(14\/4)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u + 1. Let l be w(4). Let j = l + 130\/3. Which is the nearest to j? (a) 1 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1 (c) -2\/5 (d) 7\/5 (e) -761817\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 2, -35, -70, -103, -134?\n\"Answer: z**2 - 42*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1535877227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -996*w**4 - 425 + 39*w**4 - 189 - 42 - 185*w**4 wrt w?\nAnswer: -4568*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 - 7*u + 6. Let y = 17 + -24. What are the prime factors of p(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/7 - 9*i**2\/14 - 6*i\/7 - 11. Factor y(x).\nAnswer: -3*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - ((-53 - -40) + -27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e9071 (base 16) in base 3?\nAnswer: -102122212011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 54*x - 317. Let t be y(-15). Sort -32, 8, t.\nAnswer: -32, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/60*3*15\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323203?\nAnswer: 3, 17, 45553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000962099719 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.1 to the nearest integer.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102221112 (base 3) to base 14.\nAnswer: -2b079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 552392107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + y**2 + 1 + 5*y + 0*y. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -9. Let v(f) = f**2 - 5*f - 7. Let t be v(n). Let u = t - 10. Calculate the smallest common multiple of 11 and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y + 2. What is the tens digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 35, 107, 233, 425, 695, 1055?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4807092*k**3 - 2685*k**2 + 22*k - 5 wrt k?\nAnswer: 28842552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 4)*((-2 + 1 + 3)*(4 - q - 4) + 2*q + 4*q - 5*q - q + 0*q - q - 27 - 12*q + 27) as h + m*q and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15 and -25\/81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 7*b**4\/12 + b. Let t(f) be the first derivative of -f**2 + 488. Give a(t(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -108*v**2 + 2*v - 388. Let y(o) = 124*o. Calculate r(y(n)).\nAnswer: -1660608*n**2 + 248*n - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p + 93. Let y be a(-8). Suppose 24*t - 19*t = -b + 305, -5*t - y*b = -325. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, j: 2, r: 1, m: 1, n: 1}. Give prob of sequence wjjd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*s*v + b**2*s - 4*b**2*v + 219*b**2 + 409*b*s*v + 2*b*s + 5*b*v wrt b.\nAnswer: 6*s*v + 2*s - 8*v + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5. Suppose -6*a + 237 = 207. Determine k(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.4 and 590.6.\nAnswer: 588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 - 5*c**2 + 7*c + 6. Suppose 5*x = 2*l + 15, 3*x + 0*l - 2*l = 13. Let v(s) = s**3 - s - 1. Let w(m) = x*d(m) + 6*v(m). Determine w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 7*p**2 + 23*p + 3. Let k be x(9). Calculate the remainder when (16\/(-136) + k\/(-153))*9 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -255*b + 3. Let q be t(2). Let i = -59 - q. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -1\/2 (c) 32.3 (d) -0.1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7.199 * 19407.6\nAnswer: 139715.3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.1 - -79.15004. Let i = -16.95 + 17. Let j = u - i. What is j rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60009121 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.82 + 25.9. Is 0.7 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120111676 to the nearest integer?\nAnswer: 10960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.084914 times -4?\nAnswer: -28.339656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {b: 3, p: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 48, 81, 130, 201?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*z**5 + 982*z**4 - 31*z**3 - 200089135*z wrt z.\nAnswer: 5240*z**3 + 11784*z**2 - 186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -7*o - 108. What is the lowest common multiple of o and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) -2\/3 (c) -18\/5 (d) -25 (e) 238 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Suppose -x*r = r. Suppose m - 340016 = -4*j, r*m + m + 3*j = 340012. What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**4\/5 - 664*x**3\/5 + 2636*x**2 - 12512*x\/5 = 0?\nAnswer: -184, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, d: 2, g: 1, z: 4}. Give prob of sequence gd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 76. Let c be k(0). Suppose -y - c = -3*y. Calculate the highest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 - 10*n - 9. Let h(u) = 10*u**2 + 16*u + 14. Let f(l) = 8*b(l) + 5*h(l). Does 5 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*((sqrt(125) - (2 + sqrt(125))) + -5 + -4))**2.\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/7 + (-2592)\/198.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/11307 and -107\/16728.\nAnswer: 63047832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/10)\/(12\/60). Let i be p*5 - (8 + -5). What is the second derivative of 11*o**i - 4*o**2 - 7*o - 7*o**2 - 8*o**4 wrt o?\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/4)\/((-5)\/(160\/(-12))). Suppose t = n + n + 8, 4*t - c = -n. Suppose -80*s = -78*s - t. Solve s*g = 4*x + 5 + 21, -3*g - x = -11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9*p - 15. Let w be n(-9). Let h be (-3 + w\/(-9))*(-3)\/2. Suppose -c = -h*c + 188. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 72*p + 8. Calculate i(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457*n + 33570 + 330222 = 994*n - 19*n for n.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 4. Calculate the remainder when 23 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8274413 is divided by 2772?\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/21)*d**(-12))\/(d**(3\/8)\/(d\/((((d\/d**(4\/5))\/d)\/d)\/d))) assuming d is positive.\nAnswer: d**(-7043\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388982 and 726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 18 + 17 - 13 + 33*c)*(2 + 0 - 1).\nAnswer: 33*c + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.341 + 0.7?\nAnswer: -2.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 7412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 217048?\nAnswer: 217048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2995*w - 2967*w = -6001*w + 4485. Let o(y) = 28*y**2 - y. What is the remainder when w is divided by o(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*a**3 - 73*a**3 - 40*a**3 - 34*a**3 - 8*a**3.\nAnswer: -307*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-8*((-35)\/10)\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 2*t**3 - t**2 - t**2 to the form x*t + c + n*t**2 + g*t**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9776 or -9811?\nAnswer: -9776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/((k**6*k)\/k))**41 assuming k is positive.\nAnswer: k**(-1804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from egooteeee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.93 - -2.83. Suppose 0 = p - 2. Let b = 1\/13 - 15\/26. What is the third biggest value in d, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/2))**(-38)\/(u\/u**15*u\/u**15) assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4623133 (base 9) to base 6.\nAnswer: 125253050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36568 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 2.13\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -7.3283.\nAnswer: -7.6283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (113*g - 283*g - 249*g)*((3 - 5 + 3)*(-2 - 1 + 4) + 0 + 1 - 4) to the form l + x*g and give x.\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -44. Let x(y) = 4*y - 4. Let v(i) = -i + 1. Let z(r) = l*x(r) - 9*v(r). Determine z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253 - -258. Solve -z = -5*a - 1 + 2, -3*z - 3 = -g*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/9? (a) -5 (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-12) + 9)*(-24)\/(-100).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -65*f**2 - 27*f + 118. Let h(c) = -22*c**2 - 9*c + 39. Let k(s) = 17*h(s) - 6*m(s). List the prime factors of k(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:30 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Let k be (4 - 3)*(m + -1). Which is the closest to 0? (a) -0.3 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 120?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2\/5 - 9733988*x\/5 - 58403208 = 0.\nAnswer: -2433467, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4950316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + 14703\/13. Suppose -4*c + j = 4*l, -1156 = -5*c + c + 4*l. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in -0.5, 1\/2, -5, 2\/5, 0, 31\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/28)\/(0 - -2))\/((-18)\/(-60))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364 is divided by 167.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - d - 1695, -3*k + d = -1271. Let t = k - 196. Suppose 16*q - t = 12*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1102 in -2, -9\/4, 132?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 46. Suppose -o*g = g. Solve g = 5*c - 7 - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b + 8*b - 9*b - 63 + 62. Give j(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1381, 10777, 36157, 85483, 166717, 287821, 456757, 681487?\n\"Answer: 1327*a**3 + 30*a**2 + 17*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.8 - 122.8. What is the third biggest value in 0.4, k, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0 - 188*u**2 + 179*u**2 + 0. Let p(l) = 3*l. Give d(p(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - m + m)*((26*m + 10*m - 23*m)*(2 - 2 - 13) - m - m + 5*m) to k*m + c + a*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/7))**(-2\/7))**(-38) assuming t is positive.\nAnswer: t**(684\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*4*3*sqrt(300) + -5)**2.\nAnswer: -7200*sqrt(3) + 1080036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 457453.\nAnswer: 457448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 2*w**3 - w**2 + 11*w**3 - 13 + 11 - 6*w**3 + 6*w**4 as y + n*w**4 + t*w + d*w**3 + o*w**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 9. Let n = i + 1. Let q = 1051.7 - 1052. Which is the second biggest value? (a) q (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661182235 a multiple of 6861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q**5 - 19*q**4 - 115*q**3 + 259*q**2 - 132*q = 0.\nAnswer: -4, 0, 1, 33\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/25*(-4)\/(-1)*(-45)\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - 2 - (-48 - (7 - 57)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-105)*((-20)\/48)\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 789648.8ml in litres?\nAnswer: 789.6488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 8*b + 14. Let f = 9 + b. Suppose -6*k + 4 = -4*k + 4*o, 0 = 2*k + 5*o - 5. Solve -f*q - 2 = -4*i, -2*q + 3*i = -k*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-21) - (-8)\/28. Let l = 66 - 34. Let v = l + -28. Which is the third smallest value? (a) 1\/4 (b) v (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32988116, -32988124, -32988132?\nAnswer: -32988140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 p when four letters picked without replacement from {e: 5, v: 1, z: 4, p: 4, i: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-16))\/(4*(-6)\/32). Suppose -2*n = -7*n - 40. What is the third smallest value in 5, h, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 1861318.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 - 2*18\/(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85250 and 553102.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7005049, -7005039, -7005029, -7005025, -7005033, -7005059, -7005109, -7005189?\nAnswer: -7005305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -148 + 149 - (0 + -2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = g, 4*h - 2*h + 3*g - 8 = 0. Let q be -9 - h\/((-5)\/10). Let b(s) = 2*s + 1. Calculate b(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (729\/810)\/(24\/(-70) + 0).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 2*h. Let i(j) = -j. Let l(q) = 2*a(q) - 4*i(q). Let k(y) be the second derivative of 53*y**4\/12 - 3*y**2\/2 - 3*y + 515. Determine l(k(b)).\nAnswer: 5618*b**4 - 636*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20889424 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500675 at most 10500670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9979 divided by 17?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 4\/17, -59\/11?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -634*n**2. Let r(t) = t**2 + 10*t. Calculate r(k(i)).\nAnswer: 401956*i**4 - 6340*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from {n: 6, g: 4, q: 3, r: 1}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 4, 32, -4, 5, 3 in descending order.\nAnswer: 32, 5, 4, 3, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139104 divided by 1449.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -1 - (2 - 0). Suppose c = 4*h - 2 - 6. Suppose 4*d = h*d + 44. What is the greatest common factor of d and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44400 = -60*k + 56*k. What is k rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 37. Let b(y) = 11*y - 6. What is the remainder when b(5) is divided by n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*a + 7, -3*r - 11*a + 7*a = -10. Solve -m = 0, 4*d - 3*d + 4 = r*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 3*i. Let d(u) = 71*u**2 - 65*u - 51. Let m(o) = -9*o**2 + 8*o + 6. Let s(g) = 2*d(g) + 17*m(g). Calculate -5*p(r) + 3*s(r).\nAnswer: -8*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.722 take away -327?\nAnswer: 137.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11434 and -4934.\nAnswer: -56415356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 17*l - 159. Let y(d) = d**3 - 13*d**2 + 9*d + 41. Let a be y(l). Solve -a*r + 13 = -7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 541329041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 241, 491, 827, 1249, 1757, 2351?\nAnswer: 3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*h - 3847, h = 2*r + 2*h - 1925. Let w be (5 + r\/(-200))*(-12)\/9. Which is the nearest to 0.1? (a) 1 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fut when three letters picked without replacement from tfuefrueeffffttur.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 57. Is -2 - (a + (1 - -2)*-414) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12*12\/(-48) - -6)*4. Solve -4*c - 5*u + 8 = 41, -3*c + d*u = -54 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 - q**3 - 2*q**3)*(-2 + 3 - 3) - 289 - 7*q + 289 + 27*q**3 to the form h*q + i + r*q**2 + y*q**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*h - h + 1, -2*h - 2 = 0. Let m(o) = -2*o + o + 2*o**3 - 4*o**3 - o**2 - 1. Calculate m(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1525194 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309\/2 + -619\/4. Let w = 31\/60 + -4\/15. Which is the nearest to -0.1? (a) -2 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 128. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2. Let y(v) = -2*v**2 + 4*v - 4. Let i(p) = -p + 2*p - 2 + 1. Determine r*y(z) + 4*i(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2c7 (base 14) to base 3\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 23553?\nAnswer: 23544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49539.002039 take away 0.038?\nAnswer: 49538.964039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Let q = 30 - 26. Suppose -4*d = -q*c - 8, 7*c - 2*c - d = 6. Let m(z) = -7*z**2 - z**c + 4*z**2 + 5*z**2. What is v(m(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6 and (109\/8)\/((-3)\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/2 + 3*h**2\/8 - 3*h\/4 - 5. Factor r(f).\nAnswer: 3*(f + 1)*(2*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m**2 - 19. Let g(c) be the first derivative of c**2 - 200. What is a(g(r))?\nAnswer: -48*r**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - ((-28 - -31) + 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303a184 (base 11) to base 4.\nAnswer: -110133203201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*m**2 - 2)*(-5 + 3 - 1) - m**2 - 4*m**2 + 3*m**2 + (-4*m + m + 0*m)*(m + 0*m - 3*m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbbbbbbbbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(56\/124) + (-1)\/2. Let j be ((-79326)\/i)\/(3\/(-75)). Suppose -8*h + 6 = -5*h, 0 = -2*o + 5*h - j. Round o to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 54 (c) 4 (d) 5 (e) -3 (f) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**4\/4 - 2*u**3\/3 - 3*u**2\/2 - 2*u + 5. What is k(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) - (-800201618)\/2190 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 12*r**2 - 5*r + 13. Let i be n(-13). Let q be (-39)\/i - (-78)\/14. Factor d**3 - 4*d**4 - q + 6 + 3*d**4.\nAnswer: -d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 + 432*a**2 - 440*a + 8. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + b**4 - 2*b**4)*((7 + 25 - 6)*(-2 + 7 - 3) + 2 - 1 - 2).\nAnswer: -153*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.767 - -0.767. What is the fourth smallest value in b, -5, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, -48 in decreasing order.\nAnswer: -5, -22, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 13*r**2 - 12*r + 2. Let t be p(-12). Suppose 4*o - 23 = 3*c, -t*o - 5*c = -2 - 29. Suppose 5*u - 4*u - o = 0. Solve 17 = -5*z - u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 2*q**2 - 3. Let w(s) = s**3 - s**2 - s - 1. Let m(o) = -7*o**3 + 7*o**2 + 6*o + 5. Let k(h) = m(h) + 6*w(h). Give -3*a(j) + 8*k(j).\nAnswer: -2*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37407668832 - 2.991\nAnswer: 37407668829.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1135\/11 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/25*k**3 + 0 - 4036\/25*k**2 + 1346\/25*k.\nAnswer: -2*k*(k + 673)*(3*k - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181463 is divided by 1646.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 16*b - 3. Let y be w(-5). Suppose -y*g - 4*k + k + 660 = 0, -g = -5*k - 317. List the prime factors of g.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*u**3 + 71*u**2 + 2290?\nAnswer: -102*u**2 + 142*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(6\/6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 25. Let x be ((-3)\/(-2))\/(n\/32). What are the prime factors of (-3 - (0 - x))*-42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b + 1. Let x(z) = -8*z**2 - 5*z + 5. Let m(v) = -5*n(v) + x(v). Let t(d) = d**2. Calculate t(m(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3108, 2732, 2366, 2016, 1688?\n\"Answer: s**3 - s**2 - 380*s + 3488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n. Suppose 2*a = -t + 4, -t + 3*t = 0. Let q(f) = -1. Give a*q(y) + b(y).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194674 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312170 divided by -2945.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a + 102. Let v be z(-5). Find the second derivative of -2 - 321*x**2 - 2*x + 323*x**v + 18*x**4 + 0*x wrt x.\nAnswer: 216*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 51*i**2 - 37*i + 5855. Give d(52).\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46195*l + 47446*l - 87519*l to h + u*l and give u.\nAnswer: 6122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12445*q - 24840*q + 5*q**2 + 12543*q in the form u + x*q**2 + k*q and give k.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + 6*(sqrt(76) + 1) + 5 + (1 + sqrt(76) + -3 - sqrt(76)) + 1 + 0)**2.\nAnswer: 216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t + 3. Let g = -10 + 12. Let m be v(g). Let z = 21 - m. Calculate the remainder when z is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 726*q - 3548 = -649*q, -2*q = c + 89 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4627 = 3*m, -4*m + 2*m + 2*x + 3088 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1050482.\nAnswer: 5\/1050482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1104216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - -3) + (-2730)\/550)*5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2058*f**3*k**4 + f**3*k - 7*k**6 - 92*k**3 - 8596984*k**2 wrt k?\nAnswer: 49392*f**3*k - 840*k**3 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7566.04 tonnes?\nAnswer: 7566040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*m = 12, m + 7 + 0 = 4*q. Suppose -q*t + 27 = 4*w, 4*w - 9 = -0*t - t. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 34*w + 38. Is m(9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 5*s - 4*s)*(7219*s - 14567*s + 7197*s + (3*s - 2*s - 4*s)*(-1 - 4 + 1))*(3 - 1 - 4) to r*s**2 + j*s + b and give r.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-14))\/(-3))\/(2365\/11825)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*h - 49, -1815*h = -1819*h - 2*r + 40 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490198160.\nAnswer: 2, 5, 79, 77563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8492785\nAnswer: -2\/8492785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 5\/((-20)\/371984). Suppose f + 0*f - g = -2*r, 0 = 3*r + 9. Round f to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from rrizapih.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17903 is divided by 4414?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.007921 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*n - 34 = -3*v - 2521, 3*n - 93781*v = -93784*v + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1. Let o(t) = -3*t + 3. Give 9*b(n) - 2*o(n).\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68052?\nAnswer: 2, 3, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19752, -19750, -19748, -19746, -19744, -19742?\nAnswer: -19740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -917, 5, 11, 2, -3 in ascending order.\nAnswer: -917, -3, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.302\nAnswer: 1.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 7*m - 11. Let w be j(7). Suppose 0 = -3*a + i + 572 + w, 0 = a - 5*i - 292. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/531 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85914\/(-3870)*(-5)\/(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/4)*z)**(1\/29) assuming z is positive.\nAnswer: z**(13\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/p*(p\/p**5)\/p*p*p*p**(-1\/28)\/p*p*p*p**14 assuming p is positive.\nAnswer: p**(307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139, -123, -99, -67, -27, 21, 77?\n\"Answer: 4*o**2 + 4*o - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394 divided by 1.\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/36)\/((-5)\/(-45)). Let q(f) = -f - 13. What is q(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 56 = 16. What is the first derivative of -n + 16*p**4 - 13*p**4 + 14*p**4 wrt p?\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 39. Let s = 52 + x. 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: b\"What is the jth term of 97, 113, 141, 181?\n\"Answer: 6*j**2 - 2*j + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2567970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14165, 3, 6, -3 in ascending order.\nAnswer: -14165, -3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) 36 (c) -43 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 10*w - 168 = -50*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*k = 555 - 554, -2*k + 18 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1651876516 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 72. Suppose -b = 2*c + 4, -3*b + 0 = -2*c - q. Sort c, -4, 11 in decreasing order.\nAnswer: 11, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -30*s + 34*s - 5*m, -2*s - 4 = -3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 120.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 282820 - -1531\nAnswer: 284351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqthwmqmhty. What is prob of picking 1 t and 2 y?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-23 + 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.044867 - -6.434933. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 45.7?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 0*h + 0*h + (-4*h - 4*h - 2*h)*(2 + 2*h - 2).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let c(m) = -5*m**2 - 6*m + 19. Let b(y) = -c(y) - 5*q(y). Let l = -2 - -7. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*o**2 + 213*o - 211*o + 46*o**2.\nAnswer: -21*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20570\/(-2278) + (-8)\/(-268)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 times -3.9?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-4))\/(-3) - 5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 930 (c) -126 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:22 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20662, -3, 5, 348, -4 in decreasing order.\nAnswer: 20662, 348, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -2*x - m, -3*x + m = 4*m - 495. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/((-4)\/132*-11)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6473362 and 266.\nAnswer: 122993878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*l, -2*l + f = -5*l - 20. Let k be (1 - 1) + 6 + 0. Let p = l + k. What is the highest common factor of 10 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 4941 (b) -0.2 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.834 - -1.534. What is the smallest value in c, -1\/13, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8243, -15722, -23185, -30626, -38039, -45418?\n\"Answer: t**3 + 2*t**2 - 7492*t - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1177*a - 35 - 8584*a - 45 + 80 + 396*a)*(2*a**2 - 3*a + 3*a).\nAnswer: -18730*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 23*k. Give r(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 9 = -6*h. What is the third derivative of -262*u**3 + 13*u + 281*u**2 + h*u - 41*u wrt u?\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {t: 9, n: 1, q: 9}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6704 is divided by 423?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -4. Let h = w + -2. Solve -3*k + 0 = -h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2 - 2 + (-4 + 1 + 4)*(-5*c + 5*c - 2*c) + c + 1 - 1 + 0*c + 0*c - 2*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145\/370 - ((-133)\/(-322) - (-12)\/138)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47489648*d**2 - 525442212 wrt d?\nAnswer: 94979296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 15) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (2 + (-11)\/33)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 2. Let u be m(0). Suppose -u*p + 0*p = 30. Let l = 21 + p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 + 239. Which is the fifth smallest value? (a) -0.4 (b) -3 (c) 0.2 (d) -1\/9 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1320\/50)\/(-11))\/2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 18*z = -180. Calculate the remainder when 30 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*a - i, -1 = -a + 2*i - 3. Let y = 1.22 + -4.22. What is the second smallest value in y, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 52. Let v = m + -8. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 7, m: 4, i: 4, b: 2}. What is prob of picking 1 m and 2 y?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5\/5 - 2108*a**4\/5 + 279101*a**3\/5 + 4067488*a**2\/5 + 5017044*a\/5 + 1230768\/5 = 0.\nAnswer: -12, -1, -1\/3, 198, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/2 - 5*b**2\/2 + 2*b + 4. Let u(k) be the first derivative of m(k). Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + t**2 - 1 + 1 - 1 + 2*t**2 + (-4*t**2 + 3*t**2 + 0*t**2)*(-1 - 2 + 1) + 147*t**2 - 75*t**2 - 20 - 73*t**2 in the form g*t + v*t**2 + q and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. List the prime factors of 39*x*(-2)\/15.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-1)*6\/8. Suppose 0*c - b*t + 16 = 5*c, 3*c = -t + 8. Solve 26*h**c - 11*h**2 - 4*h**2 - 9*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1*u)\/u)**37)**(-40)*(u*((u**(1\/2)\/u)\/u)\/u*u**5)**11 assuming u is positive.\nAnswer: u**(-2883\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6083838 divided by 1013973.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/(j\/(j\/(j\/((j\/j**(2\/45))\/j))*j))*j*j))\/j*j**(-3)*j\/j**1*j**(-10) assuming j is positive.\nAnswer: j**(-718\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9344417 less than 3108.2?\nAnswer: 3107.2655583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-105)*5*7*3. Let h(l) = l**2 + 11*l + 20. What is the remainder when h(x) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191067315.\nAnswer: 3, 5, 139, 91639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 21. Let t = -73 + 97. Calculate the smallest common multiple of t and u.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16547 - -16551. Let n(d) be the first derivative of 3\/2*d**2 + 25\/4*d**z - 12 - 2*d + 7*d**3 + 9\/5*d**5. Solve n(l) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -1082850\nAnswer: 4\/180475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63411 + -63417. Let d(t) = -4*t**3 + 7*t**2 + 5*t + 12. Let y(v) = -v**3 + 1. Let i(o) = -d(o) + 5*y(o). What is i(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1434.8284573 + -74.8280462. Let y = x + -1360. What is y rounded to five dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1485)\/300 - (-4)\/(-80)) + (-33)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69007, 137807, 206537, 275191, 343763, 412247?\nAnswer: 480637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166654*i**3*y**4 - 112*i**3*y - 6*i*y**5 + 2*y + 514 wrt y?\nAnswer: 1999848*i**3*y**2 - 120*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 21, 5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -542dcabb + 4?\nAnswer: -542dcab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482049 + -883963.01.\nAnswer: -1366012.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.07. Let s = 0.06 + k. Let v = 0.04000064 + s. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 41*x - 99. Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, v: 6}. Give prob of sequence vvvv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24539 is divided by 217?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90892 is divided by 285?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v**3 - 134*v**2 - 39*v - 6. Let o(b) = 13*b**3 + 134*b**2 + 46*b + 7. What is 6*o(l) + 7*p(l)?\nAnswer: l**3 - 134*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 7*d**2 - 2*d + 22. Give c(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1106492751*i**3 - 6082689*i - 6 wrt i.\nAnswer: 6638956506*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1064)\/21)\/19)\/((-190)\/24 + 8).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*1)\/sqrt(7)*3.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-12) + 0)\/(2\/(-33)). Suppose -4*n + 65 + y = 0. Is 16870\/n + (-4)\/(-6) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19848 and 69468.\nAnswer: 138936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5329170.\nAnswer: 2, 3, 5, 7, 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.68599 rounded to 1 dp?\nAnswer: 74.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - ((-20)\/12)\/(-5)*-3. Is (-4)\/90*t - (-33328)\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, s: 7}. What is prob of picking 1 s and 2 r?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 47462, 0 in increasing order.\nAnswer: -3, 0, 1, 47462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)*(-6)\/(-15). Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 3*r**2 + 2*r + 1505. Let y be g(0). Suppose 8*j + y = 15*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, v: 1}. Give prob of sequence bbvb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 267 + 0.05\nAnswer: 267.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-9 - (-1727)\/(-99))\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1014092 divided by 53\nAnswer: 1014092\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**3\/6 - 3*h**2 + 3. Let z(k) = -k**2 + 3*k - 4. Let r(d) = -d**2 + 13*d - 16. Let x be r(12). What is x*j(o) - z(o)?\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.7 - 11.32. Let z = -3.620736 - y. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*z + 2*s, -5*z + z + 2*s = -10. Suppose -4*g + 164 = z*c, 0 = 4*c + 4*g - 116 - 104. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(1 + sqrt(112) - sqrt(112)))**2 - ((sqrt(693) + sqrt(693)*-1)\/sqrt(11))\/(1*sqrt(576)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 4023*y**2 + 1362681*y + 9342669 = 0. What is y?\nAnswer: -667, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-620)\/48)\/((-1)\/(-2)). Let z = 26 + q. Which is the third biggest value? (a) -1 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*i + 7, -2*y + 43*i = 38*i + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 20, 51, 94, 149, 216?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3255, 3606, 4191, 5010?\n\"Answer: 117*n**2 + 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-6)*(-258)\/7353\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -470, -494, -530, -578, -638?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 250723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, 2\/3, -0.5, -17\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 4, -1 in descending order.\nAnswer: 6, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, b: 7, y: 4}. What is prob of sequence yc?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in -13\/5, -0.3, -1\/54, 5?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 i when four letters picked without replacement from grnrgwwwgiyignr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 739*r**5\/60 + 163*r**3\/2 - 33*r**2 - 5. What is the first derivative of s(z) wrt z?\nAnswer: 1478*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a + 100. Let k(y) = -2*y - 6. Determine k(j(l)).\nAnswer: -22*l - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 157480 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: Which is smaller: 0.4 or -13449\/206?\nAnswer: -13449\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 51. Let h(m) = -58*m**3 + 2*m**2 + 2*m. Let g(t) = 59*t**3 - 3*t**2 - 3*t - 1. Let y(p) = i*g(p) - 3*h(p). Differentiate y(u) wrt u.\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88384427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1560)\/767 - 366\/(-10797).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000148041 to six dps.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011313811 to 7 dps.\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 2*w - 3. Let r(c) = -4812*c**2 + 12030*c - 18045. Calculate -3*r(m) + 18045*s(m).\nAnswer: -3609*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295 and 2345?\nAnswer: 138355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:07 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l + 12. Let b(v) = 3*v**2 + 16*v + 5. Let n(z) = z**2 + 7*z + 5. Suppose 15 = -27*x + 24*x. Let g be n(x). Let y be b(g). Calculate u(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0)*(-84)\/(-9). Let v be 6\/(-21) - (-15)\/s. Suppose 0 + 1\/2*j + 1\/4*j**2 - v*j**3 = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 349*l - 346*l + 10, -4*o + 12 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3525 - -3522. What is the nearest to 2\/3 in 15, 0.3, -4, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrrrrir. What is prob of picking 2 r?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 4*v + 6*v**2 - 19*v + (-2*v + 6*v - 3*v)*(-3 + 3 - v) - v**2 - 4*v**2 + 4*v**2.\nAnswer: 3*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/7))\/s*s**(-8)\/s*(s*s**(-2\/7)*s*s)**35 assuming s is positive.\nAnswer: s**(603\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**8\/2520 + h**6\/270 - h**4\/36 + 2*h**3\/3 - 5*h. Let z(x) be the second derivative of m(x). Solve z(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.0047 - -0.0047. Which is the biggest value? (a) -0.5 (b) k (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4 - 2*g**2 - 3*g - 6 + 0. Let t(c) = -c**3 - 4*c**2 - 3*c. Let p be t(-2). Let o be a(p). Solve -o*f + 4*j + 4 = 0, 4*f = -j - 14 - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.55 - -1.439. Let y = 1946719.11100101 + -1946719. Let n = y + o. What is n rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1. Let t(j) = j - 5. Let b(a) = 11*k(a) - 2*t(a). Let q be b(-4). Suppose q*v = 2*v + 15. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - 138 - (0 + -15)) + 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34259866 * 24.\nAnswer: 822236784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 + m**4\/3 - 2*m**3 + 13*m. Let y be t(-6). Which is bigger: -24 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 18*c - 17. Let t be x(-16). Calculate the highest common divisor of t and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 8098633?\nAnswer: 8098633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114781?\nAnswer: 114781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(27) - (sqrt(7) - 5*(-1 + sqrt(7))**2).\nAnswer: -32*sqrt(7)\/3 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 1. Let s be (-8)\/(-12)*(-6)\/4. Let o be u(s). What is the third derivative of -4*v**6 + v**2 - 3*v**2 + o*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**3 - 240986*i**2 + 8212789.\nAnswer: -15*i**2 - 481972*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1396767148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*v**4 + v**2 + 356 with respect to v.\nAnswer: 128*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 133. What is the third smallest value in 0.2, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098116 is divided by 13900?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-86)\/(-16) - (176 + -171)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/234 and -99\/170?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {n: 1, s: 1, e: 5, f: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-6)\/(12\/2))*(10 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332 at most as big as 8332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 13570 - 20967. Suppose -964*l + 965*l = z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1786, -4, 79, 0, 16 in descending order.\nAnswer: 79, 16, 0, -4, -1786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b4cc - 3a9?\nAnswer: 9b123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9239 or 2779?\nAnswer: 2779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 4*r**2 + 1072 - 284 - 6*r**2 + 5*r**2.\nAnswer: 3*r**2 + 1024","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1542006152 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3092*c**2*n - 11*c + n + 5 wrt c.\nAnswer: -6184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-166)\/1577*7\/2 and 54\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -5*b**8\/336 + b**5\/30 + 2*b**2. Find the third derivative of s(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884374 and 64906?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.43887 take away 0.3?\nAnswer: -756.73887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by 33703?\nAnswer: 202\/33703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/12419649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1146806\/55 + 20852. Calculate the common denominator of o and 151\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/16 and -25\/40368676.\nAnswer: 161474704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -687*r**3 + r**2 - r - 1. Let b be i(-1). Suppose -2*h = 6*h - b. What is the remainder when h is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223 - 301?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Let r be (2\/20)\/(x - 2). Which is the closest to 1\/3? (a) 2\/13 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -1 + sqrt(2299))*6 + sqrt(2299) - sqrt(2299)) + (1*(sqrt(2299) + -2) + sqrt(2299) - sqrt(2299))**2 - -1*sqrt(133)\/sqrt(112)*-1.\nAnswer: 351*sqrt(19)\/4 + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*t + 384. Let j = -4126 - -4206. Calculate the least common multiple of t and j.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 7. Let k be y(5). Let g(a) = -24*a + 9*a + k*a. Let l(t) = -2*t**2. Calculate g(l(f)).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 + 12730*h**3 + 20262916*h**2 + 19868408*h - 607507440 = 0.\nAnswer: -3182, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 - w**2 - 4*w**2)*(8*w + 0*w - 4*w) + 20*w**3 - 23*w**2 + 64*w**2 - 44*w**2.\nAnswer: 28*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34291349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1465621\nAnswer: -1465624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*g**3 - 81*g**2.\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d - 846*d + 10440 = 102*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 - 5650*d - 3079320 = 0?\nAnswer: -402, 1532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5569 - 5573. Let v = 47\/3 + -15. Put -1.7, -3, v, q in decreasing order.\nAnswer: v, -1.7, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.10027, -35, -0.4 in descending order.\nAnswer: 0.10027, -0.4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from iibbbbbbb.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/(9\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 178*g**3 - 921011*g**2 + 921011*g**2 + 1.\nAnswer: -178*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 103, -4, -1 in decreasing order.\nAnswer: 103, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/4 + 15\/28. Which is bigger: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583 - 587 - 588 - 584 - y + 2887 - 577.\nAnswer: -y - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 36. Let q be 8\/12 + (-3)\/i. What is s in -2\/3*s - 1\/3 - q*s**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11917685\/445764 - -8175\/307. Calculate the common denominator of -161\/1320 and s.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -55, -1\/5, -0.3, 0.1, -0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552 and 11776?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + 2 + 0 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(2\/7)\/n*n)*n\/n**(-4\/23) assuming n is positive.\nAnswer: n**(304\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (9 - 1)\/2. Suppose 0 = -2*a - n + 37, -j*n + 10*n = -2*a + 33. Let m(v) = 2*v**2 + 5*v - 1. Calculate the remainder when m(5) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49912 divided by -10\nAnswer: 24956\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.5527 minus -0.08?\nAnswer: -45.4727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 != 757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 7*n**2 - 13*n - 4. Let c be v(9). Let y be (-3)\/(-12) + 78\/(-24) - c. Let o = y - -17. Is -28 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304.073 - 304. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1013 - -716?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 1, y: 11, k: 1}. What is prob of picking 1 z, 1 a, and 2 y?\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-10)*13\/(156\/(-30))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 3*m + 6*m - 16*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 111 = -6*y. Let t(a) = 31*a + 916. What is the remainder when t(-26) is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 483, 0, -10, 4, -4.\nAnswer: -10, -4, 0, 4, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Suppose 5*v = 5*t - 30 - 60, t = c*v + 19. Calculate the greatest common divisor of 153 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -3b710?\nAnswer: 3b6f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -55, -1, -5 in increasing order.\nAnswer: -55, -7, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n. Let o(i) = -10*i**2 + 81. Give o(w(l)).\nAnswer: -250*l**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, 35, 19 in decreasing order.\nAnswer: 35, 23, 19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1156 - 250*r**2 - 1158 + 108*r**2 - 228*r**2.\nAnswer: -370*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1722 - 780 = 278*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - -0.4. Let h = 1 - 6. What is the nearest to w in h, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0093 and 0.646.\nAnswer: 0.0060078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let y = 8 + -5. Let b = y - 2. What is the closest to b in 0.1, g, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = -4*h, 15 = -5*h + 4*m - 9*m. Sort 30, -4, -5, h.\nAnswer: -5, -4, h, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1 + 1. Let y be s\/((-1)\/(6\/(-4))). Is 2 - 24\/(1 - y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 + b**3\/3 + b**2\/2 - 3*b. Let w be l(-1). Solve w = -s + 2 - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*336\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*n + 3*h, 29*n - 31*n = h - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01769 and -6.72681.\nAnswer: -6.7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwwx when four letters picked without replacement from wwxxxxwx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10012 + -3\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 508.491 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 33. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*c - 211 = -331*c + 49 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10102985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102*4\/(-72)*(12\/(-4))\/(1\/1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26331.846 + 26290.845938. Let t = -24 - -65. Let s = q + t. Round s to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, h: 2}. What is prob of sequence ho?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 12. Let w be m(13). Let h(s) = -s - 1. Let f(n) be the second derivative of n**2 - 23*n. Determine w*f(d) + 3*h(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/116586 and 67\/1787652.\nAnswer: 5362956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87160, 176628, 266088, 355534, 444960, 534360, 623728, 713058?\nAnswer: 802344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**5 + 0*f**5 - f**5 + (5*f**3 + 0*f**3 - 3*f**3)*(4*f**2 + 0*f**2 - 3*f**2) + 3*f**5 + f**5 - 5*f**5 + f**5 - 1 + 1.\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 34*a - 197. Let f be w(6). Suppose -502 + 474 = -f*c. Solve -5*m - 5 = -3*n, -c*m - 11 = -4*n + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/7 - (-4)\/(-14). Suppose 0 = 4*s + 5*o - 41, s - h*o - 9 = -3*o. Suppose -6 = -s*z + 6. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 3*r + 7 = 0, -s + 3*r - 17 = 0. Let q be (s\/(-2) + 0)*-1. Let o = -134 + 799\/6. What is the second biggest value in o, q, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5043, -5039, -5035, -5031, -5027?\nAnswer: -5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-28)\/126*21\/(-2). Put 3\/4, i, 0.2 in descending order.\nAnswer: 3\/4, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 2425*m - 43569\/2.\nAnswer: -(m + 9)*(m + 4841)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 1, -693431 in decreasing order.\nAnswer: 5, 1, -26, -693431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-18))\/((-5)\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319446.\nAnswer: 2, 3, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -4 + sqrt(98) + -3 + sqrt(98) - (sqrt(98)*-4 - sqrt(98))*-5) + (-2*(-3 + sqrt(98)) - (-2 + sqrt(98) + -5 + sqrt(98))))**2.\nAnswer: -2184*sqrt(2) + 66284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1 + (2 - 0)). Let w be k*10*(-10)\/20. Suppose 0 = w*b - 6*b + 15. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 390, 266, 42, -312?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:58 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p**3 + 7*p**2 - 24*p. Let l(u) = -6*u**3 + 2*u**2 - 8*u. Let d(c) = -7*l(c) + 2*y(c). Find the second derivative of d(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15 - 1317*b**3 + 15.\nAnswer: -1317*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247165481.\nAnswer: 11, 23, 751, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnf when four letters picked without replacement from ffffnnfnnff.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -74. Let h be 19*((-12)\/j - (-14)\/18). Suppose -q + h = 5*a, q - 55 = a + 3*a. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:21 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061902009 divided by -4?\nAnswer: -1061902009\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.821337 centuries to years.\nAnswer: 782.1337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32324226 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -10.05. Let j = l - -8. Which is smaller: j or -2\/25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11403 divided by 3\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1821176 and 656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 = -w + 6, -4*k + 12 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f. Let n(z) = 3*z**2 + 3*z**2 - 5*z**2 + 0*z**2. Determine k(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9828*j**2*w + 13*j**2 + 47*j wrt w.\nAnswer: -9828*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41554 (base 6) to base 12.\nAnswer: -32ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 19. Suppose -4*g = 2 + 2. Sort 2, g, c in ascending order.\nAnswer: g, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 5*a - 5*a)*(-2 + 2 - 2*a) + 0 + 0 - a**2 - 2*a**2 + 2*a**2 + a**2 + (a + 2 - 2)*(-1 + 1 - 2*a) + 2*a**2 - a**2 - 6*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*j**3 - 77*j - 589*j**3 + 77*j + 1170*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 22910478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:54 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 9. Let f(i) = -40*i - 24. Let c be f(-1). Determine y(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.45 - -44.45. Let n = -43.4 + u. Let s = 0.3 + 0. What is the fourth smallest value in 2, s, -4\/5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*j - 6224, -2*q + 8731 = -4*j + 2497. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 25*j**2 + 3*j - 80. Let g be z(-12). Is (-4)\/(-14) - (-330924)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1202004103?\nAnswer: -1202004103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2 + 2)*(6 + 391 - 10)*(1 + o**2 - 1).\nAnswer: -774*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 292614.5 rounded to the nearest one thousand?\nAnswer: 293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44432 by 44432.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*d + 329*d + 109*d as a*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:11 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 6 = 26*i, 4*t - 5046 = -5*i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -953 + 955. Suppose 3*k + 14 = -1. Is t bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 1:38 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5, -4*k = 5*c - k - 460. Calculate the remainder when c is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let n(a) = -19*a - 8. Let u(c) = 2*d(c) - n(c). Differentiate u(q) with respect to q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2965 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 12*t + 21. Let m be i(9). Suppose m + 61 = 8*q. What is the remainder when 49 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c + 42 = -78 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 5.1. Sort v, -0.3, 0.3 in decreasing order.\nAnswer: v, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + u - 25 = 0, 0 = m - 3*m - u - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**3 + 5\/2*a**5 + 11\/3*a**4 - 4\/3 - 7\/3*a**2 + 15\/2*a = 0 for a.\nAnswer: -8\/3, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1450565 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1887 or 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)*(-15)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 = -2*q. Let t(z) = 2*z**2 + 8*z + 3. What is t(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 31 = v, 3*v + 22 + 5 = 3*n. Solve -7*t = -3*c - n*t - 13, -c - 13 = -4*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 6. Suppose 2*l = 3*q + 2*q + 8, i*q = -3*l + 12. Suppose q = -4*r + 1 + 7. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370681?\nAnswer: 41, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2684737864\/705 + 3808138. Let b = i - -2\/141. Let x = 8 - 7.7. Put 3, b, x in descending order.\nAnswer: 3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*q**3 - 55*q + 3719.\nAnswer: -48*q**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9973 is divided by 369?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1476*i - 5. Let l be (-5)\/(-1) + -10 + 8 + -2. Is x(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*23*885\/((-20709)\/(-117))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21 and -28746.\nAnswer: -28767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1280 + -1275. Which is the closest to 24? (a) 2 (b) -1\/6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14697 and -73\/2130.\nAnswer: 146970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8 = 2*t. Let r be ((-1)\/1*-2)\/(-2). Let i = r - -1. Solve -4*f = -g - 9, -3 = -t*f - i*f - g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 28*t - 169. What is f(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 2, x: 1}. Give prob of sequence ubu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378927 + 1378862 = 10*p + 5*y, -p - 5*y = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -934 - -975. Solve z*o - 7 = 34*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {h: 1, a: 1, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35812 is divided by 431.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30203053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 94\/(-98))\/(56 + 13362\/(-238))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.141 times -54.69\nAnswer: -281.16129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*z + 1, 0 = -4*g - 5*z - 2 + 19. Let w(m) = m - 5 + g + 6. Determine w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2849118 (b) -4\/7 (c) -0.4 (d) 5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.58 + -23.28. Let x = -16.89 - -17. Put x, z, 2\/5 in decreasing order.\nAnswer: 2\/5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 2746.2.\nAnswer: 2745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68002*-1.43.\nAnswer: 97242.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2184)\/(-2405))\/(-21))\/(12\/(-15))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -3 (c) -1\/9 (d) 0.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3864 divided by 1014\nAnswer: -644\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13502*l - 40. Let m(g) = 425313*g - 1256. Determine 157*b(o) - 5*m(o).\nAnswer: -6751*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let o = 0.07 + 0.13. Let t = 8 - 3. What is the third biggest value in t, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -29. Let z(k) = k**3 - 7*k**2 - 3*k - 19. Let m be z(8). Suppose -m*j = -15*j - 24. Solve -a - j*p = -10 - l, 8 = 2*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 146. Let a(x) = x**3 + 11*x**2 + x + 26. Calculate the remainder when 73 is divided by a(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4.7. Let q = z + -0.6. Let a be (-16)\/36*9\/(-2). What is the nearest to a in 0, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 + -226.2. Let l = -0.055 - 0.445. Which is the third smallest value? (a) -2\/3 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 + 2097. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5 + 14*t**4 + 20*t**3 - 10 + 0*t**5 + 146*t**2 - 150*t**2 - 22*t + t**5 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -28. What is the smallest common multiple of s and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7024 + 7024.2. Let j = -986 + 976.07. Let d = j - -10. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r - 10 = 2*r, 17 = 3*x - 2*r. Suppose 11 = x*u - 28. Let p be 4\/(-6) - 472\/(-6). What is the greatest common factor of u and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b - 132*b + 12*b = -1704 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -m - 27 - 34, -2*m = 5*j - 58. Let d be (-2)\/156 - (-2)\/j. What is the second biggest value in d, 2, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 20605*i**3 - 2 - 153*i**2 - 20608*i**3 as f*i**3 + b*i**2 + y*i + j and give b.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 9*y**2 + 14*y**2 - 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047234 is divided by 217.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = -14. Suppose -5 + 25 = 2*p. Calculate the remainder when p is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3335 + -3328.526. Let r = 5.72 - l. Let z = r + -0.006. What is z rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-1 - 1 - 0)) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746294 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(2 - 3). Let g be 285\/(-55) + (0 - -5). What is the nearest to z in 4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/(-96))\/(5\/2)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 2*o. Let g be -3 + 9\/o + 0. Let d be (-3)\/(-9)*(-1 + 3). What is the nearest to 1\/4 in d, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4433 + 13300\/3. Suppose -5*y + 7 = -0*y + 2*a, 0 = 2*y - 3*a - 18. Suppose j + 5 = -y*d, 5*d + j + 6 = -1. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 7\/((-539)\/91) - 2502\/(-396). Determine b, given that -u*b**2 + 1\/2*b**4 + 23\/4*b + 7\/4*b**3 - 3\/2 = 0.\nAnswer: -6, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3303 (base 4) to base 14\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 10345.\nAnswer: 1137.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369.2 - -369. Let i = -4.6 - -5. Sort 2\/9, l, i, 0.3.\nAnswer: l, 2\/9, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.9. Let h be (-2)\/(-14) + (-4)\/(-14). Let x be 2 - (-8)\/(240\/(-54)). Which is the nearest to i? (a) h (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - 0\/12. Suppose -535*u + 541*u = -6. Sort u, 2\/19, h, 2\/29.\nAnswer: u, h, 2\/29, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 31*y - 11*y + 34*y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 216, 489, 872, 1365, 1968, 2681?\n\"Answer: 55*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -29*k. Let n(g) = -5*g**2 + 2*g**2 - g**2 - 3*g**2 + 2*g**2. Give x(n(j)).\nAnswer: 145*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 16, 2, -26, -74, -148?\n\"Answer: -m**3 + 2*m**2 - 5*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 428001547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let t be o(-3). Let d = 11 + -9. Suppose -20 = -t*a - d*a. Solve -21 = -4*s - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.3 in 0.05, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418427.\nAnswer: 11, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(((-1235)\/(-26))\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -0.32.\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -167, 3902 in descending order.\nAnswer: 3902, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 75.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 51624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -156561130 (base 7) in base 3?\nAnswer: -202002222011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402 - 1189\/3. Calculate the common denominator of 70\/3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 b when three letters picked without replacement from jbjjjbjjbjbjbjjjbbj.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. What is the remainder when 88\/20 - r\/(-5) is divided by 8\/12 - 7\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1024*l**2\/7 + 128*l\/7 + 4\/7.\nAnswer: 4*(16*l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = -0*b + 4*b. Suppose 5*p - 4*i - 238 = 0, 5*p - 3*i + i = b. Suppose 24 = 2*g + 4*q, 0*g + 4*q = 3*g - p. Which is bigger: 15 or g?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22826 divided by 113?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 5394526.9.\nAnswer: 5394527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/((-20)\/(-2)))\/(1340067\/(-66670))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-4\/9))**6*(g**(6\/11)\/g**(-8))**(1\/3) assuming g is positive.\nAnswer: g**(182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1305, 2587, 3869, 5151, 6433?\nAnswer: 7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.8*0.042.\nAnswer: 1.7976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327 - -326.997526. Round b to five decimal places.\nAnswer: -0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*f - 5*z = 566*f - 15, 0 = 3*z - 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2260*x + 65. Let b(l) = 6780*l - 208. What is -5*b(s) - 16*n(s)?\nAnswer: 2260*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((2 - 0)\/(-4)). Suppose 0 = -3*i + i + 4*o - 4, -o - 35 = 4*i. Is d at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 4*s - 16, f + 5*s + 25 = 0. Let v = f - -40. Calculate the least common multiple of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*z = -4*z + 34, -68 = 4*c + 4*z. Let r(h) = h**3 + 2*h**2 - 1. Let f be r(-2). Put f, 1, c in decreasing order.\nAnswer: 1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45021830 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4404*t - 1599*t + 11220 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 6. Let n(v) = 5. Let l(p) = 5*m(p) + 6*n(p). Let i(h) = 9*h - 7. Let g(y) = -4*y + 3. Let k(z) = -7*g(z) - 3*i(z). What is l(k(w))?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -17 - (3 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 96. Suppose -5*y + 129 + 124 = 253. Sort q, y, 3 in decreasing order.\nAnswer: q, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410\/3430 - (-1160)\/350.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 5. Let s be v(-5). Let r = s - -3. Let t(w) = -w + 4. Let z be t(r). Which is bigger: -2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156933 divided by -7?\nAnswer: 22419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from aaaaaaxxxaxxxxxx?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y = -88*y - 6*n + 5*n + 288, -3*y + 8*y - 3*n = 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612) + -4 - (sqrt(612) - (sqrt(612) + 1)*5))**2 + (-4*(sqrt(85) + sqrt(85) + -1*sqrt(85)))\/(sqrt(320) - 2*sqrt(320) - sqrt(320)).\nAnswer: -239*sqrt(17)\/4 + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5433, 5419, 5381, 5307, 5185?\n\"Answer: -2*g**3 + 5435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -12*h + 33412. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -2\/7, 4, 26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 773215019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*v - 36, -5*a + 5*v + 72 = v. Find n, given that -30*n**2 + a*n**2 + n**3 + 8*n**2 + 8*n**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 664?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 321578*j**3 - 324306*j**3 + 2.\nAnswer: -2728*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-9 + ((0 - 2) + 15 - -8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*l + 12*u, -46*l + 49*l - 3 = 2*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(2*h**2 - 2*h**2 + h**2)*(-22 + 27 - 35)*(-2 + 0 + 4).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 99. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/28 and -25\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32967221*w**5 + 31493*w**2 + 80?\nAnswer: 1978033260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(-351)\/45*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*g + 5*o + 28, 58*g - 17*o + 34 = 59*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50109809?\nAnswer: 103, 486503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -13, 4 in descending order.\nAnswer: 4, 2\/13, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 + 41*j**5\/40 - 21*j**4\/4 - 97*j**3\/3 - 60*j**2. Let c(w) be the first derivative of t(w). Factor c(i).\nAnswer: 3*(i - 1)*(i + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q + 14. What is the remainder when w(-5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = -f - 2, 0 = v. Is (18 - 1)\/(f\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 4*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:06 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0)*((-1736)\/1680)\/31 + (-804)\/45?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5170242 (base 9) to base 16\nAnswer: -2a268d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13460, -23634, -33808, -43982?\nAnswer: -54156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269 - -268.99972. What is w rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**5 - 24*r**4 + 10*r**3 + 20*r**2 - 18*r + 4 = 0. What is r?\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16654\/(-572) - -29) + -8 + 490\/60.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - u - 22 - 6 = 0, -4*u = 12. Let v(o) = -o**2 + 6*o + 3. Let a be v(t). Let z = -4 + a. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/250 and 62\/34625.\nAnswer: 69250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 80 = -0*v. Let x be (-322)\/69*6\/(-4)*1. Let d(u) = -4*u**2 + 30*u - 8. What is the smallest common multiple of d(x) and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035832 rounded to 6 decimal places?\nAnswer: 0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12738 and -61\/924.\nAnswer: 178332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(729)*-3)\/(sqrt(6)\/sqrt(2)*-6))**2.\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 284*o - 1076. Let h be z(4). What is the greatest common factor of 1920 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110546 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 1. Let q(y) be the second derivative of y**6\/30 - y**3\/6 + y**2\/2 + 9*y. Let u(f) = q(f) - r(f). Find the second derivative of u(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 39*o**2 - 19*o + 41. Calculate h(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.165, 412172, 1.\nAnswer: -0.165, 1, 412172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/76 and -27\/504754.\nAnswer: 1009508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(275)*-1 + 4)**2 - (sqrt(275)*5 + -1)*-3)*5.\nAnswer: -1470 + 575*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4094?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.625 - 1.575. Sort w, -3, 1\/12 in ascending order.\nAnswer: -3, w, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118589750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 221, 209, 195, 179, 161, 141?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.2688ug in milligrams?\nAnswer: 0.5882688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/160866 and 65\/18?\nAnswer: 160866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21700064.\nAnswer: 2, 97, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*u + 15*u + 21*u + 113 + 18 + 13*u in the form h*u + o and give o.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.256 times -33.8?\nAnswer: -12683.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641 = -10*p + 3279. Let l(o) = o**2 - 398*o + 6 - p*o + 798*o. Calculate l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -854\/25553 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30377.\nAnswer: 37, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*t + 4 + 6, 14*l - 6*l + 8 = 5*l + 4*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/3*126\/(-7). Suppose 4*b - a = 7*b. Find the common denominator of 67\/6 and 8\/b - (-219)\/(-476).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0393162 and -0.4.\nAnswer: 0.01572648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + l - 2*l + 3*l to the form k*l + h and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (3 - (27 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3839449 is divided by 4517?\nAnswer: 4516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2616988, -5233967, -7850946?\n\"Answer: -2616979*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -3)\/6*6. Suppose -t = -h - 7, 12 = -h - i*h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -5. Let u be 1 + -3 - (-4)\/6. Let s = 40 - 35. Which is the closest to 1\/2? (a) k (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 7, -205, -3 in decreasing order.\nAnswer: 13, 7, -3, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Calculate d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 5031\/143)*(-77)\/(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/13 - 1102*b**3\/13 + 1098*b**2\/13 + 1102*b\/13 - 1100\/13 = 0 for b.\nAnswer: -1, 1, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 215.75, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y**(2\/7)*y**(-4\/3)\/y**6 assuming y is positive.\nAnswer: y**(-190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-5)\/(5\/2). Suppose i = 5 - m. Solve 3*f = -i*q - 27 - 3, -q = 2*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 3*j**2 + 3*j**2)*(-3 - 4*j**3 + 3) + 28*j**5 + 0*j**5 + 12*j**5.\nAnswer: 36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) -0.01748 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*o**3 + 22*o**2 - 402*o.\nAnswer: -114*o + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*g + 54. Let r = g + 18. Suppose 5*p + 40 = -4*u, -45 = r*u + 3*u + 5*p. Sort -13, 5, 2, u in decreasing order.\nAnswer: 5, 2, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 110. What is y(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, f: 1, l: 2, c: 1, y: 2}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -9, 1387, -1, 1 in increasing order.\nAnswer: -9, -4, -1, 1, 3, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -886*h + 1. Is y(-1) 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 2:23 PM and 10:02 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 5. Let z(i) be the second derivative of i**4\/6 + 70*i. Determine r(z(p)).\nAnswer: 2*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-10*140\/30625*-25.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 1649889379636?\nAnswer: -1649889379635.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85026 is divided by 373?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/7))\/z*z\/(z**(1\/9)*z)*z assuming z is positive.\nAnswer: z**(38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -57492146 * -5\nAnswer: 287460730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 0*o + 2*o + (3 - 1 - 3)*(-o + 4*o - 2*o) + 7*o - 3*o - 2*o - 2*o + 1 - 1 + o - o - o - o + 0*o - o + (-15*o + 150*o + 65*o)*(-1 - 1 + 0).\nAnswer: -405*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*b - 3*f, 2*f + 6 = -f. Let u(q) = -q - 6. Let j be u(b). Factor -2 - s**j + 6*s**2 - 3*s**2.\nAnswer: 2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -485\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*t**3 + 56 + 44 + 51 + 61 + 21*t**3 - 214.\nAnswer: -51*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*c - 4*y - 22, -5 = y. Suppose -3*b - 3 - 6 = 0. Let n be (6\/(-8))\/((-9)\/24). Sort n, b, c in descending order.\nAnswer: n, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1198 by -1.\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-72)\/(-6)))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.253 < -128.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3496\/95)\/(-1*98\/245)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*8\/(-6). What is the third derivative of -3*z**2 + 0*z**2 + 3*z**5 - p*z**2 + z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(23\/(253\/154))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.51 + 100.89. Let b = f + -90. What is b rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1247 - -8689\/7. What is the common denominator of o and -29\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*c = 96, 3*f + 6*c + 42 = 186 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024158 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n + 4. Let j be m(4). Suppose d - 4*q - 5 = 2*d, 2*q = -4*d + j. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-10)\/(-120)). Put -2, y, -1 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -13) + -9 + 7 - (-2 - (5 + 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 11*w - 150. Let f(u) = -7*u**2 - 14*u - 2. Let c be f(-3). What are the prime factors of r(c)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*(sqrt(204) + sqrt(204)*2 + sqrt(204)))\/(sqrt(72)\/(sqrt(6) + sqrt(6)*2)))**2.\nAnswer: 96*sqrt(17) + 39169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (20 + -21 + 19).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53527.78ng in tonnes?\nAnswer: 0.00000000005352778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 127*a - 1. Let w(y) = 255*y - 2. Calculate 5*q(t) - 2*w(t).\nAnswer: 125*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 2*i**2 - 2*i + 0*i**2 - 8*i**2 + 5. Let k be w(-4). Suppose -k = -6*u + u. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-458)\/8)\/((-1 - 1)\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1)\/a*a))**(3\/22)\/(a**(-2\/3)*a**(6\/11))*(a\/(a*a*a**(-1\/3)*a))**22\/(a**(2\/3)*a*(a\/(a**(-5)*a))\/a*a) assuming a is positive.\nAnswer: a**(-1417\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 5*o + 4. Let b be r(-3). Let v be ((-10)\/7)\/(b\/7). Suppose -3*g + 0*s = -3*s - 9, 8 = v*g + 2*s. Solve w - u = 0, 0 = -0*w + g*w - u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 23*g - 2. Let 1\/2*o + 1\/2*o**g + 0 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43644472?\nAnswer: 2, 109, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, -2661 in increasing order.\nAnswer: -2661, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 2214260.4?\nAnswer: -2214260.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txk when three letters picked without replacement from kqqtcktotkqtctx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2940?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 + 123*u**4 + 1626*u**3 - 4338*u**2 - 29943*u + 75735 = 0. Calculate u.\nAnswer: -11, -5, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1124032302003?\nAnswer: 1124032302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 1465695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - (-33)\/(-4455)*36?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttk when three letters picked without replacement from {w: 5, y: 4, j: 3, k: 5, t: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -30*l + 36. Let v be 2*(-1)\/(l\/(-4)) - 4. Which is smaller: 2\/1183 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 446?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 6, 9662, 2 in descending order.\nAnswer: 9662, 6, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**2 - 84*m + 9. Let l(d) = 3*d**2 - 21*d + 2. Calculate 9*l(t) - 2*r(t).\nAnswer: t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120012 (base 3) in base 11?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4000, 3484, 2982, 2500, 2044, 1620, 1234, 892?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 9*a**2 - 11*a - 5. Let u be f(9). Let c = -74 - u. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -2*p + 121, -4*p = 5*r + 103. Does 13 divide (-15)\/12*(-1 + r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31387 = -3*u - y, 0 = -5*u + 85*y - 83*y + 52330. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r + 1. Let q be p(2). Let h = -96 + 68. What is the units digit of ((-54)\/q)\/(6\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 535.\nAnswer: -2675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*o - 46. Suppose -18 = -4*k + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*6 + 3\/3. Suppose 0 = -z*h + 4*h + 9. What is the highest common factor of 27 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2292\/1337)\/(72\/(-280))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07533 + -34.92467. Which is smaller: 28 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -6. Let d = b + 4. Let j(p) = 23*p**2 - p + 1. Is j(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 + 2*h - 3. What are the prime factors of w(-4)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 2. Suppose f*z - 5*c - 132 = 0, -z - 5*c = -3*z + 83. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1109 in descending order.\nAnswer: 1109, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-36))\/((-10)\/60). Let d = 2\/5 + -1\/5. Put d, 0.4, g in decreasing order.\nAnswer: 0.4, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = -71. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 885192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21015 or 42027\/2?\nAnswer: 21015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 5. Let u be m(3). Suppose 3*i - 5 = -u*i. Let v = -0.19 + 3.19. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17688*p - 552520 = 331880 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 49\/3. Suppose -318*y - 510 = -192. Which is the third biggest value? (a) y (b) -5 (c) k (d) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144*(-175)\/44100*(-70)\/(2*-1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 + 55 - 128) + 1 + -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -126*w**3 + 197*w**2 + 2*w - 2. Let i(r) = -506*r**3 + 787*r**2 + 9*r - 9. Let m(z) = -2*i(z) + 9*t(z). What is the third derivative of m(s) wrt s?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + 2*f)*(2 - 2 + 2)*(-2*f - 4*f + 4*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -20. What is the highest common divisor of 75 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 19*m**2 - 2*m + 36. Let t be y(19). Which is smaller: t or -9\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/4*-2*(-1)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -184, -433, -792, -1267, -1864, -2589?\nAnswer: -3448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 4. Let p be 1 + (3 - (-7)\/(28\/(-16))). Let o be n(p). Let l be 3*(-1 - (0 - 1)*o). Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**2 - d**2 + 6*d**2 - 13*d**2 + d**2 - 4*d.\nAnswer: 31*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - -27530.\nAnswer: 27569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 955*s - 943*s + 0 + 0 to o*s + m and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10261 - 5732. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdddrrd. What is prob of sequence ddsr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 2*w**3 - 4*w**3 + (w - 1 + 1)*(2 - 2 - 2*w**2) + (-3*w + 2 - 2)*(w + 2*w**2 - w) to p*w**3 + i*w + c + a*w**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1*(1 - 39 - -1). Differentiate 4*i - 3*i + 418*i**3 - w - 390*i**3 with respect to i.\nAnswer: 84*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-30)*(10 - 8). What is the third smallest value in -3\/4, 2\/5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -586\/5, 0.4, -5, -84, 4, -2\/7 in ascending order.\nAnswer: -586\/5, -84, -5, -2\/7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17235695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2330, -10470, -24108, -43244, -67878, -98010, -133640?\n\"Answer: -2749*b**2 + 107*b + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 9*y - 36. What is b(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 758518052 divided by 2\nAnswer: 379259026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 73*w**3 + 9*w**3 - 14*w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s - 12. Suppose -4*p + 777 = 3*y - 0*y, -2*p = -s. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - k = -236, -q = q + 4*k - 164. Let a = q + -67. Solve -7*i = -a*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/(b\/(b**(2\/3)*b)))*b*b)*b*b)**(2\/31)*((b*b*b**(2\/11)*b*b)\/b)\/(b**(-2\/13)\/b) assuming b is positive.\nAnswer: b**(58232\/13299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 4*q - 1. Let d be w(5). Suppose -d*u = -51 + 3. Let c = u - 10. Which is greater: c or 9\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 5. Let b be t(-11). Suppose -b*v = -2*v - 20. Solve -4*c = -v*j + 33, 2*j + 11 = 5*j + 2*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - -1*sqrt(128)\/sqrt(8))\/(5*sqrt(2)*-2) + -5 + 3)*-4.\nAnswer: 8*sqrt(2)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 17*j = 876. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69650, 69647, 69632, 69599, 69542, 69455?\nAnswer: 69332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-4 + sqrt(1539)) + 4*(-4 + sqrt(76)) + sqrt(76) + 5.\nAnswer: -47 + 91*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 30. Let u be ((-18)\/(-6))\/(3\/i). What is the units digit of (-469)\/(-35) + 4\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*d - 130, 3*a + 5*d - 76 = -0*a. Let j be a\/18 + 39\/2. Differentiate -10*x**2 - 4*x + 18 - j + 4*x with respect to x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47528796 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - -b59?\nAnswer: b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(-32)*4258\/(2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 163.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 7778 = -2*f + 7786, 0 = a + 226*f - 3169 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 - 11*n**3\/3 - 4*n**2 - 4*n - 94. Let g be k(12). Is g at most as big as 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*m - 15520 + 102802 + 67107. Is m at most -2913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82\/7 + -88\/7. Sort -5, q, -2 in descending order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 3. Let q be 6\/21 + 7 + 40\/7. What is k(q)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 + 77*m**4\/4 + 7263*m**3\/4 + 129427*m**2\/4 + 115217*m\/2 = 0.\nAnswer: -29, -2, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 0.05, 1, 40\/3, -4, 3\/2338?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -77. What is the second derivative of 132*q**3 - c - 8*q - 8*q - 82*q**3 wrt q?\nAnswer: 300*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48466387 to three dps.\nAnswer: -1.485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.07420134.\nAnswer: -0.007420134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198816662 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 2*v + 6. Let p = -36 - -41. What is the units digit of c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = -4*r, 57 = -3*r + i - 72 + 141 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 24. Let f = 363 - 1451\/4. Which is the closest to 1? (a) -4 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 17*o - 1. Calculate x(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Suppose 4*c + 3*u = 6*c - 16, -j*c = 2*u. Let k(h) = 16 - 16 + h**2 + 2*h**c. Let o(q) = q. Determine o(k(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -0.1, 30, -4.8, -1\/2.\nAnswer: -11, -4.8, -1, -1\/2, -0.1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/14 and 57\/362?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:53 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 183222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2. Let v be (-3 - (-12)\/4)\/1. Suppose v = -h + 3. Which is the second smallest value? (a) y (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3689 = 2*h, 5*h - c - 6366 = 2861. Does 142 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -33041.\nAnswer: 132164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(351) + (sqrt(351)*-6 - sqrt(351)))\/sqrt(9) + sqrt(39))\/(sqrt(3)*6*-3) + -1)*3.\nAnswer: -3 + 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10186610*x**2 + 207*x - 2505 wrt x?\nAnswer: 20373220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29399523 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 193\/5*y**5 + 0*y**2 + 184*y - 119 + 0*y**4 + 0*y**3. What is the derivative of p(m) wrt m?\nAnswer: 772*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13546.\nAnswer: 2, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1330841 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4 = -u. Let q be (-10)\/(-8) + (-91)\/(-52). Suppose q*p = u*p - 3. Solve 0*j = -j + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1160?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 97114.21 nanoseconds?\nAnswer: 0.09711421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:05 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*c + 16 = 0, -j = -3*j - 2*c + 22. Calculate the greatest common factor of 25 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7197 is divided by (-45)\/(14*(-11)\/154).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let z(l) = -2*l**3 + l**2 - 1. Let v be z(-1). What is the second derivative of -r + v*r**o - 3 + 3 - 4*r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 - 46*i. Let b(g) = -22*g**2 - 139*g. Let j(a) = 2*b(a) - 7*l(a). List the prime factors of j(-15).\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b + 76. Give c(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - (-220)\/8. Suppose 3*a - 3 = p. Is (-4)\/a + 172\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1013 and 1019078?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 97*f**2 + 163*f + 211. What are the prime factors of d(-17)?\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*n + 9 = 0, -4*c + 2*n = 9 + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2016 divided by 4.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j - 52*j - j**2 + 77*j - j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 42 = -6*r, -41 = -9*r + 12*r - 4*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 + 867*j. Let z(r) = -4*r**2 - 289*r. Determine -6*n(c) - 17*z(c).\nAnswer: 2*c**2 - 289*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - 0.27. Which is the closest to -1? (a) j (b) 12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-90)*-1 - 14\/(-252). Which is the closest to 8? (a) -0.2 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -269.3. Let u = h - -16.2. What is the closest to -1 in 3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 361 + 401?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 12*d - 1 + 21*d + 1.\nAnswer: d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2043565615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and 42383462.79114.\nAnswer: 42383470.79114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 6. Let g be q(8). Let w be 77\/g - 4\/6. Let t = 3.3 - -0.7. What is the second smallest value in t, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)\/g*g*g)**(-36))**(-1\/4))**15 assuming g is positive.\nAnswer: g**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 * -473.\nAnswer: 127.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + (-198 - -184).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.072, -4, -8.2, -2\/8461 in descending order.\nAnswer: -2\/8461, -0.072, -4, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 - 209*j - 78. Is g(-47) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-162)\/135*((-6)\/4 + 0) - -45.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 1)\/((-2)\/(-1)). Suppose 0 = 4*z + 4*n - 3 - 17, -4*n - 1 = -a*z. Suppose -2 = -4*m - z*h + 4*h, -8 = 2*m + 4*h. Solve 3*p + p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 - -0.73. Let n = 0.1 + -0.3. Let l = -1\/7 + -1\/7. Which is the nearest to n? (a) r (b) 1\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 55. Suppose u = -2*a + r + 105 + 119, 3*a - 5*r = 343. What is the second derivative of 102*l**4 - 10*l - a*l**4 - 2*l wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14006, 14010, 14016, 14024, 14034, 14046?\n\"Answer: r**2 + r + 14004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*117.53\nAnswer: -94.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 6*k = 5*l - 19, 0 = 2*l + 4*k - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 11. Let b(s) = -s + 6. Let a(v) = v - 5. Let u(j) = 2*a(j) + 3*b(j). Let h be u(-3). Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -917 - -3?\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1779085 - -285722.08.\nAnswer: 2064807.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17844 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 68 = 3*b, -4*b + 5*g - g + 96 = 0. Suppose -3*r - 5*w = b, -5*r - 3*w - w - 16 = 0. Let n be (3\/2)\/((-5)\/(-4)). Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 3*i**2 + 2*i + 9. Let m be w(4). Which is the closest to m? (a) 0 (b) 25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 455*o**2 - 8820*o.\nAnswer: -5*o*(o + 28)*(o + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 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: Find o such that -8*o**3 + 73345*o**2 + 651576*o - 82593 = 0.\nAnswer: -9, 1\/8, 9177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233\/1089 + -1\/121. Let n = 15\/142 - -32899\/426. Let k = n + -78. What is the third smallest value in k, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78097 and 26930.\nAnswer: 780970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t**2 - 103077*t - 2702040 = 0. Calculate t.\nAnswer: -440\/17, 2047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.075 - 29.925. Let o = 54 + s. Let g = 27 - o. Sort 4, g, -0.1, 3\/4 in descending order.\nAnswer: 4, g, 3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.390527ns to microseconds.\nAnswer: 0.007390527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/20 + -121\/180. Let p be (10\/8)\/(1\/4). Let z(i) = i**3 - 6*i**2 + 5*i - 1. Let f be z(p). Is f greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-170)\/20. Let m be 4\/(-6) + (-3 - (-51)\/o). What is the first derivative of 1 - p - 16 - 4*p - m*p wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8752 and 55.843.\nAnswer: -8696.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(112) - sqrt(112)*2) + -2 - sqrt(112)) + 3 + sqrt(112) + 3))**2.\nAnswer: -512*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + m = -333. Let w = m + -19. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*(-24)\/(-30)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 32*t + 75. Determine l(31).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -16*g + 18*g + 5, 5*g - 5*j + 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n + 7*n + n)*(1 + 3 + 1)*(-4 + 1 + 4).\nAnswer: -45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 - -144. Suppose 9 = -54*d + 51*d. Let z be 6*(d - c\/24). Solve 4*q + 2*b = 2, -z = 2*q - 7*q - 3*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/(27\/324).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*a - 45*a + 3*a + 13*a to the form g + x*a and give x.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - 159 - (-6 - -3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 33*j**2. Let b(l) be the third derivative of -l**5\/30 - 23*l**2. What is p(b(g))?\nAnswer: 132*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282524932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 41*m - 45*m - 2*v, -5*m + 5*v + 20 = 0. Is -22 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 58*k**2 + 172*k + 424. What is n(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x*x**(-2\/5)))\/x)\/(x*x**(-2\/23)))**6)**(1\/5))**(-3\/35) assuming x is positive.\nAnswer: x**(3132\/20125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 18841 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -293 - -829. Is n a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*p - 453*p + 1 + 218*p + 7965*p**3.\nAnswer: 7965*p**3 - 21*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.865788316 - -26.97.\nAnswer: 26.104211684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-11146.\nAnswer: 22292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2500495*o**3 + 35*o**2 + 1923485*o wrt o.\nAnswer: 15002970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reybyryreyyygbrber. Give prob of sequence by.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-30) + (-6)\/18. Let c = 2.33 + -0.33. What is the nearest to -1\/4 in c, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-986)*(-8)\/(-2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-429))\/((-1)\/223). Let w = a - 46\/39. What is the common denominator of w and -89\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -22) + (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1197 and -5.\nAnswer: 5985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8 = -133*y + 137*y, -2 = -p + y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-1) - 2092\/(-352). Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7 - w**2 + 22*w**2 - 3*w**2 - 24*w**2. Let r(c) = -5*c**2 + 6. Give -6*a(k) + 7*r(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 0) + (-13 - -17) + -18.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1. Let o(m) = 61*m - 4. Give -6*n(b) + o(b).\nAnswer: 61*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.246 * 0.4\nAnswer: -0.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34498\/207 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*o + 60, 3*a + 23 = 4*a - 5*o. Calculate the lowest common multiple of a and 93.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11488932 divided by 26052\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9071 = 328*m + 1572*m - 429. Let l = -160 - -231. What is the third smallest value in l, m, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6281420?\nAnswer: 2, 5, 127, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 10255311*h**2 + 30765954*h + 20510640 = 0 for h.\nAnswer: -2, -1, 3418440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2150, 2173, 2196, 2219?\n\"Answer: 23*a + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l + 43*l**3 - 127*l**3 - 11*l + 40*l**3 + 11 - 6*l**2 + 40*l**3. What is k(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 - -194. Calculate the highest common factor of r and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 16}. Give prob of sequence yyy.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8825.37 times -1.85?\nAnswer: -16326.9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1. Let j = 0.078 - 31.078. Let p = 37 + j. Which is the closest to p? (a) -4\/5 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6*b = -390. Calculate the common denominator of b\/52 + (-21)\/(-1) and -37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:23 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, 0.3, 2, -936?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 264\/60 - (-6)\/(-15). Suppose 0 = -3*c, -g*c = -5*o + c + 1505. Is 43 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 2*l**2 + l + 4. Let f = 0 - -4. Let z(s) = -13*s**3 - 2*s - 1. What is the remainder when o(f) is divided by z(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 + 151 + 2535 = -158*b - 7540 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/3 - 877*r**3\/3 - 197033*r**2\/3 - 2077967*r\/3 - 1124934 = 0. Calculate r.\nAnswer: -433, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 5. Let u be z(-5). Let n be u\/70 - 530\/(-7). Suppose 4*l = 2*t - 250, l - n + 710 = 5*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/(-16) + 1 + -6. Find c such that 0 + 1\/3*c + 1\/3*c**3 + 2\/3*c**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 517*f - 249719. Calculate h(483).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 - 6*w + 2. Let z be u(6). Suppose 15*m - 20 = 14*m. What is the remainder when (3\/z)\/(2\/76) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - 3.8. Suppose 5*r - 86 + 61 = 0. Which is the closest to -0.2? (a) r (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2 + 1120572*d + 210334688?\nAnswer: 2*d + 1120572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/9 - (-16045078)\/1926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 11*f + 5*f - 3*f**2 to the form b*f**2 + a + y*f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*m - 48983 + 52181 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -51, 0, 5 in decreasing order.\nAnswer: 5, 0, -51, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103316 and 5.\nAnswer: 516580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477249 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 12*u + 9*u)*(-6*u + 3*u + 14*u).\nAnswer: -33*u**2 + 22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let d be (-15)\/(-10) - (-27)\/(-6). Sort d, j, -5 in decreasing order.\nAnswer: j, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {w: 1, y: 6, d: 11}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46992\/(-114543))\/((-8)\/26).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -0.4, -10\/13, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.4, -10\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116451 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 227936.737728744 and 0.4.\nAnswer: 227937.137728744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 + 10*f**2 - 6*f - 4. Let p(x) = x**4 + 12*x**3 + 31*x**2 - 19*x - 11. Let z(b) = 7*o(b) - 2*p(b). Suppose z(u) = 0. Calculate u.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let k = -192 - -193. What is the first derivative of -13 - 3*h**3 - k - 5*h**3 - 5*h**r wrt h?\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25\/3)*b*b*b*b*b*b**20\/b)**(-1\/18) assuming b is positive.\nAnswer: b**(-47\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2966, 6, -2, -16 in ascending order.\nAnswer: -2966, -16, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/12521 or 3?\nAnswer: -44\/12521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -386\/571705 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91252941, -91252940, -91252939, -91252938, -91252937, -91252936?\n\"Answer: b - 91252942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034325 and 507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 3\/5 (b) -0.1 (c) -1\/9 (d) -0.7 (e) 608\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose 0 = 4*o + z*v - 16, 0*v - 32 = -4*o + 4*v. Let b = o + -4. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6\/2 + 27*i**5\/5 - 15*i**4\/2 - 9. Let m(q) = 0. Calculate q.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/28 - (45\/36 + -1)\/1 - -30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-24))\/(((-96)\/18)\/(-16)). Solve 4*y + z = 3*q, -13 = -2*y + q - 4*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 39 = 3*j, -2*h - 5 = 1. Let v = j - -15. Let c be (-1 - 3 - -4)\/v. Solve -2*z - 3*z - 2*y + 14 = c, -2*z - y = -5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 9) to base 13.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/30 - (-34)\/10. Let m be (1 + 1)\/(j + -1). Differentiate 5*a + 1 - 4*a + m with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/1181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 58 = -4*m + 4*f, m + f + 31 = 0. Let c be 3*((-58)\/m + 2\/(-22)). Solve 6*g - c*h = g - 5, -4*g + 2*h = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -t - 2*z, -t + 163*z - 161*z = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 268.8404ng?\nAnswer: 0.0000000002688404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z, z + 925 = -3*g + 268. Let t = -121 - g. Is 49 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4720234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -20 + (29 - 7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 2)\/((-8)\/(-26388)*-9) is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = 387 - 387 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2. Let a be k - -1 - 3*-1. Let i = 13 - 18. What is the third biggest value in i, -2, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-3)\/4)\/(-7 - -9). Let d = 0.15 + -0.21. Sort n, d, 3 in increasing order.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 31, -16, 13.\nAnswer: -19, -16, -5, 13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010 = -17*i - 82*i - 574 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76024 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -6 - 14) + -10 + 1 + (110 - 33)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-16)*h\/(h\/(h\/(h\/(h*h\/(h*h**20))))))\/(h**(-3)\/(h\/h**(1\/5)*h*h)))**9 assuming h is positive.\nAnswer: h**(-1224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.139745 + -4.860255. Let p be (8\/(-10))\/((-2)\/10). Let d be 3*2\/12*p. Sort a, d, 0.5 in increasing order.\nAnswer: a, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 763*y - 10679. Calculate s(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y, -2*y = -2*i + 2*y - 24. Find the common denominator of -233 - -223 - 241*3\/(-87) and i\/2*(-69)\/(-99).\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 787395864 and 1192?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-168)\/18)\/(-7))\/18*6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68dc (base 14) to base 13.\nAnswer: -83b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 + 104. Let q be (8 + 369\/(-45))\/(v\/(-10)). What is the closest to q in 2\/17, 1\/2, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/9)\/x)**10*(x*x**(-3\/7))\/(x**(-6)*x))**(-16\/5) assuming x is positive.\nAnswer: x**(-7856\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/29)*z)\/((z**7*z*z)\/z*z))**(1\/32) assuming z is positive.\nAnswer: z**(-115\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -8.3. Let j = y + -7.11. Let v = 265 + -269. Which is the nearest to 1\/3? (a) v (b) 1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 675635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145de5 - 2e?\nAnswer: 145db7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*a + 145*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*j - 945 = 339*j. What is the remainder when 2\/(-4)*-2 + 75 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*l**5 + 140520*l**4 + 2*l**3 - 4*l**2 - 2235551*l + 3 wrt l?\nAnswer: -10800*l**2 + 3372480*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 5*o - 35 = 0, 3*o = x - 17. Let b be ((-1)\/((-15)\/(-30)))\/((-2)\/4). Suppose 0 = -h + t - 3, -5*t = 4*h - 11 - 13. Solve 0 = x*u - b - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -2*n**2 + 0*n + 1\/6*n**3 + 1\/12*n**4 + 0. Let m be z(1). Solve -2*l - 7 = -m*p + 2*p, -4*l - 5*p - 35 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 3, 29, 87, 189, 347, 573?\n\"Answer: 2*n**3 - 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*k - 78*k + 125*k)*(-2*k - 2*k + 3*k).\nAnswer: -139*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4476304 (base 8) to base 11\nAnswer: -758314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139344739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h + 435. Give x(22).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 0 + 0 + 26*o + 2*o + 16*o + (-3 + 1 + 4)*(-2*o + 4*o - o) - o + 4*o - o.\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*z - 165 - 33 + 58. Let v = 26 - 5. Put 3, 0, z, v in increasing order.\nAnswer: 0, z, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 13697582?\nAnswer: 13697591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*42\/(-147)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*p + 129*p + 78*p + 128*p as r + m*p and give m.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -7.1 (b) 2\/5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 696 = 5*f - 3*w, 5*w - 720 = -5*f. Suppose f = -5*t + 516. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 - -202. Let r = 7 + -20. Is b equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 1, h: 5, c: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 66*y = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2010098730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8340\/45)\/((-4)\/(-6)). Let t = -79 + y. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92464 is divided by 428?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 28 = -2*a, -3508*a - 5*p - 30 = -3506*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18997 + 18997. Let r(n) be the second derivative of f*n**3 + 0*n**2 + 5*n + 1\/6*n**4 + 0. Let j(b) = 2*b. Give r(j(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 2. Let n = 5 - m. What are the prime factors of (24\/(-9))\/(2\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(105\/12)*((-325)\/78 + 5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 3*k)*(k + 2*k**2 - k) + 5*k**3 - 2*k**3 + k**3 + 9*k**3 + 25 + 672*k - 339*k - 335*k.\nAnswer: 17*k**3 - 2*k + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27420439*o**4 - 8261808?\nAnswer: -109681756*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56\/85 in 0, -0.7, 0.01, 0.2, 2\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50432)\/(-56736))\/((-4)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 82*p + 23 = -5*o + 61, 4*p - 204 = 6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -22026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 220316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/44 - 270\/(-33). Let r(b) = 50*b - 18. Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.8 - 8.88. Let f = 21 + u. Let i = f - 0.319972. What is i rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53122 (base 8) to base 2.\nAnswer: 101011001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 + 2577700*c + 38666400 = 0. Calculate c.\nAnswer: -15, 644440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6006327, 6006352, 6006375, 6006396, 6006415, 6006432?\nAnswer: 6006447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2116033 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 - 9 = 0, -6 = -d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8950362 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17662 - 11982. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 95 = -2*c, c + f + 11 = 56. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-8)*(-36)\/(-14). Suppose -r*x + 1940 = x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -8, 23, 54, 85, 116?\n\"Answer: 31*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*s = 88*s - 24. Let t(h) = 8*h - 8 - 20*h + 8*h + s*h**2 - h**3. Let k be t(7). Solve 0 = 5*x - 7 - k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2963705 to four dps.\nAnswer: -0.2964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 16733?\nAnswer: -16732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 5*o**2 - 11*o. Let w(g) = g**3 + 2*g**2 - 5*g. Let z(x) = -2*l(x) + 5*w(x). What is the second derivative of z(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14650118.861534 from 3.\nAnswer: -14650115.861534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 33\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6714, 6713, 6712, 6711?\nAnswer: 6710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 2. Let j be a(4). Suppose 4 = -5*w + 44. What are the prime factors of 56 + w\/4 + j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 56. Suppose 2*j = 5*a - 41, -a - q = 3*j - 0. Suppose a*r - 4*r - 15 = 0. Solve -2*d - 8 = -4*y + 10, -r*d - 4*y = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -38*x + 45. Let v(l) = -38*l + 46. Suppose 0 = -7*k - 36 + 8. Let o(r) = k*v(r) + 5*z(r). Differentiate o(p) with respect to p.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 0*c**2 + 0*c**2)*(11*c - c - 2*c).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 16, -4\/15, 11, 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) 2\/23 (b) -1\/5 (c) -626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -110. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 9*t + 5. Determine m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 - -6) + -2 + 1 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 274345 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*a + 4*a - 56, -2*a - 3*p = -31. Let f be (1 - a)*9\/(-15). Solve -2*x = -5*h - 13 + 3, -4*h - f = -2*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -31710723.\nAnswer: 2\/31710723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66711426 by 6.\nAnswer: 11118571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153709, 614603, 1382759, 2458177?\nAnswer: 3840857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*2)\/(4\/(-6)). Let k = -2.1592 - 0.0308. Let u = k - -0.19. Which is the second smallest value? (a) 5 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*k**4 - 3*k - 7*k**5 + 22*k**4 + (0*k**4 + 3*k**4 - 2*k**4)*(-3*k + 0*k + 4*k).\nAnswer: -6*k**5 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/4 - 241*i - 10483\/4 = 0.\nAnswer: -953, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 40 = -0*x - 5*x, 5*x = -4*r - 40. Let f be 12 + x - (-180)\/(-46). Let q = -3\/56 - 13\/56. Which is the second biggest value? (a) q (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-63)\/(-14) + -3)*10246 + (-12)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 5786542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -1)*(-410 + 1). Suppose v = 18*z - 14*z. Let h = -246 + z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 6266 - 12751 + 32*w + 6485.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -4034.\nAnswer: 806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 12*g**2 + g**3 - 15*g**2 + 31*g - 2*g**2 - 2*g**2 + 9. Let v be c(31). Solve -t = 2*t + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - t - 7*t + t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 80, 72.\nAnswer: 72, 80, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/5, -1\/16, 1\/3, 1 in decreasing order.\nAnswer: 1, 1\/3, -1\/16, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012292 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*o**2 + 51*o**2 + 6 - 6.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4845)\/(-6650))\/(10\/4) and -8\/125.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - ((sqrt(98) - (1 + sqrt(98))*-2) + sqrt(98)).\nAnswer: -21*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17743 and 3619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - 2521\/(-6). Let c = 435 - v. Find the common denominator of c and (-14)\/(-28)*(-91)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 16 - 14*f**2 + 7*f**2.\nAnswer: f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s)\/s)**16\/(s*s**(-3)*s**(-9)*s) assuming s is positive.\nAnswer: s**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415112142 rounded to three decimal places?\nAnswer: 0.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5)*w)\/(w**5*w))\/(w*(w\/w**(-3\/2)*w)\/w*w*w**(-6)))**(-39\/4) assuming w is positive.\nAnswer: w**(663\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/36? (a) 73 (b) 3 (c) 115.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383 smaller than 2245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a**(-6)*(a*a*a*a*a**1\/a)**28)\/((a\/(a*a\/(a\/a**(1\/11))))\/(a**(-5)\/a)*a**(-3)*(a\/(a*a**(2\/21)*a))\/a) assuming a is positive.\nAnswer: a**(26839\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2796 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 5) to base 7\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 266. Let t(p) = 3800*p. What is j(t(g))?\nAnswer: 3800*g + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 2*q**4 + 48*q**3 - 43*q**2 - q + 11 wrt q?\nAnswer: -120*q**2 + 48*q + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 149*r**2 + 1694*r + 41. Give t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**5 - 12*d**3 + 102*d**2 - 6*d + 18. Let y(t) = -t**2 + t - 3. Let n(q) = g(q) + 6*y(q). Find the third derivative of n(b) wrt b.\nAnswer: -420*b**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 + 5 = 5*o, 27 = -5*o - 3*p. What is the remainder when 40 is divided by (-1)\/o - (-328)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*v = -5, -6*v - 20 = -v. Suppose 6*p = y + 115. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 12. Suppose -4*m = -6*m + 16. What is the tens digit of j(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 2*w = -w - 124, -4*w - 29 + 13 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21 - 7*o**3 + 26*o**2 - 7*o**3 + 15*o**3 - 28*o. Let k be w(-27). Suppose 0*m + 2 = m. Solve -4*y - k = -m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 40 + 12)*(0 + 1 - 4)*(2 + 0 + 0)*(-3*p**5 + 8*p**5 + 5*p**5).\nAnswer: 720*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16524237 by -5.\nAnswer: 16524237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-5))\/((-1)\/5). Suppose 35*g + 1797 = 502. Let k = t + g. Calculate the greatest common divisor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/4*(3 + -2) - -2. Let o(g) = 7*g + 21. What are the prime factors of o(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and (-27)\/(-2)*20\/15*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651481 is divided by 50044?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -19*x**6\/3 - 37*x**3\/3 - 6. What is the third derivative of u(k) wrt k?\nAnswer: -2280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447771?\nAnswer: 13, 17, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Solve 0*h + v = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -2 (c) 3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 76522.59ng?\nAnswer: 0.00007652259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.762 + 1.762. Which is the closest to y? (a) -2\/17 (b) -0.1 (c) 3 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -3371228\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-94 - -106) - (4 + -44)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56729 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.2. Let r be 24830\/(-100) + (-6)\/(-20). Let i = 252 + r. Which is the third smallest value? (a) w (b) -1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 186*j + 1 + 75*j + 3.\nAnswer: -111*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.9685 years to centuries.\nAnswer: 3.539685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79\/142 + -16339\/11502. What is the common denominator of -131\/6 and a?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1163\/4 or 1613?\nAnswer: -1163\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/5 (c) 0.2 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 307\/6. Let i = 19\/3 + -41\/6. Let p = d - i. Sort 0.4, -0.2, p in decreasing order.\nAnswer: 0.4, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89094.1 plus -1.1?\nAnswer: -89095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063404593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(162) + 3 + -5)*2 + 1*(2*(-1 + sqrt(162)) - sqrt(162)))**2.\nAnswer: -162*sqrt(2) + 1467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 180*i. Let d(v) = 15*v + 71*v - 100*v + 15*v. Give d(b(l)).\nAnswer: 180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 2*p**2 + 9*p + 5. Let z be w(-4). Solve -i + 0*i = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**3 - 4*p + 11. Let g = -16 - -7. Let h(y) = 6*y**3 - 4*y + 7. Let j(z) = -z + 1. Let u(v) = h(v) - 2*j(v). Give g*u(d) + 4*t(d).\nAnswer: -2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-20))\/(7\/56798)?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 76*d**2 + 4 - 152*d**2 - 70 + 81*d**2 as s + j*d**3 + m*d**2 + u*d and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*18*(-915)\/2440*600\/(-27)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1002112332?\nAnswer: -1002112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - (-24 + 10 - -30) - (-80 + 2)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -368.\nAnswer: -368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-6\/11)\/u))\/(u\/(u**11\/u)))\/(u\/u**(-2\/3))**(-47) assuming u is positive.\nAnswer: u**(2966\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.1, -2, 0.8 in decreasing order.\nAnswer: 0.8, 2\/17, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.95 - 3. Let h = f - -0.09. Let z = -0.24 + h. Put z, 4, 3 in decreasing order.\nAnswer: 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l - 1 - 32*l + 25*l + 0 - 19*l.\nAnswer: -37*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 + (-423)\/(-594) + 11546\/(-6072)*-36?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 66. Let n = 56 - -4. Calculate the highest common divisor of n and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - a - a**3 - 397*a**2 + 198*a**2 + 201*a**2 as i*a**2 + v*a + d*a**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4029, -8054, -12015, -15882, -19625, -23214, -26619?\n\"Answer: 5*f**3 + 2*f**2 - 4066*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 1. Let w(m) = -m**2 + 3*m + 3. Suppose 5*h + 4 = -6. Let u(c) = h*w(c) - 6*p(c). Let z(d) = d. Determine z(u(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejiqjjvvici. What is prob of picking 1 v and 1 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204*m**2 - 9*m + 5 wrt m?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/5)\/(f*f**(-4)\/f))**(-2\/11))**(-2\/61) assuming f is positive.\nAnswer: f**(64\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14462 in -5, 3\/148, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 129478040 divided by -122380\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*i = 7, -4*w + 4*i + 14 = 6*i. Let 4\/17*h + 2\/17 + 2\/17*h**w = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(6))\/sqrt(2) - sqrt(11))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.054 and -1064.097306?\nAnswer: 1064.151306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/(-3)*(-202890)\/(-317861)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74134, 74157, 74196, 74251, 74322?\nAnswer: 74409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.917*-196.\nAnswer: -2139.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 + (-10)\/6). Let j be 0 - -23 - 1 - -3. Suppose a*c = 44 + j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*t - 4*t = 0, -3*w - 4 = -4*t. Suppose 2*b + w*y - 52 = 0, -5*y + 12 = 5*b - 108. Which is greater: 27 or b?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2983 - 3007 = 5*c - 2*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024495333 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 258?\nAnswer: 31218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t - 9. Let g be q(-6). Suppose -g*h = -44*h + 1785. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45210, -45142, -45076, -45012, -44950?\nAnswer: -44890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 13*t**6\/120 - 5*t**3\/6 + 4*t**2 + 8*t. Let h(s) be the first derivative of u(s). Differentiate h(y) with respect to y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785961 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 2*l + 8. Let y(i) = -i**2 - i + 2. Give t(g) - 3*y(g).\nAnswer: -3*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5074 or -5073?\nAnswer: -5073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1960 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/6 - 2129*z**4\/3 - 1498799*z**3\/6 + 5341739*z**2\/3 - 1027630*z - 3057300 = 0. What is z?\nAnswer: -3870, -395, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 28. Let t(b) = 17*b + 162. Let c(h) = -52*h - 459. Let g(u) = -6*c(u) - 17*t(u). Determine g(i(r)).\nAnswer: -23*r - 644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoghag. Give prob of sequence hao.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8372 and 46368.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -280, -638, -1140, -1786, -2576?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c + 0)*(-35*c - 124*c - 153*c) + c + c**2 - c to the form r*c + j*c**2 + f and give j.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c - 9. Let d be v(-5). Suppose -4*u = -d - 190. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733499289.\nAnswer: 3, 17, 43, 111491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Let q = 0.70209 - 0.20209. What is the second biggest value in -4, q, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3788 and (-25)\/((-1250)\/2540)*(-5)\/12.\nAnswer: 11364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005673010198 to seven decimal places.\nAnswer: 0.005673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o + 233 = 73 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14258 + -14293. Which is the second biggest value? (a) 2\/5 (b) 2 (c) g (d) 5 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 10*n - 16. Let w be p(6). Let d be (-5)\/(75\/w) + 3\/9. What is the closest to -1 in 5, d, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118432 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 68*f - 56*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970104 is divided by 166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -0.3*2651458\nAnswer: -795437.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/3 + 445\/267 - -20863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1323 and 34650?\nAnswer: 727650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*b + 59*b - 65. Find the second derivative of 21*u**3 - 489*u + 467*u + 13*u**3 - 3*u**3 + 2*u**b wrt u.\nAnswer: 40*u**3 + 186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + k + 13, -k + 11 = 2*o - 0*k. Suppose -4*u - 97 = 4*d - 5, 5*d + o*u = -113. Let s be 144\/(-357) + (-6)\/d. Do s and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*a + 18, 4*a + 2*f + 8 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -40. Let p be ((-4)\/(-6))\/(o\/(-27)). Let r(d) = 5*d**2 - d + 2. Let u(c) = 10*c**2 - 2*c + 3. Let y(x) = 5*r(x) - 3*u(x). What is y(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 12 + 19 - 10 + 2*h in the form t*h + a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 14 - 8. Let j be ((-3)\/34)\/(3\/76). Is j at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.56385 - 56.73. Round s to two decimal places.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 9*h**2 - h - 9. Let g be v(-9). Suppose g*a - 3 = a. Put a, 0, -1 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**0*(((n*n**(-18))\/n)\/n*n)\/n**11 assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = -3*k, 0 = 3*k + 6497*q - 6501*q - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32*(-63)\/(-60) - 2\/(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yysy when four letters picked without replacement from jssyyys.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*m = 215, 4*i + 7*m - 3*m - 412 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428 = -3502*i + 3570*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-15)*16*3\/2. What is the tens digit of 2*(-2)\/x*58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*l, 0 = p - l - 0*l - 8. Suppose 1032*g + 40 = 1037*g. Let k be (-14)\/(-4) - (-1)\/2. Solve 5*v + g = -k*w, v - 3*w + 5*w = -p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106295 divided by -21259\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y + y)*(0*y + 0*y - 3*y) + 7*y**2 + 3*y - 3*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 27*q + 30. Let v be y(12). What is the units digit of (v\/5)\/((-63)\/30765)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(320) + -2 + sqrt(320) + -4 + sqrt(320)))**2 - (3 + 4*(sqrt(5) - sqrt(180)\/sqrt(4))).\nAnswer: -1144*sqrt(5) + 11661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d - 6. Let s(b) = 9*b + 7. Let k(h) = -7*l(h) - 6*s(h). Let t(w) be the second derivative of -w**4\/12 - 13*w - 3. What is k(t(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -208, -232, -258, -280, -292?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/(p*p\/p**0)*p**(-6\/11)*p**(-4\/7)*((p**0)**7)**(2\/15) assuming p is positive.\nAnswer: p**(453\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 839, 1158, 1489?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j - 2\/7*j**4 + 2\/7*j**3 + 0*j**2 + 0.\nAnswer: -2*j**3*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 571\/10. Calculate the common denominator of u and 47\/6787.\nAnswer: 67870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + -178.89. Let y = s - 0.21. Is y > 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517461011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/17 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38179, 42656, 47133, 51610?\nAnswer: 56087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653110 is divided by 564?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let s be l(8). Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 27*j**2 + 3. Let i be t(3). Let h = -160 + i. Suppose -h + 14 = -8*c. Solve c = 3*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*a + 146, 2*t - a + 301 = -2*t. Are -75 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -21 + 75 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/5)\/2 - 297\/495\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54803950.\nAnswer: 2, 5, 1096079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5168)\/(-12240) - (2 + (-16)\/9). What is the third smallest value in -35, u, -11\/2, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-608 - -645) + (-1 - 5 - -4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243\/4 - 61. Suppose -4*h - 7 - 353 = -4*c, -5*h - 98 = -c. Let x be -5 + (-66)\/c + 245\/44. What is the smallest value in x, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*p + 26, -3*u + 32 = u + 4*p. Suppose 5*y - 11470 = -4*d + 3210, y + u*d = 2925. Round y to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*v**4 - 392\/3 + 20*v**3 - 506\/3*v**2 + 280*v = 0. Calculate v.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(17))*1.\nAnswer: -6 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2539855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**5\/80 + f**4\/16 - 5*f**2\/2 - 5. Let t(k) be the second derivative of z(k). Find g such that t(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 31400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - h = 5*h + 11, -28448*h - 55 = -5*m - 28445*h for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9950710 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -72755.\nAnswer: -29102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160460581?\nAnswer: 23, 6976547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11268 rounded to three decimal places?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/(2 - 6\/4). Solve -4*o = -q*z - 6, -5*z = 2*o - 12 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4107719 and 882?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*(-1)\/7*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 53 = 5*s, 9*d - 20 = 4*d. What is the remainder when 36 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6577, 52071, 175553, 416017, 812457?\n\"Answer: 6499*p**3 + p + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415705950 - 1415705950 - 53*t**3.\nAnswer: -53*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.92 + -59. Let p = y + -1.92000099. Round p to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 84 - 60 = -2*g, -4*g + 5*i = 33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*-7)\/(1\/(-2)). Suppose 3*b + 5*t = n, b + 2*t + t - 12 = 0. Calculate the remainder when (5*1)\/(-2 - (-28)\/12) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - (5 - ((-37 - -17) + 2))) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101479 - 100499. Let k(o) = o**3 - 7*o**2 - 6*o + 4. Let p be k(8). Calculate the greatest common divisor of f and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04462 * 2\nAnswer: -2.08924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4467129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13860*z**2 + 29266*z**2 - 13230*z**2 to p*z**2 + q*z + v and give p.\nAnswer: 2176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 2*y + 6*y. Let l = y + 6. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -33. Suppose -j = -i*j - 5, -j + 218 = s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -36*g + 4. Let v be h(-3). Suppose -235 = -4*y + l, 0 = -5*y - 3*l - 130 + 445. Let t = v - y. What is the highest common divisor of 78 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496905*g**3 + 496896*g**3 + 496901*g**3 - 1490707*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62332340 a multiple of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 - 9*o**2 - 11*o**2 + 67*o**2 - 42*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 545012.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x - 12. Let c = 2 - 9. Let w be b(c). Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -1, -5, -9, -13, -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2) + 7697\/(-946))*143\/26?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 + 9*i**3 + 0*i - 8*i**3 + 7*i + 7. What is the remainder when u(-8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.844, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -63. Let b = z + -13. Let x(j) = 25*j**3 - j**2 + j - 1. Let d be x(1). Solve -d = -b*g + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*(-482)\/(-16))\/(17\/68). Let k = z - -502. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbu when four letters picked without replacement from {u: 2, l: 3, v: 3, b: 7}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79311431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 + 1 = 0, -4*h = f. Suppose 3*a + 5*b = 4*a + f, 0 = -2*a + 2*b. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2042*n + 1164*n + 902*n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216946973.\nAnswer: 5813, 37321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 317505*n + 174 - 317502*n + 1164 in the form z + j*n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 32 + 18)*(-3*w - 3*w + 5*w) in the form z + a*w and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:37 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-5 + 1032\/207)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from {b: 7, s: 4, t: 5, j: 3}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 88, 193, 342, 541, 796, 1113, 1498?\n\"Answer: z**3 + 13*z**2 + 21*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -28, -47, -70?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = t - 185, -165 = 4*b + 3*t. Let d be (-708)\/(-15) + (-13)\/65. Let f = d + b. Solve 0 = f*i - 9 + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51881819300 and 0.013.\nAnswer: -51881819299.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 9 = 6*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2 + 2*u + u**2 + u - 3. Let q(a) = a**2 + 2*a - 1. Let r(x) = -2*x + 4. Let i be r(3). Let g(p) = i*f(p) + 3*q(p). Factor g(k).\nAnswer: (k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 49*o = j + 55, 2*o + 5*j = 11. Solve -o*t = 10*t + 92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4201*2*(-296)\/3248256. Let c = z + 3\/6152. Find the common denominator of 133\/6 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 3. Let g be w(-1). Let d(k) = 0 + 4*k**g - k**3 + 0 + k - 4. Calculate d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -84 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 474793640 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*n + y, -180 = n + 3*y - 187 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 = -26. Let m be (n\/15)\/((-1)\/(-8 - -2)). Let c(t) = t**m - 13*t + 14*t + 5 - t. Let p(k) = -k. Calculate p(c(h)).\nAnswer: -h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s - 5. Let n be 474756 + -2*(-3)\/s. Suppose n = -2*k - 2245241. Round k to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -62. Which is the nearest to 0.1? (a) k (b) -0.4 (c) 1\/10 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206583659531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 - 216. Let q = s - -45. What is the remainder when 83 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 3891 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/633, -2\/9, -2.1882?\nAnswer: -2.1882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30270 is divided by 3653?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -178530 (base 11) in base 3?\nAnswer: -111221222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 46, 6, 470 in decreasing order.\nAnswer: 470, 46, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -59, -2\/15, -2, -1\/31, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5 + 13 = 2*q, 4*z = -0*z - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 12 + -30 - 12 - -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 - (-19 + 15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42126679 + (-1 - -2 - 2). Let u = i + -19926678. Suppose j + u = -2*j. What is j rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-36)*1 + 938\/720. Let g = t - 7\/5. Is 1 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*-3*5\/30. Let k(o) = -o. Let t(p) = 6*p. What is l*t(d) - 24*k(d)?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 294 = 42*h. What is the hundreds digit of h + (-3 + 1 - -905)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 - 56600*s**2 + 1975745*s - 9817950 = 0. Calculate s.\nAnswer: 6, 29, 11285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498454 and 10749035.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -271857.07 times 0.1?\nAnswer: -27185.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9687 + -9687.4999875. Let j = 0.5 + x. Round j to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/8876835 and -2\/18249.\nAnswer: 62137845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21077453953\/262879440 - (-2)\/(-3). Let i = p + 2\/1095331. Let k = 391\/5 - i. Calculate the common denominator of -7\/4 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2272480, -2272476, -2272470, -2272462, -2272452?\nAnswer: -2272440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 22*t - 17*t - 423, 4*t - 324 = -2*s. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -2*(-2*sqrt(121) + sqrt(121)) - -3*sqrt(121)*-4)\/((sqrt(3168)*-2)\/((sqrt(72)\/sqrt(4))\/sqrt(9))).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27075 is divided by 8599?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 55956518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m + 10. Suppose m*g - 3*g - 1 = 0. Let c(y) = -3*y**2 + 1. Let t be c(g). Which is bigger: t or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 13*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*h - 7706 + 3152 = 109*h - 87*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 36 + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -15 (c) -0.3 (d) -11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1962, -1965, -1970, -1977?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 66 + 32 = 0. Let p = v + 136. What is the derivative of 25*a - p + 42*a - 91*a wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 77\/3?\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016258691?\nAnswer: 3, 7, 17, 1061, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 50 = 3*c. Is (-526)\/c + 16\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 7*z + 11. Let p(b) = 9*b**2 - 16*b + 21. Give 7*f(c) - 3*p(c).\nAnswer: c**2 - c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((1\/(-4))\/(1\/12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/(m\/(m**(-2\/25)\/m)))\/(m**1*m\/m**(-5))*(((m**(-2)*m)\/m)\/(m\/m**(-2)))**(-2\/67) assuming m is positive.\nAnswer: m**(-8259\/1675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 - s + 5. Let o(n) = -3 + 5*n - 2*n - 2*n - 4*n**2 + 0*n**2. Suppose d - 3*d + 10 = 0. What is d*o(z) + 3*v(z)?\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g**2\/3 - 35*g - 100\/3 = 0 for g.\nAnswer: -4\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 776107*u*x**2 + 3*u*x - 57349*u + 2*x wrt x.\nAnswer: 1552214*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-217)\/(-8) + ((-8)\/(-2))\/(-32). Suppose -3 = -n + 5*u - a, -2*n - 5*u = -12. Does 31 divide (n\/(16\/(-186)))\/(1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 48*r**3 + 50*r**2 = 0. What is r?\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110) + -5*sqrt(110)*1 - sqrt(110))*-2*1)\/((sqrt(100) + 4*sqrt(100)*-1)\/(sqrt(20)\/(1*sqrt(2)))).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - -61805?\nAnswer: 61792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4304944 and -65\/2785552.\nAnswer: 47354384","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 - 145. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31098 divided by 4.\nAnswer: 15549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6 - 4 - 3 + 6*m + 2*m**2. Let p be -2*2\/4 + 14. Let i(k) = -k**2 - 3*k + 6. Let l(v) = p*i(v) + 6*x(v). What is the second derivative of l(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/17 - 80*n**2\/17 - 536*n\/17 - 768\/17.\nAnswer: -2*(n + 2)*(n + 6)*(n + 32)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355360, 710700, 1066022, 1421320, 1776588, 2131820, 2487010?\nAnswer: 2842152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/5 - 22*c**4\/5 + 30*c**3 + 414*c**2\/5 - 108*c = 0 for c.\nAnswer: -15, -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/55, -5\/3, 5, 1\/3, 572?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -7*w - 2*w. Let s(m) = 170*m - 172*m + 6 - w - 2*m**2. Give s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7284, 1, -4, -5, 11 in decreasing order.\nAnswer: 7284, 11, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25886791 a multiple of 5509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 68*m**2 - 578*m + 95. Determine k(-58).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 + -25.67. Let k = -26 - j. Which is the nearest to k? (a) 5 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1341 and 56\/447.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 0.2794?\nAnswer: -0.1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4403.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 27 + 21*s + 9*s**3 - 13 + 40.\nAnswer: 9*s**3 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3 = -2*l, -8*l - 3*s + 4 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52832958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*t + 252*t + 241*t + 251*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27759953*l + 570033560 wrt l?\nAnswer: -27759953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 75. Calculate the highest common factor of w and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 37*z**2 - z. Let i be s(1). Calculate the highest common factor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -848, 196.4, 0.09 in descending order.\nAnswer: 196.4, 0.09, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 9}. What is prob of sequence ppp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/32509031 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9430)\/(-2) + -5)\/1. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, t: 1, q: 2, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10981525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -982, -8097, -27610, -65785, -128886, -223177?\n\"Answer: -1044*b**3 + 65*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {w: 2, k: 2, u: 1, s: 3, e: 3, x: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 + -228. Let n = 123 - p. What is the nearest to 1.6 in 1\/5, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, y: 3, o: 2, d: 2}. Give prob of picking 1 d and 1 y.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 8 + 0 + (-19 - -13 - -30)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhuuh. Give prob of picking 1 h and 1 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57118345246 + 5*w - 57118345246.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/828 and 49\/36.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 86. Suppose -q = -3*s - 6, 2*q - s - s = 4. Suppose q = 4*d - 22 - 338. Calculate the greatest common divisor of w and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 3\/7*y**4 - 24\/7*y - 16\/7*y**2 + 2\/7*y**3 - 2\/35*y**5 + 41. Solve v(w) = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 523?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475217 is divided by 82.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100011101110 - 1010101?\nAnswer: 10000100010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*x**3 - 3*x**2 + 26073*x - 77897587.\nAnswer: -93*x**2 - 6*x + 26073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.01 (b) -6 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-290)\/(-22) - (-8)\/(-44). Let i = 1224 + -3631\/3. Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1072 + 1073. Sort p, -3, -2, 0, -1\/5 in descending order.\nAnswer: p, 0, -1\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.6 - -14. Let t = q + 5.4. Let g = t + -26. Is g < 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-14)*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3805.\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355\/(-2) - 0\/4)\/((-25080)\/(-10032)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k - k**2 - 78 + 2*k**2 + 85. Let i(c) = -c**2 + 7*c - 7. Let v(w) = 5*i(w) + 6*o(w). What is the units digit of v(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = 5*k + 44. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*b - 59*b = -6474 - 7220 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 2. Suppose -16*i + 21*i = -20. Let h(q) = -q. Give i*h(s) - w(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o + 35. Let j be x(-2). Let h be (4\/(-9))\/((-203)\/63 + j). Solve -h = f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163 and 15811.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/9 + 28*r\/9 - 80\/9 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = d + 4. Suppose p - 3*r + 16 = 0, -4*p + 4*r = d + 9. Let y(h) be the second derivative of 11*h**5\/20 + h**4\/12 + h**3\/6 - h. What is y(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 + -104) - 34.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198158?\nAnswer: 2, 99079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -70*y + 1746. Calculate w(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696129964.\nAnswer: 2, 83, 2096777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let v be (2957 - (-2 + l))*25. What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/4 - -333\/20. Let k = -5.6081 - -8.6081. What is the second biggest value in k, -2, -24.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229120 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 3840 = -8*v. What is the least common multiple of v and 22?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3832 divided by -479?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1228*g**5 + 2462*g**5 - 4*g - 1230*g**5 - 2*g**2 + (-1 + 1 + 2)*(3 - 3 + 2*g**5).\nAnswer: 8*g**5 - 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(8\/(-72)). Put i, 87, 1\/2, -4 in ascending order.\nAnswer: -4, 1\/2, i, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l + 279. Determine d(33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 - 4*j + 3. Let d(c) = -3*c**3 - 7*c**2 - 9*c + 7. Suppose -63 - 7 = -10*i. Calculate i*p(o) - 3*d(o).\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.71 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1495, 2990, 4485, 5980, 7475, 8970?\nAnswer: 10465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5 + 0 = q, -5*q + 3*n - 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 13. Let o(k) = -k - 1. Let d(p) = -2*o(p) - s(p). Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/30*(-15)\/(-70) + 12253\/(-122730). Are z and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/5991335 and 34\/1265775.\nAnswer: 89870025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -592?\nAnswer: -3\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167936 and 4?\nAnswer: 167936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*(a*a*a**0\/a)\/a))*a)\/a*a)**(-18\/11))**(-3\/20)*(a**1)**(-11\/4)\/(a**1\/(a**(1\/3)\/a)) assuming a is positive.\nAnswer: a**(-2591\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -4 - (19 - (-2 + (5 - -13)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 73528, -7, 5, 0 in ascending order.\nAnswer: -7, 0, 5, 73528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/22 + 1492\/22. Let s = a - 40. What is the common denominator of s and -43\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0958+-92498447.5\nAnswer: -92498447.5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1155 - -1158. Factor -4\/13*f**2 + 0 - 2\/13*f**n - 2\/13*f.\nAnswer: -2*f*(f + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 339?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -645 (base 14) to base 6.\nAnswer: -5421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = s - 131, 5*s - 4*s - 123 = 4*v. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131241348 and 1738296.\nAnswer: 262482696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 17*d - 12. Let f be h(-16). List the prime factors of 5 - f\/2 - -36.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 - 1. Let n be k(-1). What is the tens digit of (n\/10)\/((-6)\/195)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 50. Let g = x - 55. Solve 3*s = g*s + 3*l, 0 = 5*s - 5*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5*r - 1. Suppose 2*z + 2*z = -f - 1, 2*f = -4*z + 2. Calculate the remainder when w(6) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30064155 and 58710?\nAnswer: 1142437890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.05 (b) 0 (c) 3\/5 (d) -5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -1, -2, -3, -4?\n\"Answer: -n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -75*v + 253 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -842 + 847. Let g(c) = c**3 - 5*c**2 + 3*c + 6. What is g(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5 + 3974964*y**4 + 1316702850015*y**3 + 5266767675534*y**2 + 6583442700864*y + 2633373900384 = 0?\nAnswer: -662492, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 718281517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*w**2 + 73 + 332*w**4 + 31 - 334*w**4 with respect to w.\nAnswer: -8*w**3 - 146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/16*1). Suppose -s + l = s. Sort -3, s, 3 in increasing order.\nAnswer: -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 36 = 10*x. Let d(z) = 2*z**2 + 9*z + 6. Let l be d(x). Solve -2*o - l*o = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 175.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156688452?\nAnswer: 2, 539172113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63019 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s - 1. Let m be k(3). Let o(r) = -2*r**2 + 4*r - 3*r**3 + 3*r**3 - 2 + 7*r**3 - r**3. Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s + 3. Let j(o) = -39*o + 11. What is 6*j(c) - 22*u(c)?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 945126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) + 42\/18. What is the greatest common divisor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose 7*z = k*z + 25. Differentiate 1 - 3*v + z*v + 3 with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*d + 6*r - 30, -5*d - 5*r = -45. Solve -b = -0*u - d*u - 23, -5*u = 5*b + 35 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*w - 9016 = 459*w. List the prime factors of w.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10 and -25\/13616.\nAnswer: 68080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1735614 by 578538.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0)*1*14. Suppose 4*d - g = 4*u, d - 3*u = -d + 15. Let b = 13 - d. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/31319?\nAnswer: -6\/31319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 + s. Let o be i(-2). What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5526175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0 + 4. Let j(n) = n - 2*n - 3 - 1 + 5. Let r(g) = g**2 + 2*g - 2. Give f*r(i) + 2*j(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -14\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**5 - 3*s**4 + 215*s wrt s.\nAnswer: 160*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*w + 1538 - 1556, 6 = -2*j + w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.3, -0.5, -23.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 2 = 0. Let k be 3\/(3\/(-2)) + 4. Let a = c + k. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(90)\/sqrt(2) - sqrt(45))*5 + (sqrt(375)\/sqrt(3) - (-5 + sqrt(5)*3)).\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10101?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 7*s + 2. Suppose 23 - 11 = -6*l. Let p(v) = 16*v**2 + 34*v - 11. Let o(m) = l*p(m) - 11*h(m). Determine o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1889, -4676, -9337, -15878, -24305, -34624, -46841?\nAnswer: -60962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + (-75 - -82).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 182, 431, 790, 1265, 1862?\n\"Answer: x**3 + 46*x**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 8. Let m be 110\/(2*x\/2). Suppose -4*y = -m + 30. Calculate the remainder when y is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*z - 641*z + 423*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15897, -31567, -47237, -62907, -78577?\n\"Answer: -15670*l - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 815449 by 1.\nAnswer: 815449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1011, 3, 0.3 in decreasing order.\nAnswer: 1011, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s - 8 = -w, s - 8 = -w. Suppose -w*a = 9 + 23. Put -4\/7, a, -3\/4, -2\/9 in decreasing order.\nAnswer: -2\/9, -4\/7, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:07 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3256?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 13 + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + (-19)\/(-3). Let m be -4 + 318\/54 + 1\/9. Suppose -3*g = -5*c - 16, 4*g = m*g + 4*c + 12. Solve g*n = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let v(u) be the second derivative of -u**4 - 3*u. What is h(v(f))?\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**9\/15120 + v**7\/1260 - v**5\/30 + 10*v**2. Let x(q) be the third derivative of u(q). Factor x(r).\nAnswer: -4*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = h - 1059. What are the prime factors of h?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.082354? (a) -8 (b) 0.3 (c) -6 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 467 + -459. Calculate the smallest common multiple of (12\/5)\/(1\/5) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 31*m**2. Let h(p) = -32*p**2 + 48*p + 12. Let l(k) = 13*k**2 - 20*k - 5. Let i(j) = -5*h(j) - 12*l(j). Determine z(i(c)).\nAnswer: 496*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113004103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*y - y + 8, 2*x + 10 = -5*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63507234 is divided by 224407.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001310030 (base 4) in base 16?\nAnswer: 201d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5908105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97817 is divided by 32507?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 1\/3*l**3 + 4\/3*l - 1\/3*l**2.\nAnswer: -(l - 2)*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001011010111000 + 1?\nAnswer: -1000001011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 784a?\nAnswer: -7853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 100*b**2 - 27*b + 10. Is 6 a factor of m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 44*i\/3 + 30.\nAnswer: -(i - 2)*(i + 90)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.9. Let k be 3*3*(120\/27 + -3). Suppose -5 - k = 6*l. Which is the second biggest value? (a) -4\/5 (b) r (c) l (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-11)\/((-22)\/(-12)). Solve 0 = m*o + 8 + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from lffwvfw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**2 - 161220*z + 161216 = 0.\nAnswer: 1, 40304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(-19)\/t)\/t)))\/t*t)\/(t*t*(t\/(t\/((t**(-4\/3)\/t)\/t)))\/t*t*t*t) assuming t is positive.\nAnswer: t**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 32. Let n be q(-8). Suppose 6*u - 2*u = 3*o + 8625, 5*u + 3*o - 10788 = n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 4, o: 3}. Give prob of sequence bb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 greater than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.778 + 6.678. Let v = -0.1 - 0. Let j = v + 0.2. What is the nearest to j in i, 6, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 879024?\nAnswer: 4395120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225168?\nAnswer: 2, 7, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -570 - -574. Put -4\/5, x, 19, -0.2 in decreasing order.\nAnswer: 19, x, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 7*h + 205 + 28 - 3*h as r + b*h and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 26*b**2 - b - 1. Let n be c(-1). Suppose 0 = -s + 2 + n. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-4)\/((-16)\/(-542))*(-20)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461 + -438. Solve 0 = -5*z - 33 + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/14373, -48?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 8) in base 13?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ac5179 (base 15) to base 4\nAnswer: 133112131200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4753958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 13, 39, 85, 157, 261, 403, 589?\n\"Answer: w**3 + w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093996?\nAnswer: 2, 3, 89, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*c + c**2 - 3 + 7)*(15 + 11*c - 15) to the form f*c**2 + l*c + j*c**3 + n and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5462 + 11214 = -593*c - 9666 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13134342 (base 5) to base 11.\nAnswer: 8a135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*t + 336*t = -5191 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*a + 21, 82*j = 80*j + 78*a - 14 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aat when three letters picked without replacement from {s: 8, t: 5, a: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y + 6. Let i(z) = -6*z. Let g be i(-1). Determine m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6555 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - 130\/(-52)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671269 - 439?\nAnswer: 670830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 18 = 5*v, 5*g - 70 = 4*v - 365 + 118 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 20*s = 0. Let v(d) be the third derivative of -1\/240*d**6 + 0*d**4 + 2*d**2 + 0 + s*d**5 + 0*d + 0*d**3. Find f such that v(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -126. Let s = p - -26. Let d = -33.0000027 - s. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 + q - 1. Let y = -57 + 147. Suppose 4*p + y = -p. Let i = -17 - p. Calculate h(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25041038 by -3.\nAnswer: 25041038\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 481135 + -3444247\nAnswer: -2963112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - 50\/(-15). Let h(t) = -t**2 + 7*t - 4. What is the units digit of h(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 1, -13, 3 in descending order.\nAnswer: 3, 1, -4, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 2*f**3 + f - 2*f**3 - f**3 + 2*f**3 + (-4*f + 0*f + f)*(2*f**2 + 2*f**2 - 3*f**2).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -275560.37.\nAnswer: -1102241.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*h = -40 - 5, -z = h - 21. Let i = -16 + 38. Calculate the lowest common multiple of z and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = 482 - 320 + 1542 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 22. Let k be (-1)\/(-3)*-13 - r. Is k less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j - 2. Let t(w) = -w**3 - 4*w**2 - 3*w - 3. Let b be t(-2). Let g(z) = -z**3 - 5*z**2 - 4. Let y be g(b). Determine x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = -12. Suppose -p*q = -q - 18. What is the smallest common multiple of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86850013*y**6 + 299796739*y**2?\nAnswer: 10422001560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -0.3 (c) -6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k + 6. Suppose -5*b = 5*g - 30, g - 51 = -5*b - 17. Let w = b + 10. What is the remainder when w is divided by o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.13, -1.5, 0, -0.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286867 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -4. Let i = 1 + t. Suppose i*d - 17 = 7. Calculate the highest common factor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 3 - 5*z**2 - 56*z + 55*z in the form v*z**2 + k*z + x and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 - 24*k + 45\/2.\nAnswer: 3*(k - 15)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k - 23 + 293 = 81*k. Suppose -u = 2*l - 14, l - 2 = 2. Calculate the smallest common multiple of u and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u. Let b(j) = -j**2 + 2. Let l be b(u). Suppose -4*c + 18 = m + m, -l*m + 25 = -3*c. Calculate the smallest common multiple of 2 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -3.7095. Round i to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 256*h + 18, -3*p + 27 = 132*h - 130*h for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4 - 20. Let t be v\/4*(-10)\/3. Solve 4*m + t*n = 40, n + 8 = 4*m - 2*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.56 to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + j = 0, 228*p - 226*p + 4*j - 18 = 0. Put p, -4, 6, 4, 5 in decreasing order.\nAnswer: 6, 5, 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 272*h - 263*h - 90. Calculate the smallest common multiple of h and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/144631120 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 + 2 - (10 + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 6, g: 1, o: 6, s: 3, r: 2}. Give prob of sequence ovrj.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66.76 (b) -1\/4 (c) -0.16 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -11\/2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-335))\/(11\/649). Let t = z + -15103\/3350. Let j = t - -12\/25. Sort -1\/4, 5, j in descending order.\nAnswer: 5, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.980587 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -1.5. Let d = -1.5 - u. Let j = 55.3 + -54.3. Sort j, 0.08, d in ascending order.\nAnswer: d, 0.08, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = 5*t, 2*y - 2*t = 14. Suppose -5*d + y*c - c = -135, -3*c = -d + 40. Calculate the greatest common factor of 75 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 + 3*g**2 - 40 + (4 - 3 + 9)*(5*g**2 + 0*g - 6*g**2 - 2 - 2*g) - g**2 - g + g + (g + 0*g + g)*(-2*g + 4*g - 3*g).\nAnswer: -10*g**2 - 20*g - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/783 and -37\/2349.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 2. Let o be r(-3). Calculate the highest common factor of 32 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-112)*-12)\/(70\/40)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Suppose 0 = 4*m - o*m + 1. Let l be (-3)\/(5\/8 + m). Is 8 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/57860 and -51\/106252?\nAnswer: 5843860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 169 = 20 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 13. Let j be w(-14). Suppose -2*r - 3*r = 10. What is the units digit of (j - 1) + (-22)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 3*j + 0*j)*(0 - 3*j + 0) + (-11 - 8*j + 11)*(28 - 123 + 55)*(0*j + 4*j - 3*j) to f*j**2 + u + d*j and give f.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 10 + -1 - 8) + 5 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuaauaaaauuaauaau.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/111488 and 9\/2.\nAnswer: 111488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 12252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103.0633 times 8.7\nAnswer: 896.65071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15963.25 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let q be o(-3). Suppose q*a + 214 = 2*d, -a - 5*d = -3*d + 51. Let c = 74 + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112089434519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2 + 5*v - 5*v)*(-v**3 - v**4 + v**3).\nAnswer: -2*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 353454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 25, 54, 89, 130, 177?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001008*b = -1001007*b - 8*z - 80, -2*z - 20 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 6073136?\nAnswer: 6073132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 861598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -19*u. Let r(t) be the third derivative of t**5\/5 + 8*t**2 + t. Give r(c(o)).\nAnswer: 4332*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19415 + -11333. Suppose 4*z - y - 422 = h, 2*z + 33998 = -4*h. What is h rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315849*b + 315847*b - 631705*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 - 9*u - 14 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22 - 31\/(-11). Let q = 13.3 + -0.3. Let o = q + -8. Which is the third biggest value? (a) o (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 - 4*o + 7. Let h be y(-5). Suppose -3*d = -h*t + 24 - 7, 4*d + 12 = 0. Suppose -2*p - t*p = -1722. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16996514, 16996518, 16996524, 16996532, 16996542, 16996554?\nAnswer: 16996568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.69401 grams in milligrams?\nAnswer: 87694.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 7 (c) 1 (d) 5 (e) -0.1 (f) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3422.4101222 and 79.\nAnswer: -3343.4101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 13 + (-15 - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2 - 4*b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 28*j**2 - 23*j - 105. Give v(-27).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18353, 17284, 15489, 12968?\nAnswer: 9721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) + 483740\/220. Let q(s) = p + 2*s - 2199. Let c(t) = -51*t. Determine q(c(i)).\nAnswer: -102*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/70)\/(12060\/5628)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 25. Let d = v - -17. What is the smallest value in d, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1330 and 7600.\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*a = -4, 2589*a = 4*n + 2588*a + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 22. Solve 0 = g + 2 - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.14 (b) -0.3 (c) 1\/2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, w: 3}. What is prob of picking 2 h and 1 w?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 - 18 + 76)*(-43*v + 5*v + 13*v) + 1 - 1 - v + (-6*v + v + 4*v)*(-2 + 0 + 4).\nAnswer: 2022*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:20 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-225000)\/27)\/(1 + (-28)\/30). Round k to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:13 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/39 (b) 3\/5 (c) 4366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 124 = -5*v, 4*x - 8*x - 56 = -2*v. What is the lowest common multiple of v and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284 + 622. Suppose 6*c + 7*c - n = 0. Are 26 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56322.072 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 39, 11, -27, -75?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782 times 0.4?\nAnswer: 712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1233?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*n = 41, -2*v - 24 = 4*n + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/1)\/((-17 - (-333)\/18)*(-42)\/(-567))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/15 - s**4\/8 + 147*s**2. Calculate a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 3\/4 (b) 1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 92. Let u(g) = g + 34. Let y(n) = -8*u(n) + 3*w(n). What is y(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5 + 1. Which is the closest to -2\/3? (a) -0.5 (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 34\/41, 49, -0.04, 2\/5?\nAnswer: 34\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.029 and -162874101.\nAnswer: -162874100.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128567 - -128568.25427. What is m rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258475 and 124279.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590 and 233522?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Solve 5*i - 4*j - 5 = r, 3*i - 9 = 3*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 198 + 446 = 0. Let w = 1001 - s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 + n - 1. Let s be j(4). Let t = s + 317\/11. Which is the nearest to 2\/5? (a) -2 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -43, 0, 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -1\/20*n**4 + 6 - 4*n - 1\/6*n**3 + 1\/5*n**2. Let b(q) be the first derivative of u(q). Factor b(g).\nAnswer: -(g + 2)*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.07 (c) -1 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13148897 - -0.59.\nAnswer: 13148897.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 2926*i.\nAnswer: -2*i*(i + 1463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:57 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 87*n**3 + 3*n**2 + 8*n + 6. Let t(u) = -260*u**3 - 8*u**2 - 22*u - 18. Let k(q) = 11*h(q) + 4*t(q). What is the third derivative of k(b) wrt b?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21030 is divided by 6980?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5600 and 224000?\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-11\/2)*k))\/(k*k**19))\/(k**(-23)*k\/((k\/(k\/(k*k*(k\/(k**13*k))\/k)))\/k)) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15866 is divided by 349?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 151238952 to the power of 1\/2, to the nearest integer?\nAnswer: 12298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3013794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 10. Let w be b(4). Suppose -w*j - 3*j - 5*q - 15 = 0, 4*j = -5*q - 9. Let r be -1*(-30)\/(j\/(-2)). Solve d - 2*t + r = 2*t, -d + 8 = 2*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 103*l - 363 + 133 = 0, -12 + 7 = -u - 4*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/172953 and 8\/557293?\nAnswer: 5015637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/28 in -0.4, -3\/20, 2\/321, 2\/7?\nAnswer: 2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.2, -0.3, -0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10342 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 84*j**2 - 191*j + 26. What is the first derivative of k(w) wrt w?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22046 + 22481. Calculate the remainder when d is divided by 65.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560520387 - 560520387 + 16*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -89*j + 170. Let p be d(5). Let a = 278 + p. Let b(f) = -f**2 + 1. Calculate b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + ((-469)\/(-98) - (-3)\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1512*g = -1513*g + 9. Suppose -3*f + 42 = 2*p, f - p + 0*p = 9. Suppose -3*a + 5*a = f. Calculate the lowest common multiple of a and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 562785.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5685.39718563 - 7.\nAnswer: -5692.39718563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7740)\/(-48) - (-3)\/4. Suppose -o = -d + m, 0*d + 3*m = -3*d + 498. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/3 + 25*v + 2. Let z be 240\/300 + (-8)\/10. What is the tens digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(70\/8))\/((-66)\/(-77)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2281*c - 312480. Calculate l(137).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**2\/2 - 52*d - 3. Let t(z) = -3*z**2 - 18. Determine 18*n(c) + t(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700375745 to the nearest integer?\nAnswer: 26465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 119 = -6*r, 7*p - 2*r = 3*p + 58 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3814488815 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-76)\/(-8) + -5)*4\/6. Suppose 146 = f*v + x, 26*v + 22 = 27*v - 5*x. Which is bigger: v or 43?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Let w = -4 + d. Let p(h) = -h**3 - 2*h**2 + 4*h - 1. Let v be p(-3). Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4384 - 4384. Solve 5*n + 4*t = y, 1 + 4 = -t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203221 - 30?\nAnswer: 203151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*h**2 + 169744\/9 - 1648\/9*h.\nAnswer: 4*(h - 206)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -21528, -5 in ascending order.\nAnswer: -21528, -174, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6344.041 minutes to microseconds.\nAnswer: 380642460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o**3 + 3*o**2 + 12*o + 3. Let u(q) = -22*q**3 - 5*q**2 - 24*q - 5. Let m(g) = -5*c(g) - 3*u(g). Find the second derivative of m(y) wrt y.\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 320849 + 320899 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -62880, 2, 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137285 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 30, 37, 46, 57, 70, 85?\n\"Answer: a**2 + 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Suppose -10 = -p*k - 2. Suppose -5*f - 2*f = -70. Calculate the greatest common factor of k and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6768462 - 1.6.\nAnswer: -2.2768462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 109 - 13 = 0. Let f(i) = -6*i**2 + 3*i + 8. Let s(z) = -17*z**2 + 8*z + 23. Let c(t) = 8*f(t) - 3*s(t). List the prime factors of c(u).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857439 is divided by 1840.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*l - 36, -5*l - 41 = 5*y + 14. Let t(h) = h**2 + 6*h - 5. Let d be t(y). Suppose -z - 1 = -d. Solve -2*x + m + m = -10, -2*x - 2*m = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 0*q**3 - q**2 - q**2)*(31 - 30 + 34)*(-3*q - 2*q + 3*q).\nAnswer: 70*q**4 + 140*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8946374363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29 - v**3 + 2*v + 30 + 0*v. Let j(o) = -o**2 + 10*o - 7. Calculate the remainder when j(9) is divided by c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -5. Let u(a) = -6*a + 40. Let j be u(10). Is d\/j + (-24)\/(-10) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*n + 10 + 3, 3 = n. Suppose 40*d = 49*d. Put k, 5, d in decreasing order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = p - 8 + 32, 0 = -5*f - 3*p + 49. Let o = f + 38. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 250\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*w + w - z, 4*w + 2*z - 16 = 0. Suppose 0 = q - w*q + 3*m + 6, 20 = 4*q - 4*m. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -1\/4 (c) -1\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*q = -26, 19 = -47*i + 46*i + 5*q. Let k(o) = 13*o**2 + 4*o + 4. Let b(t) = 25*t**2 + 9*t + 9. Give i*k(a) + 4*b(a).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181653999 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h + 32. Let r be (2\/(-4))\/(h\/(-30)). Is (-3)\/r*(30 + 11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-10.4\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1059, -4146, -9267, -16416, -25587?\nAnswer: -36774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8092 and -19\/2402168.\nAnswer: 16815176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/12895 and -11\/4?\nAnswer: 51580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x - 3052*x**2 + 6102*x**2 - 3049*x**2.\nAnswer: x**2 - 44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9892 - 161*c - 45*c + 9892 in the form m + b*c and give b.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -545.\nAnswer: 11\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374538 and 8.\nAnswer: 1498152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, 1095, 1872, 2811, 3918, 5199, 6660?\nAnswer: 8307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 times -221409?\nAnswer: -394772247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -3 + 9\/20*t**5 + 11\/12*t**4 + 10*t**2 - 1\/6*t**3 + 29*t. What is the second derivative of a(b) wrt b?\nAnswer: 54*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/6 - 2\/(-3). Let w(n) be the second derivative of n**5\/20 + n**4\/3 - 5*n**3\/6 + n**2\/2 + n. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/4)\/(13\/(91\/(-14))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -994461 (base 11) to base 10.\nAnswer: -1587103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 820.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l**3 + 9*l**2 + 9*l - 9. Let f = -451 + 442. Let b(h) = 9*h**3 - 5*h**2 - 5*h + 5. Give f*b(p) - 5*m(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 3. Let x(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + 11*s**2\/2 - 10*s - 9. Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 7. Let d be t(-16). Let k = 59 - d. Suppose -3*g = 2*g + s - 2331, -3*g + 1396 = -k*s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6 = s, 3*s - s + 2 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3534 + 3534. Is 0.03758 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzpp when four letters picked without replacement from zzzpmzbmppcppmpcb.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from tggggggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 671*q + 132*q to the form d*q + a and give d.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016909950 to the power of 1\/2, to the nearest integer?\nAnswer: 44910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 y, and 1 t when four letters picked without replacement from {t: 1, k: 2, m: 1, n: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -4*k. Calculate the remainder when 3 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -657\/1700 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.033746km in centimeters?\nAnswer: 803374.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**3 - 4*a - 43. Let x(z) = -24*z**3 + 9*z + 88. Calculate -5*o(r) - 2*x(r).\nAnswer: -2*r**3 + 2*r + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + (-47)\/(-2). What are the prime factors of 1*(-1 + j) - 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.99695 and -14223.8.\nAnswer: -14224.79695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14155 + -243?\nAnswer: 13512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 9*k - 30. Calculate the remainder when 19 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(98) + -2 - sqrt(98)) + sqrt(98) + -3*(sqrt(98) - sqrt(98)*-1) + sqrt(98))**2 - ((5 + sqrt(98)*-3 + -5)*6)**2.\nAnswer: -23892 + 560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**6\/42 - 89*h**5\/35 + 461*h**4\/28 - 839*h**3\/21 + 328*h**2\/7 - 188*h\/7 + 2473. Suppose m(o) = 0. What is o?\nAnswer: -94, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 78 = -2*b, 0*o + 4*b = -2*o + 64. Suppose -21*g = -32*g + o. Suppose -5*s = 10 + 25. Put g, 4, s in ascending order.\nAnswer: s, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:57 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 26*u + 807. Let g be o(52). Is g > -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from cccnnccncfnnnfn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.28 - 16. Let t = 11 - 11.8. Let v = x - t. Round v to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3730459 to the power of 1\/2, to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4972 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110100010000 (base 2) to base 11\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 168*i**3 - 172*i**3 - i - 11)*(i - i - i).\nAnswer: 4*i**4 + i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 241a4b3 - -5?\nAnswer: 241a4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3825 and 7\/2550?\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46681\/3 + ((-11)\/33 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = -3*x, -2*p + 9 = -x + 3*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37469, -35387, -33305, -31223?\n\"Answer: 2082*f - 39551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/1 - (-20678)\/49. What is the greatest common divisor of s and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 11*q**2 - q + 20. Let i = 4 + 7. Let r be c(i). What is r rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - (-10)\/6. Suppose 5*y = -328 + 78. Let j be k\/5 + 10\/y. What is the third biggest value in j, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78508102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:41 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Suppose -232*w + 235*w = -9. Let d(t) = 0*t + 0*t - 2*t. Determine w*o(i) - 7*d(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 516*z + 16201. What is b(-30)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/15 + 2*r + 1292\/15 = 0.\nAnswer: -19, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4043448 and 4043448?\nAnswer: 4043448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -5, 727?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + -31134?\nAnswer: -30660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*x. Let c(f) be the second derivative of f**4\/12 - f**3\/2 + f**2 + 8*f. Calculate c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18366 is divided by 118?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:13 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1)*28\/112?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065002161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -11 (c) 0 (d) -4557 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c + 4. Suppose -1537 = -14*d - 19*d - 20*d. Let h(x) = 174*x - 29. Calculate d*i(p) + 4*h(p).\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2. Let g(f) = 68*f. Let b be -28*(1 - 5*3\/10). Let k(r) = -14*r. Let a(u) = b*k(u) + 3*g(u). Calculate a(p(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5778 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*f - 560 = -582*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 3*n. Let b(p) be the second derivative of p**4\/2 + p**3\/2 + 14*p. Let d(r) = 2*b(r) + 3*m(r). Let d(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g**5\/9 + 26*g**4\/9 - 5*g**3\/3 - 28*g**2\/9 + 20*g\/9 = 0.\nAnswer: -1, 0, 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 2, g: 1, w: 4, h: 1, c: 2}. Give prob of picking 2 f, 1 h, and 1 c.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1882 divided by 1882?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**8\/56 - 107*n**7\/42 + n**6\/10 + 209*n**4\/12 + n**3\/2 - 5*n**2\/2 - 4087*n. What is the third derivative of l(b) wrt b?\nAnswer: -120*b**3 - 6420*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -411, -625, -855, -1107?\nAnswer: -1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*o - 2\/7*o**2 + 8\/7.\nAnswer: -2*(o - 1)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/17)\/m))**(1\/30)\/(m**(-14))**50 assuming m is positive.\nAnswer: m**(178516\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/120 - y**4\/12 + y**3\/2 - 3*y**2 - 2. Let i be t(0). Factor 4\/3 - 4\/3*g**2 + 2\/3*g - 2\/3*g**i.\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + 59 - 389. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 15) in base 12?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 2*g - 9. Let l be y(9). Suppose 2*h - l = -h. Suppose -84 = -5*i + 2*i. Calculate the remainder when h is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-5))\/((-2)\/10). Let p = c + 8. Is (-1)\/3 - 11544\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 100*n - 19. Let i(g) = 200*g - 40. Determine 3*i(k) - 7*s(k).\nAnswer: -100*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224647 and 554.\nAnswer: 449294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -5. What are the prime factors of 3 - -74*m\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-46 - -20) + 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 15*k - 52. Let m be v(19). Solve -b = -1, -2*n - 4*b + m = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1614 - 59698\/37. Let a = 494\/777 - d. What is the second biggest value in 2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 - 1.57. Let p = -0.03 + h. Let x = p + 10. Which is bigger: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*d**5 - 4*d**5 + 148*d**5)*(1 - 3 + 0).\nAnswer: -154*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let r(m) = 29*m**2 - 31*m**2 + 9*m - 9*m. Determine r(i(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858164.\nAnswer: 2, 214541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -273, -1076, -2415, -4290, -6701, -9648?\n\"Answer: -268*m**2 + m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 2*d + 5*d + 4 + 14 to the form y*d + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + 0 + sqrt(117) + 0 + sqrt(117) + 4 - (5 + (sqrt(117) + 1)**2 + 0).\nAnswer: -124 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 5. Let z(q) = -16*q + 4*q + 10*q. Calculate z(p(f)).\nAnswer: -14*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by ((-72)\/16)\/((-2)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 2819 - 2819 - 30*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.01, 419, -7, -3?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12548 (b) 1 (c) 4\/7 (d) -2\/15 (e) 5 (f) 4 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 88314.2?\nAnswer: 88314.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 212*o + 3. Let s(y) = -637*y - 9. Give 13*n(t) + 4*s(t).\nAnswer: 208*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -471 or -2348\/5?\nAnswer: -2348\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3.91 (b) 0 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019457 is divided by 1351.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 + 282. Let w = o + 25.66. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2. Let b(q) be the first derivative of 25*q**2\/2 + 76. What is b(k(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(2*sqrt(91) + sqrt(91))*6)\/((sqrt(14)\/(sqrt(2) + sqrt(2)*1) + sqrt(7))*3))*-6.\nAnswer: -120*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-48)\/9*(-54)\/(-108).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3432 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2218*u + 2229*u - 17 - 5. Factor -98\/5 - 2\/5*b**4 - 224\/5*b - 32\/5*b**3 - 156\/5*b**u.\nAnswer: -2*(b + 1)**2*(b + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68326 is divided by 22774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-55))\/(42\/84).\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 12:04 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4923 and 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23848 - 3*a + 2*a + 3547.\nAnswer: -a - 20301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 4) in base 15?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1400 divided by 56\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1078\/(-66)*96\/(-840)*15\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 157 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-279)\/(-27) + -9)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -203*w**6\/3 - 193*w**3\/3 - 253. What is the third derivative of k(h) wrt h?\nAnswer: -24360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 694, 1064, 1432, 1798?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkpkkkskpnnnnks.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7867.\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176952 or 51?\nAnswer: 176952","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18517*u = 18511*u + 978. Calculate the remainder when 525 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o + 2203. Let p be 4 + -5 + 1\/1. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*f**4*m - 39*f**4 + 2*f**3*m - 105*f**3 + 976642*f**2*m wrt f.\nAnswer: 432*f*m - 936*f + 12*m - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -40*m + 385. Calculate the remainder when 76 - (1 + -3)\/2 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 5. Let g(y) = y + 3. Let h(x) = 5*g(x) + 3*u(x). Let w(n) be the third derivative of -n**4\/12 + n**2. Give h(w(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*x**2 - 812*x**2 + 2024*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*a - 16, -33*v + 44*v - a = -2*a - 48 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 69.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 1128 = 18*l. Let y = 191 - l. What is the smallest common multiple of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -3*r + 290. List the prime factors of r.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 + 8*y**2\/3 + 11*y\/3 - 6.\nAnswer: -(y - 9)*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 5}. Give prob of sequence khh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*q + 156*q + 44 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {m: 1, l: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24651.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2\/7, 3, -1 in descending order.\nAnswer: 4, 3, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7581*i**4 + 19*i - 61 wrt i?\nAnswer: -90972*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51546 (base 13) to base 6.\nAnswer: -3043253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*u - 90, -4*u = 9 - 13. Calculate the greatest common divisor of i and 3431.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -118, -138, -178, -244, -342, -478, -658?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, k: 2, m: 3}. What is prob of sequence ve?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057173961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 1. Suppose -4*h - 5*p = 8, p + 2 = h - 5. Let f(m) = -3 + 0 + 0*m**2 - 6*m**2 - 5*m + 5. What is h*g(r) + f(r)?\nAnswer: -3*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*k - 2*k - 16, 0 = -5*g - k + 5. Suppose 7*w - g*w - 10 = 0. Calculate the least common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/15)\/(4\/(-20)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k**3 + 117*k**2 + 463*k - 3479. Give b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by 382.\nAnswer: -89\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 22*k = -34. Calculate the greatest common factor of 85 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 13 - (274 + -280)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-4)\/((-22)\/88). Suppose 0 = -5*y + p + 4. Sort 0, -3, y in ascending order.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, -3, -0.19, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 40 + 0*y**5 - 23\/15*y**6 - y + 0*y**2 + 9*y**3 + 0*y**4. Find the second derivative of j(z) wrt z.\nAnswer: -552*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/53 (b) 4.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3759 divided by -1.\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 901 + -899. Let j = -24 + 35. Solve -c*h = -j + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 134, 0.3, 11, -3, 3\/5.\nAnswer: -3, 0.3, 3\/5, 11, 42, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11614 + 29553. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from oaeiaemaaaoa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94895*l + 94893*l - 5*c = -19, 5*l + 2*c - 16 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209068 is divided by 38955?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 572. Determine s(56).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 91. Let v = 70 - s. Suppose -n + v - 9 = 0. Find the common denominator of -83\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 3, n: 1, u: 4}. What is prob of picking 2 s and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = 121816 - 121796 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 6*g - 15 + 3*g + 12 to d + c*g + b*g**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2709679, 5419359, 8129039, 10838719?\nAnswer: 13548399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43637886 >= 43637904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 4. Let z = f + 9. Suppose -s = -z*s + 64. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8035\/(-2679) - 42\/(-14). Let y = -163451\/42864 + x. Calculate the common denominator of 37\/8 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s + 3*s - 5*v, -2*v = 3*s - 23. Suppose 2*y = s*y - 447. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3517*l**5 - 51493*l**3 + 649*l**2 + l - 77782.\nAnswer: 211020*l**2 - 308958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*q, 0 = -2*q - 3*x + 5*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/(d\/((d\/d**6)\/d))))*d*d*d\/(d**(1\/8)*d))**(-47\/2) assuming d is positive.\nAnswer: d**(1927\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18\/11, -263, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let p = -4.4 - -4. Let d = 0.8 + 0.2. Which is the nearest to d? (a) p (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + (sqrt(5)*1)**2 + sqrt(5)) - (1 + (sqrt(5) - (sqrt(20)\/sqrt(4) + sqrt(5))**2)).\nAnswer: -11*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-2) + -1 + -1. Let h(j) = 6*j - 8. Let f(c) = 5*c - 8. Let k = 186 - 191. Let b(r) = d*h(r) + k*f(r). Differentiate b(t) with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300236 divided by 3194\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 - 56917*p - 227787. What is m(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 74 + 94 = 0. Suppose -4*o = -2*q - 408, o = r*q - 3*q + 108. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -562, -1872, -4426, -8638?\nAnswer: -14922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from xxxatxaxxxtaaa.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 21*v**2 - 8*v + 11. What is p(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 7*r**2 + 3*r + 6. Let g be i(-6). Is (-3)\/(g\/10)*-164 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = -2. What is the remainder when 80 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152413 and 490109?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-17 - 202\/(-12)) + -47.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - c20?\nAnswer: -c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 12 = 3*a - 3, 5*a - 13 = -b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -18. Which is smaller: n or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11303 is divided by 4275.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -846 - -1071. Calculate the highest common divisor of d and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 5324.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26d + 1?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-6)*t)\/t)\/t)\/(((t**(3\/5)*t*t)\/t)\/t))**(-1\/40)*t**(2\/9)*t\/t**(-5)*(t**(2\/3)\/t)**(6\/19) assuming t is positive.\nAnswer: t**(214843\/34200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0717291 and 1.846.\nAnswer: 1.7742709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 185, 251, 319, 389, 461, 535?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 3*b**2 + 2*b - 3. Let c be k(2). Suppose c - 68 = -o. Suppose -2*p + o = 3*p. Calculate the least common multiple of p and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in centuries?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 - i + 77. What is the remainder when k(0) is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -5133 (c) 4\/3 (d) 106 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, h: 1, g: 1}. Give prob of picking 1 g, 1 h, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 5)*(f + f - 6*f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 242*f**2 + 33*f + 118. Calculate the smallest common multiple of 26 and d(-3).\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y + 72. Let w be a(9). Suppose w = -11*v + 10*v + 3. Solve 1 + v = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 - 3*z**2 + 6*z**2)*(-1 - 1 + 1) - 41*z**2 - 26*z**2 - 5*z**2 in the form a*z + g*z**2 + v and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218308 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4\/7, -22 in descending order.\nAnswer: -4\/7, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 18. Let g be n(0). What is the smallest value in g, 2, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14150162, -14150167, -14150172, -14150177, -14150182?\nAnswer: -14150187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 119*w**3 + 181*w**2 + 1041*w + 1379. Let h(z) = -25*z**3 - 36*z**2 - 208*z - 276. Let x(q) = -19*h(q) - 4*m(q). Factor x(n).\nAnswer: -(n + 2)*(n + 4)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 2. Let y(s) = s**3 - 9*s**2 + 10*s + 10. List the prime factors of y(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4908930.\nAnswer: -44180370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156679720 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 673, -9619, -19909, -30197, -40483, -50767, -61049?\n\"Answer: r**2 - 10295*r + 10967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.1. Suppose 0 = 4*z - 2*x, x = -4*z - 2*x. Let h = 28.42 - 28.82. Which is the third smallest value? (a) z (b) -5 (c) h (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 4, r: 4, k: 8, g: 2}. Give prob of picking 1 g and 1 q.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 5*l - 31 = 12*f, -8*l = 4*f - 60 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/54 and -139\/8748?\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 67*v**2 - 401*v - 26867. Let h be a(-67). Find z, given that 56\/13*z**2 - 2\/13*z**5 + 24\/13*z**3 - 2\/13*z**4 + h + 32\/13*z = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21783.3192 to the nearest ten.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from akqwo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 2*w**7\/7 - w**6\/2 + 3*w**5\/20 + 18*w. Let g(j) = 0. What is j?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29585*1.6709\nAnswer: 49433.5765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*t + 24901 - 9877 = -33607 - 32011 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 6. Let m be d(-5). Suppose m*c = 5*w - 16 - 107, 3*w = c + 29. Is -2 - -4 - (c - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {i: 1, q: 2, u: 2, c: 3, w: 2, s: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 - 4*b**2)*(-372*b + 124*b - 312*b) - 7*b**3 + 14*b**3 + 3*b**3.\nAnswer: -550*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 13. What is y(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 > 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112445 + -112444.99948599. What is i rounded to 5 decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.296327*-0.5\nAnswer: -0.1481635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.44 + -0.06. What is the closest to -0.1 in q, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 - 13*m**3 + 7*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + -5 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0.3, 35311, 2 in descending order.\nAnswer: 35311, 2, 0.3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 1458 - 5845 + 1465 + 1456 + 1466.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(-3)\/(-9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 3*q**2 + q + (-2 - q + 2)*(-408 + 30*q + 408)*(-1 - 3 + 3)*(-2 + 1 + 2) in the form w + v*q**2 + k*q and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130 * 2701\nAnswer: -351130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t + 2*t)*(2 + 1 - 6) + t - 3*t + 0*t + 70*t + 18*t - 18*t + (2 + 2 - 6)*(-2*t + 2*t - t) as v + p*t and give p.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3464 is divided by 690?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - -10a77?\nAnswer: 10aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694318 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 5*w - 4*o = 2*w - 14, -3*o + 18 = -3*w. Let x = w - -17. Calculate the smallest common multiple of x and ((-44)\/4)\/(2\/(-2)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-14))\/(24\/84)*-397. Which is bigger: q or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4 - 17592*c**3 - 123372*c**2 + 140960*c = 0?\nAnswer: -8, 0, 1, 4405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 31) + (44 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -25 + -20 + 9 + 36. Let h(b) = -b - 2. Calculate h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/19)\/(w\/w**(1\/16)*w) assuming w is positive.\nAnswer: w**(-557\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1964 - 2029 - (-100 + 1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c + 1222. Calculate z(80).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 6) + 2 + 15. Suppose 0 = -12*c + k*c - 8. Suppose 4*f = 5*o - 413, c*o + 2*f - 150 - 8 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z**2\/7 - 2*z - 1\/7 = 0.\nAnswer: -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/((-1)\/(-6)). Let x(c) = -c**3 - 11*c**2 + c + 12. Let d be x(-11). Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -8304432?\nAnswer: -8304458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x - 2*x)*(0*x + 5*x + x)*(2*x**2 - 4*x**2 + 0*x**2).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -27. Let o be 6\/n + (-17)\/(-3). Put -2, 2, o in descending order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 3 (c) 0 (d) -26\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/(t**(-3\/7)*t*t))))\/t**(-11))\/((t*t*t*t**(-6\/7))\/t*t**1) assuming t is positive.\nAnswer: t**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let f(m) = 0 + 0 + m. Let c(y) = -86124 + 2*y + 43054 + 43070. Let o(x) = 3*c(x) - 7*f(x). Determine o(u(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 338*n**3\/3 - 168047906*n**2\/3 + 361948160*n\/3 - 64964984 = 0.\nAnswer: 14\/13, 497181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*s**3*t*x**2 + 3*s**2*t*x - s**2*x - 3*t*x**2 + 10*x**2 wrt s?\nAnswer: -1020*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74, 63, 44, 17, -18, -61, -112?\n\"Answer: -4*s**2 + s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(-75*14\/735)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*p**5 + 3*p**3*s**2 - 2*p**2*s**2 + 137*p*s - 2*s**2 wrt p?\nAnswer: -6480*p**2 + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13808 - 13801. Solve 18*a = -g*a - 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 5. Suppose 2*s - 16 = -2. Let h = s - 11. Calculate the smallest common multiple of r(h) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and -0.06.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -20. Let i be (0 + 2 - h) + 2. Let f = -1963\/7 + 280. Put i, -2\/3, f in descending order.\nAnswer: i, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418163507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 37\nAnswer: 56\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-119)\/4)*7\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -42. Suppose 4*r + 5*c - 10 = 7*c, 0 = o*r - 4*c. Suppose 3*k - 1045 = -5*n - 2*k, -2*n + 422 = r*k. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (sqrt(128) + 2 + sqrt(2) - sqrt(22)\/(sqrt(176) + sqrt(11))) + 3*-2*sqrt(72)*-3))**2.\nAnswer: 5840*sqrt(2) + 682137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*f + 5448 - 2144 = -8136 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t. Let r(v) be the second derivative of -v**7\/180 + 11*v**4 - 140*v. Let g(w) be the third derivative of r(w). Determine g(x(n)).\nAnswer: -686*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/(-18) + 2\/12 - -3. Solve l - 2 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81441?\nAnswer: 3, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -386678.\nAnswer: 386678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10500040 + 13440009 = -7*t. Let m be 5 + 8 + (t - 6). Round m to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1064288.35 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 632 = -12*r + 40 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 6) in base 8?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, m: 2, h: 1, c: 3, g: 4}. Give prob of sequence gc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -3*s. Let y(g) = 11*g + 2. Let p(f) = -1. Let i(l) = p(l) - y(l). Is 14 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28873*b**3 + 4*b**2 + 28877*b**3 + 2*b**4 - 57751*b**3 + 1 - 318*b**2 in the form g*b**3 + h*b + m + j*b**4 + f*b**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3732)\/(-1555)*10\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) -5\/3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5326, 10744, 16162, 21580, 26998, 32416?\n\"Answer: 5418*z - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270398918 and 4886?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3750 (b) 2\/9 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 - 5*v + 4. Let z be a(1). Calculate the remainder when 33 is divided by (27\/36)\/(z\/(-40)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11))**(-12)*(m\/(m*m**(-10)))\/(m\/(m*m**(-2\/13))) assuming m is positive.\nAnswer: m**(1720\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 19. What is the remainder when 62 is divided by 21 + (0\/2)\/x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9142686 is divided by 36137.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 9:28 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4260\/(-1278))\/(31570\/66).\nAnswer: -2\/287","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1509\/11 - 137. Suppose -10 = 6*g - g. Let q be g*(-2)\/((-4)\/3). Which is the second biggest value? (a) p (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*g - 2)*(-2*g - 1 + 1) + 3*g**2 + 409*g + 2 + 14*g**2 - 408*g as u*g**2 + q + h*g and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109\/38 in -1, -0.3, 8, -0.02, -1\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21220 - 100202010?\nAnswer: -100110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -46036*t + 1625. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, a: 12}. What is prob of picking 2 a and 2 y?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose 2*z = g + 2. Suppose 0 = -3*j - z*j. Let n(x) = x - 2. What is n(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -33. Let k = 54 + u. Suppose -5*t = 5*r - 11 - k, 3*r - 6 = 3*t. Solve -r*d = 1 - 26, 0 = 4*m - 3*d + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637512 to the power of 1\/2, to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) 2 (c) 0.06 (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 140*p + 819. Give t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109362 + 1442*l - 109362)*(3 - 3 + 2*l) to q*l**2 + g + h*l and give q.\nAnswer: 2884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2479 - 18513 - 4309. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2228*-9.\nAnswer: -20052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*z + 11 = -4*z, -10 = 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -200220320103 (base 4) in base 16?\nAnswer: -828e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3472 divided by 4\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 850\/24 - (-4)\/12. Let n = v + -36. Which is the nearest to 1? (a) n (b) -2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:09 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -111. Put -2\/3, -1\/2, n in descending order.\nAnswer: -1\/2, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 47560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48293028*o**4 - 39687714?\nAnswer: 193172112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -561130 to the nearest one thousand.\nAnswer: -561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39347920 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017632395 rounded to 6 dps?\nAnswer: 0.001763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16544774 divided by -34?\nAnswer: 486611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j**2 + 0*j**2 + 2*j + 6*j**2. Let g be k(-2). Let m(c) = -11*c + 92. Let r be m(8). Sort g, r, -3 in descending order.\nAnswer: r, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*k - 26, 5*w + 5405 = -k + 5385 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 71?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 835*f**2. Let q(s) = s. What is p(q(t))?\nAnswer: 835*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-5)\/((-15)\/6). Suppose 2*b = v*n + 6*b - 699992, -4*n + 3*b = -1400006. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 158 = 162. Let m(c) = -37*c**3 - 2*c**2 - c + 2. Determine m(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {d: 4, c: 9, b: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)\/(z*(z\/(z\/(z\/(z**(-6\/13)*z))))\/z) assuming z is positive.\nAnswer: z**(-214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 9. Let j(l) = 7*l + 18. Let n(q) = 2*j(q) + 5*y(q). Let z be n(6). Let f = z + 3. Is f != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5 + 2*a**4*m + 5*a**4 - 5*a**2*m + 13*m wrt a.\nAnswer: 600*a**2 + 48*a*m + 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -h - 24, 5*d - 4*h = 36. Calculate the remainder when 15 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/118 and -33?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8195?\nAnswer: 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6260 and -113\/3756.\nAnswer: 18780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 113010*m**2 - 113031*m - 678078.\nAnswer: 3*(m - 3)*(m + 2)*(m + 37671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45))\/((-66)\/(-605)*((-143)\/99 - -2)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - 0.4. Let m = -0.7 + -0.3. Which is the second smallest value? (a) -1\/2 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5 - 792*x**4 + 777*x**3 + 3168*x**2 - 3156*x = 0.\nAnswer: -2, 0, 1, 2, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 429*k + 6. Let x be m(9). Let b(s) = x - 3867 - s**2 - 3*s. Let h = -3 + 1. Determine b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60461917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 609478678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (14 - -4) + -24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345786322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 38192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 9*d**2 - 11*d - 3. Determine p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 4*g**2 - 2*g - 2. Suppose -5*j - 3*x + 2*x - 17 = 0, 0 = -2*j + x - 4. Calculate the smallest common multiple of 8 and a(j).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 3*l - 1. Let w be i(-2). Let z be (-6)\/((11 + -5)\/6) - (-21)\/(-3). Sort -1, w, z, 3 in decreasing order.\nAnswer: 3, w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6998 and -5.4?\nAnswer: 6992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(500) - sqrt(500)) + -1 + -3*(sqrt(500)*2 + 4))**2.\nAnswer: 2160*sqrt(5) + 18324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-77)\/(-15) + (-4)\/30. Suppose -t + 2*f + g = -3*f, -5*t - 3*f = -25. Suppose -4*q = -3 - t. Calculate the remainder when 12 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**2 + w**3 - 4*w + 6*w**2 - 3*w. Let d be r(-7). Solve -2*l + l + 2*v + 2 = d, 0 = -2*l - 4*v - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 33, 15, -3, -21, -39?\n\"Answer: -18*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -6\/5, -15, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 8*d + 9. Let q be c(7). Suppose 0*f + q = -f. What are the prime factors of 2 + (2 - -1 - f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -105, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2741 + 34165\nAnswer: 36906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7752 is divided by 7591.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/29121?\nAnswer: -8\/29121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(-3 + sqrt(153)) + sqrt(153) + -3 + 0))**2 + -5.\nAnswer: -23328*sqrt(17) + 209947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(153) - (sqrt(17) + sqrt(425) + -2))**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -27. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2537*l**3 + 3*l**2 - l - 3. What is the tens digit of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2948 - -4099. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8735 + 8739. Solve 5*w - 20 = -i*m + 9*w, 2*w - 2 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4203 - 2703. Suppose 55*z = 50*z - i. Let v be (z\/4)\/(-2*3\/6). What is the highest common factor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.007, 0, -1, -0.03, 5 in increasing order.\nAnswer: -1, -0.03, 0, 0.007, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83046*n**3 + 338409*n wrt n.\nAnswer: 498276*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105591247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17900*0.3.\nAnswer: -5370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 - 12*a + 28. Let p be j(10). Let q = -8 + p. Solve -2*i + l = -q*i - 7, -i + l + 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 32*b**2 - 4*b**2)*(-4*b - 1 + 1)*(3*b - 3*b - 7*b**2).\nAnswer: 700*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5. Let d(r) = -m + 3*r + 2 - r**2 + 2*r. Let l be d(6). Which is the closest to -2\/3? (a) -1 (b) l (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/45*120\/8 - 3. Put m, 0, -92, 4 in increasing order.\nAnswer: -92, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c, -5*c = -6*h + 5*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.467 + -1.467. What is the fourth smallest value in -47, 1, 0.9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3349*w + 248665. Give q(76).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -57. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -72 (b) -3\/13 (c) 3.2476 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -26.979. What is n rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r - 48 = 5*q - 194 + 80, 4*q = -5*r - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnrnfjjjnfjjjr. Give prob of picking 2 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 9. Let g be t(6). Suppose 5*d = g, -d + 26 = c - 3*d. Calculate the highest common divisor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1735028 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from {u: 7, d: 5, i: 3, y: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.158 * -0.07\nAnswer: 0.01106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 35529 + 5777 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14268 divided by -164.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 115 = -11*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(36 - 32 - 267 - 492)*(2*v**4 + 25*v**2 - 25*v**2).\nAnswer: 1510*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3901*l - 3917*l - 64 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 462 = 6*p. Let y be 110\/p + (-1 - -1). Solve 0 - 2\/7*o**4 + 6\/7*o**5 - y*o**3 + 4\/7*o + 2\/7*o**2 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 0*i. Suppose 0 = 5*u + 5*t - 0 + 10, 0 = 4*u - 4*t - 32. Find the common denominator of 114\/i*(u - 4) and -67\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.3, 2, 243?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 3082.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11492 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 + 35 = -79*k + 23*k. Solve l - k*i + 1 = 0, 14*l - 19*l + 4*i + 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 - -1. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 66\/5*o**2 + 2\/5*o**5 - 72\/5*o - 72\/5 + 26\/15*o**3 - 38\/15*o**4 = 0.\nAnswer: -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 + -229. Let f = q - 170. Which is the second biggest value? (a) 0.4 (b) -1\/2 (c) f (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/143? (a) 17\/3 (b) -37 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 5*v**2 + 5*v + 2. Let z be f(-7). Suppose 2*c - 55 - z = -3*l, 0 = -4*l. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.82 - -32.82. Do -2\/15 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 less than or equal to -782075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -284 - 162 - 147*b - 125*b - 131*b - 462. Let m(j) = 134*j + 302. Let p(h) = -2*i(h) - 7*m(h). Differentiate p(a) with respect to a.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20781 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 609760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 23*b**2 - 2*b + 19. Let q(w) = 7*w**2 + 6. Calculate 2*j(c) - 7*q(c).\nAnswer: -3*c**2 - 4*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35268889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*5\/(105\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 27) + 1 + (-1 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6451, 12903, 19357, 25813, 32271, 38731, 45193?\nAnswer: 51657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*q - 4*t, -5*q + 4*t - 47 = -55 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 0.23. Let u = r - -0.28. Let o = -4.98 + u. What is the closest to 1\/4 in o, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1892385119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 34*w**2 - 21*w - 36. List the prime factors of y(17).\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(8\/(-96)*27)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6*r = 2*r + 1955, 5*b - 2*r - 1985 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7670 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - 13 - -9 - (75 + -40).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 - 3 = 0. Let k(u) = u**2 + 2. Let d be k(0). Suppose -d*f + j + 4 = 0. Solve 4*c = 3*c + 2, f = -h + 3*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1489*x + 1495*x = 48. Let s(a) = -4*a**3 + a + 1. Let m be s(-1). Suppose -m*d = -5*d + 29. Calculate the remainder when d is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290\/20*-44 + -11. Which is smaller: -648 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40263?\nAnswer: 3, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1011402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 8142296*l.\nAnswer: -l*(l - 8142296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Calculate 6045\/(-124)*(-20 + 56\/3).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*r = 5*t - 61, -5*r - 75 = -5*t. Let b be 41 - ((-2)\/(-1))\/(-1). Let m = -21 + b. What is the least common multiple of t and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9.4. What is the biggest value in 0.3, -1\/2, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 5421879*d + 5421879*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((2 - -13 - 8 - 16) + 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3))**24*r**(4\/5)\/r**0 assuming r is positive.\nAnswer: r**(-236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 23662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5 + 7. Let y(t) = t**3 + 29*t**2 + 26*t - 30. Let h be y(-28). What is the second derivative of 16*f - 8*f**4 + h*f**k - 4*f**4 wrt f?\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 9*f - 50. What is the tens digit of l(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -6, c - 39 = -3*x. Which is bigger: c or 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 21 = 0. Calculate the smallest common multiple of 142 and f.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199355 a multiple of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3250 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 8 - (-146 - -168).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {w: 11, m: 3, q: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -1\/2, 1764, 4, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 3 - 3 + (2*c**2 - c**2 + c**2)*(-1 + 0 + 2) + (-2 + 3 + 1)*(0*c**2 + c**2 + 0*c**2) - 1 + 1 + 3*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*j**6 - 54*j**6 + 18*j**2 + 96*j**6 wrt j.\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1 + (-2)\/2))\/(32*(-535)\/(-821760))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5511\/3006)\/(2\/(-24)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -15. Let z = j + 30. Suppose 6 + 74 = 5*u. What is the smallest common multiple of u and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g - 1. Let l(v) be the first derivative of -4*v**3\/3 + 3*v**2 - 3*v + 2. Give -5*h(u) + l(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) 3\/4 (b) -5\/19 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1486, -1159, -832, -505, -178, 149?\n\"Answer: 327*z - 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 1. Let g be (3 - (-5)\/(-2))*2. Let t be u(g). What is the first derivative of 0 + 0*m + 4*m - t wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58c1 - 66?\nAnswer: -5957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d - 157. Calculate the remainder when 88 is divided by x(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148362 and 6409614.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1958, -3915, -5872?\n\"Answer: -1957*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2, y: 1, v: 1}. Give prob of sequence vr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(22)\/sqrt(2))**2 + sqrt(11) - sqrt(11)) + 0).\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1498492*l**2. Let r(t) = -15*t. Give r(b(m)).\nAnswer: -22477380*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*(sqrt(117) - -1*sqrt(117)))**2)*-2 + (5*(sqrt(117)*1 - sqrt(117)))**2 + sqrt(117) + sqrt(117) + 1 + 5 + -2.\nAnswer: -8426 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2 + 1*(-35)\/(-10)). Suppose -5*c = 5*n - 2630, -t*n = -8*n - 2*c + 2636. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 783211 and 2?\nAnswer: 1566422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.098 + 0.942. Round u to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -4*l = q - 3*l + 1, -2*q = r*l + 5. Let t(x) = -3 + 2*x**q + 3. Let z(p) = 3*p. Determine t(z(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -766. What are the prime factors of f?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -479?\nAnswer: 478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 127\/4. Let z = -0.11 - 1.25. Let k = z - -1.56. Which is the nearest to m? (a) 3\/7 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:54 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*j + 5783, 25*j + 2316 = 27*j - h. What is the remainder when j is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1143923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6562951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398433\/40 + -49236\/5. Let p = 114 - t. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -103*c. Let u be x(-1). Suppose m = -2*m + 2*i + 106, -5*i + u = 4*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17*d**2 - 14449*d - 44378. Give g(853).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(68) + 4 - (-1 + sqrt(272))).\nAnswer: -16 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 298376, 1193166, 2684482, 4772324, 7456692, 10737586?\n\"Answer: 298263*c**2 + c + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let p = 17.73 - 1.53. Let l = 16 - p. What is the closest to l in 3\/5, x, 3\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 553199.5709484?\nAnswer: -553199.4909484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68\/71 + 1808\/781. Calculate the common denominator of 2\/(-8) - (-55)\/(-8) and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3916876557273 minus 24?\nAnswer: -3916876557297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(266\/931 + 2\/42)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 4*254\/(-200))\/(2\/10). Let u = 22 - 19. Which is the second biggest value? (a) -0.015 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 2*u - 2*u + (-4*u + 2*u**2 + 4*u)*(3 - u - 3) + 13725*u + 0*u**3 - 42 - 13728*u - u**3 + u**2.\nAnswer: -2*u**3 + u**2 - 3*u - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 5. Let h be z(-5). Suppose h*d = -2*u + 425, 27 - 12 = 5*d. List the prime factors of u.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761089101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 1\/2 (c) 1 (d) -1\/11 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + 201. Let i be (2 + 0 + -1)*(25 - y). Solve -4*g - i = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1946)\/(-386420)*(-460)\/(-161)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10110100 (base 2) to base 14\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274\/21 + (-1)\/(-3) + 5 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -0.1, 8\/75, 15, 2\/7, -1 in ascending order.\nAnswer: -1, -0.1, 8\/75, 2\/7, 5\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/1 - 616\/56?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*w*x**3 + 2*w*x**2 - 110766*w*x + 492*x**3 - x**2 wrt x.\nAnswer: 924*w + 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/(-39) - 150\/9. What is the hundreds digit of -1*6\/(q\/1173)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 3*3\/9 + 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111086006 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(-967 - 1822 + 951)*(4 + r - 4)*(3 - 2 + 0) to j*r + y and give j.\nAnswer: -1838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3498935?\nAnswer: 5, 11, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 27) + 24 - 17?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(5\/4)*j**(6\/13))\/(j*j*j**(-1\/9))**(-7) assuming j is positive.\nAnswer: j**(7457\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 16 (c) -277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3\/8*h**5 + 0*h + 0 + 3\/8*h**2 - 3\/8*h**3 - 3\/8*h**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 175. Is 9 a factor of a*2 - (60\/4)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2100*x**2 + 1255*x**2 + 1612*x**2 + 1 - 3*x as s + n*x + m*x**2 and give m.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3004750*m. Let t(b) = 7004*b. Give -4*k(s) - 1717*t(s).\nAnswer: -6868*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 259173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkn when three letters picked without replacement from {o: 3, z: 1, k: 12, n: 4}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 34, 66, 134, 250, 426, 674, 1006?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14270*g*z**3 - 2*g*z**2 - g - 467*z**3 + 27 wrt g.\nAnswer: 14270*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 202 and 201 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -0.98, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**3 - 78*k**2 + 5*k - 5. Let w(s) = 3*s**3 + 38*s**2 - 2*s + 2. Let v(x) = -2*d(x) - 5*w(x). Factor v(j).\nAnswer: j**2*(j - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 - -159. Suppose -178 = -4*s - p, 144 = j*s + 4*p - 28. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 26. Let w = a - 437\/5. What is the nearest to w in 1\/2, 2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 29. Suppose 2*a = 2*x + 7 + 3, 5*a - 39 = -2*x. Suppose -r + a = -c, -3*c = r + c + 3. Solve r*i = -0*o + 4*o - n, 0 = -5*o + 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46573? (a) 1 (b) 0.03 (c) 4 (d) -1 (e) 0.3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209\/4)\/(((-202950)\/328)\/225)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-195)\/520 + 3739\/8. Let o = -409 + m. Calculate the remainder when 184 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474 times -0.048\nAnswer: -22.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54833 + 3?\nAnswer: -54830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:04 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2\/5 - 16968*q + 84836\/5 = 0. What is q?\nAnswer: 1, 21209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50704 - 50672 = 2*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -484, -486, -488, -490, -492?\n\"Answer: -2*q - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2023\/(-490) + 189\/45?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 65534*v + 4456346. What is t(-68)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*p**3 + 108*p**3 + 104*p**3 + 108*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(3\/8)*((f**(1\/6)\/f*f)\/f)\/f assuming f is positive.\nAnswer: f**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 12. Sort h, 4, -5, 0 in increasing order.\nAnswer: -5, h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4827, -4842, -4857?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-144)\/(-24) + 670\/(-72) and -31\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -77. Let s = -41 - f. What is the second biggest value in -2\/9, -0.1, s, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i = -2*q + 3, -4*q + 5*i = -11. Let o(w) = 2679*w**2 + 7*w + 8. Let z be o(q). What is z rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n + 3. Let j = 38 + 49. Suppose 3 = 5*f - j. Suppose 6*c - c - 3 = -4*x, -2*c = -4*x - f. Give h(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/26 and -37\/106.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Is (10 - 13) + 67*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202952 and 21068.\nAnswer: 46476008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - -4 - (1 - (4 + -7)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/(-4))*-10*761\/(-16742).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-40) - -1 - (-4)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 v when four letters picked without replacement from qqvqvqqvqqqbqvqvqqqq?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035166.\nAnswer: 2, 7, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69708502.\nAnswer: 2, 34854251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-m + 7*m**2 + 65 - 89 - 8*m**2).\nAnswer: -2*m**2 - 2*m - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 + 3*o + 7. Suppose -5*g + 944 = 3*g. Let b = 113 - g. Determine u(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 18 - 114)*(3*c + 8*c - 3*c).\nAnswer: -1072*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -32 - (0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-266)\/57)\/(1\/(-3)). Let y(v) = 11*v - 34*v + 1 + s*v + 10*v. Let w(m) be the third derivative of -m**4\/6 - m**3 - 4*m**2. What is -w(i) - 6*y(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + h**2 + 6*h + 7. Give a(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -99.3 + 1103824816.3\nAnswer: 1103824717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 l when four letters picked without replacement from yolwywlylwy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -20, -4, 14, 34, 56?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-0.5\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138890 and 83334?\nAnswer: 416670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n**3 + 1944*n**2 - 780*n = 0. Calculate n.\nAnswer: -130, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15621899 and -2.\nAnswer: 31243798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 117*d - 2*d**2 + 6*d**2 + 118 - 2*d**2.\nAnswer: -(d - 1)*(d + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 30*s**2 - 285*s + 131. Let i be b(17). Sort i, 0, 3, 4, -3 in decreasing order.\nAnswer: 4, 3, 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532739087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2599.3 - 2711. Let r = 112 + c. Is -13\/2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 18 + 18. Is u bigger than 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 + 8*m - 6. Let s be p(-9). Let r(j) = -4*j + s*j + 2*j. Let g(n) = 6*n. What is r(g(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (196617\/(-16) - 2) + 2. Let x = -14620 - -2327. Let f = x - z. What is the common denominator of f and 127\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 19*u + 17*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4\/375 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/202920 and -79\/120?\nAnswer: 202920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 785 = 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/6)\/((-64)\/(-168)). Let x(g) = g**3 + 7*g**2 + 4*g - 2. Let a be x(-7). Is a greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 9*p + 5. Let h be z(7). Let t = 9 + h. Suppose t*v - v = 5. Put 5, v, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, 0.2, -0.5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0916 in 6\/13, -3, 2\/11, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -37*y**2 - 6889*y - 1305. Give p(-186).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 - 14 = 0. Suppose 4*a - 85 = -4*v - 25, -a = -z*v + 33. List the prime factors of -4*2\/v*-126*1.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -161\/6. Determine b so that -1\/3*b + k + 1\/6*b**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19224 - 0.39224. Which is the closest to 0.1? (a) 1 (b) -81 (c) n (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -1278, -4, 3 in descending order.\nAnswer: 3, 0, -4, -7, -1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30701.82 micrograms?\nAnswer: 30.70182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 5*l - l + 4*l - 10.\nAnswer: l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 70*u - 5662. Let v be w(-118). Let x be (-4)\/(-12)*3*1. Let k be 10\/(-3) - (-1)\/3. Sort v, 3, k, x.\nAnswer: k, x, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.9 - 47. What is the third smallest value in 12, s, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcsq. Give prob of sequence qs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9*h + 12. Let u be k(-8). Suppose -u*g + 0*g = -2*v + 292, -5*v = 5*g - 715. Suppose 2*x + 2*x - v = 0. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 61 - (0 + (0 - -1)). Let i = -33 - -56. Let s = q + i. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*i*p - 1104*g*p**2*r**2 + 2*g*p*r - 52*g + i*p**2 + 2*i*p*r**2 - i wrt p.\nAnswer: -2208*g*r**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(2 - (-14)\/(-10)). Put -30, g, -1, 3 in ascending order.\nAnswer: -30, g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/263 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 105*m**2 - 170*m - 1110. Determine b(-54).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + (-27 - (-98 + -52))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755, 890, 1255, 1964, 3131, 4870, 7295?\nAnswer: 10520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 3*f, 6*f - m = f + 10. Let t = 163 + -160. What is the third biggest value in 0, t, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -28. Suppose r*i = 21*i - 30017. Suppose -4983 = -5*l + i. Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131071 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*q**2 + 169*q + 49465 wrt q?\nAnswer: -136*q + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/36 + 25*44784\/(-16200) + 12.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2\/3)))**11)**41*(g\/(g\/(g**(-2\/5)*g*g)))**(-44)*g*g\/(g**(-3\/7)\/g*g*g)*g*g*g**(-2)*g assuming g is positive.\nAnswer: g**(24433\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34486 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 76.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 215703989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5591\/10230 + -1\/930. Let o = 6.4 - 6. Let g be ((-5)\/(-10))\/((-2)\/2). Sort g, o, c.\nAnswer: g, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 85*m - 247. What is j(5)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -73. Find the common denominator of (-2)\/((-16)\/(-69)) - 1 and 389\/91 - 8\/i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844256 + 844258 - 9*o + 94*o + 11*o.\nAnswer: 96*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -8303*f**4\/12 - 10513*f**2\/2 - 14*f - 13. What is the derivative of r(s) wrt s?\nAnswer: -16606*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 + 256*p - 16. Give j(44).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*k + 6*k - 17*k)*(-18 - 11 - 17)*(k - 4*k + k) to w + x*k**2 + t*k and give x.\nAnswer: 3588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12896 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293\/7, 15, -4, 3 in ascending order.\nAnswer: -293\/7, -4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/16*352\/(-33). Let h = -11.11 - -11. Let n = h + -0.09. Which is the closest to o? (a) -5 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -39\/2. Sort 1\/4, y, 0 in increasing order.\nAnswer: 0, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let b(w) be the first derivative of -2*w - 3\/2*w**2 - 6. Let z(s) = s - 1. Let h be z(0). What is h*b(g) + 2*x(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4554.598, 3?\nAnswer: 4554.598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + v - 56, 306*p - 304*p + v + 21 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 12, 10*y - 7*y + 34 = 5*h. Solve -n - 6 = -2*o - 1, -h*n - 2*o + 11 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28)\/sqrt(4)) - (sqrt(11) + sqrt(132)\/sqrt(48)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*56465.\nAnswer: 11293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40640934 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/137 at most -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 7 = 103. What are the prime factors of 320 + 6 + m - 4?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-2*k + 2*k - k) - 2*k + k + 3*k - 2 + 2 - 6*k)*(-2775*k**3 - 2 + 2417*k**3 + 2).\nAnswer: 1790*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 3*n**3 - n**3 + 0*n**3.\nAnswer: 2*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 51987393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -10.7.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.8 + 10.2. Let v = 108 - r. Let a be (-5)\/(-14) + (-1)\/2. What is the third biggest value in -4, v, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t**2 + 26*t**2 + 21*t**2 - 127*t**2 + 27*t**2 + 22*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.38296279 rounded to two decimal places?\nAnswer: -3.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4924*c - 30 = 4918*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -17. Suppose -m - m = -t, 2*g - 4*m = -10. Suppose 2*j - g*w - 7 = 0, -5*w = 3*j - w - 68. What is the greatest common divisor of j and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/63 and 13\/33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286092.\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Suppose -y*m + m + 20 = 0. What is the third derivative of -4*v**4 - 2*v**2 + v**m + 5*v**4 + 0*v**2 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427354 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 4. Let r(g) be the first derivative of -g**2\/2 + 14*g - 996. Calculate r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 37*w**2. Let u(c) be the third derivative of c**5\/20 - 129*c**2 + 1. Calculate u(l(x)).\nAnswer: 4107*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*u = -326 + 119, 5*u = 0. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838064231?\nAnswer: 41, 498551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/5430 and 25\/1224.\nAnswer: 1107720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Let g = n + -5. Let o be ((-272)\/17 - -31) + -15. Which is the nearest to 0.02? (a) o (b) g (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 65. Let t(o) = -97*o**2 - 151*o**2 + l*o**2. Let p(f) = f. What is p(t(g))?\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2 - 206*z**2 + 2*z**4 + 8714*z**3 + 4 - 8713*z**3 to c*z**4 + r*z**3 + t + f*z + u*z**2 and give u.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 21. Suppose -o*a + 2 + 5 = 5*j, 5*j = 2*a - 13. Suppose 19 = a*h - 221. Calculate the highest common factor of 40 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -57 + (-280 + 279 - (0 - 1))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4531427 - 591338 = -23*a - 212*a. List the prime factors of a.\nAnswer: 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1233 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 698 = -1272. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 250*i - 4875.\nAnswer: 5*(i - 15)*(i + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 687223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.29033.\nAnswer: -0.145165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h**2 + 726*h + 3. Let k(c) = -c. Give k(v(i)).\nAnswer: 21*i**2 - 726*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 40 = -90. Suppose -10 = -5*g + v. Is 99\/g + 6\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.1 (b) 0.54 (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1432460 divided by -1.\nAnswer: 1432460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 22. Let t(i) = -3*i**l + i**2 + 0*i**3 + i**3. Calculate t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -193, -360, -499, -616, -717, -808?\n\"Answer: -h**3 + 20*h**2 - 220*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28144 + 28147. Solve -7*c = -3*c + 3*y - 12, -4*y = -c + b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193680 and 15318.\nAnswer: 164821680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4\/5, 0.5, -3, -11\/40794, 2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -0*o. Let v(c) = -c**2 - 7*c - c**o + 2 - c**2 + 4*c**2. Give v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n*z**3 - n + 173*z**3 - 2388*z wrt z.\nAnswer: -36*n*z + 1038*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 82*v**2 + 12127*v**3 - 82*v**2.\nAnswer: 12127*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a35c (base 16) in base 11?\nAnswer: 73727","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824170 is divided by 692.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.2194 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470.62*-0.4.\nAnswer: 188.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8508.521ng to tonnes.\nAnswer: 0.000000000008508521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -252, -547, -894, -1311, -1816, -2427?\n\"Answer: -3*n**3 - 8*n**2 - 250*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33797 by 7200.\nAnswer: -33797\/7200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85408 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (19 + -12 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 7*h = -364. Let o be 14\/h + (-67)\/(-2). Is 34 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:12 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllwivwy. Give prob of picking 1 i and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*c + 3*c**2 - 10*c**2 + 5*c + 11*c + 3*c + 3 as i + o*c**2 + r*c and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 7*d**2 + 2 + 5*d + 40*d**2 + 8*d**2. Let r(w) = 28*w**2 + 4*w + 1. Let i(m) = -4*k(m) + 9*r(m). What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58381 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -35604*g + 284841. Determine u(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 12009342?\nAnswer: 96074736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -23023807 > -23023809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(39)\/sqrt(3) + sqrt(13)) + sqrt(91)\/sqrt(63))*-1)**2.\nAnswer: 250*sqrt(13)\/3 + 8350\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 56, 81, 106, 131?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 8. Let y be z(5). Suppose 0 = -4*x + y + 20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/81639 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9081 to two dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 0*p = 3*f + 17 - 7 + 23, 2*f + 27 - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + y - 4, -33*b - y - 8 = -31*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-25)\/30)*4. Let y = -1092 - -1094. What is the third biggest value in y, b, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245.1 - -246.0976. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -4. Let f(z) = z - 1. Suppose 4*r + 1 = -3. Let k(a) = 5*a - 5. Calculate r*k(w) + x*f(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/((-78)\/(-182))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 + 2156*j + 1440.\nAnswer: -2*(j - 360)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 40*a**2 - 45*a. Let p(b) = -b**2 + b. Give -4*c(w) - 180*p(w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4*c + 36, -6660*r - c = -6656*r - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -11*a**5\/30 - a**4\/3 + a**3 + 18*a**2 + 2*a + 24. Let u(c) = -66*c**2 - 23*c + 17. Give 6*u(m) - 17*z(m).\nAnswer: -22*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975498 is divided by 325163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -217, -5, -6.\nAnswer: -217, -6, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-216)*6\/(-4). Which is the closest to 2\/11? (a) -0.5 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 6*s - 3. Let o be (0\/1 + -3)*1. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1186.1 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 340, 377, 466, 631, 896?\n\"Answer: 4*w**3 + 2*w**2 + 3*w + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 154. Let a = 11788 - 11750. Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*-72 - (-2)\/(-1). Suppose 0 = 4*m - x - 134. Suppose 25*i - m = 24*i. Calculate the greatest common factor of i and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w. Suppose -12*q = -6*q - 18. Let x(t) = 0*t**2 + 4*t**2 + 0*t**2 - 4*t**2 + q*t**2. What is n(x(a))?\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229528249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 2 + 2 + (-c**2 + 3*c**2 + 0*c**2)*(2*c**3 + 3*c**3 - 3*c**3) + (3*c + 18*c**3 - 3*c)*(-3*c**2 - 3*c**2 + c**2).\nAnswer: -87*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.39 + 6.19. Let x = 0 + -0.1. What is the nearest to 1 in t, -20, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29062 + -28846.31. Let u = 217 - b. Let g = u + 0.69. What is the second biggest value in g, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28211 - 28938. Which is the smallest value? (a) -0.03 (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1 - -21) + 1 + -4. Suppose t*n = 19*n + 43. Let o = -36 + n. Calculate the highest common factor of 28 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 8*g + 1 - g**3 + 11*g. Let i(c) = 4879681*c**4 - 830573*c**3 + 53016*c**2 - 1493*c + 5. Let o(p) = 2*i(p) + 22*y(p). Factor o(w).\nAnswer: 2*(47*w - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -2, -1.\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/10 + (-10)\/50. Suppose -p = -2*f + 3*p + 12, a = -2*p. List the prime factors of f + (-5)\/(-2)*20.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = j - 24, -4*z + 66 = 2*j + z. Suppose 44 + j = 2*f. What is the greatest common factor of 108 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21241.82 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 7*c**2 - 5*c**2)*(-5 + 2 + 2)*(-2 + 2 + 5*c)*(5*c**2 - 3*c**2 - c**2).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 13. Suppose 27*k + 3925 = -17. Let p = 156 + k. Calculate j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4429*k - 4433*k + 3*r - 60 = 0, 4*r = k + 80 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2400004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -96*u**3 + 20*u**2 + 49*u - 12. Let m(v) = -61*v**3 + 13*v**2 + 33*v - 7. Let z(b) = -11*m(b) + 7*q(b). Calculate z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.1. Let u be 1 - (2 - 6\/2). Suppose -u*j + 2 = -0*j. Which is the closest to l? (a) -0.1 (b) 4\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 86\/76595?\nAnswer: 86\/76595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**3 + 4*k**3 - 8*k**3 - 6*k + 4. Differentiate l(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2715 and 724?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 13 = 2*s, -3*p = -4*s + 2*s - 71. Calculate the remainder when p is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 2 (b) -2 (c) 47 (d) 6\/253 (e) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -576 - -473. Suppose 2*x - 54 = 4*x. Let r = x - d. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 + -bdc90?\nAnswer: -bdc46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 206490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nrnnrrnrrr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -859, -2721, -5841, -10231, -15903, -22869, -31141?\n\"Answer: -2*x**3 - 617*x**2 + 3*x - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 1 - 1 + (2 - 2 - 2*w)*(-23*w**2 + 67*w + 15*w**2 + 5*w**2).\nAnswer: 4*w**3 - 134*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/150 and 43\/135.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfxbxebbbkbbbbfee. What is prob of sequence bex?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*k = -2, 3*b = -11991*k + 11986*k + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q**2 - 2)*(-5*q + 3*q**2 + 5*q) - 3*q**4 - 2*q**4 + 11*q**4.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 244264?\nAnswer: -244313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(360) + sqrt(360) + 1*sqrt(360))*-1 - sqrt(360))\/sqrt(10))\/(((sqrt(108) - (sqrt(108)*2 - sqrt(108)))*3 - sqrt(108))\/sqrt(9))*-4.\nAnswer: -64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:47 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -19*z**3\/2 - 71*z**2\/2 + z + 26. What is the derivative of b(y) wrt y?\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by -39.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -144. Is f at least as big as 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 1 + 1)*(6 - 559868*y**2 + 570*y**3 + 559868*y**2) as p*y**2 + z*y**4 + b*y**3 + n*y + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 543*l**4 - 15597*l**3 + 795015*l**2 - 8278200*l + 23814000 = 0.\nAnswer: -105, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 68, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1013202 (base 4) to base 14\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 44 = -4*a, 14*n - 3*a - 39 = 10*n. Suppose 0 = 4*u - 8, -n*m + 5*m = u - 8. Solve 0*w = m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*b + 2*w - 194, 0 = b - w - 43. Suppose 2*i = -3*i + b. What is the lowest common multiple of i and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -150*t - 2784. Is n(-53) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54875, -109675, -164425, -219101, -273679, -328135, -382445, -436585?\nAnswer: -490531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s - 22 = 36. Solve -8*k = -6*k + t + 1, -k + s = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46339\/15 - 3089. Let s(k) be the first derivative of 1\/30*k**4 + 17 + 4\/5*k**2 - h*k**3 - 16\/15*k. Factor s(f).\nAnswer: 2*(f - 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 5012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*n - 204*n + 0 - 145*n + 0 + 511*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*v - 25 - 373 = -48 + 310 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.281 * -0.7\nAnswer: 0.1967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/24 + (-2)\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3)\/6 - 17607\/(-6). Suppose -3151 = -5*c + j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f**2 - 93*f + 303. Determine v(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 997 + -2965\/3. Let v = f + -133\/15. Let b = 0.01 + 2.99. Sort 0.4, b, v.\nAnswer: v, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-153) - (-49)\/(10829\/(-3900))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((3*-118)\/1)\/1*(-48)\/(-4464)*31\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 1\/30*p**5 - 2\/9*p**4 - p - 5\/9*p**3 - 2\/3*p**2. Factor b(v).\nAnswer: -2*(v + 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -x + 3, -x = 5*r - 2*x + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - -4) + (-8 - (-17 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -105\/32 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80732121 a multiple of 6173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 5*h + 66, -h = 2*k - 26. Let y be (-48)\/k - (3 - 6). Let d = -23 - -21. Which is the second smallest value? (a) 2\/3 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 211000002111201?\nAnswer: 211000002111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 9. Let a = -15 + m. Let f = a - -17. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose -3*t + 1949996 = 2*n, -h*t = -3*t - 2*n + 649996. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376719849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2726 and 1300302?\nAnswer: 1300302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.011, -1, 0.4, -0.4 in decreasing order.\nAnswer: 0.4, -0.011, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 6*z - l, 0 = -3*l + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 71*(0 - (3\/3)\/(-1)). Let r(g) = 33*g**2 + 41*g + 2*g**2 - u*g. Let m(x) = x**2 - x. What is 30*m(f) - r(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/12 + q**3\/6 - 3*q**2\/2 - 7*q. Let b be (-2)\/(1 - 0) + -5. Is r(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + (-1496)\/168?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 26.3, 5, -1, -4, 7\/9 in ascending order.\nAnswer: -5, -4, -1, 7\/9, 5, 26.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1885820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w + 2*c + 17, 3*w + 12 = 3*c. Let x = -10 - w. Let m be 1 - (5 - (4 + 5)). Put m, 4, 1, x in descending order.\nAnswer: m, 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 302626718\nAnswer: 302626718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -2. Let i be -2 - (0 - m) - 2. Calculate the lowest common multiple of 8 and 4\/(-3*i\/(-30)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41658675.\nAnswer: 3, 5, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:05 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 2*v + 2*v + 3*v - v + 0*v + (-5*v - 2*v + 5*v)*(-4 - 1 + 3) + 0 + 2*v + 0 - 15201570*v - 2 + 74 + 15201549*v.\nAnswer: -12*v + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3264)\/(-5712)*(-77)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*y - 79 + 2*y**3 + 118*y - 237*y + 4*y**3 to k*y**2 + c*y + g + o*y**3 and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from ooowoooow?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - s - 3. Give p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -15.78, 17, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791887939.\nAnswer: 791887939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4373, 40, 8.\nAnswer: 8, 40, 4373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = -2*n - 23, 0 = -4*c - 5*n + 6. Solve 5*m - x + 22 = 0, c*x = 5*m + 6 + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1522593*q**2 - 4567786*q + 3045192.\nAnswer: (q - 2)*(q - 1)*(q + 1522596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 4*s - 14. What is q(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.1 - 22. Suppose 6 = -2*x - 4. What is the closest to -5 in -4, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.12 - 11.12. Let h = 0.01 + 0.09. What is the nearest to h in 2, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 2\/13 (d) -85 (e) 1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/3) + (-9)\/(-3). Let q be u\/4 + (-42)\/(-4). Solve -k = -5*m, 4*k - 4*m + 5 = -q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -137?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 921\/5 - 183. Put -7, x, -2\/37 in ascending order.\nAnswer: -7, -2\/37, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15, 2*v - x + 1 = -10. Let b(p) be the first derivative of -p**2 + 3*p - 505. Give b(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)\/m**(-14))\/(m**(5\/4))**(-13))**(-3\/10) assuming m is positive.\nAnswer: m**(-371\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300168.7ns to milliseconds.\nAnswer: 0.3001687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -520, -2448, -5656, -10120, -15816, -22720?\n\"Answer: 4*o**3 - 664*o**2 + 36*o + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 40. Solve i*o - 7 = 3*f + 5, -f + 16 = 3*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 3*p)*(-1 + 3 - 3) + (-5 + 2 + 2)*(3*p + 3*p - 2*p) + 4 - 4 + p + (6*p - 2*p - 3*p)*(-1 + 1 - 2).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 164473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450310.301 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28938 and 2226.\nAnswer: 28938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99071519.1 - -0.35.\nAnswer: -99071518.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/32)\/((-13)\/52).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -8.834872?\nAnswer: 10.834872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 50 = 5*u, 6*u = -49*w + 50*w - 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -12. Let g be o - -1 - (-3 + 5). Let u(a) = -4*a - 6. Let x(f) = -1. Let s(c) = -u(c) + 5*x(c). Give s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241377*0.12\nAnswer: 28965.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221484211 is divided by 6709?\nAnswer: 6703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -22.\nAnswer: -22, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i. Let s(w) = 8*w + 27. Let q be s(-3). Let a(y) = 0*y - 3*y - q*y + 4*y. Give a(v(r)).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*c - 2. Let q(y) = -y**3 - 5*y**2 + 5*y + 3. Let a be q(c). Suppose a + 46 = x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55525213 (base 6) to base 10.\nAnswer: -1675593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/5 + q**4\/6 + q**3\/3 + q**2\/2 - 51*q. Suppose -6*m + 0 - 6 = 0. Calculate l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99477 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101077443, -101077445, -101077447, -101077449?\nAnswer: -101077451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 23*v**2 + 23*v + 41. Let b be o(21). Suppose 0 = 4*u, -b = -l + 6*u + u. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, i: 10}. What is prob of sequence ii?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1184, -2368, -3536, -4682, -5800, -6884, -7928?\nAnswer: -8926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 1127221.\nAnswer: 56\/1127221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 1. Suppose 3*q - 5*q - 18 = 4*b, 16 = -4*b. What is the units digit of a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = -6*t + t + 4*b, t - 123 = -b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tbbbttbbbutttb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (1 + sqrt(17))) + 5 + sqrt(833)*3)**2 - ((6*sqrt(425)*-1 + sqrt(425))**2 + -5 + sqrt(425)*1 + sqrt(425)).\nAnswer: -3107 + 158*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/2)*f*f**1*(f**(-1))**(-2\/13))**36 assuming f is positive.\nAnswer: f**(2178\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -37*g - 97. Let v be s(-25). Let p = -838 + v. Let y(m) be the second derivative of m**5\/20 + 5*m**4\/6 - m**3\/6 - 5*m**2 - m. What is y(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2*z + z + (-3 + 1 + 0)*(-2*z - 3*z + z) + (-3*z - 2*z + 4*z - 7)*(-35 - 151 - 1) to the form y + u*z and give u.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 17. Differentiate -4*t**3 - 2*t**f + 18 - 9*t**3 + 6*t**3 with respect to t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 327*s**5 - 8247*s**4 + 57717*s**3 - 162405*s**2 + 174312*s - 31104 = 0.\nAnswer: 24\/109, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 569*q**3 + 70722*q**2 + q + 684470609 with respect to q.\nAnswer: 1707*q**2 + 141444*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 72000 = -i. Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 444 (b) 2\/5 (c) 12\/11 (d) -1 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b**(1\/11))\/(b**8\/b**(-3\/4)) assuming b is positive.\nAnswer: b**(-29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55455 + -4?\nAnswer: 55451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -4. Let n(d) be the third derivative of -d**4\/12 + d**3\/3 - 4*d**2. Let w be n(h). Solve j + 2*j = w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.022 and 1042?\nAnswer: -22.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:42 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 54 - 2)*1. Let y = d + 39. Suppose 5*s + 5*h - y = 0, 0 = 4*s + s + 3*h - 94. Solve s = 5*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let i(v) = 432582*v. Give m(i(r)).\nAnswer: -865164*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -49 (c) 4 (d) 294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/16 - 8806\/(-20720). Let d(r) be the second derivative of 0 + x*r**5 + 4*r**3 - 8*r**2 - 26*r - 3\/4*r**4. Factor d(g).\nAnswer: (g - 4)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 + (15 - 7) + -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5535198 divided by 2.\nAnswer: -2767599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 34*v + 37*v = 8, 3*v = 7*a - 1 + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.13 times -8\nAnswer: 17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*x + 4*h, 0 = -4*x + 3*h - 118 + 129 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 866.\nAnswer: -866.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -156 (b) -30 (c) -3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -3*v - 5*t + 2*t, -t + 79 = -v. Let a be (0 - 2)\/1 - v. Calculate the highest common divisor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*i + 5*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8733 = -56*g + 257*g + 1625 - 2339 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - -1 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87990 (base 10) to base 13.\nAnswer: -31086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452*s - 882*s - 1331*s**3 + 2618*s wrt s.\nAnswer: -7986*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 + 1)*(-1 - 2*p + 1) - 3*p - p + 3*p)*(3*p + 3*p - 4*p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from yuupuuupupeu.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(3 + (-2*sqrt(1584) - sqrt(1584)) + -2))**2.\nAnswer: 432*sqrt(11) + 128308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 4*v + v**2 - 2*v + 11717*v**3 - 11718*v**3. Let m(k) = -19*k**3 + k**2 + 1. Determine -f(g) + m(g).\nAnswer: -18*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25500 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 1105*z - 1100*z - 35 - 21, r + 34 = 3*z - 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2251233 and 4502466?\nAnswer: 4502466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**4 + 9*n**3 + 9*n**2 - 12*n. Let b(s) = -s**4 - 2*s**3 - 2*s**2 + 3*s. Let f(w) = -18*b(w) - 4*g(w). What is the second derivative of f(p) wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 25668?\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 230 + -223?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/1565 + 145537\/3130. Find the common denominator of 33\/(-7)*(0 - 7\/10) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (-1 + 2) - (-54 + 27 - -29 - 0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15996*l**4 + 355*l**2 - 11*l + 721975 wrt l.\nAnswer: -191952*l**2 + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**4*l - 22*d**2*l**3 - d*l + 2*l**3 - 147*l wrt d.\nAnswer: 48*d**2*l - 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 + 4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((7 - 3) + -7 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28599\/20 at most 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810661 is divided by 115767.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*s + 11, -3*s + 5*s - 4 = t. Calculate the remainder when 18 is divided by t - (0 + (-9 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.09, 2, 3, 4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2088 and 180.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*x + 11132 + 464*x - 11139.\nAnswer: 26*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16482681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1274, 1473, 1670, 1865, 2058?\n\"Answer: -k**2 + 202*k + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24779165 to the nearest integer?\nAnswer: 4978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20884\/24 - (-4)\/(-6). Let u = y - 846. Let p = 23 - u. Which is the second biggest value? (a) 0.1 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 90.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1518 and 690?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34834.13 nanograms in milligrams?\nAnswer: 0.03483413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*x + 2. Let w = x + 274. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyjzjtztttztjyjtyj. Give prob of picking 1 j and 1 t.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74571*r**3 + 747*r + 52418930?\nAnswer: 223713*r**2 + 747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m = -116*m - 1032. Let d(g) = 2*g**3 + 85*g**2 - 45*g - 85. Let r be d(m). Sort r, 0, 46 in increasing order.\nAnswer: 0, r, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(245) + sqrt(245) + 2)**2 - (2 + sqrt(245) + 0)**2).\nAnswer: -28*sqrt(5) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -451502, -1806010, -4063524, -7224044, -11287570, -16254102, -22123640?\n\"Answer: -451503*v**2 + v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12666 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: Find r, given that -2*r**4\/5 + 562*r**3\/5 + 1704*r**2\/5 + 8*r\/5 - 2272\/5 = 0.\nAnswer: -2, 1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - 1 - -1) + 34 + -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 11 (c) 1\/15 (d) 2\/9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893aa (base 13) to base 2.\nAnswer: 111100110001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47\/3736 or -1?\nAnswer: 47\/3736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 989, 8181, 27715, 65765, 128505, 222109, 352751, 526605?\nAnswer: 749845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = -92. Let f = -12 - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/8 + 10. Find v, given that z(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-63))\/((-12)\/((-336)\/(-20))))\/(33\/15)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -d850?\nAnswer: d860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4577270?\nAnswer: 2, 5, 37, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12402\/37, -3\/7, -6\/7, -8 in descending order.\nAnswer: 0, -3\/7, -6\/7, -8, -12402\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 346, 1380, 3106, 5524, 8634, 12436?\n\"Answer: 346*k**2 - 4*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3547013 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i + 101. Let k be h(25). What is the tens digit of 131 - k\/((-3)\/(-30)*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0 - 3. Suppose 0 = -5*v + j*v + 30. Suppose -355 = -v*r + 10*r. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(-3*(2 + sqrt(343)))**2.\nAnswer: 1512*sqrt(7) + 18738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.5. Let y(x) = -x**2 - 10*x + 7. Let w be y(-11). Suppose 0 = l + l + 2, 0 = 5*n - 4*l + 1. Which is the nearest to n? (a) 1\/6 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1114486\/55 - 20262. Let p = t + -24\/11. Let m be 22\/(-18) + (0 - -1). Which is the nearest to -0.2? (a) m (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**3*r - 1433*q**3*t + 1793*r - t wrt q?\nAnswer: -6*q**2*r - 4299*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*b*h**2*y + 3*b*h**2 - 3*b*h*y - 2*b + 38*y wrt h?\nAnswer: 74*b*h*y + 6*b*h - 3*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79152 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824115354 to the power of 1\/3, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 - 123. Let t = k + -74.000129. Round t to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-234)\/(-45))\/(2\/10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 44, 95, 166, 257, 368?\n\"Answer: 10*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s + 0*s)*(44*s**2 - 31*s**2 + 77*s**2) - 2*s**2 - s**3 + 2*s**2 + (-3*s**2 + 2*s**2 - s**2)*(3*s - 2*s - 2*s).\nAnswer: 181*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14395 and 186?\nAnswer: 186.14395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from {j: 4, t: 3, u: 6}?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 0 - 2*l**2 + 5*l - 5. Let z(t) = -t + 1. Let c be z(6). Let p = c - -9. What is w(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -7*w + y, 5*w + y - 14 = 0. Suppose w*k - 79 = -j - 0*k, 5*k = -j + 73. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/(17 - (-1044)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*3*-3)\/(sqrt(11)*2*1).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-1 - -3)*(-15)\/10. Suppose 18*j - 66 = c*j. Which is bigger: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 100\/21*a**2 - 2\/63*a**3 - 5000\/21*a + 105. Factor d(j).\nAnswer: -2*(j - 50)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11953*-6.\nAnswer: 0.71718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19665 = 34*x - 47383. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h + h)*(22*h - 22*h - 8*h**2) + (h + h**3 - h)*(0 - 2 + 1) as w*h + g + u*h**2 + z*h**3 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113397.65 rounded to the nearest 1000?\nAnswer: 3113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3 - (-44)\/(-8)). Let k(t) = t - 5. Let z be k(i). Solve -2*a - 2*l + 12 = 0, -3 + z = -3*a + 2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 78.3.\nAnswer: 3.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3396 + 540 = -136*h - 356*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -565326367 + -1?\nAnswer: -565326370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -11.9 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-2)\/1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.1601.\nAnswer: 0.04803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h**2 + 2*h**3 + 4*h**2 + 20 + 21*h - h**3. Let y be ((-30)\/(-8))\/(15\/(-80)). Let x be o(y). Solve x = -2*m + 4 + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -3*t**5\/35 + 15*t**4\/14 - 24*t**3\/7 + 33*t**2\/7 - 3*t + 649. Factor u(q).\nAnswer: -3*(q - 7)*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:55 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*o + 15 + 60, -2*o + 2*v + 76 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118.88 + -118.719865. Let m = -0.16 + b. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 10)\/((-2)\/5). Let c = -36 - s. Let i be -6 + 5 - 67*c. Calculate the greatest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/22)\/((-12)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04362 + -0.04362. Let p = 373 + -372.9839. Is v greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1591 and -22\/51763?\nAnswer: 2225809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 2*u**2 + 5*u**2)*(5*u - 2*u - 5*u)*(4 - 27 + 5) to the form m*u + d + c*u**3 + k*u**2 and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-3) - -5 - (-28)\/(-51)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012221 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 631830224 - 1078.\nAnswer: 631829146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1302, -2599, -3898, -5199, -6502, -7807?\n\"Answer: -f**2 - 1294*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (-5 - (1 - 47)) - (85 + -1)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose -5*s + 8 = -w, -2*w - 1 = -5*s + f. Suppose s*c - 28 = 270. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - 2*m, 2*p + 5*m - 22 - 15 = 0. Let n = 292 - 83. Let h = -181 + n. What is the remainder when h is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 49*z**2 - 346*z - 726. What is m(-41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 - 5*m - 5. Let f be c(-5). Let x be 0 + (-12)\/f*-5. Solve -10 = -x*b - 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + k**2 - k. Let c(x) = -x**3 - 4*x**3 - x**3 + 4*x**2 + 14 - 16 + 7*x**3. Let m(h) = -h - 8. Let j be m(-4). Give j*i(q) + c(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**3 + 49*k**3 - 15*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 6*o**2 + 4 - 3 + 2 + 9*o - o**3. Let f be n(-6). Round f to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2161534 (base 9) to base 16.\nAnswer: 11bcde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/132 - (-2732)\/6. Let i be 494\/x - ((-2)\/(-7) - 0). What is the nearest to 1 in 6, i, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 65, 4, -179, -538, -1127, -2000, -3211?\nAnswer: -4814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 14*k**2 - 57*k + 287. Give w(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:27 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -41) + (-56 - (49 + -98) - (0 - 11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -31411503 - 343*v + 31411503. Let y(c) = 9*c**2. Give y(u(i)).\nAnswer: 1058841*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1526e59?\nAnswer: -1526e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-100))\/((-4)\/(-2))*(-6520)\/163?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1905, -3823, -5741?\n\"Answer: -1918*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4380951 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -113. Let u = -2 + 1. What is the third smallest value in u, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, -2\/7, 5 in decreasing order.\nAnswer: 5, -2\/7, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 900\/230 - (-7 - (-50430)\/7245)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073*a + 60 = -1067*a. Sort -4, a, 2, 1 in increasing order.\nAnswer: -4, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/4)\/(4\/(-30)). Let n = w - 64. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22112\/(-10))\/(14\/(-35)).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 82361937, 329447758, 741257459, 1317791040?\n\"Answer: 82361940*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1831 - -1835. Put 1, 33, g, -1 in descending order.\nAnswer: 33, g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33059235*t**3 + 39758346 wrt t?\nAnswer: -99177705*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + 42560\/(-28050). Let k be (4\/(-990))\/((-6)\/(-18)). Let m = k + h. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 263, 850, 1991, 3872?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/448 and -11\/576.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 84085.37 days?\nAnswer: 121082932.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 40*n**2 - 1. Let h(f) = 2*f**2 - 1. Give 3*h(d) - 3*j(d).\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/7 - 1167200*g**2\/7 + 1167202*g\/7 = 0.\nAnswer: -583601, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1598716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19341 (base 13) in base 10?\nAnswer: 48894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 12. Let v be c(0). Suppose b - v = -2*b. Let q be 22\/3 + 2\/3. Solve -5*t + b*o - 4 = 0, 3*t - 3*o - 32 = q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3 - 2 - 9*m - 1. Let d(r) = -19*r. Let u(z) = -2*d(z) + 5*w(z). Let a(j) be the first derivative of 3*j**2 - 356. Give -5*a(l) - 4*u(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 49*g**2 - 7*g - 147. What are the prime factors of r(-7)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, -0.7, 4 in ascending order.\nAnswer: -0.7, 1\/34, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.046326*-1.8\nAnswer: -0.0833868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*p + 48, 2*l - p - 117 = 2*p. Let h = l + 47. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67153322 rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 30. Let q(k) = -3*k + 40. Let z(s) = 3*q(s) + 4*w(s). Let t(h) = 15*h. Give t(j) + 5*z(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 915153 divided by -3\nAnswer: -305051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3030 - 2969.17. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 16*p**2 + 11. Let w be q(16). Let d = w + 42. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9982 + -0.0482. Let j = c + -3.05. Put j, -2\/17, -13 in descending order.\nAnswer: j, -2\/17, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 2 c when four letters picked without replacement from {z: 1, c: 2, o: 5, s: 3, g: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 132 - 68. Let b(w) = -10*w + 83. What is the tens digit of b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.85, 35, -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2513\/10580 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -105 (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let m be l(4). Let k be 5\/(-4)*-1*4. Suppose 0*q + k*q + 23 = u, -4*u + 20 = -2*q. Put m, q, -5 in decreasing order.\nAnswer: m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 286171.\nAnswer: 1430855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:13 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -9 (c) 56220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -13 + (7 - (-4 - -6)) + 10 + -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 9 + 9.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**3 + 2*y**2 + 2*y + 1. Let w be h(-1). Calculate the highest common divisor of w and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150\/59 or 0.82?\nAnswer: 150\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-91)\/(-14)*(-1 - -3). Suppose -5*v - 3*g = -27, -3*v + 5*g - y = -6*v. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Let f = 1 + -1.3. Let b = f + 0.2. What is the closest to b in -1\/6, v, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -22*g - 2. Let h(o) = -5*o + 14. Let w be h(3). Calculate the common denominator of (5\/(-155) + 0)\/((-3)\/9) and m(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*1)\/(-1) - 0. Let v = 8 + c. Suppose -3 = -r + v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - -3*-1*sqrt(75))\/(sqrt(5) + sqrt(45)*1))\/(-4*sqrt(3)*1 + sqrt(3) + sqrt(21)\/(-3*sqrt(7))))**2.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20389*j**2 - 570889*j + 59. What is k(-28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093 = 6*k - 1045 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4 + 4*n**2 - n**3 - 3*n**2 + 4*n**2 - 4*n**2 - n. Let v be b(0). Find the second derivative of -9 - 7 - 9*c + c**v + 16 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 10. Let h = 6555\/4 - 1627. Calculate the common denominator of h and 2\/(-12)*(-236)\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from {n: 3, x: 1, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.6 and 1705.162?\nAnswer: 1708.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 9, 4*h - 1594 - 1235 = -a. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 15 + -31 + (4 - 0 - 9 - 50).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16852, 16884, 16934, 17002?\n\"Answer: 9*o**2 + 5*o + 16838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 19. Let r be v(14). Solve r*b - 2*b = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 403*j + 3. Let t(r) = 78*r**2 - 4449*r + 33. What is 45*q(y) - 4*t(y)?\nAnswer: 3*y**2 - 339*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(32) - -3*(sqrt(8) - sqrt(2)).\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 201.6312 and 163079687.\nAnswer: 163079888.6312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2 - 16\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most -1485625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**2 + 6671 - 6671.\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840 (base 14) in base 5?\nAnswer: 211422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3560*u + 1018159. What is l(286)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6893 is divided by 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1593 + -0.1543. Let t = -2.705 - -2.8. Let c = j + t. What is c rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 19*n - 8*n - 2)*(9*n + 2*n + 6*n).\nAnswer: -357*n**2 - 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 1:35 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 591.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 3*y**2 - y - 2. Let t(j) = 2*j - 10. Let a be t(7). Calculate the least common multiple of w(a) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**9\/3024 + b**5\/40 - 11*b**4\/6 - b. Let t(m) be the third derivative of z(m). Find the first derivative of t(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 17*i**2 - 11*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = 5*u, 3 = 4*u - 9. Let y(d) be the first derivative of 0*d**2 - 3 + 0*d**4 - 1\/15*d**5 + 1\/9*d**3 + w*d. Suppose y(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -702, -680, -610, -474, -254, 68, 510?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sjjjss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 2*t + 1. Suppose 24*v + 5 = 25*v. Let f(n) = 3*n**2 - n + 1. Determine v*f(y) - 3*z(y).\nAnswer: -3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40076044.\nAnswer: 2, 131, 76481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83395366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100522 (base 6) in base 2?\nAnswer: 1111100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(16) + sqrt(32)\/sqrt(2)) + 0.\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9234 and 2106?\nAnswer: 120042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 3*s**2 - 4*s + 6. Suppose y = -3*y + 192. Let i = y - 29. Suppose 5*f - k - 7 = 12, 3*k = -4*f + i. Give o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -329466 divided by 43?\nAnswer: -7662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-2\/45)*(u**0)**(-7)*((u**4*u*u*u*u)\/(((u\/u**(2\/9))\/u)\/u))\/(u*u\/(u*u**0\/u))**(-2\/43) assuming u is positive.\nAnswer: u**(6037\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = -3*a + 5, 5*a + 3 = w. Suppose a = 3*s - 15. Let v(n) = -n**2 + 7*n - 4. Let d be v(s). Solve 0 = d*q - q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 46. Let h be a(-10). Suppose -19*k + 17*k + 5 = z, 0 = k + z - h. Which is greater: k or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:28 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f + 3. Suppose 4*j + f - 18 = 0. Let k = 130 - 131. What is the closest to k in j, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.5 plus 4?\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 1 g when three letters picked without replacement from pmugrpq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/4 + -3. Let s = -37 + 41. Let v = -632.6 + 632.5. What is the closest to n in v, s, 3\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2542 - -2542.13. Let g = 16 + -17.1. Let f = -0.1 - g. What is the biggest value in w, -3, f, -1\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 - 4 = 4*i, -4*u = 16. Let l = i - 1. What is the second derivative of t**2 - t**2 + t - 4*t**4 + l*t wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41627\/5 - 8326. Let n = 217\/437 - 9\/23. Which is the third biggest value? (a) -7 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 4 - (4 + (-26)\/(-4))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559953007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457262*w**5 - 88550*w**2 wrt w?\nAnswer: -27435720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2123*k - 15 = -2108*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 360\/(-990) + 11562\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (4 - (12 - 14)) - -46?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h - 16. Let f be ((3\/(-4))\/3)\/(1\/4). Let q(t) = -1. Let k(p) = f*s(p) + 4*q(p). What is the units digit of k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3\/5 (c) -0.4 (d) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4 - 1.9. Let c = i + -6. Let h = -245\/12 + 83\/4. What is the second smallest value in h, c, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147602040 divided by 36900510.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8004 - -11549. What are the prime factors of o?\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4892 = -3*a, -8156 = -5*a - 4*q + 5*q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.3, -14, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4196821075577 + 2.\nAnswer: 4196821075579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v + 152. Suppose 13*s + 36 = 19*s. Let f be o(s). Solve -f = -2*l - 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 6.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.99957t to micrograms.\nAnswer: 31999570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -29575*t - 147898. Determine r(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b + 28587 = -403471. What are the prime factors of b?\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/24 - (-4)\/6. Let q = -20.52 - -21. Let n = q - -0.02. Which is the biggest value? (a) n (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 18 + 6*u - 30.\nAnswer: 3*u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11. Let y = 328 - 326. Let g(c) = c + 11. Let r(n) = y*w(n) - 3*g(n). Give r(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5760 = 5*j - 2*a, -5*j - 2*a + 5760 = -0*a. Suppose 20*z - 448 = j. Calculate the lowest common multiple of z and 8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044581845 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278 - 279. Let b(c) = 1436*c**2 + 19*c + 1. Is b(u) 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 11893?\nAnswer: 7, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -57. Suppose 18 + 11 = k - 4*f, 0 = -4*k - f + 48. What is the highest common divisor of k and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 + 2*u - 1. Give i(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 9 = -3*u, -2*x - 2*u + 2 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvhvhhvvhvvhhvh.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/2, 1, -4\/7, 57\/4 in ascending order.\nAnswer: -4\/7, 1\/4, 1\/2, 1, 57\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -119067*u**3 - 78*u**2 + 156. Let b(l) = -10824*l**3 - 7*l**2 + 14. What is -78*b(a) + 7*c(a)?\nAnswer: 10803*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 54.9. Let d = f - 3.089. Let s = -0.029 - d. Round s to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 1. Let j be n(-6). Suppose 2*m = -2*c - 3*m - 9, -m + j = -4*c. Let y be 9 + 0 + 2\/c. Solve -2 + 0 = t + g, 2*g = t + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-150330.28.\nAnswer: -15033.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:24 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from qqqggq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - i - 234, 2*i + 0*i = 2*q - 160. Let m = -69 + q. Which is bigger: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*s + 0 = 4, 5*s - 20 = 0. Let q(y) = 2*y**2 + 10*y + 6. Let z be q(-6). What is the units digit of f\/3*z\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1113 + 1174. Calculate the remainder when y is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55b8 - 5?\nAnswer: -55bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 17*n - 66. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41132542 (base 7) to base 11.\nAnswer: 1a38127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 28900*k - 5*k**3 + 5*k**3 - 28900*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 5:33 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 + 13*f + 10. Suppose -5*w = -21*w - 96. Let d be l(w). What is the highest common factor of d and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2214 - 2000?\nAnswer: -4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 377407, 754842, 1132277, 1509712, 1887147?\n\"Answer: 377435*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from okosbekloollekl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 - 12*b**3 - 152*b**2 - 96*b + 256 = 0.\nAnswer: -4, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 322 = 394. Let f = p - -271. List the prime factors of f\/9 - 4\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-3)\/9)\/(-1))\/((-3)\/(-63)). Let z be 3*3\/(g - 4). What is the greatest common factor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 32. What is the third derivative of -15*s**2 + 6*s**4 + 5*s**4 + 0*s**2 + 4*s**q wrt s?\nAnswer: 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:32 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 0*d = -8*w - 112, -2*d - 8 + 64 = -4*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322553 - 100260. Suppose o = 5*a - 27707. What is a rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -628, -936, -1242?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -70, 404 in descending order.\nAnswer: 404, 9, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*f - 3085 + 82 = 0, t = 5*f + 1509. Suppose -355 = -13*r + t. What are the prime factors of r?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3 + a**2 + a. Suppose -4*q - 12 = 0, -q = -p + 1 + 1. What is the lowest common multiple of 1 and i(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-215)\/7) + (-16)\/(-56) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 1716778597.\nAnswer: 1716778596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 141, 76, -59, -252, -491?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235959557.\nAnswer: 3, 7, 19, 83, 37321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11340 by -3780.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -39, -40, -41, -42?\n\"Answer: -c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3, 75, 7\/3, 5, 7.5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**3*l*t**2 + 2*h**3*t**3 - 597*h**2*l*t**3 - 2*h**2*t**2 - 14*h*t**2 - 1448*l*t**3 - 84708*l*t**2 wrt t?\nAnswer: 12*h**3 - 3582*h**2*l - 8688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4 + 3*z**3 + z**2 - 3*z - 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -7, 15, 4 in increasing order.\nAnswer: -7, -5, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11609 - 7779. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -50 + 68. Let t be 210\/40*(-1 + (-118)\/r). Let y = -44 + t. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - k + 1061, -5*k - 272 = -4*w + 600. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-78))\/(580\/(-3480)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-7)*z)\/z))\/z**3*(z\/z**4)\/z**2 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -388*t + 391*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 102 = l. Let c = l - 9. Calculate the least common multiple of c and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 286 - 276 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Differentiate -4 + 5*q**a + 9 - 14*q**2 with respect to q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12443\/57760 - -6\/1805. Calculate the common denominator of -3 + (55\/(-8))\/(-5) and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-4 + 5 - -16)) + -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 74, 112, 150, 188, 226?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -1.6. Put -3, -2, s in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 1006878?\nAnswer: 2416507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 4, m: 2}. What is prob of picking 1 h and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-46)\/5*(1 - 6). Suppose 16 = 9*s + g. Sort s, 5, 0.07.\nAnswer: s, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8620925cm?\nAnswer: 0.008620925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 300*n**4 - 4800*n**3 - 32000*n**2.\nAnswer: -4*n**2*(n - 40)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6*w - 16 = -4*t, -37 = -2*w - 41*t + 31 - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96656 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, -1099, -162, 3 in decreasing order.\nAnswer: 19, 3, -4, -162, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-23))\/((-3)\/(-12)*-2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 11*c - 7*c = 18*u, -8*u - 3*c = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 11. Let d(k) = 7*k + 42. Let b be d(-6). Determine l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.3, 2.55, -1\/186, 2 in descending order.\nAnswer: 2.55, 2, 2\/15, -1\/186, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -259998*p - 14. Let d be m(7). Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*q**3*v**2 + 16*q**3 - 37*q**2*v**3 + 46*q**2 + 7*q wrt v.\nAnswer: -220*q**3*v - 111*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(-42))*7236\/(-10854).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14198 - 14121. What is the remainder when 3926 is divided by w?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414 plus 943538?\nAnswer: 942124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 9. Let n(g) = -g - 5395. What is m(n(h))?\nAnswer: 2*h + 10781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = -0, 5*h - 326 = 3*u. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at least as big as -5652.1159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = f - 9*f - 34, f + 38 = -7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/6154 + 12301\/43078. What is the second biggest value in 3, 0.4, 143, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2880)\/224)\/9 - (-234)\/154. Put t, -3\/8, 5, 1\/5, 2\/25 in decreasing order.\nAnswer: 5, 1\/5, t, 2\/25, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182481458?\nAnswer: 2, 73, 1249873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*i**2 - 27*i**2 + i + 71*i**2 - i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/28991 < 0.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, 46, 154, 260, 364, 466, 566?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 91, 87, 83, 79, 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 418122042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219339*m**3 - 262029*m**2 wrt m.\nAnswer: -1316034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.9254 weeks in hours?\nAnswer: 151019.4672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84559736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(363)) - (-3 + sqrt(363) + 0)**2 - ((sqrt(363) - (sqrt(363) + -3)) + -2 + (sqrt(363) + 2)*5))*-2.\nAnswer: -154*sqrt(3) + 754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-30))\/(1\/(-12)). Let s be -6*(27\/(-6) + x). Suppose -l + 4*l = i - 985, 0 = -s*l - 5*i - 1015. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103031201 (base 5) to base 15.\nAnswer: 8a386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2046 = 103*k - 202*k - 880 - 242 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-6) + (-1)\/4 and 146\/(-48) - 8\/(-12) - -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = -19. Suppose 2*n - n = i. What is the lowest common multiple of 10 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*u**3 - 10*u**3 + 276*u**3)*(-8*u - 3*u + 12*u).\nAnswer: 212*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 6\/(-2) + 0. Let u be (-50)\/40*(-3 - s). Suppose 3*p + 493 = 4*q, -1020 = -u*q - 2*p - 421. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (18 - 2) - -3. Let q = t + -11. Solve -q*z + z + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + p = 6*s - s - 6*s - 20, 5*p = -6*s + 144 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 14992224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(14\/9*89\/(14952\/(-288)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 347030040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0.3, 23, 1\/5, -3, 0.5 in ascending order.\nAnswer: -3, 1\/5, 0.3, 0.5, 23, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182092077*g**3 + 184517923*g wrt g.\nAnswer: 1092552462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((-12)\/13404204*9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4349?\nAnswer: 1\/4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 + 2*r - 3. Suppose -6*o - 38 - 28 = 0. Let i = 14 + o. Let b be t(i). What is the greatest common factor of 44 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:15 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 30*k = 17*k - 80. Which is the nearest to 4? (a) -0.3 (b) -1 (c) k (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -a + 3*a - 2*p, -5*a + 4*p = -31. Suppose a*l + 2*x - 389 = 0, l - 4*x - 401 = -2*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 4*y. Let o(g) = g**2. Let p(w) = -3*w + 1. Let f be p(-1). Suppose f*d + 0*d = 8. Calculate d*o(c) + v(c).\nAnswer: -c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3080 by -308.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-98)\/21)\/7)\/((-4)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 573988 and 3128?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*w - 92*w + 303*w - 104*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2)\/(4 + -5). What is the common denominator of -62\/3 and 111\/(-6)*b\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-79)\/(5530\/(-84)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2647 + -39629\/15. Find the common denominator of s and 1*(-4)\/(-34) + (-12551)\/3366.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z\/(z*z**(-25))))*z**(1\/8)\/z)**(1\/20))**(2\/15))**9 assuming z is positive.\nAnswer: z**(603\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -5*j, 0 = -2*z + z. Let b = -4 - -6. Let u(w) = 3*w**2 + 5*w**2 - b + 1 - 2*w**2 + w. Calculate u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415263659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3781000 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*d**3 + 153*d wrt d?\nAnswer: 864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*d - 20 = -104*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 53 = d + 48, -2*d = -2*a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 2. Let m be o(0). Let p = -0.06774 - 0.03226. Which is the closest to 0.2? (a) 2\/21 (b) 2\/15 (c) m (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1492807 smaller than -1492810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 215221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -0.8 (c) 8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 288105*h**3 - 935391600*h**2 - 739096488000*h.\nAnswer: 5*h*(h - 60741)*(h + 1560)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64693 or 62945?\nAnswer: 62945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/2 + 1045*c**2\/2 - 272483*c\/2 - 273529\/2 = 0?\nAnswer: -1, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*b - 68 = -2*k, -2*k + 2248 - 2252 = b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142951865 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**(-5\/6)\/h)*h*h)\/((h**6*h)\/h)*(h*h*h**(-14)*h)**(-43) assuming h is positive.\nAnswer: h**(2843\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15699*a**2*v**3 - 8*a**2*v - 527*a**2 + 191*a*v**2 - 4*a*v + 5*v - 9 wrt v.\nAnswer: -94194*a**2*v + 382*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/3*(10\/25)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 30. Let h(w) = w**3 - 6*w**2 + w + 2. List the prime factors of h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8656 - -14649. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149014010 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggagavaggav.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5473, -5614, -5721, -5776, -5761, -5658, -5449, -5116?\nAnswer: -4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-100*u**4 + 2 + 2*u + 26*u**2 + 511*u**3 + 101*u**4 - 509*u**3) to the form m*u**3 + c*u**2 + o*u + i + w*u**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*h*p*q**3 - 2*h*p*q**2 + 6*h*q**3 + 2*p*q**3 + 2*p*q - 6*q**2 - 3*q wrt q?\nAnswer: 318*h*p + 36*h + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 - 2*g**2)*(4*g**2 - g**2 - 2*g**2)*(-2*g - 3 + 3).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156 - (107 + 1)) + 92.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14069 is divided by 1977?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 + 2*g - 4. Let d be (9 + -8)\/(1\/9). Let x be 1\/((-12)\/d)*-4. What is v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 43*f**2 - 3*f - 3. Let c(k) = -3*k**3 + 43*k**2 - 4*k - 5. What is -3*c(v) + 4*q(v)?\nAnswer: 5*v**3 + 43*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365911409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 9) in base 3?\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7025.938711 - 7025.9. What is s rounded to four dps?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(800) + -2 + sqrt(500) + -1)**2.\nAnswer: -603*sqrt(5)\/10 + 41121\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-5))\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0594 plus -5085764005?\nAnswer: -5085764004.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -309052*k - 162. Let r be z(6). Let b = 2884474 + r. Round b to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:21 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(6)\/sqrt(3))**2 + 5 - sqrt(2)) - (sqrt(24) - -2*sqrt(96))\/sqrt(12).\nAnswer: -6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -60*x + 15*x + 21*x + 7 + 23*x. Let s(v) = 6*v**2 - 1. Let r be s(1). Suppose 0 = r*c + g - 30, 0 = -3*c + 3*g + 13 + 5. Give p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p**3 + p)*(-p - 2*p + p) + 2*p**4 - p**4 + p**4 + 0*p**4 + p**4 - 2*p**4 - 14*p + 21*p - 2*p**4 - 6*p.\nAnswer: -5*p**4 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6630 - 6613. Which is the closest to 5? (a) 1\/4 (b) -0.2 (c) 5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j - 5*r, 3*j - 6*r + 3*r - 15 = 0. Suppose 4*i - 10 = j. Suppose 29 = b + i. Solve -5*n + 1 = -b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n. Let t(b) be the second derivative of -b**5\/3 - 65*b**3\/3 - 38*b - 2. Let p(o) be the second derivative of t(o). Determine g(p(z)).\nAnswer: -360*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3053766016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 6. Let b(m) = -m**3 - 5*m + 13. Let j = 167 - 165. Calculate j*b(i) - 5*x(i).\nAnswer: -2*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*l - 160*l + 73*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56350527, -112701059, -169051591, -225402123, -281752655, -338103187?\nAnswer: -394453719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 163*k**6\/30 - k**4\/6 - 2*k**2 - k - 44. Find the third derivative of l(s) wrt s.\nAnswer: 3912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1295.23 + 1900.\nAnswer: 3195.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 85 - 5*q)*(-1 + 5 - 2)*(2 - 5 + 0).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 4. Let n be u(2). Let r = n + -11. Let o(w) = w**3 + 5*w**2 + 3*w + 6. Give o(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 2\/17 (c) 1\/14 (d) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 968\/9. Let r = 2.4389 - 2.1389. What is the closest to r in -2, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -188, -429, -746, -1133, -1584, -2093?\n\"Answer: u**3 - 47*u**2 - 25*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 + 3*c - 3. Let a be j(-4). Solve d + 3 = q - a, 12 = 4*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*c - 15 + 3, 20 = 5*h. Let z(v) be the first derivative of 1 + c*v + 1\/2*v**2. Let m(b) = -b**2. Calculate m(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*o**3 - 4 + 3 + 3 - 2 + 2390*o**3 + (-2*o + 0*o - o)*(-o**2 + 4 - 4) to the form l*o**3 + i*o**2 + m + g*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/5, 0.4, -29, 978, 0.3.\nAnswer: -29, -1\/5, 0.3, 0.4, 4, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcqccqqcq. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 + (-5 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1\/19, -3, -5, -0.02?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let p be l(3). Suppose -5*y = -z + 25, -4*y - 3*z = -3*y - 11. Let c be 60\/52 - (-4)\/(-26). Put y, c, p, -3 in descending order.\nAnswer: p, c, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:11 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*y - 12 - 1 - 1.\nAnswer: 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*b, 10 + 11 = 2*f - 3*b. Solve 5*o - 19 = f*s, 4*s = s - 5*o + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -24. Let s be ((-33)\/9 + 3)*l. Suppose -s*a - 12 = -3*a. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 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: Is 153 a factor of 60963309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*t = -60, 3*t - 48 = 5*i + 33. Let x be (1*i\/21)\/(6\/(-4)). Are x and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-268)\/(-4))\/1407)\/(3\/(-6)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1522 + 22052230?\nAnswer: 22054152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + n - 5*n)*(-4 + 2*n + 4) - 3*n**2 - 3*n**2 + 2*n**2 + (4*n - 5*n + 3*n)*(-2 + 2 - 2*n) to p*n**2 + y*n + v and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 91383*c + 8*c**2 - 3 + c**3 - 1 - 3*c**2.\nAnswer: c**3 + 2*c**2 - 91383*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 22) + (141 - 147)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 32*x**2 + 2. Let m(w) = -129*w**2 - 9. Determine 9*a(z) + 2*m(z).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 660851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/245*(-40)\/50.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*1 + (-477)\/48*(-16)\/156?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**7\/7560 - h**6\/2160 - 2*h**4\/3 - 4*h. Let z(y) be the third derivative of p(y). Factor z(s).\nAnswer: -s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 - 81 = 5*h, -2*o = -2*h - 34. Let f be -3*(-20)\/h - 114. Let c = -65 - f. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + n = -43, 3*n + 49 = 5*l. Calculate the remainder when 39 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 6, x: 2, a: 1}. What is prob of sequence dc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + q**4 + q**2 - 6*q**4 + q**3 + 2*q in the form h*q**3 + o*q + l + w*q**4 + j*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 7*g**2 + 9*g + 34. Calculate h(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 7*b - 7. Give m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, 23 in ascending order.\nAnswer: -4, -1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, -114200 in ascending order.\nAnswer: -114200, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t - 7. Let w(p) = -2*p + 8. Let f(m) = -3*v(m) - 2*w(m). Let z(y) = 44*y - 3*y**2 + 6*y**2 - 6 - 38*y. Determine -6*f(n) - 5*z(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 6, 40, 108, 222?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197 or 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3644 = 568*r - 1468 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7737110 to the nearest integer?\nAnswer: 2782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3\/3 - 4967315*c**2\/6 + 385535126767*c\/3 - 96383548849\/2 = 0.\nAnswer: 3\/8, 310457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 34*z - 32*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -114*2\/9*(-21)\/(-84).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4470 + 2864. What are the prime factors of n?\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 266241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412 and 688.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42249*u**2\/5 - 11652276*u + 12411\/5 = 0. Calculate u.\nAnswer: 3\/14083, 1379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -84\/37 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*s - 2*f, 5*f + 6 = -s - 1 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, -1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 40 = -0*m. Let n(u) = u - 4. Let t be n(7). Is m smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-7)\/84*98\/49*(-2)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-5)\/(20\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, 18 = b + o + 4*o. Let a = b + -10. Suppose 0 = -0*n + 2*n - a. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*b - 40, 2*l - 45 = -4*b + 3. Solve 67 = l*i - 93 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 16 = -19*z. Suppose -j = -5 + 3. Find v such that 36 + 2*v**3 - 27*v - 2*v**3 + z*v**2 - 15*v - j*v**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + ((1 - 2) + 10 - (29 - (-21 - -50)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141380 + -1?\nAnswer: 1141379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.813 + -0.023. Let y = d - 0.59. Let m = 5.4 - 1.4. Put 8, y, m in descending order.\nAnswer: 8, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**5 + m**5 + 2*m**5 - 5*m**4 + 5*m**4 - m**5 + (2*m - m + 0*m)*(-4*m**3 + 4*m**3 + 2*m**4) + m + m + 2*m**5 - 6*m**5.\nAnswer: -5*m**5 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 620*b**2 + 31315*b - 22678. Give x(-667).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 - 2*s**2 - 1000 + 1000.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34767218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 2:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1128981*m**3 + 25070687*m**2 wrt m?\nAnswer: 6773886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**3 - 11*u**2 - 31*u + 1. Let c be h(-16). Solve 24637*l**2 + 484 - c*l**2 + 372*l**3 + 16*l**4 + 1310*l + 1198*l = 0 for l.\nAnswer: -11, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 182886002?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212.0229 + 0.0229. Let m = i + 212.00087. What is m rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c**2 + 33*c + 14*c**2 + 5*c**2 + 24*c**2 in the form h*c + w + i*c**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2993279634 to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 11) to base 16.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483*j**2 + 4484*j**2 - 1517*j**2 - 1481*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 63 - -50 - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/7)\/(12\/(-64))*(-8)\/((-448)\/(-28)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**5 - 2*b**4 - 2*b**2 - 4*b. Let w(f) = -29*f**5 - 9*f**4 - 9*f**2 - 16*f. Let y(z) = -9*g(z) + 2*w(z). Find the second derivative of y(a) wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:50 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 13*q**2 - 8*q + 7. Let g(s) = s**2 - 1. Let v(l) = -a(l) - 2*g(l). Let y be v(-10). Solve 4*i = i - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111101110001000110 (base 2) to base 7\nAnswer: 21343133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(3*d + d - 6*d) + 165*d - 91*d + 59*d)*(3 + 0 - 2)*(-4*d + 3*d - 3*d)*(3 + 0 - 4).\nAnswer: 548*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3515\/(-114))\/(-37))\/(6\/9*1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471634, 471523, 471338, 471079, 470746, 470339, 469858?\nAnswer: 469303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 732\/19 (c) -7 (d) -553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.09. Let y = -0.45 + x. Which is the closest to -2\/7? (a) 1\/2 (b) y (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470366 is divided by 156780.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 4*t**5\/5 + 35*t**4\/4 + 1366*t**3\/3 + 1051. What is the third derivative of w(j) wrt j?\nAnswer: 96*j + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 330*m**3 + 663*m**2 - 332*m.\nAnswer: -m*(m - 1)**2*(m + 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2406085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 979, 1317, 1953, 2959, 4407, 6369, 8917?\nAnswer: 12123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154*r - 98*r + 101*r)*(2*r**3 - 3*r**3 - r**3) + 2*r**4 + 2*r**4 - 29*r**3 + 0*r**4 + r**4 to q*r**2 + c + v*r**4 + k*r**3 + u*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a - 5. Suppose 0 = -10*f - 10 - 60. Let b be x(f). Solve -3*d - 11 = -2*w, 0 = d - b*d - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = -115. Solve x = 5*b - 17, 0 = -7*b + 2*b + 4*x + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*d - 36 = -0*d, 0 = 5*n + 5*d - 40. Let z = 1 + n. What is the remainder when 8 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 3, u: 1, m: 4, c: 2, d: 2}. What is prob of sequence dv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*207\/(-43263))\/(((2\/1)\/(-10))\/3)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 0.2, 3\/5, -4\/5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*t + 195 = 804, -2*p = 3*t + 431. Let y = -208 - p. Solve k - 2 = -2*f, 0 = f + 5*k - y - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55020 and 11284.\nAnswer: 22173060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 4 - (-5 + 2 - -6 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaabaaabababb. Give prob of picking 1 b and 1 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 18*z**2 - 19*z - 21. Let k be (1 + 1 + 3)*(9 + -10). Let h be 103\/k - (-9)\/15 - -3. What is the remainder when 76 is divided by v(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, t: 2, y: 1, v: 4}. What is prob of sequence tvt?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 23 = -5*d - 12, 2*u + 5*d - 7 = 0. Let i be (-12)\/(-8)*28\/u. Solve -4*s - 2*r = -7*r + 14, -3*s - 5*r + i = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90252419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + 3 + -3. Let r(b) be the first derivative of 0*b**v - 3*b + 0*b**2 - 2 - 3\/5*b**5 + 0*b**4. What is the first derivative of r(h) wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9*18\/3. Suppose 0 = -3*n - 5*p + 25, 2*p + 16 = v*n + 2*n. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, 112, 92, 52, -14, -112, -248?\n\"Answer: -g**3 - g**2 + 4*g + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3628\/(-46206) + 1 + 42\/(-189). Let h = l - -1\/151. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phcyyhccccccyhhhkck. Give prob of sequence kky.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -2*k. Let h = 2 - k. Suppose 5*z - 4*z - 13 = -3*g, 0 = -5*z - h*g + 41. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 96.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8986486 divided by -74?\nAnswer: -121439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1206.117 years?\nAnswer: 12.06117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*l + 737 = 18*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -52. What is the units digit of 3*1\/(-6)*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 5\/8 (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-221*t**2 + 106*t**2 - 221*t**2)*(-t**2 - t**2 - 2*t**2)*(0 + 0 - 2) to the form c*t**4 + k*t**3 + f + h*t**2 + l*t and give c.\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1340 = -2*w + 5*g, -w = 5*g - 335. What is the greatest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrqrsrr. Give prob of sequence sr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 278. Let c = -65 - y. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611584, -611576, -611566, -611554, -611540, -611524, -611506?\nAnswer: -611486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - a**2 + 16*a**2 + 9*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(((sqrt(55) - -1*sqrt(55)) + sqrt(55))\/sqrt(11) - sqrt(5)) - (sqrt(2299) + (-2*sqrt(2299))**2 + 1).\nAnswer: -9197 - 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*n + 23, -2*m - 62*n = -67*n - 22. Let p = 0.1 + -2.1. Which is the closest to -1? (a) p (b) -4 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/240 and 79\/1451292.\nAnswer: 29025840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 3*d = -60, 2*u - 58*d - 44 = -62*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 77*p + 30*p - 5984 = -62*p for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204.54 - -202. Let z = v - -0.54. What is the third biggest value in -1\/2, 4\/7, z, 5\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7254\nAnswer: -7\/7254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 280279819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 + 19*o**3\/3 + 35*o**2\/3 + 17*o\/3.\nAnswer: o*(o + 1)**2*(o + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-2 + (2 - -1))) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20147780971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15954 - -15955. Which is the smallest value? (a) 3 (b) -14 (c) 6 (d) -3 (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {j: 7, u: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21220 (base 6) to base 4.\nAnswer: 231030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 35 - 179. Let w = o + -21. List the prime factors of 10\/4*12\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73181 + 1785 = -13*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 9*n - 31*n + (0*n - 2*n + 3*n)*(2 + 0 - 4) + 3 - 3 - n)*(-5 + 1 - 4).\nAnswer: 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 - 4280*r**3\/7 + 2272616*r**2\/7 + 18386880*r\/7 + 36911232\/7.\nAnswer: 2*(r - 1074)**2*(r + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*p - 6, 0*p - 2*p - j = -3. Suppose -o = -4*o + p. Suppose -2*w = -w - 1. Are o and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((1*sqrt(392))\/sqrt(7) - sqrt(56))\/(4*sqrt(512) - sqrt(512) - sqrt(512)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 2, -1\/5, 1 in increasing order.\nAnswer: -1\/5, -0.12, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 2, 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*y**3 - 329*y + 329*y.\nAnswer: 212*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -33, -67, -113, -171, -241?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 246*m + 9 - 3 + 323*m to t*m + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.567 bigger than 7\/4957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61958 + 6*f - f - 4*f**3 - 61956 to k*f**3 + o*f**2 + v + l*f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 4. Let h(s) = 2*s + 3. Let x(c) = -4*h(c) + 3*y(c). Let l(w) be the second derivative of w**3\/3 + 6*w. Determine x(l(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.04, 0.4, 1570, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -2e96?\nAnswer: -2e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1\/2, 0.1, -5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/4 + 5*f**3\/2 - 6*f**2 + 16*f. Factor x(n).\nAnswer: -3*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -0.6. Let h = 2.4 - 8.9. Let b = -6 - h. What is the biggest value in -0.5, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 2. Let r be g(-7). Let i be ((-1)\/r)\/((-6)\/(-16)). Sort i, -0.1, 0.5 in ascending order.\nAnswer: -0.1, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38862068 a multiple of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057808116 to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9739333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3080 divided by 346\nAnswer: 1540\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 3, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 + -644. Solve s = -2*s + 15, t*s = 2*j + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4))\/(g**(-2\/5)*g*g)*(g*g**(-2\/11)*g)\/(g*g**(3\/11)) assuming g is positive.\nAnswer: g**(-223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*x - 1213*x - 222 = -84 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -499270 divided by -9\nAnswer: 499270\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcpf when four letters picked without replacement from cbcbcbccbfffcpzc?\nAnswer: 1\/2080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 131*n**2 - 2590*n - 17640. Let i(v) = v**3 + 65*v**2 + 1293*v + 8820. Let x(u) = 14*i(u) + 6*s(u). Factor x(z).\nAnswer: 2*(z + 20)*(z + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3077107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -n - 2548, -5*n + 852 = r - 6*n. Let u = 1464 - r. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 c, and 2 i when four letters picked without replacement from ioivccccojcojfjvjoc.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 20 + 10*a**2 + 7*a - 8 - 9*a**2. Suppose 0 = -2*i + 3*r - 1, 0*i + 4*r = -i - 17. Give d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/(20\/180)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/68 and 53\/9322252?\nAnswer: 158478284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 8*z**2 + 10*z + 51. Let x be k(-4). Suppose -13*q + x = -448. Sort q, 1, -4, 2 in decreasing order.\nAnswer: q, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 1 - (-21 - -10). Let p be (-3 + x)\/2 + -3. Find the third derivative of -t**2 + 3*t**2 - p*t**3 + t**2 + 0*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {u: 1, p: 2, g: 2, c: 6, l: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*j + 57 = 2*j, t - 19 = -4*j. Suppose 5*h - 11 = t. Solve 4*b - h = 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 289\/(-104) + -3*(2 + -3) and 15\/6*(-1)\/(-8)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144663948 by -1011636.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 7*p**3 - 4*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17612916 divided by -74631\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 136\/3? (a) -0.4 (b) -0.061 (c) 4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -265540 or -265593?\nAnswer: -265540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 977 and 4?\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 10216562?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 - k. Let h be d(-1). Suppose h = 2*i - i - 2. Solve -5*w + 3*w = -i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5 + 15*n**4 + 261*n**3 - 51*n**2 - 726*n + 504 = 0.\nAnswer: -7, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + 7 - -2 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 11:58 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -13000 greater than -13002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/20 - d**4\/3 - 2*d**3\/3 - 4*d**2 + 9*d. What is k(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 9010\/318 - 28\/30.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.3. Let c = -0.18 + 0.03. Let x = c + -2.85. What is the nearest to b in -1\/11, x, -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.222 - 1509.6574399\nAnswer: -1504.4354399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-6)\/9. Let g be (-2)\/(-1) - (-1 - f). Let z = -1 - -2. Solve -d - g = -z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 72?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181867*z - 181866*z + 17 = -2*r, 5*z = -2*r - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/(-18) + -2)\/(-1). Let p = 1 - 0.9. Let o = p + -0.2. Which is the nearest to -1\/4? (a) o (b) r (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 3 + (-4 - (-23 - -16 - -26))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 462115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 3 = 34*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1245 + -590. Suppose -z - 21 = 2*a. What is the tens digit of (-3)\/12 + a\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 15 = 11*s - 8*s, 0 = 2*f + s + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 - 4*y - 5. Let j be l(5). Let k(g) = 94*g + 1704. Let f be k(-18). Let q(c) = c + 3. Let n be q(-3). Solve j = 4*r - n + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-20) - 4\/10. Let z(v) = v**2 + 3*v + 3. Let t(g) = -3*g + 16. Let c be t(6). Let b be z(c). What is the second biggest value in r, b, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2646936 and 8717.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 132\/5 (b) -0.3 (c) -25 (d) -3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/12 (b) 0.2 (c) -3 (d) -5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71985 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 14918303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4, -490*d + 486*d + 4*h + 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17 = 3*m, d - 6*d = 4*m + 8. Let n be (11 - 6)*-1 + 3. Let z be 14\/6 - ((-7)\/(-3) + n). Sort z, m, 3 in decreasing order.\nAnswer: 3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10255, 19823, 29391, 38959, 48527, 58095?\nAnswer: 67663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 + -390. Put g, -3, 18 in increasing order.\nAnswer: -3, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338469021 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: Which is smaller: 3196 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 5, r: 3, y: 2}. Give prob of picking 2 f and 2 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 - 4*b**4 + 0*b**4)*(-23*b - 73*b - 149*b - 121*b).\nAnswer: -366*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 7\/6*n - 1\/3*n**2 + 5\/6*n**4 - 1\/2 + 1\/6*n**5.\nAnswer: (n - 1)*(n + 1)**3*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60261 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -30\/13, 6\/11, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*t - 509 - 9360 = 0 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.07, -0.05, -4\/111, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 328420*v + 2627370. Determine a(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204 minus -112055?\nAnswer: 100851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**5 + 10*r**4 - r**3 - 8*r**2 + 7*r. Let h(z) = -z**4 - z**3 - z - 1. Let t(p) = h(p) + n(p). Suppose t(x) = 0. Calculate x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 3. Let t be q(-3). Suppose 0 = 2*f - 3*f + 2*u + 11, t = -5*f - 2*u + 19. Solve -2 = f*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7456, 29678, 66702, 118522, 185132, 266526, 362698?\n\"Answer: -l**3 + 7407*l**2 + 8*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 56. Let w be (-34)\/((2 + -3)*2). Suppose -6*o + u = -w. Calculate the highest common factor of 40 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 12) in base 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btflbffljfljbb. Give prob of picking 1 t and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {y: 1, i: 3, z: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39655 and 7931.\nAnswer: 39655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(20\/7))\/w)\/(w\/w**(2\/17))*w**(1\/6)*w**(-8\/5)\/w assuming w is positive.\nAnswer: w**(-22037\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3 + o**2 + o**2 - 5*o + o**2 - 2*o**2. Calculate l(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4) + (sqrt(40)\/sqrt(2))\/sqrt(5) - sqrt(12)\/sqrt(3)*-5)\/((sqrt(1936)*-2)\/sqrt(8)).\nAnswer: 35*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 21 = -8*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49.9 * -93508\nAnswer: -4666049.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (119\/(-7))\/((-8)\/(144\/(-18)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-25*6619\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.86*0.3\nAnswer: 14.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0493 + 0.049298455. Round x to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (97 - 43)*20*(-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-805))\/((-106)\/(-14) - 8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - -1) + -14 + 7. Solve 7 = -j + 4*r, 2 = j - r - t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.96 - -0.04. Let z = u - 15. Let o = z + 10.002. Round o to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.31. Which is the third smallest value? (a) k (b) -1\/8 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*l = -155*l + 3022005. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 60*l**3 - 3*l**2 - 9*l - 8. Let u be f(-3). Let y = -333739\/205 - u. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1163749\/40 + 29092. Find the common denominator of p and 14\/475.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + -10 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h - 16 + 26 + 14*h - 10.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33 - 530\/(-110). Let w(u) = -u**3 + 3*u**2 + 10*u + 4. What is the remainder when 4 is divided by w(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 2. Let o(r) = r**2 + 5*r - 53. What is o(l) - 4*q(l)?\nAnswer: l**2 + l - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 + 2 - (-20 - -10)) - 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 2 - 27544*y**3 - 3096*y**3 + 3*y - 5*y**2.\nAnswer: -30640*y**3 - 5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*z + 1071, -4*s - 5*z = -0*s - 2143. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147152 (base 11) in base 6?\nAnswer: -4524410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094533 to six decimal places.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.755 * -9.872.\nAnswer: 27.19736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130908, -130972, -131170, -131574, -132256, -133288?\nAnswer: -134742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 947.892 meters?\nAnswer: 947892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181596267*h**3 - 639*h - 21514 wrt h.\nAnswer: -1089577602*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -7*z - 36, -16*z - 3 = -17*z + 2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228367*a**4 - 411340*a?\nAnswer: 2740404*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4baa4 (base 14) to base 12.\nAnswer: 8b740","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 259. What is the second biggest value in 0.4, -2\/13, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 369 and 3.\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 985290 and 985477 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3185*i - 3259*i + 719576. Does 68 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 5\/2, 1\/46, -2 in decreasing order.\nAnswer: 5\/2, 3\/2, 1\/46, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553025, -1106046, -1659067?\nAnswer: -2212088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 284*z**2 - 10*z + 4. Is w(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200002203 (base 4) to base 12.\nAnswer: 63b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -279, 1, -3, 56 in descending order.\nAnswer: 56, 4, 1, -3, -5, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)\/t)\/t**(-5\/8)*(t**(5\/14)\/t*t*t)\/t**(3\/2))**(8\/5) assuming t is positive.\nAnswer: t**(-431\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -184?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 65793348. Let y = k + -14931116. What is y rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2*h**5\/15 + 23*h**4\/24 - 8*h**3 + 21. Let r(t) be the third derivative of z(t). Differentiate r(f) with respect to f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 45*b = -36*b + 200 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302783.\nAnswer: 13, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170620*z**5 - 150883*z**2 wrt z?\nAnswer: -10237200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/140)\/((-30)\/75).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.6, -12, 1, 2.72, -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 10:53 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6533 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 2. Let n(x) = x**2 - 3*x + 3. Let f(i) = 3*i + 2. Let y be f(2). Suppose 8 - 56 = -12*j. Suppose -7*s = -y*s - j. Determine s*n(u) + 6*p(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 - -520. Let c = -48171 + 48233. What is the remainder when f is divided by c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksksssskksks. What is prob of sequence ss?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26528, -26912, -27296?\n\"Answer: -384*l - 26144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**11*o**(-6\/7)*o**17*(o\/o**(7\/4))\/o assuming o is positive.\nAnswer: o**(151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (92\/(-20) - -4) + ((-4032)\/5)\/(-14). Suppose 0*s - 4*s - 4 = -c, 2*c + 4 = -4*s. Is 21 a factor of y - (0 - -3)*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j - 2*j - 3*j + (0 + 0 - 3)*(j - 3 + 3) + 10*j - 4*j - 17*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 7*h + 6. Let x be q(-7). Let g be 3 + x\/2 + 1. Let u(z) = z**3 - 5*z**2 + 4*z - 5. Is u(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186140 rounded to the nearest one thousand?\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 558064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.6 + 362.6. Let i = v + -336.9. Let q = -0.52 + 0.12. Which is the closest to -1? (a) 0.3 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -519, -493, -465, -435, -403, -369?\n\"Answer: a**2 + 23*a - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255522893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i. Let m be (2\/(-3))\/((-12)\/(-90)). Let b be y(m). Differentiate -b + 6*z**3 + 3 + 8 with respect to z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-357)*(-21)\/15*-1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3891 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-381)*((-10)\/440*-33)\/((-30)\/(-16)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42221.\nAnswer: 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -70, 71, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1 + 1)*(116*c - 27*c + 33*c).\nAnswer: -122*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**6*u - 1200*n**4*u**3 + 471*n**2*u - 2*n - 7*u**3 - 2*u wrt n.\nAnswer: 240*n**3*u - 28800*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22957.22 hours in milliseconds?\nAnswer: 82645992000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5145 greater than or equal to -5086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (60*3\/(-24))\/((-5)\/10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose 2*x = -3*o + 49, -o + t*x + 69 = 2*o. What is the remainder when o is divided by (-1)\/((3\/7)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**2 - 16*a - 5 = 0.\nAnswer: -5\/6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**5\/12 + 2*i**3\/3 - 3*i**2. Let c(k) = -6*k**2 - 1. Let o(s) = -9*c(s) - 2*h(s). Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvzoozvh. Give prob of picking 1 v and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/4 + 1328\/32. What is the highest common divisor of 11603 and v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*i + 2*t + 3*t, 3*i = -t - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -117, -228, -339, -450?\n\"Answer: -111*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 4)\/(7\/(-1)). Let w = 0.0079 - 213.0079. Let f = w + 218. What is the third smallest value in f, x, 1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4575 by -915.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -64 (c) -3549\/218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*f**4 - 5*f**4 + 363*f**4)*(1 - 6 + 2) + (-4*f + 5*f - 2*f)*(-f**3 + 2*f**3 - 2*f**3).\nAnswer: -920*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 7981*g**2 + 405068*g + 5059340.\nAnswer: (g + 22)*(g + 29)*(g + 7930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*w**2*y*z - 96*u*w*y*z - u*w + 2*u*y - 2*u*z - 59*y with respect to w.\nAnswer: 4*u*w*y*z - 96*u*y*z - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 10*m**2 - 8*m + 83. What is t(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1462568*i**3*l*z + 74*i**3*z - 51*i**3 + 2*i**2*l*z + 280*i*z wrt l.\nAnswer: -1462568*i**3*z + 2*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233\/((-293813)\/(-1164))*(-33)\/9*(-234)\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37327\/672 - -1807\/32. Calculate the common denominator of t and 47\/36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17.66373 millennia?\nAnswer: 17663.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120737*m**2 - 30184*m**2 - 30185*m**2 + 5 - 30187*m**2 - 14 - 30180*m**2.\nAnswer: m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(486) + sqrt(6))*6 + (2*sqrt(405) - sqrt(405) - ((sqrt(105)\/sqrt(3))\/sqrt(7) + sqrt(5))) + -4)*-6)**2.\nAnswer: -10944*sqrt(5)\/5 + 54864\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-85*p + 173*p + 46*p - 1 - p + 1 + (2*p - 3*p - p)*(-1 + 1 - 2)) + (1 + 1 - 1)*(-5*p + 11*p + 3*p).\nAnswer: -265*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -631 + 624. Let i(p) = 5*p**2 + p + 15. Let u(w) = 11*w**2 + w + 29. Let b(a) = -13*i(a) + 6*u(a). Calculate the remainder when b(m) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 2*y - 2*y + (4 - 2 - 3)*(-1 + 2*y**3 + 1) + (-8*y + 8*y - 3*y**2)*(-7*y + 3*y - 2*y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:58 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33322 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 142477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 43*q - 24. Let g be a(-13). Let y = g + -120. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/2 + 3*k**2\/2 + 14. Find the second derivative of t(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72) + sqrt(72)*2 + sqrt(72))*-6)\/sqrt(12))\/(sqrt(48) - (sqrt(1728) + sqrt(1728)*-3 + sqrt(1728))))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 4*sqrt(13) - sqrt(13)))**2*1 - (((5*sqrt(156))\/sqrt(4))\/sqrt(3) + 1).\nAnswer: 91*sqrt(13) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48361 is divided by 190?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/10 + 232*x**3\/15 + 756*x**2 + 46656*x\/5 - 5756. Factor z(r).\nAnswer: 2*(r + 8)*(r + 54)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 119952 and 13.009.\nAnswer: 119965.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306*c - 255*c + 55*c)*(2*c**4 - c**4 - 4*c**4 + (5*c**3 - 3*c**3 - 3*c**3)*(-c + 2 - 2) + 3*c**4 - 4*c**4 + 7*c**4).\nAnswer: -2024*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0 + 1\/2*j**2 + j + 1\/24*j**4 + 0*j**3. Let c(a) be the first derivative of d(a). Let z(y) = -2*y. Give c(z(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 7*n - 2*h - 68, 5*h + 110 = 3*n. Solve -2*x - 4*c + n = -9*c, -4 = c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*v - 14, 0 = 2*t - v - 4 + 2. Let o be (((-12)\/5)\/2)\/(28722\/(-191480)). Solve -o*c - t = -26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - (2 + sqrt(605))) + sqrt(5))*-1)**2.\nAnswer: 36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 14*x**2 + 11*x - 24. Let l be q(-13). Find the third derivative of 2*a**l + 13*a**5 - a**5 + 20*a + 25*a**5 + 11*a wrt a.\nAnswer: 2220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-6 + -9 - -11) + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 2*i - 5*i. Suppose s = -5*f + 26, -4*s + 8 + i = 2*f. Let p = s + -11. Solve p*x + 25 = 3*d + d, -15 = 3*x + 2*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*w + 19 = -2*w, -5*x + 7 = w. What is the first derivative of -2*l + 2*l - 5*l + 4 + x*l wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.4 + 7. Which is the second biggest value? (a) u (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -695 + 1016. Let o = -105 + m. What is the greatest common divisor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1180574*k - 1320314?\nAnswer: 1180574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j - 2*j**2)*(0 + 4 - 2) + 1 - 1 - 3*j**2 + 6*j**2 - 3*j**2 - 2*j**2 + (0*j - j + 3*j)*(-20 + 20 + 10*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 138d - 3?\nAnswer: 138a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:53 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 + 3)*-6. Suppose h*v = 6*v. Suppose -s - f + 3 = 8, v = -f - 2. Put 2, -1, s in increasing order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15950 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3637895.6 and -0.5.\nAnswer: 3637895.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -96) + (-16 - (-1 + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-6)\/(36\/40*(-65)\/(-13)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37980 and 43972400?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 16*b = 0. Suppose -3*t - 6 = -0*t - 5*y, b = -3*y + 9. Suppose 3*n - t*i = 0, 4 = 3*i - 5. Solve -f + 35 = -6*f + n*w, -16 = -f - 4*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:16 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*j + 7, 0 = -44*j + 39*j + 2*g - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxhc when four letters picked without replacement from {c: 1, n: 2, x: 7, h: 4, b: 2}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**9\/756 - h**8\/210 + h**6\/45 + h**5\/30 - 11*h**3\/6 - 2*h**2. Let k(a) be the first derivative of o(a). Factor k(s).\nAnswer: -4*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 1, b: 3, v: 3, q: 5}. Give prob of sequence bkqb.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -11351551?\nAnswer: 11352013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 3*r - 7*n, -79*r + 77*r + n - 17 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 178 (b) 0 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/60 + h**4\/12 - 13*h**2. Let l be w(2). Let u = -2 - -2. Solve 3*z + l*z - 9 = u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w - 10. Let c(x) = x**2 + x + 2. Let f(m) = -5*m + 3*m + 2 + 2*m**2 + 4*m + 2. Determine w*c(s) + 2*f(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-10)\/80*4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 1 r when three letters picked without replacement from {r: 1, d: 1, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**6 - 370*s**5 + 2*s**2 - 15*s - 25 wrt s?\nAnswer: 360*s**3 - 22200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -2\/23873?\nAnswer: -2\/23873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 28, 76, 146, 238, 352?\n\"Answer: 11*c**2 - 7*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -159*o + 1549. Calculate q(11).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j - 2. Let c be q(-2). Let r be (-1)\/(c\/10*-1). Is r >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/2 - 53\/6. Let j = 0.4 - 0.4. Let k = -0.5 - j. Put -2, k, l in ascending order.\nAnswer: -2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362903205 rounded to the nearest one million?\nAnswer: 4363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -4 (b) -120 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -9*s**2\/2 + s - 453. Let n(t) be the third derivative of -t**4\/12 + 22*t**2. What is n(u(d))?\nAnswer: 18*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 591.2249 millilitres?\nAnswer: 0.5912249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/8))\/r*r*r*r**(-3\/5))**(-3\/44) assuming r is positive.\nAnswer: r**(-183\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 28*s. Let q(o) = -2*o. Let v(a) = -2*f(a) - 12*q(a). Suppose -3*n = -g - 5, n + g = -g + 4. Let w(m) = m**n + 13*m - 13*m. Determine w(v(r)).\nAnswer: 1024*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5754792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 3*s**2 - 3*s**2)*(6 - 26*s - 6) + 17*s**4 - 13*s**4 + 16*s**4.\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6 - 0)*(-96)\/108 - -1. Suppose -4*v - 209 = c, 0 = -3*c - 5*v + 107 - 727. Let t = c - -3281\/16. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 700465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34580.7 rounded to the nearest 100?\nAnswer: -34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8377 + 2055 + 189 = 606*a + 5987 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31853484 to the nearest integer?\nAnswer: 5644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62063?\nAnswer: 53, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143576168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 18 = 20*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 26*x**2 + 13. Let l be f(29). Let d = l - -8239. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8 + 1)*6. Let s(d) be the first derivative of 7\/3*d**l - 1 + d - 1\/2*d**2. Determine s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*o**3*y**2 - j**3*o**3 - 3*j**3*o**2*y + 5*j**3*o**2 + 2*j**2*o*y**2 + 2*j**2*y**2 + 6028*o**3 wrt o?\nAnswer: -12*j**3*y**2 - 6*j**3 + 36168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*q - 14 + 6, 2*q - 8 = 0. Let o(c) = c - 4*c**2 + 15 - c**2 + 3*c**2 + c**2. Calculate the remainder when 44 is divided by o(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029922122 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -7, -20, -39?\n\"Answer: -3*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1322628 to four decimal places.\nAnswer: 0.1323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3\/40*t**5 + 0*t - 3\/4*t**2 - t**3 + 1 - 15\/32*t**4. Find r such that i(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 195410, 196869, 199300, 202703, 207078?\n\"Answer: 486*u**2 + u + 194923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 10*k**2 + 2*k + 20. Let v be x(-10). Let n be 2 + v + 1 + (-6 - -6). Factor 0 + 0*r - 2\/5*r**n + 2\/5*r**2.\nAnswer: -2*r**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34))\/((-2)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5255, -8108, -10961?\nAnswer: -13814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 35*l**2 - l + 1. Let f be x(1). Let i be 24\/14 - (-10)\/f. Let s(d) = 28*d**2 - 1 - 30*d**i + 1. Let a(t) = 7*t**2. Give a(s(n)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k + 5. Let b(i) = -3*i**2 - 15*i - 16. Let w(o) = 2*b(o) + 7*l(o). Suppose 0*s + s + 3 = 0. Let v be 32\/12*s\/2. What is w(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -139724, -6, 4 in increasing order.\nAnswer: -139724, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 3, z: 3, e: 2, g: 1, f: 2, u: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.00054. What is m rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33249775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3972, 6229, 9990, 15255, 22024?\nAnswer: 30297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 64608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/103848 and -37\/77886.\nAnswer: 311544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 - 0.02. Let y = -1.3 + n. Suppose -2*g + 4*s - 28 = 0, 5*s = g + g + 33. What is the second smallest value in y, g, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-25)\/(-4)))\/((-8)\/20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 48 - 52 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/12)\/7*-2*-4*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 0*q**2 + 0*q**2 - 3*q**2 + 0*q + 4*q - 2. Let z be o(2). Suppose -d + 8*d**2 + 5*d - 2*d**3 - z*d**2 = 0. Calculate d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: e9606 (base 15) to base 5\nAnswer: 142143411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089894264 take away -28?\nAnswer: -1089894236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1574 - 1561. What is the remainder when 1078 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38426 + 35981.7. Round r to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*l - 6880 = -2800 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6598 - 6581. Which is the nearest to -3? (a) 0.3 (b) 0.5 (c) m (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + 505621?\nAnswer: 505641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 59436.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 301477 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/40 + r**3\/6 + 3*r**2. Let v be z(-1). Let x(w) = -9*w**3 - w**2 + 1. Let j be x(-1). Solve -3 = -v*s + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/3)\/(s**(-2\/23)*s)*(s**(1\/2)\/s)**(-15\/4))**34 assuming s is positive.\nAnswer: s**(21539\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 633246959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/60 - 2*s**5\/15 - s**4\/12 + 2*s**3\/3 + 4*s**2. Let n be c(6). What are the prime factors of ((-6)\/(-4))\/(6\/n)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/8 - 3)*56\/1. Let i = 205 - -90. Suppose -i = -4*h + 489. Calculate the greatest common divisor of h and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-147)\/(-14))\/(2\/(-4)). Let h = c + 36. Let a be h\/10*12\/(-9). Sort 0, a, 3 in decreasing order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3208*q + 2698*q - 152*q = 258930 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89450 - 90495 + 3*p**3 + 179945.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1205*m**2 + 14477*m - 219. Determine r(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2) - 6 - 1. Suppose 9*i + 32 = 13*i. Let t = r + i. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994111080 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in 0.4, -0.3, -973?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1015, 1535, 2053, 2569, 3083, 3595?\n\"Answer: -u**2 + 523*u + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Add together 810.54 and -5.\nAnswer: 805.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*l + 1429 = -1270 - 87 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (-16)\/(-12))*(-18)\/5. Let t be 1104\/(-20)*(-100)\/i. Suppose -k - t = -4*p - 3*k, 4*p - 928 = 2*k. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a - 1. Let j be m(-5). Suppose -4*c + 2 + 11 = -f, 2*f = j*c - 10. Solve y + o = 5*o - 11, c*y - 2*o - 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 8*l**2 - 15*l - 4. Let z be r(-5). Let h = -9.3 - -8.3. Let n = -0.943 + -0.057. Which is the closest to h? (a) -0.3 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.69 + 0.31. Let p = -100 + w. Let h = -65.29 - p. What is h rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 13.5. Let t = 8 - j. Which is the third biggest value? (a) t (b) 2\/9 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.3 + -8. Let t = y + -2.3. Suppose -4*s = -5*s. What is the third smallest value in 2, t, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*b + 3*j = -170*b - 28, -j = -9*b - 39 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0.5, -2126.4.\nAnswer: -2126.4, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 149*j**2 + 6 + 3 - j**3 - 14.\nAnswer: -j**3 + 149*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06563 + -0.93437. What is the smallest value in 5, m, -0.072?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 - 5*i - 8. Let y be k(-7). Let p = y - -22. Solve 0*n + 3*n + 12 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - m**2 + 2*m**2 + (-429*m**2 + 4064 - 4064)*(4 + 0 - 3).\nAnswer: -431*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*v + 29*v + f - 37, 0 = -2*v - 4*f - 48 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 212*m + 11920\/3.\nAnswer: 2*(m + 20)*(m + 298)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-6)*1\/5*9630\/5350?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxxwwxwwwxxw. Give prob of picking 2 x and 2 w.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*o + 20*o + 10800 = -119*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjkppvw. Give prob of sequence wjgk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svfjvgasj. What is prob of picking 1 s and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 20.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -8*z. Let h = -2 - z. Suppose 0 = o - 0*v - 4*v - 12, -h*v - 76 = -4*o. Calculate the lowest common multiple of o and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 11. Calculate d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - d - 4 = 0, 14*k - 5*d - 14 = 11*k. Solve k*c + 2*x = 0, 0 = -4*c - 3*x - x - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 - (-31 - (22 + -44 + 24))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) 14\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/414, 3\/8, -33?\nAnswer: 19\/414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4822.04 to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*p + 14569 = 0, 19*p + 14545 = -2*k + 14*p. Round k to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.2362 to 1 decimal place.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*w + 20, 5 = 4*q - 3*w - 13. Suppose d + 2*i = q*d, 0 = d - 2*i. Solve -5*s - 10 = -d*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -5, 0 in descending order.\nAnswer: 135, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*i + 53, 24 + 14 = 2*m - 25356*i + 25352*i for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.19 (b) -9 (c) 8 (d) 12.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5131)\/(-98) + 13 - (1 + 1). Let u be 765\/35 + 1 + 0. Let s = u - q. Calculate the common denominator of -5\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103434 (base 5) to base 4\nAnswer: 10230230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1136c - -8?\nAnswer: 11377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:51 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t + 28. Let n(a) = -8*a + 1. Let q(b) be the third derivative of -b**4\/12 - 5*b**2. Calculate t*q(d) + 2*n(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 75 = -87. Solve 8 = 2*b - 2*w, u*w + 22 + 0 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 993746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4401, -4399, -4395, -4389, -4381?\n\"Answer: f**2 - f - 4401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/10*27895\/(-7173).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 9152, 40 in ascending order.\nAnswer: -15, 40, 9152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6*o - 7. Let n(a) = -a**2 + 12*a + 3. Let k be n(12). Let r(z) = o*z**2 - k*z**2 + z**2. Let q(y) = 2*y**2. What is q(r(u))?\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2485*p + 122347 - 13007 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*m + 9114*m**2 + m + 15*m + 13*m + m + m**2 - m + 0*m**2 + m**2 - 2*m**2 + (-5*m + m + 2*m)*(0*m + 2*m - m).\nAnswer: 9112*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 3:22 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2022744\/1649 = 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (1*sqrt(68) + 0 - sqrt(68)) + -1 + 3*(sqrt(68) + (-1 + sqrt(68))*5))*-2)**2.\nAnswer: -3168*sqrt(17) + 88612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783681 divided by -1783681?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 h, and 1 s when four letters picked without replacement from yhhysyhyyhhshsyhys.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:34 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9687.35 nanometers to centimeters.\nAnswer: 0.000968735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -669 + 669.331. Let q = 0.301 - t. Is -11 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103443, 103258, 103073, 102888, 102703, 102518?\n\"Answer: -185*u + 103628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -897, -2 in ascending order.\nAnswer: -897, -2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, and 2 w when four letters picked without replacement from {p: 2, e: 1, w: 3, y: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 84*l**3 - 42*l + 18*l**3 + 19*l.\nAnswer: 102*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajaajjjjjjjjjjaj. What is prob of picking 3 j?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154398.57033 rounded to the nearest one hundred?\nAnswer: 154400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.1. Sort -2\/11, q, -0.2, 3 in ascending order.\nAnswer: -0.2, -2\/11, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1c?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 + 29*r + 94. What is the thousands digit of g(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 125, 519, 1277, 2519, 4365?\nAnswer: 6935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 - 141. Let b(r) = -4*r - 27. What is the remainder when f is divided by b(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*s + 44*s + 42*s + 41*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2214 and 3?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - 5) + 134 + -120?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1\/9, -2\/3, -52\/177 in decreasing order.\nAnswer: 1\/9, -52\/177, -2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/760)\/(200\/100).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1219, -1, 1133.\nAnswer: -1219, -1, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5026*u**4 - 15*u - 281 wrt u.\nAnswer: 60312*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/12)\/((-284)\/426)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*h = -10, 5*h = 3*l - 528 + 507 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 2*f**4 + 63*f**3 - 2*f - 53*f**3 + f**4 to the form p*f**3 + i*f**2 + k + c*f**4 + m*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2. Let f(w) = -w - 1665466. Determine f(i(g)).\nAnswer: -12*g**2 - 1665466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 + 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 7, z: 3, h: 1}. Give prob of picking 1 z, 1 h, and 1 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 22*i**2 + 14*i - 5. Let q be o(11). Let l = q + -95. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*u + 3398788, 3*u = -2923*z + 2924*z - 849673. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4047*m**3 + 29 + 22*m + 4041*m**3 - 29 in the form f*m**2 + w*m**3 + g*m + v and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(((-3)\/12)\/(5\/(-12))))\/1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-279))\/(82\/(-16605)*-45).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 100103?\nAnswer: 100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1373 + 814. Let a = x - -1172. List the prime factors of a.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -17*d + 296. Is 27 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137376 and 4536?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -5 - -3)*(0 - -1). Suppose 12*j - 45 = m*j. Solve -4*z = v - 5*v - 4, -j*z + 13 = -3*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5616, -5613, -5606, -5595, -5580?\n\"Answer: 2*q**2 - 3*q - 5615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -27*b**2 - 10*b + 35. Give k(3).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15663 (b) -2\/17 (c) 0.5 (d) -5 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 119 = -4*q + c, 4*q - 3*c = 113. Let h be (-14)\/3 + (1 - q)\/(-7). What is the nearest to h in 0, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*d - 3*t - 8, -2*t = 2*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 10. Let t be (-21)\/(-7) - (-2)\/2. Suppose 61 = t*g - 5*x, -2*g = g - 4*x - 47. Is s(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1306, 2591, 3876?\n\"Answer: 1285*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - -215. Suppose 0 = -5*q + m + 328. What are the prime factors of (-266)\/3*(q\/(-10))\/9?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1846)\/(-65) - (-4)\/(-10). Let i = w + 0. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52188 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4236458 (base 9) to base 15.\nAnswer: 2ec14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 462.9246 + 0.0754. Let z = -458 + s. Let c = 0.2 + -0.7. What is the third smallest value in z, -4, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421801567.\nAnswer: 41, 163, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1905.5 - -1906. What is the third biggest value in v, -45, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8\/9*h**4 - 8\/9*h**2 + 0 - 2\/9*h**5 - 4\/3*h**3 - 2\/9*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(19)*4.\nAnswer: -16*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = -5*w + 3*h, -w = -h - h - 296. Suppose 0 = 3*u - w + 36. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 50. Let v(n) = -8*n + 82. Let k be v(6). Let u = k - q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 3*a = 318. Let g = 29 - 1. What is the remainder when a is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.2 - -118.\nAnswer: 110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(-45))\/(2\/(-33)). Suppose -l - d = -2*l. Calculate the least common multiple of 42 and l.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/6 + 7*n. Let l(p) = -2*p**2. Give c(l(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 9*x + 7. Suppose 0*b = 2*b - 12. Let u(f) = f**2 - 3*f - 8. Let h be u(b). Let w be o(h). Is w not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 14*r**2 - 10*r + 18. List the prime factors of w(13).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 129 = 17*l + 5*o, 0 = 3*l + 4*o - 102. Solve -k + 37 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(2) - (sqrt(2) - (sqrt(24)*2)\/sqrt(12) - sqrt(2))) + -4 + 0.\nAnswer: -4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:16 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 255*z**2 + 3580*z + 8580.\nAnswer: 5*(z + 3)*(z + 22)*(z + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h**2. Let c(a) = -23236807*a. What is c(t(n))?\nAnswer: -487972947*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -3) + -2 + 1. Suppose -2*k = 2*w - 37 - 11, 0 = -v*k + 2*w + 85. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588 + 592. Solve 0 - 1 = -2*f + 3*n, h*f - 2*n - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*v**2 + 502*v**2 - 164*v**2 + 9748*v**3 - 173*v**2.\nAnswer: 9748*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - (-184)\/40. Suppose q - 4*m = -m + 7, -m = 4*q - 41. What is the derivative of -x*g - 25 + g - q*g wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14297, 57204, 128715, 228830, 357549, 514872, 700799?\n\"Answer: 14302*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:11 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s**2 + 4*s - 4. Suppose 14 = -13*w - 38. Let v(m) = 39*m**2 - 15*m + 15. Give w*v(u) - 15*i(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/317296 and -83\/140?\nAnswer: 1586480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -24. Let i be d*10 - (-2 + -2). Let k(z) = 8*z**2 + 14*z - 14. Let g(m) = -5 + 5*m - 1 + 1 + 3*m**2. Give i*g(w) - 5*k(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1474784226854 + 0.064?\nAnswer: -0.0834784226854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and -37\/758973940.\nAnswer: 2276921820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n. Let j = 479 + -479. Factor j*y**3 - 2\/9*y**4 + 2\/9*y**2 + n*y + 0.\nAnswer: -2*y**2*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10336, 10012, 9470, 8710, 7732, 6536?\nAnswer: 5122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29468.51 grams in kilograms?\nAnswer: 29.46851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 70. Let b(j) = 17*j**2 - 1240*j - 65. Let q be b(73). Give f(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0841 - 0.1841. Which is the closest to -0.1? (a) 4 (b) j (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2607396 divided by 77?\nAnswer: -237036\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2381862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1579 - -1769. What is the remainder when c is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 + 6. Suppose b + 35 = 3*b + 5*j, 0 = h*j + 15. Let g = b - 28. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06*59.\nAnswer: -62.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182685?\nAnswer: 5, 29, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose 0 = -d*k - k + 16. Suppose -5*y = -p - 114, 3*y - 28 = k*p + 54. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -3.79?\nAnswer: -3.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 4*c**2 + 2*c**3)*(6 - 4 + 2)*(-c**2 - c**2 + 0*c**2 + (-3*c**2 - 3*c**2 + 5*c**2)*(-1 - 2 + 2) + 2*c**2 - 4 + 4 + 3*c**2 + 7 - 7).\nAnswer: 32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let r be t(-2). What is the tens digit of (r - -18) + 21\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -0*f - 3*f. Suppose 0*r + f = 5*r - 5*j, 2*r = 3*j + 21. Solve b - 3 = -x, 4*b + x - r = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 0 (c) 5 (d) -4 (e) -101\/2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.033 + 2.033. Which is the nearest to -4? (a) p (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*(1 - 2 - 1) + 2*p + 2*p - 3*p - 7*p + 0*p - 2*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53216*q + 4*o = -53220*q + 24, q - 8 = -3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*r - 15 = 0, 0 = -4*y + 2*r - 6 + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*i + 42. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + l + 11 = 0, -36 = -2*g + l - 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6542421 - 6542419. Let j(d) = -4*d - 3. Let v be j(-2). Suppose -1\/4*a**v + 1 + 5\/4*a**3 - 5\/4*a**r - a + 1\/4*a**4 = 0. Calculate a.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377538.86 minus 669?\nAnswer: -378207.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Let m be v(7). Suppose -g + 9 = -2*k, 0 = m*k + 4 + 2. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/14, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r**2 + 2*r + 12. Suppose -259*w + 252 = -280*w. Let u(a) = -a**2 + 1. Give w*u(t) + h(t).\nAnswer: -12*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 1173*w**2 + 8094*w + 11520.\nAnswer: 3*(w + 2)*(w + 5)*(w + 384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -22*l**2 - 9*l - 9. Let o(a) = 5*a**2 + 2*a + 2. Let h(q) = 2*m(q) + 9*o(q). Let g(p) = -26*p**2. Give g(h(k)).\nAnswer: -26*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7 + 13. Let v(p) = u - 2*p + 2*p**2 + 1 + 1. Let m be v(0). Let z(a) = a**3 - 7*a**2 - a + 5. Give z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -31401 + 32106. What is the lowest common multiple of d and 2256?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2155080 and 1560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5582 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532\/(-2926)*(-55)\/(-40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32161045 times 0.3?\nAnswer: -9648313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 5. Let t(v) = -1. Let h(u) = -u**3 - 2*u**2 + 6*u + 2. Let a be h(-4). Let z(k) = a*t(k) - 2*r(k). Let f(y) = y + 4 - 4. What is z(f(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/10)\/9*30\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*51 - (1 + -3). Let y = z - 47. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7675416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -12. Let q(w) = w - 4 - 25*w**s + 5 + 24*w**3. Let u(d) = -6*d**3 - d**2 + 4*d + 5. Let v = -2 + 7. What is v*q(p) - u(p)?\nAnswer: p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 392095 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/6*n**3 - 1\/21*n**7 + 0*n**2 + 0*n**5 + 0*n**6 + 0 + n + 0*n**4. Find the second derivative of h(l) wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7313.45 - -32.90642\nAnswer: -7280.54358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28025 and 321100?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 0. Let x(f) = -u*f**2 + f**3 + 20*f**2. Let t(q) = 2*q**3. Let v = -887 - -884. What is v*t(c) + 4*x(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1504409473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -465*n**3 + 5458*n**2 - 6*n + 6. Let w(b) = 936*b**3 - 10915*b**2 + 10*b - 10. Let g(t) = -5*u(t) - 3*w(t). Find the third derivative of g(m) wrt m.\nAnswer: -2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4555 is divided by 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4372403*f**4 + 7381948 wrt f?\nAnswer: 17489612*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -12\/98797007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3\/3 + 811*q**2 + 4544. Factor p(h).\nAnswer: 2*h*(h + 811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p - p)*(7 + 0 - 4 - 1 + 0 + 2 + (6 - 4 + 0)*(3 - 3 + 2) + 1 - 2 + 2).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from klklkdkkvkvkjkjkrk?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 20*f**4 - 1555*f**3 - 12870*f**2 - 36180*f - 24840.\nAnswer: 5*(f - 23)*(f + 1)*(f + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 602971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 2 (c) 339.1142 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135500000 = 4*w - 5*w - 2*n, -5*n = -2*w + 271000000. What is w rounded to the nearest one million?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1650\/(-297))\/(-10)*(-6)\/15)\/((-8)\/198)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99))\/sqrt(9) - (sqrt(33)\/sqrt(3) + -1) - -5*(sqrt(1331) + (sqrt(1331) - (sqrt(1331)*1*3)**2))) + 4.\nAnswer: -59890 + 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - 94 - (-8 - -2 - (-44 - -4 - 7))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22668 divided by -4.\nAnswer: -5667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 5, -10, -4, -66 in descending order.\nAnswer: 5, 4, -1, -4, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 14) to base 13\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 88. Let s be u(-18). Solve -2*t - 5*m + s = -13, 0 = -4*m + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 15*y**2 + 15*y + 1. Let u be w(14). Suppose 15*p - 20*p + u = 0. Calculate the lowest common multiple of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/32*(-2160)\/1890?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10571, -37636, -82759, -145952, -227227?\nAnswer: -326596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127369587 or -127369585?\nAnswer: -127369587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 + 2*f**2)*(-2*f + 4*f + 0*f) - 3*f**3 + 4*f**3 - 2*f**3 + 11*f**3 + 5*f**3 + 15*f**3 + (-5*f**2 + 4*f**2 + 3*f**2)*(-2*f - f - f).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/104 and (-20734)\/1820 - (-3 - 8)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14710*m*o**2*t + 80775*m*o*t**2 - 95*m*t**2 - 177*o**2*t**2 wrt o.\nAnswer: 29420*m*t - 354*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 29, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + m**2 + 0 + 2 - 2 + 6 + 9*m as h*m + d + b*m**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/12188 and 41\/8864.\nAnswer: 97504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237567 and 10833.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -574*v**2 - 418.\nAnswer: -1148*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37339644.\nAnswer: 2, 3, 997, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 16. Suppose 5*n - 12 = -4*k + 6*k, k - 5*n = -z. Suppose k*q - 32 = -0*q. Solve q = -4*y - 0*b + 4*b, 0 = 2*b - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -538.1 - -538.49. Which is the third smallest value? (a) 2 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*m = 5, a - 20*m = -22*m + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 15\/101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1528686 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -3.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4058*r**3 - 61*r**2 - 735069?\nAnswer: -12174*r**2 - 122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 826.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 12 - 2*z**2 + 393436181*z - 393436181*z.\nAnswer: -2*z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -293834 and 320.65.\nAnswer: -293513.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8893.199 kilograms to micrograms.\nAnswer: 8893199000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 19*h + 37. What is l(17)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 14*o + 8. Let h be x(-14). Suppose 13*w - h*w - 210 = 0. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001101110000001 - -10010?\nAnswer: -111001101101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(156) + -6*(sqrt(156) + sqrt(156) + 1*sqrt(156) + sqrt(156))))\/(-1*(sqrt(12) - sqrt(12)*-2) - (1*sqrt(24)\/sqrt(2) - sqrt(12))))**2.\nAnswer: 110032\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + 840\/525. Which is the closest to 0? (a) f (b) 1\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22141 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12006.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9375168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539 = 184*f + 669 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 27*b + 60 = h, 2*b = -h + 65. Let w = 28 + -13. Calculate the greatest common factor of w and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7098272 - 7098272 - 3136*h as c*h + a and give c.\nAnswer: -3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3*r**2 - 2*r + 6. Let g = -2 - -5. Let z be j(g). Suppose -4*q + 12 = -z. Sort q, 1, -3 in ascending order.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14401.032 rounded to the nearest ten?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let q be 4\/(-3)*-3*n. List the prime factors of (-4)\/16 + (-34)\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 561 from -20.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.442 - 20.47. Which is the biggest value? (a) -2 (b) w (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/6 + 56*f**2\/3 - 847*f\/2 + 405.\nAnswer: -(f - 81)*(f - 30)*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1792 to the nearest ten.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16753 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4145*x = -1375*x - 11452 - 7938 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1569.97 and -30?\nAnswer: 1599.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 36. Let x be q(19). Let t(b) be the second derivative of b**3\/2 - b**2 - b. Let w be t(x). Solve -w + 12 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 + 6 = 0. Find the second derivative of 17*v**5 - 22*v - 44*v**5 + 3*v**2 - 3*v**w wrt v.\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8463 and 2418?\nAnswer: 16926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 278550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {z: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -4 - (2601 + -2591)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a. Let j be a + (-4)\/(-18) - 0. Determine c so that 0 - 2\/9*c - 4\/9*c**2 - j*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o*o)**(1\/3)\/(o**3*o*o**(-8)*o) assuming o is positive.\nAnswer: o**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101207 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times -13622?\nAnswer: 749210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*s + 18*s - 1 + 2*s**2 + 14*s)*(-s - 1 + 1)*(s**2 - 3*s**2 + 5*s**2).\nAnswer: -6*s**5 - 9*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from kykyk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 53.0093 weeks?\nAnswer: 371.0651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -628, -946, -1568, -2596, -4132?\nAnswer: -6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:22 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -31328768.\nAnswer: 12531507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20150, -39432, -58714, -77996?\n\"Answer: -19282*c - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 2*x - 2. Let j be s(-1). Suppose -6*q + 5*q + 18 = 0. Suppose q = -0*t + j*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 22*q - 10500761 = -m, -3*m = 2*q - 21001517. Let d = q - 15370766. What is d rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2145612 divided by -237.\nAnswer: 715204\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**3 - 4*m**2 - 75*m - 20. Let i(r) = r**3 - r**2 + 1. Let y(f) = -c(f) + 5*i(f). Factor y(p).\nAnswer: -(p - 5)*(p + 5)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -932 or 118.97?\nAnswer: 118.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160.2 + 160.29. Which is the nearest to w? (a) -9 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**2. Let v(s) = -49510596*s. Determine b(v(h)).\nAnswer: -14707794697651296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120 + -12002020202101?\nAnswer: -12002021002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 55. What is the remainder when 38 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -757, -756, -755, -754, -753?\n\"Answer: r - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, -142, 12, 18.\nAnswer: -142, 12, 18, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -12*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*j + 848 + 258 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -250, -357, -570, -925, -1458, -2205, -3202?\nAnswer: -4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 + -1) - (6 + 7 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3840)*-1 - sqrt(3840) - sqrt(3840))\/(sqrt(132)\/(sqrt(44)\/sqrt(4))).\nAnswer: -24*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}