diff --git "a/data/dm_maths/full_data_1/10812_11255.jsonl" "b/data/dm_maths/full_data_1/10812_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10812_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*m = 3*x, 0 = -x - 2*m + 8 + 4. Solve -x*b + 6 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772141052?\nAnswer: 2, 193035263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29744213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 5. Suppose -p - 5*d + 1 = -0, -2*p - 2*d + 2 = 0. Let g be p\/4 + (-90)\/(-24). Give j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -51, 148 in increasing order.\nAnswer: -51, -5, -1, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47481 is divided by 47470.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 + 6*c + 3. Let v(o) = 5*o**2 - 9*o - 4. Give -8*a(f) - 5*v(f).\nAnswer: -f**2 - 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/360 - a**5\/15 + 116*a**3\/3 + 224*a. Let k(v) be the second derivative of z(v). Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0)*(3 - (19 - 17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 310445856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, -696969?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 437083147.\nAnswer: 3\/437083147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -0.5 (c) 0.1 (d) 32\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g. Let f(b) = -b. Suppose 0 = -4*d - 10 - 2. Let w be (d + 0)*10\/5. Determine w*f(p) + j(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1065 times -0.1865?\nAnswer: 2.25786225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/13)\/((-194)\/(-1261)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**17*o**(-1\/26)*o*o*(o**(-2)*o)**(1\/9) assuming o is positive.\nAnswer: o**(-3311\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 2, h: 5, r: 1, a: 1}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - -1.9. Let v = 8 - 7. Which is the nearest to v? (a) -9 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 8400.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5189 - 2608 - 11*k - 2581.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4368 - -2.37504. Is 0 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1 + 4 + t + 0. Let l(d) = d**2 - 31*d + 79. Let r be l(28). What is h(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:16 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -4 - 4\/3*m**3 + 2\/5*m**5 + m**6 + 2*m + 3*m**2 - 3*m**4. Let x(v) = 0. What is v?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -340.11\nAnswer: -102.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 9 + 3*s**3 - 5*s**2 + 3*s + 0*s**3 = 0 for s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -175 + 182 - ((21 - (-1 + 2)) + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18558581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 638165 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = -3*n, 4 = 5*n - 1. Suppose 0*w - 15 = -t*w. Is (11*21)\/w - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 3*x + 6. Let o be r(2). Let l(w) = w - 14. Let u be l(o). Which is greater: u or -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 1\/18*b**4 - b + 40 + 1\/36*b**6 - 1\/15*b**5 - 1\/252*b**7 + 0*b**3 + 0*b**2. Factor z(l).\nAnswer: -l**2*(l - 2)**2*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -0*b + 14*b + 80, -24*b = -49*b + 21*b for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + d + 1. Let b be 0 - (-6)\/(-9)*-3. Suppose 0 = -4*p + 2*p - b. What is the units digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15042?\nAnswer: 2, 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/1075?\nAnswer: -14\/1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32984?\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4149.1 + -892.9. Let b = -5062.035 - q. Let w = b + 20. What is w rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20531 and -0.0929.\nAnswer: 20530.9071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 173818.45605 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + 0.1. Let h = 75.6 + -75.9. What is the nearest to -1 in 2, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3*y**3 + r**3*y - 486*r**2*y**2 + 63*r*y**3 + 26*r*y - y**2 wrt r.\nAnswer: 6*r*y**3 + 6*r*y - 972*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from jjxdxjjxjdjxxjjdx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11629, 23274, 34943, 46642, 58377, 70154?\nAnswer: 81979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -2442, -5360, -9176?\nAnswer: -13890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2457 and 29\/2457.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*g - 14, -7*a + 29 = 18*g - 22*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-3)\/(12\/(-4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2691526 + -0.577.\nAnswer: 2691525.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*(-18)\/(-2736)*38*95\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 1 + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 775231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21588\/2935 < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.42 to zero dps.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-10 - -33) + -3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 0, -1187 in descending order.\nAnswer: 6, 0, -4, -1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/12 and 85\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -0.804.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4 - 5*t + 1 - 2 + 1. Calculate x(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 - (-1)\/(-6). Let k be (l - 2\/(-2)) + (-357)\/(-12). Let s = k + -31. Put 1\/6, 4, s in decreasing order.\nAnswer: 4, 1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115505000 (base 6) in base 3?\nAnswer: -11012102211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 1 = 0. Suppose 0 = 3*n + h - 13. Is 4 a factor of (-4)\/(-8) - (-18)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/4))\/y*y**(-6)*(y\/(y*(y**1\/y)\/y)*y)\/(y**(2\/19)*y)*((y\/y**4)\/(y\/y**(1\/8)))\/(y**(-1)\/y*y**(-3)) assuming y is positive.\nAnswer: y**(-643\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o - 1. Let y = 319 + -321. Let g(u) = -3*u. What is y*k(h) - 11*g(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:21 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2)\/(-2) - -1. Let f = 21 + -27. Let r(y) = 2*y**3 + 10*y**2 - 14*y - 5. Let m be r(f). Solve 0 = m*d - u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -412 - -804. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/291 and -83\/273?\nAnswer: 26481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:47 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -115, -82, -13, 104?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798628 is divided by 266167?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3901, -15521, -34883, -61993, -96857?\nAnswer: -139481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 124*k + 3058. What are the prime factors of y(83)?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 48036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 116 = -2*u - 33*v + 42, -2*v + 10 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**3)\/t)**(-22)\/(((t\/(t*t*t\/(t*t**(-6)*t)))\/t)\/(t**10\/t)) assuming t is positive.\nAnswer: t**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -71, -4, -73, 212 in descending order.\nAnswer: 212, 5, 4, -4, -71, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/510*(-60)\/18?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) - sqrt(99)*-4) - sqrt(99) - sqrt(99))**2.\nAnswer: 77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + 2 - ((-1 + sqrt(7))**2 + -4).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7565313, -7565385, -7565457?\nAnswer: -7565529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 20. Suppose 0 = -3*b - 4 + 1. Let c = 7 + b. What is the remainder when 190 is divided by a(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -80, -4 in increasing order.\nAnswer: -80, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*i + 6*g - 33, -2*i + g = -13. Solve -i*z = -13*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j - 40. Is 3\/((-9)\/6)*j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-5 - (7 + -6)) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 233514.5 millilitres in litres?\nAnswer: 233.5145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3021948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (12 - (14 - -1) - -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + a + 2, -a = z - 7 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19415981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**3 + 3*g + 0*g - 3*g.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t + t**2 + (t - 2*t + 6*t)*(-2*t - 1 + 1) - 2*t - 2*t**2 + 2*t to x*t + f*t**2 + o and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-290 - 6)\/(-2)*-2*3\/(-8). Suppose 3*a - 559 - 11 = -5*q, 4*q = -5*a + 469. Is q less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -588*i**4 - 1428*i**3 - 1119*i**2 - 306*i - 27.\nAnswer: -3*(i + 1)**2*(14*i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26455846 to the power of 1\/2, to the nearest integer?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/13860 + u**5\/660 + u**4\/12 + 7*u**3\/3 + 4*u**2 + u. Let m(x) be the second derivative of f(x). Factor m(v).\nAnswer: -2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q + 5*k + 22 = -72*q, -q - 26 = 5*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339307 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 - -1) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**3 - 35 + 0*u**4 + 48 + 2*u - 2*u**4 - 2*u**2 to i*u**4 + a + p*u**2 + n*u + s*u**3 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 4, 1, 5 in decreasing order.\nAnswer: 114, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 70640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -5*q + 24. Let u = -8 - -11. Let z = 77.86 + -78.01. Which is the third biggest value? (a) z (b) q (c) u (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let o(l) = -6 + 11 - 5 + l. Let q(k) = k**2 - 3*k. Let c(g) = 3*o(g) + q(g). Calculate c(t(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -4 - (8 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 17 - 19) + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82\/7061 + -1690567\/2174788. Let w = o - 3\/44. Let s = 31\/120 - 2\/15. Find the common denominator of s and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -0.63. Let z = 0.4 - b. What is the biggest value in 0.5, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.241438276 rounded to two dps?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2427, 2425, 2423, 2421, 2419?\n\"Answer: -2*w + 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.87 - 296374276.5.\nAnswer: -296374277.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1872821*r**2 - 1901690*r wrt r?\nAnswer: -3745642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1537 divided by 1567.\nAnswer: 1537\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9))\/(-4)*-6. Let g be ((-27)\/(-45))\/((16\/20)\/c). Solve k - g*q = -6, -3*k + 2*q + 2*q - 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8*(306\/(-24) + 2 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-20)*x)**(31\/5)\/(x**(1\/14)\/x*x*x*x*x\/(x*x\/x**12)) assuming x is positive.\nAnswer: x**(8633\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:22 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/5 + 1263*k**4\/5 - 153141*k**3\/5 + 4243677*k**2\/5 - 31807944*k\/5 - 36206028\/5 = 0. What is k?\nAnswer: -1, 18, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8448 (base 11) to base 4\nAnswer: -2232300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*d - 23, 4*d = 8*p + 3 - 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 534872 and 668590.\nAnswer: 2674360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 985*j**2*t - 6483*j**2 + 17*j*t + 1 wrt t.\nAnswer: 985*j**2 + 17*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 4*(-3)\/(-4). Suppose -l - w = -17, 5*l + 0*w - 87 = -p*w. Let r(y) = y**2 + 24*y - 23. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.91 times -74?\nAnswer: 289.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 384\/((144\/774)\/((-252)\/(-5418)))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0371 plus -1636350413314?\nAnswer: -1636350413314.0371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 2. Let t(m) = 80*m - 55. Let f(p) = 4*t(p) + 110*z(p). Let k(g) be the second derivative of 0*g**2 + 0 + 1\/3*g**3 + 2*g. Give f(k(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2. Let x be o(-1). Suppose -6 = -5*y + 19. Sort -5, x, y in ascending order.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * 268.43.\nAnswer: 697.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + 0\/1). Let f be 8\/12 - (-2)\/(-3). Let y(q) = -q**2 - q + 2. Let s be y(f). Solve -5*h + s - 22 = r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*f**4 - 2*a**3 - 3191*a*f + 8*f**4 - 1 wrt f?\nAnswer: 12*a**3*f**2 + 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -116007\/1298 and -88 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6383*b - 6315. Calculate a(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 103 = 67. Solve t*x - 66 = 14*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27053, 53768, 80479, 107186, 133889?\nAnswer: 160588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j + 6. Suppose h - 3*k - 1 - 9 = 0, 3*h = -5*k - 26. Let s be p(h). Let u = -18 - s. Solve u*i + y = 5, 0*i + 2*i = y + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -58. Let t = -2 - -1.7. Let q be (-2 + 3)*1*2. Sort r, t, q.\nAnswer: r, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55*m - 412*m + 1073*m + 659*m)*(-4 + 0 + 5) to the form r + x*m and give x.\nAnswer: 1375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506 + 1519\/3. What is the fourth biggest value in -1, -0.59, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3\/28*w**4 - 9\/14*w**2 - 5\/7*w**3 - 5 + 27\/7*w. Factor z(l).\nAnswer: -3*(l - 1)*(l + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3721 - 3722. Which is the nearest to o? (a) -4 (b) 1\/4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/977580 and 64\/1545.\nAnswer: 100690740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7320 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and 6848.6?\nAnswer: -157517.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 + -12?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -97 - (-3)\/(-2)*12\/(-9). Let b be 2\/5 + 78\/k. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 431e + be7?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11958*(52\/42 - 24\/42). Suppose -d = -7*s + 106. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2*m**4 - 9*m**2 - 14. What is the second derivative of z(g) wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12334444010 - -10?\nAnswer: 12334444020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/9 - 10*c**2\/3 + 32*c\/3 + 128\/9 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 154\/10 + (-4)\/10. Let r(q) = -q**2 - 5*q + 3. Let f be r(-5). Suppose f*m = -2*m + 15. Solve m*a + 2*a + g = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.4754 + -211?\nAnswer: -5.5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/3 + w**3\/3 - 4*w**2\/3 - 4*w\/3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 119.886. Let x = o + -0.15. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15*n - 160 = -51*n. Let h(t) = t**3 - 7*t**2 + 12*t - 8. Determine h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 7*p**2 + 9*p + 1342. What is w(9)?\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.2 (c) -5 (d) -287 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37346790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000367773 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 591465 = k, k - 4*r - 830722 = -239217. Suppose -k + 203485 = 4*l. What is l rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:13 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/15 + 166928*u**3\/15 + 118585966*u**2\/15 + 21092132776*u\/15 - 7070295224\/5 = 0.\nAnswer: -82749, -358, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8) + (sqrt(8) - sqrt(24)\/sqrt(3))))**2 + sqrt(3) - (-4 + 1*sqrt(3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -82. Let g = 0 - -1. Put 5, a, g in increasing order.\nAnswer: g, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -18. Let i be (-5)\/20 - (-33)\/4. What is the highest common factor of i and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 2766?\nAnswer: 30426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:36 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -56677456 divided by 56848\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -244*n**2 - 48*n - 5. Let g(q) = -245*q**2 - 40*q - 4. Let r(i) = -8*c(i) + 10*g(i). Suppose r(a) = 0. What is a?\nAnswer: -8\/249, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t - 4*t**2 - 13*t**2 + 26*t.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.796 + -452.704. What is i rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (2 + -2)\/(-3). Sort -14, 2\/3, w.\nAnswer: -14, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1129074*h*u**3 - 38539*u**3 - 33*u + 1 wrt h.\nAnswer: 1129074*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2352 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 184 = f + 4*f, -66 = -m - 4*f. Suppose 2*c + m = 216. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/24463689, 0.5, 0.2 in increasing order.\nAnswer: -2\/24463689, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 7 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2993, 5, 2 in decreasing order.\nAnswer: 2993, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1326.0023588 + 1326. Round j to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21610 + (189 - 194 - 6*(0 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -788*t*z**5 + 2*t*z**3 + 16606*t*z**2 - 9*t - 248*z**4 wrt z?\nAnswer: -47280*t*z**2 + 12*t - 5952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1419*159\nAnswer: 225621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(1 - 1 + n)*(-4 - 50*n + 91*n - 50*n).\nAnswer: -27*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 306148 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-2)\/(-342)). Let q be 1\/(v*(-3)\/(-54) + -3). Suppose 3*l + c = 14, l + 0*c - c = q. Solve h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2.15.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4396 = -26*r + 964. Calculate the common denominator of (148 + -2)*22\/r and ((-14)\/12 - -1)*-139.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/5257 or 0?\nAnswer: -72\/5257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(-1 + q**2 + 1)*(0*q + 5*q + 0*q).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/5 + 16\/(-40). Suppose 4*l = l + 4*j - 4, -5*j = -5*l - 5. Suppose 6*q - 3*q - 12 = l. Solve 0 - k = q*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*u*u\/u**(6\/11)*u)*u)**(-31)*(u*u**(2\/7)*u)**(-2\/27) assuming u is positive.\nAnswer: u**(28943\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -3 (b) 11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*u + 4199 = -v, 0 = 3*v - 4*u - 6281. Let p = v + -1189. What are the prime factors of p?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*c**2*x**2 - 60*c**2 + 6*c*k**2*x**2 - c*k**2 + x wrt x.\nAnswer: -96*c**2 + 12*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = h + 3*g, 4*h - 5*g + 11 = 0. What is the lowest common multiple of 6 and ((-12)\/h)\/((-6)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-6 - -1 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1837668*l**2*p - 184*l**2 - 809*l wrt p.\nAnswer: 1837668*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/660 + 17*i**5\/330 - 31*i**4\/132 + 5*i**3\/11 - 17*i**2. Suppose q(k) = 0. Calculate k.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/15*(-17)\/((-204)\/200). Find the common denominator of (32\/(-70))\/1*10\/t and -67\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**2 + 38296 - 38296 + 412*f - 412*f.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 646403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -99 and 119358905.\nAnswer: 119358806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**4 - 8*z**3 + 16*z**2 + 5*z - 63. Let q(r) = 3*r**4 + 6*r**3 - 17*r**2 - 6*r + 62. Let s(h) = 2*a(h) + 3*q(h). What is y in s(y) = 0?\nAnswer: -5, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11)**(-18) assuming b is positive.\nAnswer: b**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7441, 14758, 22073, 29386, 36697, 44006?\nAnswer: 51313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 12 + 2, -5*t + 4 = 3*l. Suppose -t*b - 2*z + 8 = -3*z, 0 = 2*z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yapvfpyyypaaapp. Give prob of sequence vp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 471.30921 and 0.01.\nAnswer: 471.31921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65, 124, 197, 290, 409, 560?\n\"Answer: f**3 + f**2 + 49*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 307892 and 153946.\nAnswer: 307892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*h - 196, h - 63 - 40 = 3*p. Calculate the remainder when h is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 52804 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3986, 8053, 12118, 16181, 20242, 24301?\n\"Answer: -w**2 + 4070*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 5 - 4*t + 9*t - 3*t. Give f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -38255, -4, -3 in increasing order.\nAnswer: -38255, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 - 47 + 37 + 7*z**2 + 2*z**2 - z**2 + 0*z**2 + (-2*z + 5*z - 4*z)*(-2*z + 3*z + z).\nAnswer: 6*z**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -30. Let c(t) = t**3 - t**2. Let a(p) = -3*p**3 + 7*p**2 - 2*p - 3. Let v(k) = -a(k) - 4*c(k). Calculate v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2. Suppose 0 = -l + 3 - 0, 0 = p - l. Suppose -1 + p = f. Let y(d) = -3*d**f + 0*d**2 + 53*d - 53*d. Calculate y(z(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 912*d + 21 = 882*d + 201, 2*d - 5*d + 10 - 1 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -11540607.\nAnswer: 34621821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12204 = 3*o - o. Suppose -4*c - 2*d - 65494 = o, -2 = -d. Round c to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18947447*j**3 + 11551376*j**2.\nAnswer: -113684682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -10. Let o = 2.94 - -0.06. Let g = 2.5 - o. What is the second biggest value in -3, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))\/x)\/x*x**(-2\/23)*x*x**(2\/17)\/x*x\/(x\/x**12*x*x) assuming x is positive.\nAnswer: x**(5877\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22414525 (base 8) in base 5?\nAnswer: 2220344044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2 + 3 - 4)*(24 - 47 - 2*t + 12)*(-30*t**3 + 50*t**3 + 9*t**3).\nAnswer: -116*t**4 - 638*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 33137?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5353, -10709, -16065, -21421, -26777, -32133?\nAnswer: -37489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/h)**(-8\/3) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 7*b**4 - b**3\/6 + 49*b**2\/2 - b + 18. Find the second derivative of n(t) wrt t.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, d: 1, m: 5, z: 1, h: 1}. What is prob of picking 1 h, 1 x, 1 z, and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*v, -q - 2*v + v = -54. Is q greater than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2781, -2753, -2705, -2637, -2549, -2441, -2313?\n\"Answer: 10*k**2 - 2*k - 2789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 475 + 23. Let c be 272 + (-2)\/(-3)*-3. Let i = c - g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1193\/4 + 302. Let o = 586 + -582. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 53, 112, 195, 302, 433?\n\"Answer: 12*d**2 - d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -11*t**7\/21 + 5*t**3\/3 - 22*t. What is the second derivative of i(x) wrt x?\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 84, 4, -4 in ascending order.\nAnswer: -4, -3, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 50*a + 172. Let m be s(-8). Is 4\/(-38) + 1116\/m + 3240 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91464305*d**4 + 19962332*d + 1 wrt d?\nAnswer: -1097571660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -1312114324?\nAnswer: -1312114234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3983 - 4026.56. Round v to zero decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 562, 1482, 2766, 4408, 6402, 8742?\nAnswer: 11422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2036*a**5 - 5*a**4 + a**3 + 18*a**2 - 6*a + 399.\nAnswer: -122160*a**2 - 120*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 12495?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 - 16*a - 56. Give g(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1.1, 0.4, 17.861, 5 in ascending order.\nAnswer: -2, 0.4, 1.1, 4, 5, 17.861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/6))**47\/((s*s**(-1)\/s*s*s)\/s)**(-50))**(-1\/23) assuming s is positive.\nAnswer: s**(47\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*d + 6559, -4*d = -0*d - 4. Suppose -z = -2*f - 325. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11654*v - 43152*v - 342 + 688 - 346 as p*v + r and give p.\nAnswer: -31498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from {a: 2, r: 2, x: 2, s: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -82 + -81 + 100.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -659, -1321, -1983, -2645, -3307, -3969?\n\"Answer: -662*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 637 in 0, -1, 1\/3, -2262?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:58 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 3:02 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (-4 + -6*(-4 + sqrt(704) + -3 + sqrt(704)))**2).\nAnswer: -308472 + 21888*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 + -7 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3754, 3783, 3828, 3895, 3990?\n\"Answer: m**3 + 2*m**2 + 16*m + 3735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:08 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8525579269 to the nearest one hundred thousand.\nAnswer: 8525600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 10*b**2 + 50*b - 148. What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = -40. Let d be i\/(-44)*24\/(-30). Which is the third smallest value? (a) -0.3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -8804.7?\nAnswer: -20250.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 + -490. Let n be ((-1)\/(-2))\/(1\/30). Let c = n + 3. What is the remainder when c is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.3794 + 0.3906. Let m = -0.23 - b. Let j be 0 + (0 - (-3)\/9). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 51*h + 51. Let c be w(-26). What is the second derivative of -q**5 - 2*q**4 + 116*q + 5*q**5 - c*q**5 wrt q?\nAnswer: -420*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/11)\/p)*p\/(p**(-13)\/p))**26 assuming p is positive.\nAnswer: p**(4888\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22037 (base 8) to base 3\nAnswer: 110200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/7 - 22*g**4\/7 - 60*g**3\/7 - 20*g**2\/7 + 62*g\/7 + 6 = 0?\nAnswer: -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k**2 + 22*k**2 - 22*k**2.\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away -4.863869645?\nAnswer: -8.136130355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {v: 4, p: 2, c: 3, r: 6, b: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -131389233 + 5\nAnswer: -131389228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*z = -520*z - 145 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000430242 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/7 - 4*r**3 + 76*r**2\/7 + 1966. Factor p(y).\nAnswer: 4*y*(y - 19)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 610308?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e01 - 14?\nAnswer: ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44638, -44608, -44554, -44476, -44374, -44248, -44098?\nAnswer: -43924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23b + 1?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Let r = -1.98 + x. Let m = 0.02 - r. Which is the closest to m? (a) -1\/4 (b) 2\/7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let l(m) = 7 - m + t + 2*m. Does 17 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126121*z + 36*z**2 + 2 - 126121*z.\nAnswer: 36*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-10)*55\/22. Suppose q = 4*r - 2*k - 0*k, -k = 4*r - 8. Suppose -29 = -3*a + t, 0 = 3*a - r*a - 3*t + 1. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 13*r + 40. Let z be d(9). Which is the nearest to -1\/4? (a) -3 (b) z (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 8*l - 11. Let x be p(-5). Put 1, -27, 4, x in descending order.\nAnswer: 4, 1, x, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c + 66. Let q(h) = -2*h + 13. Calculate 2*p(x) - 11*q(x).\nAnswer: 2*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925509.7 meters to micrometers.\nAnswer: 925509700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1692 + -4?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3, -k - 23 = -2*m - 2*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*p - 59 + 58 = -26, -4*s + 15 = 3*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1403 + -479. Let c = g + -926.992. Let z = c + 3. What is z rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**5 + 7*s**5 - 4*s**5)*(-9 - 7 - 125) + (-4*s + 3*s + 3*s)*(-5*s**4 - s**4 - 5*s**4).\nAnswer: -445*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2376 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 671*(234\/26)\/99.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 238 + 67 = 0. Let b be 1\/(4 - q\/15). Let a be 30\/50 - (-22)\/b. Solve k - a*h = 0, -12 = 3*k - 4*h + h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3\/4, -1\/10, 5\/561?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**0*k)\/k*k*k\/(k\/(k*k**(-3\/2)*k)))**(-2\/39) assuming k is positive.\nAnswer: k**(-7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let s be w(2). Suppose 0 = 5*y - 3*q + 10, 0 = s*q - 5 - 15. Is y not equal to 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 314*j**4 + 31 wrt j?\nAnswer: 1256*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2. Let l(k) = -10*k**2 - 23. Determine -2*l(m) + 22*z(m).\nAnswer: 20*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4560 and -107\/2520.\nAnswer: 95760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -130\/3, -2\/7, 2\/3, 3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = 0, 4*s + 4*q - 2*q = 28. Let d(c) be the second derivative of -2\/15*c**3 - 1\/60*c**4 + 5*c + 0 + 1\/100*c**s + 2\/5*c**2. Factor d(n).\nAnswer: (n - 2)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 22 + 8)*(1 - z + 1 + 2*z)*(45787 - 93*z**4 - 45787).\nAnswer: 2325*z**5 + 4650*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**2 - 726*j + 1457. Give p(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12106000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 + 110*p - 60. Let c = 13 + -8. Suppose -c*z - 5 = -25. Calculate the remainder when n(15) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -129. What is the smallest common multiple of d and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/((-2)\/3) + 3. Solve 6 = 2*z - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j - 74*j = -111*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 7810?\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*v - 31, -5*j + 4*v + 34 = 33 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, e: 1, j: 1, d: 7}. What is prob of sequence em?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 13*v**2 - 9*v + 5. What is the hundreds digit of j(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 4*s**2)*(0*s - 2*s + 0*s)*(1 + 0 - 3).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 - r**3\/3 + 3*r**2\/2 + r + 10. Give a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 1, o: 3, j: 1, y: 2, m: 1}. Give prob of picking 1 y and 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {k: 5, p: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1587)\/46*(105\/(-9) - 1)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose l = 4*v + 2, k = 6*l - 2*l - 2*v - 8. Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -80. Suppose -2*w + o = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*t + 298 = 18 - 35. Let q(l) = 3*l**3 - 2*l**2 - l - 1. Let k be q(2). Let r = -9 + k. Are r and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y + l - 17 = 0, -y + 6280 = 2*y + l + 3*l + 6225 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 1254*o - 1249*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 + 10034*y**3 + 10231*y**3.\nAnswer: 20265*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12792079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -30*o. Let q(r) = 2*r - 78 + 78 + 0*r. What is q(g(s))?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3853 * -3404.\nAnswer: 13115612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -b - 2*y, y - 5*y - 13 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2. Let k be o(-1). Let p be (-4 - 0 - k)*-1. Let s = -80 - -317\/4. Which is the closest to 0? (a) p (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -14. What is the remainder when 15 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599823 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aulvuousssusvsuuu. What is prob of sequence us?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(512))\/(sqrt(8)\/sqrt(2)*1).\nAnswer: 1 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*s - 0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 80 = -16*q. Solve 5 = -5*b - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:32 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 241393391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 + 36030*g**2 + 1842944*g - 3829992 = 0. What is g?\nAnswer: -53, 2, 18066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -271*q + 9207. Calculate t(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 32 = 4*k, -k - 2 = -3*k - 2*i. Let n(b) = -2*b**3 - 6*b**2 - 1. Let r(q) = -q**3 - 4*q**2 - 1. Determine k*n(f) - 7*r(f).\nAnswer: -3*f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 657837009*s**3 + 733888538*s**2.\nAnswer: 3947022054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -183 - 114 - 4*z - 135 - 3*z - 250 in the form x*z + j and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 - -1)*(3 + -2). Let n be b - (-7 + -1)\/4. Suppose -3*j - 7 = -n. Solve -x + 3*m + 10 = 0, -j*x + 15 = -x - 4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/288*32*18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 3. Let u(m) = 3*m + 5. Suppose -4*n + 3*n + 4 = 0. Suppose -3*i = -l - n*l - 29, 16 = 2*i - 5*l. Let o = i - 20. Give o*y(k) + 4*u(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 3*c**2 - 3*c**2)*(15*c - 38*c - 64*c).\nAnswer: -174*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.41, 4, -2 in decreasing order.\nAnswer: 4, -0.41, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(-1 + 15\/20) - 3. Suppose -5*w = -b*w - 775. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -33597\nAnswer: 33597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 53\/2, 5, -3\/2, -1\/8, 105\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*k**3 + 75*k**2 - 75*k**2 + (0 + 0 - 2*k**3)*(3 - 4 + 2) - k**2 + 82*k**3 - 79*k**3 - 4*k**2 + (0 + 0 + k)*(1 - 1 + k**2) - 6*k**2 + 3*k**3 + 6*k**2.\nAnswer: -64*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74504658427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and (195\/208*12)\/(9\/12).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 182098*b - 182129*b = -6*m + 62, -4*m = -5*b - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -44. Let r = t - 123. Let n = r + 73. Calculate the greatest common divisor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-90) + (1 - 32\/(-5)). Suppose 0*w + 2*w = -3*w. Solve -4*i + g*i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvvnnn. Give prob of sequence vn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/8 + -177\/56. Which is the nearest to -1? (a) -0.1 (b) i (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -1.72327?\nAnswer: 3.72327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555664*i**3 + 92035*i**3 - 10543*i**3.\nAnswer: -474172*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c - 12. Let w be c*(-9)\/12*-16. Let m be (12\/10)\/((-9)\/w). Solve -3*y + 3*b = 8*b - m, b = 5*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 21. Let w = m + -6. List the prime factors of -4*((-27)\/w - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)\/s)\/(s*s*s**9*s*s))\/((s\/(s*s**(-17))*s)\/s**15) assuming s is positive.\nAnswer: s**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -808658 divided by 2?\nAnswer: -404329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + 27. List the prime factors of b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(10\/(-3) + 0). Suppose 3*s - 7 = -n - 2, 0 = 3*s + 2*n - a. Suppose s = h - 19 + 4. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 11*n**2 + 40*n. Let j(g) = g**3 + 9*g**2 + 12*g - 12. Let l be j(-5). Let b be y(l). What is b rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 - 5*i**4\/3 - 41*i**3\/6 - 63*i**2\/2 - 4*i. What is the lowest common multiple of k(-18) and (-1)\/2 - 13\/(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34777*x**3 + 2*x**2 + 28*x + 274.\nAnswer: -208662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3088387\/23 or -134278?\nAnswer: -3088387\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*a + 2 = 0, 0 = 2*i + 3*i + 5*a. Suppose 120 = i*w + 6*w. What is the units 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\/9? (a) 2\/19 (b) -16\/11 (c) -1 (d) 5\/186 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 343 and 1.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 242.2, 3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 142 and 137496.\nAnswer: 137638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-12)\/(-4)*(-31)\/(-217).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427 and 651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15*w*w*(w*w**(-22))\/w*w*w*w*w*w)\/(w**(-3))**(42\/11) assuming w is positive.\nAnswer: w**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l - 2508 = 35*l + 58*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 4)*(-6*d + 0*d - 5*d)*(1 - 4 + 0 + 3 - 1 + 0 + (-25 + 18 - 15)*(1 + 4 - 3)) as y + r*d and give r.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnlnsllgnn. What is prob of sequence slh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(24\/(-148))*-2. Suppose -3*a - 5*i - r = 0, 2*i + 0 - 2 = 3*a. Is 573 - a\/(-12)*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 634, 632, 630, 628, 626?\n\"Answer: -2*v + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 23*j**3\/6 - 3*j. Let s(x) = 85*x - 172*x + 89*x. Give w(s(v)).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - i - 170 = -3*i, -2 = -i. Let v = h + 2160\/13. What is the closest to 0 in -3, v, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-398 + 395)*26\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 2*z - 3*t, -9 = 3*z - 3*t. What is the units digit of (z + -2)*(-1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 77.4. Which is the nearest to v? (a) -4 (b) 5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 417 = -2*n. What is the remainder when n is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5284095 = -263*n + 17404126. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 1 + 1 + z**3 - z + z + (-2 - z + 2)*(z**2 + 2*z**2 - z**2) + 0*z**3 + 4*z**3 - 2*z**3 in the form s*z**3 + j*z**2 + d + n*z and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*b**2*u**2 - 11457*b**2*u - 6*b*u**2 - u**2 wrt u?\nAnswer: 74*b**2 - 12*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29836 and 10?\nAnswer: 149180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 14. Determine v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23119822, -46239642, -69359462, -92479282?\n\"Answer: -23119820*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 2*z + 6*c + 3, -z + 5 = 5*c. Suppose 10*q - 9670 = -z*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4668 and -1?\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110111110010101110 (base 2) in base 13?\nAnswer: 41b7c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512\/7*s - 62\/7*s**3 - 64*s**2 + 0 - 2\/7*s**4 = 0. Calculate s.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from ihhhx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 422 - -2597. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*k)*(-k - 4*k**2 + k) - 3*k**2 + 3*k**2 - k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 1403 - 1313 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112210 + 232330231?\nAnswer: 233103101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231044 + -43313?\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let d be (-4)\/6*15\/45. What is the biggest value in q, d, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22\/7 + -9\/14. Let q = 5 - 5.4. Which is the third biggest value? (a) -0.3 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(k - 4*k + 4*k)*(-41 + 83 + 48).\nAnswer: -270*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20) - (-4 + (-61)\/(-12)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(40)\/(sqrt(32)\/sqrt(8))) + -1 + sqrt(9)\/(sqrt(3)*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9015.\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c6ab52 + 5?\nAnswer: 17c6ab57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6437217534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9336 divided by -24.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1613\/37 or 44?\nAnswer: 1613\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 6*n - 9. Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*p - 162 = 3*l, -3*l = 4*p + 180. Let c = 53 + l. What is the biggest value in c, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y*y*y**(-9)*y*y)))\/y)\/y*y*y**(-7\/4)*y*(((y**(3\/4)\/y*y)\/y)\/y)\/y*y**(6\/5) assuming y is positive.\nAnswer: y**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 2*o - 38 - 15)*((4 - 3 + 1)*(11 - 2 + 3) - 36 + 13 + 18) to p + q*o and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/(-8) - 1)\/2. Factor -15*n**4 - 3*n**2 - 2*n - 5931 + 16*n**x + 0*n**4 + 5931 + 4*n**5.\nAnswer: n*(n - 2)*(n - 1)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 809079.\nAnswer: -1\/809079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4413\/15276 - 16\/64 and -97\/38.\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022112 (base 3) to base 7\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 360 - 3663230?\nAnswer: -3662650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319002993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1434, 4464, 9092, 15318, 23142, 32564?\n\"Answer: 799*z**2 + 633*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3927*g**3 + 3147*g**2 - 768*g + 66. Let o(h) = 54*h**2 + 96*h**2 + 302*h**3 - 59*h - 27 + 92*h**2 + 32. Let f(v) = 27*o(v) - 2*t(v). Factor f(u).\nAnswer: 3*(u + 1)*(10*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 + 0 = 0. Suppose -4*g = -3 - o. Determine f so that -4*f**4 - 37*f + 8*f**2 - g + 37*f - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -928*z**2 - 6*z + 4. What is x(-1)?\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*0\/2. Suppose m - 5 = -5*i. Solve 3*b = -4 + i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 26*f + 1012. List the prime factors of b(8).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6684559*f**2*j**2*l + 10*f*j**2 - 1801*j**2 - 44*l wrt f.\nAnswer: -13369118*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2540 divided by 5?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 11*q - 52*q - 3*q.\nAnswer: -49*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285109894?\nAnswer: 2, 3, 380851649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 13.8, -10, -664 in increasing order.\nAnswer: -664, -10, -0.5, 13.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1716)\/(-2232) + 30\/(-36)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 5*r + 4. Let y be -2 - 30\/6 - -1. Let z(f) = -3*f**2 + 4*f - 3. Give y*z(q) - 5*w(q).\nAnswer: 3*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -31 (c) 264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 147*c**2 - 58*c - 796. Determine v(73).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1377504 and 5624808.\nAnswer: 67497696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 25*d**3 + 3*d**2\/2 - 9*d + 28. Find the second derivative of w(s) wrt s.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182400 + 3676*t + 182400 in the form m*t + z and give m.\nAnswer: 3676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 5 (c) 2 (d) -2\/17 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 14*l - 94. Determine u(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 972 = -b. What is the least common multiple of b and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(2 + (-2 - -1)). Suppose 2*i - 9 - 1 = y. Calculate the remainder when 19 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 11. Let l be d(0). Let y(c) = c**3 - 11*c**2 - 2*c + 10. Let w be y(l). Which is greater: w or -47\/4?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3285378 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 39 - 186 - 109 + 3*h**2 - 121 as q*h**2 + r*h + o and give o.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -119510.\nAnswer: 1\/23902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1534)\/(-3835)*(-20)\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 0, -40 = 5*j - 2*g + 10*g for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628*k**4 - 396*k wrt k.\nAnswer: 7536*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*h + 7053000 + 4447070 + 676288 = 0. List the prime factors of h.\nAnswer: 2, 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -16. Let f = 2.9 + k. Which is the biggest value? (a) 0.5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -11*n**7 - n**3\/3 + 129*n**2\/2 - 196. Find the third derivative of r(u) wrt u.\nAnswer: -9240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*v + 20264 = 0, 6*r + 4*v = 4*r + 10142. Round r to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.851 - -1.551. What is the nearest to p in 47, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(66\/4) - (-76380)\/18810. Solve -m*s - 19 = -3, -h = -5*s - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 14. Let g(r) = -1. Let m(v) = -16*v - 47. Let u(s) = -5*g(s) + m(s). Let x(n) = -7*a(n) - 2*u(n). What are the prime factors of x(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcbc when four letters picked without replacement from bbbbbccbbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-32) - (-1539)\/24. Calculate the greatest common divisor of 160 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-72)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -145*m**2 + 463*m - 80. Determine d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*b = -7, 4*o - 3*b - 9 - 22 = 0. Suppose 2*v - 17 = -4*t + 3, 2*t + 2*v - 12 = 0. Is o at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35827, -36332, -36787, -37168, -37451, -37612?\nAnswer: -37627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 14*b = 7840. What is the highest common divisor of 147 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -5 (b) 1083.9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*u - 5*u - 114*u)*(0*u**2 + u**3 + 2 + 0*u**2).\nAnswer: -143*u**4 - 286*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*c + 2*i, 5*c - 71*i = -76*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -418*h**2 + 474*h wrt h.\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*u + 26, -4*l - 16*u + 14 = -17*u. Solve -2*y = 4*p + l, 0 = 5*p - 4*y + 6*y + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2413 + -2412. Which is the fifth smallest value? (a) -4 (b) -10 (c) 121 (d) y (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/8 and -51\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 47*a**2 - 3*a**2 - 47*a**2 + 4*a**2. Let y(j) = -16*j - 68. Calculate y(n(d)).\nAnswer: -16*d**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-8 - -15 - -1) - (5 + 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -1432516?\nAnswer: 1432466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*j + 4*s - 5*s, -3*s + 15 = 0. Let m(c) = 21*c**2 - 105*c + 201. Let p(w) = 5*w**2 - 26*w + 50. Let v(t) = j*p(t) + 2*m(t). Factor v(b).\nAnswer: -3*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(-5 + (3 + (sqrt(972) - (sqrt(972) + 0)) + sqrt(972) + sqrt(972) + -1*sqrt(972)*-2)*5))**2.\nAnswer: 180000*sqrt(3) + 9722500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, 2*w + z = -3*w + 37. What is the highest common divisor of w and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11264, 17137, 17618, 12707, 2404?\n\"Answer: -2696*f**2 + 13961*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4246, -4236, -4220, -4198, -4170, -4136, -4096?\n\"Answer: 3*o**2 + o - 4250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -11*k**4\/4 - 7*k - 8. What is the first derivative of f(v) wrt v?\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 7:49 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94420 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 + 3*g - 3. Let z(x) = -2*x**2 + 2*x - 2. Let o(u) = 3*s(u) - 5*z(u). Let l = 79 - 75. Let a(b) = -2*b**2 - b + 1. Give l*o(c) - 5*a(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*z - 3272 + 3504 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(0 + sqrt(5808))**2 + sqrt(5808) + ((-1 + sqrt(48))*-5 + 5)**2*-4 + 4.\nAnswer: -40049 + 1644*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r + 108*r + 107*r - 513*r + 108*r + 100*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17312713 (base 9) in base 6?\nAnswer: -510121533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7123*u. Let p(f) = 5*f**2 - 16*f. Determine p(n(d)).\nAnswer: 253685645*d**2 - 113968*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -1\/10*g**5 - 5\/6*g**3 - 11\/12*g**4 + 2*g**2 + 39*g + 0. Let l be y(-5). Is l != -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - v + 335, -2*r - 2*r + 287 = -3*v. Is (11 - (-441)\/(-18))*r\/(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 0.9, 12, -0.4, -1, -1\/195 in ascending order.\nAnswer: -1, -0.4, -1\/195, 0.9, 1.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1080)\/(-100) + -2 + -4 and 4*(-10)\/(-80) - (-26)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:40 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 391548?\nAnswer: 1957740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*d + 151*d + 139*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 16 + 16. Let o(g) = -g. Give w(o(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 5740?\nAnswer: -5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 2534 - 17771 = 6445. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 731\/12 - 241\/4. What is the second biggest value in -1, -3\/4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - 0 - (-8 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2036.25 + -1597.473. Let o = q + -439. What is o rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*u - 9, -5*u + 17 = 2*s + 2. Suppose -f = -2*t - u*t - 25, -t = 3*f - 11. Suppose f*j = -z + 109, -4*j + 3*z + 85 = 6*z. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44451 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: Which is the seventh biggest value? (a) 3 (b) 2 (c) 1 (d) -3\/19 (e) -4 (f) -0.1 (g) -9\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c - 1375. Let k = c - -283. Solve 0*x - 4*p + k = x, -2 = 2*x + 2*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24262037457 minus -0.3?\nAnswer: -24262037456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -40*c**2 + 588*c + 213. Calculate f(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 5*t\/6 - 14.\nAnswer: (t - 7)*(t + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 + 44*m**2 + 2*m + 20. Let l be p(11). Let f be 1 + (-39)\/3*2. Let a = l + f. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9125888?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtm when three letters picked without replacement from mtmmtyytmmtmttymm?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -161 + -2?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7218779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 1011?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7838 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -258. Calculate the remainder when 34 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - j**2 + 5*j - 8. Let y be p(3). What is the first derivative of 43 - 101*a**3 + 20 - y wrt a?\nAnswer: -303*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 + x + 5. Determine v(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2 (b) -0.5 (c) 55107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155604*i + 86*i**2 + 155604*i.\nAnswer: 86*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -141. What is the least common multiple of 24 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14847345 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*q**3*w**6 - 2*q**3*w + q*w**6 - 72*w**2 wrt w?\nAnswer: -6360*q**3*w**3 + 120*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114830028 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3671*t + 6932. Calculate i(2).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -137, -129, -121?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -295192 minus -4?\nAnswer: -295188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -56. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/4)\/(13\/(-52)). Let q be (-1 - (1 + 2)) + u. Which is the second biggest value? (a) q (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129056, 516731, 1162862, 2067455, 3230516, 4652051, 6332066, 8270567?\nAnswer: 10467560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 16 = 14*m - 10*m, 0 = 3*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/8 + 59*b**2\/8 + 225*b\/4 = 0.\nAnswer: -50, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197041 and 4232.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39 + (0 - 0)\/2. Let u = c - 5. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14cc6 (base 15) to base 16\nAnswer: 105c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + ((-3 + sqrt(7))**2 - sqrt(7)) - sqrt(21)\/sqrt(3)*-5).\nAnswer: -2*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1176366 and -1.3378.\nAnswer: -1.4554366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.2 - -0.2. Let i = 7.5 + r. Let v = 173 - 1213\/7. What is the third biggest value in i, -2\/9, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4983236 nanometers?\nAnswer: 0.0004983236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 40. Let r = 74 - b. Find the second derivative of -r*l - 59*l + 104*l - 8*l**4 wrt l.\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37 + (-6)\/(-3) + 1 - 0. Let n = -36 + w. Suppose 0 = n*h - 5*f - 501, 0*h + 5*f + 620 = 5*h. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(36) - (6*sqrt(6)\/sqrt(2))**2.\nAnswer: -108 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -8. Let k = 1 + x. Suppose 0 = -3*c - 4*t + 225, k*c - 3*t - 404 = -0*t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggf when four letters picked without replacement from {f: 7, g: 9}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*p**3*t**4 + 21*d*p**3*t**2 - d*p**3*t - 2*d*p*t + d*t - 24*p**3 wrt t.\nAnswer: -24*d*p**3*t**2 + 42*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 124 = -4*o, -3*o + 14 = -d + 100. What are the prime factors of 2 - (-4)\/2 - o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 19 in decreasing order.\nAnswer: 19, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12)*(-12)\/(-2). Is x\/3 + 16\/12 - -288 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnw when three letters picked without replacement from kwaakkanknnadnnwwdvw.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86897597 to the power of 1\/2, to the nearest integer?\nAnswer: 9322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 636 + -427. What is the greatest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 17*u**2 - 19*u - 10. Let y be c(-18). Let v(b) = 2*b**3 - 2*b**2 - 21*b + 11. Is v(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -331.78, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4 + 31*c**2\/2 - 4277*c - 1557. Find the first derivative of h(w) wrt w.\nAnswer: -12*w**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -3\/8 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(((-40)\/(-4))\/(-10)))\/((99\/(-6))\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 8*a**2 + a + 3. Let w be p(8). Suppose 5*j = 39 + w. What is the least common multiple of 22 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:23 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8894 - -4.\nAnswer: -8890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/166 and 2\/5?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/7)\/j*j*j)\/(((j\/((j\/((j*j**(2\/7))\/j))\/j))\/j)\/j)*j*j\/j**(-13\/4)*j\/(j\/j**(-14)))**(-3\/4) assuming j is positive.\nAnswer: j**(555\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 4*b + 3*s, s + 4 + 137 = b. Let z = 141 - b. Suppose 0 = -4*k - 2*q + 16, 2*k + 2*q + q = z. Solve c + 3 = 2*n, k*c + 2*n = 8 + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 36\/15)*-70. What is the highest common factor of 42 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 4525238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -47 - 62 - 39 + 59*h - 34*h - 30*h. Determine t(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*8 - 8\/2. Suppose -c*l = -0*l - 8. Solve 2*s - s + 5*t = 20, 0 = 2*s - l*t + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m - 3)*(5 - 1 - 2) - 2*m - 1 + 1 - 2 + 2*m + 2 + 19*m - 26*m + 39*m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9162316.6627 + -9161946. Let l = -0.1373 - j. Round l to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*f**3 + 5 - 14*f**3 + 10*f - f**3 as g*f**3 + s*f + o + i*f**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-10) + (-35)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 u, and 1 z when four letters picked without replacement from uyzgysqsyzz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -301113 (base 5) in base 14?\nAnswer: -368d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2114, 1698, 1290, 896, 522, 174, -142, -420?\n\"Answer: a**3 - 2*a**2 - 417*a + 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15*(6 + (2 - 13))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 5. Determine l(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.619 + -3856679746.\nAnswer: -3856679743.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193 - 169. Solve -4*o - 5*s - f = 0, 3*o - 7*s = -3*s + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -0*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61, 0, 4, 16 in descending order.\nAnswer: 16, 4, 1, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:53 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.906 + -21.094. Put -3, h, 1, 4, -6\/7 in descending order.\nAnswer: 4, 1, -6\/7, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50374496 and 6.\nAnswer: 151123488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.8167 to 1 dp.\nAnswer: -83.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -578 + 407. Is h less than or equal to -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 1, z: 2, n: 1, v: 7}. What is prob of picking 2 g and 1 v?\nAnswer: 196\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-2)*n)))**(-4\/27)*n**(-1\/11)*n*n*n*((n*n**(-7)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-1765\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6*p + 1. Let k(c) = -c**3 - 3*c**2 + 3*c + 5. Let u be k(-4). Let h(s) = -s**3 + 9*s**2 + 2*s - 12. Let z be h(u). Determine n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13192 by 11.\nAnswer: 13192\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 + b + 2*b**3 + 4*b**4 + 3*b**4 - 2*b**2 to r*b**2 + g + h*b + m*b**4 + a*b**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 5*s**2 - s**2)*(2*s - 5*s + 0*s + (-36 - 3 + 24*s - 22*s)*(13 + 1 - 7)).\nAnswer: 11*s**3 - 273*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/7 (b) -5 (c) -0.1 (d) -14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93774*k**2 - 4*k + 4*k - 93746*k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23033110132 (base 4) to base 8.\nAnswer: -13172436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from campxpmxmxmaxa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(2\/3)\/f))\/f)**(-4\/19))**(3\/25) assuming f is positive.\nAnswer: f**(8\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 2, r: 1, c: 1}. Give prob of sequence ys.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 6. Suppose 60000 = s*d + d. What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 48. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8439?\nAnswer: 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18752832.32 + 0.06.\nAnswer: -18752832.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/997990 and 151\/2226.\nAnswer: 2993970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -527, -1060, -1593, -2126?\n\"Answer: -533*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-990)\/(-385))\/((-45)\/(-168)) + 21\/(-3)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and -1.08?\nAnswer: 49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v. Let j(u) = -13*u - 1. Suppose -4*k = 8*k + 1272. Let h = -91 - k. Suppose 5*d = -h + 5. Give d*j(t) - 5*a(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940 + 940 + 25*c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 673 - 500. Let x be (-2)\/(-4)*(-2 + 72). Suppose x = 3*k - 2*k. What is the remainder when a is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 53771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051474 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -269, -737, -1631, -3095, -5273?\nAnswer: -8309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9 - 2*v + 9. Let k(x) = 8*x**2 - 5*x + 5. Let t(w) = -9*w**2 + 6*w - 6. Let i(c) = 6*k(c) + 5*t(c). Give i(s(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + y - 626 - 1534, 5*n + 3*y - 3596 = 0. List the prime factors of n.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -i + 4213, -i = c + 23 - 4221. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30219378401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 4\/105*y**7 - 2\/75*y**6 + 0*y**2 - 1\/15*y**3 - 9\/50*y**5 + 108*y - 11\/60*y**4 + 0. Factor t(l).\nAnswer: l*(l - 2)*(2*l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66824017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65*(497\/21 + -10). Let f = -883 + y. Factor 20\/3*z**2 - 4\/3*z**3 - 32\/3*z + f.\nAnswer: -4*(z - 2)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 - 314 + 32)*(-3*j**4 + 6*j**2 + 3*j**4 - 2*j**5).\nAnswer: 1134*j**5 - 3402*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410384 divided by 8?\nAnswer: 51298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 9 (c) -39 (d) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 32*s**2 - 217*s - 118. Give f(17).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 32. Find the common denominator of ((-12)\/8)\/(r\/(-177)) and ((-108)\/10)\/((-11)\/(-5)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g = 9*r + 258, 4468*g = 4465*g + 5*r + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499140 divided by 99828.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - 612*i + 12. Let y(l) = l**2 - 3*l + 2. Calculate d(m) - 5*y(m).\nAnswer: m**2 - 597*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 1:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2131*f**3*i**3*x - 2*f**3*i**2 + f**3*i*x - 2*f**2*i**2*x + 58*f**2*i*x wrt i?\nAnswer: 12786*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 1694, 1698?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.324 + 0.3. Round m to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 150\/5*4\/12*(-189)\/(-14). Solve -c = -9*v - 207 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.5 - 155.5. Sort -4, -3, q in descending order.\nAnswer: -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y - 36. What is the common denominator of 14\/8 - (y - -21) and (-101)\/(-14) + (2 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n - 91. Determine b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 20)*(-6)\/(-8). Let g be 4\/c + 42\/27. Factor 2*j**3 + 2\/3*j**2 - g*j + 0.\nAnswer: 2*j*(j + 1)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g**2 - 6*g - 5. Let x(a) = -7*a**2 - 2*a - 2. Suppose -9*k - 223 + 259 = 0. Give k*b(j) - 11*x(j).\nAnswer: -3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 4*-6*4*(sqrt(162) + sqrt(162) + 3*sqrt(162)))**2 + -3.\nAnswer: 17280*sqrt(2) + 74649599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 1051*p + 61131. Calculate n(176).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.4. Let j(y) = y**2 - 10*y + 22. Let z be j(7). Let i = -292 - -292. Which is the closest to i? (a) -0.3 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 2*g + 2*r + 12, -2*g - 24 = 8*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 8.7.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 - 79*r + 13. Let c be p(-15). Which is greater: 71 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774 and 205753839?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 - -85 - -2. Let v = -46 - -50. Suppose 0 = v*a + 4*t - w, -5*a - 4*t + 101 = -4. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9835*g**5 + 51*g**4 - 147*g**2 - 168*g.\nAnswer: -590100*g**2 + 1224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32, 1.01, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 8. Suppose 0 = 12*a - 13*a - 4. Let o be j(a). Calculate the remainder when (-1 + o)\/(4\/(-212)) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46965, 2\/5, -0.3, 554, 2 in ascending order.\nAnswer: -0.3, 2\/5, 2, 554, 46965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85074141 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) - (5 + sqrt(117))).\nAnswer: 20 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -23008996.61 to the nearest 100000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 48331300*x\/3 - 291989319961250\/3.\nAnswer: -2*(x + 12082825)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y - 12. Let q(a) = -a**3 + a - 7. Let x be q(0). Calculate the remainder when d(x) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2356 - -434. What is u rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 207859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 - 2) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/8)\/((-1)\/4). Does 14 divide (171\/15 + -2)*5*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1.6. Let m be (-6)\/(-27) - 50\/(-18). Suppose 0 = 2*x - m*n - 17, -8*n + 4*n - 16 = 4*x. What is the nearest to 0 in x, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80668014 divided by 69006\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (595\/525 + 1\/(-3))*-5 - -8. Solve 0 = f*g - 6*g + 5*h + 2, -5*g - 30 = 5*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9076060 divided by 538?\nAnswer: 16870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 53 = -2*n - 32, 0 = 3*c - 6*n + 5 - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/(0 + (-170)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 21. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138221744.000087 - 138221855. Let v = z - -111. What is v rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y**2. Let s(p) = -5*p. Let l(b) = 6*b - 5*b + b + 5*b. Let i(v) = -2*l(v) - 3*s(v). Determine i(f(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9215 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -4316?\nAnswer: 4359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g = -76*g - 6. Let y(l) = l**3 + 4*l**2 - 10. What is the remainder when 156 is divided by y(g)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*h + 24 + 418*h - 209*h + 14 to the form t + o*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 6, 5, 3\/14, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 4*t - 8*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -94\/183689 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187993773 to the nearest integer?\nAnswer: 13711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -11*o - 29*o. Calculate the greatest common factor of o and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k**3 - 565*k - 36*k**4 + 376*k**3 + 741*k - 544*k**2 = 0.\nAnswer: 0, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*b - 10 = -445*b + 3*k, 2*k + 12 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 31. Determine k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6 - (7 - (14 - 6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 28) + -23 - 6\/3\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92919 and 230650?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 65\/(-15) + (-2)\/(-6). Let d(r) = -1. Let v(z) = z + 9. Let w(t) = c*v(t) - 36*d(t). Let j(g) = g**2. What is j(w(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -14. Let k = 372 + -374. Which is the fourth smallest value? (a) 2 (b) w (c) k (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22937 = 2523*a - 2753 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-6)*6\/(-5). Let h(j) = -2*j**2 - 7*j - 5. Let o(a) = 2*a**2 + 6*a + 4. Give z*h(u) + 5*o(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - 486006\/(-18). Round b to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q - 45750 = -11*q. What are the prime factors of q?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 156\/(-10) - 20\/50. Let s = -16 - n. Let c be ((-4)\/4 + s)\/((-1)\/(-3)). Let q(f) = 5*f - 1. Give q(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -41. Let i(h) = -h**2 - 22*h - 119. Let r be i(o). Which is smaller: -159 or r?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2613 (base 7) to base 10\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1376 by -6646.\nAnswer: -688\/3323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (0 + 8 - (-376 + 370)) + -69?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3702900 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -135*u. Let s(v) = -v. Calculate x(s(o)).\nAnswer: 135*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85560 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:54 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306\/765 - ((-4488)\/5 - 3) is divided by 284?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67934271 to the power of 1\/2, to the nearest integer?\nAnswer: 8242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w. Let j(y) = -61444*y. Determine j(z(s)).\nAnswer: -860216*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2\/3 + 2596368*q + 31156480\/3 = 0.\nAnswer: -4, 1947280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 20*w - 17. Let r be a(-9). What is the third smallest value in r, -1\/3, -4\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*f**5 + 575*f**2.\nAnswer: -7440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 10. Solve -4*q = -3*q - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdazzaaqzaca. Give prob of sequence aczd.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/20 - i**4\/12 - i**3\/3 + i**2. Let x(p) be the first derivative of j(p). List the prime factors of x(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 2*v, 5*s - 5*v + 3 + 17 = 0. Sort 5, -1, s.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411014 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:31 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903720?\nAnswer: 2, 3, 5, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56666 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17.9. Which is the closest to -1? (a) 1.6 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - (-22 + -2 + 2 - 25)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 853*c**2*w**3 - 162*c**2*w - 117*c*w**3 + 67*c*w**2 - 5*w**3 - 3*w**2 - 2 wrt c?\nAnswer: 1706*w**3 - 324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4643560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8575942, -17151908, -25727874?\n\"Answer: -8575966*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53408 - -113623. What are the prime factors of s?\nAnswer: 5, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4262 - 1263. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4544 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.82777 decades to months.\nAnswer: 3699.3324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**3 - 198*r**3 + 212*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1486962639 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwdrjtrjtjr. Give prob of sequence wjtd.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - -157. Suppose t + 10*w - 13*w = -6, b*w + 30 = -5*t. Let q = 0.01 - -0.29. Is q > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19418800 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 3*i - 5. Let t be v(-6). Calculate the lowest common multiple of 16 and t - (-5 + (0 - -2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, z: 2, t: 1, w: 1, u: 4}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*k**4*v**3 + 416*k**2*v**3 + 2*v**3 + 2*v**2 - 29657 wrt k.\nAnswer: 300*k**3*v**3 + 832*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**3 - 4*m**2 - 15*m + 89. Is a(-7) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6754 divided by 2.\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 3576546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48021 (base 11) to base 14.\nAnswer: 1b335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1.069868?\nAnswer: -0.3209604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*r - 1900 = -31644 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(1 - -1). Suppose 0 = 3*j - 5*j + 3*j. Differentiate j*a + f*a + a + 5 wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/15)*s)\/((s\/(s**(2\/11)*s))\/s)*s**(1\/11)*s\/((s\/(s\/s**13*s))\/s) assuming s is positive.\nAnswer: s**(-1121\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/442974 and -107\/42.\nAnswer: 442974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z + 7. Let v be k(5). Suppose -1343*d + 1368*d = 100. What are the prime factors of 6 + (v\/(-4) - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*g + 9*g + 56. Solve c = g*q + 7, -2*q = 3*c - 10 - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8629.438t?\nAnswer: 8629438000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 334. Let x = b - -213.999961. Round x to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = m - 21, 0 = -m - b + 2*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2190 divide 115212431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 59684391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 907\/4, 1, 0.1, 0.3 in increasing order.\nAnswer: 0.1, 0.3, 1, 907\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1170779141 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(104 - 29*f**2 - 104)*(17*f + 4 - 4) to k + l*f**2 + d*f + r*f**3 and give r.\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5212 - -5238. Solve -d*u = -28*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -8)*1*(-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/19, 0.011036, 2 in ascending order.\nAnswer: -5\/19, 0.011036, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - a**3 + 0*a**3 - a**3 - 2*a**3 + 0*a**3 + (3 + 2 - 4)*(-3*a**3 + 0*a**3 - a**3) - a**3 - 3*a**2 + 3*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 3*a**4\/8 - a**3\/6 - 110*a**2. Let l(o) = o. Calculate -3*l(y) + t(y).\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -467 - -6?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*m**2 + 2 + 7 + 348*m**2 - 4 - 5.\nAnswer: -148*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3227.013 - 36.013. Put 5, 1\/2, u in descending order.\nAnswer: u, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:54 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(3388) - ((-2*sqrt(3388))**2 + sqrt(3388) + 5)).\nAnswer: -13557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35511 (base 6) to base 4\nAnswer: -1100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -11, 8, -3, 4, 2 in ascending order.\nAnswer: -11, -3, 2, 4, 8, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2 + 2 + (sqrt(180) + 0)**2 - ((sqrt(50)*-3*6)\/sqrt(10))**2) + 2.\nAnswer: -1436 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -13, 1\/31, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 236*i**2 - 967*i - 2591. What is d(63)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - 0 - ((397 - 240) + -118).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35259002 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {r: 2, l: 8, d: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*y**4 + 5409*y**3 + 1785*y**2 - 2997*y + 600 = 0. Calculate y.\nAnswer: -200, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2. Let i(u) = -70*u**2 - u. What is i(f(k))?\nAnswer: -630*k**4 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006216 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -3*n, 0 = -i - 4*i - n - 22. Let p = 8 + i. Suppose -p*o = 2*w + 2*w - 224, -217 = -4*w + 3*o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 1. Let x(a) = a**2 + 1. Let z be (658\/(-28) - -21)*(3\/(-5) - -1). What is z*n(c) + x(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -19.59, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 11. Let h be (z\/2)\/((-3)\/(-4)). Suppose -2*w = -t + 3 + 7, 0 = 3*t + w - 30. Calculate the greatest common factor of t and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 - 246. What is the second derivative of g + 8*g**f - 4 + 12*g**2 + 10*g**2 - 6*g**2 wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**10\/151200 - a**6\/240 + a**5\/60 - 2*a**2. Let l(d) be the third derivative of b(d). What is the derivative of l(h) wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, b: 3, m: 2, a: 1, g: 1}. What is prob of sequence mtat?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -4*m, -2*v - 4*m = -0*m - 12. Let z = -1.4 + -0.6. Which is the nearest to v? (a) z (b) 2\/19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(7\/(-42)) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 3*a**2\/2 + 4*a - 1. Let t be j(-3). Solve 0 = b + 5*k + 1, t*k + 5 = -3*b - 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(-5 - -10). Which is the closest to 0.1? (a) -3 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5292 and 70.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 162*h + 4586. What is g(57)?\nAnswer: 1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21658)\/3092 + ((-15609)\/(-2193) - 2\/17) and 67\/1546.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214294065 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 291200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-25))\/(-12*3\/(-180)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**9\/10080 - g**6\/144 + g**5\/60 + 4*g**2. Let b(j) be the third derivative of f(j). What is the derivative of b(n) wrt n?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*1 + -1)**2 - -2*sqrt(20)\/sqrt(4)) + 4*sqrt(80)*5.\nAnswer: 6 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = w + 77, -3*j - 75 = 6*w - 5*w. Let l be (-26)\/w + ((-332)\/(-3))\/1. Let q = l - 13. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -31 + 5*x**3 + 12*x**2 - 3\/4*x**4 - 36*x. What is j in u(j) = 0?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1229*m**5 - 1206*m**2.\nAnswer: -73740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b - 1915. Let z be y(-91). Sort -1, z, 5738 in descending order.\nAnswer: 5738, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(1836) - 1*sqrt(1836)) + sqrt(1836) - sqrt(1836) - sqrt(816)*-2))\/(-3*sqrt(192)*-2*-5))**2.\nAnswer: 17\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685 = -147*w + 5282 + 6189 + 2562 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -27. Let k = s + -36.99908. Round k to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11465332 (base 7) to base 8\nAnswer: -3721307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*v + 13, 5*v = -0*r + r - 28. Suppose 530 = 2*f - r*f. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 22*q + 4. Let c be h(-3). Is c\/(-3)*21\/14 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/15)\/((-172)\/473 - 152\/(-55))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 3*u**4 + 4*u - 2*u**4 + 0*u**4 + 4*u**4 + (-u**3 - u**2 + u**2)*(2*u - 5*u + 4*u) + (u - 6*u + 0*u)*(-4*u - 3*u**3 + 4*u).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(120)\/sqrt(3) - sqrt(40) - sqrt(40))\/sqrt(5)*1)\/((3*(sqrt(20) + sqrt(80)\/sqrt(4)))\/(-2*sqrt(720) + sqrt(720) - sqrt(720))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129361, 129385, 129399, 129397, 129373, 129321, 129235, 129109?\nAnswer: 128937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 q when three letters picked without replacement from xqqqqbxqqqbxqxqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from eseeseeeeee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/67417905 and 11\/6?\nAnswer: 134835810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/12*(-10)\/40. What is the closest to -1 in 8\/9, 2, i?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:58 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.92 times -2.1\nAnswer: 4.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 7 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 19. Suppose 0 = 4*j - 8 - 0. Suppose u = -j*u + t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - o - 3*o - 4*o**2.\nAnswer: -2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*z + 14671 = -3477 - 1274 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 20010?\nAnswer: 15554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*k**2 - 6*k**2 + 3*k**2 - 129*k**2.\nAnswer: -328*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11416343 is divided by 1892?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t = 2. Let m be (-5 + 11)*3\/9. Find the second derivative of -2 + m*s**2 + 10*s + t - 5*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**4\/24 + 35*c**2 + c. Let u(q) = -284*q**2. Determine f(u(x)).\nAnswer: -284*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0785 or -1335?\nAnswer: -0.0785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -24\/37 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/14 (b) 0.4 (c) -599 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -9, -23, -49, -93, -161, -259, -393?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -134, -8742, -2.\nAnswer: -8742, -134, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzvtzv. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -228692 divided by -1\nAnswer: 228692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1461 + -896. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2601 = -102*j + 867 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + -157579984240.\nAnswer: -157579984223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:24 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 36*i + 8. Let l be s(-14). Let n = l - -108. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8004.241 micrograms?\nAnswer: 0.008004241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**6 - 9*i**5 - 129*i**4\/8 - 29*i**3\/2 - 27*i**2\/4 - 3*i\/2 - 7. Solve n(q) = 0 for q.\nAnswer: -1, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27\/37 - -105\/296. Let x = 1 + -0.9. Suppose -y + 3*y = 4*u + 24, -4*u - 4*y = 12. Which is the closest to x? (a) u (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 5448 = -5392. Solve 3*p + n - 2 = 0, p + t*n = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64682 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 1, r: 4, e: 6, f: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97052296 to the power of 1\/2, to the nearest integer?\nAnswer: 9852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71318*z**5 - 4*z**2 - 174*z + 3.\nAnswer: 4279080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 46. Let q be c(11). Let x(o) = -7*o**2 - 5*o + 2. Let n(m) = -15*m**2 - 12*m + 5. Let j(p) = q*x(p) + 6*n(p). Calculate j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away 529931608?\nAnswer: -529931586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6899\/5 in -4, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(10*2\/(-4) - -16). Solve 2*b - x = -5*n, n = -4*n - 4*b + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 576736 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1856342 divided by 59882\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 57288424.\nAnswer: -57288415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 19*a - 4*a + 4*a as s + t*a and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055001 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-7577.\nAnswer: -45462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/15 + 7*f**4\/6 + 8*f**3 + 2*f**2 + 90*f. Determine w, given that p(w) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4892860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (4 + (sqrt(448) - (sqrt(448) + sqrt(448) + 3 + sqrt(448) + sqrt(448) + -3)) + -3)*-6)**2 + 0.\nAnswer: -3168*sqrt(7) + 145276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305 + 3900 + 5145 = 516*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)*c**(-3))\/((c*c**(2\/9))\/(c*c**6))*(c**2*c\/(c*(c\/((c**(-2)*c)\/c))\/c)*c*c)\/((c**5*c)\/c*((c\/(c**(-6\/11)\/c)*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(-251\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(24*i - 32*i**5 + 35*i**5 - i**5).\nAnswer: -2*i**5 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 14*x + 10*x)*(2*x - 4*x - 5*x) - 4*x**2 + 2*x**2 - x**2.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {f: 4, p: 1, q: 1, i: 1, d: 4, n: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.14*1771\nAnswer: -3789.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 41100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1330)\/(-8645))\/((-46)\/(-13)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*z - 35*z - 277*z)*(2 - 3 + 3) - 3*z + 4*z - 3*z.\nAnswer: -710*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64735856657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4249 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -172446 (base 8) to base 5\nAnswer: -4002013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3372473192 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18759320 to the power of 1\/2, to the nearest integer?\nAnswer: 4331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*i + 48 = 0, -2*i = -4*g - 5*i + 95. Let b(p) = 2*p + 113. What is the remainder when b(11) is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*l - 2*y, 3*l + 5*y = l + 27. Which is the third biggest value? (a) 0.3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.64 - -0.7. Let t = z + -5.06. What is the second biggest value in t, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.867343 decades?\nAnswer: 0.01867343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 115. Find the second derivative of 2*i**2 - 75 - 14*i - 5*i**2 + o wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1900 divide 34572867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 0, n + 2*z + 2*z - 292 = 0. Suppose 289*g - 55 = n*g. Let k(d) = -8*d - 6. Let i(q) = 16*q + 11. Give g*k(y) + 6*i(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 2*c**3 - 10*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l + 5. Let u be d(4). Let j(z) = 9*z**2 + 7*z + 2. Let n(w) = -10*w**2 - 7*w - 2. Let i(c) = 4*j(c) + 3*n(c). Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 2.6. Let s be 20\/(-70)*-7 + -6*(-60)\/(-72). Sort s, q, 2 in decreasing order.\nAnswer: 2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 54334.15147.\nAnswer: 54331.15147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-18)*12\/24*(-58)\/((-2204)\/(-513))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*c - 21 - 54, 41 = 2*c + r. Calculate the lowest common multiple of c and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 23*v - 29. Determine n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 0, -5*x + 4*w = 3*w - 8. Let m be (-8)\/24 - x\/3. What is the smallest common multiple of (0 + m\/(-2))*20 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4731.6 - 4732. What is the fifth smallest value in 0.1, z, -4, 9, 0.14?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -519, -51\/146, -4.\nAnswer: -519, -4, -51\/146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -2, 17, -154 in descending order.\nAnswer: 17, 9, -2, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7240\/15767 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124728, -3, 95 in descending order.\nAnswer: 124728, 95, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1390599 + -1390598.8200009. Let i = 0.18 - y. Round i to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28804 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*(a\/a**(-8)*a)\/a*a*a)\/(a*a**(-5)))**(-21))**(-2\/75))**(-12\/5) assuming a is positive.\nAnswer: a**(-2856\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-38)\/14 - (-2)\/(-7). Suppose -3*k + 1561 = -2*k - g*b, 10 = -5*b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21*o**2 + 40*o**3 + 2*o - 38*o**3 + 6*o + 25. What is the remainder when 13 is divided by d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8749, 17526, 26305, 35086, 43869, 52654, 61441?\n\"Answer: i**2 + 8774*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/12525 and 179\/20040?\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.0342292 + 18088.6269292. Let i = c + -18035.5. Let f = 10.1 - i. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 - -631. What is the remainder when 261 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 2*i**2 - 4*i**2 + 0 + 0 + 2*i**2 + (1 - 1 + 2*i)*(0 + i + 0) - 7*i**2 + 2*i**2 + 4*i**2 + 0*i - i**2 + 0*i + 19*i - 12*i - 7*i + 329*i**2.\nAnswer: 330*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4322*d - 4327*d - 31 = 4*v, -v + 2*d = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2898 and 502341390.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2506116 is divided by 919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/7)\/(0 + 4 + -2). Let t(x) = 4*x - 62700. Let o be t(s). What is o rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -251*d - 496. Let k be a(-8). What is the highest common divisor of k and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/7 and -30\/79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 1\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31185 - 31192. Let m be -1*(3 + 0\/3). Put 12, m, n in decreasing order.\nAnswer: 12, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/6 + i**3\/6 + i. Let u = -7 - -9. Calculate the least common multiple of 1 and s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10888288 (base 9) to base 13.\nAnswer: -1140944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/7, 3, 4, -407, -2\/9 in descending order.\nAnswer: 4, 3, 1\/2, 2\/7, -2\/9, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0 + f + 1 + 0. Let h(w) = -16*w - 18. Let y(s) = -2*h(s) - 36*j(s). Let b(n) = n. Calculate b(y(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339038 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*v + 7 + 22, -n = -3*v - 11. Suppose n = -3*g + 26. Calculate the remainder when 22 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 45*n**3 + 54 - 55 - n**3. Suppose 5*k + 15 = -5*w, 0*w - 4*w - 20 = -4*k. List the prime factors of y(k).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75213*f**4*o - 206*f*o**2 + 122845268*o**2 wrt f.\nAnswer: 300852*f**3*o - 206*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 8*p - 10. Let f be x(8). Let w = -8 - f. Suppose 2 = 3*a - w*h + 8, -a + 5*h - 2 = 0. Let m(u) = 2*u**2 + 2*u + 3. Give m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(9\/(270\/25)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 78770000 to the nearest one million.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h**2 + 2*h)*(6*h - 2*h + 0*h)*(-28 + 9 - 27).\nAnswer: -368*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(468))*6 - 4*(sqrt(468) + 1) - (4 + sqrt(468) + -1 + sqrt(468)*-1))*3.\nAnswer: -21 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 21. Let d = i - -10. Let q(u) = u**2 - 6*u - 13. What are the prime factors of q(d)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948578 by 179.\nAnswer: 948578\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51266 less than -0.175488263?\nAnswer: 51265.824511737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70594?\nAnswer: 2, 47, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4997 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -102. Solve 1 = -3*n + j*s - 20, 31 = -5*n + 2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/2*(0 + 1). Suppose -131975 = s*l + 5*q, -q + 3 = -2. Let x be ((-90)\/(-1))\/(3\/l). What is x rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26527878 rounded to 3 dps?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1938493 and 37\/101?\nAnswer: 1938493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 546, -95, 1, 16, 0 in decreasing order.\nAnswer: 546, 16, 3, 1, 0, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2310 and 15505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = k + 33, -h + 4*k = -1762. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x + 70. Let g be c(-3). Let d be 4\/g - 30\/68*-2. Solve d = 4*b + 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from tttqqttqttqtqqtqqttq.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*f**5 + 0 + (-1 + 14*f - 14*f - 2*f**2)*(f**3 + f**3 - 7*f**3).\nAnswer: 12*f**5 + 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2881 - 2880.2. Sort -0.8, t, -5\/2 in descending order.\nAnswer: t, -0.8, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 17, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 36807 = 3*n, -39*n - 36807 = -42*n - 3*s. What are the prime factors of n?\nAnswer: 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.4, 3, -1\/9, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 78 = 20. Let q = -116 + 72. Let w = s + q. Calculate the least common multiple of w and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7029 divided by -3\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 16) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 2*i + (283*i - 186*i - 467*i)*(-2 + 5 - 2)*(1 - 1 + 1))*(-i + i - 5*i).\nAnswer: 1855*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-279)\/(-315))*-9*105\/(-7938).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (-12 + (83 - 54) - (5 - 0))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nteqnppg. What is prob of picking 1 t, 1 q, and 2 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -571*n**2 + 526*n?\nAnswer: -1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77208475.\nAnswer: 5, 17, 181667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 4*f - 4. Let q(m) = 2*m**2 + 4*m + 4. Let d(b) = 5*q(b) + 4*v(b). Let w(s) = 2*s**2 - 5*s - 5. Calculate 5*d(g) + 4*w(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 5 (c) -6\/10187 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w\/(w\/(w\/(w*w**(-1\/4)\/w*w*w*w))))\/((w**(-1\/3)\/w)\/(w*w**(-9\/4))) assuming w is positive.\nAnswer: w**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.9 - -48. Which is the closest to s? (a) 4 (b) -12 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 9*y - 13*y)*(-4 + 4 + 2*y)*(-18 + 17 + 29) as n*y + u + p*y**2 and give p.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oolopollkoolpllop. Give prob of sequence klk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/9 (b) -0.4 (c) -0.06 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + -42171134421.\nAnswer: -42171134420.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1816 and 69\/56.\nAnswer: 12712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = 2*a, -3*a - 1 = -0*b - 5*b. What is the second derivative of 3*k + k**2 - k**2 + 2*k**2 - k**b wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 - -41 - (-32 + 16)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2908 divided by -2.\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7*r - 1\/2*r**2 + 1\/6*r**3 + 0. Suppose 2*i - 35 = 6*i + 3*f, -2*f - 25 = 3*i. Determine d(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22612041143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - 1 - -1. Let x be 75\/(-158) + -1 + q. Let o = 2\/79 - x. Sort o, -4, 0 in decreasing order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.333 and 1324.9281621.\nAnswer: 1329.2611621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:21 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22678 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.98 - 1.98. Sort -52, z, 3\/5.\nAnswer: -52, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus 116796848825?\nAnswer: 116796848825.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Solve 3 = -d, -u - 2*d = -o*u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k. Let h(m) be the first derivative of -2*m**3\/3 - 3*m**2\/2 - 3*m - 3. Let x(l) = l**2 + l + 1. Let j(d) = -h(d) - 3*x(d). Calculate n(j(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*o**2 - 22*o**2 - 3*o**2 + 74*o**2 + 8 + o to s*o**2 + g*o + a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 204*x. Let k(f) = -163*f - 15. Let h(c) = 225*c + 21. Let s(u) = -5*h(u) - 7*k(u). Determine b(s(r)).\nAnswer: 256*r**2 + 3264*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -55\/254 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 1, t: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:11 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034, 1026, 1010, 986?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 447.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.6564 + -69.6817. What is g rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-18 - (-48 - -18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 9. Suppose -17*p = -x*p + 60. Solve -6*k - p = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 0, -0.2, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235377\/25 - -9415. Which is the third smallest value? (a) s (b) 29 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 405\/(-25) - 3\/(-15). Let w = 20 + v. Solve -w = -f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 18. Let m be g(12). Let p(z) = -4*z**2 + 4 + 2*z - 5*z + 5*z. Let f(n) = 11*n**2 - 6*n - 11. Calculate m*f(h) - 17*p(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -11*h**2\/2 + h - 3218. Let t(a) = -102*a. Give n(t(i)).\nAnswer: 1122*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 4271*u - 94 + 4269*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**8\/10080 - n**7\/840 + n**6\/240 - 7*n**5\/30 + 3*n**2. Let t(l) be the third derivative of a(l). Calculate t(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/360 - y**4\/4 - 2*y. Let r(x) be the third derivative of q(x). Let a(g) = 4*g + 0*g - 2*g. Give r(a(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 3*t + t**3 - 5*t - t - 3*t as w*t**3 + q*t**2 + p + x*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 5 + 13. Let v = 2 + 0. What is the second derivative of -v*y + y + 4*y**d - 2*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.7 - -10.8. Let f = y - 0.1. What is the third biggest value in f, -2, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w + 11. Let p = w + 6. Suppose 3*b = 3 + 3. Solve -p*y = -y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*f - 141*f = 10. Solve -m + 3*z = 7, -f*m + z + 5 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4443 + -3.0443. What is the nearest to 1.7 in w, -4\/7, 2, 0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.5 and 444.55?\nAnswer: -23338.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1017 + 357*b + 1019 + 82*b + 138*b as v*b + f and give v.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-18))\/(4\/(-180)). Let y = 146 - z. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(33)\/sqrt(3)))**2 - ((-1*sqrt(121) - sqrt(121))\/sqrt(11) + -1 + sqrt(99))**2.\nAnswer: 96 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -309\/5 in -4\/3, -1, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, n: 5, u: 1}. Give prob of sequence nn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161091456*o**3 - 3731*o**2 + 3*o - 3256 wrt o?\nAnswer: -966548736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(4\/276). Suppose -n - 4 = 2*i, -5*i - g = -4*n + 13. Find the first derivative of 0*t + 2*t - 2*t - n*t - 6 wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267794775*-4\nAnswer: -1071179100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.578 - 14.578. Sort 0.3, 6\/5, w, 2 in descending order.\nAnswer: 2, 6\/5, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 7:03 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 1, s: 6, a: 1, n: 7}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*g + 6569 = 1221*g + 53751 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 31*v**2 + 51*v**2 - 22*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4972929 and -115\/24?\nAnswer: 39783432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 530 - 460. What is the remainder when 207 is divided by i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-8) - -1*101. Let y be 0 + -3 + -1*o\/(-5). Let f(z) = -z**3 + 17*z**2 + 19*z - 21. Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -157*x + 5656. Calculate g(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75606527 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77256, 308900, 695018, 1235604, 1930652, 2780156, 3784110, 4942508?\nAnswer: 6255344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 48. Let q = b - 101. Let j = q + 42.0005. Round j to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c + 1. Let n(b) = -4 - 2*b**2 - 1 - b - b**3 - b**2 + 4*b. Let i be n(-4). What are the prime factors of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:01 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1557*x = 1583*x - 5720. What is the least common multiple of 1100 and x?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748 greater than or equal to 2754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 6*q + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 71743953*h + 143487894.\nAnswer: 3*(h + 2)*(h + 23914649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.2. Let j = -2 + 3. Let c = -2 + j. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94354.\nAnswer: 2, 13, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 2. Let c(k) = -73*k**3 - k**2 - 50*k + 48. Calculate 2*c(n) - 50*o(n).\nAnswer: -146*n**3 - 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4100002354 + 2.41. What is u rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*2.27.\nAnswer: 2.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 + 145 + -10 + 2 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1421 + 1?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y - 221. Calculate i(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751\/46 < -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 194\/8 - (-3)\/(-12). Suppose -h = h - u. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*i - 4*i + 22, r = -3*i + 12. Factor 12\/5*x**3 - 21\/5*x**i + 0 - 6\/5*x.\nAnswer: 3*x*(x - 2)*(4*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3067 - 1450. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:20 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 352609.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*r + 58, -4*r + 2*t + 75 = 31. Let b be (r\/14)\/((-77)\/49 - -2). Solve -2*p - b*p = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/15 + 8*y**4\/15 - 32*y**2\/15 - 32*y\/15 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Suppose -21*c = 3827 - 3785. Let n(h) = 10*h - 8. Calculate c*n(v) - 18*p(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 433316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118069 is divided by 505.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 10\/9*n**4 + 2\/9*n**5 + 8\/9*n**3 + 0*n**2 + 0.\nAnswer: 2*n**3*(n - 4)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10 + 3 + x**2 - 3 + 1.\nAnswer: x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**6\/20 + 170*b**3\/3 - 22*b**2 - 2*b. Differentiate f(h) with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 8*v**6\/15 - 2*v**5\/3 - 11*v**4\/12 + 19*v**3\/18 + v**2 + 23*v + 2. Let w(a) = 0. What is a?\nAnswer: -2\/3, -1\/4, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c**3 + 6*c**2 - 9*c + 172. Let d(m) = -m**3 + m**2 - m + 1. Let q(g) = -6*d(g) + r(g). Differentiate q(k) with respect to k.\nAnswer: -15*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-72)*4*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -21.856?\nAnswer: -196.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -1)*357\/1190. Let 18\/5*b**2 + 0*b**3 - 3\/5*b**4 + 24\/5*b + i = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -59256?\nAnswer: -59256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -2675 in increasing order.\nAnswer: -2675, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 169.945, -3\/46 in increasing order.\nAnswer: -3\/46, -0.01, 169.945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(-54)\/(-13860) - (-1)\/(22\/(-4)). Which is the second biggest value? (a) -4 (b) 2 (c) -1\/33 (d) 1 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -7*k**4\/12 - 9*k**2. Let z(j) = 2*j**2. Give z(a(o)).\nAnswer: 392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/3, -10, 0.2, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*n - 12. Suppose -m + 0*m = -2*i - 5, -5*i - n*m - 18 = 0. What is the remainder when 102 is divided by (-2)\/i + 380\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 5, l: 2, c: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 906, 1811, 2716, 3621, 4526, 5431?\n\"Answer: 905*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 6*m**2 - 3*m - 3. Give g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 77564*m**2 + 212089920*m + 157288308912.\nAnswer: 4*(m + 1554)**2*(m + 16283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*i - 30 = 0, 2*u = 3*i + 1 + 5. Let y be -1*(-1 + -3) + 1. Suppose -u = -y*v + 4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -59034?\nAnswer: 58990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.64 - 63. Let w = d + -5.64. Which is the nearest to 2? (a) 0.1 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reorxxj. What is prob of sequence eo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 18*n - 53. Let k be m(-5). Solve k*l - 2 = 10*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 190. Let t(w) be the first derivative of w**3\/3 - 7*w**2\/2 - 4*w - 1. Let u be t(7). Sort u, o, 0.4 in decreasing order.\nAnswer: o, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16864123217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 130.03 and -2?\nAnswer: -260.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:02 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 31 + 16 = 3*z, 4*o - 18 = 3*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2763 + 2761. Which is the smallest value? (a) -0.66 (b) -2\/11 (c) n (d) 1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43719931 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 29*y = -45. Let x(f) = -2*f**2 + 18*f. Let m be x(y). Suppose 0 = -m*a + 6*a - 12. Is 12\/23 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 28. What are the prime factors of 1048\/18 - o\/(-81)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -3*u. Suppose 65 = -u*y - 5*l, 3*l + 63 = -5*y - 72. Let t be (-832)\/(-6) + (-40)\/y. What is t rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185658 - 21144 = 14*u. List the prime factors of u.\nAnswer: 3, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + ((-32)\/(-4) - 4). Let g(m) = -13*m + 5*m + b*m + 1. List the prime factors of g(-18).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30345 - 30210. Let v(k) = -17*k + 1. What is the least common multiple of v(-1) and a?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, -7, -0.14, -371?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = 0, 5*u + 5*t - 25 = 2*u. Solve u = -2*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2\/9 - 904276*s\/9 - 3617168\/9 = 0.\nAnswer: -4, 226073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let p(b) = 2*b. Let k(t) = -11*l(t) - 4*p(t). Let d(h) = -h**2 + 5*h - 5. Let r(y) = -y + 1. Let f(o) = d(o) + 5*r(o). What is k(f(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 13*r**5\/20 - r**4\/4 + 5*r**3\/6 - 9*r**2. Let w be l(3). Let a = w + -159. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 539807*a**3 - a**2 + 14872867*a?\nAnswer: -24*a**2 - 3238842*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 9*w**2 - 9*w + 1. Let q be u(-8). Let h be 4977*3\/(q\/23). Suppose -h - 9043 = 4*p. What is p rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174711.70772 + -174704. Let s = a + 16.2927. Let z = 24 - s. What is z rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d8aa2 (base 15) to base 10\nAnswer: -2206277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = h - 106*h - 1778 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) -1\/11 (c) 0.17 (d) -1\/3 (e) 12 (f) 2 (g) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b + 106. Calculate q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) -8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4 - 13. Let z be 15*(0 + -3 + 5). Suppose -h - 3*j + z = 0, -2*j - 5 = -7*j. Calculate the remainder when h is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121102021101 + 2?\nAnswer: 2121102021103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6)*(3 - (-15)\/(-6))\/1. Let m(s) be the second derivative of -3\/2*s**2 - 19*s + 0*s**3 + 0 + z*s**4. What is the derivative of m(c) wrt c?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 - 17*s**2\/2 - 129*s\/8 + 99\/4.\nAnswer: -(s - 1)*(s + 3)*(s + 66)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12) + 1*-2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/799473 and 15\/11?\nAnswer: 8794203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, v: 1, m: 3, h: 1, o: 5}. What is prob of picking 2 j?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i - 2*i + (73 + 74 - 149 + i)*(1 + 0 - 2).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -610, -1220, -1830, -2440, -3050?\n\"Answer: -610*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 42*b**2 + 3*b - 59. What is q(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 303905407 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-45) - (-76)\/18. Suppose 8*m - 5*d = 3*m + 5, -4 = 5*m + o*d. Suppose 2*v - 98 - 140 = m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -402.5 - -402. What is the nearest to -11 in -0.8, 2\/19, f?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/4832337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 28*r - 46. Let d be z(12). Let p = -1 - -3. Let h(w) = 3*w**2 - 4*w + 3. Let i be h(p). Solve i*j - d*j - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 128. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-1600)*(-71)\/(2272\/192)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let v = -517 - -524. Let r = v + j. Solve 5*z - 28 = -r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - -a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 3*w + 40. Let z be s(8). Which is the nearest to z? (a) 5 (b) 0.02 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -306.20976 and 0.2?\nAnswer: -61.241952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -2\/9, 1, 4\/5, -29 in descending order.\nAnswer: 1, 4\/5, 0, -2\/9, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35720000 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023157668 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -175? (a) -3\/5 (b) 3 (c) 0.2 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -155, -120, -85?\n\"Answer: 35*p - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 19*z**2 - 3*z + 62. Let m be c(19). Suppose -y - 28535 - 11416 = -m*a, 2*y + 7983 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12 + 6*v**3 + 12*v**3 + 5*v**3 + 18*v - 35*v**3 + 11*v**3 + 6*v**2. Determine m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*c - 5*f - 44, c - 7 = f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) - 62\/16*517\/2585?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6*a + 33 = 0. Suppose -y - 2*w + a*w = -2214, 4*w = 5*y - 11075. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 1216 = -31*j. Let l(c) = c**3 + 34*c**2 + 64*c + 8. Let u be l(j). Solve -12 = 2*t - u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*u**2 + 35782500*u - 268390252.\nAnswer: 14*u + 35782500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4 + 5. Is (67 - p) + 2\/(-2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-17)*(48\/(-6))\/16\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 203 + 11. Let r(s) = 14*s**2 - 17*s + 28. What is the hundreds digit of r(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492130?\nAnswer: 2, 5, 149213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-3)\/(-6))\/(4\/104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 184766*k**2 - 4266108112*k + 55490635304.\nAnswer: -2*(k - 13)*(k + 46198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4042 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39685602 and 8418158?\nAnswer: 277799214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - w = -28*o - 1, -5*o - 15 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 64 = -l, 62399*l + 194 = -30*i + 62400*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*0 - 4. Suppose -2*z - 3*z + 10 = 0. Sort x, -2, z in descending order.\nAnswer: z, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 10*r**2 - 6*r - 31. Is h(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioioiossigigssooii. Give prob of sequence ooii.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 1032561.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90 + 21 - 242)*(-3*y**4 + 9*y**4 + 9*y**4) as j*y + g*y**2 + v*y**4 + d*y**3 + x and give v.\nAnswer: -4665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*j**3 + 7 + j**2 - 7 + 17*j**3 + j**4 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-266)\/6. Suppose -33 = 3*d - 9*t, 13*t = 4*d + 11*t - 26. What is the highest common divisor of z and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**9\/432 + n**5\/24 - n**3\/6 + n**2. Let i(h) be the first derivative of w(h). What is the second derivative of i(p) wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2052 and 2916?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + -2 + -4) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 4. Let p(s) = 3*s + 5. Let o be p(-3). Let g be o\/12 - (8\/3 + -2). Let a be u(g). Is a < -7\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.48. Let m = -0.98 + j. What is the nearest to m in 1, -1\/4, 4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-10) - 2\/2. Let p = 28.5 - 15. Let z = p + -14. Which is the closest to -1\/4? (a) n (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590336153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - l**2 - 3*l. Let n(c) = -c**3 + 1. Let u(s) = k(s) - 5*n(s). Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 9*y - 22 + 10*y - 9*y**2 - 19*y in the form l*y + a + x*y**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*o = -13, 5*o + 22 = -2*a + 9*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 22*i**2 - 17*i + 9. Let t be y(8). Solve 10*d - 6*d - w = -t, 2*w - 2 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a5cb4 (base 13) to base 2\nAnswer: 1001000111100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + z**2 + 2. Suppose -37*s = -40*s - 90. Let r be (3\/(15\/2))\/(6\/s). Give q(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/7 + 740*b**4\/7 - 10771*b**3\/7 - 10780*b**2 + 43100*b\/7 + 290000\/7 = 0. What is b?\nAnswer: -5, -2, 2, 20, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29215.99162 rounded to the nearest ten?\nAnswer: -29220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12750507 and -26\/287594769.\nAnswer: 2588352921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409893, -409976, -410059?\nAnswer: -410142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 - 366*u**2 + 65*u**4 - 3 + 121*u**2 - 175*u**3 + 3.\nAnswer: -5*u**2*(u - 7)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 961157975 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 14 + 14)*(-6 + 1 - 4)*(0*q + q - 2*q).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24548 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 21*7248\/(-9072)\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 - -8 - 132\/(-27)*1 and 23\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = -5*z. What is the third derivative of 12*r**2 + z*r**2 - 9*r**3 + 2*r**2 wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 3*n + 1. Let r be l(-4). Let s be ((-5)\/r)\/(3\/45). Let v be ((-71)\/568 + (2 - (-2)\/16))\/1. Solve -3*w + s = v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15711 times 10\nAnswer: -157110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -668*n + 668*n - 71*n**4 - n**4 + 0*n**4 - n**4 + (-3*n + 3*n + 2*n)*(2*n**3 - 3 + 3).\nAnswer: -69*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -34 + 58 - 24 - 81*x. Let p(k) = 2*k**2. What is t(p(n))?\nAnswer: -162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/2142 and -89\/20?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409 + 194. Let f = s + 310. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2184 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-6))\/((-219)\/(-876))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**(3\/2)*c*c))*c*c*c**22)\/(c**1\/((c**(-22)*c)\/c*c)) assuming c is positive.\nAnswer: c**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a + -5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose 5 = y*z - 7. Let j be ((-7200)\/z)\/(2\/150). What is j rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-308)\/(-770) + ((-837)\/330 - 0). Which is greater: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 2. Let u be o(-4). What is the second derivative of -5*l - 4*l**3 + 2*l**3 + u*l + 4*l**3 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574953870 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: What comes next: -24390, -40364, -39492, -13350, 46486, 148440, 300936?\nAnswer: 512398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 47, 92, 175, 308, 503?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2233*x - 4634*x + 453222 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 56*k**2 - k - 7. Let x be z(7). Let p = -1806 + x. Suppose 0*o + p = 6*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x - 5*x)*(4*x - 2*x + 0*x) + (x - 5*x + 3*x)*(0*x + 4*x - 5*x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 3. Let u(p) = -p**3 + 3*p**2 + 2. Let y be 6\/7*(-14)\/(-4). Determine y*j(v) + 5*u(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) -1380 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32736?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -74. Let n be (14*w\/(-21))\/(1\/3). Solve z = -2*f - 11, 4*z + 4*f + 20 = -n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t**3 + 1)*(-1 - 2*t + 1) - 11 + t**4 - 6*t**2 + 12 + 2*t**4.\nAnswer: t**4 - 6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195863?\nAnswer: 195863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*j + 137*j + 2147 - 7145 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 108\/13, 1.542, 4?\nAnswer: 1.542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 25, -1, -3 in ascending order.\nAnswer: -3, -1, 4, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 1 (c) -20\/3 (d) -3 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + 4*n - 3. Let d be k(4). Put 0, -1, d in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -75. Let f be 3\/(-6) + (-34)\/(-52). Let v = -3 + 2. Which is the closest to v? (a) t (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 3. Calculate the lowest common multiple of 24 and x(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*12\/8. Sort 0, -4, b in increasing order.\nAnswer: -4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(252\/(-8)))\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7614 + -166?\nAnswer: 7426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*16\/(-576)*(-16)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(891) + 0 + -4*2*sqrt(891) + -2 - 2*(sqrt(891) - (sqrt(891) + 0 + sqrt(891))*6)*-3) + -4)**2.\nAnswer: 11826*sqrt(11) + 4748220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421524 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/g**7*g*g*g)\/g))**(-17))**(-13) assuming g is positive.\nAnswer: g**884","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (86 - 24)) + (-3 - ((2 - -6) + -6))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113201 + 0?\nAnswer: -113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.56707mg in grams?\nAnswer: 0.08456707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163599 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -3*l**5\/10 + 57*l**4\/8 - 17*l**3 + 397. Let t(y) = 0. What is y?\nAnswer: 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 13 = -5*l, 6*l - 9*x = -8*x + 11. Sort l, -2, 3, -140 in ascending order.\nAnswer: -140, -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2801.3549 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 48. Let d(m) = -12*m**2 - 2. Let z be d(-2). Let i = -299\/6 - z. What is the second smallest value in h, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167007119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 42*m. Let p(y) = -209*y - 19. Let a(k) = p(k) + 5*w(k). Calculate a(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:31 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313 + -310. Let g = -228 + 326. Let x = 881\/9 - g. Put x, -2, -2\/7, z in descending order.\nAnswer: z, x, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26492 or 34093?\nAnswer: 26492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 571.5066ug?\nAnswer: 571506.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 41a793?\nAnswer: -41a793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 22*s**2 + 81*s + 31. Calculate k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215481 divided by -1.\nAnswer: -215481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -191874 - 0.0855\nAnswer: -191874.0855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*105\/98*56\/42.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -6, 0, 1\/9, 9\/140, 13, -9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1877 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 136*z - 26. Let d(k) = -63*k + 14. What is -9*d(t) - 4*y(t)?\nAnswer: 23*t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 10 + s + 3*s**3 + 35 - 12*s**2 - 5*s + 2*s in the form q*s**3 + z*s**2 + a + b*s and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 997 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 - 4 = 0. Let a be 4\/(-26) - (-44)\/(-52). Let s = b - a. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6372902 is divided by 317.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 132, -5, 5, 4, -4 in increasing order.\nAnswer: -29, -5, -4, 4, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5*i**4\/4 - 3*i**2\/2 - 28. What is the second derivative of o(d) wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Which is the third smallest value? (a) 0.4 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 - 736 - 150)*(4 - 4 + a)*(-15*a**2 + 6*a**3 + a + 15*a**2).\nAnswer: -6828*a**4 - 1138*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45363654)\/574308 + 2\/(-172)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 16. Let a be b\/(-3) + 2\/(-3). Let x(c) = -4*c + 5*c + a*c**2 + 0*c**2 - 2. Let j(s) = s**2 + s - 1. What is 2*j(i) - 2*x(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 5950 - 714. Calculate the remainder when t is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2144857*c**4 - 1760012*c?\nAnswer: -25738284*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39153 is divided by 2933.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*k - 155*k - 25 = 2*f, -2*k = f + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 5) in base 16?\nAnswer: fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + (9 + -14 - 4 - (-22 + 5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 - 33*w**4 + 2241*w**3 + 55957*w**2 - 1380120*w - 18647244 = 0.\nAnswer: -42, -11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69355, -138990, -208625?\n\"Answer: -69635*o + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1004 - -948 - (-7 + 4 + (5 - 8) + -4)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 16?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14596 greater than or equal to -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867773, 1735344, 2602917, 3470492, 4338069, 5205648, 6073229?\nAnswer: 6940812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 33*n - 10707 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/20 - b**4\/3 - b**3\/6 + b**2 - 8*b. Determine h(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**3 + 1108*q - 1108*q - 14*q**3.\nAnswer: 37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let q = v + -1. Let b = q - -5. Let y(l) = l - 2. Determine y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5450*a**2 + 5448*a**2 + 3.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 34 + 4. Suppose 0 = d - f - 2*f + l, -120 = 4*d - 4*f. Let z = d + 30. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 - 2*y - 5. Let f(o) = o**3 + 7*o**2 + 8*o + 5. Let k be f(-6). Calculate the remainder when 15 is divided by n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282, -1288, -1298, -1312, -1330, -1352, -1378?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9dd372 + -6?\nAnswer: -9dd378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718785499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160470 - 127754 - 64882 = -5689*p + 204416 for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 10. Suppose z = -4*p - 3*h + 106 + 27, -2*h - 158 = -4*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/18177 and 59\/1254?\nAnswer: 7597986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Let c be 27\/(-5) + j\/10. Let q(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/12 + 5*w**3\/6 - 3*w**2. Determine q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:06 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1043, 1047, 1053, 1061, 1071, 1083, 1097?\n\"Answer: i**2 + i + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21698 = 2707*t - 2136*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 + 7*d - 11. Let n be b(-9). Let z be 3 + 0 + -1 - -3. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgdndddd. Give prob of sequence dg.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/7 + 2 + 148\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*598.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3623 - -3638. What is the highest common factor of 645 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9254 - 0.4?\nAnswer: -9254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-20)*32\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y - 2*z, -2*z - 26 = -3*y - 10. Suppose 0 = 5*j + 5*j - 50. Suppose -16*u + 11 = -11*u + s, -j*s - 1 = -3*u. Sort y, u, 8.\nAnswer: u, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 5) + ((-500)\/2629 - 844\/(-4642)).\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = 12*d - 145 - 20, 5*d = -5*c + 35 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooosso. What is prob of picking 2 s and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 36041?\nAnswer: 36026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 47619 divided by -1443\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3542*h**3 - 3*h**2 + h - 7. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -0.2 (c) 4624\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277415 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25\/6, 13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678914 is divided by 135664?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.82 - 0.9. Let p = s - 1.92. Which is the second biggest value? (a) p (b) -1\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2480, -2479, -2478, -2477?\n\"Answer: f - 2481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 41. Let r = -14 + n. Solve -8 = -2*d, -3*y + 5 = -2*y + r*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -137 + 8 + 63?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 11 - (7 + 14 - 25)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - -8 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (145\/58)\/((-9)\/(-18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -16 - 19*i - 9\/2*i**2 + 1\/3*i**3. Let s be u(11). Solve -9 = s*x - 5*j, 0*x - j = x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3980?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.3 from -3717556.4.\nAnswer: -3717573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950857797 - -453.\nAnswer: 950858250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*33*(-9)\/(-462)*49\/42?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.8 - 0.2. Let o = -31.3 + 10.7. Let u = w - o. Sort u, -1, -0.2 in decreasing order.\nAnswer: -0.2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**7\/126 + k**5\/60 - 10*k. Factor l(w).\nAnswer: -w**3*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4113044*t**4 + 1043625*t**2 wrt t?\nAnswer: -98713056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**2 + 5*o**2 + 4*o**2 - 2*o**2 - 5*o**2 - o**2 + (2 - 3*o**2 - 2)*(-1 + 2 - 2).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w**2 - 2*w)*(-2 + 2 + w) - 308*w**3 + 8205 - 8205 + (w**2 + 0*w**2 + 0*w**2)*(-4*w + 5*w - 2*w).\nAnswer: -311*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1702683 and -44\/183322203.\nAnswer: 549966609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(2 - 6\/2). Suppose b*q = q - 8. Calculate the highest common divisor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1345\/232 - -19\/58. Let y(w) = -w**2 - 7*w - 7. Let s be y(-8). What is the common denominator of s\/(-15) + 99\/(-2) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 5:58 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 - 13526\/10. Let n(x) = x**2 - 3*x + 160. Let u be n(-48). Let s = u + g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/99)\/(4\/6). Let z = 0.79 - 10.79. Is z equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*(-110)\/(-88).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i + 2. Let s be y(-4). Let c be ((-12)\/10)\/(s\/10). Suppose o + 2*x = -x - 5, -4*o + c = -x. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(-14\/9))**(-2\/83)*(w*w**(1\/4)*w**(-5\/2)\/w)**(-29) assuming w is positive.\nAnswer: w**(195023\/2988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*i + 6, -s = -6*i + 5*i + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 3620.\nAnswer: -6\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -307\/2 + 138. Let f = -3 - -1. Find the common denominator of (f\/(-12))\/((-1)\/92) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20255 - -405?\nAnswer: 21104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 21 + 59. Suppose 2*m + 5 = 7. Is (6\/(-4))\/m*f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-66)\/55)*(-4)\/(-65).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 147 + -26?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2411*h + 18203*h + 18321*h + 603393 = 5380*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 2. Suppose -8 = -5*r + 2. Let m be q(r). Which is the nearest to 0.1? (a) 2\/3 (b) m (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270625 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -799 < -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 7612472 and -2.4803.\nAnswer: 7612469.5197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -20099*o + 80372. Give l(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 11*z - 5. Let t be i(-10). Let p be (t\/(-70))\/((-1)\/2). Let v = -7 + 12. Which is the closest to 0? (a) v (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16103746 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18 and -145.\nAnswer: -145.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 22*t**2 + 209*t - 1158. Calculate w(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o + 6. What are the prime factors of ((-3)\/o)\/(3\/60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.2 + 32.2. Let i = 3 + -2. Which is the closest to p? (a) 4\/3 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1006388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2079 and 1323?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9295 - 267. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 833\/6 + -147. Let j = 462 + -907\/2. Let n = j + l. Sort -1, 1, n.\nAnswer: -1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2 - w + 5. Let n be g(6). Let v be ((-1)\/(-3))\/((-6)\/72). What is the closest to v in 0.2, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -57*n**8\/56 + 241*n**4\/12 + 213*n. What is the third derivative of p(y) wrt y?\nAnswer: -6840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556060 is divided by 278023?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.9 and -5?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/250550 and -109\/200?\nAnswer: 1002200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7476 + 1938 = 0. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amr when three letters picked without replacement from {f: 3, x: 1, a: 2, m: 3, l: 3, r: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2687532m to micrometers.\nAnswer: 268753.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 1*(-4 + (sqrt(2736) - 1*sqrt(2736)*3) + -2)**2 + -3).\nAnswer: -43924 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.08 + 25.26. Let c = u + -26. What is c rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 21. Suppose 3*l + l = 4*w + v, 2*w = -5*l - 10. Sort -1\/3, -1, l, -5 in descending order.\nAnswer: l, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4055.309 micrometers?\nAnswer: 0.000004055309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l**(-5\/7))\/(l\/(l\/(l**(2\/11)\/l)))**(-20) assuming l is positive.\nAnswer: l**(-2553\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 + 2480*c**3 + 24048*c**2 - 214208*c + 312320 = 0.\nAnswer: -610, -16, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:45 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1183.664 + 1235.66446. Let q = 51.94 - -0.06. Let v = q - m. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5 - 16\/5*i + 4\/5*i**2.\nAnswer: 4*(i - 3)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 62. Let d(u) = u + 1. Let x(b) = -3*b - 10. Let q(y) = -4*d(y) - x(y). Determine q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2 - 78357*c - 1297806 wrt c.\nAnswer: 8*c - 78357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900409 by 6.\nAnswer: 900409\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-107)\/321 - (2\/3 - 0). Let s(o) = 2*o**3 - o**2 - 3*o. Let w be s(3). Let k be 2\/8 - 17\/w. Is p >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*k*p**2 + 2*k*z**2 + p**2*z + 209*p**2 - 300*z**2 wrt z.\nAnswer: 4*k*z + p**2 - 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + (-36300)\/(-3036).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(468) + 0 + sqrt(468)) + sqrt(468) + 0 - (1 + (sqrt(468)*1*-3 - sqrt(468))))**2*-6.\nAnswer: -339774 + 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p**(-3))**(1\/55))**(-30) assuming p is positive.\nAnswer: p**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 668.8 and -60943270?\nAnswer: 60943938.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7875*f - 11288 - 11285 + 22571.\nAnswer: 7875*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzkkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, p: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 6*x**2 + 4*x - 1. Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.1 to the nearest integer.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 358 + -370.08. Let p = w - -13.3. Let q = -0.22 + p. Is q equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 (base 8) to base 4\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 708\/(-8)*(-2)\/(-48) and (-38)\/8*21\/35.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*d - 52, -4*a - d - 70 = -3*d. Let r be 4\/(-2)*(a - 6). Let w be (-76)\/(-18) + 6\/(-27). Calculate the highest common factor of w and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 155 = 3*x, 44338 = -x + 3*x - 2*p + 44198 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*c**5 - 2*c**3 - 22*c**2 - 1?\nAnswer: -3900*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2860 and 572.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - -1021?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 1, 2*n + 18719 + 19431 = 4*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -15\/8*j + 3\/4*j**2 + 15 + 1\/8*j**3. Solve d(w) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165 + 1072 + 26*v**3 - 7*v**3.\nAnswer: 19*v**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (35 + -10) - (6 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*85\/(-595)*(-40)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - h + 7 + 2, h = 5*d - 15. Suppose 8*y = -6 + 54. Suppose 5*q = d*q + y. Is q < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239792 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((61516\/(-1001))\/169)\/(28\/(-22))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let n(f) = f**2 - f + 2. Let z be n(a). What is the first derivative of 2 - z + 2*k**3 + 2 wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.0849 - -31.749885. Let f = 0.029915 + w. Let y = f - 2.7. What is y rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 11*v**2 - 8*v - 3. Calculate the remainder when 9 is divided by f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59785 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 235015.9l?\nAnswer: 235015900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1234 + 654?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -179889.71624 rounded to the nearest 10?\nAnswer: -179890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92\/77, 51, 2\/19 in decreasing order.\nAnswer: 51, 92\/77, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0123597689 take away 22?\nAnswer: -21.9876402311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 64*v**3 - 5*v**2 + 797*v - 794. Calculate p(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (9 - 3 - 4)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 19*i + 31. Let a be m(-2). Let z(u) = 2*u + 4. Let n be z(a). Let j(w) = -w**3 - 10*w**2 - 9. Determine j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 9*f - 7. Let d be a(11). Is 1*(-5)\/(d\/(-4413)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -37. Solve 4*d + 4 - r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x)**(-4\/5)\/(x**(-1\/3)\/x*x)**(-19\/3) assuming x is positive.\nAnswer: x**(-167\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**2 - 2*i**2 + 15*i**2 in the form u*i + j + q*i**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + (-1 - -1) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 76. Let a(x) = -x**3 + 10*x**2 + 2*x + 2. Determine a(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 6. Let w = -16 + 15. Is g*(w + 18\/4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3540 (base 13) to base 15.\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 680338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x - 12*x - 12*x - 25.\nAnswer: 3*x - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, q: 6}. Give prob of sequence qqqq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -39*q - 8. Let d be i(-2). Suppose 164 = 3*w - d. What is the smallest common multiple of 16 and w?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 63. Calculate the least common multiple of 10 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -2\/7 (c) 3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -24. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232.45 - -7. Let r = u - 241. What is r rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177588 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c - 14. What is u(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:06 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 102 in decreasing order.\nAnswer: 102, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6688*d*k + 8*d - 4*k + 3543 wrt k.\nAnswer: 6688*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-16)\/1280*-100.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, l: 6, k: 1, o: 1, a: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -418*c - 3656. Determine y(-11).\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 24 = -2*i, -89*a + 94*a - 7 = i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231608684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1698, -1, -169 in decreasing order.\nAnswer: 1698, -1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -112.999385. What is i rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14032199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*z + 728 = 272*z - 534*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - k = 933 + 2937, 0 = s + 2*k - 1940. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 59*k. Let j(q) be the second derivative of q**4\/6 + 2*q - 77. Calculate j(h(i)).\nAnswer: 2*i**4 - 236*i**3 + 6962*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/45)\/(4\/(-42)). Let c = j - 6. Suppose 6*u - 2*u = c. Solve -8 = -u*l - 5*s + 5, 0 = 3*l - s + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -407658*o - 21605885. Calculate j(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 770343?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27720636 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 6*c**2 - 2*c. Let v(k) be the second derivative of -k**3\/3 - 92*k. Calculate x(v(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -9*p**3 - 49292*p**2\/5 + 30684*p\/5 - 4384\/5 = 0.\nAnswer: -1096, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -515806*o**2 + 2*o - 3*o - 485474*o**2. Let p be f(-1). Let h = p + -158721. Round h to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 439 = -455. Sort 3, 67, z, -2.\nAnswer: -2, z, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428428\/11011*(-44)\/(-16)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.5 (c) 0.8307 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/174)\/(1 - 0)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.12, 1, -4, -3369, -2.5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 588532*d**3 + d - 1422143 wrt d?\nAnswer: 3531192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-112)\/7 - 112429)\/(-5).\nAnswer: 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0*d + d + (-d + 0*d - d)*(-4 + 1 + 5) - 3*d + 0*d + 2*d + 0*d + 5*d - 19 - 2*d.\nAnswer: -3*d - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7940834 + 7940834 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6925\/2)\/((-7)\/28*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*u + 2 = 0, u - 10 = -4*a - 3. Let h be (11\/(-11))\/(a - -1). What is the nearest to 6 in -0.5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let v be s*(0 - (4 - 2)). Let o = v - -4. Let x(f) = f + 2. Calculate x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006403121 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3636*t + 17604. Give k(-5).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036601.\nAnswer: 43, 24107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4866559833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87851070 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131408 and 304784.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 658 - 694 - (7 - -1)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19019305 divided by -5.\nAnswer: 3803861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67, -61, -55, -49?\n\"Answer: 6*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 3, w: 1}. What is prob of sequence oo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/18*3 + (-1)\/2. Which is the closest to 11? (a) -1 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 10:10 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c879 (base 13) in base 12?\nAnswer: 40208a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 2976.\nAnswer: 116064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 989308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 32*d + 8 = -2*y, 4 = d - y. Let s(g) = -g + 3. Let c be s(-3). Suppose -2*r + 4 = u, -3*u + 5*r + 5 = 2*u. Solve d = -u*q + c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 31)*(-2)\/616*21?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10435 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*m**2 + 44*m**2 - 6*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ciccciccccc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -11*x - 105. Let f(d) = -2*d**3 - 2. Let h(c) = -5*c**3 - 6. What is x*f(n) - 3*h(n)?\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**4 + 13*p + 5*p**3 - 17\/4 - 27\/2*p**2.\nAnswer: -(p - 17)*(p - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-20 - (-19 - -16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from dnemdsw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -0.1, 0.1, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20463 and 28.\nAnswer: 572964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*z**4 + (-4*z**4 - 2*z**4 + 7*z**4)*(-4 + 1 - 1) + (2*z**2 - 6*z**2 + 5*z**2)*(3056*z**2 - 329*z**2 - 101*z**2 + 2312*z**2 - 414*z**2).\nAnswer: 4518*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3921 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1035\/988738 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 4*h**3 - 40*h**2 - 16*h + 96.\nAnswer: 4*(h - 2)**2*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(312) - (sqrt(312)*-1 - sqrt(312))))\/(sqrt(1200) + 1*sqrt(1200) + sqrt(1200) + sqrt(1200)))\/(-5*-5*(sqrt(98)*1 + sqrt(98)))*-6.\nAnswer: 9*sqrt(13)\/7000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 484*j - 482*j = 22, 0 = 4*x + 5*j - 58. Factor -2*g**x - 116\/3*g + 80\/3.\nAnswer: -2*(g + 20)*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.1 + 58. Let f = 20.9 - u. Let w = f - 24.03. What is w rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.09, 5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*1) + -5 - (sqrt(91)\/(sqrt(28)\/sqrt(4) + sqrt(7)) + -2).\nAnswer: -3 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27421.5 plus 5?\nAnswer: -27416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 478 - 567. Let l = 102 + c. Calculate the greatest common divisor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 188. Let u(q) = -83*q - n*q + 161*q. Let l(v) = -11*v**2. Determine l(u(b)).\nAnswer: -275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**4 - 7*r**3 + 7*r - 108. Let c(k) = -k**4 - 2*k**3 + 2*k - 36. Let d(m) = 7*c(m) - 2*x(m). Differentiate d(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**6\/15 + 457*s**5\/10 - s**4\/6 - 4783*s**3\/6 + 931*s. Find the second derivative of m(i) wrt i.\nAnswer: 24*i**2 + 5484*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 763 + -8381\/11. Calculate the common denominator of r and -73\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -261*b**2 - 9*b - 9. Let v(y) = 65*y**2 + 2*y + 2. Let k be 6\/(-8)*1*(-18 - -6). What is k*v(i) + 2*p(i)?\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16397 is divided by 114?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7171?\nAnswer: 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -107*i**2 - 38*i - 37*i**2 - 28*i**2 - i**4 + 226*i**3 + 28*i - 55*i**4 + 12 = 0?\nAnswer: -1\/4, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from {n: 3, z: 13, u: 2}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33760232 and 1496?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -5. Let n(q) = -4 - 2 + 9*q**2 - v*q**2 + q. Determine n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27398 and 798?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -144 + 145. Let x = 0.59 - -0.41. Which is the nearest to x? (a) 0.06 (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659138 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 174\/(-9) + (-1)\/(-3). Let k = -11 - j. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-2*j - 2*j + 3*j) + (2*j - 2*j - 2*j)*(-1 + 1 + 1) - 13 - 4*j + 13 - 25*j - 12*j + 5*j.\nAnswer: -37*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172890585 and 945.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 = 12*g + 33*g + 7*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-5\/6)*(x*x\/(x*x\/x**(-7))*x)\/x*x**(-7) assuming x is positive.\nAnswer: x**(-247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/(-21))\/(4\/(-30)). Let x be f\/5*(-8 + -2). Suppose 5*d = -0*d + x. Solve -3*q + d*q = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805084 - 805084 + 144*s**3 - 39*s**3.\nAnswer: 105*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b - 7. List the prime factors of v(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74222465.\nAnswer: 5, 14844493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493252997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 3. Let w be x(4). Which is the nearest to w? (a) -3 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 - 6*o**2 - 16*o**2 - 3*o**2 + 69*o**2 - 10*o**2 - 11*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and -1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/17 + 22*x**3\/17 - 48*x**2\/17 - 8*x\/17 + 64\/17 = 0. Calculate x.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 43*g = -84. Factor -g*w**4 - 55 - 31*w - 26*w**3 + 0*w**5 + 47 - 44*w**2 + w**5.\nAnswer: (w - 8)*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 - 6*i - 5. What is n(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 62. Let h be u(19). Let x = h + -28. Put x, 1.1, 1 in ascending order.\nAnswer: x, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3330 - 11?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y + 66. Let m be y - (-1 + 0)\/(-6 + 5). Let f = 1 + m. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110111011 (base 2) to base 4\nAnswer: 332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33915911 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031113123 (base 6) to base 4.\nAnswer: -221313023223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 168*b**2 + 65*b**2 + 2*b - b. Let j be u(3). Suppose 5*h = -5*h + j. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -215 (b) 1\/3 (c) 1\/242 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 7)*(-2*i + i + 2*i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 752*p - 125483. What is u(250)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:26 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.219 - -0.1363. Round v to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/1*(-3 + 2). Let s(h) = h**3 - 5*h**2 + 4*h + 2. Let a be s(f). Suppose -a = 5*z - 7*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-184))\/(6\/32). Solve 0*t + 10 = n*t + 2*i, 0 = 4*i - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1039 from 120323.63789.\nAnswer: 119284.63789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1 (c) -0.3 (d) 2 (e) -8626 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - d67?\nAnswer: -d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -764469, -764485, -764511, -764553, -764617?\n\"Answer: -n**3 + n**2 - 12*n - 764457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -2\/7 (b) -98 (c) -1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + m + 2*m + 6*m. Let q(i) = -1 + 1 + 9 - 9 + 3*i. What is z(q(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -37*j - 74*h + 77*h, -j + 4*h = 98 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 + 27\/5. Suppose i*u = -g + 16, 2*u - 5*u + 14 = 5*g. Suppose -3*r + 6 = -u. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 30170*x**3 - 54715820*x**2 + 26175615000*x.\nAnswer: -5*x*(x - 2642)**2*(x - 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2250 - -2256)\/((-4)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(36\/10)\/(-2). Let z = -8 + g. Which is the second smallest value? (a) -1\/3 (b) -2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 8:59 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 210*u - 142*u - 350897 - 589475. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 6.08. Let d = 4 + a. Let s be 0 + 3 - (-69)\/(-27)*1. What is the second biggest value in 6, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 1510846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 176. Let c = b + -1763\/10. Calculate the common denominator of (-479)\/(-14) + (-4)\/(-14) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 993 + -574. List the prime factors of w.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.8 - -3.8. Let c = 7 + k. Let o = -14 - c. Is -0.4 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208534 is divided by 607.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + c - 83*c = -710 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170289 + 114454 = -7685*n - 168672 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44488 divided by 67.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 7*m + 53, 3*u - 508*m = 5*u - 509*m - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1240 and 1705.\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t - 51*t - 6532 + 341 = 188*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-14) + (-30)\/(-105). Let j = -1003 + 1056.3. Let o = 53 - j. What is the nearest to 0.05 in 3, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-4 - 172)) + 4 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37789447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*f = -3, 2*x + 2*f + 8 - 14 = 0. What is the highest common factor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 7, y: 1, d: 2, r: 1, b: 2}. What is prob of picking 1 y, 1 d, and 1 p?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s**4 - 1482*s**3 - 38388*s**2 + 55848*s + 53856 = 0. What is s?\nAnswer: -132, -34, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1075074 from 4.\nAnswer: -1075070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19210 and 1808.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7 + d**3 + 335*d**2 - 3*d - 332*d**2 + d. Let u(r) = 2*r**3 + 4*r**2 - 3*r + 7. Determine 3*b(j) - 2*u(j).\nAnswer: -j**3 + j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + t + 9. Let g be (-2)\/(-9) - 4\/18. What are the prime factors of v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 19369996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*x - 4, 2*z + 12*x - 10*x - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*z + 15, -q = -z + 4 + 6. Calculate the smallest common multiple of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82672351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145.95 less than 4912704?\nAnswer: 4910558.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1841113, 1841831, 1842549, 1843267, 1843985, 1844703?\n\"Answer: 718*j + 1840395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 4 (c) -2839 (d) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d - 9. Let h = 229 + -232. Let x(o) = 2*o - 4. Let m(l) = h*y(l) + 7*x(l). What is m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2300 + 27635\/12. What is the common denominator of 2\/369 and g?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/85320 and 43\/92864.\nAnswer: 990394560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 34. What is the nearest to 1\/60 in f, -0.5, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 39. Let d be i(5). Let n = 65 + d. Let x = 49 - n. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602802.\nAnswer: 2, 19, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 19. Let y be (-261)\/12 - (3 - 22\/8). Let w be v(y). Factor 5*k**4 - 7*k**4 - 2*k**4 + 4*k**2 + 15*k**w - 14*k**3 - k.\nAnswer: -k*(k - 1)*(k + 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 165*z**3 - 465*z**2 + 455*z - 150 = 0. Calculate z.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:28 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7831 - -0.2831. Put 0.06, w, 0, -1\/12 in descending order.\nAnswer: 0.06, 0, -1\/12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11*f**3 - 55*f + 2*f**4 + 6*f**3 + 5*f**4 + 4*f**3 + f**2 - 9*f**4 as q + w*f**4 + j*f + k*f**3 + u*f**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let s(f) = 6*f. Let w(n) = -2*n. Let z(h) = 3*s(h) + 6*w(h). Calculate z(u(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*w - 6702 - 14970. Suppose -17 = -6*u + 19. Calculate the highest common factor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-10)\/525)\/((-1)\/((-35)\/(-21))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1182)\/(-34))\/(1\/19). Let a be 2920\/73*(2 + 111\/(-6)). Let u = a + b. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 38037, -1\/3 in descending order.\nAnswer: 38037, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43631 and 18699.\nAnswer: 130893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 4.466.\nAnswer: -4.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 31\/132, -6, -2\/37, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 - -284. Suppose -4*z + q = 3*n + 2*n, n = -4. Solve 0 = 19*y - z*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 + 4*q - 2. Suppose 4*b + 35 = 5*r, -5*r = 5*b + 8 + 2. Let v be n(b). Solve 2*z - 25 = -5*k - 2, -4*z + 11 = v*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 34 = s, -5*n + 20 = 0. Suppose 0 = 2*q - 138 - s. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f + 10. Let g(o) = 6*o**2 + 7*o + 14. Give g(r(m)).\nAnswer: 486*m**2 + 1143*m + 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90 + 245 - 59) + -3 + 19 + -3.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 23. Calculate the highest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 - v**5\/15 + v**4\/6 + v**3\/3 + 5*v**2. Does 9 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -21. Suppose -z = 2*w - 2*z + t, 0 = -w + 5*z - 25. Is 15 a factor of 2 + -1 + (w - -26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41431, 35123, 28815, 22507, 16199?\n\"Answer: -6308*r + 47739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004025553147 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 414 - 413.713. Let a = 0.3 - j. Round a to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467201330.\nAnswer: 2, 5, 1097, 42589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 + (-529)\/9. Let z = 64 + k. Suppose -3*l - z = -5. Sort -5, -0.05, l in ascending order.\nAnswer: -5, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (13 - -13) - -25.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 726060\nAnswer: -1\/726060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50598, 101143, 151668, 202167, 252634, 303063, 353448, 403783?\n\"Answer: -s**3 - 4*s**2 + 50564*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 + -276bb?\nAnswer: -27614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 5*(sqrt(637)*-4 + sqrt(637)) + (1*sqrt(52) + -1*sqrt(208))**2.\nAnswer: -105*sqrt(13) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -352, 39.\nAnswer: -352, -63, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 - ((-7 - 6) + 38). Does 9 divide 3\/(-2)*r\/(23\/396)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.7 + 179.7. Let d = v - 153. Let x = -27.4 + 27. Which is the second smallest value? (a) x (b) 1\/14 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 56*s - 96.\nAnswer: -4*(s + 2)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/((-4340)\/(-42))*24\/18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k + 31. Let t be z(2). Let j = 0 + 1. Suppose -35*o + 38*o = 0. Solve y = t*l - 17, o = y - l + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + 6*u**3)*(94 - 16 + 59).\nAnswer: 822*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 15, -4*t + 49 = -565*l + 564*l for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7538*g + 876 = 15148*g - 7537*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 38?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746548229 rounded to the nearest 1000000?\nAnswer: 2747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f + 1. Let w(n) = -7*n**3 + 6*n**2 - 12*n + 7. Let j(b) = w(b) - 6*y(b). Let z be j(3). Solve -14 = 5*h - d, 2*d - z = -3*h - 2*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:02 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -516*q - 17979. Determine o(-35).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 322, 543, 768, 997, 1230?\n\"Answer: 2*v**2 + 215*v + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79031614 or -79031615?\nAnswer: -79031615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let l(y) = 11*y - 3. Let g(t) = 7*t - 16. Let z(d) = 6*d - 13. Let i(s) = 4*g(s) - 5*z(s). Let v(c) = -3*i(c) - l(c). Determine v(x(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 6*j**2 - 3\/10*j**5 - 14\/3*j**4 + 0*j + 0 - 1\/180*j**6 + 196\/9*j**3. Find i, given that r(i) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.33 - -2.99. Let r = 7220.6886 - 7219. Let p = r - g. What is p rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2373 or 2372?\nAnswer: 2372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1412*o*r**3 - 4*o*r**2*x + o*r**2 - 4*o*r*x - 2*r**3*x - 3*r**3 + 476*r**2 wrt r.\nAnswer: -8472*o - 12*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 52*x + 93. Give a(-12).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5*z = 15, -457 + 442 = -2*p - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-93)\/(-27)) + 2. Sort -0.1, g, 2\/23, 5 in decreasing order.\nAnswer: 5, 2\/23, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58275 - 33974337\/583. Is o greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12619, -57272, -131687, -235858, -369779?\nAnswer: -533444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(7) - -1*sqrt(28))).\nAnswer: 18 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -170.296 greater than or equal to 176\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078985*u - 1079318*u = -666 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31421072 divided by 7855268?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25948 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z)\/(z*z**(4\/7))*z**(1\/5)\/(z*z**3) assuming z is positive.\nAnswer: z**(-1307\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 4, q: 2}. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 31. Suppose -5*p - 4*n + 27 + 307 = 0, 4*p - 2*n - 288 = d. Is (-20)\/p - (-471)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 4)*(11 + 5 - 12) - 5 + 6 + 11)*(6 - 4 - 3)*(8 + 8*l - 8).\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -492 + 707. Let a = -214.9999986 + z. Round a to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6734*f + 15 + 6734*f - 28*f**2 in the form c*f**2 + i*f + y and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z**3 + 3*z**2 - 4222*z + 8445. Calculate n(2).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265.\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v**3 + 3*v**2 - 3*v - 3. Let g(b) = 12*b**3 - 3*b**2 + 4*b + 4. What is 3*g(m) + 4*u(m)?\nAnswer: -12*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.899816ms in seconds?\nAnswer: 0.004899816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*b - 79820 = 5*c, -c - 15976 = -3*b. Let l = c - -8011. Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29078512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 - 6318*i**3 - 43009254*i**2 - 39072154680*i - 9561267936900.\nAnswer: -(i + 510)**2*(i + 12126)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 19 + (14 - ((-2 - 6) + 16))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -5, -2, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, j: 2, s: 1, q: 1, f: 1}. Give prob of sequence qfww.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/15 in -4, -0.14, -6\/203?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3629 divided by 23.\nAnswer: 3629\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*c**3 + 36*c**3 - 4 + 4*c + 31*c**3 in the form t*c + h*c**2 + s + j*c**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -61 (d) 60 (e) 268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -369 - 39. What is the smallest common multiple of 12 and m?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 15959*m + 630373. Determine b(40).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 84 = 15*j - 65. Solve -2*v = 2*a + 14, 3*a + 47*v + j = 45*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from niwnawfti.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -113*j - 610. Let q be ((-4)\/6)\/(4\/(-6)). Sort -2, 5, j, q in increasing order.\nAnswer: j, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 + 38 = 0. Let y(o) = -185*o + 0 + 51*o - 4 + 53*o - 15*o**2 + 67*o - o**3. Let t be y(r). Let u(x) = -x**2 - x + 4. Calculate u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 244.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2918 in 6, -0.5, 5, -1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (10 - (1 + 10 - 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 20*z + 19. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263919301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -4, -7\/53, 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 = 5*r, 0 = -2*l + l - 3*r + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6004108*j + 3*j**3 + 6004108*j - 1316*j**4)*(-2 + 4 + 2)*(-5 + 4 + 4).\nAnswer: -15792*j**4 + 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 269 - 133 + 28*s)*(2*s**2 + 4 - 1 - 1).\nAnswer: 56*s**3 - 2*s**2 + 56*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - (3 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209964973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose c + 3*c = 3*x - 130, 4*c + 16 = 0. Suppose 0*o = h*o - x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 205 - 26)*(-2*s**2 + 2*s**2 - 5*s**2)*(-2*s**2 + 3*s**2 + 2*s**2) to the form g*s + w*s**3 + i + c*s**4 + m*s**2 and give c.\nAnswer: -2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 98 = -0*i. Suppose 0 = -23*c + 42*c - 532. Let q be (-7)\/(-2)*c\/i. Solve -3*s + 4 = -0*g + g, 0 = q*s + 4*g + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 137522 and 2.36.\nAnswer: 137524.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -132 (c) 2\/23 (d) -0.4 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sleaewwewl. Give prob of sequence easl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33034552 (base 6) to base 5.\nAnswer: -223002430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26655 + 0.06655. Let l = 0.045 + 0.015. What is the second biggest value in -0.4, l, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgvg when four letters picked without replacement from ggvvgggggvgvgvvgggg?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-15))\/((-3)\/75). Let s be (v\/(-15))\/(6\/(-9)). Suppose -14 = -s*k + 6*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - 7 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 8\/((-840)\/749))\/(12\/20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170172\/7 - 24310. Let i = 1.1 + -3.1. Which is the biggest value? (a) -0.5 (b) 4 (c) w (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {o: 2, l: 2, d: 6, g: 3, t: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.475535 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61043 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -1 - (3 + 1). Let f be 14\/(-4)*10\/5. Let u = b - f. Solve 5*i = -5*z - 5, 0*i + 5*i - 4*z - 40 = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 43*i**2 + 131. Let o(f) = -f**3 - 4. Let t(p) = -m(p) + 2*o(p). What is the derivative of t(y) wrt y?\nAnswer: -12*y**2 + 86*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2797, 9790, 21435, 37726, 58657, 84222, 114415, 149230?\n\"Answer: -t**3 + 2332*t**2 + 4*t + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 3. Calculate d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144.5 - -140.5. What is the third smallest value in 6, d, 0.05?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 26 = 54*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 20. Does 11 divide -1 - (w + -18) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0397615 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12393887 from 4.9.\nAnswer: 5.02393887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -31\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 3)*(y**5 - 6*y**5 + 4*y**5) + (-6*y**4 - 5 + 5)*(-3*y + y + 0*y).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - 30\/(-8). Suppose -z = -12 - 6. Suppose 3*d - 69 - z = 0. Solve -9 + d = -o*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(45\/(-36))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*((q**11*q)\/q)\/q*q*q**(2\/5) assuming q is positive.\nAnswer: q**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 89. Let v = 15 + t. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2396 - -7114\/3. Find the common denominator of 48410\/1030*(-2)\/306 and l.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(4 + -15)\/(-44). Let z = 0.3 - 0.1. Sort -6, z, l, 5 in ascending order.\nAnswer: -6, l, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (-6*(sqrt(75) + (sqrt(75) + 1*sqrt(75))**2*-6 - sqrt(75)) - (-4 + sqrt(75) + -1 - (sqrt(75) - 5*sqrt(75)*1))) + -3).\nAnswer: -100*sqrt(3) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 264. List the prime factors of o(26).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/(3\/90*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f - 118. Let g(u) = 24*u - 120. Let x(b) = -3*g(b) + 4*y(b). What is the first derivative of x(l) wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 80 - 30 + 118)*(-4 - m**4 + 4).\nAnswer: -188*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4\/6*2040\/(-748)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869.87 millennia in months?\nAnswer: 34438440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -387, -569, -749, -927, -1103, -1277?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 + y + 4. Let h(x) = 4*x**2 + x + 2. Let m(l) = -10*h(l) + 6*w(l). Let v = 1234 + -1197. Calculate the remainder when v is divided by m(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*l + y + 1, 23 = 3*l - 4*y. Differentiate 17 - 4 + 65 - l + 76 - 161*k**2 with respect to k.\nAnswer: -322*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0114930662 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**8\/7840 - h**7\/1960 + h**6\/840 - 6*h**4 + 186*h**2. Let l(y) be the second derivative of u(y). Factor l(r).\nAnswer: -3*r*(r + 2)*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-11)\/165). Suppose n*j - 213 = 107. Suppose 40 = 3*p + 2*g, 3*p - g - j = 20. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -15 - 9. Calculate the highest common divisor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 - 2*w - 2. Let a(s) = 37*s**2 + 12*s - 4. Let y(r) = 72*r**2 + 21*r - 7. Let l(u) = -7*a(u) + 4*y(u). Calculate l(b(t)).\nAnswer: 116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/5)*g**9*g\/g**8*g**(1\/9) assuming g is positive.\nAnswer: g**(41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3190 - 3190. Solve -158*g + 139*g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 + -10?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 286 in decreasing order.\nAnswer: 286, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 1.6 (c) -0.3 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 166. Sort c, 20, 3 in increasing order.\nAnswer: c, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.7? (a) -174\/17 (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 29*t + 450. Let g(n) = -10*n - 162. Let u(k) = 17*g(k) + 6*h(k). What is u(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18994, 37976, 56968, 75970, 94982, 114004, 133036?\n\"Answer: 5*m**2 + 18967*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 18 = 3*j - 2*j, 0 = 2*n - 5*j - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g - 1\/14*g**4 + 14 - 1\/7*g**2 + 4\/21*g**3. Solve d(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 10*g - 206. Let v be u(21). Suppose 0 = 33*c - v*c - 8. Let r = 923857\/215 + -4297. Is c less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 10*q**2 - 71*q + 136. Give o(14).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*d - 296 + 264, -3*l - 3*l - 70 = 2*d - 14 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 + (-7)\/21. Which is the closest to 2\/3? (a) -0.1 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-187 + 5)\/((-8)\/4). Let j = -87 + m. Suppose 2*c + j*x + 18 - 192 = 0, 5*c - x = 380. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 21*q**4\/4 - 10803*q**3 - 68187*q**2 + 154776*q + 49536 = 0?\nAnswer: -8, -2\/7, 2, 2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567 divided by -10.\nAnswer: -567\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 10 = -22. Factor g*f**3 - 550 - 6*f**3 + 510 + 76*f - 32*f**2.\nAnswer: -4*(f - 1)**2*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001515279 rounded to 7 decimal places?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 3, b: 1, p: 2, k: 1, a: 3}. Give prob of sequence bkp.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-2*j**3 - j**3 + j**3)*(-166*j - 48*j + 63*j).\nAnswer: -1208*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -311, -1244, -2797, -4970?\n\"Answer: -310*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-68) + (-1799)\/(-119)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -28. Suppose -189 = -r*f - 39. What is the units digit of (-4)\/f - (-1714)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -27, -29, -29, -27, -23?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 3*m**3 - m**3)*(-m**2 + 0*m**2 - m**2) + (-2*m**5 - m**5 + 0*m**5)*(-1 + 4 - 1).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125191993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:37 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592649 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u**2 + 6*u**2 + 3 + 2*u - 2*u**2. Let s = -8 + 5. Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892902257 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201.8 - -202. Which is the nearest to h? (a) -0.3 (b) 1 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33.15773m?\nAnswer: 33157.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 50835.\nAnswer: 25417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 64 = -84 + 96. What is the smallest value in -188, 23, t?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (30 - 16) - (6 + -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.59 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*6*1. Find the third derivative of 3*r**5 - 7*r**5 + o*r**5 + 0*r**5 - r**2 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -130*y + 352. What is n(-3)?\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -3*a**5\/160 + 3*a**4\/16 + a**3\/4 - 9*a**2\/2 + a + 428. Factor j(d).\nAnswer: -3*(d - 6)*(d - 2)*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 13 + 1 + -16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*-23603.4.\nAnswer: -6136.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177214*m - 354416*m + 2*m**2 + 177220*m.\nAnswer: 2*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12414423 (base 6) in base 13?\nAnswer: 113145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggddddgn. Give prob of sequence gddg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmrhdhf. What is prob of picking 1 r, 1 h, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 29*y + 85. Let u be m(32). Let h be (-19)\/u + (9\/(-3) - -2). Solve 2*t**3 + h - 48\/11*t + 18\/11*t**2 = 0.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 3 - 4*m**2 + 5 + 1 in the form s*m**2 + x + i*m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q - 12. Let j = q + 32. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) -19 (c) -582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/10*15\/12. Let p(k) = 11*k**3 - 15*k**2 + 26*k - 26. Let q(n) = -7*n**3 + 10*n**2 - 17*n + 17. Let s(u) = -5*p(u) - 8*q(u). Calculate s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 207*j - 3423. List the prime factors of o(29).\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936777554.\nAnswer: 2, 17, 27552281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -356 - -358. Let q be 3 - (5 + u + -3). Sort q, 0, -8, 4 in descending order.\nAnswer: 4, 0, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 18. Suppose -35*i**3 + 84*i**5 - 100*i**3 + 87*i**4 - 2*i - 36*i**3 - u*i**2 + 14*i = 0. What is i?\nAnswer: -2, -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + 1141252?\nAnswer: 1141004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61047068 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = 3*r - 5, 0 = 5*d - 2*r - 8. Let f be ((-34)\/d)\/((7 - 0) + -8). What is the greatest common factor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:02 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 9:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -276*k**2 - 17111*k + 91. What is q(-62)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i - 1. Suppose -2 = 8*a - 26. Suppose 0 = a*n + 8 + 1. What is w(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 - 36*l = 0 for l.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 7. Let r be i(6). Let v(m) = 6*m**3 + 25*m**2 - 2*m**3 + 7 + 0*m**3 - 5*m**3. Let t be v(25). Solve 2*q - r = -t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 - 6. Let q = 2.7 - d. Let w = q - 2.611. What is w rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*x + 39670*b**2 - 3*b*x - 112669*x + 10 wrt x.\nAnswer: 2*b**2 - 3*b - 112669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02244559 rounded to 4 dps?\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -115. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -11. Let o be 169\/9 + r\/(-9). Suppose -2*u + 4*g + 14 = 0, 3*u + 2*g = 8*u - o. Let j(c) = -c - 4. What is j(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35425\/48 - 738. Find the common denominator of -87\/46 and l.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -4) + (-7 - (-178)\/58). What is the second biggest value in 2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457951260 a multiple of 1904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2694, -5391, -8104, -10839, -13602, -16399?\n\"Answer: -r**3 - 2*r**2 - 2684*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 10*h + 14. Let n be i(11). Solve -1 - 5 = -n*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*j**2 + 395*j**5 - 29*j**2 - 3 + 3 - 3 - 129*j**2 wrt j.\nAnswer: 23700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 8 + 0 + -4 + 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2790 and 90?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32908.1l in millilitres?\nAnswer: 32908100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -1\/3, 1 in ascending order.\nAnswer: -41, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {h: 2, z: 2, w: 2, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 22433321203?\nAnswer: -22433321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 7*l - 1. Let d(z) = -27*z**2 - 37*z + 7. Let x(t) = d(t) + 5*y(t). Let f(a) = 152*a**2 + 19*a - 19. Determine -2*f(h) - 19*x(h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94b094 (base 15) to base 6.\nAnswer: 411342351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o + 14\/5*o**2 - 1\/5.\nAnswer: (2*o + 1)*(7*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -2\/7 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 4, -1\/5, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146761, 293299, 439837?\nAnswer: 586375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -x - 2*o + 147, x - 157 = -2*o. Let d = x + -59. Calculate the greatest common divisor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011100110 (base 2) to base 12.\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*r - 2*a + 85, -3*a = -5*r + 109. Calculate the lowest common multiple of (-22)\/(-4)*(4 + 0) and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 24*v - 78. Suppose -i + 5*s = -15, v*i - 3 = 2*i + s. Factor i*w + 5\/4*w**2 - 5\/4.\nAnswer: 5*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-8) - (-7)\/14. Suppose a*o - 9*o + 3*v = 24, 5*o = -v - 10. Calculate the remainder when 84 is divided by (15*(3 + -4))\/o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6733745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 29. Let f(x) = -2*x**3 - d - 1 + 4*x - 4 + 4*x + 12*x**2. Let c be f(6). Solve -2*m - 4*r + 5 = 17, -4*m = -5*r - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.74 - -0.066451102?\nAnswer: -37.673548898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**5\/4 + 5*k**4\/2 + 215*k**3\/12 + 145*k**2\/4 + 30*k - 1169. Suppose p(n) = 0. Calculate n.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r + 123*r + 4*b = 32, 3*r = 2*b - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181261207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 1 + 5. Solve -v = -p + 2*z + 2, -3*p + 9 = -5*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 4*o**2 - 3*o. Let m(f) = -5*f - 4*f**2 + 6*f - f - 4*f**3 - 2*f. Let b(z) = -6*m(z) + 4*p(z). Factor b(r).\nAnswer: 4*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 4*v - 17, 24*v + 19 = -5*t + 22*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -30. Let n be (m\/(-4))\/(9\/(-72)). What is the greatest common divisor of 125 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 * -4\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 566*w + 2018. Calculate c(-145).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/((-12)\/3366). Let h = 93 - s. Which is the closest to -1\/19? (a) 3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s - 92. Let d be m(16). Let c(v) = -5 - 106*v + 71*v + d*v. Determine c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 - 328. What is the second smallest value in -0.4, c, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1789 + 23255\/13. Which is bigger: b or -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 + 5. Let b = 20529 - 20533. Is (-2802)\/p*b\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*d = 14, -4*s - 2*d + 2 = -2. Determine c, given that 2\/3*c**s + 0 - 8\/3*c = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 2 - 2)*(-2 + 4 + 0) - 2*x - 4*x + 4*x + 17*x + 22*x - 5*x)*(96 - 27 - 16).\nAnswer: 1484*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 3. Let k be d(2). Let i be k\/(-13) - (-6)\/(-39). Are -18 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 28 = 3*w - 2*y, 3*y + 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3 + 4*w**2 - 8*w - 16 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = 176*s - 151*s. Solve -37 = s*p + 9*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/25 of a kilometer?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 315 + 30 = 0. Suppose 70 = 4*n - 3*r - 49, -5*n = 3*r - f. Let l = -247 + 263. What is the least common multiple of l and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 22. Let u be z(-7). Let d = -4916447\/465 + 10573. Which is bigger: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3325 and 10675?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699\/260 + -105\/26. Let l = -8382 - -50161\/6. What is the common denominator of r and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187391 is divided by 37473.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 29. Let q(n) = -45*n**2 - n + 517. Give y(q(w)).\nAnswer: -45*w**2 - w + 488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(-7\/13)\/z*z*z)\/z))\/z**(-15\/8))\/(z**(-41)\/(z**(-47)\/z)) assuming z is positive.\nAnswer: z**(-477\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3914 and 6655757?\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102 + -3333212?\nAnswer: -10001320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000388055 to 7 dps.\nAnswer: -0.0000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 5 + -6 + 3 + 3. What is the derivative of 12*y**4 - 7*y**z + 13*y**3 + 14*y**4 + 211 - 2*y**2 - 6*y**3 wrt y?\nAnswer: 104*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 1. Let g(o) = 37506. Let p(l) = -926. Let j(b) = 2*g(b) + 81*p(b). Let m = -2 - -1. Calculate m*s(c) + j(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7381195um in meters?\nAnswer: 0.0000007381195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 + -3.21. Let w be (-1)\/((-4)\/(-1063) - 0). Let h = w + 267. What is the third smallest value in p, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 - (-1 - -3)) + -299 + 286.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305 + -304.999999332. What is f rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75610530 by -9.\nAnswer: -8401170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + -183. Let t = 1051 + y. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 12*q**2 + 6*q + 23. Determine s(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**6)\/b*b**(-1\/10)*b)\/(b**(1\/3)\/(b*b**6)))**(1\/24) assuming b is positive.\nAnswer: b**(77\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**6\/10 - 9*b**5\/5 + 25*b**4\/2 - 42*b**3 + 135*b**2\/2 - b - 126. Factor g(p).\nAnswer: 3*(p - 5)*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147*m**3*o*q - 582*m**3*q + 15*m**3 + 2*m*o*q - 64*m*q - 2262*o**2 wrt o?\nAnswer: 147*m**3*q + 2*m*q - 4524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2364 divided by 3628.\nAnswer: 591\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15867, 15868, 15869?\nAnswer: 15870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - ((4 + sqrt(832))*2)**2) + (sqrt(832) + 3)**2 + 3.\nAnswer: -2548 - 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -52. Solve q*h - 4 = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 80*x + 23. Let t be v(17). Is t\/1 + -1*2\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14141 - 13427. What is the smallest common multiple of 23 and h?\nAnswer: 16422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 + -2.977. Let u = 0.07637 + o. What is u rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/83 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*y + 20 + 6. Let j be (10 + 87\/(-9))\/(y\/18). Suppose 10 = 4*p + 2*h, -11 - 4 = -3*h. Put j, 1, p, -4 in decreasing order.\nAnswer: 1, p, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(((-2*sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(6)) + -5*2*sqrt(320).\nAnswer: -241*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/47916)\/(198\/(-3267))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831923993.\nAnswer: 191, 4355623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -307, -2891, -9903, -23557, -46067?\n\"Answer: -369*z**3 - z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120, 321, 614, 1005, 1500, 2105?\n\"Answer: r**3 + 40*r**2 + 74*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:37 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5921745862 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(32\/11232*36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:39 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330*h**2*o**3 + 96*h**2*o - 5*h*o**2 - 2*h*o - 17*o**3 - 5*o**2 wrt o.\nAnswer: -1980*h**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82 + 195?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218234537?\nAnswer: 12763, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197079472?\nAnswer: 2, 47, 101, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -18. Suppose 0 = z*g - 4*g - 86. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - 2*a**3 + 4*a + (-58*a - 13*a - 21*a)*(2*a + 2*a**2 - 2*a).\nAnswer: -186*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27490 + -27489.8. Sort h, -2\/41, 0.14, 0.3 in decreasing order.\nAnswer: 0.3, h, 0.14, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + 702?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222*69\/51060*-35.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(-78)\/429\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6117*a = 6113*a - 132, -4*j + 4*a - 132 = 0 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 20 = 11*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 617 + -554. Let u(t) = -217*t. Let w(j) = -7*j. What is s*w(l) - 2*u(l)?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39984035 is divided by 8953?\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38643*w - 38650*w + 77294*w - 94.\nAnswer: w - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by -2\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*o + 26 - 4 - 23)*(-3*o - o + 0*o + (1 - 2*o - 1)*(5 - 1 - 2)) as d*o + s*o**2 + a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3146 = 3*q + 23*q. Find the first derivative of r + r + q + 0*r - 58 wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -129. Let q be 8 + -2 - (0 - f). Are -2\/473 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i - 1. Let q be j(4). What is the remainder when 0 + q - (-1 - 3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51\/2 + 91\/4. Which is greater: 2\/9 or w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = -2*w - 21, 0 = -2*n + 3*w + 23. Suppose 0 = f + 1 + n, 5*j + 5*f + 145 = 0. Is -1 - -5 - (j + -4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m - 5. Suppose -9*l + 7*l = -4*v - 76, 3*l + 4*v - 84 = 0. Suppose -43*o + l*o + 77 = 0. Let q(x) = -3*x - 2. What is o*q(f) - 3*y(f)?\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*t. Let -8\/5 - 12\/5*n - 4\/5*n**t = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329284409.\nAnswer: 329284409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -23*t - 5*t. Solve g + 3*z + 11 = t, 26*g = 25*g + 3*z + 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - q = -75, 3*q + 90 = 4*z + 7*q - 6*q for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(-1*sqrt(2))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(3\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:52 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 + 310*y**2 - 4480*y - 10240 = 0.\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 15 = 0. Suppose y + 4*y = a - 188, -4*y - 133 = q*a. Let j = -2 - y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/3600 + 18343\/154800. Calculate the common denominator of 20\/87 and a.\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3948)\/(-846))\/((-5)\/(30\/(-8)))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 44*z**2 - 45*z - 43. Determine p(-45).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 527*o - 102233. Give j(194).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - (-4 + -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(272) - ((sqrt(68) + -4)**2 + -2))*5.\nAnswer: -420 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 6*z**2 + 3*z**2)*(8*z - z + 13*z + 3) to f*z**2 + y*z**3 + l*z + p and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d6 (base 16) in base 3?\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 65 = -15. Let p = y + 23. Solve -l + p*m + 3 = 4*m, 5*m = 3*l + 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12 and -67\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 1)*(2 + 6 + 7)*(4 + 1 + 1)*(-v + 3*v + 0*v) in the form h*v + y and give h.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8062601*c**5*n + 68*c*n + 1157*n - 54 wrt c?\nAnswer: -161252020*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 58?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + (-101 - (-99 + 18))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1638079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 1, s: 1, t: 2, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333 - 327. What is the remainder when 83 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/9))\/m*m\/((m\/m**(2\/7))\/m*m)*m*(m**0)**25)\/(m**(1\/6)\/(m*(m\/m**(-5\/6))\/m)*(m**(-2\/9)\/m)**49) assuming m is positive.\nAnswer: m**(3952\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*f = -38676 - 36080 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150162, -150163, -150164, -150165?\n\"Answer: -x - 150161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 28*o - 74 = 25*o, 2 = -o. Suppose 27*w = a*w + 11018. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 3:23 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/51 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106182, 106161, 106104, 105993, 105810, 105537, 105156?\nAnswer: 104649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**3*i**3*k + g**3*i**3 + g**3*k + g**3 - 2*g*i**2 + 62*g*i wrt i?\nAnswer: 84*g**3*k + 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(-28)*-4 + -10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 1499675359.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2. Let m(y) be the third derivative of y**5\/30 - 11*y**2. Calculate b(m(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 + -122 + 794 + 0 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -298*s + 2080. Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*j. Suppose 3*z + 3*o - 3 - 3 = 0, 3*o - 6 = 4*z. Solve z = j*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*x + 3*p - 2 = 533*x, 5*x - p = 4. What is the biggest value in 4, x, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 265*i**4 - 2*i**3 + i + 104 + i**2 + 0*i**3 - 268*i**4 to the form j*i + h + q*i**2 + f*i**3 + b*i**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.62 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*a + 266*a = -3*l - 13, -3*l + 5*a - 28 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -16. Let b = f - -7.3. Does 0.3 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5742 or 5749?\nAnswer: 5742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 41 = 30*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 3*b - 3. Let v be u(-2). What is the derivative of 44 - 53 + 5*i**3 + 2*i**3 + 2*i**v wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 112 + 248. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18152 and 10512277.\nAnswer: 84098216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - g = g - 5, -4*k + 4*g + 68 = 0. Calculate the common denominator of 27\/224 and 5\/20*(k - 0).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1935 and 15687303.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4330055 (base 6) in base 14?\nAnswer: -57d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25*1)\/(-9*5*42\/(-1890)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(110)*3)\/(((sqrt(70) + 2*sqrt(70))\/sqrt(7) - sqrt(10)) + 3*((sqrt(20)\/sqrt(2) - sqrt(10)) + sqrt(10))).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/288 and -53\/393264.\nAnswer: 786528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13 + 5 - 12*t - 24. Let d(u) = 1. Determine -a(f) - 6*d(f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**6\/12 + t**5\/5 - t**3\/3 - t**2\/4 - 6. Factor c(d).\nAnswer: d*(d - 1)*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 - -216. Which is the closest to z? (a) -61 (b) -2\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:54 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5844\/(-195) - 240\/(-8).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5\/4 (b) 2\/23 (c) 5\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83, -81, -79, -77, -75?\n\"Answer: 2*g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 67*h**3\/6 + 110*h. Let t(n) = -2*n**2. Calculate l(t(f)).\nAnswer: -134*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5918, -4\/3 in descending order.\nAnswer: -0.3, -4\/3, -5918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150590.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307\/5 + 306\/5. What is the smallest value in 27, h, 0.01, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.093 and -3?\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, x: 4, k: 5}. What is prob of sequence rxk?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9722.335 kilograms?\nAnswer: 9722335000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1.7, 1\/17 in decreasing order.\nAnswer: 1.7, 1\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**8\/840 + 5*b**4\/24 + 16*b**3\/3 - 9. Let t(a) be the third derivative of g(a). What is the first derivative of t(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 11. Let b be g(-3). Let y(z) be the third derivative of -1\/10*z**5 + 0*z + z**2 + 0 + 1\/3*z**3 + 1\/120*z**6 + 1\/4*z**4. Give y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 28. Let z be p(4). Let x(v) = v**2 - 12*v + 15. What is the units digit of x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -233, -623, -1375, -2609, -4445, -7003?\nAnswer: -10403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = -4*u - 56, 99*d = 95*d + 3*u - 27 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 26*r**2 - 65*r + 173. Give o(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 8*z**2 - 7*z**2 - 4*z. Let r be p(3). Put r, -4, 3 in decreasing order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*r**2 + 559*r**2 - 382*r**2.\nAnswer: 858*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 28. Suppose 3*l - 52 = 4*y - 2*y, 5*y + l = -147. Let n be i(y). Is -2\/83 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -o - 21, -k = o - 118 + 133 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*3*25144\/(-4041).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 402*a**2 + 11520*a + 55296 = 0. Calculate a.\nAnswer: -96, -32, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 5. Let d = -25 + 28. Suppose -2*x = -3*t - 23, -d*x + 2*t - 10 = -8*x. Suppose 0 = x*c - 18 - 2. Calculate i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + 5 + sqrt(100)\/sqrt(2) - (1*sqrt(600) - sqrt(600))\/sqrt(12))*3)**2 + -4.\nAnswer: 900*sqrt(2) + 2021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, 4, -5205?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 4*m, 4*m = 5*f + 6 - 1. Let t(w) = -w - 7. Give t(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**4 + n**3 + n**2 + 1. Let y(h) = 12*h**4 - 8*h**3 + 28*h**2 - 8*h + 8. Let f(c) = 8*r(c) - y(c). Suppose f(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v - 10. Let r(n) = 20*n + 30. Let y(d) = -6*r(d) - 17*x(d). What is y(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**9\/56 + m**7\/10 + 43*m**5\/30 + 125*m**2. Find the third derivative of n(d) wrt d.\nAnswer: -1080*d**3 + 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -137*n**4\/3 + 175*n**3\/2 + 2*n + 300. What is the second derivative of t(a) wrt a?\nAnswer: -1096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1089 + 484. Let g = -609 - d. Sort -7, 0, g in ascending order.\nAnswer: -7, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1273148839 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1386*x**3 + 12*x**2 - x - 5. Let m be u(-2). What is the tens digit of ((-4)\/(-6))\/(11034\/m + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 126709.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 100*d = -98*d - 12, 0 = f + 2*d - 4. Find the second derivative of -12*v**f - 3074*v + 52*v**2 + 2 - 2 + 3049*v wrt v.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991 = -590*t - 401*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302052 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -114295335 divided by -960465\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7716 + 22338 = 6*d. Suppose -5*s = 4*f - 2431, s + 4*s - d = 2*f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -19. Let f be 8\/v*21\/(-2). Factor -f*z**3 - 33\/4*z + 12*z**2 + 3\/2.\nAnswer: -3*(z - 1)**2*(7*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6219 - 6283.868. What is n rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1*(-1)\/(-3)) + 209. Let w = t + -39. Find the third derivative of -5*f**3 - 19*f**3 + w*f**2 - 124*f**2 wrt f.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 3*j + 82. Calculate the remainder when 97 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**3 - 25*q**3 - 23*q**3 - 12*q**3 - 2*q**2.\nAnswer: 10*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + 12 + 3 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -3*u + 34, -23 = -2*u - d. Let w be ((10 + -1)*u\/(-22))\/(-6). Suppose 1\/4*l**2 + l + w = 0. Calculate l.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((-2)\/(-4)). Let c = 441080449\/2051 + -215056. Let b = 1\/293 - c. Does b = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -56, -35, 34, 169, 388, 709?\n\"Answer: 3*n**3 - 3*n**2 - 21*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(-1*sqrt(1216) - sqrt(1216)) + sqrt(1216)) + 0)**2.\nAnswer: 5296896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 + 6*n + 7. Let r(q) = 2*q**3 + 11*q**2 + 13*q + 13. Let c(k) = 5*f(k) - 3*r(k). Give c(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*d - 126299 = -1542*d - 1656*d + 2693 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5700\/(-2280)*(-2)\/150.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkukuuyuy. Give prob of sequence ukyy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 26\/21, 4 in ascending order.\nAnswer: 0.01, 26\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5802*c - 2180. Is r(43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -398 and -1.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112222210021 - -1211012?\nAnswer: -112220222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92074 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 182, 212, 242?\n\"Answer: 30*o + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 8\/9, -33, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 61. Let z = -32 + t. What is the units digit of (z - -2)\/(3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1454b12 + 0?\nAnswer: -1454b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*15\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9046, 2, -14 in increasing order.\nAnswer: -9046, -14, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10059 - -159. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2. Let d be i(0). Let y(r) = 2*r + 2. Let b be y(-2). Let h = d + b. Solve h*f - 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3536 and 2288?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3912*h**2 + 1244*h**3 + 3923*h**2 - 1 + 6*h - 7833*h**2 to g + n*h**2 + j*h + k*h**3 and give k.\nAnswer: 1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4412 + 13238\/3. Let g(l) = l**3 + 5*l**2 + 4*l - 1. Let b be g(-4). Let m be (b\/4)\/((-70)\/(-16)). What is the closest to 0 in -4, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -61*u - 704. Calculate c(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 43*s - 1301. What is h(-29)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47821*t**2 + 24130*t**2 - 101815*t**2 + 7913*t**2.\nAnswer: -117593*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1807 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165420743 by 8339.\nAnswer: 19837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -37, -54, -69, -82, -93?\n\"Answer: g**2 - 22*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v = 24*v - 232. Calculate the remainder when -2 - 4*(-21)\/6 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2273*d**2 - 495513*d + 217. Determine r(-218).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127225 is divided by 1819?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 74, 89, 104?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 2. Suppose 0 = 3*g + 5*d - 6, 2*d + 10 = 5*g - 2*d. Calculate l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27162*t + 13594*t + 13576*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -3 - -4) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a - 5*a)*(1 - 4 + 5)*(0*a + 0*a - 2*a) + (-304*a + 1716 - 1716)*(-5 + 5 + a) - 2*a**2 + a**2 - a**2 + 6.\nAnswer: -314*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -25*g**3 + 4*g**2 - 4*g + 1. Let j(i) = i**2 - i. Determine -4*j(n) + y(n).\nAnswer: -25*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -357 + 867. Suppose 10*t - 150 = b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011111001 + 1000000000?\nAnswer: -1000001011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2633, 2580, 2535, 2504, 2493?\nAnswer: 2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11878704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -56, -60, -62, -62, -60, -56?\n\"Answer: u**2 - 9*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298619*n**4*x + n**4 + n**3*x - n**3 + 9*n**2*x + 1321*n - 18*x wrt n?\nAnswer: -7166856*n*x + 24*n + 6*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, -143896, -0.054, -0.5 in descending order.\nAnswer: 1, 2\/3, -0.054, -0.5, -143896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -1\/12*q**4 + 0 - 1\/10*q**6 + 0*q**5 + 0*q**2 + 0*q**3 - q. What is the third derivative of v(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by -28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5 - 6) + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = -u. Let l(a) = a**2 - 2. Let w be l(u). Solve w*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*f + 35 = 0, 3*f = -2*s - 2 - 3. Let n be (1 - (-18)\/s)\/((-14)\/455). What is the greatest common divisor of n and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 2 (b) 4 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -0.01 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let x(a) = -a**2 - 14*a. Let b(t) = -2*x(t) + 14*z(t). Let g(s) = -267*s**2. Calculate b(g(v)).\nAnswer: 142578*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 7) to base 11.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - 5. Let v = n + 90.8. Let d = 21\/2 - 11. What is the closest to -3 in v, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 8. Suppose 4*p + 11*p - 105 = 0. Let i(k) be the first derivative of k**2 - 4*k - 63. Determine p*i(v) + 3*a(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwvvwvvvvvvwvvv. Give prob of sequence vw.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -61 + 159. What is the units digit of (-3 + q)\/(15\/(-6000))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 5 + (6 - 5) + -34.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x + 9. Let h be w(10). Let t(b) = b - 7. Let n be t(h). Let s = 14 - 13.97. What is the biggest value in s, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 5*t + 16. Let x be (138\/t + 2)\/(1\/(-3)). Suppose -z = -y - 5, 4*z - 2*y - y - x = 0. Let p(m) = -m**3 + m**2 - m - 2. Give p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -100. Solve 2*v = -3*a + 7*v - 2, 0 = a - k*v - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-18)\/4))\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002063 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 - 0 - (0 + -3). Let r = -11 + p. Let g = -16 - r. What is the remainder when 29 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -85. Let d(k) = k**3 - 9*k**2 - 19*k + 11. Does 22 divide d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.46, 12, 31, -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2189270 and 163.565.\nAnswer: 2189433.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 4. Let h(g) = 29*g + 19*g - 70*g + 23*g. Calculate h(r(j)).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74824321?\nAnswer: 11, 13, 29, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -439709\/134 <= -3280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.05 (c) -105\/8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30504000 divided by 1906500?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8721 and -89\/3672?\nAnswer: 69768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2210 + 2230. Calculate the greatest common factor of 2500 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/485 and -47\/970.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/4))\/(w*(w\/(w*w**(-32)*w))\/w) assuming w is positive.\nAnswer: w**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5562 (b) 0.3 (c) -1\/5 (d) -500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -442*m + 191. Is p(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006129595516 to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230128 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/102352 and 77\/933962?\nAnswer: 7471696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 433492272 to the power of 1\/2, to the nearest integer?\nAnswer: 20820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0 - w**3 - 3*w**2 + 1\/12*w**4 - 10*w. Calculate y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4 - 3*z + 2 + 1. Let g be f(-1). Find the first derivative of -2 + 0*o**2 + 1 + g*o**2 wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299278 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 26, 82, 190, 368, 634, 1006?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -24*f - 38. Let l be v(-9). Suppose -l = -k - k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3625*g = 24107 + 12143 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, 1 t, and 1 i when four letters picked without replacement from aetutettattuie.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2120685 and 738785.\nAnswer: 5315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1.6, 0.5, 3, 0.3 in decreasing order.\nAnswer: 3, 1.6, 0.5, 0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + 3651?\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/18*42\/(-35)*-15. Solve -22 = -39*u + w*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-60))\/(-2*(-3)\/1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4158031 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*s - 246, -2*s - 2*a - 63 = -3*s. Let x = -19 + s. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 1\/11 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5414925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 4*f**2 - 4*f + 2. Let p be a(2). Let r(s) = 3*s**2 - 7*s - 15. Is r(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*u + u - 7372348 = -56221. List the prime factors of u.\nAnswer: 3, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 13. Suppose 13*z - 256 = 17. Calculate the remainder when u(z) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -263\/261?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 4, i: 7}. What is prob of picking 1 i and 3 n?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9691097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28171)\/13002*20\/195?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27494 + -27296. What is the least common multiple of 286 and g?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 43*t + 9. Let d be k(-6). Solve -5*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-218)\/6 + (-3)\/(-9). Let i(f) = f - 12. Calculate the remainder when i(37) is divided by a\/(-2)*(-2)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -48\/5. Let x(g) = -7*g**3 + g**2 - 5. Let c(d) = -d**3 - 1. Let b(l) = 6*c(l) - x(l). Let w be b(0). Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 7*q + 3. Suppose 0 = 5*p - 4*k + 19, 5*p = 2*k + 8 - 35. Let x be s(p). Let b = 8 + -4. Solve 0 = t - b*g - 17, -3*t - x*g = g + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8756007*p**5 - 1725607*p**2?\nAnswer: 525360420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519 or 22?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -922.167 to zero decimal places.\nAnswer: -922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*u**4 + 23*u**3 + 960*u + 18 wrt u.\nAnswer: 780*u**2 + 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {g: 2, p: 6, t: 7}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -5. Let u = 0.232 + 5.768. Let h = u + i. Which is the closest to 0.1? (a) h (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtdmttdttmm. Give prob of sequence mtmd.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 261256 divided by 4?\nAnswer: 65314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from uuuuusuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 24*t**2. Let h(k) = 2*k + 6036. Calculate s(h(z)).\nAnswer: 96*z**2 + 579456*z + 874399104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/3 - ((-42050)\/(-280))\/29. Is -5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-505)\/404)\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19415829 + 19415667.00154. Let f = -162.86 - -0.86. Let q = f - o. What is q rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660 + -5\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 296 - 3?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35237*y**4 + 26461*y wrt y.\nAnswer: 422844*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -908 - -999. What is the remainder when 739 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 4.7. Let w = y - 3. Let o = -1.5 + w. Sort o, 4, 5 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**4 + 30*o**3*y + 4758*o**2*w + 30*o + 64*w*y - 147*y wrt o?\nAnswer: 108*o**2 + 180*o*y + 9516*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**4*(o\/(o**(-3)\/o))\/o)\/((o**(-2)\/o)\/o)**29 assuming o is positive.\nAnswer: o**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) 0.3 (c) 61 (d) 1\/11 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:35 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -73908912378335 and 1.2.\nAnswer: -73908912378333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2206006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Suppose w = -c + 2*k + 2, 5*c - 4*k - 2 - 8 = 0. Sort 3\/2, c, -4.\nAnswer: -4, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 3. Let z be p(8). Let t = -2 + z. Sort 1, t, 0.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 231000758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*y + 6 - 124. Which is greater: -6\/2911 or y?\nAnswer: -6\/2911","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/92556 and 8?\nAnswer: 92556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-325)\/40 + 1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -3, -2 in descending order.\nAnswer: 5, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22343034 (base 5) in base 10?\nAnswer: 199769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 1, -2*a = 5*o - 17. Suppose -17 = -o*z - 0*m - 5*m, 0 = -3*z - 4*m + 16. Find the third derivative of -t**4 - t**2 - z*t**4 + 4*t**4 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/(1\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -26. Let c be (-2)\/q - 774\/22. What is the remainder when ((-12)\/15)\/(2\/c) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-14) + 2\/(-7). Suppose 0 = y*d - 3*d - 434. Suppose d = 5*r - 48. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*(-8)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465982 < 5863931\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-111)\/(-12) - 9*(-12)\/(-432)) + 247. Which is smaller: 2039\/8 or p?\nAnswer: 2039\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**30\/(s**(1\/2)*s)**(1\/32))\/((s\/(s*s*s\/s**(2\/7)))\/(s*s**(3\/2)*s)*(((s*s**(2\/3))\/s)\/s*s)**(3\/10)) assuming s is positive.\nAnswer: s**(78327\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(8\/100)*162\/1755\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383*t - 56430 = -357*t for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2923900 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 - -3.7. Which is the nearest to 0.3? (a) n (b) -0.01 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j + 1. Let u(g) = 3*g**3 - 7*g**2 + 8*g + 14. Let p(b) = -u(b) + 4*w(b). Let o = 11 - 18. Is 18 a factor of p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388\/1309 - -2\/187. Let b be -6*(-7)\/((-28)\/6). Let o be 9\/(-27)*b - 11\/4. What is the biggest value in 0.5, o, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99008 and 61938240?\nAnswer: 1052950080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -47*l**2 + 2. Let i(m) = 800*m**2 - 35. Suppose 3*x = -4*w - 34, 47*w + 1 = 3*x + 46*w. Determine x*i(u) - 35*c(u).\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2115 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 7*c - 10. Let l be z(4). Let i(m) = -3*m - 14. Let a be i(l). Suppose -5*s + 11005 = 5*w, -s = w + a*s - 2205. Round w to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 12:36 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474577407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -22*s - 3. Let t(i) = -i - 1. Determine 3*t(v) - u(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:15 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzwd when four letters picked without replacement from {d: 2, z: 1, a: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 72 = -3*c, -b + 2*c = 4*b - 334. Is (-2)\/(-11) + (240030\/b - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169422 (base 10) to base 2.\nAnswer: -101001010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let r be i(4). Let u(j) = j**2 + 6*j - 177. Let b be u(-17). Suppose b*p - 32 = r*p. Calculate the least common multiple of 14 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 29 - 21 = 4*y, -5*z + 10 = 4*y. Let f(k) = -4*k - 9. Let d(j) be the third derivative of j**4\/24 + j**3\/6 + 2*j**2 + 226. What is z*d(v) + f(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2070.6 and 0.2866484.\nAnswer: 2070.8866484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 551.\nAnswer: 22\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-216)*-6*10\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let i = -0.3 + v. Let j = 198\/7 - 28. What is the nearest to j in i, -2\/5, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 4:18 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**4 + p**4 + 4*p**2 - 6*p**5 + 4*p**4 wrt p?\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -562634*g**4 - 187869*g**2.\nAnswer: -13503216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-105) - 4\/(-10). Let u = -11 + 67\/6. Sort m, u, -3 in increasing order.\nAnswer: -3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 5. Let p be m(-4). Let y = 6 - 6. Suppose 30 - 6 = x + 2*k, x - p*k - 19 = y. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10\/(w*w**(-2\/7)))\/(w\/(w*w**(-1\/6)*w*w)*w*(w*w\/w**(-6))\/w*w) assuming w is positive.\nAnswer: w**(89\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9171*o**3*z - 3*o**2*z + 2*o**2 + 925*z wrt o.\nAnswer: 55026*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*q, -4*x + 4*q + 19 = 3*q. Let g(j) = j**3 - j + 1. Let l be g(x). Suppose -3*y = m - l, -5*m + 3*y + 235 = 4*y. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*i - 1 = 3, -2*i - 16 = 4*x. Let m(r) be the second derivative of -r**3\/6 - r**2\/2 + 2*r. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.272 - -0.82. Let p = r - -0.352. What is p rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1584))*4 - (5*1*sqrt(11) - (1*sqrt(704) - sqrt(704))**2).\nAnswer: -16 + 43*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23272, -46554, -69844, -93142, -116448?\n\"Answer: -4*t**2 - 23270*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -87*w**2 + 12*w = 0?\nAnswer: 0, 4\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1553 + 1635 - l + 1501 - 1076 in the form p + d*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 3*m + 3*m - 2*m + 2*m + m + (-5*m - 3*m + 6*m)*(3 + 0 - 2) - 2*m + 2*m - 2*m - 199*m - 84*m - 70*m - 1 as o + p*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 3*m + 0*m + 2*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 - 0.41. Does -2\/7 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 15. Let l(o) = -1. What is -30*l(u) - 2*s(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683699*y = 683703*y + 136 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 + 16 = 0. Let u(i) = i + 11. Let v be u(-11). Suppose -5*t - 5*r + 30 = v, r = 5*t - 4*r - 20. Solve 3*z = d*z + t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -1.05. Let j(y) = -10*y + 551. Let r be j(55). Which is the closest to r? (a) w (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(3 - 3))\/2. Let p(f) = 2 - 2 + k*f + 3*f. Let l(v) = -3*v. Give l(p(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 + (-138219)\/(-102)). Let d = f - -1354. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2.6, -1, 0.2, 1.25, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p**4 + 2824669*p**3 - 23753371431*p**2 + 118978860651*p - 1413048605 = 0. What is p?\nAnswer: 1\/84, 5, 16811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -1, 38\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -4*a, 4*a - 8 = -5*f + 19. Let q = -2 + a. What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 4*f - 4. Let o(u) = -u**2 - 2*u + 2. Determine 3*i(h) + 7*o(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-245388)\/1352*(-4)\/33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 10)*(61*z - 41*z + 70*z)*(0*z**3 + z**3 - 3*z**3).\nAnswer: -1080*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/103, -1.3, 3\/5, -1.1, -13 in decreasing order.\nAnswer: 3\/5, 4\/103, -1.1, -1.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52688103*r**3 - 167750873*r**2 wrt r?\nAnswer: -316128618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1156617026 to 3 dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 475 = -288. Let l = b + -107. Is (7 + -7 + l\/4)*3022 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.690916 + -6.688. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 33*p**3 + 3*p**2 + 3*p - 4. What is the remainder when m(2) is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - h + 3*h)*(0*h - 4*h + 2*h) + 4*h**2 - 5*h**2 + 3*h**2 - 3 - 2*h**2 + 3 - 3*h**2 + 5*h**2 - 3*h**2 as w + f*h + y*h**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597267927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 467 - 470. Let c = 0 + -0.1. Put 1\/3, v, -0.3, c in descending order.\nAnswer: 1\/3, c, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l. Give z(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 7*f**6 + 11 - 11 - 8*f**2 wrt f?\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:31 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31011 or -25?\nAnswer: -31011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -86283919 and 322.\nAnswer: -86283597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -175d + 14?\nAnswer: -1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*h**3*o**3 + 6*h**3*o**2 - 21*h**2*o**3 + 6*h**2*o + 10*h*o**3 - 198*h*o**2 wrt o?\nAnswer: -966*h**3 - 126*h**2 + 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -718 + 718.000005488. What is n rounded to 7 decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 1 c when three letters picked without replacement from {m: 1, v: 1, c: 7, k: 10}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsonwoaowwaooaannano. Give prob of picking 1 o and 1 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/98 and -131\/72912?\nAnswer: 72912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 8*h = -21*h + 4896. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10)*-50)\/1. Let o be ((-4)\/b)\/(5\/(-25)). Let z = -0.3 - -0.4. What is the third smallest value in o, z, -5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29483 = 2*m - 429973. Suppose 6*t - m = t. Let u = t + -59049. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:18 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let o = 1 + -5. Let c be v(o). Let y = 11 - c. Put -1, 2, y in increasing order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:13 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 4:05 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 23. Let d be k(3). Calculate the common denominator of -27 + 3 - (-24)\/d and -23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29917505?\nAnswer: 5, 457, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 - 56*w**2 + 56*w**2.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.8 + 10.2. Let v = -60 + m. Which is bigger: 5.5 or v?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.81086 millimeters to meters.\nAnswer: 0.02981086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 273183823 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p\/p**(3\/10))\/p*p)\/p*p)*p**10\/p)**19*(p**(6\/7)*p\/((p*p*p*p**(-5)\/p)\/p))\/((p**4*p)\/(p**(-1)\/p)) assuming p is positive.\nAnswer: p**(12289\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2) + sqrt(2))**2 + 3)*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5379*t + 89269 = -243429 + 29901 + 44605 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**8\/1344 - u**7\/126 - u**6\/36 - 11*u**5\/20 - 11*u**2. Let h(z) be the third derivative of d(z). Find b such that h(b) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15538 + 1505. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = 2*j. Let q be (25 - 23 - (-1 - 1)) + 6. Suppose -q - 20 = -6*z. Put 2, -4, z, j in increasing order.\nAnswer: -4, j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = 5*u - 20, u = x + 4. Suppose 0*d - 2*d - 4*j = -6, 2*d + 3*j - 7 = x. Calculate the common denominator of (-879)\/(-330) - (-1)\/d and 75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -46, -53, -50?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 726 + -638. Suppose 104 = -4*v + z - 99, -3*v - 2*z = 166. Let u = v + q. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 11*o**2 + 12*o + 3. What is the units digit of f(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:48 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8218 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**4)\/j*j**(-8)*j)**(-1\/7)\/(j**5\/j**(-7)*((j**(2\/7)*j)\/j)**(1\/8)) assuming j is positive.\nAnswer: j**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -781.451 from -0.2.\nAnswer: 781.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18997 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 14, 33, 60?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**2\/2 - 7. Let y(x) = -173 - 159 - 46*x + 318. Let j(o) = -10*o - 3. Let k(z) = 14*j(z) - 3*y(z). What is u(k(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-22))\/((-2)\/(-4)). Let o = 197\/714 - -1\/102. Let m be -4*1\/20*2. Which is the nearest to m? (a) 4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Suppose -s + 7 = 3*j - p*j, -s = -3*j - 17. Let c(l) = -3*l**2 + 2*l**s + 0*l**2. Let v(k) = -2*k. Calculate c(v(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 20. Let f = 9 - d. Suppose -f*j + 10 = -10. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2256 by -94.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 0.014 (c) -0.5 (d) -10 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 38*n**3\/3 - 5*n**2\/2 + 4*n + 27. What are the prime factors of z(2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsf when three letters picked without replacement from {h: 14, s: 5, f: 1}.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2. Let d be ((-10)\/4)\/(45\/(-36)). Let a(b) = 3 - 3 - d*b**2 + 10*b**2. Let w(t) = -4*t**2. Let x(r) = -3*a(r) - 7*w(r). Determine x(k(c)).\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 24*l**2 + 2*l - 882. Is 137 a factor of y(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9 + (-94)\/(-6). Solve -10*x + g*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/2940 and -52\/3465.\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 19*p**2 - 1 + 8 - 2 with respect to p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**7\/70 + 39*c**6\/40 - 399*c**5\/20 + 361*c**4\/8 - 1297*c**2. Find j such that u(j) = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n - 29 + 29)*(4 - 1 - 2)*(0*n + 0*n + 2*n).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let j be (-60)\/(-80) - (-34)\/8 - 4. Suppose -101 = 5*b - 2*d, 5*d + 11 - j = 0. Are q and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y**2 + 6*y**2 - 8 + 8.\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 9 = -2*m + a, 20 = -4*a. Suppose -5*r = -m*r - 30. Suppose -6*k = -k - r. Let t(c) = c**3 - 2*c**2. Calculate t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 2. Let z be g(0). Let c = z + 6. Suppose -3*f + 5 = 4*l, c*l + f - 20 = -l. Solve 3*s - 4 - l = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24)*(-24)\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 (base 13) in base 12?\nAnswer: -775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2060\/3 or -687?\nAnswer: -2060\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -0.27. Let l = 2.94 - -0.06. What is the second smallest value in b, l, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)*20\/15. Let k(a) = -2 + v - a**2 - 2. Let i(p) = 20*p - 175 + 175. What is k(i(y))?\nAnswer: -400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 3*b**2 + 6*b - 4. Let l be z(4). Suppose l - 27 = -f. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 - 79?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3492 in -1\/3, 2\/5, 1.5, -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose -2*x + a - 4 = 0. Is -2 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1153381791 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 5. Let v be z(5). Let d = v + 16. What is the units digit of (-1)\/2*-1*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllllllqrpxllrdxld. Give prob of picking 2 l.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-2))\/((2\/(-2))\/1). Suppose 2 + 4 = p*h. Solve -h*a + 4 = -4*a + 2*u, 2*a - 5*u = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (959\/14 - -2)*28\/21. Solve b = -31*u - 92 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/(-1058))\/((-23120)\/3910).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -23.1. Let v = -0.5 + 2.5. Let c = -2.3 + v. What is the second smallest value in q, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1359*j - 31. Let t(b) = -680*b + 17. What is 6*p(n) + 11*t(n)?\nAnswer: 674*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/13 + 6*d**3\/13 + 4*d**2\/13 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {k: 1, s: 4, o: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2 + 2*n + 3. Let l be h(-1). Suppose -84 = l*x - 12*x. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(150\/(-4))*(-1240)\/(-160)*36\/6.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 46. Let o be -6*((-3)\/(-6))\/1. Let m be (-6)\/(-9) + (-4)\/o. Solve -1 = -4*f + m*j + 1, -p*j = 3*f - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6066381349 rounded to 5 dps?\nAnswer: 0.60664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:31 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 0 + -39 + 39.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(1088) + -2 + sqrt(1088))**2*-3 + (-5 + (2 + sqrt(1088))*-5)**2)*-6.\nAnswer: -86226 - 7200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -942, -46, -9 in increasing order.\nAnswer: -942, -46, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2640321094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111001111001001111 (base 2) to base 16.\nAnswer: 339e4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48090 and 100989.\nAnswer: 1009890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b - 32. Let k(p) = 12*p**2 + 2*p - 22. Let c be k(b). What is the units digit of c\/9 + 1 + 2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2 + -1 - 1) + (-20 - -34)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 1. Suppose -1 + 4 = l. Let a(j) = -61*j + 4 - 2 + 60*j. Let x be a(l). Determine r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*d**2 + 138*d**2 + 179*d**2 - 644*d**2 + 177*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720))*-5 + 4 + (-2 + sqrt(720))*6 + 4)**2.\nAnswer: -96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205.2666885 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - -2*sqrt(91))*2)\/(-6*-2*sqrt(7)))**2*2.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 3*v**2 + 6 + 0*v**2 + 4*v**2 - v. Let q be d(5). Let i be (-16)\/168*(q - -2). Which is the closest to i? (a) 4 (b) 0 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**7\/840 + j**6\/120 - j**5\/30 - j**3 + 3. Let p(o) be the third derivative of b(o). What is the units digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3647562l in millilitres?\nAnswer: 364.7562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Suppose 8 = c*f, -3*p + 2*f = 5*f - 32706. What is p rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74600 divided by 1?\nAnswer: -74600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -972164 divided by -4\nAnswer: 243041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -5. Let c(r) = r**3 - 9*r**2 - 36*r + 7. Let o be c(12). Is v not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 117365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 3. Let x = 29 + -23. Let z be g(x). Suppose 4*o + z = 9. Is -10 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66, 0.1, 1, 5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 42. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -42. Suppose -7 = -5*g + 18. Suppose g*v - 33 - 47 = 0. What is the remainder when n is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 1. Let n(t) = -10*t - 6. What is -3*n(r) + 14*x(r)?\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 6 - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r - 228. Let i = 144 + r. Let d be (2 + -1)\/(i\/8). Which is the nearest to 1? (a) 1 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b79a (base 14) to base 5.\nAnswer: -31342223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 1999026?\nAnswer: -37\/1999026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6332*i**4*p - 5883*i**3*p - 2*i**2*p + 11*i**2 + 4*i*p + 10*i + p - 6 wrt i.\nAnswer: -151968*i*p - 35298*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-102) - (-7)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 170 = 313 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-9)*5\/(-120)*4*10.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:35 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**3 + 24*h**2 + 24*h. Let r(k) = -2*k + 3. Let f be r(4). Let z(o) = -2*o**3 - 5*o**2 - 5*o. Let c be 54\/15*(-80)\/12. Determine c*z(x) + f*b(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8896 times -0.4?\nAnswer: 1.15584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31735492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -9*w + 8*w + 117, 286 = 3*w + 2*y. Let v = w - 84. Let c(q) = -q**2 + 9*q - 6. What is c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 37\/330*x**5 - 147*x**2 + 1\/33*x**6 + 4\/1155*x**7 + 5\/22*x**4 + 3\/11*x**3 + 0*x + 2. Factor y(l).\nAnswer: 2*(l + 1)**2*(2*l + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 608, 607, 606?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-9*4\/((-72)\/102). Let y be (-225)\/4 - (-4)\/16. Let c = z - y. What is the greatest common divisor of 55 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {y: 1, m: 1, u: 1, g: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 5*y**3\/3 - 10*y**2 + 24. What is t in f(t) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 18*z**2 + 7*z - 104. Let f be o(18). Sort f, 2, -5 in descending order.\nAnswer: f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 523753 by 42.\nAnswer: 523753\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 4*i - 5. Let s(g) = -2*g**2 - 10*g + 22. Let c be s(2). Calculate b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114a (base 13) to base 4.\nAnswer: -211330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k = -24. Suppose -k + 119 = 5*w. Let v(r) = r**3 + 6*r**2 - 9*r - 4. Calculate the remainder when w is divided by v(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -668.500002751 - -668.5. Round f to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3913.122 times 0.5\nAnswer: 1956.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let x(z) = z**3 + 176*z**2 - 1473*z - 184. Let t be x(-184). Solve 0 = -4*b + l*m + 20, b + 5*m - 5 = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 27*y - 144 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 28. Let b be n(18). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.038 + 0.028. Let j(t) = -t**2 - 2. Let w be j(0). Which is the closest to 0.1? (a) m (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*h + 10 = 0, -4*k - 2*h - 5 = -35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35847*j - 32674 = 36374*j for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 3*g. Let q(v) = 11*v**3 + 17*v. Suppose 2*b = -5*p + 179, 64 = p + p - 3*b. Let f = p + -1. What is f*k(r) - 6*q(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3651513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2*o - 17 + 17) - 3 + 1 + 3 - 3*o.\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/28 + 30\/8. Let r(c) = -2*c - 5 - 4 + 10 - q*c**2 - 4. Let s(l) = 3*l**2 + l + 2. Determine 4*r(m) + 6*s(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233732 = -58*z + 106032. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 - 213. Let c(b) = 5*b**2 + 249. What is 3*c(l) + 2*n(l)?\nAnswer: 5*l**2 + 321","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyb. What is prob of sequence jb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -10, 6*l - 3*p + 2 = l + 4*l + 2*p for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 460\/9 - 51. What is the nearest to 2 in 4, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**3 + 7*u**2 - u + 4. Let t(o) = 12*o**3 - 15*o**2 + o - 7. Let h(k) = 5*s(k) + 2*t(k). Determine h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11202331 - 10220301?\nAnswer: 322030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*o**6 - 180*o**2 wrt o?\nAnswer: -24360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295343287 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y*y\/y**(-1)*y*y**(-1\/6)*y**(-7))\/(y**(-4\/7)\/y**9)**32 assuming y is positive.\nAnswer: y**(12941\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(1377) - (-2 + ((sqrt(170)\/(-3*sqrt(10)))**2 - sqrt(17))).\nAnswer: 1\/9 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/5 + 4818*g**2\/5 + 38391*g + 167790 = 0. Calculate g.\nAnswer: -34, -5, 1645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242199403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 0*f**3 - f**3)*(0 + 0 - f) + 2*f**3 - 2*f**3 - 2*f**4 + (5*f**2 - f**2 - 5*f**2)*(-11*f - 3*f + 6*f)*(-5 - 2*f + 5).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 75, 1 in descending order.\nAnswer: 75, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95261965 to the nearest integer?\nAnswer: 9760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - g - 14 = 0, -3*n - 354*g + 22 = -359*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acbv when four letters picked without replacement from aaybayygvcv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10500060 - 3?\nAnswer: 10500054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*h + 33 - 9 = 0, -a - 8*h - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 - 3*f**2 - 7*f - 763. Calculate i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckm. What is prob of sequence ck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 43*b + 40*b + 44*b - 130*b. Let j(k) = -38*k + 86. Determine a(j(z)).\nAnswer: 114*z - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 10*o - 31. What is k(6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 - 297. Suppose -4*z - 2*l - 15 + d = 0, 5*z = 5*l + 170. Let t be (1 + -3)*(-3)\/2. Calculate the highest common factor of t and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 132, 321, 586, 927, 1344?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3970 != 26\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (60\/40)\/(1*1\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 5. Let b(h) = -24*h + 14. Suppose x + 5*y + 3 = 3*y, 33 = 5*x - 2*y. Determine x*b(s) + 14*l(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11020 = -493*a - 174 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = 25*h + 17820. Let k(t) = 24202*t - h*t + 3 - 15. Let d be k(-4). Round d to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/140 - (-3)\/7\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:42 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 4*k**2 + 7*k**2 + (4*k + 4*k - 4*k)*(3*k + 2*k + 4*k).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5610 divided by -6\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-33))\/(-27*(-8)\/(-648))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/378)\/(4\/6))\/((-123)\/(-656)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -8. Let s = 2 + a. Suppose 3*o - 5*o = 0. Sort o, s, 4.\nAnswer: s, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from onorrrrtjrttoot?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -607, -1924, -4069, -7030, -10795, -15352, -20689?\n\"Answer: 2*q**3 - 426*q**2 - 53*q - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 - 3*l**2 + 2*l + 3. Let q(k) = -5*k**3 + 3*k**2 - k - 2. Let n(t) = 4*h(t) + 5*q(t). Let x = -7 + 11. Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -30, -54, -86?\n\"Answer: -4*x**2 - 4*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -54, -109, -176, -249, -322?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1573) - sqrt(1573)*-2) + 0)**2 + 0 - (sqrt(143) + (sqrt(143)*-3 + sqrt(143))*3)\/(sqrt(22)\/(sqrt(2)*-3) + sqrt(11)).\nAnswer: -645*sqrt(13)\/2 + 14182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/18*(-9)\/((5\/55)\/((-22)\/(-242))).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66160 (base 9) in base 3?\nAnswer: -2020012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 307.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 6955*f**2 + 69925*f - 175125 = 0. Calculate f.\nAnswer: -1401, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -51*(-69)\/391?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*p - 257*n*s + 5*n - p**2*s - 106*p**2 - 21*s with respect to s.\nAnswer: -257*n - p**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + ((-14)\/(-4))\/(3\/6). Suppose -60 - 48 = n*b. Is (1172\/12)\/((-2)\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiiiiimaiiijoiaii. What is prob of sequence mo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1645.05 + -2418. Let m = 773 + h. Which is the closest to -2? (a) -6 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16333?\nAnswer: 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8787 and 11919.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(-9))\/(8\/12 + 0). Let b(g) = g**2 - 7*g - 1. Let v be b(a). Is (v\/(4\/(-758)))\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 441232100412?\nAnswer: -441232100410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 less than 111018\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -23222*o - 325110. Give h(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-41664*h + 20513*h + 20504*h - 2) in the form t + x*h and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -1 + -170 + 88 + 94.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4550, -4545, -4538, -4529, -4518, -4505, -4490?\nAnswer: -4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 - -164. Which is the closest to j? (a) 4 (b) -5 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 5 = 2*o, -2*o = f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 14 = 3*l + k, 6 = -2*l - 2*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 5*g**2 - 2*g + 27*g + 32*g.\nAnswer: -5*g**2 + 77*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144, 17011, 57374, 135983, 265588?\nAnswer: 458939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.02 and -13694.\nAnswer: -109825.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**8\/336 + b**7\/105 - b**5\/30 - b**4\/24 + b**2 - b. Let x(p) be the first derivative of c(p). Factor x(w).\nAnswer: w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + 2. Let t = l + -3. What is the greatest common divisor of t and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -6 + 4 - (-92996)\/9369?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b + 9038 = -45*b + 34*b + 2051 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*d + 55*d - 1 + 6*d**3 - 7*d**3 - 4*d**2 - d**4 to the form w*d**3 + n*d + h*d**4 + j + c*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) 3429 (c) 7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*w = 3*w + 34, 4*q + 68 = w. Let j(x) = 2*x**2 + 20*x + 4. What is the units digit of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-4))\/(11\/(-44)). Suppose -162 = -w - 4*g, 4*w = -0*g + l*g + 648. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 3, u: 1, a: 3}. What is prob of sequence chu?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*z = 55, 11*z = -3*r + 9*z + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -2*c - 48. Let h be ((-188)\/c)\/((-1)\/2). Suppose 2*b = -10, y - 344 = 4*b - b. What is the greatest common divisor of h and y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 + 6.9. Let m be ((-18)\/(-4))\/(44\/8). Let k = m - 95\/143. Which is the third biggest value? (a) s (b) k (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -485 + 484. Does 83 divide (-5 + s)\/((-4)\/(149 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*c + 45 = 0, 0 = -l + 2*l + 5*c - 21. Let t be (-4)\/6 + ((-20976)\/(-18))\/8. Let k = -139 + t. Calculate the lowest common multiple of k and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 3166?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 25*x + 13. Let k be i(10). Suppose p + k = 5*z - 4*z, -4*p + 150 = 2*z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*z**2 + 857*z**2 - 2582*z**2 + 859*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 + d**3\/6 - d**2 - d. Let q(k) = -k**3 - 35*k**2 + 33*k - 106. Let j be q(-36). Calculate y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/1403, -3, 6, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, -2\/23, -2\/27, 0.061 in decreasing order.\nAnswer: 1, 1\/3, 0.061, -2\/27, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -17*g**4\/4 - 2*g**3\/3 - 4*g**2 - 30*g. Find the second derivative of k(r) wrt r.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. Let u = -5 - -25. What is the greatest common divisor of o and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 396924.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21 + 6 - p + 4 + 5. What is g(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 6*g**2 - 2*g**2)*(-24*g**2 - 26*g**2 + 46*g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015087491 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 + 3*s + 1. Determine d(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.0362 - 0.0362. Let g = h - 15. Let c(u) = -2*u**2 - u - 1. Let b be c(-1). What is the biggest value in 0.1, b, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725405?\nAnswer: 5, 59, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -31. Let r be d\/(-15) + 68\/(-3). What is the remainder when (-162)\/(-4) + (-11)\/r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-16)\/(-24)). Let z = 1.8 + -56.8. Let k = z - -50. What is the closest to -1 in j, 0.5, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 8, z - 2079 = -4*h. What are the prime factors of z?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101 - (2 + -8 + 74 + -78)) + 13?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.5 * 0.1.\nAnswer: 4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - 119b7?\nAnswer: -119fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + r + (-1 + 2 + 1)*(-4*r + 6*r - r) + 0*r + 0*r - r - 5*r - 7*r + 13*r - 2 + 2 + 2*r)*(-2 + 2 + 2) to z*r + h and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262731 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 22 = 2*n, -3*c + c + 3*n + 1 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/4 - 1347*i\/4 + 1345\/2 = 0. Calculate i.\nAnswer: 2, 1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.4 - 20.4. What is the closest to -5 in y, -0.3, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -5*f - 37. What is the least common multiple of 20 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 918 + -78. Suppose -3*z + i = 17*z. Let o be 9\/15 + 67\/5. Calculate the greatest common factor of z and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/12 - 7*k**3\/6 - 5*k**2 - 2*k - 21. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 7, y: 6}. What is prob of picking 1 j and 3 m?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose f = -5*s + 2*s + 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4*y + 4966*c**3*y + 12*c + 3*y wrt c?\nAnswer: 24*c**2*y + 29796*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 12)*(1 + 0). Let m be (1*(0 - 1))\/((-25)\/100). Suppose 0 = n + 5*o + y, 3*o + 2 = m*n + 5*o. Calculate the least common multiple of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -111*h**2 + h + 2. Let v be y(-1). Let m = v - -121. What is the remainder when 97 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = -0*r. Suppose 2*h = -r - 1, -2*h - 4 = -y. Suppose 5*s + 30 = 5*j, y = -j + 3*s + 4. What is the smallest common multiple of 1 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*o + 36, 8 = 5*o - 4*t - 31. Calculate the greatest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 777 and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10686930 divided by 6\nAnswer: 1781155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4736 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*q - 579248 - 486712. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959475*b**3 + 319930*b**3 + 319930*b**3 + 319619*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 30 - 38*q - 42 + 64*q.\nAnswer: 26*q - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206779?\nAnswer: 206779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2280)\/(-52) + 18\/117. Suppose 0 = -p*r + 18*r + 3926. Calculate the remainder when r is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 65277527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 954 - 66761\/70. Calculate the common denominator of s and 37\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 5*q - 3*q)*(5*q + q**3 - 4*q + 2*q**3) in the form n*q**4 + a*q**3 + f + i*q**2 + o*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.036, 0.08 in ascending order.\nAnswer: -5, -0.036, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2640 and 14353240.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2. Let t(x) = 1. Let a(o) = -4*o - 12. Let q(c) = a(c) + 12*t(c). Calculate q(i(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - 121. Let v = -141 - i. Sort -2\/5, 0.3, v in ascending order.\nAnswer: v, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*1 - (-1309)\/(-11)*-1. What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -8*w - 16. Let y be ((-1820063)\/42 - (-6)\/w)*-30. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71358594 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 6. Let j be g(5). Suppose -23 = -3*f + j. Let a = f - -8. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 88 (b) -4 (c) 1\/6 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -65*s - 92. Let q be t(-7). Let f = 410 - q. Calculate the remainder when 232 is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2*i + 1. Let n be a(-5). Let p(o) = o**2 + 12*o - 19. Does 3 divide p(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let z(v) = 3*v. Let w(q) = -6*n(q) + 5*z(q). Let k(g) = -2*g**2. What is w(k(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 542743 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110202112001200012 - -11?\nAnswer: -110202112001200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 3*r**4\/8 - r**3\/2 - 17*r**2. Let t(d) = -8*d + 3. What is 6*f(v) + 7*t(v)?\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 110181 = -164367 - 128447. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Suppose -2*x = y*x + 4*n - 178, 5*x - 5*n - 160 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8055*a + 3914730. What is q(-486)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -13*o**2 + 18*o + 42. Calculate q(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/165 and 149\/61200.\nAnswer: 673200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 163 + l + 181 - 82 - 16.\nAnswer: l + 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*d - 249*d - 134*d + 845*d)*(0*d**2 - 2*d**2 + 4*d**2).\nAnswer: 658*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 8*s**2\/3 + 190*s\/3 - 16 = 0?\nAnswer: -24, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + c - c + (3 - 2 + 1)*(c**4 + c**4 - c**4) + 2*c**4 + 4*c - 4*c + 2*c**4 + 9*c**4 - 10*c**4 + (-2*c**2 + 7*c**2 - c**2)*(2*c**2 + c**2 + 25*c**2).\nAnswer: 119*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2646 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 60.4537+-16233\nAnswer: -16172.5463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 13. Let i(v) = -20*v + 41. Let j(p) = -2*i(p) - 7*z(p). What is j(5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131667709997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence affh when four letters picked without replacement from {a: 2, f: 2, h: 1, g: 4}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 8*s + 6. What is the closest to -3\/5 in s, -1\/4, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*(s*s\/(s*s*s*s*s**(2\/41)))\/s)\/(s**(2\/3))**(-2\/117))**(2\/45) assuming s is positive.\nAnswer: s**(-317678\/647595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - z + 4*z)*((6*z - 4*z + 0*z)*(0 - 1 - 1) + 8*z + 17*z - 6*z) to f + i*z + a*z**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88346 by -70.\nAnswer: -44173\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4 + -1)*2. Let i be (a + -1)\/(0 + -1). Suppose -6 - 26 = -i*d. Calculate the least common multiple of 6 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2399, -3586, -4773, -5960, -7147, -8334?\nAnswer: -9521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03492 - 0.06409. Let v = u + 0.0271. What is v rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 20 = 5*x, 0 = -h + 2*x - 5 + 13 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 + 3*c + 3. Let o = -9 + -18. Let v be 7\/(42\/o) - 6\/4. Let r(k) = -8*k**3 + 3*k + 4. Calculate v*u(f) + 5*r(f).\nAnswer: 2*f**3 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 + 0 = 3*w, 0 = 4*w - 3*f - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 0.2. Let o be (6 - 288\/30)\/((-3)\/10). Let p be 4\/o*(-12)\/16. Which is the second biggest value? (a) p (b) x (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/28)*f**16\/f*f*f\/((f*f\/(f*(f*f**(2\/19)*f*f*f)\/f))\/f)*f**(-5\/4) assuming f is positive.\nAnswer: f**(5291\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31800, -129802, -293138, -521808, -815812, -1175150, -1599822?\n\"Answer: -32667*d**2 - d + 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 87 - 92 = 2*v, -4*v + 83 = w. Calculate the remainder when 991 is divided by w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 9*s + 4*s. Let c(k) = k**3 + 7*k**2 + 5. Let y be c(s). Solve -y*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + a34?\nAnswer: a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 - 36. Let l = 199 + p. Let k = -7 + 24. What is the highest common divisor of k and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/17 - 128\/17 = 0.\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1973 divide 411948589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 10 - 8 - 2 + 2 + 6 + 4 - 2 - 3 + (1 - 1 + 1)*(2 + 3 - 4) - 3 + 3 - 2 + 0 + 3 - 4)*(4 - 4 - h)*(-9 - 10 - 14) in the form z + q*h and give q.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, n: 2, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 - -151. Let w(r) = 84*r**2 + r - 3. Is w(c) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5150\/17 smaller than -304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -968 at least as big as -4836\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 358, 680, 1012, 1360, 1730, 2128?\n\"Answer: n**3 - n**2 + 318*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.11 (b) -3 (c) 2\/9 (d) -143\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/3167 less than 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.635 and 162.\nAnswer: 102.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -162 in -2\/5125, -1\/8, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(3\/11)*k*k)\/k*(k*k**(-3)\/k*k)\/k*k)\/(k\/(k**(-11)*k*k*k)*k**(-3)))**(-25) assuming k is positive.\nAnswer: k**(1450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 16*c + 1. Determine s(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4137*k**5 - 48*k**4 + 2*k**3 - 62*k + 87219 wrt k.\nAnswer: -82740*k**3 - 576*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33 - 6*r + 30 - 14. Let p be s(9). Which is the closest to 1? (a) 1 (b) p (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -114, -159, -182, -177, -138?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087*g - 1074*g + 3*g**2 - 4*g**2.\nAnswer: -g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 381782910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5427485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 0*s + 3*s + (6*s + 5*s + 2*s)*(-1 + 3 - 4) + 0*s + s - 4*s + (3 - 3 - 2*s)*(0 + 2 - 4) to w*s + u and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2. Let g(h) = 1700*h**2 + 400*h + 80. Let y(c) = -63*c**2 - 15*c - 3. Let m(j) = 3*g(j) + 80*y(j). Give b(m(u)).\nAnswer: -10800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:14 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 3*v + 2. Let t be m(2). Let y(f) = f - 4. Let l be y(t). Suppose 4*k - 12 - 48 = l. What is the highest common factor of 120 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 953 + -947 - ((0 - 1) + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -479017*k**2 - 1437034*k + 4. Give q(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 14) in base 11?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-4)\/2*(215\/(-15) - -14). Which is the closest to 0.2? (a) t (b) 1\/3 (c) 7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 80. Let a be 411\/2289*-1 + m\/84. Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and -1\/151718548.\nAnswer: 303437096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**2*n**2 - 50*g**2*n - 5*g*j*n**2 + 18*g*n + 23*j*n**2 - j*n - n**2 wrt n?\nAnswer: -20*g**2 - 10*g*j + 46*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22*m**2 + 3*m - 6. Let q be o(-8). Is (-2)\/(-5) - q\/5 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 12*l**2 - 4*l + 3. Give g(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkklkk. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3231 divided by 3.\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*z**3 - 177241 + 176820*z + 1683\/4*z**2 = 0.\nAnswer: -842, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/3 + 10*s = 0. Calculate s.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 19. Let y be i(-6). Let t be y*(-108)\/(-4) + -2 - -2. Suppose 7*p - 15 = t. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -816\/11 + 74. Let i = -14 - -15. Which is the second biggest value? (a) 28 (b) o (c) i (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -125*d - 2080. Let h be x(-17). What is the highest common factor of h and 2187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 - s + 3. Let p be u(0). What is the smallest common multiple of p + -1 - (-6 - -2) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**2*s**2 - 2*f**2*s + 14127864*f**2 - 3*f*s**2 + 10880*s**2 wrt s.\nAnswer: 18*f**2 - 6*f + 21760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 26715\nAnswer: -7\/5343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 563 - 558. Let d(k) = -s*k**2 + 15*k - 20*k + 4 + 0 - k**3. Give d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j**(5\/6)*j)\/j)\/(j\/(j*j*j**4)))**(-31) assuming j is positive.\nAnswer: j**(-1457\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/11 - (-11859 - -2). Let h = t - 473969\/40. What is the common denominator of h and -73\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6788 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -84766*y**3 + 4*y**2 - 9*y + 8. Let q = -105 + 113. Let z be r(q). What is z rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/7 - 16*v**4\/7 + 30*v**3\/7 + 8*v**2\/7 - 40*v\/7 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3249878 is divided by 634?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-6) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-24)\/33)*-40*(-73)\/(-1460).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g**2 + 3*g + 2. Let s(h) = 47*h**2 + 9*h + 6. Let o(p) = 6*s(p) - 19*u(p). Calculate o(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18793 and 206718\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3092 and 25\/1596.\nAnswer: 1233708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8658798l in millilitres?\nAnswer: 865.8798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.255 in 0.16, -0.07, -2\/5, -3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-34 + 31 + 12 + (2 - 5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(399)*1)\/sqrt(7) + sqrt(57)))\/(2*(sqrt(18) - sqrt(162))\/sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(10) + 1*sqrt(360))\/(1*sqrt(180)).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 16) to base 13.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 491740783*w**6 - 92*w**2 + 138434*w - 1 wrt w?\nAnswer: 59008893960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.193343 from 83.\nAnswer: 81.806657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-3)\/9)\/(1\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = -a. Suppose -82 - 92 = -a*o. Suppose -o = -4*c + n, -2*c + 31 = 3*c - 3*n. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3*(-594)\/1188.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-35)*((-3)\/(-3))\/(1\/(-5)). Let f(s) = 5*s + 4. Let a(b) = 11 + 11*b - 4 - b. Let r(n) = h*a(n) - 7*f(n). Let k(y) = 3*y. Give k(r(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66395 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 + 181.188. Let v = k - -9.812. Let a = -733\/438 - -1\/146. What is the third smallest value in a, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111100111000 + -1100?\nAnswer: -110011111101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(((t*t**(-2\/7)*t)\/t)\/t*t))*t*t*t)\/(t*t\/(t*t**10))*(t*t**20)\/((t**(18\/11)*t)\/t) assuming t is positive.\nAnswer: t**(2470\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, u: 3, i: 4, b: 1}. What is prob of sequence zz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times 66?\nAnswer: -2.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 100*b = 101*b + 3, -5*n + b = -15. Let p = -8 - -4. Suppose 0 = -7*y + 2*y + 20. Put n, y, p in decreasing order.\nAnswer: y, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -9*d + 16. Solve b - 12 = -d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -9) + 1 + -1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-161)\/(-92)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*p - 5*l, 9*l = 2*p + 13*l + 12. Let x be p\/(-8) + 11077\/44 + -4. Suppose -20*r + x - 8 = 0. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*c = 44, 28*d - 91*d + 14*c = -28*d - 36*d + 154 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**5\/60 + y**4\/8 + 19*y**3\/6 + 8*y**2 - 23. Let s(d) be the second derivative of v(d). Does 10 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 17. Let a be b(-6). Put a, -4, -3, 3 in descending order.\nAnswer: 3, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 11*u**2 - 11*u + 16. Let g be l(-12). Solve -2*t = g*x - 14, -3*x - t - 4 = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.3 + 2.3. Suppose -3*p - 2*p = 20. What is the closest to -3 in j, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710090?\nAnswer: 2, 5, 17, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {a: 5, d: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**5\/5 + 3*r**4\/2 + 4*r**3\/3 + 13. Factor o(n).\nAnswer: 2*n**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 792*h**2. Let c(d) = -48*d + 20. Let j(f) = 68*f - 28. Let w(o) = 7*c(o) + 5*j(o). Determine t(w(i)).\nAnswer: 12672*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 7*y + 12. Let l be j(-6). Let p(x) = 2*x**3 - 2*x**2 + 8. Let v be p(0). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2873 and 157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-4))\/((-20)\/(-40)). Solve -3*z + 3 - 9 = 3*j, -2*j = z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.89 + -0.64798\nAnswer: 24.24202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g + 3 = 0. Let d be 1 + 2\/(g + 290\/98). Calculate the common denominator of 103\/6 and 1 + (-628)\/d + (-6)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1932 and 1173?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 0*d**2 - 2\/3*d**4 + 1\/3*d**3 - 4*d. What is the second derivative of l(k) wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18988930*r + 32974737.\nAnswer: -18988930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.42 - -0.02. Let n = -11.2 - -11. Which is the third smallest value? (a) n (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (164\/(-24) + 6)*2\/(-10). Factor -1\/2*s**4 - 1\/6*s**5 - p*s**2 - 1\/2*s**3 + 0*s + 0.\nAnswer: -s**2*(s + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -39, -110, -239, -444, -743, -1154, -1695?\nAnswer: -2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.04.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -3) + 6 + 1. Find p such that 0 + 0*p - 1\/4*p**o - 1\/4*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xki when three letters picked without replacement from wkjkvjkwvvvvivjvxi.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/801536 and 45\/4.\nAnswer: 801536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22803233 is divided by 20433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzszzzkszzzgsszks. Give prob of picking 1 z and 1 s.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 21 = -4*a, 7*a + 83*b + 21 = -82*b + 172*b for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:21 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 15*j**4 - j - 10*j**4 - j as p + c*j**4 + a*j**2 + f*j**3 + t*j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.8 (b) -6 (c) -0.2 (d) -391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507310.\nAnswer: 2, 5, 97, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-23)*h)\/h)\/h*h)\/(h**(-15)\/h))\/(h**32*h\/h**(7\/2)*h) assuming h is positive.\nAnswer: h**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - m**2 + 5*m - 1855*m**4 - 3 + 1530*m**4 in the form t*m**4 + z*m + l + x*m**3 + h*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 0*g**2 + 5*g**2)*(-2*g - g + 2*g) - 4*g**3 + 2*g**3 - g**3 - 5*g**3 - 21*g**3 + 2*g**3 to r*g**3 + x*g + h + m*g**2 and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-30) - 23\/6. Sort t, 3, 2 in decreasing order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*t - 4*n, t + 1 = -n - 15. What are the prime factors of (34*(-6)\/(-10))\/(t\/(-360))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/10 - (-3)\/(-5). Solve -d*w - w + 4*m = -8, 4*w = -5*m - 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -65. Let y = 202342.0129 + -202328. Let q = x + y. What is q rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-7) + 4\/(-28). Suppose 8 = r*f + 23. What is the nearest to -0.1 in -4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(2\/5)*i**(-8)*i*i**(-1\/2) assuming i is positive.\nAnswer: i**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80020 and 2505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = m + 3*m + 3*z, -3*m + 11 = 2*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - n. Let m be q(0). Which is the biggest value? (a) -0.2 (b) m (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -32.11. Let p = -32 - u. Let d = -6 - -2. Which is the second biggest value? (a) p (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 204. Calculate the remainder when w is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 + 2)) + (-4 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c + 14 = -2*j + 64*c, 3*j = -4*c + 47 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3 + 611*v + 600*v + 630*v - 1873*v. Determine c(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -150*b**4 - 15060*b**3 - 5868*b**2 + 9021*b. Let n(w) = 15*w**4 + 1506*w**3 + 587*w**2 - 902*w. Let c(z) = 21*n(z) + 2*r(z). Solve c(p) = 0 for p.\nAnswer: -100, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*k - k - 2*k - k - 44*k - 3*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 58300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 810 = -7*s. Suppose -115 = -5*t + 5*d, 5*t + 5*d - 206 = -s. Calculate the remainder when 70 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/19, 2\/13, 0.8, 0.2, 284 in decreasing order.\nAnswer: 284, 0.8, 0.2, 2\/13, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368877, 737768, 1106659, 1475550?\nAnswer: 1844441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -249, -496, -743?\n\"Answer: -247*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 23*h + 13*h)*(7*h**2 - h**2 + 0*h**2).\nAnswer: 210*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -46 - 93) + 238.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 2*sqrt(110))\/sqrt(10)*-4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 87 in increasing order.\nAnswer: 2, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 7. Let u be f(1). Let r(v) = v**3 - 6*v**2 + 7*v + 6. Let m be r(u). What is the highest common factor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -364 + 32. Let j = w - -178. Calculate the highest common divisor of j and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 11*q = 12*q - 5, p + 0*p = -5*q + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6352.185um in centimeters?\nAnswer: 0.6352185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108010933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-2)\/(14\/(-7))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-20))\/(24\/96)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2433*c - 2431*c + 4846*c. Let o(t) = 21*t. Give f(o(i)).\nAnswer: -378*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -3*i**5\/5 + 26*i**3\/3 - 15. What is the third derivative of d(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 2\/13 (c) 5 (d) 17 (e) 2\/283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -225*(-946)\/2150*1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27)\/(1*(-5)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 5. Let f be o(-2). Solve -2*h + h + 3*q = 0, 13 = -f*h - 4*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1714 + 1750. Calculate the least common multiple of 720 and t.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 92830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123300.9 years to months.\nAnswer: 1479610.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awswassaassaawga. What is prob of picking 2 w, 1 g, and 1 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448034747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 0. Let y = -0.0252 - -0.052. Let c = y + m. What is c rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 588 - -2?\nAnswer: 58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 10. Let g(c) be the second derivative of -7*c**3\/6 - c**2\/2 + 7*c. Let i be g(1). Let u(y) = y**2 + 7*y - 8. Let t be u(i). What is s(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -1 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005508 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5016 divided by -3.\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 80?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2, -1, 119 in increasing order.\nAnswer: -3, -2, -1, 0, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-4))\/((132\/(-12))\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(8 + 5486\/(-676))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 2*-5*(2 + (sqrt(1900) + -1 - sqrt(1900)))) + 4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) + (-22)\/(-5). Suppose -s = 2 - r. Suppose 30 + 62 = s*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -36 - (-1 + 7 - (15 + -15))) + -27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 + 406 = -21*h + 221 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*c**3 - 2 - 6*c**4 - c**2 + 59*c**3 + 0 to j*c**4 + s*c**3 + t*c + w + r*c**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 194*h + 103. Let p be o(-48). Suppose 2*b - 2 = 4. Let a(g) = -4 + 2 + 0*g + g. Let q(n) = -2*n + 4. Calculate b*q(v) + p*a(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11328 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047308562 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10))**(-35)\/(l*l**(2\/11))**28)**48 assuming l is positive.\nAnswer: l**(167328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 + 14*m - 6. Let k be v(-10). Let x = k + -280. Suppose q + 5*c - x - 477 = 0, 5*c = 2*q - 1242. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8253 and 142266?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6368888 and -39\/3416?\nAnswer: 44582216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357*((-14)\/6 - -3) is divided by (-2)\/(-2 - ((-429)\/72 - -4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -38*d + 6. Suppose 2*t + 3*b + 2 = 0, -2*t - 3*b - 10 = 2*t. What is the hundreds digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 2600045*k - 2600045*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4977 and 8631.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172432.7ml in litres?\nAnswer: 172.4327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = -6. Let o = x - -15. Let g(u) = 7*u + 7. What is the remainder when g(6) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Let s(t) = 4 - t - h*t + 2*t**2 - 3. Let a be 12 + 0 - (-2 + 11). Calculate s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 827*q**3 - 827*q**3 - 52*q**5 + (4 + 0 - 5)*(-q**3 + q**3 + q**5) - 3*q**5 - 4*q**2 + 4*q**2.\nAnswer: -56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*i - 290204, 4*j - 5*i + 57541 = 347763. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 + s - 11 to the form h*s + k and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*g + 546*g - 1157*g = 65 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 2*l - 2*l)*(31 - 7*l - 31) - 5 + 8*l**2 + 5 in the form j*l**2 + f + a*l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 782 + -770. Let f = 42 + -20. What is the remainder when f is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 60165*c**3 - 240959745*c**2 - 319740566535*c + 5833752562170.\nAnswer: -5*(c - 18)*(c + 4017)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/4 - 41*v**3\/4 + 11551*v**2\/2 - 131716*v + 43264 = 0.\nAnswer: -104, 1\/3, 26, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 44 + (-2 - (9 - -3)) - (23 - 3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 379429 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1669633002 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1.61 (c) 1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23272.\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(77*b**2 + 667*b**2 - 744*b**2 + 8106*b**3) in the form s*b**2 + z*b**3 + t + y*b and give z.\nAnswer: 8106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -i. Suppose 3 = l + 2. What is the greatest common divisor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 44, 143, 322, 605, 1016?\n\"Answer: 4*p**3 + 4*p**2 + 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 13*b**2 + 21. Let g be a(-13). Suppose -5 = 4*l - g. Suppose -u = -5*z + l*u + 1060, -1020 = -5*z - 5*u. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16*-15*(-100)\/8*-134. Round f to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.74953 millilitres to litres.\nAnswer: 0.00274953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 2. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 10010101001101010111?\nAnswer: 10010101001100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 6240*w**2 + 1662685*w - 79339650.\nAnswer: 5*(w - 897)*(w - 290)*(w - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2326, 3824, 6322, 9820, 14318, 19816?\n\"Answer: 500*j**2 - 2*j + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose b*o = 5*g + 24, 2*o - g = -2*o + 32. Suppose o*m + 78 = 366. What is the smallest common multiple of m and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -15238214\nAnswer: -15238140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02990598 - -0.0299. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3920 and -93\/6370?\nAnswer: 50960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-25)*m*(m\/m**(5\/4))\/m assuming m is positive.\nAnswer: m**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -1 + (sqrt(1764) + sqrt(49))\/sqrt(7) + 1 + (-1 + (sqrt(63) - sqrt(7) - sqrt(7)))*5 + sqrt(84)\/(-2*sqrt(48) - sqrt(48)))**2*3.\nAnswer: -385*sqrt(7) + 42403\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/11 - 49120116*f\/11 - 301598224481682\/11 = 0.\nAnswer: -12280029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlllhllhlhhl. Give prob of sequence hh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95693 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20571259 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364429286 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157706 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17045 divided by -5?\nAnswer: -3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*-2*-1. Let r be 4*j\/(-4) - 2. Suppose -9 = -5*d + 3*u + 56, -d - 5*u + 13 = r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1)*(-2 + 0). Suppose -191*m = -197*m + 48. What is the least common multiple of 1\/n*-4*6 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 + -6 - 3) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 4 - 42 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35872 - 107?\nAnswer: -35979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 22*g**2 - 176. Calculate the smallest common multiple of t(-19) and 16.\nAnswer: 14512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v - 3. Let m(x) = -6*x**2 + 5*x + 8. Let d(r) = -8*l(r) - 3*m(r). Suppose 3*g + 2 = -1. Determine d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z = 69*z + 24*z - 1304. Solve -z*v = 7*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 + -0.36. Let o be ((-124)\/93)\/(8 - 0). Which is the closest to w? (a) o (b) 2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.041.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 2535, -4 in descending order.\nAnswer: 2535, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5\/40 + s**4\/16 + s**3\/24 - s**2\/8 - 231. Factor f(i).\nAnswer: -i*(i - 2)*(i - 1)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -505 - -1?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 6. Let z be j(7). Does 3 divide (-2 - z) + 1 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*n + 22 = 0, -4*a + 9*a - n = 46. Suppose -48*j = -46*j + a. Let b(q) be the first derivative of -q**2 + 2*q - 1. Give b(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j + j + 3*j)*(-j - 4*j + 3*j)*(9 + 12 - 4) in the form z*j + c*j**2 + f and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007241415 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5343244 and 14624?\nAnswer: 42745952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 38*n**2 - 119*n - 1491. Calculate l(-40).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 18*r**2 + 15*r - 1. Let b be i(-17). Let k = b - 37. Suppose 5*z + v + 0 = 1, 6 = -2*z - 2*v. Put k, z, -3 in descending order.\nAnswer: z, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:40 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/60 + (-21)\/84\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064 minus 0.1?\nAnswer: -2064.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 0*s)*(-3 + 3 + s**2) - 28*s**3 - 16*s**3 + 14*s**3.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*f + 10, -4*f + 0*m = -5*m - 11. Is f != 8\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-20) + (-99)\/(-36). Let t be 14*852\/(-5966) + z. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 10 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 20. Let y = q + -26. What is the closest to 0.1 in -0.2, y, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64 - 8*h**2 + 65 + 21*h**2 + 462*h - 14*h**2 to the form t*h + j + w*h**2 and give t.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86354 - 11031 + 3217 = 1160*z + 268*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/7 - 9751108*l\/7 + 23771026806916\/7.\nAnswer: (l - 4875554)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 34*g + 12. Let k be o(-17). Solve 5*m - 3*h - k = 0, 0*h - 8 = -3*m + 2*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 89531?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179753580 a multiple of 1647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458961361?\nAnswer: 458961361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 3, -351, 3\/5, 0 in descending order.\nAnswer: 3, 3\/5, 0, -2\/15, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2, -172687, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3498, 7254, 11010, 14766, 18522?\n\"Answer: 3756*k - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l. Solve l = -2*g - 0*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: bb (base 16) to base 9\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*2)\/(11\/55)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42550608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181901287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose -2 = -k*y - 0*y. Suppose -12*d + 9 = -3. Are y and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 10 = 3*x. Suppose -c + 322 = 4*u, -u + x*c = -4*u + 250. Suppose z = 6*z - u. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -218, -484, -856?\n\"Answer: -53*k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 21692.\nAnswer: 43384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-165)*-22)\/(2\/10)*6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 0. Let z = q - 3. Put z, 5, 4 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from gsegegfseqegeegqsgg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f - 2. Let z be v(0). Let y be (0 - 0) + (-28)\/z + 2. What is the greatest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.96 - 10. Are h and -1\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -103369 and -103380 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265 + -151. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1524980975 - 1084.\nAnswer: -1524982059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**2 + 4*s**2 + 9*s**2 - 76 + 3*s**2 as c*s + o*s**2 + k and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -479957c + -5?\nAnswer: -4799583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -96, -224, -400, -648, -992, -1456?\n\"Answer: -4*l**3 - 100*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 30*r**2 - 28*r + 120. Calculate the remainder when 268 is divided by u(-31).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*j**2 - 6*j**3 + 201*j**2 - 693*j**2 + j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273 - 125 - 235)*(6*m**5 - 3*m**5 - m**5).\nAnswer: -1266*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-7 - 3 - -27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36514409?\nAnswer: 19, 23, 83557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 40872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 20. Let k be c(14). Let i be 2\/4*k + -2. Find the third derivative of -3*h**6 + 0*h**6 + 53*h**2 + 2*h**6 - 57*h**i wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**3*p + 93*j**3 wrt p?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Find the first derivative of 7 + 23*d + v + 2 - 3 wrt d.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (1 - (2 + -3)). Let l(o) = -4*o**3 - o**2 + o + 1. Let k be l(u). What is the third derivative of -2*y**2 - 3*y**2 + k*y**6 + 2*y**2 wrt y?\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1558 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*c. Let s be 1 - (4*-1)\/c. Solve -5 = s*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211120121200 (base 3) to base 8\nAnswer: 3561754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j - 272*j + 1538*j + 82843 - 25153 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51552377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -513\/7 at most as big as -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 40*k**3 + 3*k - 3. Let p(g) = -119*g**3 - 10*g + 8. What is 8*f(l) + 3*p(l)?\nAnswer: -37*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 1125, 3073, 5861, 9483, 13933, 19205?\nAnswer: 25293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 z when four letters picked without replacement from {o: 2, p: 2, z: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Let u(h) = h**2 - 34*h - 991. What is the remainder when u(-20) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c + 73 + 203. Let h be -2*-1*2\/(-4). Let j be (1*(-4)\/c)\/(h\/9). Solve j*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3752 and 624?\nAnswer: -234.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/120 + t**4\/6 + 2*t**2 - 11. Let p(h) = -2*h. Calculate 7*p(j) + 3*s(j).\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1030 and 83224.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 59. Sort -3, r, 9 in decreasing order.\nAnswer: 9, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - s - 28, a = 4*s - 9. Suppose -5*o + 4*j + 2 = 19, 2*j = 5*o + a. Let d be (-1)\/(-2) - 62\/108. Which is greater: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:42 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62709*b**2 + 51 - 24 - 27 - 144826*b**2.\nAnswer: -207535*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550 divided by -62194?\nAnswer: -775\/31097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppt when four letters picked without replacement from ttfptptdppxxptwttp.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3)\/((-2)\/(-50)). Suppose -3*j + 12 + z = 5*n, 3*j + 3*n = 45. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -306, 1, -6, -228 in decreasing order.\nAnswer: 1, -6, -228, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 30*s - 2 = -v, 5*s + 10 = 0. Which is the fourth biggest value? (a) 0.4 (b) -90 (c) -5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 35774050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w + 120. Let h = w + -12. What is the remainder when (-323)\/(-57)*50\/6 + 10\/(-45) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r + 168*r - 48 + 164*r - 498*r + 250.\nAnswer: 3*r + 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 18. Let c(z) = 11*z**2 - 49*z + 174. Let j(d) = 2*c(d) + 21*x(d). Determine j(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716009221 a multiple of 4099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 254, 578, 1064, 1730?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 + 37 = -180*g - 69*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, k: 4}. What is prob of sequence eef?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -48*y. Let q(m) = m**2 + 3*m - 6. Let n be q(-5). Let x be 24\/(-14) - n\/14. Let o be k(x). Calculate the highest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*n**4 + 760*n**3 + 325*n**2 - 310*n + 45 = 0 for n.\nAnswer: -9, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgfssgsfsf. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12 and -41\/376264.\nAnswer: 1128792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 3*q - 19*q**2 + 21*q**2 + (5 - 5 - 2*q)*(3*q - 3*q - q).\nAnswer: 4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 2:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae (base 15) to base 11.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 14*t - 3*t)*(-6 - 9*t - 6 + 11) to the form v + a*t**2 + w*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359 * 16238.\nAnswer: 5829442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-12)\/(-352)). Let c = 61 - u. Let p = c + -94. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa + -31?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*f + 3 = 19, 2*f = s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 6*o - 240. Suppose 0 = -3*x + 4*s + 420, 2*s = -0*s. Calculate the remainder when x is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/68*66\/(-330).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 1 - (5 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.298 - -0.827. Let x = 0.929 - w. Sort x, 3\/8, 2\/11 in descending order.\nAnswer: x, 3\/8, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*u**3 - 501*u.\nAnswer: 864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 10. Let o be z(-7). Solve -o*n + 9 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*w - 24 + 24.\nAnswer: 294*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26588.6 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 6*r**2 + r - 6. Let i = -3 + 9. Let m be s(i). Suppose -1 = 5*q + 3*a + 1, -q + 2*a + 10 = m. Put q, 4, 5 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -2171*z**7\/14 - 2*z**3\/3 - 202*z**2 - 1288*z. Find the second derivative of f(d) wrt d.\nAnswer: -130260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -288, -231, -174?\n\"Answer: 57*f - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.3 + -4. Let p = 1 - 0.5. What is the smallest value in -1\/6, p, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -4. Let x be 1\/(a\/(-4)*-2). Let q = 17.8 - 18. Sort q, x, 2\/7.\nAnswer: x, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-130) + (-316)\/10. Which is smaller: -32 or c?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336327359 a multiple of 4061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -420, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, e: 1, f: 6, g: 3, z: 4, v: 2}. What is prob of picking 2 v and 1 g?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7666, 7701, 7768, 7879, 8046?\nAnswer: 8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b**2. Let v = -79 + 118. Let s(g) = 0*g - g + 39 - v. Determine w(s(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 8 = 24*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.3 - 0.0846?\nAnswer: -454.3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002981121 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 69069240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34112 (base 13) to base 3.\nAnswer: -11210211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1901.5097\nAnswer: 950.75485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:42 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 108 = 99 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 + 7*u + 6. Let h be i(-2). Let a be ((-454)\/(-5))\/(6\/30). Suppose 3*v + 4*m - 348 = 0, 4*v + h*m - a = 14. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let t be q(-5). Let k(w) = 4*w + 3. Let u(y) = 13*y + 10. Let d(p) = -7*k(p) + 2*u(p). Let j(a) = a. Calculate t*j(z) - d(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -31*n - 24*n + 61*n. Let b(p) be the third derivative of 0*p + 3\/8*p**4 - 12*p**2 - 3\/2*p**n + 0. Find the first derivative of b(i) wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 37 = 16*b. Let f = -24 - -44. Calculate the remainder when b is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 13*k**2 + 351*k - 111. Calculate g(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 + 42*h + 1953. What is t(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 446 = -86. Calculate the highest common divisor of 4590 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 44*m**5 + 5*m - 7*m**5 + 2*m**5 + m**5 + (m**3 + 5*m**2 - 5*m**2)*(-2*m**2 + 5*m**2 - 4*m**2).\nAnswer: -49*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4972 in -2\/13, 0.8, 5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 - 130 = -10*n. Let b be 0\/n*(20 + -19) - -4. Solve -b*s - 18 = 3*r - 4*r, 5*s + 12 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/20 - (-38)\/10. Suppose u*a - 5*a + 5*z - 7 = 0, -z = 3*a - 59. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p + 29. Let g(h) = 11*h - 28. Let c(m) = -4*d(m) - 5*g(m). Let j(w) = 3*w - 12. Let x(t) = 4*c(t) + 7*j(t). What is the derivative of x(b) wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1063 + 5*x**2 - 8*x**2 - 8148*x + 8147*x + (1 + 2 - 1)*(x**2 + 4*x**2 - 4*x**2).\nAnswer: -x**2 - x - 1063","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -2*v - 40. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928.04 rounded to 0 decimal places?\nAnswer: -928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Suppose -36 = -v*j + 2*l, 4*l + 6 = j - 12. Let x = -129 - -195. Calculate the highest common divisor of j and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27234 and 4896.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*i = 2452, 3*i + 2874 + 4491 = 3*f. What are the prime factors of f?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12259.5621 to the nearest 10.\nAnswer: 12260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 339552 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 2, t: 1, i: 2, l: 1}. Give prob of picking 1 i, 1 l, and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.83 + 45.83. Let y = 45.3 - g. Which is the closest to 0.1? (a) y (b) -3\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44949*n = -40980*n - 230202 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 + 47 + (13 - 41)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**5 - 21846*v**4 + 262521*v**3 - 459816*v**2 - 2144436*v = 0.\nAnswer: -7294, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109217 is divided by 8397?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0.3, -4, 6\/5, -0.13.\nAnswer: -20, -4, -0.13, 0.3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 568.6\nAnswer: 568.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 16024520.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 44*o - 213. Give s(-49).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1709, 1684, 1651, 1610, 1561?\n\"Answer: -4*z**2 - 13*z + 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 24*i**2 - 2930*i\/3 - 6688.\nAnswer: (i - 38)*(i + 6)*(i + 176)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kay when three letters picked without replacement from kkycmkakaaak?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 16*q - 75. Let g be t(20). Solve -m - 4 = 3*n, 6*m - 7*m + 4 = -g*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -6\/5, 21151, -2\/9 in increasing order.\nAnswer: -5, -6\/5, -2\/9, 0.2, 21151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11837?\nAnswer: 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-10) + (-3)\/(-5). Sort 1, -4, f, -2.\nAnswer: -4, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mttt when four letters picked without replacement from {t: 8, m: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -15. Suppose 2*h + 11 = y*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314 and 85094.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {o: 2, h: 4, c: 2, s: 5, v: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 764.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (-112)\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -57, -64, -77, -96, -121?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31 + 2 + 0\/(-1) - -1. Let k = 34 - l. Solve -2*m + 2*q + 12 = -k*m, -4*m + 5*q + 26 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, -23, -137, -297?\n\"Answer: -23*u**2 + u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122555111 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -614*z - 21. Let a(x) = 614*x + 16. Determine -4*a(h) - 3*j(h).\nAnswer: -614*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5823 (base 11) to base 7\nAnswer: 31204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 w when three letters picked without replacement from {s: 1, b: 1, g: 1, w: 1, m: 2, f: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -98. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -1\/2*j**2 - 3 - j. Let t = 11 + -6. Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 519660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 1736 - 1599 = 165*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 200. Suppose 3*d = -l*d + 3584. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-55))\/(9\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2.81. Let d = c - 0.189879. What is d rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/468?\nAnswer: 1\/468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 25 = 5*f, -4*f + z + 22 = 3*z. Let n(a) = -a**3 + 9*a**2 - 6*a - 11. Let d be n(f). Let y = 15 - d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771*i**3 + 10 + 3 - 13.\nAnswer: 1771*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 2*k**2 + 2*k + 12*k**2 + (82*k**2 - 5 - 80*k**2 + 121*k + 3)*((0 - 3 + 1)*(-9 + 5 - 3) - 5 + 4 + 0).\nAnswer: 33*k**2 + 1575*k - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117)\/(sqrt(9)*-1 - sqrt(9)) + 4))**2.\nAnswer: -100*sqrt(13) + 1925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5 - 0)\/((-27)\/189))\/((-1)\/(-3)). Calculate the highest common divisor of v and 693.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84147624 a multiple of 3258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:47 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -703, -2346, -5537, -10792?\n\"Answer: -86*d**3 - 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 43 + 147. Let n = l + 35. Calculate the greatest common factor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose -v - t*v + 27 = 0. Suppose -j = 3*f - 6, 3*f - 5*j + 3 = v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 109\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238 (base 16) to base 3.\nAnswer: 210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2831 and 24244?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 312\nAnswer: 41\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 18*l - 241. Calculate v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206158 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: Factor 2*k**2\/7 + 97168*k + 36723672\/7.\nAnswer: 2*(k + 54)*(k + 340034)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2570\/364*12\/1815. Let g = i - 5\/91. Let l = g + 365\/242. Sort l, 3\/5, 2 in descending order.\nAnswer: 2, l, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 + 19*o**2\/2 + 22*o - 31. Let z be q(20). Calculate the greatest common factor of 5 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79717 * -2.4.\nAnswer: -191320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6137*u - 316 = -6133*u + g, -79 = u + 2*g for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1069, -1859, -4.\nAnswer: -1859, -4, 2, 5, 1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 4)*(-2 - b + 2) + 2622612 - 2622612 - 203*b)*(-4 + 2 + 4) to the form t + a*b and give a.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563473?\nAnswer: 37, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1.7063\nAnswer: -4.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -5*g, 4*i + i + g = -16. Is (2\/i)\/(8\/(-324)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 2*g**2 - 2*g - g**2)*(0 - 5 + 1) - g**2 + 4*g**2 + g**2 + (6 - 3 - 2)*(3*g**2 - 4*g**2 + 2*g**2) in the form l + j*g**2 + w*g and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2455 + 1464?\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 6*j + 7. Let w be t(0). Let o be (-473 - (14 + -7))*w. What is o rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 26*x - 93. Solve 5*c + 3*l - 26 = 0, 6*c - 10 = c + x*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v**5\/2 - 1497*v**4\/4 + 1734*v**3 - 2333*v**2 + 780*v = 0. Calculate v.\nAnswer: -780\/7, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/(2\/(-10)). Suppose 2*i - 6 = -0*i. Let j(q) = q**3 - 11*q**2 + 19*q + 7. Let n be j(9). Solve 5*v + n = -i*o, m*v = v + o - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 260, 522, 786, 1052, 1320?\n\"Answer: l**2 + 259*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640104 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3575917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(58\/116)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/27*-1*(-3)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*f - 8 = 0. Let a be 1 + 0 + -1 + (4 - 2). Let k be 9\/a*2\/(-6). What is the nearest to f in 1\/8, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19800 and 16650?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -0.4, -5, -0.501, 0?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x**2 + 5*x - 1. Determine n(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:14 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1266 + 921. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-15))\/1)\/(2\/40*14).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*o + 2*v, 5*o - 64*v + 68*v + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 103.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14320 and 8950.\nAnswer: 71600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*a + 1539*a + 1789*a + 2 - 5105*a.\nAnswer: 12*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 653199*y**2 + 25. Let g = 11 + -16. Let z be s(g). What is z rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:04 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/11)*q\/(q*q**(12\/11)) assuming q is positive.\nAnswer: q**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:26 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.103632 - 541.813632. What is a rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*b - 12, 4*b + 0*b = 4. Calculate the lowest common multiple of 1 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(15\/(-6) - -1). Let q(j) = -j**t - j**3 - j**2 - j + 4 - j - 3*j**2. Give q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7495)\/6)\/(-2*4\/48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110111011 + 11000011110?\nAnswer: -1100110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 9*y + 8*y + 33*y**3 to o*y**2 + h + k*y**3 + x*y and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102120 + -11?\nAnswer: -102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6404.188 to the nearest integer.\nAnswer: -6404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19715 and 30991150.\nAnswer: 30971435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - 8. Let f = 12.2 + m. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -0.286\nAnswer: -3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -23*b + 14*b. Let x(o) = 2*o**2 + 2*o - 20. Let g be x(b). Calculate the greatest common divisor of g and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 4*r = -670. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Let d(b) be the first derivative of -2\/3*b**3 + 2*b + 0*b**p + 2. Factor d(o).\nAnswer: -2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 3980578*z.\nAnswer: 2*z*(z + 9951445)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 234d6 (base 15) to base 13\nAnswer: 3c270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1460*m**3 - 5*m - 1424*m**3 + 4344*m**3 - 1471*m**3.\nAnswer: -11*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1812 - -1599.95. What is i rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 6*k. Suppose -24 = 4*n - y, 17 = -3*n + y - 1. Is 18 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrvrrrrrjrrrrirrs. What is prob of picking 3 r?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-9)*q))**18 assuming q is positive.\nAnswer: q**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - 8*k + 8*k**2 + 71*k**4 + 18*k + 2*k**3 - 4*k - 5*k**2 in the form x + d*k**3 + f*k + r*k**4 + c*k**2 and give r.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 519*z + 41. Is o(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 4:47 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.29309 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -8 + (-3 - (1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*q + 3. Let d be q\/12*(3 + -4). Find u, given that 1\/2*u**4 - d*u**5 + 0*u**3 - 1\/2*u**2 + 1\/4*u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 5*a**2 - 17 - 4*a**3 + 3*a**3 - 4*a**2 to j*a**2 + r*a + o + x*a**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -59. What is the remainder when 39 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/56 and ((-3)\/(-42))\/(12\/544)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2845 - -2877. Solve -33*p + 5 = -k*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(612) + -2 + (-1*sqrt(612)*-3)**2)*1.\nAnswer: -11008 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 5*y - 26*y + (0*y - 2*y + y)*((0 + 2 - 1)*(5 - 4 + 1) + 1 - 2 + 0).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66696 divided by -4.\nAnswer: -16674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 196*w**4 - 7384*w**3 + 107920*w**2 - 184800*w = 0. Calculate w.\nAnswer: -33, 0, 2, 10, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1384 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/6)\/(28\/(-63)). Put -0.2, 2, c in descending order.\nAnswer: 2, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*r = 8*r - 30, -2*u + 2*r + 24 = 0. Let h(q) = -q + 26. Let y be h(u). Solve 5*n - 26 = -y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l + 1. Suppose -l*a - 25 = -4*z + 7, z - 21 = 4*a. Let i(m) = -m**2 - 3*m + 2. Let t be i(a). Sort 2, t, 3.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.179998 - 0.18. What is n rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/9)\/(2\/3). Suppose 4*d + z*q = 6, d + 3*d - 2*q = -8. Let y = d + 13. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48521183, 48521184, 48521185, 48521186?\n\"Answer: f + 48521182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5894584*i**4 + 2032*i + 2999*i**5 + 5894584*i**4 wrt i.\nAnswer: 59980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42800 to the nearest 100.\nAnswer: -42800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40169a6 + 2?\nAnswer: -40169a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/12 + 3)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from oohbbhoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = 5*f - 23*n - 32, -4*n - 8 = 2*f. Suppose -4*w - 9 = -25. Solve -f*h = 5*l - 28, -w*l = 5*h - 2*h - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(180) - (sqrt(180) - (sqrt(180) + 1))**2) + sqrt(5) - sqrt(30)\/(sqrt(6) - sqrt(54))) + -3 + sqrt(25)\/sqrt(5) + (sqrt(10)\/(sqrt(2)*-2))**2).\nAnswer: -34*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(5 + -1*sqrt(208) + (0 + sqrt(208))*1 + (sqrt(208) - (sqrt(208) + 0)) + 2 + -1 + sqrt(208) + 1) + 3))**2.\nAnswer: 24320*sqrt(13) + 106304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4387 (b) 3\/46 (c) 0.0497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1854 or -1.293?\nAnswer: -1.293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-190)*3\/(6\/(-5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 5*x + 4. Let h be (-201 + 204)\/(6\/14). Let n(q) = -4*q**2 + 11*q + 7. Calculate h*y(d) - 4*n(d).\nAnswer: 2*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216*y**3 - 218*y**2 - 1294*y + 12.\nAnswer: 2*(y - 3)*(y + 2)*(108*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9)*6\/4. Suppose -3*r + 4*k + 6 - 11 = 0, -2*r = 5*k - 12. Let i be (1\/(-1) - -1)\/r. Solve i = z*j - 0*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -79*h**3 + 55*h + 0*h**2 + 62 + 74*h**3 - 6*h**2. Let l(s) = -4*s**3 - 5*s**2 + 56*s + 63. Let r(w) = 6*l(w) - 5*m(w). Differentiate r(b) wrt b.\nAnswer: 3*b**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5912 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, 2, 3, 0 in decreasing order.\nAnswer: 5, 3, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2.63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (5 - (-3 - -8)). Suppose i - 4 + 0 = w. Let x be 2266\/462 + i\/42. Solve 31 = 4*a - 0*a - x*r, -a - 4*r - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 51. Let p be 1\/1 - (1 + 0). Let t be (-406)\/(-105) + (-4)\/(-30). Sort a, p, t in descending order.\nAnswer: t, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15 - 3\/2*j**3 - 51\/2*j - 12*j**2.\nAnswer: -3*(j + 1)*(j + 2)*(j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/(-84)*4\/6*99\/(-462).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22693.2 - 25081. Round w to the nearest 10.\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 - 401. Calculate the smallest common multiple of (i\/(-90) - 2\/9)*8 and 284.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/c**(-4))\/c)\/c)*c\/c**(-4))**(-11)\/((((c*c**(-5))\/c*c)\/(c**(1\/10)*c))\/(c\/((c\/c**(1\/5))\/c*c)*c**(1\/8)\/c)) assuming c is positive.\nAnswer: c**(-1143\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/58 (b) -0.4 (c) 16\/7 (d) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8326 - -0.0474. Let w = -2.78 + p. Which is the closest to 2\/5? (a) 0 (b) 24 (c) w (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/(8\/(192\/18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24267863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)\/(u*u**(-1\/6)*u*u)*u**(-1)\/(u*u**(-1))*u**(5\/8)*(u**0\/u)\/(u*u**(-3)*u) assuming u is positive.\nAnswer: u**(-101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40622348 and 184?\nAnswer: 1868628008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - u**3\/6 - 4*u**2 - 10*u. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, -85 in ascending order.\nAnswer: -85, -5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.986949 decades to millennia.\nAnswer: 0.00986949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 15. Suppose 3*n - 3*q - 48 = 0, l*n - 20 = q + 18. Let s(o) = 4*o - n*o + 10*o. Give s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(1 + -1 + -1). Let q(m) = m**3 - 5*m**2 - 5*m - 6. Let j be q(a). Suppose 0*w = 3*w - j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let q be 173 - f - 2\/(-1). Let o = -119 + q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) + -1*sqrt(78) + sqrt(78)) - sqrt(78)*-2*4)\/(2*-1*sqrt(294)).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 656 from 16.63.\nAnswer: -639.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by 8.\nAnswer: -101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2095914 and 67\/12890.\nAnswer: 10479570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -28*n + 875. Let u be b(31). Calculate the greatest common factor of 301 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/452233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:36 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Let a(y) = 17*y + y**2 - 14*y + 2*y + 8*y. What is g(a(c))?\nAnswer: 2*c**4 + 52*c**3 + 338*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 1 = 4*f + 3, -34*y - 45*y + 17*f = 19*f + 387 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - 640 + 2*a**2 + 3*a**2 - 3*a**2 + 252.\nAnswer: 2*a**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 62*s + 518. Let x be o(-69). Solve -2*v = 2*h - h + 1, -4*h = -5*v - x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - a**3 - 3*a**3 + 0*a**3 + a. Let c be 10 + 1 + (0 - -1). Let p be (4\/6)\/((-8)\/c). Give q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 4)*(-t - 3 + 3) + (0*t - 3*t + 2*t)*(3 + 1 - 3))*(6 - 8*t + t**3 - 6).\nAnswer: 3*t**4 - 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3*u**4 - 5*u**4 + 3*u**4)*(5*u + u - 3*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64, -41, 20, 137, 328, 611, 1004?\n\"Answer: 3*a**3 + a**2 - a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grvgqeivi. What is prob of picking 1 g, 1 v, 1 r, and 1 i?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:32 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*8\/(24\/(-225)). Suppose -5*h + h + 82 = 3*r, -h + 27 = r. Let b = r + -1. Calculate the greatest common factor of b and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 - 112 = -59*d - 183 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = s - 6, -5*h = -3*s - 23 - 27. Let k be (3\/s)\/(-2 + 3). Let q be (-4344)\/(-905)*(-2)\/16. Which is the nearest to -0.1? (a) q (b) k (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14204 - 13999. What is the greatest common divisor of t and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1979, -6280, -17431, -38858, -73987, -126244?\nAnswer: -199055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 11574\/360 - -31?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/15 - 2\/3. Which is the nearest to j? (a) 2 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 - 204*i**3 = 0. What is i?\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 5\/4, -2, 5, -77, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Suppose -3*l + j*l + 45 = 2*x, 60 = 4*l + 5*x. Suppose -r + 173 = 2*r + 2*p, 5*p + 246 = 4*r. Calculate the remainder when r is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2846*q. Let s(x) = 1011*x - 3. Give s(n(z)).\nAnswer: -2877306*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2093.346 micrometers?\nAnswer: 2.093346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 - -254. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -29*t + 264. Suppose 10 = -3*k + 8*k. Suppose 3*u - 21 = -k*q, 2*u - 1 - 5 = 0. Solve d = -q + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -34. Let p = -11 + z. Suppose 0 = j + p. What is the smallest value in 1, j, -2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/213 in 5\/7, -0.19, 0.3, 1\/4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47\/4? (a) 2 (b) -4 (c) 0.07 (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407652649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + z**3 - 2*z**3 + (-1 - 1 + 1)*(-3*z - 151*z**3 - 34*z**3 - 28*z**3).\nAnswer: 212*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -291, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 34240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1658, -6808, -15366, -27332, -42706, -61488?\n\"Answer: -1704*z**2 - 38*z + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -30 - ((-33)\/55)\/((-2)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4883 + 4889. Suppose 5*d = d. Suppose d*a - a = -8. Calculate the remainder when a is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(((-14)\/140)\/(4\/(-1))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*6*(-16)\/(-48). Let f(s) = -s + 4*s - g*s. What is the units digit of f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k - 2 = 0, 3*k + 57 = -5*n. Let a be (8\/n)\/(4\/(-36)). Is ((-150)\/8)\/(a\/(-16)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 + -123032232?\nAnswer: -123031134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66.737 and 11995.\nAnswer: 12061.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9864576.\nAnswer: 2, 3, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1010\/707)\/((6\/(-21))\/(-2)). Solve 5*n + k = 3*u + 19, 4*n + 9 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25171860 by 16420.\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124399343?\nAnswer: 124399343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 204472?\nAnswer: -81788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -100*f - 599. Let a be y(-6). Sort -1, a, 24, 3.\nAnswer: -1, a, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 17 = o + 4*o, j - 2*o - 3 = 0. Let l(p) = -7 + 2*p + j. Let i(m) be the second derivative of m**3\/2 + 2*m. Calculate l(i(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21.8 * -0.04\nAnswer: 0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 5 + 2*k**2 - 3*k**2. Let o be d(-5). Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 40 = 4*l. Let w be 6\/21 + 4320\/21. Suppose k + w = 5*c - 48, 3*c - 3*k = 162. Calculate the highest common divisor of l and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, -9, 5 in ascending order.\nAnswer: -9, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175846233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1279803)\/(-60) - (-146)\/(-2920)?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 + 0*j + 4\/35*j**7 + 17\/60*j**5 + 0*j**6 + 0*j**4 + 0 - 13*j**2. What is the third derivative of i(g) wrt g?\nAnswer: 576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + 32 + 239 + 5325*q**4 - 5324*q**4 - q**2 as n*q**3 + y + m*q + d*q**2 + c*q**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -49*v**6\/40 + 3801*v**5\/20 - 270*v**4 + 154*v**3 - 5131*v**2. Factor r(o).\nAnswer: -3*(o - 77)*(7*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140759.\nAnswer: 140759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*y - 21 + 4 = 0, 5*c - 30 = 5*y. Let f = 0 + c. Suppose s = -2*s + 5*t + 35, 4*s + 3*t = 8. Solve 0*u + f*a - 14 = -2*u, -12 = -u - s*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/8 + 26\/30. Let m be (-4)\/18 - 1859\/(-63). Let q = 29 - m. Which is the closest to q? (a) s (b) -3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 865914 * 0.2.\nAnswer: 173182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 43.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -154.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 6*(0 + sqrt(2057))) + 5*-3*sqrt(2057)*-1 + 2)**2.\nAnswer: 29172*sqrt(17) + 5350933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8 - 173. Let n = p - -10. Let y = n + 48. Solve y*k = -b + 4*b + 6, b + 12 = -4*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938887459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.3 - -10.4. Which is bigger: u or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 1105.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 63 = 2*t, -11*t + 14 = 2*u - 8*t - 28 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1202 plus 3848325?\nAnswer: 3848324.8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 9 + 1. Let k = 21 - x. What is the remainder when 19 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -57, -150, -281, -450, -657?\n\"Answer: -19*h**2 + 2*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:58 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -345669\nAnswer: 1037007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 1. Let d be w(3). Let q(y) = 3*y**2 - 8*y - 3. Let h(c) = -4*c**2 + 7*c + 2. Let s(g) = 4*h(g) + 5*q(g). What is the tens digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(-8)\/12\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 475, 31, 3, 2, 5 in decreasing order.\nAnswer: 475, 31, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 1, b: 4, t: 3, p: 3, d: 3}. What is prob of picking 1 p and 1 d?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5 - 3. Let t be (0 + (-9)\/(-6))*n. Solve -4*q**t - q**4 + 3*q + q**3 - 2*q**4 + q**2 + 2*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38313\/127710)\/((-2)\/540).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22*90\/(-7128)*(-18)\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-279)\/(-12))\/(4\/32). Is 8\/20 + f\/10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 5031?\nAnswer: -5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-36 - (-36 - 22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*b = u - 25, 5*u + 3*b - 86 = 0. Let m = -1013 - -1108. What is the greatest common divisor of u and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -462 + 176. Let o = -402.488579 - -116.488706. Let y = q - o. Round y to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85496*u - 9 - 170612*u + 85365*u to h*u + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-215)\/16125)\/(2*2\/12)*-15. Let c(r) be the first derivative of 27\/20*r**4 - 7\/5*r**3 - q*r**2 + 5 + 0*r. Factor c(a).\nAnswer: 3*a*(a - 1)*(9*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 + 77 - 130)*(-3*x - 3 + 3 + (5 - 3 - 4)*(3*x - x + 0*x) + 3*x - x - 3*x).\nAnswer: -352*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 146645 (base 9) to base 14\nAnswer: 24c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12885 - -12889. What is the third biggest value in u, 0.066, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/72*24)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 + 20*r**2 + 5 + 2*r**3 - 2*r**3 - 7 + r - 5*r**4 + 0*r to the form b*r**3 + y*r**4 + q*r**2 + o*r + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2687 + -2?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 38*v - 6*v**2 - 13*v - 15 + 3*v**2 - 20*v + v**2. What is w(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -118, 2 in decreasing order.\nAnswer: 5, 2, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 527 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2293796 and 872?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -516043.6 + 13476402?\nAnswer: 12960358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((198\/21)\/(-2))\/((-34140)\/7966)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) -2\/3 (b) -1\/4 (c) 4 (d) -232.99 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 2, 1.5, -5, -0.2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1597, -3173, -4749?\nAnswer: -6325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -183565.28 * 19\nAnswer: -3487740.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 37. Let z(n) = -2*n + 18. Calculate 6*p(x) + 15*z(x).\nAnswer: 6*x + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 242. Let q = j + 96. Let o = q + 82. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210021 - 1200?\nAnswer: -10211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1002*s + 2409. What are the prime factors of k(-16)?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 1, -3, 0 in descending order.\nAnswer: 143, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0.06, 4\/33, -0.5 in increasing order.\nAnswer: -5, -0.5, 0.06, 4\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121120000122 (base 3) in base 9?\nAnswer: -546018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.7, 0.2, -1\/10, -0.208?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 - 9556*c**2\/5 - 95312*c\/5 + 228864\/5 = 0 for c.\nAnswer: -4768, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 - 3462 = 6*w. Is 186\/(-45)*w + 2\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/119)\/((-25)\/((-700)\/8))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/(o*o**(-1\/19)))**(-23) assuming o is positive.\nAnswer: o**(-3519\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 6*i**2 - 2*i - 9. Let p be l(-6). Let w(d) = -4*d + 3. Let s(o) = -o**2 - 5*o + 4. Determine p*s(g) - 4*w(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 3*k + f, -4*k = f - 20. Suppose 3*w = k*w - 24. Let j be 2\/w - (-22)\/12. Solve -j*q + 3 = -2*b - 3, b + 3 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m**2. Let h(k) = 4*k**2 - 7*k - 6. Let d(q) = 2*c(q) - h(q). Let f(y) = 2*y**3 - 2*y**2 + 8*y + 7. Determine 7*d(w) - 6*f(w).\nAnswer: 2*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {v: 1, w: 1, r: 9, y: 5, s: 2}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/7, -204 in increasing order.\nAnswer: -204, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:58 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 130*y + 421 = -54 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let u(m) be the third derivative of m**5\/30 + m**2 + 3396. Suppose 3*x - 9 - 9 = 0. Give x*w(l) - 7*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, g: 13, o: 5}. Give prob of sequence go.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 63. Suppose 11*z - 7*z = 224. Let l = -35 + z. What is the lowest common multiple of l and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2*m + m + 2*m) + 2*m + 2*m - 3*m - m + 2*m + m + 5772 + 9893*m - 5772.\nAnswer: 9897*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 0, 7*k = 5*b + 8*k - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17644 - -17643. Which is the closest to h? (a) -2\/11 (b) 0.1 (c) 4 (d) -249\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c + 4. Let d be i(-4). Let y = -32 - d. Let o = -26 + 38. What is the greatest common factor of y and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 6*q - 44. Differentiate -q*n**2 + 46*n**2 - 28 + 16 - 24 wrt n.\nAnswer: 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 48*g + 11. Let d(m) = -32*m - 7. Let r = -26 - -18. Let w(u) = r*d(u) - 5*t(u). What is the tens digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (13 - 25) - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -5\/12*t**4 - 17*t - 2 + 55\/2*t**2 - 25\/3*t**3. Suppose y(z) = 0. Calculate z.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f - 1. Determine x(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941984?\nAnswer: 2, 89, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 576287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h**2 - 2*h - 1. Let l(u) = -4*u**3 - 9*u**2 + 8*u + 5. Let s(x) = -x**2 - 1. Let y be s(1). Determine y*l(d) - 9*f(d).\nAnswer: -d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/40 - 17\/5. Sort 0, s, 0.3.\nAnswer: s, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48443 and 3281?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/x**(2\/5) assuming x is positive.\nAnswer: x**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-5 - (-5 - 3 - 0)). Does 29 divide (-114 + l)\/(2\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w - 21 = -66*w. Let n(s) = -s**3 + 11*s**2 - 30*s. Let v be n(5). Solve w*q - 2*q - 1 = v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 466 and 418683?\nAnswer: 418217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -5, 20, 386, -0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2. Let s(j) = 3 + 13*j - 3 - 60*j + 3. Calculate s(a(w)).\nAnswer: 188*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41806 + 41811 - 83617 - 132*c**3.\nAnswer: -132*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and 24\/31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + 210670926?\nAnswer: 210670927.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 249. Let k be t(-32). What is the closest to 2\/3 in k, 4, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622 = -431*w + 7656 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2\/11 (c) 0 (d) 155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54041369*v**4 - 14834*v**2 - 518*v wrt v?\nAnswer: 1296992856*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.530778cm?\nAnswer: 85307780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/9 of a hour?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637) + -4.\nAnswer: -6 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -6*x - 15. Suppose -86 = -x*c - 4*v, 5*c = -0*v + 4*v + 54. Find the second derivative of -185*s**3 - c*s**4 + 9*s + 185*s**3 wrt s.\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035641?\nAnswer: 1035641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202343659 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 89, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 476773647 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.509 - -5.909. Let q = 4.87 - -0.13. Put q, 0.2, 12, p in increasing order.\nAnswer: 0.2, p, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 396 = 5*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((77\/132)\/(-7))\/((-2)\/(-3))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by -4.\nAnswer: -239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 107842266?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -741657, -741634, -741611, -741588, -741565, -741542?\n\"Answer: 23*j - 741680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 8 - (24 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*a + 46601, -46651 = 1627*r - 1628*r - 5*a. Calculate the highest common divisor of r and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*j = 439*j - 216*j - 3*x + 15, -11*j = 5*x - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937241 is divided by 1270?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -211*c - 2312. Let i be n(-11). Solve 17*o - 19*o + 6 = 2*b, 5*b - o - i = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 100*u**2 - 1780*u + 7192 = 0.\nAnswer: 31\/5, 58\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 60*y + 66. Determine b(-59).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(380\/112))\/((-13598)\/(-2615)).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/((30\/(-1325))\/3). Suppose -3*b + 477 = -24. Suppose 5*j - b - g = 0. Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -8588, 4, 44 in ascending order.\nAnswer: -8588, -5, 4, 19, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(171) + 1) - ((sqrt(171) - sqrt(171)*2) + -3))*-2)**2 - ((sqrt(171) + 2 + 4)**2 - 5*3*sqrt(171)).\nAnswer: 849*sqrt(19) + 17089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481051 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 2)**2 - sqrt(468) - (sqrt(208)*-1)**2 - (-4 + sqrt(130)\/(sqrt(80)\/sqrt(8)))**2.\nAnswer: 26*sqrt(13) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3. Suppose -2*y - 25 = 5*h, 5*h - 4*y - 2 = 3. Let x be s(h). Suppose -35 + 3 = -4*a. Solve -2*f = a, 2*w = -x*w + 3*f + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 205 = 0. Let x = o + -101. What is the highest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 - -60417.306407\nAnswer: 60416.886407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*3*1 - 3*sqrt(95)*-3)\/(sqrt(245)*4 + (sqrt(110)\/sqrt(2))\/sqrt(11)).\nAnswer: 12*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94238 or 94241?\nAnswer: 94238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 97. Suppose s + 3 = z - t, 5*s + 69 = 4*z. What is the greatest common divisor of z and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17420672?\nAnswer: 2, 136099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 6 = -4*h. Solve -7 = h*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + 1 + sqrt(325) + 4 + (sqrt(325) - (2*sqrt(325) + sqrt(325))) + -2 + sqrt(325) + -1 + sqrt(325) + 1)**2.\nAnswer: 90*sqrt(13) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 205*g - 4878. Give q(-21).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1284 divided by -642.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 5344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141*a + 1961*a = 4680 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*g, 0 = -r + 2*g + 3*g - 24. Which is smaller: r or -36\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 1128*g**2 - 319221*g + 633938 = 0. Calculate g.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 15, 0 in ascending order.\nAnswer: -6, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 670417, 1340833, 2011249?\n\"Answer: 670416*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/2, -170\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17350\/75*(-30)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -29095100072.95?\nAnswer: 29095100072.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3110001 (base 4) to base 10\nAnswer: -13569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 33*u + 0 - 19*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 22. Find the third derivative of -q*a**2 - 3*a**3 - 2*a**3 + a**2 + 9*a**3 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*r**3 + 189*r**3 - 17*r**3 - 31*r**3 + 9*r**3.\nAnswer: 309*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -5*f + 160. Let g = f + -73. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/60 - d**4\/4 - 3*d**3\/2 - 2*d**2 + 8*d. Let u(s) be the first derivative of f(s). Solve u(w) = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1333928811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44955455*b*h**6 - b*h**2 + 18*b*h - 1939*b - 2*h**2 + 3*h - 1 wrt h.\nAnswer: 5394654600*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - u - 2*u = 9, -3*i - 5*u + 19 = 0. Which is the second smallest value? (a) i (b) -5 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220021203 (base 4) to base 13.\nAnswer: -59b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14655 is divided by 888?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-80)\/(-30)*(17145\/6 - -3)?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1078.6 and 20.6.\nAnswer: 1099.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683749 is divided by 364.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:10 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p**11)\/(((p**(2\/9)\/p)\/p)\/(p**(-8\/7)*p)) assuming p is positive.\nAnswer: p**(-653\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -19. Suppose 0 = 2*o - 2*u + 8, o + o - 5*u = x. Let g(j) = -j - 1. Give g(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from bababca.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:49 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2893 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 16 = 2*n, 0 = 5*n - 55 + 40 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126355, 505421, 1137197, 2021683, 3158879, 4548785, 6191401?\n\"Answer: 126355*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 + 0.32. Which is the closest to m? (a) -3 (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -4*w + 1558. Calculate the highest common factor of w and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10050 and 84270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/5100 and -13\/46240?\nAnswer: 693600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3 - 2 + l**2 + l + 9*l - 6*l. What is g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/17049521 or 1?\nAnswer: 2\/17049521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from yyyyjyyyyypvwywp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/6*z**3 - 103\/2*z**2 + 39\/10*z**5 + 118*z + 0 + 1\/6*z**4. What is the second derivative of p(a) wrt a?\nAnswer: 468*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -c, -3*c = -0*k - 2*k - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -82. Let d = i - -37. What is the hundreds digit of (-2 - 1)*12\/d + 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -96*y + 1236. Calculate v(30).\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -145, -331, -593?\n\"Answer: -38*z**2 + 4*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 8. Let y(t) = -t**2 + 3*t + 9. Let d(u) = -2*u - 4. Let r be d(0). Let m(i) = r*y(i) + 5*c(i). Factor m(v).\nAnswer: 4*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.068 + 0.0637. Round j to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -0.3 (c) 2.0833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7224157 (base 8) to base 9.\nAnswer: 3532226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9152)\/86944 - (42\/(-38) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.0836822 and -0.5.\nAnswer: -2.0418411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/12*(-34)\/119 + 964\/14 and 7?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*((2*(0 + sqrt(612) + sqrt(612))*5 + (sqrt(612) - (sqrt(612) - -1*sqrt(612)))*6 + 5)*5)**2.\nAnswer: 126000*sqrt(17) + 17996550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*b = 2*b + 18, 24 = 4*a + 4*b. Suppose -f - 27 = -a*v + 2*f, 5*f + 13 = -4*v. Solve v*d - 12 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/12)\/((-147)\/3024*6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.086 - 118.98607. Let v = -2.3 - -1.4. Let g = v - z. What is g rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = -w + 2, -8 = -4*w - 4*t. Sort 7, w, 37, 5 in increasing order.\nAnswer: w, 5, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 + -4.2. What is the nearest to -3 in -1, k, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 56. Let h be (-2 + -1 - -5)\/((-12)\/c). Put h, 26, 3 in decreasing order.\nAnswer: 26, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = g. Suppose 13 = 4*h - g. Sort h, 3, 5 in decreasing order.\nAnswer: 5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1) + -5 + 6. Let u = 4 + p. Suppose -u*c + 11*c - 10 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + (sqrt(117)*1)\/sqrt(9))) + 3 + 2 + ((sqrt(832) - (-2*sqrt(832) + sqrt(832))) + 0 + -1)**2.\nAnswer: -33*sqrt(13) + 3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*m - 543*m - 745 + 31816 = -10659 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Suppose 5*d + b*r - r = 109, d = 2*r + 14. Solve 0 - d = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225656077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201.8 + 202.3. What is the closest to -31 in -5, h, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56260)\/30450 - 3\/(-63).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-16)\/(3 + -2). Let p = -16 - g. Let y = -3 + 51. Calculate the highest common divisor of p and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 711 and 2325?\nAnswer: 551025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uiuuuuuui.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, 6, 35, 86, 165, 278, 431, 630?\n\"Answer: f**3 + 2*f**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(36))\/(-3*sqrt(768)) + (6*(-1 + (sqrt(3) - sqrt(6)\/sqrt(2))) - sqrt(6)\/(sqrt(288)*-2))**2.\nAnswer: -11*sqrt(3)\/12 + 6913\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 8*f + 15. Let l be h(-8). Suppose 17*i - 784 = l*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55339, 110316, 165293, 220270?\n\"Answer: 54977*l + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18596.3553 milliseconds to days.\nAnswer: 0.00021523559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5*c + 11. Let h(t) = -t**2 + 3*t + 5. Let m be h(0). Let d be (m\/(-2))\/((-10)\/20). Is i(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide (-172932)\/(-14) + 30\/(-105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.94 + -42. Let w = 0.06 + y. Which is the smallest value? (a) 2\/13 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k - 104 = -3*r - 33*k, 0 = -5*r + 3*k + 188. Let u be 126\/30 - r\/(-50). Let b be -2*(17\/(-2) + 1). Solve u*a + b = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:45 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123.6888 + -5.\nAnswer: -128.6888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1156 divide 4891912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*a - 22 = 0, -a - 3 = -3*s + 77. Calculate the remainder when s is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4414389452119.870093 + -4414387474318. Let g = m + -1977800. Let z = 1.87 - g. What is z rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862488377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89115815689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 - 2*o + 16. Let y be h(5). Let p = 1199\/7 + y. Find q such that 8\/7*q + 0 - 90\/7*q**4 - 102\/7*q**3 - p*q**2 = 0.\nAnswer: -2\/3, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:07 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.090889 and -0.0546518439.\nAnswer: -0.1455408439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104 times -1717?\nAnswer: 17.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllrrrlrlllrlrll. What is prob of picking 1 l and 2 r?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1025, -1144, -1329, -1586, -1921, -2340?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -9. Suppose -r = -b + 1. What is the third derivative of -3*z**2 + 0*z**b - 2*z**4 + 2*z**2 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - -266 - (0 - (-1 - -2)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/2 + 5*m - 6. Let r = 1 + 1. Let d(x) = -16*x. What is r*d(p) + 11*y(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -34*w - 11*w**3 + 0*w**2 - 7*w**3 - w**2 + 22*w - 1. What are the prime factors of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 2 + 43. Solve -7 = s + 2*r - 0, -3*s - 2*r - p = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + ((-407)\/(-33) + -12)*(-6)\/(-2). Solve 3*q + 2 = 2*k, -8 = 5*q - 3*k - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f - 48 + 201 + 237 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1173972242 - -0.04.\nAnswer: -1173972241.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 6*z - 246 = a*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**5\/30 + 7*b**4\/9 - b**3\/9 - 14*b**2\/3 - b - 21. Factor f(g).\nAnswer: 2*(g - 1)*(g + 1)*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 95701.\nAnswer: 42\/95701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = 5*m - 13, 29 = 2*m + 5*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-855852)\/(-292) - ((-6)\/5)\/((-4)\/10) and 4?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16595?\nAnswer: 3\/16595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163344 and 26892.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43660)\/(-354))\/(-74)*3*(-6)\/(-225)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1540 divided by 770\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - (-13 - (-41 + 22)) - 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -135*a - 146*a + 259*a + 1. Let u(v) = 3*v. Determine y(u(c)).\nAnswer: -66*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8.2, 58, 0, 0.04, -1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:38 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5558*h - 11108*h + 5558*h - 50*h**2 as u + y*h**2 + o*h and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -816, -1644, -2464, -3270, -4056, -4816, -5544, -6234?\n\"Answer: u**3 - 2*u**2 - 829*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, -0.4, -0.5 in ascending order.\nAnswer: -2, -0.5, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:37 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 13720.2?\nAnswer: 13719.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvyvvvavyvvshk. What is prob of picking 1 v, 1 s, and 1 h?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 56192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccahqhchhqhhqqa. What is prob of picking 3 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*f + 4*f. Suppose s - 17 = f. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d**2. Let v(f) = 2*f + 6. What is m(v(b))?\nAnswer: 44*b**2 + 264*b + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 11*z**2 + 33*z + 38. Give a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 531 + -533. Let p(w) = 2*w**3 + 2*w**2 - 4*w - 5. Let j be p(a). Let f(i) = i**2 + 4*i - 2. What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.48 and -4.\nAnswer: -5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(42\/189).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q - 219*q + 52*q + 62*q + 55*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*154.\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22706143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(2\/33) - -3. Which is the nearest to -27? (a) 1\/4 (b) 1 (c) x (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*(sqrt(275) + -1) + -5 - 2*3*(0 + sqrt(275))) + -4 + 0)**2.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1168760710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.61 + -0.39. Let v = 38 + q. Which is the third smallest value? (a) 0.5 (b) 1\/5 (c) 2\/9 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99, -437, -991, -1761, -2747, -3949, -5367?\n\"Answer: -108*w**2 - 14*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w + 12. Suppose -4*u = -12, 4*u - 5*u + 19 = -2*o. What are the prime factors of m(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -83*l**2 + 32*l + 6. Let d(c) = 84*c**2 - 38*c - 7. Give 8*d(w) + 9*x(w).\nAnswer: -75*w**2 - 16*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8209866*s**4 - 19199158*s**2?\nAnswer: -197036784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from lzzl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f + 20. Let p(u) = u - 1. Suppose -3*g + 4*g = 10. Let x = -9 + g. Let j(n) = x*d(n) + 15*p(n). Differentiate j(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 8169.\nAnswer: 8171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17001975*u**2. Let f(z) = -6*z. Calculate f(l(k)).\nAnswer: -102011850*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(2\/3)\/x)*x*(x\/(x**(-5)*x)*x)\/x)**(-28)*x**(1\/4)\/(x**(-1\/4)\/x*x)*(x**(-2\/3)*x)**12 assuming x is positive.\nAnswer: x**(-1373\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.45. Which is the third smallest value? (a) s (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/(sqrt(20)\/(sqrt(10)*-1)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 + 8. Let m be p(-5). Suppose -m*a + 16*a = 2288. What are the prime factors of a?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 3*y**2 + y + 3. Let n be q(0). Suppose -5*u = -n*a - 851 - 23, 3*u = -5*a + 538. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 + 192 = 0. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2 + 30626*w - 3072824 = 0. Calculate w.\nAnswer: 101, 15212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjkcckjjcjj. What is prob of picking 2 k and 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:03 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 7*l**4\/2 + 3*l**2\/2 - 8*l + 1. Let p(z) = z - z**3 - 3 + 5*z**3 + z**3. Let m be 1\/(-4) + 39\/12. Determine m*f(k) - 8*p(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 475491102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -17\nAnswer: 49\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2127537 and 11819650.\nAnswer: 106376850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = 3. Solve 11 + 2 = -3*k + m, 2*k - 4*m + r = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394665?\nAnswer: 3, 5, 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-216)\/15*(-2 + -3). Suppose t + 11*t = h. Suppose -t*s = -13*s. Solve -2*x + 2 = 0, 0 = -2*a - 3*x - s*x + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - 1.6. What is the second smallest value in 2, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 + 6382 = -j. What is j rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 15 - (-8 - -1)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-60)*-5*-3*-10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:38 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 51, 80, 47, -90?\n\"Answer: -7*n**3 + 32*n**2 + 2*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43129113 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:34 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: a81556 (base 11) to base 3\nAnswer: 10020212121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*t - 29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8576328137.\nAnswer: 13, 29, 22748881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 8, 11 = 4*c - 4*y - 13. Suppose -o = -5*r + 15, -c*r - 3*o = -30 + 7. Find g, given that 0*g - 4*g + 4*g**2 + 9*g - r - 5*g**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 19*z**2 + 409*z + 1054. Calculate y(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + 0*a + 2*a)*(4 - 4 - 1) + 11 - 7*a - 11)*(-1 + a + 1) + a**2 - 2*a - 3*a - 15*a.\nAnswer: -5*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g - 16. Let p be s(5). Calculate the greatest common divisor of p and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126922374 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, -3*f + 4 - 3 = -u. Let l = -139\/6 - -20971\/906. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqffff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25013393 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i = 538 + 380 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.15 * -25\nAnswer: -103.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -375, 0.2, -5, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/1015 and 109\/6090?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9414.81913 plus -0.0081?\nAnswer: 9414.81103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -91. Which is the nearest to 2? (a) s (b) 0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 28. Let q = 5 - i. Let t be q\/8 - 260\/(-16). Calculate the highest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - c = -2, -7*g + 5*g = -5*c + 10. Suppose -3*m + 134 + 127 = g. Suppose -m = -6*s + 123. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10170*v**2 - 29750*v**2 - 17238*v**2 - 9173*v**2.\nAnswer: -66331*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 213158191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6 - (295\/(-70) + 5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 212*n + 625. What is k(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 41. Suppose -y = -x*z - 48, -3*z - 48 + 216 = 5*y. What is the remainder when y is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2\/2 - 8. Let f(y) = -11*y**2. Give f(d(l)).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-6 + 2157*m - 2168*m + 68 + 80).\nAnswer: 11*m - 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -28, 5\/8 in ascending order.\nAnswer: -28, -0.2, 5\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126995 + -232067. Let b be 2 + (492621\/y - 0). Let m = b + 2\/2189. Calculate the common denominator of m and 7\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + o = -1, -2*n - 21*o + 26*o + 5 = 0. Which is the closest to n? (a) -4 (b) 2\/21 (c) -77 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (0\/(-3) + -3). Let a be 9\/3 + 3 - u. Let y = a - 3. What is the closest to 1 in 4\/7, -4, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -197 or -198?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u**3 - 4*u**2 - 11*u + 16. Let h(v) = 50*v**3 - 9*v**2 - 25*v + 34. Give 4*h(f) - 9*z(f).\nAnswer: -16*f**3 - f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c)**45\/(((c*c**(2\/41)*c*c*c)\/c)\/(c\/c**(-7\/5))) assuming c is positive.\nAnswer: c**(-37033\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koko when four letters picked without replacement from {k: 3, o: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3 = -5*l, 3*g - 4*l - 1118 = -1121 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 15*x**2 - 5. What is m(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*q**2 + 622*q**2 + 65*q - 171*q**2 - 64*q to w + o*q**2 + k*q and give o.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 9. Let s be (-1144)\/(-121) + (-6)\/(-11). Suppose -2*o = -4*c + 16, s + 2 = -5*o + 3*c. What is j(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-44)*3\/(10*-3)*1612\/186\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - k = 9, 5*k - 3*k + 8 = -x. Let y(a) = a**2 - a + 2. Calculate y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4210043 (base 5) to base 12\nAnswer: 341b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -260 + 395. Calculate the highest common factor of u and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + 204\/21. What is the greatest common divisor of 90 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(48)\/sqrt(6)*1) - (-3 + sqrt(245)*-3).\nAnswer: 3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 566*x**3 + 4*x - 566*x**3 + 1133*x**3 + 4. What is l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592563?\nAnswer: 3, 197521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/9? (a) 6 (b) -1\/6 (c) 0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-4) + 0)*1. Suppose -5 + 13 = b*l. Let y = 22116\/11 + -2010. Is y > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + -2)) + -6 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 8. Let t = 16 - 6. Let f be w(t). Solve -2*n - f*n + 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**2 - 2*y**2)*(-3 + y**2 + 3) + 5*y**5 - y**5 + 0*y**5 - 8*y**5 + 38*y**5 - 7*y**5.\nAnswer: 29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**2 + w + 1. Calculate q(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*t + 4683 - 1133. Calculate the remainder when 193 is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - o + 0*o - 2 = 0, -5*f + 8 = -4*o. Suppose 0 = -5*b + 2*k - 5, 2*k - 11 = b - 2. Differentiate f*d - 5 + 3*d + b wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*z + 79*z - 43*z + 73*z.\nAnswer: 226*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009479999 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -51*(-9448)\/12 + (-27)\/9 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175.655 - 0.345. Let f = -148.7 - z. What is f rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-84)\/(-7))\/((-3)\/3 - -2). What is the second derivative of -424*h**3 - h**4 + v - 2*h + 395*h**3 + 3 wrt h?\nAnswer: -12*h**2 - 174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.801 rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((16\/(-18))\/(-8)). Let j(r) = -2*r**3 - 21*r**2 - 31*r - 3. What is the remainder when 98 is divided by j(h)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 4*y**3 + y**3)*(-1 - 2*y + 1) + (-136 + 6*y**2 + 167 - 5*y**2)*(3 - 3 + 2*y**2).\nAnswer: 6*y**4 + 62*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 3, x: 2, a: 6}. Give prob of sequence xe.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -29. Let v be (-12)\/1*(x\/(-6) + 2). Let f(y) = -4*y**2 - v*y**2 + 4*y**2 + 7*y**2. Let l(g) = -17*g**2. Determine f(l(b)).\nAnswer: 867*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006890402 rounded to 6 decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-139)\/((-70195)\/(-606)))\/((-4)\/(-110))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1444\/(-3610))\/((-12)\/160)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 32. Let p(g) = 5*g + 65. Let f(t) = -3*p(t) - 5*w(t). Let x be f(-5). Let a(v) = -2*v + 35. What is a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840596711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - q - 1, -2*u - 3*q - 8 + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*1*(-7 - -8). Solve -g = -4*z + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*y = 29, 5*v - 4*v - 17 = -3*y. Suppose v*s + 4*g = 6*s - 92, 0 = 5*s + 5*g - 65. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22736521 divided by -54?\nAnswer: -22736521\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z - 9*z**4 + 8*z**4 + 16*z + 22 - 5*z**3 in the form j*z**2 + f*z + k*z**4 + x*z**3 + i and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1758805\/6 or -293133?\nAnswer: -293133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -522? (a) 276 (b) -4\/5 (c) 66 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408922461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - v + 338 + 113, -2*v = 4*p - 1812. Let g = p + -2261\/5. Suppose 0 + 11\/5*s**2 + 2\/5*s + g*s**3 = 0. What is s?\nAnswer: -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 * -0.4299\nAnswer: 65.3448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 6*y + 5. Let l be i(-4). Let f be l\/(-1) + 48\/(-18). Let d = 3207 - 3207. Which is the nearest to f? (a) d (b) 5\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -217, -339, -471?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - 73.58765395.\nAnswer: -86.58765395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k. Let h = -28101 - -28131. What is the remainder when l(2) is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 3 = 0. Suppose -h + 4*h = y*i, 0 = -3*i + 2*h + 3. Suppose 0 = -i*s + 28 + 71. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 404 = -422. Suppose -2726 - 1465 = -z*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1741965.\nAnswer: 1\/348393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37538330.\nAnswer: 2, 5, 3753833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 9}. Give prob of sequence mrm.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*q + 5 = 29, 5*q = -4*h + 117. Is (22\/h)\/((-6)\/(-27801)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*-9*21\/(-18). Suppose 4*a + 10 = 2*a. Is a <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*30\/(-20)*(-8)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95281 - 1550?\nAnswer: -96821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 + 15*l + 14. Let m be h(7). Suppose 8*u - m = 19. Solve 0*x + x = -u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6707, 6689, 6673, 6659?\nAnswer: 6647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2\/17 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2898 and 18322766?\nAnswer: 164904894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -71. Let w be 1\/(-4) + 5\/4. Let k = 626\/65 + -120\/13. Which is the biggest value? (a) 0 (b) w (c) k (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, 6\/7, 42\/5141, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0519 and 0.266405?\nAnswer: 0.0138264195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(275)\/(-2*sqrt(5) - sqrt(5)) - sqrt(55))\/(sqrt(11) + sqrt(88)\/(-1*sqrt(8) - sqrt(8))))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1057451, -0.2, -0.5?\nAnswer: 1057451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, -88, 0, -3, -659, -366?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/60 - z**4\/3 + 7*z**3\/3 - 6*z**2. Let r be i(-10). Let f be 5\/1 + r\/3. Solve 0 = -h - f*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -106*g + 106*g - 2*g**2. Let w(u) = -13*u. Give r(w(s)).\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -401?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -6*sqrt(2299)*-1 + sqrt(2299)*1*-3 + (-2*sqrt(2299)*-2)**2.\nAnswer: 33*sqrt(19) + 36775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9 - (-8 - -6). Suppose 0 + 2\/3*j**2 - a*j**3 + 0*j = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 11. Suppose -6*b + 3*b = -30. Calculate the remainder when t is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.5 - 15134094.9?\nAnswer: -15134057.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-168)\/98 + 18658\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:18 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - (39 + (-24)\/(-168)*7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000695771 rounded to 7 dps?\nAnswer: 0.0000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090.454 minus 0.0314?\nAnswer: -1090.4854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -3 - -4) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 286 - 279 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 2*x**2 - 2*x + 2. Let t = -2 + -1. Calculate the remainder when y(t) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2710)\/1897*3\/(6\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:59 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 14. Let h be t(-9). Suppose 0 = -3*d - 3*s + 1485, h*d - 2016 = 3*s + 2*s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2317 or -474776\/205?\nAnswer: -2317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**2\/2 + 5*j + 3. Let h = 1117 + -1113. Give v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a factor of 799244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2301606 divided by 3.\nAnswer: 767202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w + 16 = 4*s, 3*w = 5*s - 21. Suppose -5*y + 25 = s*n, 4*y - 3*y + 18 = 4*n. Solve 0 = 2*p - z - 4*z, 0 = -n*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/2))**(-21\/5)\/(j**(-2\/3)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:50 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 6, 1, -80 in decreasing order.\nAnswer: 6, 1, -4, -8, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1809539 and -11345.\nAnswer: 1798194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2628847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 462803798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 3, o: 3}. What is prob of picking 1 o and 1 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**3 - 1\/8*j**4 + 0*j + 33*j**2 + 0. Let t(x) = 15*x. Give g(t(w)).\nAnswer: -45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2605 and 567890?\nAnswer: 567890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 295470.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30255 and 18035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m - 12. Let j be r(-1). Suppose z = 5*i + 90 + 83, z - 181 = -j*i. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*r - 8, -7*r + 9*r - 22 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250176181 to the nearest integer?\nAnswer: 15817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 9*i**2 - 3*i + 10. Is 15 a factor of l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17353776?\nAnswer: 2, 3, 11, 23, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.55? (a) -0.2 (b) -300 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -298*c**3\/3 + 200. Let x(y) = 2*y. What is t(x(u))?\nAnswer: -1192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/4*-5*-49*(-30)\/2625?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2920)\/(-14112)*7*2\/(-10)*1 and -63\/32.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 14\/5, -1\/4 in descending order.\nAnswer: 5, 14\/5, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1172931 + -1.\nAnswer: -1172932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r - 4*a - 0*a, 3*r - 22 = 5*a. Suppose -30 = -2*x - r*i, 3*i - 7 - 8 = 0. Let k be (0 + 1 - -10) + 1. Solve -b + x*b = -k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102033103 (base 4) to base 2.\nAnswer: -10010001111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 10, p: 1, s: 2}. What is prob of picking 2 b and 1 g?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -132, 11\/21?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/565 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8622962849 rounded to three dps?\nAnswer: -0.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/10 - v**4\/12 + 3*v - 1. Let z(w) be the first derivative of n(w). Find the third derivative of z(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 110.6. Which is the biggest value? (a) 159 (b) i (c) 1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 54*s**2 + 31*s + 31. Let g(u) = 26*u**2 + 17*u + 17. Let k(x) = 7*g(x) - 4*v(x). Let y(f) = 697*f**2 + 102*f + 102. Give -102*k(m) - 5*y(m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 16*o**2 + 15*o. Let w be n(15). Which is the closest to w? (a) -5 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 - 4. Suppose 3*v = -l - 33, 3*l + 12 = -2*v - l. Let n be 3\/(-9) - 76\/v. Suppose -n - 2 = 2*b. Calculate t(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 11. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*m**3 - 311 - 527 + 2140 + 8*m**3 - 354)*(3 + 2 - 4).\nAnswer: -12*m**3 + 948","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1773896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 8. What is the remainder when (-7 - (-43)\/7)*-77 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24138\/7 - -3448. What is the closest to -1\/3 in -8, 0, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 10 = 7*s. Let c = s + 6. Differentiate 3 - c + 7*l - 2*l with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 46*p**3 - 5*p**2 + 2*p + 1. Calculate the remainder when a(2) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/1080 + f**5\/45 + 47*f**4\/216 + 10*f**3\/9 + 2*f**2 + 173*f - 6. Let m(w) = 0. What is w?\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-14)\/(-3) - (-1)\/3). Let v(r) = -25*r**2 - 9*r + 17. Let z(p) = 6*p**2 + 2*p - 4. What is n*v(k) - 9*z(k)?\nAnswer: -4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c. Let b be k(2). Let y be 4*3*(-2)\/b. Factor -3*n**y + 5*n**3 + 0*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2\/2 - s + 6. Let d be q(2). Solve 3*l - 2 = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*k + 57, -4*n + 4*k + 25 + 59 = 0. Calculate the highest common divisor of n and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, 1, -9, 2\/7, -1.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 0 - (-17 - (8 - 35))) + -6 - -15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1948847281 + 1948847223.99999915. Let d = i - -57. Round d to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*k*r**2 + 2*f*k*r + 2*f*k - 11*k*r**2 - 13*k with respect to r.\nAnswer: -8*f*k*r + 2*f*k - 22*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.4 + -49. Sort 1, -7, q.\nAnswer: -7, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 14. Let h be (1 + 0)\/(3\/k). Let a be (-1)\/(1 - (-44)\/(-40)). Solve 1 = -2*m + m + h*g, -5*m - 5*g + a = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by 6.\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**4 + u**3 + u**2 + u. Let d(n) = 4*n**4 + 6*n**3 + 6*n**2 + 4*n. Let b(k) = d(k) - 6*f(k). Find the second derivative of b(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86107 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*i = -298*i + 142*i - 240. Calculate the lowest common multiple of i and 1547.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 take away 308796.45?\nAnswer: -309209.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -b. Find the second derivative of -15*y**3 + 15*y**3 - 2*y - y**b wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387058 and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 7*x**2 - 25*x + 12. Let q be m(-11). Is 2 - q*1\/(8\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -117. Let z = 47.99999961 + j. Round z to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/9)*c\/c**(-14) assuming c is positive.\nAnswer: c**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + -12 - ((-86)\/7)\/((-14688)\/(-12096)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let w be (12\/(-8))\/(2\/(-8)). Let z(y) = y**2 + 6*y. Let d(c) = w*u(c) + z(c). Let f(x) = -15*x. Determine d(f(g)).\nAnswer: 225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -1*sqrt(125)*-2 + 2.\nAnswer: 2 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2. Let u(p) = -p + 9. Calculate d(u(h)).\nAnswer: -6*h**2 + 108*h - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {s: 1, z: 5, a: 3, h: 4, n: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Suppose k - 1 - 7 = g. Suppose -44 = 4*c - k*c. Calculate the remainder when 53 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.5, -3\/5, 0.033434 in ascending order.\nAnswer: -3\/5, 0.033434, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose 4*b - l*v - 2 = 6, 5*v = 5. Solve -5*h - 3*z = -3*h + 4, 6 = -b*h + z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 675 and 7102.\nAnswer: 4793850","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 1)*(-1)\/(-2). Suppose -4*i + 518 + 314 = 0. Let p be c\/(-6) + i\/24. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9814, 15, 8 in decreasing order.\nAnswer: 9814, 15, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 9 = 5*c, -4750*c + 4745*c - 4 = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/((-7)\/20))\/(5\/(-40)). Suppose 6*m - 2*m - j = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**3\/3 - s**2\/2 - 701. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a + 3*a + 6*a + a**2 + 11 + 13*a. Let t be y(-15). Let g = 1 - t. Calculate the smallest common multiple of g and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/28 + (-3)\/12. Let s = 4\/31 - -15\/124. Let k = -2\/9 + 13\/18. Which is the closest to 2? (a) u (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*l - 7. Differentiate 0 - j**l - 3 - j**2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 0*k**3 - 2*k**3 + (0 - 3 + 2)*(-k**3 - 2*k**3 + 0*k**3).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10589\/176 + -646\/11. What is the common denominator of (1\/(-4 + 8))\/((-2)\/31) and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-4\/9)*i))\/(i*i**(-13)*i)*i\/(i\/(i\/(i*i**16)))*i**(5\/6)*i assuming i is positive.\nAnswer: i**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18971*i**2 + 100?\nAnswer: 37942*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxecccq. Give prob of picking 1 c and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 22*b + 60. Suppose 0*w - 3*w + 5*v = -531, -3*v - 901 = -5*w. What is the smallest common multiple of w and k(-13)?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(-1*(sqrt(121) - sqrt(121)*-2))\/sqrt(11))**2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 w, and 1 g when four letters picked without replacement from {w: 2, f: 1, s: 1, b: 2, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 6275616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -72, 0.077, -0.1, 4, 0.1?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 - 5902230*o**2\/7 + 3372708*o - 23608968\/7.\nAnswer: -3*(o - 2)**2*(o + 1967414)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 90 = 0. Solve 4*b - y + 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209\/4 - -53. Let l = -9 - -8.6. Which is the third biggest value? (a) m (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380406476.\nAnswer: 2, 3, 3623, 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:55 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 628*z + 45838. What is j(-73)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -q + 5*q + 5746, -4*r = -4*q + 4568. Let t = 2507 + r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -31*y + 1. Let s(k) be the first derivative of 27 - 3 - k**2 - 3 - 1. Determine j(s(t)).\nAnswer: 62*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/556097 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2205*f**5 + 78*f**4 - 605538*f**2 + 2*f wrt f.\nAnswer: 132300*f**2 + 1872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (0 + 3)) + (25 - 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 + 3*y**5 - 3*y**5 + (-y + y - 2*y**4)*(12*y + 2*y - 30*y).\nAnswer: 26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23982 times -0.202?\nAnswer: -4844.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 - d**3 + 3*d**2)*(2*d - 3*d + 2*d)*(6 - 1 - 3)*(11 - 9 + 14) in the form k*d**2 + r*d**4 + p*d**3 + y*d + q and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b - 33. Let h = 3647 + -3645. Calculate k(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + (0 + 1221)*((-1164)\/132)\/(-97)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 10, -5*f + 418 = -3*j. Let q = 196 + j. Let y = -94 + 106. What is the highest common divisor of y and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 5. Let k(i) be the second derivative of -i**3\/3 - 3*i**2 - 88*i. Calculate 4*k(g) + 5*x(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/16884 and 5\/37212?\nAnswer: 7479612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:21 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22745 - 22743. Solve 5*b + 2*l + 201 = 196, 2*l = -v*b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950798065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -22. Suppose 5*i = 2*w + w + 7, 0 = -2*i - 4*w + r. Suppose -i*g - 52 = -290. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-775)*100\/(-110).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 104.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12166407931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/(-9) - 128\/(-576). Suppose b = -4*b - 45. What is the units digit of 1\/t + (-579)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9*b - 4*b + 3 = 0, n - 2*b = 0. What is the least common multiple of 4 and (-9)\/(3\/n - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3001, -2995, -2977, -2941, -2881?\n\"Answer: n**3 - n - 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1638*o**2 + 11*o - 123. Let i(a) = -1092*a**2 + 7*a - 79. Calculate -14*i(z) + 9*y(z).\nAnswer: 546*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 20, 2*y + 5*n + 241 = 257 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -111*j - 3. Let n(a) = -6152774 + a + 6152774. What is p(n(k))?\nAnswer: -111*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/3 - 45*p**2 - 1625*p - 21125\/3 = 0. What is p?\nAnswer: -65, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klgl when four letters picked without replacement from hgklkkklkkkkklklg?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 3*c - 1. Let u(b) = -5*b**2 + 14*b + 221. Let a(f) = 4*n(f) + u(f). List the prime factors of a(0).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924258049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from hpshhjhfhhhpjphhf.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 2*g**3 + g + 5*g + 0*g**3 + 2 in the form u*g**2 + d + f*g**3 + x*g and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7884?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -65447 (base 10) to base 3\nAnswer: -10022202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 12. Let s be (3 - -2)*12\/(-10). Let r be d(s). Factor -z**3 + r*z**2 + z + 1\/2 - 1\/2*z**4.\nAnswer: -(z - 1)*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 11\/8 (c) -1\/10782 (d) 2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 3*k + 25*k**2 - 51*k**2 - 24*k**2.\nAnswer: -50*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzczzczzzzzzzzzc. Give prob of sequence czc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Let p = -5 - i. Which is the closest to 2\/3? (a) -3 (b) -1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2398, -4818, -7228, -9622, -11994, -14338, -16648?\n\"Answer: v**3 - v**2 - 2424*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4280084839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-30) - 4\/6. Let p = -22 + 18. Which is the nearest to -1? (a) p (b) i (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*u**2 - 10*u**3 + 10*u**3 - 13 - 6*u + 10 + 9*u**4 to the form a*u**4 + m*u + z*u**2 + r + v*u**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 499 and 1054387?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159073241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/120)\/(1\/14). Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(2)*-2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 117 + 3 = 0. Calculate the greatest common divisor of 45 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**4 - 5*v**2 + 44. Let p(k) = -5*k**4 + 8*k**2 - 66. Let h(g) = 5*p(g) + 8*u(g). What is the derivative of h(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 - 240. Find the second derivative of f**3 - 18*f**4 - 54*f + 17*f**4 + d*f**3 - 15*f wrt f.\nAnswer: -12*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667063279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 3*t**3 - 11 + 25 as u*t**2 + x + i*t**3 + k*t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.047 (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/7 + 115*i**2\/7 + 472*i\/7 + 68 = 0.\nAnswer: -2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1))\/(3\/(-18)). Let n = 55 - 58. Sort n, -0.3, s in descending order.\nAnswer: s, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(4 - 50\/20). Let m(k) be the second derivative of 7*k**4 + 7*k + 39\/20*k**5 + 3*k**2 + 0 + 17\/2*k**z. Let m(p) = 0. What is p?\nAnswer: -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 17*c + 26. Let f be j(18). Let i be ((-4)\/3)\/(2\/(-3)). Suppose 192 = i*o + o. What is the highest common factor of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31801\/6 + 5322. Calculate the common denominator of -67\/38 and d.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395129 + 0.6891\nAnswer: -395128.3109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h**2 + 2)*(-5*h**2 + 4*h**2 + 2*h**2) - 819*h**4 + 64*h**4 - 335*h**4 - 2*h.\nAnswer: -1092*h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16196\/11 + -1477. Suppose 5*g + 3*m + 21 = 0, 2*m = g - 3*m - 7. What is the common denominator of z and -3 + (g - (-147)\/15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llpp when four letters picked without replacement from {p: 9, l: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*m + 0*m + 2112 = 0, -4*m - 5280 = -5*q. Suppose 409*t - 412*t = -q. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*k - 11, 5*o = 9*o + 2*k + 6. Sort 8, -3, o, 2.\nAnswer: -3, o, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -246 and 0.14.\nAnswer: -245.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*k + 4, 2*k + 0*k + o - 7 = 0. Suppose k*m - 6 = 2. Suppose -265 = -35*p - 18*p. Solve j = -6*r + r + 1, -4*j + m = -p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -0*a + 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/27*q**4 + 0 + 10\/27*q**3 - 1\/540*q**5 + 186*q**2 + 0*q. Find j such that w(j) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/111, -5, 28, 3\/8?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-15)\/100. Factor -y*t**4 + 0*t**2 - 1\/2*t + 1\/2*t**3 + 1\/4.\nAnswer: -(t - 1)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33570.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + 1*sqrt(17) - ((sqrt(170) - 2*sqrt(170))\/sqrt(10))**2))*-3.\nAnswer: -3*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 10064?\nAnswer: 1007a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385919790.\nAnswer: 2, 3, 5, 71, 181183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -6, -3, 3\/7.\nAnswer: -6, -3, 3\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3. Let w(m) = -98*m + 735. Calculate 1470*r(f) - 6*w(f).\nAnswer: 588*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 36*d - 7. What are the prime factors of h(30)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-5)\/1*1. Let t(y) = -6*y**2 - 2*y - 1. Suppose -4 = 8*x - 20. Let s(g) = -1 - g**2 - 148*g + 146*g - 4*g**x. Give n*t(l) - 5*s(l).\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -13. Solve 0 = -s*f + 594 - 606 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = i - 0*b - 19, 2*i + b = 18. Let l = -27 - -35. Suppose i*x = l*x - 20. Is 21 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -679794867, -679794866, -679794855, -679794828, -679794779?\n\"Answer: w**3 - w**2 - 3*w - 679794864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125137 and 14289.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 115306757?\nAnswer: -115306765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 105, 96, 85, 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((-6)\/(-204)*-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -25, -42, -65, -94, -129, -170?\n\"Answer: -3*j**2 - 2*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1852*a + 3959*a - 180141 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -75.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-35))\/(2331\/(-189) - -3*4)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 54*s**2 + 0 - 87*s**2 - 8*s**2 - 2 to the form b*s**2 + d + c*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:45 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -1\/3 (c) 1\/3 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/5 + 684*j**3\/5 + 59162*j**2\/5 + 23256*j + 11560 = 0?\nAnswer: -170, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i**2 + 3*i + 101*i**2 - 3*i.\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-30) - 264\/(-330). What is the closest to u in -22, -27, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/112 + o**7\/42 - 7*o**4\/4 + 30*o**2. What is the second derivative of q(u) wrt u?\nAnswer: -60*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -473, 0, 2 in decreasing order.\nAnswer: 2, 0, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -14*o**2 + 1247*o - 1315. Determine j(88).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/5)\/u**20 assuming u is positive.\nAnswer: u**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3*h + 5)*(-208*h - 9 + 12 - 5 + 6) as p*h + a + y*h**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 303*k - 608. Does 106 divide f(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86648563.\nAnswer: 86648563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2598)\/128*12\/(-18). Let y = c - 1\/32. Calculate the common denominator of 119\/80 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-11 + 7 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2 + (-5)\/2. Let z = 5\/48 + -179\/336. Which is the closest to -0.1? (a) z (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 12*k + 2. Suppose 0 = -2*o + 5*w + 424, -838 = -4*o - 0*o + k*w. What is the remainder when o is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299128.\nAnswer: 2, 139, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w*w*w**3)\/(w**(1\/4)*w)**(-29)*((w**2)**12)**(-39) assuming w is positive.\nAnswer: w**(-3547\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*n**3 + 8\/15 + 4\/5*n**2 + 6\/5*n.\nAnswer: 2*(n + 1)**2*(n + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 5608*i**2 - 2009700*i - 30735936.\nAnswer: -4*(i + 16)*(i + 693)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160691629.\nAnswer: 7, 37, 61, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*x - 90 = 0, 20*n - 22 = 19*n + 3*x. What is the highest common divisor of 6176 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 10*d + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let h(r) = -419888*r. What is h(p(c))?\nAnswer: -419888*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -53. Let z be 0*3\/f + (-2 - -7). Let x(m) = 6*m**2 - 6 - 5*m - 5*m**2 - 1. Give x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (206 + 136136\/(-663))\/((-2)\/(-189))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 1202201?\nAnswer: -1202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*x**2 - 242*x - 68.\nAnswer: -2*(x + 17)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**2\/2 - 8*l - 2. Let m be y(7). Let k be (-1 + -77)\/(((-450)\/40)\/15). What is the highest common divisor of m and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.041 less than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -236983.1186 to the nearest one thousand.\nAnswer: -237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 85.13355 (b) 0.4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 4794*o - 16 - 14 + 48 to the form a*o + s and give a.\nAnswer: 4794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 6882340297478?\nAnswer: -6882340297474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33791 less than 36061?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(8\/4*3\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 33.667. What is a rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(1 + (-20)\/12)\/(-2). Suppose -5*q + 23 = 2*w, -5*q = -4*w - 3 + 4. Suppose 0 = -4*k - q*m + 61, 4*k - m = f*m + 96. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -93. Let y = 1.2 - -3.8. Let x = -4.6 + y. What is the nearest to q in 3, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/3)*d)\/(d\/(d**(-2\/7)\/d)))\/(d**(-7)\/((d**(2\/11)*d*d)\/d)))**(-43))**15 assuming d is positive.\nAnswer: d**(-359050\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8910 and 48330.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e588 - -293?\nAnswer: -e2e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-2) - 5)\/((-1)\/6). Factor 0 + 0*a + 2\/7*a**2 - 2\/7*a**z.\nAnswer: -2*a**2*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 + 23 = -44*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-336))\/(15\/(-15)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166178116.\nAnswer: 2, 13, 983, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-35)\/(-574)*(-16)\/60) is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19747 - -19780. What is the lowest common multiple of a and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4530502727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 949579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/((y\/((y\/y**(-2\/7))\/y)*y)\/y)*y))**(2\/79)\/((y*y**(3\/7))\/(y*y*y\/(((y**(-1)*y*y)\/y)\/y)*y)))**25)**(1\/3) assuming y is positive.\nAnswer: y**(49625\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70420 (base 15) in base 6?\nAnswer: -11340533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2084)\/2*(2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 20 = -3*f. Let d(i) = i**2 + 4 - f - i - 5 + 4*i. Calculate the remainder when 35 is divided by d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1397698*f**4 + 2*f**2 - 511*f - 429.\nAnswer: -33544752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225.3533 rounded to the nearest ten?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - (-4 + -5) - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 41 - 21 - 3 - 44.\nAnswer: -7*b - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 51*s = 27*s + 1260 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 3*a - 4. Let y(n) = n + 1. Let x(w) = -b(w) - 2*y(w). Suppose 4*o = q - 3 + 6, 0 = 3*o - 2*q + 4. Give x(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -245343.7 and 87.51.\nAnswer: -245256.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 143*n**2 - n - 2*n - 150*n**2 - 5. Let a(g) = 4*g**2 + 2*g + 3. Determine -5*a(u) - 3*w(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-14)\/140). What is the second derivative of -319*v**i - 262*v**5 + 24*v + 661*v**5 wrt v?\nAnswer: 1600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -570*a + 1 - 2 - 3 + 568*a to the form d*a + n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27)*3*(-9)\/2. Let f(u) = u + 26. Let o be f(-8). Let m = 21 - o. Solve -j*x + 3 = 2*p + 10, m*x + 3*p + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 26 = -62 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 14*n**2 - 8*n - 25. Let t = 279 + -181. Suppose -h - t = 6*h. What is the units digit of k(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30 + ((-48)\/15 - -3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2, a: 1}. What is prob of sequence lqa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 11:27 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8756623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 4. Suppose 2*d - 75 = -p*d. Let j(x) = 74*x**3 + x**2. Let c be j(1). What is the highest common divisor of d and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/4062, -16\/11, 2?\nAnswer: 1\/4062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o**3 + 5*o**2 + 2*o - 4 - 3*o**2 - 36*o**3 + 138*o**3 - 4*o to m*o + f*o**2 + u*o**3 + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5) - 2)*(-70)\/315?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*h + 10026, 2 = -7*h + 6*h. List the prime factors of k.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxs when three letters picked without replacement from sxsssssxsd.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615945349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0, 1, -2081 in descending order.\nAnswer: 2, 1, 0, -3, -2081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(19) - sqrt(76)) + 4 - sqrt(19) - (sqrt(76))**2*4) + 4.\nAnswer: -295 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**4 + 16*i**4 + i**3 - 24*i**2 + 644 - 2663 with respect to i.\nAnswer: 36*i**3 + 3*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (0 - 0)) - (72 - 96)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 - 3430*j**3 + 45175*j**2 - 181440*j + 209700 = 0. Calculate j.\nAnswer: -699, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142910024 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/28)\/((-24)\/(-14))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6734402 divided by 2\nAnswer: -3367201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 60. Let j be d\/(4 - 6\/1). Let u be -4 + 1 + (j + -2)\/1. What is the closest to 0.1 in 0.4, u, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2730\/135 - (42\/(-27))\/(-7). Solve -129*u = -133*u + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/(-4) - -4)*-2. Solve 0*j + j = -r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*s + 3533 - 3603, -5*i - 75 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/31 - 130\/217. Let g = 0.48 + -0.69. Let m = -0.01 - g. Which is the smallest value? (a) m (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*w - 6389, 11*u = -3*w + 15*u + 6385. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.174596 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/35)\/((-3)\/(-21)). Let n = 14 - m. Calculate the highest common divisor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926334.4t to nanograms.\nAnswer: 926334400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -255457, -255493, -255529, -255565?\n\"Answer: -36*o - 255421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(4) + sqrt(36)) - -1*sqrt(2100))\/(sqrt(1008) - (sqrt(1008) + sqrt(1008) + (sqrt(1008)*5 + sqrt(1008) + sqrt(1008))*1)).\nAnswer: -41*sqrt(3)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2 - 316 - 306*c**5 - 165 + 436 wrt c?\nAnswer: -18360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4947.218 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8401320 and 45?\nAnswer: 8401320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588500 by 5350.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43733.63km?\nAnswer: 43733630000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*n = 20, -5*j + 12 = 3*n - 38. Let f be 2190\/75 + (-2)\/j. Let m = 43 - f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -34, -170, -434, -868, -1514, -2414, -3610?\nAnswer: -5144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 38.864.\nAnswer: -19.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 8*j**4 + 90*j**3 + 11*j**4 - 4 - 92*j**3 + 15*j**2 to w*j**4 + h*j**3 + a*j + n + z*j**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -787.6 + 802. Let k = c - 14.5. Let t = -75 - -153\/2. What is the nearest to 1\/4 in 5, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10976982?\nAnswer: 2, 3, 1829497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 190*m - 190*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 3*y - 3*y. Let m(n) be the second derivative of n**3\/6 + 38*n. What is k(m(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254390762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -210049 from -2.\nAnswer: 210047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/1890 - j**6\/540 + j**5\/540 - 81*j**2. Factor y(b).\nAnswer: b**2*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 2*r - 3. Let k = 4 + -6. Calculate w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + 4*c**2 + 4*c - 2. Let j(y) = 3*y**3 + 3*y**2 + 3*y - 1. Suppose -5*q = -3*q - 8. Determine q*j(f) - 3*r(f).\nAnswer: 3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/7 - 26772*o\/7 - 26386720\/7.\nAnswer: 4*(o - 7565)*(o + 872)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6312 - 6181. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -5 in ascending order.\nAnswer: -7, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 1. Suppose 2*c - 161 - 39 = 0. Suppose 2*j + m*j = c. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2687472 litres?\nAnswer: 268.7472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 291 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15671 is divided by 4626?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233246 and 5564?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8709 is divided by 154.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1601*j + 1600*j = -1289, 4*j = -3*x - 801. Which is bigger: -170 or x?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -31 (b) 2\/7 (c) -4 (d) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 67. What is the biggest value in 1, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 12) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2. Let n be m(6). Let p(j) be the third derivative of j**5\/60 + 38*j**3\/3 - 9*j**2 + 2. What is the units digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9359393299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 4 - (-6)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.742 + -0.042. Let j = h - 4.2. Suppose p = 2*p - 3. What is the second smallest value in -8, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*q = 20, -q - 2 = 4*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 6 (d) 1\/2 (e) -3\/8 (f) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.489 + -0.011. Let h = -221 + 212. Put g, 3, -2\/3, h in descending order.\nAnswer: 3, g, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1503, -4008, -7513, -12006, -17475?\nAnswer: -23908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*d - 1473*d - 412*d + 399*d = 95988 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25.014? (a) 2\/5 (b) 2\/9 (c) -0.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*3 - 117. Let v = n - -261. Let j(z) = -z**3 + 6*z**2 + 3*z + 57. What is the remainder when v is divided by j(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -23. Let s(g) = -2*g**2 - 18*g - 14. Calculate the remainder when a is divided by s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.6 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -23*(-5)\/(-35) - -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 10966*v\/3 - 3655\/3.\nAnswer: -(v - 3655)*(3*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182680?\nAnswer: 2, 3, 5, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224025 (base 9) to base 6.\nAnswer: -2513035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84637 - 84643 + 9*s**2 + 169280.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036816 to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 49*z**3\/3 - 413*z**2\/3 - 248*z\/3 - 12 = 0.\nAnswer: -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 4. Let a be f(5). Let u(n) = n**3 + 3*n**2 - 1. Let g be u(-3). Let o be a*0*g\/3. Solve -5*t + 3*t + 10 = o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 27, 5 in decreasing order.\nAnswer: 27, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*p = -0*p - 10, 3*p + 2 = 5*c. Let f = 193 - c. Suppose 0*b + f = 5*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*c + 16 = -147*c. Solve 0*r - 10 = c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 - u + 21. Let f be y(4). Let z = -58.7 - -59. Which is the smallest value? (a) -7 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443.89712 - -4.03038. Let v = -425.9 + s. Let h = -22 + v. Round h to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1583*b**6*w + 2*b**3*w - 21*b**3 + 18*b**2 - 956*b*w + 2*w + 1 wrt b.\nAnswer: -189960*b**3*w + 12*w - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000847454 to five dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18393 (b) -6\/11 (c) 2 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35928, -60518, -101502, -158880, -232652, -322818, -429378?\n\"Answer: -8197*r**2 + r - 27732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5599.4 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/47 + -1749\/94. Which is greater: -20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3382, 3533, 3694, 3865?\n\"Answer: 5*b**2 + 136*b + 3241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-10\/9)*p*p**(-1\/10)*(p**13)**14)**(-4\/21) assuming p is positive.\nAnswer: p**(-33302\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 271*p**2 + 0*p**3 + 2*p**4 - 268*p**2 - 2 + 2*p**3 to the form o*p**2 + x + v*p**4 + c*p**3 + z*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 774.924 micrograms?\nAnswer: 0.774924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 29, 12, -41, -142?\n\"Answer: -2*w**3 + 21*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-284)\/(-6) + (-4)\/12. Suppose 3*u - z = -8. What is the highest common factor of u and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 i when four letters picked without replacement from {o: 12, i: 2}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**5 + 4*o**5 - o**5)*(-1 + 3 - 4) + 2*o + 8*o**5 + 0*o - 9*o.\nAnswer: 4*o**5 - 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14\/9 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 77?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113221?\nAnswer: 19, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 31 (c) -59\/6 (d) 8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -9*v**4\/5 + 518*v**3 - 188613*v**2\/5 + 65208*v + 81796\/5 = 0.\nAnswer: -2\/9, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*d - 284. Let w = -41 + d. What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 2 f when four letters picked without replacement from gxhxgqfxfxyq?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*r**2 - 23*f**3*r - 656*f**3 + 226026*f**2*r**4 + 5*f wrt r.\nAnswer: 2*f**3 + 2712312*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 2. Let h(y) = -4 + 4 - y**2 + 2 - q + 8*y. Let n be h(8). Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) + (6\/12 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h**4 - 9*h**3 + 252*h**2 + 27*h - 608930359?\nAnswer: 28*h**3 - 27*h**2 + 504*h + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 70 - 11*m**2 + 105 - 15*m**2 - 8. Let h(a) = 16 - 8 - 25*a**2 - 4*a + 20. Let r(v) = 4*f(v) - 3*h(v). Differentiate r(l) with respect to l.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773450 a multiple of 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*r - 7*r + 575, -5*r + 4*d + 954 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 20*y + 32. Let p(k) = 2*k**2 - 20*k + 32. Let a(m) = 2*p(m) - 3*t(m). Calculate the remainder when 107 is divided by a(-23).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -5, 0.002, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00254609 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13760239.\nAnswer: 29, 474491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/12)\/1*(-6)\/52.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 100, 0.1, -0.4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74.7 and -24958394560?\nAnswer: 24958394634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16847 and -5.\nAnswer: -16852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*o**3 - 54509634 + 54509634.\nAnswer: 423*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 449599.\nAnswer: -2247995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - -1*sqrt(560)) + sqrt(875)*3 + sqrt(875))\/(-1*1*sqrt(245) - sqrt(245) - sqrt(245)*2*2).\nAnswer: -25*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15669604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 14*f**2 + 2 + 3 in the form g*f**2 + t + s*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Let d = -6.94 + 1.94. Let h = 0.12 - -3.88. Which is the closest to -0.1? (a) r (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, c: 2, g: 1}. Give prob of sequence gpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than 7.22305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let p = -4 - n. Which is the third biggest value? (a) -2\/17 (b) p (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/14*f**4 + 0 + 0*f - 1\/210*f**6 + 3*f**2 + 0*f**3 + 4\/105*f**5. Suppose p(r) = 0. What is r?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20449 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znwez. Give prob of sequence wne.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 321*f - 315*f. Calculate the highest common divisor of f and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-165)\/(-3) - -1). Let s = v - -70. Solve -3*a = -a - s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 62\/15 - 336\/420\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/(-5 - -1) - (-1 - 1). Let q be (-1 - -2501)\/(b\/11440). Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4*5\/(-120)*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010102 - -10?\nAnswer: 12010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -25964450?\nAnswer: -26\/12982225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -22985 at least -20633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -153461 and -38?\nAnswer: 153423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 14 - 160. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 + 4*r - 4. Let g = -6 + 2. Let u be c(g). Is 10\/(4\/u*6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22507253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 - 142*m - 24200 = 0. What is m?\nAnswer: -100, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21331 < 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, h: 3, j: 5}. Give prob of picking 1 h and 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2704 and 11518780?\nAnswer: 598976560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 2*d + (-1 + 0 + 3)*(-d + 2*d - 3*d) + 3*d - 3*d - d)*((4*d + 4*d - 6*d)*(3*d + d - 6*d) + 4*d**2 - 7*d**2 - 3*d**2).\nAnswer: 70*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x - 10. Give v(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d**(-2\/19)*d*d\/((d*d*d*d\/d**(3\/4)*d)\/d)*d*d*((d**4\/d)\/d)\/d)**13 assuming d is positive.\nAnswer: d**(-5291\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxkxkx. Give prob of sequence kxx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + (8 + -11 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -146*a - 1315. What is k(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 77*t + 2. Let m be d(-1). Let i = m + 77. Solve 3*n - i*n = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -48 + 120. What is the remainder when 70 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125, -216, -197, -74, 147?\n\"Answer: -j**3 + 61*j**2 - 267*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -119*u**3 + 35*u - 35. Let s(z) = -7*z**3 + 2*z - 2. Let q be 1*4\/22 - 1668\/(-22). Let j = q - 41. Calculate j*s(b) - 2*d(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 158. Which is greater: f or 102?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = -2*i. Let z be (-217)\/i - (-1 + 2). What is the highest common factor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from fffffffffffffffffy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**2 + 2*q**2 - 7*q**2 + (80*q + 6*q - 3*q)*(4 + 11 - 2*q - 21) to o + k*q**2 + s*q and give s.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (584\/3650)\/(6\/5) - (-103)\/(-1980)*3?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**3)\/o)\/o*o**(-8))**(4\/23)\/((o\/o**(3\/2)*o**(2\/13))\/(o**(2\/17)\/(o\/(o\/(o**(3\/2)*o*o)*o)))) assuming o is positive.\nAnswer: o**(-14770\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 15. Let h be (-6 - o)\/(4\/(-6)). Suppose -f + 140 = h*d, 26 = -4*d + 3*f + 217. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4)*k)\/k)**37 assuming k is positive.\nAnswer: k**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 81 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 32. Let k be (-2 + s\/(-14))*(-8)\/24. Which is the nearest to k? (a) 1 (b) 26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 3*h**2 + h**2 + 0 + 3*h**2 - 6. What is the tens digit of v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1407 divided by -2\nAnswer: -1407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 52*u = -4260. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxux when four letters picked without replacement from uuuxuuuxxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 80, 0.3, 8, -8 in decreasing order.\nAnswer: 80, 8, 0.3, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/49)\/((-1)\/(-7)). Let o = -8 + j. Is 1 - (-166 + 4\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 53. Let m = 0.3 - 0.3. Let w = 0.2 + m. Sort w, -0.1, z in descending order.\nAnswer: z, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248696c (base 13) to base 16\nAnswer: adad37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*s**2 + 44*s**2 + 547 - 974 - 3*s wrt s?\nAnswer: -72*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 8*k + 18. Let r be o(-3). Suppose r*c - 3*y - 1 + 4 = 0, -4*c + 23 = 5*y. Solve 3*h - 7 = c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023 = -102*l + 1605 - 976 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/10*(-9 + 4). Let c = -4 - g. What is the derivative of -3*t + 1 + 5*t + c wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2842 + 299.5342. What is s rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j + 4. Suppose -z + 3 = -4*r, 5*r = -0*r - 2*z + 6. Let m be c(r). Suppose -15 = q + m*q, 0 = -b + q + 4. Solve 9 + b = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 30 - h + 27*h.\nAnswer: 23*h - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(18) + -4 - (1 + sqrt(1152) + sqrt(54)\/sqrt(3) + 3).\nAnswer: -36*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 16*u**2 + 5*u - 195. Determine v(-15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 44*s - 2. Calculate q(17).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*n + 7*n**4 - 13*n**3 - 31 + 28*n wrt n?\nAnswer: 28*n**3 - 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-36)\/210)\/(4\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10536414 < -10536416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/14 or 5?\nAnswer: 67\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8595 + 8593. Suppose 3*t = -0 - 12. Put -23, -3, t, p in descending order.\nAnswer: p, -3, t, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 317*m**2 + 4761*m - 5. Calculate r(-15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j - 8*j**4 + 60 - 21*j + 116 + 7*j**4 + 10*j + j**3 as h*j**2 + i*j**4 + g + w*j + o*j**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9831?\nAnswer: 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12694*o = 2547*o - 5650 + 752459 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**19*d\/(d*(d\/(d*d**(-2\/3)))\/d*d*d) assuming d is positive.\nAnswer: d**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5725\/4122)\/((-160)\/(-36))\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12045 and 6561021.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 11*u - 17. What is the hundreds digit of u\/(2\/1251) + (-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k**4 - 116*k**3 + 180*k**2 - 96*k + 16 = 0. What is k?\nAnswer: 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + o - 20 = -3*o, 2*b - 5*o + 25 = 0. Let h be 5*(1 + 0 - b). Sort h, 2\/9, -5 in ascending order.\nAnswer: -5, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110000110101100010 (base 2) to base 7.\nAnswer: -54402515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 - 184. Suppose k = 35*u + 49. Solve -9 = 5*c + w, -5*c - 5 = -0*c + u*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (1 - 2 - (-16)\/4). What is the closest to -2 in x, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 110.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394917416 to the power of 1\/2, to the nearest integer?\nAnswer: 37349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + 3?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-28)\/(-40) - (-9)\/(-18). What is the closest to -1\/2 in z, 1\/9, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 3 - 1)\/(-3). Let p = 1 - q. Sort 3, 1, p in ascending order.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 9*m**2 - 8*m + 5. Let g be c(-10). Let x = 15 + g. Let v(r) = r**3. Give v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v + 40*v + 36*v)*(-5*v + 4*v + 2*v)*(0 + 5 - 1).\nAnswer: 232*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o = 32*o + 11*w - 32178, 5*o - 160578 = -3*w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1318 - -0.13. Round c to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018552186 rounded to six dps?\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49560422 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 2*w - 3. Let u(n) = -2*n**2 + 3*n + 2. Give -3*u(k) - 2*x(k).\nAnswer: -2*k**3 + 2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 48. Let f = -35.274375 - -0.281775. Let h = v + f. Round h to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4915 or -4906?\nAnswer: -4906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, -3 in increasing order.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6 (b) -1\/6 (c) -1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - 4123\/420)\/(6\/(-5)). Let p = -31\/8 - w. Factor 0*q - 8\/9*q**2 + 0 - p*q**3.\nAnswer: -4*q**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25028964*x = -25028949*x - 675 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, m: 1, v: 2, e: 13}. Give prob of picking 2 e and 1 v.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*j + 1 = 0, 4*j - 6*j + 1 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 - 0.797. Let w = 0.273 - q. What is the third smallest value in 2, w, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 5*u - 99, -79 = -2*k - u. Calculate the remainder when 94 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**4\/4 + 7*a**3\/3 + 2*a**2 - 8*a - 122. Let r = 12 + -18. Let h be j(r). Solve h*v - 2*v - 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 5. Find the first derivative of 2 + j**3 - s*j**3 + 3*j**3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -1.3. Let h = 0.22 + -0.02. Let g = 0.1 + 0.9. Which is the third smallest value? (a) v (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -43 (b) 1 (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 - 2*w**2 + 9*w - 41. What is the units digit of q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**7\/840 + v**6\/180 + v**5\/120 + 5*v**3\/3 + 16*v. Let p(a) be the second derivative of h(a). Factor p(f).\nAnswer: f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099300 is divided by 34351.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51055205 (base 6) in base 4?\nAnswer: 11202332111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Let j(v) = v. Let o be j(3). Let k = x - o. Calculate the smallest common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -33 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipiippppppp. What is prob of picking 2 p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6015 is divided by 1009.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186.29729 + 184.0972922. Let x = t - -2.2. Round x to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*y - 222*y + 48 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.7? (a) 2\/9 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 47566*g - 142613. Calculate a(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -41\/19, -4, 2, -1\/6, -43, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y - 3. Calculate the remainder when 3 is divided by n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9651, 38578, 86781, 154260, 241015, 347046, 472353?\n\"Answer: 9638*g**2 + 13*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 10:32 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63218 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/12 - (0 - -8)\/4. What is the smallest value in 2\/23, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - -0.5. Let d be (-2 + 1)*-3 - 0. Let x = -5 + 3. Sort x, d, s in decreasing order.\nAnswer: d, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.5 + -0.5. Let w = 13967 + -13960.0052. Let t = w - o. Round t to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 40 - 42)*(-w**4 + 3*w**4 + 2*w**4).\nAnswer: -156*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -126, -174, -220, -264, -306?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46e3 + -3?\nAnswer: 46e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20415 (base 10) to base 4.\nAnswer: 10332333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*m + 44*m + 4*m**2 - 3*m**4 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 431 divided by -16\nAnswer: -431\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 smaller than -6130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*f + 366535 + 62425. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*n - 1\/6*n**2.\nAnswer: -n*(n - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 4 + 4 + 2011*k - 9 to the form a*k + g and give a.\nAnswer: 2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7488 is divided by 7476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3633 and 2457861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 7*s**2 - 2*s - 4. Let n be a(6). Let r = -23 + n. Suppose -2*i = d + 3*d + 26, -5*d - 15 = -i. Put d, 5, r in descending order.\nAnswer: 5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3809968 and 1.\nAnswer: 2.3809968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374 or -1900217?\nAnswer: -1900217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.15 + 0.15. Let y = 44116\/9 + -4902. What is the fourth smallest value in -2, w, y, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/4, 7, -0.186114, 1\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2134*z + 11707. Give t(-6).\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1542, 3, 2 in increasing order.\nAnswer: -1542, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*d**2 + 592*d**2 - 4*d + 585*d**2.\nAnswer: -3*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/33 - (351\/18 + -19)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:15 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896932329 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 4. Let z = 2.2 - -2.8. Let p = z - s. Which is the closest to 0? (a) p (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 8 (c) 0 (d) -0.056 (e) -23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 8\/7 (b) -77 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o**2 + 6. Let n = -1 - -1. What is the units digit of r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 6955924483.\nAnswer: -6955924481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 24*m - 23. Let w be h(-5). Let z = -134 - w. What is the remainder when 15 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17324 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 24 = -2*p. Suppose 2*d - n = p, -5*d = -5*n + 3*n - 22. Solve -11 = -5*v + 3*m, -v - 3*v = -m - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*c**3 - c + c + 345*c**3 + 727*c**3 + 51*c**3.\nAnswer: 1410*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {v: 4, c: 1, y: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**3 - 4*w**3 + 4*w**3)*(5577 + 6526 + 624) in the form q*w**2 + b*w + h*w**3 + n and give h.\nAnswer: -12727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(-96)\/176*(-413)\/177?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 5303.\nAnswer: 13\/5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {y: 2, e: 1, j: 4, b: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/45639 and -61\/224046.\nAnswer: 2464506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77))*-6 - sqrt(77) - sqrt(77))\/((sqrt(66)\/(sqrt(6) - sqrt(6)*-1) + sqrt(11) - sqrt(11)) + sqrt(11)).\nAnswer: -16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 m when three letters picked without replacement from pmmwwpmmw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*j - 30*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520*m + 5746 = 507*m. List the prime factors of (-102 + 110)*m\/(-8).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75571.34t to grams.\nAnswer: 75571340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w + 2. Let k = 1 + -4. Does 22 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*((-4 + 4 - 2)*(-2 - 1 + 1) + 1 - 1 + 1 + 1 - 15 - 1)*(-u**2 - 3*u + 3*u) in the form l + d*u**2 + n*u and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -5\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 110\/(-11)) + -6 + (4 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/477580 and 99\/238790.\nAnswer: 477580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*q - 60 - 30*q - 17*q**4 - 12*q**3 + 22 + 29 wrt q.\nAnswer: -204*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36364.29 minutes to milliseconds.\nAnswer: 2181857400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Suppose 0 = -l*k + 2*k. Let v(z) = z + 45. Is 15 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 - 150*a**2 + 43*a - 2. Let f(c) = 20*c**3 - 456*c**2 + 128*c - 7. Let v(t) = 7*b(t) - 2*f(t). Factor v(l).\nAnswer: 3*l*(l - 15)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**(-1\/3)*r*r)*r)\/(r\/(r*r**(-3))))\/((r**1*r)\/r)**(9\/8)*((r*r\/(r**(1\/4)\/r))**(-43))**10 assuming r is positive.\nAnswer: r**(-28423\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/2 - 67*r**3\/3 - 16*r**2 + 3692. Calculate m(-33).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20439604 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5 - 4*q**3 - 2*q**2 - 2 wrt q?\nAnswer: 60*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/((y**(-1\/4)*y*y*y)\/y*y))\/y)**(-6\/35)\/(y**2*y**(1\/5)))**7 assuming y is positive.\nAnswer: y**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**9\/504 - w**6\/30 + w**3\/2 - 3*w. Let o(i) be the second derivative of y(i). What is the third derivative of o(f) wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39995*r = 39985*r + 118720. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(176) + 1))**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93325760 is divided by 685?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (13 - 11) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -2, 5, -668 in ascending order.\nAnswer: -668, -2, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5880256.\nAnswer: 2, 139, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-53566)\/((16 - 20) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/8)\/(25\/1900)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or -9685?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-70) + 108\/(-112))*(3 + 1). Let s(u) = u**3 + u**2 - 3*u + 4. Suppose -4*q - 8 = 4. Let k be s(q). Is k smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -49 in descending order.\nAnswer: 8, 1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - w**2 - 6*w + 2*w**3 + 66 + 0*w**4 - w**3 - w**4 to c*w**4 + b*w**3 + a*w + f + t*w**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 7*n + 86 - 83 - 5. Let w(k) = 4*k**2 - 13*k + 4. Determine 9*m(h) + 4*w(h).\nAnswer: -2*h**2 + 11*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 66 + 52*u - 131.\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4 - 140*s**3 - 20*s**2 + 3 wrt s?\nAnswer: -48*s - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -212, -326, -456, -608?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225263*j**2 - 186546 with respect to j.\nAnswer: -450526*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 14 + -13 + -16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -70 + 3 + (2 + -1 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/10, -12, -14925, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -87.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118.6 + -107. Let z = -16.2 - a. What is z rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00408487 to six dps.\nAnswer: 0.004085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9*(3 + -87). Is (-2)\/(-3) + a\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 5 (b) -2 (c) 2115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 391375050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 37. Calculate o(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 927595 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 848296 and 424148.\nAnswer: 848296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (7 + 3 - 7) - (-7 - (-23 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 2330.2.\nAnswer: 2329.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3610*d*o**3 - 93*d*o**2 + 12*d*o - 5425432*d wrt o?\nAnswer: 10830*d*o**2 - 186*d*o + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -v - 4*s, 2*v - 51 = 3*s - 8*s. Let a(q) = -q**3 + 18*q**2 + 18. Calculate the lowest common multiple of a(v) and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 0*d**4 + d**4)*(0*d + d + d) + (-d - d**2 + d)*(d**3 + 0 + 0) - 3*d**5 + 2*d**5 - d**5.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 7, 30, 83, 178, 327, 542, 835?\n\"Answer: 2*p**3 - 3*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13\/6, -12, -33, 55, 2, -0.2, -0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*q - 2*q - 5, 4*x = 5*q - 20. Suppose q = -3*n - 533 - 148. Let f = n + 322. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p. Let m(u) = -7*u**2 + 6*u - 1. Determine -m(h) + 4*t(h).\nAnswer: 11*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 705 - 703. Which is smaller: 37\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188308840 divided by 37661768\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-648)\/(-1890))*-4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646252161?\nAnswer: 3, 17, 53, 239087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769865539.\nAnswer: 139, 701, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*m**2 + 168*m + 156*m**2 - 168*m + 3709*m**3.\nAnswer: 3709*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777633.\nAnswer: 3, 259211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -732562?\nAnswer: -3\/732562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1085 + 19799*z**2 - 9903*z**2 - 9900*z**2 in the form i*z + v*z**2 + f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783738789 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {k: 4, c: 9, t: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/20 + m**4\/12 - m**3\/6 - 20*m. Determine f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 p when four letters picked without replacement from {m: 1, e: 5, p: 14}.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -65. Put 16, g, 4, 0.4 in increasing order.\nAnswer: 0.4, g, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 4*l**2 - l**2 - 6*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 683 = -1424. Suppose 4*m - y = -5. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*5)\/(sqrt(2)*-2*-2).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/10)\/((-2)\/(-25)). Let t = -26 + b. Is 23 a factor of 22\/(-4)*-16 + t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318108577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9129 divided by 3043.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 + 5 + 8 - 15 + 17 + 3 + 2*k in the form t*k**3 + d*k + m*k**2 + b and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1740 = 326*x + 9018 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 5.2. What is the third biggest value in s, 2\/9, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -392 + 394. Let i(g) be the second derivative of 0 + 1\/20*g**5 + g**c - 1\/12*g**4 - 5\/6*g**3 - 3*g. Determine i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228847321?\nAnswer: 13, 157, 602081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 61 = -5*b, -b + 2*y + 3 = -7. Factor 8*g - 73 - b*g**3 - 20*g**2 + 73.\nAnswer: -4*g*(g + 2)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3 (b) -10129 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -166, -291, -500, -793, -1170?\n\"Answer: -42*v**2 + v - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k - k. Let x be (3 - k) + 2\/(-1). Factor 10*p**2 - x*p**2 - 7*p**2 + 2*p.\nAnswer: p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 + -3 - 1) + 6 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.4585 + 13.31. Let l = o + -0.349. Let f = -2.5 + l. Round f to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050260467 to the power of 1\/2, to the nearest integer?\nAnswer: 32408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 16248.\nAnswer: 113736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000084851289 to 7 dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 133. Suppose -6*q + k*q - 21 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -504.3568 + 504. Let d = 0.05 - -0.3. Let p = d + l. What is p rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.137 (b) 5 (c) 0.4 (d) 109 (e) 4\/7 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 + 2*b + 1. Let k be q(-2). Let c = 417648 + -417759. Sort 2, k, c in descending order.\nAnswer: k, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7649822 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 3 + 0)*-31 + -3. Let l = t - 6. Let a be l\/12*(-6)\/4. Solve -a*c + 27 = 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/2631?\nAnswer: -2\/2631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u - 5*q + 6, 2*q = -u + 4. Determine r so that -6*r**3 + 0*r**2 - 3*r**2 + u*r**4 - 2*r**5 + 5*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -39, -70 in descending order.\nAnswer: 4, -6, -39, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2619*q = -6376 + 8891 + 7961 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/7 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1229767*12\nAnswer: -14757204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 0, -5 in decreasing order.\nAnswer: 0.2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100045 (base 10) to base 7.\nAnswer: -564451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 103?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57 - 18*x**2 + 27 + 20 wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 410, -2, 2317 in descending order.\nAnswer: 2317, 410, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/240 - t**5\/120 - 29*t**4\/24 + 81*t**2. Let y(g) be the second derivative of n(g). What is y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -0.1, -3, -3\/2, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b + b + 38 + 42*b**3 - 38 + (-14*b - 12*b + b)*(-2*b**2 + 2 - 2) + 6*b**2 - 6*b**2 - 2*b**3.\nAnswer: 91*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -40. Find the second derivative of -7*d**2 + 11*d**2 + 2*d**3 - 4*d**2 + 7*d**5 + k*d wrt d.\nAnswer: 140*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/319, 41 in increasing order.\nAnswer: -2\/319, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 14*h**2 - 12*h - 29. Give u(-13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 12700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55441.74 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1940)\/(-520)*2)\/(2 - 34\/2) and (-32)\/(-24)*67\/(-40)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5396 and 1704.\nAnswer: 32376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y. Suppose u + 2*z - 5 = 3*z, 0 = 3*u + z - 31. List the prime factors of j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 + -1 + 16\/4. Let u(p) = p + 14. Let j be u(k). Suppose h = 4*f + 53, -j*h + 6*f + 157 = f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-216)\/63) - (-85)\/22.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -7, -4, -26 in decreasing order.\nAnswer: -4, -7, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -5\/6, -3, 17114?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*o + 14, -2*o - 1 = -3. Suppose 2456 = a*p - p. Let f = p - 435. Is 43 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1038*y + 345*y + 350*y - 4*y**2 + 6*y**3 + 337*y. Let l(t) = t**2 + t. Determine 2*g(b) + 12*l(b).\nAnswer: 12*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 21*l**2 - 21*l - 16. Let z be p(-20). Suppose -43 = -i - q, 0*q - 167 = -z*i - 5*q. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:32 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 285257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 12*m + 12 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250123861.\nAnswer: 13, 103, 186799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85114960 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-26 - -19 - 1) - -13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 6. Let f(p) = -6*p**2 - 11*p + 29. Determine -f(q) + 5*w(q).\nAnswer: 6*q**2 + 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.346538 times -0.48\nAnswer: 0.16633824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414613 is divided by 11786?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287612904 by 95870968.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -364, -1, 1, 116, -6, -2 in descending order.\nAnswer: 116, 1, -1, -2, -4, -6, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10082\/(-1420) + (65\/(-10) - -5)?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/1005467422?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2576 and 2212416.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1628, -1917, -860, 1543?\nAnswer: 5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 8*m**2 - 9*m - 9. Let x be v(-7). Suppose -3*h = x*o - 297 - 279, -4*o + 760 = 4*h. What is the greatest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*1*(-3)\/9 + 8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70\/3 - 212\/9. Which is the closest to 0.1? (a) 2\/9 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**2 + 2*w + 0 + 2*w**3 - w**3 - 5 + 0*w**3. What is the remainder when 35 is divided by v(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4872364 and -1\/8601214.\nAnswer: 842918972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 0.009 (c) -2 (d) 279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 33330.\nAnswer: 266640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.4. Let h = o + 1. Which is the third smallest value? (a) 4 (b) -3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 3. Let n = 0 - 2. Let v be f(n). Let y(m) = -5*m. Is y(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876088?\nAnswer: 2, 41, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Find the second derivative of -1 + m**c + 1 + 8*m**3 + 3*m wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 110*s - 438. Calculate o(22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -947, -1865, -2779, -3689, -4595, -5497?\n\"Answer: 2*d**2 - 924*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 324904934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 3*u**3 - 8*u**2 + 2*u**3.\nAnswer: u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/1163789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/3*8\/(-132). Which is the second smallest value? (a) 0.146 (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -63\/2*u**2 - 13 - u**3 - 60*u. Factor z(m).\nAnswer: -3*(m + 1)*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14954*o + 358897. Determine u(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j**1*j*j)\/j)))**(-49)*j**0*j\/(j\/((j**(-3\/7)*j)\/j)) assuming j is positive.\nAnswer: j**(-1032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45344291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/155 + (4 - (-10)\/(-25)) - -19.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q - 5*g, -5*g + 4*g = -4*q - 23. Put -19, 1, q in descending order.\nAnswer: 1, q, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 0*q**2 + 5*q - q**2 - 1 + 4. Let j = -94 + 108. What is the remainder when d(5) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -5*d**4\/24 + d**3\/6 + d**2 - 5*d. Let p(l) be the first derivative of q(l). Differentiate p(t) with respect to t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*k, 11 = -2*k - 2*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + 0 + -1)**2 - (-6*sqrt(384) + sqrt(24))\/sqrt(12).\nAnswer: 6 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l - 6*l. Solve 0 = l*t + 1 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(56\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 26 + 78. Let g be ((-3)\/2)\/(-3)*1246\/(-7). Let t = g - -115. What is the highest common divisor of p and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*z - 0*z, -z - 65 = -3*w. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 128*t - 2481. Calculate a(103).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from bbbbbbbbbbbbbbkbbb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*w + 6, -3*n + 4 = -8*n - 2*w. Suppose n = -8*k + 22*k - 3262. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = i + 3*i. Suppose 6*l - 42 - 84 = i. Calculate the remainder when 77 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 23*c. Let t(r) = 333*r. Let x(z) = -5*t(z) + 72*w(z). Let m(l) = -8*l**2 + 6. Let g(k) = -k**2 + 1. Let j(s) = -6*g(s) + m(s). What is j(x(o))?\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700794046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 4*l**5 - 2*l**5 + (-4*l - 2*l**4 + 4*l)*(0*l + 3*l - 2*l) - 36060*l**2 - 93*l**5 + 36060*l**2.\nAnswer: -97*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24 - (-38160)\/1593)*9\/34. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z. Let s be 92\/(-20) - (-4)\/70*(-6 + -1). Sort -12, z, s in decreasing order.\nAnswer: z, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0331, -4, -7001, -1\/6 in descending order.\nAnswer: -0.0331, -1\/6, -4, -7001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q. Suppose -u + v + 5 = -q*u, -4*v - 14 = -u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b**3 + 4*b**2 + 4*b. Let s(x) = 80*x**3 + 11*x**2 + 11*x. What is -11*m(n) + 4*s(n)?\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5 + 65*b**4 + 3815*b**3 - 74585*b**2 + 177270*b + 1299600 = 0.\nAnswer: -30, -3, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5616 - 0.10698.\nAnswer: -7.66858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3) - -7) + 4\/4. Let h(x) = -x**2 + 9*x - 10. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-56)\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -76, -241, -550, -1051, -1792?\n\"Answer: -8*g**3 - 13*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 8 - 17)*((-2 + 6 - 3)*(-r + 0*r + 2*r) + 13*r - 5*r + 7*r).\nAnswer: -448*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 14. Suppose -j*n + 4*n = -12. Suppose -17 = x - 2*x - 2*a, -42 = -x + 3*a. Calculate the greatest common factor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (186\/3906)\/((1\/3)\/(-1)). Let z = -0.1 + 0.1. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + (3 - 27\/6). Let d = 167 - t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = -19*g + 4*x - 10, -x + 1 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in -0.2, 5, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 46975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5953, 11904, 17855, 23806, 29757, 35708?\nAnswer: 41659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1526 = -7*m + 1155. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/(u\/(u*u*(u**(-1\/6)\/u)\/u)*u)))*u\/u**3*((u\/u**(-2\/3))\/u)**(-9) assuming u is positive.\nAnswer: u**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b*b**(-10)\/b)*b)\/b)\/((b\/b**(2\/33))\/b) assuming b is positive.\nAnswer: b**(365\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 481489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - d?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 8*y + 3. Let m be v(8). Let i be (4\/18*m)\/1. Which is the third smallest value? (a) 1 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 250*b + 735. Determine l(122).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153621 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 118171 (b) -0.1 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6) - 2\/(-6). Suppose 4*f - h = 77, 3*h = -2*f - n*f + 89. Suppose 7 + 2 + 11 - 5*z**4 - 20*z**3 + f*z - 15*z**2 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - (-2 - 2)) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + y + 2. Let x be 2*(15\/14 - 12\/(-28)). Let h(t) = 6*t**2 - t - 2. Calculate x*h(a) + 4*s(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l + x, -2 = 2*l + 5*x - x. Which is the biggest value? (a) l (b) -5 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 52*y - 108*y - 3 + 59*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/7 or 6026696?\nAnswer: 6026696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 21*w - 23. Let y be c(22). Let h be 194727\/(-33) - y - (-22)\/(-121). What is h rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1\/6*v**3 + 4*v + 0 + 0*v**2. Let h(n) = -2*n**2. Calculate q(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8119094 seconds?\nAnswer: 811909400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17623 and 81.\nAnswer: 1427463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349514.\nAnswer: 2, 11, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(500)*2 - sqrt(500)) + 4)*-3.\nAnswer: -120*sqrt(5) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 16*s + 20 = 4*n, n + 3*s = 5. Which is the fourth biggest value? (a) 1 (b) n (c) -4\/7 (d) -431\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = 20*q - 35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:18 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116219\/18 + 6461. Calculate the common denominator of 21\/122 and b.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2464 + 7813 = 1064*t + 701 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:19 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11143 + -7198. Is 4*k\/5 - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.8, -1\/2, 0.11, 4, 1\/9, -5, 31.65?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1. Let f(d) = 9*d - 21. Let n(c) = 18*b(c) + f(c). Let u be n(15). Suppose 16 - u = -g. What is the greatest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -25. Let i be (-3)\/j - (-34)\/10. Factor 17*o**i + 3*o**4 + 25*o**3 + 2*o**2 + 3*o**2 + 0*o**2.\nAnswer: 5*o**2*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 15051*v - 120216.\nAnswer: -3*(v - 5009)*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x + 10. What is y(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - p)*(-6*p - 19*p + 2*p).\nAnswer: 69*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - 14. Let f be g(-4). Let n = 55 - f. Suppose -5*j - 3*v + 6729 = 0, -3*j + 1357 = -2*j - n*v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187416618 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.016373 and 29.839722?\nAnswer: 29.856095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10285 - -20312. Calculate the greatest common divisor of 1355 and f.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*d + 9010, -2319 = -4*d + 5*c + 4862. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(((g**(2\/5)*g)\/g)\/g))**(-1\/7)\/(g**(-1\/7)\/g*g*g**(-3)*g) assuming g is positive.\nAnswer: g**(62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*l = 9*s + 766*l - 492, -2*s = -3*l + 9 - 123 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 48*x + 99. Let h be d(-2). Solve -4*a + 132 - 127 = -n, -2 = h*n + a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (184\/(-18))\/(145\/((-74385)\/(-114)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.01, -1, 0, -3, 0.2 in increasing order.\nAnswer: -3, -1, 0, 0.2, 1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490935.8 seconds to microseconds.\nAnswer: 490935800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(594880\/195))\/(((-18)\/(-4))\/(-8*3)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 10. Suppose 36*v + 40*v + 456 = 0. Suppose 2*k = -2*k + 20. Let z(t) = 2*t - 11. What is k*z(y) + v*x(y)?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131438963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 120 = 8*t. Suppose -5*v + 2*v + 26 = -5*b, -5*v - t = 5*b. Solve -v*p - 4*c - 6 = 0, 22 = -5*p + 3*c + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-45)\/(-12). Let a be (-2)\/(-5)*(3 + g). Let k = 0.3 - 0. What is the third smallest value in -5, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 36*h**2 + 155*h - 58. What is the hundreds digit of s(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 100*k = 0?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**20*o\/(o**(-6\/7)*o))\/(o**(-6\/7)\/(o\/(o\/o**3))) assuming o is positive.\nAnswer: o**(173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1770 - 1758. Suppose -129 + 9 = -2*z - 4*w, 282 = 5*z + w. What is the least common multiple of z\/12 - (-4)\/(-6) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14*(-66)\/1232)\/((-8)\/(-608)). Factor 457\/4*c**2 - 76*c**3 - n*c + 9 + 16*c**4.\nAnswer: (c - 2)**2*(8*c - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1921934 times -0.1\nAnswer: -192193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -42*j + 14. Let i be h(-2). Is i < 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1958, -2, 172, 11, -3 in descending order.\nAnswer: 1958, 172, 11, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-4)\/64)\/1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 5. Let s be -5 + 12\/16*4. Let m be (-42)\/(-8) - s\/(-8). Suppose -w - 6*f + 5*f + 2 = 0, -m*w + 4*f + 28 = 0. Give o(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.254674 - 1.254674. Suppose -5*o - 3 = -2*o. What is the closest to o in 19, 1\/6, n, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11200 + 23131?\nAnswer: 100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53762*i**3 + 26882*i**3 + 26846*i**3.\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 32770230*n - 53694398712645 = 0 for n.\nAnswer: 3277023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 1529*d**3 + 175.\nAnswer: -1529*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 6*o + 16. Let s be f(8). Let h(k) = 8*k - 17 - 5 + 2 + s. What is the units digit of h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -64230*t**2. Let k(s) = 6*s. What is v(k(f))?\nAnswer: -2312280*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2007809998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 5. Give c(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*k - 287 + 87. Solve 2*m + 9 + k = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*x = 143*x - 36. Let c(i) = -2*i - 4. Let s(y) = 5*y + 8. Determine x*c(l) + 4*s(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 - 68*v - 25. Let g(i) = 5*i**2 - 38*i - 13. Let r(q) = -7*g(q) + 4*k(q). What is r(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let r(u) be the second derivative of u**3 - 5*u**2\/2 + u. Suppose 2*f - 4 = 4*m + 12, -5*f = 2*m - 4. Let h = f + -1. Give h*r(x) + 5*w(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k - 37. Let a be w(11). Suppose -a*p - p + 248 = 0. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-17*u**3 + 65*u**2 - 65*u**2) + (u - 2*u - u)*(0*u + 0*u - 2*u**2) - 123 - 72*u**3 + 123.\nAnswer: -85*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. What is the third derivative of -2*x**d + 2*x**2 + 11*x**2 - 2*x**3 - 24*x**2 - x wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/20 - k**4\/2 + 2*k**3\/3 + 3*k**2 - 6*k. Let v be j(5). Let x be v\/(-2*(0 - -1)). Which is greater: -2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 5*u + 1, -5*o + 10 = -o + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let l(y) = 2*y**2 - y. Let t be l(-1). Suppose -19 = -4*g - t. Let j(f) = -2*f**2 + 5*f**2 + g*f**2 - 4*f**2. What is j(v(b))?\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5071942, -5071944, -5071946?\n\"Answer: -2*v - 5071940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 2287. Let j(n) = 4*n. Give p(j(r)).\nAnswer: 4*r + 2287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2303 and 13489.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 2)*(36 - 36 + 18*h) - 2 + 2 + 2*h.\nAnswer: 164*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 72*b = 70*b + 15, 5*u - 35 = -2*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1040278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 4 - -1) + (-14 - (-35 + 15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4)*(342*x**3 + 22*x + 54 - 23*x - 56).\nAnswer: 1368*x**3 - 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214 and 4066?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 84 = 4*i, 1 + 139 = 5*h - 4*i. Let n be 6\/h + (-2)\/4. Let z = -3877.9 + 3878. What is the nearest to -2 in n, z, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187653294 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.6 - -9.4. Let n = -833.9 - -877. Let m = d - n. What is m rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065*-0.4674942\nAnswer: 0.030387123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - y + 972, -3*m + 966 = 2*m - 2*y. Let t = m - 194. Solve 15*s - 12*s = t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314658 and 21?\nAnswer: 2202606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-4\/3))\/(a**4\/a)*(a**(1\/11)\/a)\/a**(-11))**(-50) assuming a is positive.\nAnswer: a**(-17200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-12) - 4\/(-6). Let t = 12 - z. Is 7 a factor of 7 + -10 + t + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*j + 97*a**2 - 77*j wrt a?\nAnswer: -4*a*j + 194*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a023 - -146?\nAnswer: 3a169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 561*c - 704. What is the hundreds digit of x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + d = 0, q + 2 + 7 = 2*d. What is the tens digit of (6\/q)\/((-6)\/147)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/2122116 and -17\/4.\nAnswer: 2122116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.1, -6710?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(w + 4*w - 6*w)*(0 + 0 + 2*w**3) + (-5 + 5 - w)*(-4*w**3 + 3*w**3 - 2*w**3).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802884 is divided by 1134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**4 + 8*n**3 - 12*n**2 + 8*n - 2. Let v(x) = -7*x**4 + 8*x**3 - 12*x**2 + 8*x - 2. Let f(q) = -5*l(q) + 4*v(q). Determine i, given that f(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3\/7 + 849*p**2\/7 - 492*p = 0.\nAnswer: -287, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20202 (base 3) in base 4?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10560 divided by 110.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33759.94 microseconds to milliseconds.\nAnswer: 33.75994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + 90*z**2 - 3*z + 84. Let r be c(30). Let d(k) = -k**3 - 4*k**2 + 11*k - 4. Give d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 170051, 340107, 510163, 680219?\n\"Answer: 170056*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-34))\/(10\/(-15) + 0).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from rreaewwbwwwrwb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 540\/35 - 14 - (-4)\/7. What is the greatest common factor of 77 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.57 from 12.8.\nAnswer: 15.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -732.662 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1320 + -754. Suppose 4*v + 2*p - 752 = 0, -2*v + m = 3*p + 198. Suppose 14*b + v = 4*b. Which is smaller: b or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/40)\/((-15)\/100)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/6 + 4 - (-1)\/(-3). Let z be (h - (-247)\/5) + (-14)\/35. Suppose z + 50 = 5*f. Solve 0 = -3*p - p - f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 4)*(5*z - z - 2*z) - 6*z - 9*z + 6*z + (-4*z - 5*z + 6*z)*(-1 + 0 - 1) + z - z - 2*z to the form q*z + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 3*m + 4. Calculate g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 3. Let b(w) = -41 - 3*w + 3*w + w + 37. Let n = -2 + 6. Determine n*k(z) + 3*b(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 11*q - 1. Let v(r) = -r**2 - 21*r + 20. Let s(k) = -3*g(k) + v(k). Suppose 2*b - 4*y = 5*b + 36, 5*b = 4*y - 28. Is s(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 1. Let n(p) = p**3 + 5*p**2 + 4*p + 2. Let u be n(-4). Let i(s) = s**3 - 2*s**2 - s - 1. Let b be i(u). What is the tens digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + 8 - (-3 + 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -2*b + 11*o + 5464, -6*b - o = -16327. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s, -59*s + 57*s - 9342 = -3*h. Is h a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 2, r: 2, l: 2, y: 4, x: 2}. Give prob of picking 2 x and 1 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/9 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -327684 divided by 47\nAnswer: -6972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 32. Let v be (3\/s - -1) + (-408)\/(-16). Suppose y + 71 = 3*k, 3*k + 3*y = 5*k - 52. Is v != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/509426043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66, 285, 652, 1173, 1854?\n\"Answer: d**3 + 68*d**2 + 8*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615.6303 milligrams to micrograms.\nAnswer: 615630.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + (-3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d. Let i(q) be the first derivative of q**3\/3 + 4. Give i(g(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0 (b) 2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75570, 2, -1 in descending order.\nAnswer: 2, -1, -75570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4957399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2)*(8 + -7). Let c(h) = 9*h - 6. Let j(y) = -18*y + 11. Let k(l) = -5*c(l) - 3*j(l). Is k(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 - (-15)\/(525\/430))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1408, -1444, -1480?\n\"Answer: -36*f - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11130 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -375.6 + 3.\nAnswer: -372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11137 - (-80)\/8 - 0\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6310 and -47\/205.\nAnswer: 258710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*t - 2*t + 25, -8 = -4*t. Sort 3, u, -3, 11 in descending order.\nAnswer: 11, u, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = 0, -41*u + 2084 = -39*u + 3*m. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 + 3)*(4 - 1 - 2) + 66 + 107 + 43)*(-j + 0*j - j) to o + l*j and give l.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*m**3*t**3 + 2*j**3*m**3*t - j**3*m**2*t - 9*j**3*m*t**2 - 2*j**2*m**3*t**3 - j*m**3*t**2 wrt t.\nAnswer: 12*j**3*m**3 - 12*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -124*j**2 - 2*j + 50. Let a(q) = 5*q. Give z(a(w)).\nAnswer: -3100*w**2 - 10*w + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 14?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 = 5*o + 239. Let b = o - -4. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 326, 2, -4\/13.\nAnswer: -10, -4\/13, 1, 2, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*a + 1519*a - 15*a + 524*a.\nAnswer: 2776*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 64 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((16\/12)\/(3\/(-9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 11*g**2 - 15*g + 60. Calculate a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9*h + 10. Let x be k(-5). Sort 3, -4, x.\nAnswer: x, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -0.37.\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 90, 164, 276, 438, 662, 960, 1344?\n\"Answer: 2*s**3 + s**2 + 31*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*98918.\nAnswer: -14343110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 2, y: 7}. Give prob of sequence emmm.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*b + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/75*3\/(-6)*10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30852*f**4*i**3 - 2*f**4*i + 5*i**3 + 2*i**2 + 2974*i wrt f?\nAnswer: 123408*f**3*i**3 - 8*f**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7629 = -589*c + 14753 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Differentiate -4 - 6*n**2 + 0 + n**f wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -841187*p**2*s**4 - p**2*s**3 + p**2*s - 2*p**2 + p*s - 2*p + 5379 wrt s?\nAnswer: -10094244*p**2*s**2 - 6*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 30*a**2 + 9*a + 3. Let u be w(-30). Let k = -18032 - u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + a**2 - 14*a - 7*a + 64*a.\nAnswer: 2*a**2 + 43*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178758111*h**3*v**2 - 1255*h*v**2 - 413*h + 2*v**2 - 4*v - 3 wrt h?\nAnswer: 1072548666*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 41. Suppose -133 + w = -2*z. Suppose -5*c + 4*k = -142, -2*c - 2*k - z = -4*c. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1 - 58*w**3 - 60*w**3 + 121*w**3. Calculate r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0151 * 9.4\nAnswer: 0.14194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 11*q - 42. Let b be g(-14). Let k be -2 + (0 - -1)*0. Let a be (21\/(-9) - k)*15. Sort 1, b, a in increasing order.\nAnswer: a, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -22. Solve -5*d = -b*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:37 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1196 - 0?\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 26*v**4 - 5*v**3 + 6562*v - 21514. Let c(l) = 36*l**4 - 7*l**3 + 9843*l - 32270. Let g(t) = -5*c(t) + 7*r(t). What is the derivative of g(s) wrt s?\nAnswer: 8*s**3 - 3281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3155 - 12537\/4. Find the common denominator of 57\/34 and u.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 98*p - 32 - 22 + 60. Let q be o(2). What is the highest common divisor of 101 and q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 - (-14 + 23 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 7, v: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 492 and 8?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9305658*a**2 + 5*a - a - 5 - 9305755*a**2 in the form d*a**2 + b*a + r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*j**2 + 64*j**2 + 79*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 366*k\/5 - 11844\/5.\nAnswer: -2*(k + 42)*(k + 141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3649, 18, -5, -2.\nAnswer: -3649, -5, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 - 4*d + 2. Let h be y(2). Suppose -3*x + h = -4. Solve -x*b = 7 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -415, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.76 + -1667.\nAnswer: -1698.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 38266 = 2*i + 38342, -16 = -4*h for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 149, -0.3.\nAnswer: -0.3, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.7697941 - 47.77. Round h to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)*(-14)\/(-4). Let r(o) = o + 10. Let b be r(i). Suppose 0 = -3*w - 3*z - b, -5*w + 6*z + 3 = 3*z. Solve 2*v = -w - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -9*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 13*m + 588 - 248 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-14) + 10365\/35. Suppose 3*z + m - 143 = 0. Let g = 136 + z. Calculate the remainder when g is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(24)\/sqrt(50)))\/(-3*sqrt(605)*4))**2.\nAnswer: 175\/17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -13*m**2 + 0*m**4 - 1\/20*m**5 + 0*m**3 + 0 + 0*m. Let p(q) = 4*q**2. What is p(t(j))?\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*o**2 - 138*o**2 - 136*o**2 - 2*o**3 + 5 + o + 399*o**2 in the form b*o + m*o**3 + q + l*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1258466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2352 * -28\nAnswer: -6.5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10.98, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v - 53. Calculate s(-12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 14*k - 46*k + 2*k + 2160 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**3 - 81231*j**2 - 2235447 wrt j.\nAnswer: 18*j**2 - 162462*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2822753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (6 - 1) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20079 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: How many minutes are there between 8:30 AM and 1:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 401 - 371. What is the least common multiple of n and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h*h**(5\/8)*h)*h**(-1\/2)\/((h\/(h*h*h\/(h*h*(((h*h**(2\/57))\/h)\/h)\/h*h)))\/h*h))**(-50) assuming h is positive.\nAnswer: h**(104425\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -19. Suppose -7*z - s*m + 395 = -2*z, -4*m = -z + 79. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(75) + -2)*-5 + -5*(-5 + 0 + sqrt(75)))**2.\nAnswer: -2250*sqrt(3) + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(396) + (3*sqrt(396) - sqrt(396)))*-1 + sqrt(396) + sqrt(396) + sqrt(396) + 2 + 2) + 5)**2*-4.\nAnswer: -3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268564, -268574, -268584, -268594, -268604, -268614?\nAnswer: -268624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/21 - 5354*v**2\/7 - 1534494*v + 32272578\/7.\nAnswer: -2*(v - 3)*(v + 4017)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1706590041457 - -4.\nAnswer: -1706590041453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 54) + (11 - -16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 78. Let s be 3 - (2 - g\/3). Suppose 7*b - 10*b + 321 = s. What are the prime factors of b?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m + 83. Calculate the remainder when 173 is divided by z(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-110846)\/(-4104) - 27)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1637*m**2. Let l(i) = 3*i. What is l(w(y))?\nAnswer: 4911*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 5. Let f be i(0). Suppose 2*g + 2 = 3*r - 9, -f*g + r = 8. Is -2\/209 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -611455, -611453, -611449, -611443, -611435, -611425, -611413?\n\"Answer: w**2 - w - 611455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, -0.3, 18\/73, -2\/13, 2, -11\/3, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*q + 1062 = 0, -75 = -w + 4*q + 456. Does 177 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 + -356. Suppose 0 = 5*p - g + 53. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(475)*4 + sqrt(171) + 1 + -3 + -2 + 5)**2.\nAnswer: -34*sqrt(19) + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598560 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-42) - 375476\/(-3240867)\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 14, 38, 82, 152, 254, 394, 578?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 13325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 6*y + 3. What is the remainder when 59 is divided by b(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boz when three letters picked without replacement from {y: 1, b: 1, r: 2, g: 1, z: 1, o: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.589 or 198\/25?\nAnswer: 198\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/((sqrt(24)\/sqrt(2) + sqrt(12))*-3) - (4 + sqrt(80) + -1)) + 3)**2.\nAnswer: 3125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17223 + -12360?\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*l - 22*s + 41 = -525*l - 26*s, 5*l + 3*s + 22 + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 0.3. Let a = t - 5.6. Let g be -2 + -4 + (-1 - -8). What is the closest to g in a, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241053 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3413\/8256 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*i**2 - 2*c**3 + 8096*c**2*i**2 - 5*c**2*i + 2*i**2 + 63*i + 5 wrt i?\nAnswer: 8*c**3 + 16192*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 40. Let k be w(14). Suppose -k*o + 3*o + 3*v = -1363, -v = -o - 1351. Let g = o - -2261. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 320*w + 168. Let z(f) = -213*f - 113. Let r(h) = -5*g(h) - 8*z(h). Let q(p) = -8*p - 5. Calculate -64*q(j) - 5*r(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (1 + (-152)\/(-74)). Let i = -181 + 1087\/6. Sort 0.04, p, i.\nAnswer: p, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 0*z = 36 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 8 = 5*v. Let z be v\/(-5) + (-18998)\/(-5). Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.3 - -0.7. Let r = -47.982 + w. Let m = r - 0.017896. What is m rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 t when three letters picked without replacement from {t: 1, g: 5, n: 3, b: 1, v: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28872222131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52419 - 36498. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*x = -3*x + 45 - 9, 5*x - 15 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 3306*p + 3307*p = 19, 0 = -60*u - 4*p + 124 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -506, -504, -502, -500?\n\"Answer: 2*n - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*i - 76*i + 5*f + 10, -2*i - 13 = -f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 212 = -n, 2*v + 996 = 5*n + v. Let a = -198 + n. Solve -4*i + 4 = 4*c, -a*i + 1 + 1 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*k = 1459 - 10866 - 26657 for k.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1823*a + 5463. Let b be o(-3). Let n(y) = y**3 + y**2 - 1. Let w(m) = 5*m**3 + 10*m**2. Let t(s) = -4*n(s) + w(s). Give t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/150 - 2*a**4\/15 + 4*a**3\/3 - 14*a**2 + 3. Determine k so that g(k) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33029795.\nAnswer: 5, 359, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 28981*j\/5 + 7675538.\nAnswer: (j - 27590)*(j - 1391)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -2. Let k be (y\/(-5))\/(5\/25). Solve -v = -5*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28407271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q + 37. Let h(r) = 4 - 40 - 7*r + 2*r - 12*r. Let v(k) = 6*d(k) + 7*h(k). What is the first derivative of v(g) wrt g?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3\/3 + 28216*z**2\/3 - 8794844*z\/3 + 223632208 = 0.\nAnswer: -7356, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 65*f**2 + 288*f + 717. Let j be d(60). Let x be (1\/(-3) - -1)\/(-1). Which is the closest to x? (a) j (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2363 (base 8) to base 5.\nAnswer: -20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9 - 9) + -5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (42 - 26) + -21 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 0.4 (b) 2\/19 (c) 1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*z - 4*n - 19, -n = 2*z + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwwh when four letters picked without replacement from xwxhw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.66 * -2866355\nAnswer: 4758149.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -1\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 57. Calculate d(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.140982499 rounded to two decimal places?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(8\/(-1))*-14*(-23)\/1288.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 170. Calculate the greatest common divisor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 190 + 148 = -203. Put f, 328, 1 in decreasing order.\nAnswer: 328, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 + 30*s + 3 - 7. Calculate the remainder when w(1) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*a + 4. Sort -8, a, 1, 5 in increasing order.\nAnswer: -8, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 34*m**2 + 3*m + (-m - m + 3*m)*(m - 2*m + 2*m).\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 205 = -4*z + 3*g, -z + 22 = -2*g. What is the highest common factor of z and 4010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - m**3 + 0*m**3 + (0*m**2 - m**2 + 0*m**2)*(4*m - 4*m + 2*m)*(-2 + 0 - 2).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -8*i + 3*i - 19, -a = i - 1. Suppose 2*x + 20 = a*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8, 19, 1363, 1 in descending order.\nAnswer: 1363, 19, 8, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3 + 233584*r**2 - 5371218*r - 18215964 = 0.\nAnswer: -3, 26, 116769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5733 + -5742.0016. Let o = -9 - k. Round o to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 7851467.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvzy when four letters picked without replacement from {y: 4, z: 4, v: 8}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -326?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74358.09 litres in millilitres?\nAnswer: 74358090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47213281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1898111 or 1898118?\nAnswer: 1898118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30324 and 7581?\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c + h, 0 = c - 3*h + 1 + 1. Suppose -3*n - 657 + 97 = -31*n. What is the highest common divisor of n and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j + 1. Let v(h) = -1494*h + 4. Determine -4*t(b) + v(b).\nAnswer: -1446*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -0.38724, 7.5, 3\/7, -2\/3?\nAnswer: -0.38724","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -66616?\nAnswer: 2464792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.01156 and -1.267.\nAnswer: -2.27856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10287576 is divided by 791350?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75906626.\nAnswer: 2, 37953313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - (-19 - -1))\/((-6)\/22). Let t = -309\/5 + 1919\/30. Let m = b - t. What is the nearest to 2\/5 in -5\/2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -8*o - 103. What is the greatest common divisor of o and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 2001.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 32*c - 8420. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -17) + (137 - 147)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*v + 608851 - 608823 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*d - 4 - 5, -2*d + t = 3. Let p(r) be the first derivative of -2\/7*r**4 + 3\/7*r**2 + 1\/21*r**6 + d*r**5 + 4\/7*r + 8 - 4\/21*r**3. Factor p(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {k: 2, z: 2, a: 1, x: 1, l: 1, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 12699000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 233532295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*d - 2*c, -5*d = 4*c + 33 - 0. Let l(o) = -2*o**2 - 13*o - 8. Let f be l(-6). Calculate the lowest common multiple of d\/(3\/12*f) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 110. Suppose 3*u - 60 = -3*x, x = -4*x + u + 82. What is the remainder when x is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1706\/1445?\nAnswer: 1706\/1445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*j**2 - 42*j + 42*j to the form u + d*j**2 + p*j and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*w = -2*h - 153 + 68, -19*w + 4*w - 91 = -h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -979 - 4*r**3 + 979 + 5*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -20. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -31, -44\/117?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/27 and -20\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 1. Let r(i) = -i**3 - 18*i**2 - i - 14. Let f be r(-18). Suppose -3*a = f*c + 6 + 7, -11 = 2*c + 3*a. Let s(k) = -5*k + 5. Give c*s(h) + 3*z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 19 - 8*v**2 + 3*v**2 + 12*v**3 - v. Let l(n) = -6*n**3 + 3*n**2 - 10. Let y(s) = -3*h(s) - 5*l(s). What is the first derivative of y(m) wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 6}. What is prob of picking 2 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/24 + 4*x**3\/3 + x**2. Suppose u + 5*l - 24 = 0, 4*u - 2*l - 29 = 1. Calculate the lowest common multiple of u and o(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 231.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*j**5 - 30*j**5 + 21*j**5 + 2 - 2 + j**5 + (-3*j**2 + 2*j**2 - j**2)*(3*j**3 - 4*j**3 + 2*j**3) + (-3 + 3 + 3*j**3)*(-7 + 7 + 4*j**2).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*z**3 + 0*z**2 + 4*z**2 - 184*z**3 - 4*z**2.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5394890 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-147))\/((-1400)\/(-1680)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -4.8\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2 + 4*a - 528 = 0.\nAnswer: -12, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times 0.9579?\nAnswer: -60.3477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 172 (b) 2\/23 (c) -1.6 (d) 85 (e) 0.3 (f) 3 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/90 - o**4\/18 + o**3\/3 - 5*o**2\/9 - 2*o + 27. Suppose c(u) = 0. What is u?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31962 or 5876?\nAnswer: 5876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -52. Let m = 27 - l. What is the second smallest value in -0.1, -5\/4, 5, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143616090.\nAnswer: 2, 3, 5, 227, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-5 + 1 - 1)*(7 + 0 - 8)*(8*h**3 + 0*h**3 + 2*h**3).\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/10*716\/6802.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/60 - 3*f**5\/40 - 5*f**4\/8 - 17*f**3\/12 - 3*f**2\/2 + 14*f - 7. Let h(s) = 0. What is s?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68837862, 68837863, 68837864, 68837865, 68837866, 68837867?\n\"Answer: u + 68837861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31916 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10156*w - 40621. Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -54 (b) 4 (c) -0.2 (d) 10 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 20845*h - 8692650.\nAnswer: -5*(h - 3699)*(h - 470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612308 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3219 and 13431.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyvoboovymny. What is prob of picking 1 b, 1 m, 1 v, and 1 y?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -733600 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -262. Suppose -2*w + 15 = r - 41, 0 = -3*r - 2*w + 172. Calculate the greatest common factor of r and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13956680940 - 44*t - 13956680940.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2166 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1582506 and 6330024.\nAnswer: 6330024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28 = -48. Suppose -z + 4*o + f = 0, -48 - 89 = -5*z - o. Let c be (-16)\/(-72) + (-6)\/z. Solve c = -2*w + 2*n - 8, -3*n + 26 = w + 2*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*11081\nAnswer: -1108.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -351225, -702954, -1054675, -1406388, -1758093, -2109790?\n\"Answer: 4*i**2 - 351741*i + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + 187. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**4 - 22*n**3 + 3021*n - 8. Let o(v) = -6*v**4 + 23*v**3 - 3019*v + 10. Let j(g) = -4*o(g) - 5*t(g). Find the second derivative of j(f) wrt f.\nAnswer: -72*f**2 + 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10499\/8 - 1304. Calculate the common denominator of 30 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*p + 3 = 0, -2*y = -3*p + 7 - 1. Suppose y*a - 8 - 7 = 0. Calculate the remainder when -8 + 37 - -15*4\/(-12) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56916\/13 - 4378. Which is the third smallest value? (a) -0.3 (b) 1\/10 (c) -5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let b(t) = -5*t. Suppose 13 = 4*d + 5. Let c(f) = d*b(f) + 3*n(f). Let o(q) = 4*q**2. Determine o(c(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6826 - k**2 + 3*k**2 + 2*k - 242*k**4 + 6828 to the form r + c*k + q*k**2 + n*k**3 + o*k**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 7*o**6\/120 - 5*o**5\/12 - 5*o**4\/12 - 11*o**3\/6 + 93*o**2 + 2*o. Is i(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871330?\nAnswer: 2, 5, 87133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 2*j**3 - 9\/40*j**6 + 0 + 17*j**2 + 0*j**5 + 0*j**4 + 0*j. What is the derivative of g(x) wrt x?\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333221 (base 5) to base 14.\nAnswer: -438a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52047836?\nAnswer: 2, 13011959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(78)\/(2*sqrt(6)) + 0 + (sqrt(52)\/sqrt(4))**2).\nAnswer: 2*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*((-9)\/3)\/((-35)\/(-28))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 1591, 2402, 3229, 4078, 4955, 5866?\nAnswer: 6817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -16560784?\nAnswer: 16560784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1073 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u + u + (-u**2 - 2*u**2 + 5*u**2)*(u - u - 2*u) - u**3 + 3 - 3 - u**3 - 3*u**3 + u**3)*(-4 + u + 4).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/140 and 23\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/2 + 3537*l**3 - 283294*l**2 + 541839*l + 1657341\/2 = 0.\nAnswer: -1, 3, 79, 6993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -140?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161981, 166775, 171569, 176363?\n\"Answer: 4794*h + 157187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*u**4 - 3*u**3 + 3*u + 8460 wrt u?\nAnswer: -68*u**3 - 9*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 182*s - 4273. Give k(-50).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32093679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) - 30\/(-56). Let k(o) = o**3 + 7*o**2 + 7*o + 6. Suppose -5*i - 38 = -2*p, -4*i + 4*p = -2*i + 28. Let g be k(i). Is g less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 97. Let g be (-22)\/(-2*(s + 12\/8)). Is g <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 2. Let c(s) = 863*s + 6907. Let f be c(-8). Let k(y) = -2*y + 2. What is f*t(o) - 4*k(o)?\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 2*f - 5. Let x be w(-4). Let d be (1 - x\/(-54))\/(-4). Let u = 5\/27 - d. Which is the third biggest value? (a) 2\/5 (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y. Let f be j(-6). Suppose f*b - 40 = -5*b. Let m = 18 - b. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*i, -f - 2*i = -4*i. Let g = -1\/1099 - 82417\/8792. Calculate the common denominator of g and (-1111)\/88 + f + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 + 4*p + 3. Let m(c) = -c - 1. Let b(l) = -6*m(l) - 2*n(l). Find the second derivative of b(r) wrt r.\nAnswer: -84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, -5, -4, 520, 0, 5, -6 in descending order.\nAnswer: 520, 5, 0, -4, -5, -6, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8579 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 47. Let l be t(9). Let f(y) = 2131*y**3 + 15 - 53 - 8*y + 461*y**3 + 23 - y**l. Let n be f(-11). What is n rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**2\/2 + y + 4467. Let t(m) = 9*m - 1. Calculate -3*c(z) - t(z).\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 4, 2, -1081, -3 in descending order.\nAnswer: 18, 4, 2, -2, -3, -1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 5)*(-5 + 2 + 2) - 3 + 4 + 1 + (0 + 1 + 1)*(-2 + 0 + 0) + 1 - 2 + 3 + 1 - 1 - 1 + (42 + 19 - 19)*(-3 + 5 + 1))*(2*m**2 - m**2 - 2*m**2).\nAnswer: -126*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b**3 - b**2 - 59*b + 105. Let z be h(3). Suppose -2*u - 14 = -122. Calculate the greatest common factor of z and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 46*h = 114 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 8*j**3 + 1 - 3*j**2 + 0*j**2 - 2*j to i*j**2 + f*j + c*j**3 + r and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 397086326 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 - 1. Let o(i) = -3*i - 2. Let w(p) = -3*p - 3. Let a(b) = -3*o(b) + 2*w(b). Give c(a(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -162\/5?\nAnswer: -162\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b - 126 - 56. Let h = -4 - b. Solve z = -3*g - 8, 2*z - h*g - 13 = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44620\/1242 - (-46)\/621?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -695*j + 4678. Give b(7).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/169 and -5\/6409.\nAnswer: 83317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 6*u - 8. Let j be (-4 + -2)*(-6)\/9. Suppose j + 11 = -3*d. Let v(r) = 7*r**2 + 7*r - 8. Let a(i) = d*v(i) + 6*c(i). Determine a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (-39)\/(-12)*8 + 5. Let t be (-12)\/15*260\/(-8). What is the highest common divisor of t and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98048 (base 12) to base 13\nAnswer: -70355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18234392 to the power of 1\/2, to the nearest integer?\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 58, -4, -1, -9567, -3 in descending order.\nAnswer: 58, 4, -1, -3, -4, -9567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7329.\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14106410 and 8998.\nAnswer: 155170510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21677 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0074 - -0.4926. Let h(s) be the second derivative of -s**3\/6 - s. Let x be h(0). Which is the second biggest value? (a) t (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5 + 1790*b**4 + b**3 - 37*b**2 + 21*b wrt b.\nAnswer: 180*b**2 + 42960*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.981 and 1.748?\nAnswer: 17.446788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0331 - 59.7\nAnswer: -59.6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.82 * -10.163.\nAnswer: -130.28966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 17, 12\/17, 0.3 in decreasing order.\nAnswer: 17, 12\/17, 1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 times 1005?\nAnswer: -106.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 615 = -3*u + 423, 4*u - 1396 = 2*d. Calculate the remainder when u is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 8*u - 13)*(-18 + 47 + 5)*(u - u + 3*u) as p*u**2 + t + b*u and give p.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -69*p**3 + 1653*p**2 + 23532*p + 1020 = 0. Calculate p.\nAnswer: -10, -1\/23, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 38 (b) 8 (c) 7\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1860 divided by 2\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 806*w - 789*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - 3) + 3 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - h)*(-9688*h**3 + 3*h**4 + 57*h + 9688*h**3).\nAnswer: -3*h**5 - 57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494083579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0599040383 to four dps.\nAnswer: -0.0599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3314.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311003321323 - -1?\nAnswer: 311003321324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 26*k**2 - 26*k - 11. Give f(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (1 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + i + 120, -y - 5*i + 50 = 0. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3952 + 8153. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -26 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - -3.89. Let z be -6*(-1)\/14*1. What is the third biggest value in z, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1448*a**2*x**3 - 140*a**2 - 15*a*x**3 + 3*a*x - 4*x**3 + 1 wrt a.\nAnswer: 2896*x**3 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22205, 44408, 66611, 88814, 111017, 133220?\n\"Answer: 22203*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 306 - 134. Let x be t\/6 + 4\/(-6). Suppose -3*s = -0*s - x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Let x be ((-4 + 4)\/4)\/(-2). Suppose f*l + 2*k - 90 = x, -26 = -5*l + 5*k + 99. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, n: 7, h: 5}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2.3 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 759.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)**(3\/29)\/(r**(-1)*r)**5 assuming r is positive.\nAnswer: r**(3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6815\/157092 - 3\/2014. Calculate the common denominator of (-58)\/3 + (-861)\/574 and z.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 22*r - 36. Let i be l(20). Let j(m) = m**2 - 6*m + 5. Determine j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457388314?\nAnswer: 2, 47, 15504131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.11023 rounded to 2 decimal places?\nAnswer: 50.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from {o: 3, j: 5, g: 1, p: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 1259.06\nAnswer: 25181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-18)\/3)*(-21)\/24*(-8)\/(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3033 + 62*w**2 + 3033 in the form j*w**2 + s + k*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**2*l**3*o - h**2*l**3 - h**2*l**2*o**2 - 6*h**2*o - 3*l**3*o**2 + 29*l*o**2 wrt l?\nAnswer: -36*h**2*o - 6*h**2 - 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -70*h - 847. Let o be l(-16). Let a(i) = -i + 12. Let p be a(7). Suppose 2*c = p*c - o. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181072764 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -298 - -584. What is the greatest common factor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0059 + -3.9941. Let s = -6043\/15 + 403. What is the second biggest value in 0, n, -1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4166*y**2 - 24*y + 2. Let i be f(2). Suppose i + 344 = 22*o. List the prime factors of o.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 43*k = -84. Calculate the highest common divisor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004002692 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4666638 divided by -6?\nAnswer: 777773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8703 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: Let t(q) = 5*q**2. Let h(r) = 2*r + 2. Let y(v) = 3 - 3*v - 4 - v**2 - 2. Let d(b) = -3*h(b) - 2*y(b). Calculate d(t(l)).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6611189731 to the power of 1\/4, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -3301534 and -16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - eb?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 224*k**2 + 5*k + 7. What is d(1)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -186908, -373822, -560736, -747650, -934564?\n\"Answer: -186914*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000125415434 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/682 and (-11)\/3*-17*45\/(-63240).\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16) + 9563\/(-14148).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 19037494*l - 19037495.\nAnswer: (l - 19037495)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131002 (base 4) to base 5.\nAnswer: 142304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + c)*(0*c**2 + 4*c**2 + c**2) + 2*c**3 - 4*c**3 + 3*c**3 to t + d*c + y*c**3 + m*c**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -221.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.27 and -11180?\nAnswer: 11179.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbjb. Give prob of sequence bjbg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -7. Let a = r - 9. Let z = -45\/16 + 977\/336. Put 5, z, a in ascending order.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/(990\/(-569664)) + (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + 2*m**3 + 2*m**3 + (-121*m**2 + 626*m**2 + 424*m**2)*(0*m - 5*m + 8*m) to x*m + c*m**3 + f + p*m**2 and give c.\nAnswer: 2794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 17*p**2 - 6*p - 17. Let u(a) = -4*a + 26. Let c be u(3). Is 13 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1 - -18)*(-50)\/100?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 1. Let c(o) = 2*o**2 - 3*o - 3. Let b(p) = p**2 + 8*p + 3. Let x be b(-8). Let v be c(x). Let a be v\/(-4)*(-30)\/(-45). Determine n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17008145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let m be (-6)\/o*(0 + -2). Let b = m + 47. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + a - 2*a - 2*a**2)*(a**2 - a**2 - a**3).\nAnswer: -2*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178975 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10 = -3. Let w = 8 + l. Let b = w - -10. Solve r + 4*r - b = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47532\/49757 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 382 (b) -0.2 (c) 213 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12216424 (base 8) to base 10.\nAnswer: 2694420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.469868 decades in millennia?\nAnswer: 0.05469868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.5. Let w = d - 0.8. What is the biggest value in 4, 0.5, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 93*a + 2434. Let s(i) = -2*i**2 - 88*i + 2428. Let c(f) = -7*s(f) + 6*v(f). What is z in c(z) = 0?\nAnswer: -52, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -68, -220, -504, -962, -1636, -2568, -3800?\nAnswer: -5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*c + 12 = -2, 3*r - 34 = -4*c. Solve -r*p + 15 = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -56*r**2 - 20*r + 49. Let t(h) = -168*h**2 - 64*h + 150. Let n(j) = 5*t(j) - 16*z(j). Let i(m) = 5*m**2 - 3. Calculate 68*i(g) - 6*n(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 3*s + s + (-4*s + 3*s + 3*s)*(-4 - 1 + 3) + (4 - 2 + 0)*(-1974*s + 430051 - 430051 + (-5 - 2*s + 5)*(-3 + 0 + 2)) to f*s + v and give f.\nAnswer: -3949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 12*l**2 + l + 54. Let v be t(12). Calculate the greatest common factor of 2706 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 80*g - 61 - 25*g**3 - 60 - 51.\nAnswer: -25*g**3 + 80*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508661, -1017324, -1525987, -2034650?\nAnswer: -2543313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 5. Let i be n(-5). Let t be (28 - i)*3\/(-6). Let g = t - -26. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 463.8 - 463.8. What is the closest to 0.09 in -1, x, 1\/2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2. Let a(s) = 126*s. Calculate a(z(p)).\nAnswer: -882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n - 219*n + 39*n + 60*n + 55*n + 58*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204795797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*z - 34, z + 3*z - 5*a = -24. Let f = 16 + z. Suppose 4*g - 11 = f*i, -4*g + 24 - 10 = -2*i. Solve -5*b - g*x + 1 = 3, 3*x + 5 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*i - 16, 2*i = -3*i + 4*z + 7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -114950, -114951, -114946, -114929, -114894, -114835, -114746, -114621?\n\"Answer: b**3 - 3*b**2 + b - 114949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/10)\/h*h*h**(-2))\/(h**0\/h)**1)\/((h*h*h**0*h)**4\/((h**0*h)\/(h\/(h**0*h*h)))) assuming h is positive.\nAnswer: h**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, -2*k + 5*z = z - 314. Let n = k - 112. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 28*i**2 + 81*i - 110. Let j be p(25). Which is smaller: j or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2)\/(-4 - -1). Let y = 52\/87 + 2\/29. What is the closest to n in 2\/7, 0.5, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8810043*a**2 + a**3 - 17620115*a**2 + 8810072*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 1}. What is prob of picking 1 g and 2 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*c - 1 = -33, 0 = 2*n + 4*c + 2. Let i = 546\/5 - 110. Sort -0.4, i, n in decreasing order.\nAnswer: n, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 141. Let i(g) = 2*g**2 + 34*g - 17. What is the units digit of i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41952 and 1680?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.985992 rounded to two dps?\nAnswer: 137.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/20)\/(((-65)\/30)\/13) + 423428 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(2\/11)*c**(-8) assuming c is positive.\nAnswer: c**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1252756 * -4\nAnswer: 5011024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16110 - -16110.0000008809. Round a to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11 or -171?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-38)*((-9)\/54)\/((-7)\/126*9)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15079, 15189, 15301, 15415, 15531, 15649, 15769?\nAnswer: 15891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 = -10*v. Suppose 7*i + v*i = 0. Solve i = z - 4*x - 21, -3*z = -2*z - 5*x - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*u + 5 + 11, 14 = 2*q - 2*u. Suppose q + 59 = 3*b. List the prime factors of 2\/7 + 1317\/b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bb83c - -9?\nAnswer: 4bb846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 8. Calculate the smallest common multiple of 4 and i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2763, -4, -1.\nAnswer: -4, -1, 0, 2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(40)\/sqrt(8) + 1)) + (sqrt(5)*2 + 0)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 4. Let f = -2565 + 2570. Let y(o) = -8*o + 9. Determine f*w(d) + 3*y(d).\nAnswer: -4*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 116. Suppose 0 = -0*j - k*j + 536. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - 3*(sqrt(576) + sqrt(576)*-1))*-1)\/(4*(sqrt(588) - sqrt(588)*-1)).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82194044 divided by 2.\nAnswer: 41097022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 10*q**3 - 20*q**2 - 40*q.\nAnswer: 5*q*(q - 2)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.17 plus -18.39?\nAnswer: -23.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*m - 4*l, 5*m - 3*m + 9 = -5*l. Suppose -m = -4*h, 2*d + 3*h = h + 42. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 319 - 293. Calculate the greatest common factor of 1173 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, -7 in descending order.\nAnswer: 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -2*t. Solve t*s - 8 = -24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195527 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -152664*d**4 + 38*d**2 + 802*d**2 + 76330*d**4 + 1 - 125*d**2 + 76335*d**4 + 2*d as c*d**3 + w + q*d + p*d**2 + r*d**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-4))\/(-7))\/(3\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**13\/((k**1\/k*k)\/(k**2\/k)) assuming k is positive.\nAnswer: k**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:29 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 79 (c) -1 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-21227)*(-130533)\/(-3171). Let y = s - 1\/21227. Let t = y - -12662\/11627. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 240947136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27473, 27466, 27463, 27470, 27493, 27538, 27611?\n\"Answer: v**3 - 4*v**2 - 2*v + 27478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-14)\/7 - 5. Let o(f) = f**3 + 4*f**2 - 2*f - 8. Let n be o(p). Solve x + 2*x = -g + 4, n = -5*x - g + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2)**2*-3 + sqrt(7) + 4*(0 + sqrt(7)).\nAnswer: -33 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-32 - 1 - -3) + (-1 - -72)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 135, -18, 4, -5 in ascending order.\nAnswer: -18, -5, 2, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20*b**2. Let z(p) = 419*p. Calculate z(c(k)).\nAnswer: 8380*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*c + 7*c + 90, 0 = -4*c - 12. Let r be 2\/(-5)*10\/l. Is 1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v, 0 = 3*n - 2*v - 9. Solve 2*x - 20 = 5*k, 6*k - n*x = k - 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137480, -274497, -411050, -547139, -682764, -817925?\nAnswer: -952622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2940 - 2941. Which is the nearest to 3\/4? (a) -0.5 (b) -1\/4 (c) 1\/11 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4481 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 498597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165483538 a multiple of 4190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*7\/(-45 - 4). Let l = y - -11\/14. What is the third biggest value in -4, l, 0, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 28*z**2 + 161*z - 119. What is i(-33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 129950 = -25*z. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298162, 596320, 894484, 1192654, 1490830, 1789012?\nAnswer: 2087200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12035.01 decades?\nAnswer: 120350.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 3*a**2 + 4*a**2 - 9*a - 1. Suppose -5*h + 4 = -31. Calculate the remainder when b(-5) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3442284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 54755*c**4 - 547910*c**3 + 1534420*c**2 - 1315320*c = 0. What is c?\nAnswer: -10961, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66261*r**2 + 6*r - 4958298 wrt r?\nAnswer: -132522*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**7\/147 + c**6\/105 - c**5\/70 - c**4\/42 - c. Factor n(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*c + 22*c - 3 + 25*c in the form d + z*c and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19514237681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2272 or -2268?\nAnswer: -2268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019231 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*r - 62*r - 130*r in the form m + p*r and give p.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -16. Which is the closest to -2\/7? (a) -4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1358068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 64*l**3 + 48*l**3 + 43*l**3 as t*l**2 + g*l**3 + u + f*l and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*t + 4*t - 367034. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atdj when four letters picked without replacement from adtkajk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3607 - -3693. Let o = -65 - -84. Calculate the remainder when l is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 11*l + 5*l - 50.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 - 3*p - 15. Let b be g(-9). Suppose -3*x + b = -2*x - 2*r, 4*x + 5*r - 1953 = 0. List the prime factors of x.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2076 and 513442029?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1550, 1559, 1570, 1583?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 21 + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from gubbkujz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((324\/24)\/27)\/(-1 - -2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/((-22)\/(-11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = u - 175 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 + 85. Let i = 92 + p. Let n be (-42)\/98 + i\/42. Which is greater: -46 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0131904 rounded to two decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (240*f - 66*f - 8530 - 89*f - 87*f)*(1 - 1 + 2)*(1 - 2 + 3) as q*f + t and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21520177.\nAnswer: 7, 661, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-104)*24\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -38 (c) 29 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 13 = -5. Suppose -d - c*d + 81 = 0. Solve 11 = -4*r + d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -199*k - 81. Let x(m) = 149*m + 64. Let v(t) = 14*u(t) + 19*x(t). Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v**3 + 2*v**2 - 24*v + 320. Is 10 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1324174*g**3 - 2*g**2 + 1000835*g - 1?\nAnswer: -7945044*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 194 times 856099\nAnswer: 166083206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 13*i - 95. Is i greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00839 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22. Let c = 0 + i. Let v(w) = 0*w - w - w + c*w. Let p(m) = -14*m**2. Give v(p(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10650, 10675, 10726, 10809, 10930, 11095, 11310?\n\"Answer: f**3 + 7*f**2 - 3*f + 10645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*f**5 - 2785*f**4 + 567550*f**3 - 4145525*f**2 + 9320910*f - 6555240 = 0. What is f?\nAnswer: -417, 3\/2, 2, 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1772900 divided by 354580\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6861.053ms?\nAnswer: 6861053000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/6)\/((216080\/(-120))\/(-146)).\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -2 + 39\/(-13). Differentiate -7*s**2 - 174*s - 7 + j + 174*s wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485247 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 - 11*w**4\/2 + 9*w**3\/2 + 7*w**2 - 4*w = 0.\nAnswer: -1, 0, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68932.4 - -68932. Let q = -4 + 2. What is the nearest to 13\/2 in q, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.57 + -40.43. Let s = d - -40.92. Let l = -0.02 + s. What is the third smallest value in -6, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 4.46 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 36.232\nAnswer: 144.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*20\/18*(1071\/105 - 15).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 202, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 0*i**6 - 3*i + 0*i**5 - 4 + 0*i**3 + 1\/14*i**7 + 0*i**4 + 0*i**2. Let n(g) be the first derivative of b(g). Factor n(v).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -13 - (20 - 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 26*s - 62 = 6*m + 46, 0 = 3*m - 3*s + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 189 (c) -3 (d) -5 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-36) - (2 + 87\/(-4)). Is o\/(-8) + (-14294)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Let l be 0*(t + 1 + 2). Solve -4*z + 3*z = 5*s + 2, l = -4*s - z - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/(-2) + -2. Let l be (1 - 13\/2)*-2. Let r = 16 - l. Sort i, -5, r in increasing order.\nAnswer: -5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*g*t**3*v + 5*g*v*z + 24*g*z**3 + 2*g - 234696*t**2*z**3 + 452*v*z + 3*z**3 + 2 wrt t?\nAnswer: 18*g*t**2*v - 469392*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258158 or 258156?\nAnswer: 258156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 6*l**3 + 27*l**2 - 54*l.\nAnswer: -3*l*(l - 3)*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.14?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5359*s + 134744. Give v(-25).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 17. Let b(p) be the first derivative of p**4\/4 + 8*p**3\/3 + 5*p**2 + 7*p + 6. Is b(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/45 - (-64)\/36. Let d(s) be the first derivative of -7*s - 3 + 1\/2*s**q. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93967187737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 93 - 39e?\nAnswer: -30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - -14 - (1 - 31). Let b be i\/(-8) - (-6)\/24. Let w be ((-3)\/(-4))\/(b\/(-24)). Is w less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 4*f. Suppose 0 = -f*d - 0*d + 30. Suppose 2*z + 3*v - 41 = 0, 0 = v - 3*v - d. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.7 + 253.3. Let r = -311.0000694 + i. What is r rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/3 (c) 0 (d) 0.2 (e) 4\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 6*b - 7. Let p be h(7). Suppose 0 = -2*i - p*i - x + 9, 10 = i - 5*x. Let j(f) = 5*f - 7. Calculate the remainder when j(6) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 37\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 332, 324, -5 in descending order.\nAnswer: 332, 324, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 times 0.4?\nAnswer: -428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 283849001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5337 - 2052. What is y rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330 - -15441?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51295 - 51291. Suppose 3\/8*y**v + 21\/8*y**3 + 9\/4 + 51\/8*y + 51\/8*y**2 = 0. What is y?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 46 - 46 - 3*s**2 as x*s**3 + b + u*s**2 + w*s and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**6*t*t**(-14)*(t\/t**(-1))**24 assuming t is positive.\nAnswer: t**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 - 2. Let v be (510\/(-765))\/(100\/12 + -2). Sort v, -4, c, 1\/14 in increasing order.\nAnswer: -4, v, 1\/14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2, 5.\nAnswer: -48, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*18\/(-15). Let r(g) = 5*g**3 - 7*g - 17. Let h(d) = 3*d**3 - 3*d - 8. Let n(a) = i*r(a) - 7*h(a). What is the derivative of n(z) wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1985204 divided by 13\nAnswer: 152708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*n = -0*g - 9, 0 = 3*n + 6. Let m(t) = t - 7. Let w be m(4). What is the nearest to g in w, -2\/5, -2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1082 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4171 - -0.12853.\nAnswer: 4171.12853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 5:06 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12264 + -12263.95381. Round x to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 13*r + 30. Give n(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 3 (b) -2897 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - -0.05. Let q = -4.1 - o. Sort 2, 0.1, q in descending order.\nAnswer: 2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 12. Suppose -2*m + 76 = 3*b, w*m - 52 = -2*b + m. Factor -50*f**2 + b + 54*f**2 + 32*f + 40.\nAnswer: 4*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -45. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25)*27*((-2520)\/(-54))\/(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 490321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2403 - 2402.7. What is the biggest value in 1, -55, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.933788 millilitres?\nAnswer: 0.001933788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*m*t + k*m - 21*k + m*t + 186*m + 8*t wrt m.\nAnswer: -2*k*t + k + t + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1, -4\/5, 5, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 215*j**2. Let z(h) = 9*h + 2. Let s(m) = -13*m - 3. Let b(w) = 2*s(w) + 3*z(w). Calculate b(r(i)).\nAnswer: 215*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 198243*b**3 + 16673841*b**2 - 17268555*b - 33744150 = 0. Calculate b.\nAnswer: -85, -1, 2, 66165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -29. What is the nearest to -0.3 in p, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u = 2*b + 132*u, 3*b - u + 7 = -0*u + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*h - 4*o, 2*o = 4*h + 3*o - 39. Suppose 1501 - 1528 = -9*t. Suppose 13 = 3*k + 4*f, 5*k = t*f + 3 + h. Solve 0 = -r - k*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -890330, -890277, -890224, -890171, -890118?\nAnswer: -890065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.24924 - 4.406. Round p to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*i - 11, -i + 0 - 14 = 5*f. Suppose 4*a = -i + 61. What is the remainder when 3\/(83\/(-43) - -2) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from wnwwnw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 - 3*w**2 - 2*w + 2. Let i be l(-2). Let a = 1 - i. Let r = 44 - a. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/11 + 34*s**3\/11 - 2*s**2\/11 - 34*s\/11 = 0. Calculate s.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8\/(-20) + 104\/10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(65\/52 + (-3)\/2). Let -i*v**2 - 1\/4*v**3 + 1\/4*v + 1\/4 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)\/(4\/76). Let j = v - 75. Let w = j + 183. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976785299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467*f + 2464*f - 4937*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/8)\/((-14)\/14)*2\/(-40)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1975, 1973, 1971, 1969, 1967?\n\"Answer: -2*w + 1977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10146\/(2 - -4))\/(0 + -1). Let g = -746 - a. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from drhhhrcrxhdhdn.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2856)\/(-10) + 2\/5. Suppose 2*i + 28 = u - 2*i, 0 = 5*u + 5*i - 240. Let q be -2*(-568)\/u - 2\/(-11). Calculate the highest common divisor of q and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + -95 + (-7 - -1 - (-21 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 60*j**2 + 1\/84*j**7 + 11\/48*j**6 + 0*j**5 + 0*j**3 + 0*j + 0*j**4 + 0. Factor w(p).\nAnswer: 5*p**3*(p + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 9*x - 8. Suppose 21 = b - 14. Suppose -o + b = 5*h, 3*o + 4 = 5*h - 31. What are the prime factors of i(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 248755.\nAnswer: -995020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from uurxxuxxuuxrurx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1577 - 6050?\nAnswer: -7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2*y**2 + 2*y + 3. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*(-4)\/24*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and 79\/372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 7)*(6*b**4 - 7*b**4 + 18*b**4) to s*b + p*b**4 + t*b**2 + z*b**3 + f and give p.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + p - 1. Suppose -h - 7 = -4. Determine v(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 46*x**2 - 40*x**2 + 135*x**2 - 49*x**2.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbhbgfhfgffbhbfeg. Give prob of picking 1 f, 1 e, and 2 g.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/52*1012\/759.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, k: 1, o: 4, l: 2, d: 6, m: 3}. Give prob of sequence mnkd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2469081*0.05.\nAnswer: 123454.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1321 + 963.3. Round a to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235808 divided by -3\nAnswer: 235808\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 8*a. Let j(x) be the first derivative of 1\/45*x**6 - 1\/30*x**4 + 2\/45*x**3 + 0*x**2 + a*x - 13 - 2\/75*x**5. Find m such that j(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 69. Suppose 0 = 3*i - 6. Suppose i*s = 4*s - 8. Sort g, s, 5 in ascending order.\nAnswer: g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 14*q - 99 + 101 = 127, 0 = -4*h + 5*q - 62 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 7 - 15. Suppose 6*z = y*z. Suppose -j + z*j = -12. Solve 0 = -0*u - 3*u, 4*n - 3*u = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*j**2*r**2*w - 18*j**2*r*w + 256*j*r**2*w + j - 3*r**2 + 4*w wrt j?\nAnswer: 324*r**2*w - 36*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44060? (a) -9 (b) -0.4 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 454225939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -910, -1220, -1440, -1570, -1610, -1560?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhupuhhphhpuph. Give prob of sequence uup.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 173398096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201957 is divided by 2266?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9500456081 + -0.26\nAnswer: -9500456081.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 5*4\/(-4). Let w(h) be the first derivative of 5*h**2 + 10*h - 7*h**2 - 3*h**3 + 4 + 2*h**t. Find the first derivative of w(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/226499 and -45\/1976.\nAnswer: 1811992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2 + 48\/12. Suppose 9*c = -w + 4*c + 10252, 2*w + p*c - 20499 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 4*u + 320 + 780, -2*h + 162 = 2*u. Sort 1, 2, 3, h in descending order.\nAnswer: h, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-768)\/2464*1183\/507\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 80233.57 and -2863592.\nAnswer: -2783358.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 15*i**2 + 15*i + 19. Let b be d(-14). Suppose v + 118 = b*f, 3*f + f + 5*v = 77. Suppose -8 = 5*w - f. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12065, -24145, -36235, -48341, -60469, -72625?\nAnswer: -84815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -6*s + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27*n**3 - 39*n**2 + 27*n. Let m(w) be the first derivative of -7*w**4\/4 + 10*w**3\/3 - 7*w**2\/2 + 7. Let g(c) = -15*m(c) - 4*p(c). Factor g(d).\nAnswer: -3*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - -3 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -31537 = -8577699\/272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-10) - (-382096)\/130 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4))\/(j**(-2\/5)*j)*(j\/(j**5\/j)*j)\/(j\/(j**4*j)))**(19\/3) assuming j is positive.\nAnswer: j**(608\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*y. Let n(h) = -h. Let l(u) = u. Suppose 0 = -5*c - 25, -3*m + 59 = c + 76. What is m*l(b) + y*n(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 3. Let k be s(4). Let j = 19 + -7. Suppose y + 3*y = j. Solve -l = -y - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*o*x*z + 151*o*x - 6505*o*z - 38*x + 6 with respect to z.\nAnswer: -22*o*x - 6505*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 2. Let o be q(3). Suppose z - o = -6. Let u(t) = t**2. Give u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 557, 621, 687, 755, 825?\n\"Answer: i**2 + 61*i + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose 0 = -k*d + d + 3. Let q = -1 - -8. Solve q = 2*o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 156*l**3 + 317*l**2 - 177*l**2 - 439*l**2 - 1419*l**2 - 153*l**3 in the form h*l**3 + c*l + t*l**2 + i and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*r - 3480 = 738*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-36)\/(-32)) + 12 + -14. Let j = -0.019 + -5.981. Which is the third smallest value? (a) -2 (b) 1 (c) j (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 44 = -3*h + s, s = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4448581925 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-192) + (-20)\/((-9360)\/(-18993))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -41. Let z = 22 + q. Suppose -4*r - a = 2*a - 643, 2*a - 795 = -z*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -9, 0 in descending order.\nAnswer: 1, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13742 and 1986942038.\nAnswer: 13742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1659715, -3319260, -4978793, -6638308, -8297799?\n\"Answer: p**3 - 1659552*p - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 43250*s**2 + 23390913*s + 3182686416 = 0. What is s?\nAnswer: -42704, -273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l + 8. Suppose t - 2*t + 28 = 3*j, -4*t + 16 = 0. What is the highest common factor of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 5*y + 5. Let j(c) be the second derivative of 0 - 1\/2*c**3 + 0*c**4 - 4*c + 3\/2*c**2 - 1\/10*c**5. What is 3*i(r) - 5*j(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvjv. What is prob of sequence vv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y**2 + 14*y**2 + 14*y**2 in the form l*y**2 + a*y + n and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*m + 18*m - 11*m.\nAnswer: 176*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 413 (base 14) to base 12\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q - 65 = -79*q. Suppose -5*f = b + 26, 7*b + f = 2*b - 10. Let v(y) = -22*y**3 + y**2 + y + 1. Calculate the remainder when v(b) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -32. Let v = 38.26 + w. Let c = -0.26014 + v. Round c to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -225*u + 75. Let s(r) = -r + 1. Let b(k) = -h(k) + 75*s(k). Let p(m) = -2*m**2. What is b(p(j))?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, i: 1, y: 2, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -1\/3, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258098 is divided by 86000?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10710522*-0.1.\nAnswer: 0.010710522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 9*v**2 + v - 7. Let r = 17 - 8. Let g be s(r). Suppose 7 = g*t + 3. Put 0.4, -4, t, -5 in ascending order.\nAnswer: -5, -4, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -72?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 9:00 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -19*l + 572. Give q(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 141 (b) 2\/45 (c) 2\/7 (d) 3 (e) -2\/13 (f) 2\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 221*w + 662. Calculate t(-218).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6289, 25001, 56189, 99853, 155993, 224609, 305701?\n\"Answer: 6238*s**2 - 2*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 + 4.70297?\nAnswer: 230.70297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 24 = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2371 - 21?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(2\/21)*a))*(a**(1\/24)\/a)\/a)\/((a**(-3\/5)\/a)\/(a*a*a*a*((a\/a**(14\/11))\/a)\/a)) assuming a is positive.\nAnswer: a**(22769\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2 + 47. Let q(j) = j - 50. Let g(d) = 6*d - 275. Let z(t) = -2*g(t) + 11*q(t). Calculate z(o(b)).\nAnswer: -11*b**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 22 = -46. Let x be (s + -1)\/(12\/(-48)). Calculate the greatest common factor of x and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d + 4*q + 1, 4*d - 4*q = 8. Suppose 0 = 15*p - 13*p + d. Sort p, 2, 1 in descending order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose m*c = -l + 8, 2 + 10 = 4*c. Let y(z) = 0*z**2 - 14 + z**l + 14. Let w(a) = -a**2. What is y(w(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-248)\/(-2821)*903\/2064.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/17 + 828*j\/17 - 5760 = 0.\nAnswer: -510, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = 8. Let w = a - -20. Suppose -10 = -z + w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617000080 a multiple of 1241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k - 3*g - 38483 = -51*k, 3*g = 5*k - 27487. What are the prime factors of k?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15637 - -15647. Solve -38*m = -o*m + 196 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f - 24. Suppose 4*w + w = 3*s + 4, 27 = s + 4*w. Let r be 3010002\/s + f\/(-42). Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(33)\/(sqrt(11) - 3*sqrt(1584)) + (sqrt(18)\/sqrt(3))\/sqrt(2) + -2 + sqrt(3) + -1 + -5.\nAnswer: -7 + 69*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 608 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104 and 2066?\nAnswer: 1140432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 9*z**2 + 13*z. Let h be i(10). Let p be (-19)\/h - 7\/(-14). What is the smallest value in -1, 5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138962408 to the nearest integer?\nAnswer: 11788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 + x**2 + x. Let u be a(-1). Let z(w) = -w + 1. Let y be z(-4). What is the second derivative of 2*l + 2*l**u - 3*l**y + 3*l**5 wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33*3*(-2)\/(-18). Let n = -20 + u. Let d = -4 - n. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 2)*(-d - 2*d - d) + d + d + 0*d)*(-1 - 2 + 4) + 44*d + 17*d + 19*d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5524)\/(-2349081)*(-1)\/(-4)*14?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122 in -5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/1 + (1215\/16 - 8\/(1280\/(-10)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(1*(sqrt(1872) + -1) + 5 + (sqrt(1872) + sqrt(1872)*1 - sqrt(1872)) - ((sqrt(1872) - (1 + sqrt(1872) + sqrt(1872) + 3)) + 1)))**2.\nAnswer: 4968*sqrt(13) + 152161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**2\/2 + 112. Let u(a) = -85*a - 13. What is u(b(o))?\nAnswer: 85*o - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 13*t + 10. Let w be u(9). Let z(m) = -2*m**3 - 13*m**2 - 9*m - 4. What is the lowest common multiple of z(-6) and (-44)\/w*25\/(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 13.89. Let y = q - 2.11. Which is the third biggest value? (a) y (b) 2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -111 - 2808*v - 2819*v + 5629*v. Let t(x) = 3*x. Give g(t(c)).\nAnswer: 6*c - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19072, -38145, -57218, -76291, -95364, -114437?\nAnswer: -133510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(2 - -2) + -8)*(-3600)\/5940\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-21) + ((-11716)\/(-7) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 287*m**4\/6 + 3967*m**3\/3 + 5654*m. Find the second derivative of h(y) wrt y.\nAnswer: 1148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(0 + 2 - 4 + (-1 + 5 - 2)*(1 - 4 + 1) + 3 - 4 - 2)*(-4*m + 2*m + m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**2*t**2 - 38*k**2*t - 9*k*t + 2*t**2 wrt t.\nAnswer: 8*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:57 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1638882203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 1\/3, 0.11, -3, -2708?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {y: 4, m: 1, b: 1, o: 1, p: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133.99781 + -134. Round t to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 74827\/15?\nAnswer: 74827\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1053548*y**3 + 31*y**2 - 302564008 with respect to y.\nAnswer: -3160644*y**2 + 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10095535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.2005?\nAnswer: 0.0802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2090\/66 + -4*1. Let b = 6879 + -41365\/6. Let d = m + b. Calculate the common denominator of d and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117\/22 + 741\/220. Let r be 5\/(-15) + 3789398\/584520. Let n = r + 2\/4871. What is the common denominator of x and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245733458?\nAnswer: 2, 122866729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = -2*g, -m + 6*m = -2*g + 23. Let r(u) = 0*u - 12 + u + 5 + m + u**2. Calculate the lowest common multiple of 11 and r(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114243.\nAnswer: 3, 113, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -79, -104, -127, -148, -167?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2577 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -1053, -3482, -8153, -15798, -27149, -42938, -63897?\nAnswer: -90758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(2 - 0)*(-41)\/41. Calculate the highest common divisor of 2748 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzl when three letters picked without replacement from {z: 1, c: 5, l: 1, k: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -15540 and -15540 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 15*v - 73. Determine i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 9*t - 9. Let y be z(-7). Suppose 0*o - 3*o + 4*d = -9, y*o + 14 = -3*d. Put 0, -5, o in descending order.\nAnswer: 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (2 + -2*sqrt(1872))))**2.\nAnswer: -192*sqrt(13) + 29956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526.2 + -612. Let x = a + 77. Let o = x + 8.6. What is the closest to -1\/2 in o, 2, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106052700 divided by 780\nAnswer: -135965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -153. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(1539) - (1*sqrt(1539) - sqrt(1539))))*-6)**2 + -1 + (sqrt(684)*1 + (sqrt(684) + 2)**2)*6.\nAnswer: 3420*sqrt(19) + 60431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 4 (c) 1408 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 10)\/(0 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20889 + -20887. Solve -k = 3*c + 9, 38*c - 35*c = w*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 2, o: 1}. Give prob of picking 2 h and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/4 + 236505*q**3\/2 - 9337266*q**2 - 236505*q\/2 + 37349067\/4 = 0.\nAnswer: -1, 1, 79, 157591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.7555 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - o**2 - 2*o**3 - o - 7 + 2*o**2 - 2*o**2. Let c = 8 - 13. Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 6. Let y = p + -14. What is the closest to -1 in y, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 7814*p**2\/9 - 7820*p\/9 - 15632\/9.\nAnswer: 2*(p - 2)*(p + 1)*(p + 3908)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 33*y**2 - 179*y + 1178. Give k(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - 4.65. Let v = -0.05 + m. Which is the biggest value? (a) -1 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4467*l**2 + 16*l + 32. Is a(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1092*z + 1123*z - 465 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -24*i + 13. Let a = 9007 + -9005. Give g(a).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -4403?\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - -1a9bee?\nAnswer: 1a9ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -540461 (base 8) to base 12\nAnswer: -88581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 228280527 to the power of 1\/2, to the nearest integer?\nAnswer: 15109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -153?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8606178, 17212367, 25818570, 34424787, 43031018, 51637263?\n\"Answer: 7*f**2 + 8606168*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (-4*sqrt(153)*1 + sqrt(153)))*-6)\/(3*2*sqrt(900)))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(-3 + 3*r**3 + 3) + 57*r**3 + 76*r - 38*r - 38*r.\nAnswer: 69*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 115*y + 269. Calculate l(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmwm when four letters picked without replacement from mmmmmmmmmmmmwwmmmmm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Solve 5*z - z - 12 = m, -x + 7 = z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1413*c. Let l(d) = 1595*d**2 + 33. Determine l(a(i)).\nAnswer: 3184527555*i**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppo when three letters picked without replacement from ocopcppppppcppp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l, l = 86*f - 78*f - 51842. List the prime factors of f.\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 6493 = -155*l + 1973 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 3. Factor -6*c + 16*c**2 - 6*c**d - 2 - 3 + 1.\nAnswer: -2*(c - 2)*(c - 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.81283705935 - 0.19.\nAnswer: -6.00283705935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 11*z**2 - 54*z + 42. Let h = -319 - -336. Does 66 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 114402*k**2 - 40*k - 9. Is r(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 + 2 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d + 1. Let c = 42 - 4. Calculate the remainder when c is divided by k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/u)**41)**(11\/4) assuming u is positive.\nAnswer: u**(451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = -4*j, -83*n = -82*n - 2*j + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13200457*i**2*z + 98319*i*z wrt i.\nAnswer: -26400914*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-16))\/(1\/(-6)). Solve 2*f + y*s - 4 = 4*f, 2*f - 5*s + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/3*b**4 + 0 - 1\/5*b**5 + 1\/15*b**6 + b**2 + b + 1\/3*b**3 + 1\/21*b**7. Factor v(y).\nAnswer: 2*(y - 1)**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 5*z - 572 = n*s, -z + 4*s = z - 232. What is the remainder when (28\/21)\/(4\/z) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -609238\nAnswer: -609279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1841704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 72083562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2810*n**2 + 40*n + 4 wrt n?\nAnswer: 5620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269 is divided by 454?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - 5) + (-11 - -14 - -24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -52, -1, 17 in decreasing order.\nAnswer: 17, -1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0) + -2 + 2. Let d(w) = 0 - w + 2 - 6*w**3 - 1. What is d(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n + 3. Suppose -4*l = 33 - 45. Let u(i) = 17*i - 5. Let o(b) = l*u(b) + 5*y(b). Let v(a) = 92*a. Calculate o(v(d)).\nAnswer: 92*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133106 - -47.\nAnswer: -133059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.509 - -12.549. Round h to one dp.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, s: 5}. What is prob of sequence ccc?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85160963691 and 5?\nAnswer: 85160963696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 763\/63 - (-2028)\/(-351)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 + 3*y + 4. Let p be i(3). Let m = -13 - p. Let g(f) = m + 4*f + 2 + 6 - 5*f. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qboqoboboovooqboooq.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389799407.\nAnswer: 2389799407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 12193 and 12193 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 495 + -467.14. Let b = i + -28. Let u = b - 0.06. Sort u, -0.5, -1.\nAnswer: -1, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from {e: 2, o: 3, f: 1, j: 2, d: 1, v: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 i when three letters picked without replacement from vuviuqiiquqitivi.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 753 and 1028598?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 43*q**6\/360 - q**5\/24 + 10*q**4\/3 - 29*q. Let k(d) be the third derivative of t(d). What are the prime factors of k(2)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50779 and 2?\nAnswer: 101558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -1681*k**5\/5 + 194*k**3\/3 - 3*k + 2545. What is the third derivative of o(r) wrt r?\nAnswer: -40344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c8 - 8?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 4. Let b be t(-3). Suppose -20*i - 18*i + 950 = 0. Calculate the highest common divisor of i and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 8 (c) -0.2 (d) 1\/13 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 24 = -4*y. Let m = y + -5. Let q(f) = -f**3 - 6*f**2 - 4*f - 19. What is the lowest common multiple of m and q(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 61 - 36 + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-8))\/((-7)\/4)*(80\/10)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4879, -5581, -6283, -6985?\n\"Answer: -702*p - 4177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 - 335*i**2 + 3235*i + 25175 = 0.\nAnswer: -5, 19, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3562 + 7206. Is 47 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a second in milliseconds?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.10215 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*b - 805, 5*b - 121*v = -122*v + 2001. Calculate the least common multiple of b and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3 + 210*z**2 + 435*z + 220 = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/294)\/((-6)\/21). Sort -4, -31\/4, u in decreasing order.\nAnswer: u, -4, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 582 = 78. Let o be (-1 - 14\/(-8))\/(18\/y). Let t be 4 - 1*o\/4 - 3. Which is the third smallest value? (a) t (b) -0.04 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 7:25 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -64, -63, -62, -61?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/(-14) + -4)*((0 - 9) + 1). Let w(m) = -14 + 8 - m**3 + 0*m**2 - 3*m**2 - 11*m + 5*m. What is w(j)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/7)\/y))\/(y**(1\/18)\/y))**(-25\/3) assuming y is positive.\nAnswer: y**(-10625\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 1.7. Let l = 0.1 + h. Let k = -6 + 5.9. What is the closest to k in l, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*d - 44 = 0, 0 = 2*d - 4 - 4. Suppose -2*k + 3*k + 62 = -4*a, w = -2*a - 2*k. Sort -0.4, a, -1\/2 in decreasing order.\nAnswer: -0.4, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*z + 114, z + 2*d + 38 = 2*z. Calculate the greatest common factor of z and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 103 - 94. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 3*x + 18. Let u be o(3). Let a = -224 - -274. Put 2, u, 4, a in descending order.\nAnswer: a, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 189.47?\nAnswer: -757.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/28)\/(5\/10). Let g = -0.02 + -0.06. Let v = g - -0.38. Which is the nearest to t? (a) v (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1173765519 + -23.\nAnswer: 1173765496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 13475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let u(o) = 46*o**2 + 5*o + 7. Let y be u(t). Suppose 0 = 4*j - 3*i + y, -j = -6*j - 3*i - 572. Round j to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 20*n + 81. Let c be f(-15). List the prime factors of -3 + 21\/9 + 160\/c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 2*r - 4. Suppose -2*t = 4*b - 20, -4 = -2*b + 3*t - 10. Suppose b*a - 5*a = -8. Let y(u) = 1. Determine a*y(q) + k(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 663056794 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 33081736.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/23982 and 89\/146415820.\nAnswer: 3074732220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isz when three letters picked without replacement from ickszkllcck?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74278*c**5 - 67310*c**2 wrt c?\nAnswer: 4456680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) -5\/7 (c) 2\/11 (d) -1\/4 (e) 2 (f) -4 (g) -51974\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 1\/10*t**5 + 0 - 1\/3*t**3 - 1\/6*t**2 + 1\/10*t**6 - 2\/9*t**4 - 3*t. Factor a(z).\nAnswer: (z - 1)*(z + 1)*(3*z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = 95*j - 56*j - 4371. Suppose 5*z + 10 = -5*k, -k - 5 - 12 = 4*z. Put z, 2, j in increasing order.\nAnswer: z, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/8077 and -25\/7555541.\nAnswer: 309777181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17108, 17107, 17106, 17105, 17104, 17103?\n\"Answer: -g + 17109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 5*h - 2*h)*(-3 + 2*h + 3)*(0 - 5 + 3).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269598?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 508, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from viivcjzjvjjjnvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 10. Let x(n) = -4*n - 6. Let j be x(s). Let b = 2758 - 2743. What is the highest common divisor of j and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6 = -5*q, -q = 7*m - 6*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u - 1. Let z be y(6). Suppose z + 3 = 2*h. Solve -12 = h*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 5*p, 7*g = 3*g + p - 16. Do g and 22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(114)*-3*-4)\/(sqrt(726) + -5*sqrt(726)*-3).\nAnswer: 3*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2, -8*f - 10 = f - 6*f + 2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62 and 1185881897604?\nAnswer: 1185881897542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35 - 101924.4.\nAnswer: -101924.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -12 + 14 + -18 + 1 + -12\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -386 and 31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*w - 4 - 2)*(3 - 3 - 11).\nAnswer: -22*w + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-80)*20\/14)\/(4\/(-42))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -68.5. Let u = 29 - l. Sort 4, -0.04, -5, u in decreasing order.\nAnswer: 4, -0.04, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*j + 1522157 + 887783, 3*j - 1807441 = -4*c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (3 - (-6)\/(-3)). Let q = 6 + l. Let w = -3 - -6. Solve -w = q*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 8*d**2 + 10*d + 11. Let k be t(-9). Let w be 3\/2 + 0 + k\/(-4). Is (w + 3 + -2)\/(4\/4306) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/18 - (-2200)\/(-1980). Which is the fourth biggest value? (a) r (b) 0 (c) 0.3 (d) -0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 5. Let q be ((-9)\/12)\/((-1)\/(-8)). Let x be w(q). Let g(b) = -x + 0 + 2 + 2*b. Calculate g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -r + 3*w, -2*r + 1 = -3*w. Let d be 8\/(r + -2 + 4). Let l = -146 - -218. What is the greatest common divisor of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 9*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98\/15 in -2, 2\/41, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/(i*i**(2\/41)) assuming i is positive.\nAnswer: i**(-125\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 42. Let d be ((-165)\/44)\/(1\/q). Suppose -2*x - 83 = 5*y - 6, -y - x - 16 = 0. Is y greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1389 and -4?\nAnswer: 0.5556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/(-56) + 8876\/32?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 1319*u + 9237. Give d(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prprrrrrrrrr. What is prob of picking 3 r?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424645 (base 9) in base 16?\nAnswer: -bf74a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.7. Let s = k + 0.7. Let p = 14.1 - 14. Is s greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782748477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -677*s - 21016. Determine a(-31).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/6)\/a**(-7))\/(a**0)**48 assuming a is positive.\nAnswer: a**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.2 (b) 2 (c) 20.3 (d) 1\/248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 171, 0.5 in increasing order.\nAnswer: -2\/3, 0.5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -975 + 925 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**3\/6 + 3*j**2 - 972*j. Let b(p) = -4*p + 17. Determine -11*a(h) + 4*b(h).\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21980 + -26769.5. What is u rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*i - 3*i - 84 = 0, -63 = -3*b + 2*i. Let z = 31 - b. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*t = -34, 5*t + 73 - 16 = 4*g. Let q(o) = -o + 8*o + g - 10*o - 5*o + o**2 - o. Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 + 5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 28. Let l = -11 - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 52 = 11 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**2 + 463*m + 262. Give i(-35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -58a?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2 + (0 - 2). Let b be (c\/(-2))\/(-2)*-4. What is the derivative of 2*g**4 - g**4 + 2*g**b - 3 - 6*g**4 wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 218.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 1. Let f be z(-5). Suppose -910*m = -899*m - 99. Solve -j + m = -f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2015 + 2019. Let v(q) = 12*q**3 + 4*q**2 - 4*q - 4. Let c(h) = -11*h**3 - 3*h**2 + 3*h + 3. Determine z*c(t) + 3*v(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 6*v + 6. Let i be (-1)\/(4 - (-21)\/(-5)). What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 + 3*p**3 + 14*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 107*w + 190. What is a(26)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*u - 337414 = 867660, 2*u = -2*o + 1205042. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -4*15\/(-12). Suppose -3*q - d*c = c - 180, -2*c - 2 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/78 and 19\/3410986?\nAnswer: 133028454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 17.9. Let v = -7633\/3 - -2544. Which is the third biggest value? (a) v (b) g (c) -2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 57915?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 <= -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11615 and 1515?\nAnswer: 34845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315809134331\/274155300 - -18\/2538475. Let m = 1151 - q. Find the common denominator of m and -161\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 16*x**2 - 38*x - 21. Let p(o) = -7*o**3 - 32*o**2 - 85*o - 42. Let c(n) = -2*p(n) + 5*s(n). Give c(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 133076649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/348 and 23\/46380?\nAnswer: 1345020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 + 15590 = 6*b. Suppose 3*w - 37 - 2696 = -3*s, 3*s - b = 3*w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a factor of 1206419654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*g - 33 = 0, -167*h - 2*g = -171*h + 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/6 + 41*r\/6 - 75 = 0. What is r?\nAnswer: -50, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402902.\nAnswer: 2, 23, 52237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 2*s + 2. Let g(v) = -11*v**2 - 4*v - 5. Give -2*g(q) - 5*w(q).\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/36*1 + -1. Let n = -9 + 6. Let k = 0.05065 - 1.05065. Which is the third smallest value? (a) k (b) j (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. Let k(v) = v**2 - v**q + v**2 + v**2. Let x(j) = -44*j - 45*j + 85*j. Determine k(x(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1837968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.5619 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(((-36)\/6)\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**3 + 51*z**2 - 42*z - 24 = 0 for z.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 867260 divided by 4\nAnswer: 216815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/7, 2, 154 in increasing order.\nAnswer: -2, -1\/7, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141737 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4528*m**3 + 4526*m**3 - 9060*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 2*b**2 - 1. Let c(x) = 6*x - 9. Let g(k) = 17*k - 24. Let n(p) = -8*c(p) + 3*g(p). Determine n(v(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14492395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 33868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*c, 20 + 22 = 5*c - 4*d. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 804\/31351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, c: 1, g: 1, s: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11023032012 (base 4) to base 16\nAnswer: -14b386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1*164\/(-246). What is the closest to t in 0.95, -3\/7, 0.3?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55863.768, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/(-10))\/(-7))\/((-6)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:32 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.394 and 3.3?\nAnswer: -1.3002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**5 - 18*s**4 + 13*s**3 - 8*s - 4. Let z(h) = h**3 + h + 1. Suppose -2*i - 5 - 37 = 0. Let w = i + 22. Let g(t) = w*d(t) + 4*z(t). Factor g(p).\nAnswer: p*(p - 2)*(p - 1)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381355 times 375?\nAnswer: 143008125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 166 - 19. Let n be (-9)\/i + (-34)\/(-14). Let q(o) = 53*o**2 - 10 - 24*o**n - 28*o**2. Calculate q(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and (-20)\/(-50) + 198\/(-4170).\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2279114, 4558189, 6837266, 9116345, 11395426?\n\"Answer: y**2 + 2279072*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1033 and -35980 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10101279 and -73\/12.\nAnswer: 40405116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 5. Sort f, -5, 1.\nAnswer: f, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -7 - (8 - -5) - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r - 181. Let u be z(39). Solve 32 = -22*a + u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7374)\/(-21) + -6 + 1\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8986.004981 - -8986. What is k rounded to four decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13)*z)\/z**(1\/4) assuming z is positive.\nAnswer: z**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*d = -228*d + 27055 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(315)*1)\/(sqrt(7) + 6*sqrt(14)\/sqrt(2)).\nAnswer: -12*sqrt(5)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:40 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**3 - 4*o**2 - 7*o. Let l(a) = -3*a**3 + 2*a**2 + 4*a. Suppose -6 = m - 2. Determine m*z(t) - 7*l(t).\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8543 is divided by 114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {d: 3, k: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 1016*l**2\/3 - 129032*l\/3.\nAnswer: -2*l*(l - 254)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*z = 125*z - 40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -25, -4, 4, 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mugn when four letters picked without replacement from ungngnujmu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146880?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 221*n**3 - 15*n + 26. Let p be q(9). What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c9014c + 3?\nAnswer: -1c90149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 133 = 217. Let z be 66\/y - (-26)\/91. Solve 2 = -z*r + 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = 59 + 137 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -0.1932597014.\nAnswer: -0.6932597014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmnffiknnmknkrnnnm. What is prob of picking 1 k and 3 r?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + k. Let w be n(-1). Let s(y) = 3*y**2 - y + 13. What is the units digit of s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 14*c**2 - 12*c - 10. Determine z(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10763*a - 2248.\nAnswer: 10763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = -3*k + 2*k, -k - 1 = m. Suppose w = -3*v + 17, 0*w + m*w - 8 = -2*v. Suppose -14 = -8*f + v*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 2, o: 1, w: 1, q: 2}. Give prob of picking 2 q and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2\/(-3)*-57. Is (y\/(-12))\/((-2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 935*q**2 + 148 wrt q?\nAnswer: 1870*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1997*n - n**2 + 0 - 259*n - 413*n + 1017*n + 1425*n + 1.\nAnswer: -n**2 + 3767*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6045 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)*(-6 + 1284\/216).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1863038 divided by 398\nAnswer: 4681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 - 4*f**2 + 4*f - 4454*f**3 - 4*f + f + 4452*f**3. Suppose 0 = 5*y - 2 - 8. Suppose y*k + 5 = -1. Give m(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20761207589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*z - 91*z**2 + 28*z**2 + 1126*z - 564*z.\nAnswer: -63*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 11 - 17. Let h be (g\/(-10))\/(-3*3\/(-45)). Solve 3*s = -5*l + 10, h*l + s - 4 = 6*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61214935\/36 - -1702630. Let r = 8843\/4 - z. Calculate the common denominator of r and 37\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570850 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 2*s - 15, 4*s - 16 = 0. Let z(b) = 2*b + 14. Let o be z(k). Put -5, -7, o in increasing order.\nAnswer: -7, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79030551.\nAnswer: 3, 26343517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 t when four letters picked without replacement from ttteeett.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Let l(d) = -d**3 - 10*d**2 - 9*d. Let s be l(-9). Suppose s = t - 0 - 10. What is the least common multiple of t and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158 + 256. Suppose -188 = -4*r - 7*g + 3*g, 2*r = -4*g + o. Let j = -57 + 87. What is the greatest common divisor of j and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2288009 divided by -21\nAnswer: -2288009\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7140212610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.057629m?\nAnswer: 57629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1972.16 years?\nAnswer: 23665.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.012 - -0.058. Let p = 11.6 + -11.529. Let t = n - p. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323250 is divided by 17468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Let n be -4*(-1)\/2 + b. Solve -t - t + 3*k = 22, 3*t + 31 = n*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 265*o**2 - 4449*o - 10. Determine j(18).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:49 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 741040 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 11*v**2 - 12*v + 12. Let y be a(-11). Suppose -7*c = -3*c - y. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -2. Let z(t) = 6*t + 2 - 7 - h. Let u(f) = f**2 + 6*f + 5. Let j be u(-4). Let c(p) = 2*p - 5. Give j*z(x) + 8*c(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q - 200*q - 3248 = 150*q - 494*q for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 3*b, -5*b + 10*b - 16 = -2*h. Put 5, h, 3, -33 in ascending order.\nAnswer: -33, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 - -5 - (-3 + 15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 y when three letters picked without replacement from nhesnnyyynyx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8686?\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/26 - ((-132)\/13)\/1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3703\/6 + -607. What is the common denominator of 95\/142 and n?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 0*y + 66. Let o(k) = -k**2 + 18*k + 12. Does 11 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x*x*x*x**5)**(-19) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -128726.0294 rounded to the nearest one thousand?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p + 1. Let y be g(1). Let i = y - -8. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**5 + 2*t**5 - 2*t**5)*(-2 - 2 + 5) - 3*t**2 + 3*t**2 - t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2738726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (1 - (-7 + 8)) + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124647775 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45071348741.9 + 0.07?\nAnswer: 45071348741.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 2*d - 12*d. Let j be (-2 - 0) + 16\/(-2). Let u = -6 - j. Solve 5*a = -2*v - d, u*a + 13 + 1 = -2*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 16 - 14 = 0. Let k be 1\/(-2) - 15\/l. Find the third derivative of -5*p**4 + 3*p**4 + 2*p**2 + 6*p**k wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4475?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64829.\nAnswer: 241, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (78\/2808)\/((-1)\/6). Which is the nearest to 24\/7? (a) -1\/7 (b) w (c) -11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(640) - (-3*sqrt(640) + sqrt(640)) - sqrt(10)).\nAnswer: sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0122853 micrometers?\nAnswer: 0.00000122853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (210\/(-15) - (-80 + 47)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756257?\nAnswer: 7, 43, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) 0.02 (c) -1361601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 679 - 420. Calculate the greatest common divisor of v and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -c - 6 = -2*b, -3*c + 2*b - 12 = -2*b. Let o(h) = h**2 + c*h**2 + r*h**2 - 4*h**2. Let k(y) = 2*y**2. Calculate k(o(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24291, -28183, -32081, -35985?\nAnswer: -39895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -2, 14, 34, 52, 62, 58, 34?\n\"Answer: -x**3 + 11*x**2 - 20*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*q - 25, 3*q - 5*d - 15 = 5*q. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a243c - -4?\nAnswer: -1a2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102012040 (base 6) to base 4\nAnswer: -12301101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b. Let y(o) = -8036*o**2. Give z(y(i)).\nAnswer: -72324*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k)**(-3\/4)\/((k**(-1\/23)\/k)\/k*(k*k\/(k\/k**(12\/11)*k))\/k*k))**(3\/43) assuming k is positive.\nAnswer: k**(3507\/87032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1236 and 2039781924.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2671 from 3.6.\nAnswer: -2667.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2996*z + 85651 = -118077 for z.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3410 - -3847. Calculate the remainder when j is divided by 211.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.87 - 11.314. What is t rounded to 1 dp?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:15 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84463859?\nAnswer: 37, 2282807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2898)\/243450)\/(36\/10335 - 0). Let r = 2\/2705 + g. Calculate the common denominator of r and 0 + 2 - (-62)\/(-28).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -15, -103, -13, -0.7, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -27*o + 6. Let x(a) = 3*a**2 - 166*a. Give p(x(w)).\nAnswer: -81*w**2 + 4482*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667388 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2, n: 3, t: 6, b: 1}. What is prob of sequence tin?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 1\/5 + (-9)\/(-5). Solve 5 = -p*t + 9*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 1.6 (c) 0 (d) 4\/7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 320. What is p(42)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -73*s + 455 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389040 and 81840?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 10*z - 860. Is z a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 1\/12*h**4 - 2\/3*h**3 + h**2 + 1\/10*h**5 + 0 + 0*h. Factor m(l).\nAnswer: 2*(l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381 + 381 - 95*r.\nAnswer: -95*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006662 to 5 decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6223 + -6223.006332. Round n to 4 decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 3:34 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*m - 594, 2*m + 340 = a - 242. Let o = -164 - m. Suppose -3*s + p + o = 0, 2*s + 2*p = 40 + 40. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 4:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbttrffttttttfrfnt. What is prob of sequence brf?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 1:27 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = -4*j, 318*p = -4*j + 314*p. Which is the second smallest value? (a) 0.223 (b) 2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 5*r**2 - 4*r + 3. Suppose -4*w = 2*u - 6, -3*u + 2 = -w - 0*w. Let f be 0 + 1 - (u + -2). List the prime factors of x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8579 millilitres in litres?\nAnswer: 0.0108579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.022 + -3.022. What is the second biggest value in -0.1, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 35, 5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = l. Let w = -1.13 + 1.13. What is the nearest to w in 3\/5, l, 5\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17*l)**4*l**(-25)\/l**(1\/5) assuming l is positive.\nAnswer: l**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 494 and 5.\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33344 - 33343.993. What is the closest to 3 in 0.5, m, -0.3, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/18 + 4324\/(-1656). Let g = -24 + 27. Which is the closest to h? (a) 5\/4 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 273, 1836, 5957, 13914, 26985, 46448, 73581, 109662?\n\"Answer: 213*f**3 + f**2 + 69*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-15\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 111. Suppose 0 = -0*o + 2*o. Suppose 2 = 2*s - o. Sort s, 3, q in increasing order.\nAnswer: q, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2077\/12471 + 1\/8314. Let g(x) be the second derivative of 26*x + 0 + k*x**4 + 0*x**2 + 0*x**3. Let d(v) = -6*v. What is g(d(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*d - 12 = 5*d, 17 = -n - 3*d. Let z(p) = p**3 + 2*p**2 + 10*p + 16. Let k be z(-2). What is the second smallest value in k, -8, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/3))\/j**(12\/7) assuming j is positive.\nAnswer: j**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64112 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.077?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1870 or -0.1?\nAnswer: 1870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.7 + 16. Let i = p + 3.7. Let g = 1\/152 + -159\/1064. Which is the biggest value? (a) 0.4 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-3 + 0 + 4). Solve -s*x + 1 + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhihhiihhihi. What is prob of sequence ihhh?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -40*f + 17*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**3\/39 + 25*z**2\/13 - 48*z\/13 + 101. Factor g(v).\nAnswer: -2*(v - 24)*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 8*j - 5. Let z be l(7). Let r(q) = -3*q**2 - 3*q**z + 4*q**2. Let o(x) be the second derivative of x**4\/6 - 22*x. What is r(o(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6*v + v - 11, 5*v = 2*n - 17. Suppose -3*g - n = -7. Let k be 2*(0 + (-1)\/(-10)). Which is the biggest value? (a) k (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 4. Let f = -4 + n. Let g = -5 + f. Which is the nearest to -1? (a) -0.4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i - i. Suppose -4*u = 0, -3*d + 4521 = -i*d + 3*u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (5 + (sqrt(1331)*2 - sqrt(1331)) + (-5 + sqrt(1331) + 2*sqrt(1331))**2)*1.\nAnswer: -319*sqrt(11) + 12015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(2\/11)*f))**(5\/7)\/(f\/(f\/(((f**(-3\/2)*f)\/f)\/f))*f*f**(-8\/3)) assuming f is positive.\nAnswer: f**(1865\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y\/(y*y**(-2\/3))*y))*y*y)**7)**(7\/10) assuming y is positive.\nAnswer: y**(343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30903 is divided by 4917?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7521 * 0.064.\nAnswer: -0.0481344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26522\/81 or 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6798532, -6798531, -6798530, -6798529?\n\"Answer: y - 6798533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2424)\/(-10))\/(-6)*(0 + -6)\/504 and 28\/1795?\nAnswer: 75390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0999848 + 0.1. Round a to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 6*j - 1. Does 15 divide t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**3 + 0*i**3 - 34*i**3)*(4*i + 1 - 1) as r*i**2 + f*i + l*i**3 + j + v*i**4 and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*g + g - 83, 4*l - 282 = -5*g. Suppose -2*n = l - 197. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*f**4 - 3*f**2 + 3*f**2)*(-f + f - 2*f).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, 0.6, 2\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 8*b - 45, -5*m - 397 + 377 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 + 727 = 125*m. Solve -12 = -m*f + 2*o, 3*f - o + 0*o = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:15 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 98*f - 2217. What is the remainder when 172 is divided by y(-62)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1374512 and -0.1.\nAnswer: 1374511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131450175 and -5.\nAnswer: -657250875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 456987*o**3 - 81275*o**2.\nAnswer: 2741922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11891 and 207.\nAnswer: 107019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - c**2 + 9*c**2 - 8*c**2 + 11*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 2*y + y + 7 + 4*y**2 - 3*y**2. Let j be l(5). Let n = 89 - j. What is n rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from fffgffgfgffffg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -10. Let p be u\/(-1)*(-4 - -9). Sort 5, p, 0 in descending order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187 = -3*r + 5*j, -2*j - 256 = -3*r + 928. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 14}. Give prob of picking 2 v.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7704 - -3?\nAnswer: 7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.011 - 530.757.\nAnswer: -530.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzkzkzi. What is prob of picking 1 k, 1 i, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(2 - 3) + 0. Suppose -r*o = 3*o - 75. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(200) + 6*-2*sqrt(200)))**2 + ((-1*sqrt(200) + -1 - (-1 + sqrt(200))*4) + -5)**2.\nAnswer: 200*sqrt(2) + 392205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36078 divided by 6?\nAnswer: -6013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46146 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 + 2*t**5 - 3*t**4 + 0*t**5 + 0*t**5 - 2*t**5 - t**5 + 3*t**5 - t**5 + (t**3 + 3*t**3 - 2*t**3)*(-2*t**2 + 2*t**2 - 2*t**2) + t**5 - 2*t**5 - t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -37850.32787.\nAnswer: 37850.72787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + 0.29. Let f = 0.3 - -3.7. Let v = 15 + -10. What is the closest to 0 in f, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7666187?\nAnswer: 103, 263, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281797\/20370 + -2\/3395. Find the common denominator of -15\/14 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37719 + 18616 = -g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.9482nm to micrometers.\nAnswer: 0.9889482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - y - 2*y + 1 - 1 + (5*y - 3*y - 4*y)*(-2 + 3 - 3) - y + y + y + 2*y + 0*y + 0*y + 3*y + 1 - 1 - 112*y + 40*y + 58*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3770 = -3*g + c - 6*c, -2*g + 2480 = -5*c. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/44*-58*(-3)\/(-12)*-2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430766613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 891323707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354633 is divided by 270849?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5705681052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j**2 + 2)*(-3*j**3 + 2*j**3 - j**3) - 142 + 5*j**2 - 87*j**5 + 142.\nAnswer: -89*j**5 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 4. Suppose j - 1 = 1. Suppose 0*k + 3*h - 14 = -j*k, 4*k - 18 = -h. Solve -2*g + k*g = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21774084968.939033 + 21774072390. Let w = z + 12579. Let n = w + -0.061. Round n to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/240*(-188)\/6 - 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -74, -83, -90?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*p = 15*p + 1071 + 1113 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.15 - -1.45. Let q = 3 + -7. Let k = 238 + -233. Which is the second smallest value? (a) q (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 3 + 3)*(-1 - 4 + 0) - 14*t - 8 - 10*t + 4 to the form v*t + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p - 17*p + 2*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 53*v**2 - 37*v + 78. Let a be g(17). Is -71 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2. Let b(y) = -4*y**2 + 9. Let h(p) = 2*p - 8. Let a be h(5). Let s(v) = a*b(v) + 9*t(v). Let m(k) = -4*k**2. Give m(s(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209)*4 - sqrt(209))*-4)\/(sqrt(11)*-3*-2*5).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 66.15. Is n greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxeeekxxbxexebkeexe. What is prob of picking 1 e and 1 b?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 25. Let v be t(11). Suppose -v = 5*h - 7*h. Suppose 33 = -h*o + 113. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20773, -20913, -21147, -21475, -21897?\nAnswer: -22413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-1 - -5)\/(-128)). Let t be ((-76)\/v)\/((-2)\/(-16)). Let w = t - -46. Solve w = 3*d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 13*n + 14. Calculate l(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570535 is divided by 785263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5865, -11282, -16591, -21798, -26909?\nAnswer: -31930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 1\/6*c**4 + 20*c**2 + 6*c + 0 + 7*c**3. Factor t(q).\nAnswer: 2*(q + 1)*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*u**3 + 61*u**3 + 29*u**3 - 210*u**3.\nAnswer: -270*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -25158*w - 25144*w - 155*w**2 - 8*w**4 + 1 + 50299*w as i*w**2 + m*w**4 + r*w + n*w**3 + x and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8882)\/(-8) + (-6)\/(-8). Suppose -3*y - 2*f + o = 122, 4*y - 1304 = f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5, -2 in decreasing order.\nAnswer: 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-768)\/(-7) - 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 164 - 13?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 41, 56, 73, 92, 113, 136?\n\"Answer: s**2 + 10*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4\/4 - 55*f**3\/4 + 45*f**2 - 45*f = 0. What is f?\nAnswer: 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Suppose 5*r + 4*f = x, 9*r = 4*r + 5*f - 35. Let w = -20 - -22. Sort w, -2, r.\nAnswer: r, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10180)\/15270)\/((-2)\/(-228))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30584*d**3*l - 333*d*l**2 - 3*l**2 + 4176*l + 978 wrt d?\nAnswer: -91752*d**2*l - 333*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 30. Let g = 17 - 12. Let h(m) = -g + 2 - 5*m + m**2 - 1. Give h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 48?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 41. Let y be ((-9)\/a)\/(2\/(-4)) + -1. Suppose -249 - 2681 = -y*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s**3 - 8*s**2 - 3 + 8*s + 4 + s**3 + 17*s**2. Let c be u(-8). Let w(o) = o - o - c + 2*o - 3*o. What is w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:21 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 203 = o. Let s(f) = -f**2 + f. Let k(n) = 30449*n**2 - 11*n - 2. Let w(p) = -k(p) - 6*s(p). Let g be w(o). Round g to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8856c (base 14) in base 15?\nAnswer: -67d3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -57, -3, -5, 0 in decreasing order.\nAnswer: 0, -3, -5, -8, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 40. Let b be i(-9). Suppose -b*w + 3104 = -371. Suppose 2*x = w + 479. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 58, 18, -58, -182, -366, -622, -962?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-32))\/((-6150)\/8200)?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/10)\/((-21)\/(-90)*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373914731 minus 0?\nAnswer: 4373914731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8022259.6 and 0.055.\nAnswer: -8022259.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:38 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-2\/5)*v))\/(v\/v**(2\/19)*v))**(5\/19)\/((v\/(v\/((v\/v**(-1)*v)\/v)))**46\/((v\/(v\/v**(-2\/15)*v))\/((v\/v**(1\/4))\/v))) assuming v is positive.\nAnswer: v**(-2014673\/21660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15461 - -15459. What is the closest to -0.034 in q, -19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from {y: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 37*f**2 - 13*f - 37. Is j(-10) 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 {i: 1, b: 1, y: 1, g: 2, m: 3, p: 4}. What is prob of picking 1 p and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 20, 5*p + 0*h = -4*h + 36. Solve 0 = a + 2*a - 2*b + 14, 2*a = -p*b + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/2 - 462*x**3 + 3600*x**2.\nAnswer: 3*x**2*(x - 300)*(x - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l + 32. Suppose 3*d - 3*w + w = -20, 4*d + l = 4*w. Let j = 62 + -61.8. What is the second smallest value in d, -5, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -47. Suppose 2*r = -3*r + u + 91, -3*r + 59 = -5*u. Let o be 4\/18 + y\/r*94. Which is the third biggest value? (a) -7 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*g + 2*g**2 + 4*g + (1 - 1 + 2*g)*(-15*g + 16*g - 9*g) + 5*g**2 + 0*g**2 - 3*g**2 in the form y + c*g + l*g**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 44, 2, 0.147, 0.4?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8)\/i*i)\/i**(-14) assuming i is positive.\nAnswer: i**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2180200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (1*(sqrt(162) + 0 + sqrt(162)*1) - (-5*(sqrt(162) - (-1 + (0 + sqrt(162) - sqrt(162)))))**2))*1.\nAnswer: -4082 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98 - -1.134. Let a = -0.15039 + l. Round a to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, 2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 7*y**2 + 5*y + 4. Let s(z) = 2*z**3 - 2. Let t(v) = -v**3 + 1. Let j(n) = -s(n) - 3*t(n). Let i(a) = -3*j(a) - k(a). Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45322.4122 * 1.\nAnswer: 45322.4122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003931185 to 7 decimal places.\nAnswer: 0.0003931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6412094 divided by 5542\nAnswer: -1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 2*m**3\/3 + 25*m**2 + 1531*m. What is a(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9218923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 divided by -6?\nAnswer: -239\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(68\/(-5))*-2?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7378*j = 7381*j + 24 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -113. Suppose -w*h = 8*h. Solve h = 5*u - 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2 and -11\/28120?\nAnswer: 28120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, 13, 5, 0.5, -6\/13, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -649199 minus -0.2?\nAnswer: -649198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -486451*z**4 - 2*z + 351942 wrt z.\nAnswer: -1945804*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 - 76*z + 238. What is x(4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) - 3\/6. Suppose -4*h - g = -6*h. Suppose -h = -m + 7. Solve 2*a - 4*k = -0*k - 8, -2*a = 5*k + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*j**3 - 5)*(-87*j**2 + 91*j**2 + 310*j**2) + (-6*j + 2*j + 2*j)*(0*j**4 - 5*j**4 + 3*j**4) + (-j + j - j**3)*(-4*j**2 + 4*j**2 - 2*j**2).\nAnswer: 948*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/66)\/(4\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -35. Is p greater than or equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1760 and 1408.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39959965 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 22*u**2 - 22*u**2 - 5 - 3*u**3 - 5*u**3. Let z(l) = -33*l**3 - 21. Calculate -21*v(x) + 5*z(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 9:35 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 128 = 5*z, 4*a - 529 = -3*z. Calculate the greatest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 12*a**2 + 12*a + 19. Suppose -4*i + 20 + 32 = 0. Let k be x(i). Calculate the highest common divisor of k and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 4 + 0 + 3*y**2 - y**2 + 9 - 3*y**2 in the form m + n*y + a*y**2 + t*y**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 21*t - 39. What is the remainder when (122 - (1 - -2)) + -2 is divided by b(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 20*m**2\/3 - 17*m.\nAnswer: -m*(m + 3)*(m + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 100 (b) 3 (c) -61279 (d) 0.1 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -812.3 + 812.18. What is the second biggest value in 98\/3, 0, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -10, 7, 40, 95, 178?\n\"Answer: b**3 - b**2 + 3*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 != -916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -224 and 0.8?\nAnswer: 224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*c + 826708339 - 200158323 = 0, 5*c = -20. Round r to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 5*o)*(o - 2*o - o) + 1 + o**2 - 1 + (-2*o + 3*o + o)*(-6*o + 3*o + 4*o))*(3*o + 2 - 2).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q**2 + 17*q - 700 + 1381 - 696 + (-4*q + q + 5*q)*(-q - 2*q + 2*q).\nAnswer: -10*q**2 + 17*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 136*l - 319. Solve 0 = -s + 4*u + l, -1 = u - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 25. What is the common denominator of (-20)\/(-1) + (-20)\/(-8) and (-6)\/15 - (-304)\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 127360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9893808 years to centuries.\nAnswer: 0.009893808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154*b**3*h**2 + 158*b**3 - 2*b**2*h**2 - 15111*b*h**2 + 2*b wrt b.\nAnswer: 924*b*h**2 + 948*b - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-36)\/10 + 4. Let n = -11\/35 - r. Let y = -25\/24 - -599\/552. Which is the second smallest value? (a) y (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/21*(-3)\/(-2). Let a(b) = -3*b**2 - 8*b + 5. Let z(h) = -h + 1. Let u(o) = k*a(o) - 5*z(o). Factor u(d).\nAnswer: -3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*27\/18 - 23\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 12*o - 1. What are the prime factors of f(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. Suppose d*c = 2 + 2. Suppose 5*u + t = c*t + 60, -2*u - 4*t = -24. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5453 and 931.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*-1*(-15)\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -0.092 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 175 and -7.53?\nAnswer: 182.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let d(j) = 13*j**2 - 22*j - 36. Let m(l) = 2*d(l) + 22*g(l). What is the first derivative of m(v) wrt v?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - 190. Suppose -n = -3*s, 3*n - n = s. Let i(p) = s*p + p - 2*p. Let x(k) = 1. Determine m*x(t) + i(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7596.5 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let o(y) = 2*y**3 + 3*y + 10. Let x(c) = 3*f(c) + o(c). Let j be x(5). Find the third derivative of j*q**4 - 236*q**4 - 11*q**2 - 10*q**2 wrt q.\nAnswer: 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 2. Let n(t) be the third derivative of t**5\/10 + t**3\/6 + 3*t**2. Let v be n(1). Give l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-1 - -2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 + 9.34.\nAnswer: 9.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 i when three letters picked without replacement from {q: 4, i: 1, s: 4, o: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q, 12*q = -4*u + 8*q + 8. Let g = -12 + 9. Sort g, 4, u in descending order.\nAnswer: 4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2. Let s = 15 + -22. Let r = -7 - s. Calculate f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -764, 4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 157. Let o = -134.758 + n. Round o to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148.91 and -0.143.\nAnswer: -21.29413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134594\/29 - 4642. Let k = w + 158\/261. Which is greater: 0.3 or k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 - -460?\nAnswer: 463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w + 100. Calculate i(-4).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/21 and (4\/(-6))\/(36\/134).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2\/9 (c) 0.5 (d) 17 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/9, 0.5, -1.7, -1, -3, 2\/1303, -25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 25. Let x = 2\/17 - 60\/221. Which is the nearest to 1\/5? (a) -1 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31292 - -31283. Suppose 1 = -l - 4. Sort -4, -3, f, l in ascending order.\nAnswer: f, l, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*x + 27*x - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o + 9. Suppose 4 = 3*a - o. Solve 4*s - a*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26141957 or 26141956?\nAnswer: 26141956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(65\/(-10660)*-41)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 11283?\nAnswer: 11263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {z: 2, b: 4, v: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -289277000 to the nearest 1000000.\nAnswer: -289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/8 - 5\/(-20). Is v not equal to -19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-8)\/(-180)*465. Solve -6*x + b = 8 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 1 - 15*d - 2.\nAnswer: -15*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 96\/28)*(16 - 702\/36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*10\/4*579\/7720*16\/(-5).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173107.\nAnswer: 13, 90239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmummtttbomutt. Give prob of sequence bom.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19*b - 22. Let t(m) = 2*m - 4. Give c(o) - 6*t(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5020, -5013, -5002, -4987, -4968, -4945?\nAnswer: -4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*v**2 - 29*v**2 - 16*v**5 + 4*v**5 wrt v.\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2052 and 26?\nAnswer: 26676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 20810768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:23 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 12050500600 to the nearest one million.\nAnswer: 12051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1248 and -5.\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0 + 18*m**2 - m**3 + 0*m**4 + 0*m + 2\/15*m**5. Differentiate b(k) with respect to k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862*m + 24498855 = -55*m - 54*m. Is 150 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2200, 2308, 2416?\n\"Answer: 108*f + 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26489458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 21\/505, 21\/2?\nAnswer: 21\/505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/(-777))\/(17\/(-3570)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 10:08 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j - 6. Let t be u(6). Suppose -17 = -4*l + c - 3, 0 = -2*l + 2*c + 10. Suppose t*f - l = -f. Solve -p + f*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 49, -1\/7, -2, 0.011911 in ascending order.\nAnswer: -2, -1\/7, 0.011911, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*h = 10 + 1, -2*h + 9 = w. Is 2\/(w - -3) + 90 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = s, 3*i = -4*s - 4*s + 38. Find the third derivative of 6*k**4 - 2*k**4 + 0*k**2 + 20*k**s + 9*k**4 + 255*k**2 wrt k.\nAnswer: 792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5210.2973 to the nearest 10.\nAnswer: 5210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g - 3*n + 234, 4*n = 2*g - 128. Sort 2\/9, 1, 3, g.\nAnswer: 2\/9, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106852, -106853, -106852, -106849, -106844?\n\"Answer: r**2 - 4*r - 106849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -61 - 35. Calculate the least common multiple of 12 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 - -27. Let j be -1*3\/s*-4. Which is the nearest to 4? (a) 2 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18333 - 2.022\nAnswer: -18335.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.904 to 2 dps.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 2*z**2 + 3*z + 9. Let h be o(4). Let c = 2 + -1. Is (h*c)\/((-11)\/77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(637)*-1*6 + -4*(sqrt(637) + -1 - sqrt(637)))**2.\nAnswer: -22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*s - v - v, -4*s - 5*v = -25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/182*20\/(-40)*28\/(-10).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 - 116*f**2 + 56*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 592*s**2. Let w(p) = -6*p**2 + 40206. Give w(b(m)).\nAnswer: -2102784*m**4 + 40206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - -1. Suppose 2*f = -10 + k. Suppose -a + 3*a = 2*v, -3*a + f = -2*v. Solve 20 = g + v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {c: 2, f: 1, i: 11, m: 1, o: 1}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 331*j**3*m*y**2 - 5*j**3*y**3 + 595*j**2*m**2*y**3 - 3*j**2*m*y**2 - 11*m**2 - 2*y**3 wrt y.\nAnswer: -30*j**3 + 3570*j**2*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*s + 2163. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c = 39*c + 162. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -50. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.52 (b) -5\/103 (c) 7 (d) -0.4 (e) -0.02 (f) 5 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 7*t + 5 - 4*t + 0*t**2. Let b be s(4). Let d(p) = -p**3 + p**2 + 1. What is the units digit of d(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61836 = 16*g - 28*g. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6565360 - 0.01.\nAnswer: -6565360.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o - 100*o + 5*l = -32, 3*o + 2*l = -20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15 + 201\/(-15)*-1. Suppose y + y - 2 = 0. Let a(q) = 26*q. Let r be a(y). What is the highest common divisor of r and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = c, -c + 9*m - 4*m = -3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.677359 millimeters to kilometers.\nAnswer: 0.000009677359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038596 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/35 + (-8)\/14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 293, -910, -2913, -5716, -9319, -13722, -18925?\n\"Answer: -400*i**2 - 3*i + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -476*w + 18382. Is 35 a factor of n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let q(n) be the third derivative of -9*n**5\/20 + 280*n**2. Give q(k(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 118*s**3 + 23*s**3 - 1577*s**2.\nAnswer: -91*s**3 - 1577*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*c - 5*s, 160*c + 5*s = 162*c + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (31 + -36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.036 from 17698.\nAnswer: 17697.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = 23. Let c be ((-270)\/88 - -3)*s. Sort c, 4, -0.4.\nAnswer: -0.4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsssduussss. Give prob of sequence sss.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k - 12 = 85*k - 2*x, -k = x - 3 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*w = 11*w + 1462 + 167. Solve -w*z + 5*z = 4, -2*k - 4*z = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75334025 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = -20*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2905\/2 - -1451. What is the nearest to -0.1 in -5, -0.7, 6, y?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3 - 45. Let o(j) = 8*j - j - 2*j**2 - 5 + 3*j**2 + 3*j + 2*j. Let i be o(l). Let z(w) = -6*w - 8. Let u(v) = 7*v + 9. What is i*u(k) - 6*z(k)?\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 527 + 4?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -86\/5, 2, 5, -4, 0.1, 30\/157 in descending order.\nAnswer: 5, 2, 30\/157, 0.1, -4, -86\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62489 is divided by 194?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*z - 22, -9*x + 15 = -6*x + 3*z. Let q(y) be the first derivative of -y**3\/3 + y**2\/2 + 14*y - 1. Let i be q(0). Solve -3*o = -i - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*l = -3*l - 11, 4*g + l = 16. Let a = -6 - -33. Calculate the highest common divisor of g and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 7*o)*(-9 - 5*o + 3 + 3) + (-1 + 2 - 3)*(-o + 4*o**2 + o).\nAnswer: -43*o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4153454 - 2413454. What is d rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.4427 micrometers to centimeters.\nAnswer: 0.01614427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-15)\/10 + 2). Let f be 0 + n\/3 + (-52678)\/(-6). Round f to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/(x**7*x))**(-7) assuming x is positive.\nAnswer: x**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1260 and 0.0754033793?\nAnswer: 1259.9245966207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = 0. Suppose -u + 116 + 39 = i. List the prime factors of u\/4 + 1\/4.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.2372 to 1 dp.\nAnswer: -103.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7828+-0.157\nAnswer: -7828.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6360 - 4495. What are the prime factors of b?\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 - 10*u**2 + 7*u**2)*(u + u**2 - u) + (u - 1 + 1)*(4*u**3 - 3*u**3 - 3*u**3) to m*u + f + q*u**4 + n*u**3 + t*u**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8862.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -18. What is the greatest common divisor of 48 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 22. Let h = -1532 + 1543. What is i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1 + 4 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0877 to 3 decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1638101 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -22*b + 342. Calculate n(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*y - 507*f**3 - 42*f**2*y - 7*f + 461*y wrt y?\nAnswer: -f**3 - 42*f**2 + 461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1081 + 1388 = -119*b + 803 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118353 is divided by 59041?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69099641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-450)*(5\/1 - 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let i = -779\/21 - -110\/3. Which is the third smallest value? (a) y (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28938 - -994. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 15. Suppose -h*b = -7*b + 44. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3232 (b) 3\/20 (c) 3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2. Let f(w) be the first derivative of -11*w**3\/3 + 7. Calculate x(f(u)).\nAnswer: -242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 3*g - 23 = 3*u, -2*g - 3 = -u. Calculate the remainder when 29 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 9*(26 + (-680)\/30)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 2, 1, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80724.59ml?\nAnswer: 80.72459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 29557.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n - 10*n - 13*n - 2*n**2 + 219.\nAnswer: -2*n**2 + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*v - 423 = 0, 0 = 4*q - 0*v + 2*v - 354. Let a = q + -46. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaaatwwtawwwawtaa. Give prob of sequence ww.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 + c. Let q(k) = -44*k**3 + 36*k**2 + 36*k. Calculate -2*q(g) + 72*z(g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose 1 + 11 = u*p. Suppose 0 = -p*x + 18 + 147. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -254, -419, -580, -707, -770, -739, -584?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**7*b)\/b**11)\/(b*b*(b**(-5\/3)*b)\/b*b**(-2\/3)))**(2\/101) assuming b is positive.\nAnswer: b**(-16\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 1:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 676015181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 204.\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s + 291*s + 39585 = 40266 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 7940*a + 7943*a + 21, 5*a = 6*g - 28 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2601032973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (34 + -21 + (3 - 9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-46907)\/231)\/((-20)\/6). Let w = 724\/11 - b. Find the common denominator of w and -22\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3438.91275 rounded to the nearest ten?\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1713, 18 in descending order.\nAnswer: 1713, 18, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-13)\/(-17) + -3 and 1043\/294 + (-1)\/(-6)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 7 - 12) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 9 = r - 4*d, 4*d = 5*r - 29. Let t be 5 - (r + -8 + 5 + -1). Solve -2*x - t*o - 4 = -0*x, 3*x = 2*o + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7618, 7622, 7628, 7636, 7646, 7658, 7672?\nAnswer: 7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 0.4248.\nAnswer: -6.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -76, -102?\n\"Answer: -26*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 35*x - 10. Let f = -63 - -51. Let k be z(f). Solve 2 = -i - 3*m, -i - i + k*m = 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 1. Let j(f) = 19*f**2 - 108*f + 4. Give j(d) + 4*p(d).\nAnswer: 3*d**2 - 108*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192399178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*42\/(-1197)*-38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -14896942?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64440 divided by 4.\nAnswer: -16110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 585, -0.205, 1?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 618, 3, 4, -7 in decreasing order.\nAnswer: 618, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 0.1 (c) -0.03 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-8))\/(2*(-21)\/(-28)). Let g = 418 - 419. Put 1, -7, z, g in descending order.\nAnswer: 1, z, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 30783 + 30783. Let q(u) be the first derivative of -2\/3*u**3 + 0*u + 1 + 0*u**2. What is a(q(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2 - 0) + -2. Let l(z) = z**2 - 3*z + 3. Let y be l(2). Let k be 4\/14 - 32\/14. Which is the nearest to y? (a) 0.5 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-50)\/8)\/(-5). Let b be 3666 - -4 - (0 - 0). Suppose 5 = -5*a - 10, d*h - b = -5*a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(7\/22 + 6\/33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from ftnntttftftztft?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n - 60 = -52 - 388 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a factor of 304484591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x + 16 = 0, 4*x + 52 = -u. Let j be 40*(u\/(-20) - 3). Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53507*v**3 + 16135660*v**2?\nAnswer: -321042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811611 is divided by 236.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 75, 34, -95, -342?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 177*x**2 + 1. What is the remainder when f(1) is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -108*q**3 - 2*q**2 - 4*q. Let x be v(3). Let o = x + 4131. Suppose 0 = 2*i - o - 615. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 9*i - 11. Let u = -20527 - -20529. Let x(t) be the third derivative of 0*t + 0 - 1\/6*t**3 - 20*t**u - 1\/24*t**4. Determine 2*f(q) - 22*x(q).\nAnswer: -2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20*n - 528. Let m be v(-26). Let w(s) be the third derivative of s**4\/24 + s**3\/6 - 15*s**2. Give w(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/(-114) - 494\/96 and -45\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**5 - 1 + 1)*(-4 + 0 + 0) + 5*w**5 - 2*w**5 - w**5.\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2792*o + 2805*o. Solve 2*a - 85 + 89 = -5*c, o = 5*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -57, -81, -93, -87, -57?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.9 + 18.3. What is the nearest to 0.002 in q, 12, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.37492 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -327279 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*v**2 + 54*v**2 - 193*v**2 + 25*v**2 + 38*v**2 + 51*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -2. Let l(h) = -h**2 - 5*h - 5. Let g be l(-3). Which is the third smallest value? (a) 6 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/47161611 and 58\/33.\nAnswer: 518777721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**3 + l**2 + l - 1. Let w be y(-2). Let x be (8\/(-10))\/((-13)\/w). Suppose x*u + 5*s = s + 64, 3*u = -5*s + 40. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**3 - 7*a**2 - 8*a - 21. Let u(i) = -3*i**3 + 2*i**2 + 2*i + 5. Let f(g) = -2*s(g) - 9*u(g). What is the units digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p. Let j be k(1). Let q(c) = 3*c**2 + j - c - 5*c**2 + c**2. What is the units digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*8\/280)\/(132\/(-28)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 132. Let j be t(29). What is the greatest common factor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297796 = -19*u + 297834. What is the nearest to 0 in 5, -1.18, u?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adkdddddpdddpadkpad. Give prob of picking 1 k and 1 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 24 = -8*x + 21. Solve -31 = 2*p + 3*p + x*f, -8 = -4*p + 5*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118107 and 1062963?\nAnswer: 1062963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -3*h. Suppose 6*s - 2*m = 11*s - 391, -2*s - h*m + 166 = 0. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28076490 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 14*w**2 + 32*w + 4. Let j be m(-16). Let d = 2 - 1. What is the third biggest value in d, j, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143956 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - 40*w + 35. Let m be h(-14). Let k(x) = 3*x - 19. Let d be k(m). Solve 0 = -d*g - 7 + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 337088 and 6.\nAnswer: 1011264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-28.7.\nAnswer: 5.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -18. Suppose a = -18*g + 13*g + 140. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) - 38\/(-14). Let g(y) = 2*y - 4. Let h be g(r). Suppose 3*s - s = -5*o + 16, 5*s = 15. Calculate the greatest common factor of o and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4761 + 9019 - 2*y - 5373.\nAnswer: -2*y - 1115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76.6 - 71. Let u = d + -5.5999977. Round u to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4, 40*c = -k + 37*c - 61. Let p be 4\/(-1 + -1) + -46. Is p < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 2}. Give prob of sequence xe.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.61 + 19.8. Round h to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 18051748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 - 3*j + 2*j**3 + 2*j**3 - j**3 + 2*j - 2 to f*j**2 + y*j**4 + a*j**3 + h*j + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -30) + -10 - (10 + -1) - (-205 - -55)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3190 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z + 4*i, z + 2*i + 3*i = 14. What is the highest common factor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(k\/(k*k**(6\/7))))**(6\/17)\/((k**2*k**(-6)\/k)\/(k**(4\/3)\/(k*(k**(1\/10)\/k)\/k))) assuming k is positive.\nAnswer: k**(35723\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - b + 1. Let j(z) = -10*z**2 + 2*z - 2. Let u(a) = 2*j(a) + 7*n(a). Give u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.219 * -2.\nAnswer: -0.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1587.942.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.333818 rounded to 0 decimal places?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 3, 30\/571?\nAnswer: 30\/571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 11. What is the common denominator of -33\/4 and v\/22 + (-54)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 5*h - 267, 5*h + 141 = 2*s. Suppose s = 7*v - 147. Solve v = 5*w - b, 3*w = 3*b + 41 - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -0.4 (c) -1\/5 (d) -0.03 (e) 3 (f) -155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-2 + 22\/10). Let v = 4.03 - 0.03. Let t = -55 + 52. What is the nearest to p in t, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 + 3788712*l - 1196194884912 = 0.\nAnswer: 631452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 149 - 3?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/6, -4, -5 in ascending order.\nAnswer: -5, -4, -1, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2 - -109) + 0. Let v(y) = 5*y**2 - 167*y + 168. Let g be v(1). What is the greatest common factor of g and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - w + 12 = 19*j, -5*j = 4*w - 4. Let c = -8 + 12. Solve q + 3*q = 4*h - c, -5*q + 13 = j*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 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: Suppose t + 157117 = 2*c, t + 235676 = -19*c + 22*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 1683 + 1683.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 471619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 8*g + 8. Let m be q(-2). Differentiate -148*w + 26 - 18*w**2 + 70 - w**m + 148*w with respect to w.\nAnswer: -4*w**3 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-4 - (-10 + 11 + -18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 414.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 9*v - 4*v to w*v + f and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2964 + 2993.26. Let r = 14 - 43. Let y = r + s. Round y to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12. Let b = 18\/227 + -17061\/454. Calculate the common denominator of (64\/5 - 1)*d and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from ftppppbtu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 - 4*x. Let d(h) = -h**3 + 7*h**2 - 5*h. Suppose 3*u = 24 - 12. Give u*d(c) - 5*p(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2492 or 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 123 + -157 - -146.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + (-88)\/24. Which is the second biggest value? (a) 5 (b) r (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:56 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -6, -5, -4.\nAnswer: -6, -5, -4, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3163\/61 - -179955\/793. Let z = y - 175. Let m = 3 - 4. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -5\/2*v**2 - 5*v + 1\/3*v**3 + 9 + 1\/4*v**4. Is u(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 3*p + 8*p**2. Let s be i(-1). Let u(k) = -k**3 + 7*k**2 + 7*k + 8. Let g be u(s). Put -3, g, -2 in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528 is divided by 838.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6365 plus 37?\nAnswer: -6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 2*u - 0*c + 2*c, -846 = -5*u + 2*c. Let b = u + -170. Solve b*t + t = 5*h, 5*h = -t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(10)\/sqrt(2))*-3 + -2.\nAnswer: 3*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79\/2 of a decade?\nAnswer: 4740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let b(o) = -2212*o + 15483. Let v be b(7). Let w(d) = 5*d**2 + 3*d - 2. Determine v*g(k) + w(k).\nAnswer: 5*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 1, z: 1, o: 1, j: 1, i: 2}. Give prob of sequence zsii.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((4\/(-14))\/(-2)). Suppose 3*a - 116 = k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*(1*(sqrt(13) + (sqrt(13) - sqrt(13)*-1)) + sqrt(13) - (sqrt(13) + sqrt(1053) + 1 + sqrt(1053))))**2 + -4).\nAnswer: -280872 - 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/8)\/j*j**8)\/(j**(2\/5))**(1\/6)*((j\/j**2)**(-5\/12))**(6\/13) assuming j is positive.\nAnswer: j**(10531\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -733237 - 2479616. Let t = c + 10576087. Suppose 23436766 = -q - t. Round q to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3119 + -2146. Calculate the remainder when j is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395764741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 3. Suppose -32*s - 176*s + 524 = -516. Let x(f) = f + 2. Give s*x(l) + 3*a(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 + 20*r + 5. Let g be w(-8). Calculate the highest common factor of g and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67+176.9\nAnswer: 243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6599, 6642, 6685, 6728, 6771, 6814?\nAnswer: 6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43160 is divided by 53.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/7 + 322268*m\/7 - 1289104\/7 = 0. Calculate m.\nAnswer: -161138, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 + (-4563)\/261 + 5 and 97\/580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.03 + -0.03. Let g = -23.7 - -21. Which is the third smallest value? (a) 5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5794025500 to the nearest 1000000.\nAnswer: -5794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2429 - -2427. Let y(n) = -31 + 33 + 0*n + 4*n + 0*n. What is y(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*z**3 + 34*z**3 - z**2 + 2 - 89*z**3 - 4*z + 27*z**3 - 1 to n + c*z + p*z**2 + x*z**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-2 + sqrt(72) + sqrt(72) + -2) + 2*(sqrt(72) + 2)*-2 + 2)**2.\nAnswer: -1872*sqrt(2) + 3272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let v(f) = 10*f - 11. Let a(p) = 10*p - 12. Let z(w) = -6*a(w) + 7*v(w). Let b(q) = 5*q - 3. Let n(r) = 5*b(r) - 3*z(r). What is n(m(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149*r**3 + 121564*r - 121552*r - 1450 - 2838 wrt r.\nAnswer: -447*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75 or -83?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 316*c**4 + 265*c**4 + 2*c - 22*c**2 + 11*c**2 + 10*c**2 - 3 to the form b + g*c**4 + v*c**2 + s*c**3 + y*c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 447304 divided by 2431?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d)\/(d\/d**(-4)))\/(d**(1\/9)\/(((d\/d**11)\/d)\/d)) assuming d is positive.\nAnswer: d**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + a - 3*a + 5 = 0, 0 = -a - 2. Let c(b) = -2*b - 4. Let q be c(n). Suppose -6*o + 84 = -q*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = d - 3, 2*g - d + 13 - 14 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 3454025?\nAnswer: 5526440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7))**(-42))**(-4\/25)*((y\/(y**(-2\/5)\/y))**50)**15 assuming y is positive.\nAnswer: y**(45216\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1067 divided by -5\nAnswer: -1067\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -1. Let b be f\/(-4) + 20 + -2. Suppose -u = 4*g - 0*g - b, -u = 5*g - 19. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505 smaller than 4505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efmmselclem. What is prob of picking 1 c, 1 s, 1 l, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 30*v - 65. Let y be t(3). Let x = -21 + y. Sort 106, -2, x in ascending order.\nAnswer: -2, x, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (189 + -1 + 0)*16\/32. Let i = -845\/9 + x. Sort 5, -4, i, 0 in descending order.\nAnswer: 5, i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p = -25075 + 23632 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = 29*h + 18. Let d = -4 - h. Suppose -4*r + 1 = 5*a + 11, 0 = d*r + 3*a + 6. Solve r = z + 2 + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.06 (c) -4 (d) -1 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 16 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 4*x + 41 - 36 - 2*x**2. Let y(l) = l**2 - 1. Calculate s(c) + 4*y(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7865.637 millilitres in litres?\nAnswer: 7.865637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4127 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48197 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/3525*21\/((-945)\/45).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.319 + -6.319. Suppose 0 = -4*f - d - 4, -4*d - 6 + 4 = 2*f. What is the smallest value in u, f, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 3*i, -5*a + 5*i - 19 = 4*i. Let c(s) = -s**2 + 3*s + 3. Let b(p) = 2*p**2 - 7*p - 7. Calculate a*b(y) - 7*c(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:32 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 335119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:54 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10375\/3, 2\/81, -0.1, 1 in increasing order.\nAnswer: -10375\/3, -0.1, 2\/81, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let s = -0.179 - -0.079. Which is the closest to s? (a) t (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14)\/(-9*3\/(-18)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -713787 - 10?\nAnswer: -713807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 6*d. Suppose s - 5*s = -20. Let a(t) = t**2 + 9*t. Let q(z) = s*a(z) + 8*y(z). Determine o so that q(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 + -107. What is the greatest common factor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 1. Let u(i) be the first derivative of 8*i**4 - 12*i**3 - 36*i + 1739. Give -144*b(q) - 4*u(q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from boooooobbocooooccoo?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and 15*15\/2700 - (-121)\/(-1884)?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m - 2*m)*(197*m**2 - 286*m**2 + 154*m**2) to k + s*m**2 + z*m**3 + h*m and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.4 - 899.3?\nAnswer: -868.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*k + 1 - 9, -2*k = 5*u + 40. Let d(o) be the second derivative of -2*o**3\/3 + o**2 - o. List the prime factors of d(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.05 millilitres in litres?\nAnswer: 1.61805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/2, -2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)\/((-12)\/(-48)). Suppose 0 = 3*q - t*s + 50, 0*s + 10 = 2*s. Let j be (-48)\/40 + (-4)\/q. What is the nearest to 4 in -3, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.638215 nanograms?\nAnswer: 0.000009638215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = 2*v. Let p be (-1)\/3 + (-4)\/(-12). Suppose 2*n = -p*n - 4. Sort -4, n, v.\nAnswer: v, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 466 = 5*n. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 3*u, 0*g = 2*u - g - 5. Put u, 37, 2 in descending order.\nAnswer: 37, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169.8 + 169.80438. What is b rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u = 48*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(-1 + -1 + sqrt(11)) + 2 + -4*(sqrt(11) - (sqrt(11) + -1)))**2.\nAnswer: -80*sqrt(11) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = -4*j. Suppose -i = 3 - 1. Suppose -3245*u = -3246*u + 8, -18 = 3*h - 3*u. Sort i, j, h, -4 in descending order.\nAnswer: h, i, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 + 289966340.\nAnswer: 289966355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7432c (base 14) in base 3?\nAnswer: 112020210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6\/5)*u**(-2))\/((u\/(u\/u**(-1))*u*u)\/u)**(4\/7))**7 assuming u is positive.\nAnswer: u**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 32*o - 223. Let w be y(-21). Let u = 17 - 9. Let s = 8 + u. What is the highest common factor of s and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 920 and 483731860.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8558767.29 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y - 56*y - 3*y.\nAnswer: -122*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*a**6 + 3*a**3*c**2 + a**2*c**2 - 5558*c**2 wrt a.\nAnswer: 25200*a**3 + 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7928\/(-80) - 1 - (-15)\/(-1500)*-10\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by 26.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 462533 or -283?\nAnswer: 462533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 3*k + (2*k + 0 + 0)*(0 + 2 - 3))*(4*k**2 - 2*k**2 + k**2).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/2 + 3*l - 120 = 0. What is l?\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v*(v\/v**(-8))\/v*(v*v**7\/v)\/(v*v**(-2\/3)\/v) assuming v is positive.\nAnswer: v**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 5*m**2 + 5*m - 2. Let v be u(4). Let z = 2 - v. Suppose -2*w - 2*o = -18, o = -z*o + 4. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2301420 (base 9) to base 2\nAnswer: -100101111000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230000 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*w**2 - 1988*w**2 + 992*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20275905 and 810?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 3*k - 3*k + 0*k + 2*k**3 in the form r*k**2 + z + f*k**3 + h*k and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 21*h**4 - 34*h**4 + 16*h**4 + 10*h - 22 as c*h**2 + w + f*h**3 + r*h + b*h**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 5, e: 5}. What is prob of sequence md?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -5491?\nAnswer: -291023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, 1, -1313, 4.\nAnswer: -1313, -3, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - f + 53 = -2*f, 2*m + 5*f = 7. Let w = 17 - m. What is the remainder when w\/(((-14)\/52)\/(-7)) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 825*v**2 + 5*v + 3. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0609 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 100*o**2 + 2*o - 109. Give m(50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 619 - 435. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2863607787505\/136396104 + -5\/5683171. Let a = 20999 + p. Find the common denominator of a and 145\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 375 = -4*o, -3*o + u + 99 = -4*o. Let s = o + 90. Find the common denominator of 52\/3 and 3\/(-54)*(-801)\/s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:58 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9\/4 (b) 120 (c) -0.4 (d) -4 (e) -5 (f) -0.3 (g) -15.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-252)\/(-936))*((-1344)\/182)\/16\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3250*d**3 + 99*d**4 - 3250*d**3 + (-2*d**3 + 2*d**3 + d**3)*(-4*d + 4*d - d) - 9*d - 2*d**2 - 12*d**4 + 9*d.\nAnswer: 86*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -40.99999999. Round d to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - 1 - -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 371501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j**3 - 15*j**3 - 44*j**3 - 10*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + c - 23 + 47.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9038, 72197, 243622, 577445, 1127798, 1948813?\n\"Answer: 9022*z**3 + z**2 + 2*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 341065640*t + 7270360674288100 = 0. Calculate t.\nAnswer: -42633205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 14768\nAnswer: -1\/7384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 90*t**2 + 49*t + 58. Determine x(-3).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56981 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2435\/4 + 608. What is the third biggest value in 1, -23, g?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/2 + 9*h**3\/2 + h**2\/2 - 9*h\/2 = 0 for h.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 3. Let c(u) = 7*u - 5. Let k(g) = -3*c(g) + 5*f(g). Let b(p) = -1690*p**2 + 3415*p**2 - 1715*p**2. Determine k(b(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 2, q: 1, x: 1}. What is prob of picking 1 q, 1 z, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 18002.\nAnswer: -7\/18002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017487529 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*z = 6*r + 15, -3*r - 5 = 4*z. Let v = -7.2 - -8.2. Which is the nearest to v? (a) r (b) -2\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f**(-3\/4)\/f*f))\/(f**(2\/13)*f**(-2\/17)) assuming f is positive.\nAnswer: f**(-253\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaa when three letters picked without replacement from {y: 1, x: 3, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuusssbubuusu. Give prob of sequence bss.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 14, 4, 0, -12, -2 in descending order.\nAnswer: 29, 14, 4, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (9 - (-2 + -26 + 57)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 24003413?\nAnswer: -24003410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t - t. Let p be 4*(-1 - 1) - -7. What is the smallest value in t, p, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 4*l + 4. Let d = 1 - -2. Let c(t) = 6*t**2 + 4 - 1 + d*t - 5*t**2. Let x = 3 + -6. Calculate x*u(b) + 4*c(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20751, 20817, 20883, 20949, 21015?\nAnswer: 21081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*p**2 + 23855 - 7*p**3 - 23855 - 5*p**4 wrt p?\nAnswer: -120*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zccc when four letters picked without replacement from {z: 3, g: 1, k: 3, m: 1, c: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1258 - -5.125855786. Round m to 6 decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 7*t - 10. What is the units digit of i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-224)*38\/(-6) + 5\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4)*(-4 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(4\/11))\/(z**(-37)*z*z)*z**0*z*z**31)**44 assuming z is positive.\nAnswer: z**2976","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((5 + 14 - 13) + (1 - 8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/35*20*-1. Solve -9*v + 4*v + 18 = p*x, -5*v = -2*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 41. Let i = -48 - -145\/3. Let o be 4\/(-6) + (-5)\/(-15) + 1. What is the fourth biggest value in i, o, 4, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (0 + -3 + -5 - (-48 + -5))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34603 is divided by 17277?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.64 - -24.36. Let r = s - 28. Which is the third biggest value? (a) -2\/3 (b) r (c) -2\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17*c. Let y(a) be the third derivative of a**4\/2 + 3640*a**2. Calculate h(y(u)).\nAnswer: -204*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + j - 4 = 0, -11*j + 8*j + 1 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.5, 311\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 168*d**3 - 6*d**2 + 6*d - 43. Let z(v) = -v**3 - 2*v**2 + v - 2. Let n(l) = -x(l) + 3*z(l). Find the second derivative of n(j) wrt j.\nAnswer: -1026*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237436 is divided by 237426?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 150963906304?\nAnswer: -150963906304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/134415 and 37\/2430.\nAnswer: 7258410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/87)))\/(((w*w**(-1\/6)*w)\/w)\/w))\/(w**(2\/41))**41 assuming w is positive.\nAnswer: w**(-323\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/5)\/((-24)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97492?\nAnswer: 2, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75163141 and 15757.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304487?\nAnswer: 17, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35032 and 16?\nAnswer: 70064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (1 - (11 + -2)). Let t(r) = -r**3 - r**2 + r - 5. Let l be t(0). Let f = l - a. What is the greatest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0253 and -3867.\nAnswer: -97.8351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 g when four letters picked without replacement from {g: 3, v: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 591d6?\nAnswer: -591d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5443, -5291, -5139, -4987, -4835, -4683?\n\"Answer: 152*p - 5595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let r be (9\/6)\/(1\/(-2)). Let h be z(r). Solve -h*v = -3*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 102*k\/7 - 936\/7.\nAnswer: -2*(k + 12)*(k + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 3 - 2*z**2 + 2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -25\/30919 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or 7\/2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -310*l. Let u(j) = 2282*j - 1. Determine u(k(s)).\nAnswer: -707420*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -17. Let i = 22 + c. Suppose 3*n = 4*v - v + 165, -i*v = -15. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 87*k. Let w(z) = -86*z - 1. Let r(j) = 2*u(j) + 3*w(j). Let h be r(2). Is 1 + -3 + h\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97008130 divided by -1\nAnswer: 97008130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 5?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -564 - -796. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4783661 and -2?\nAnswer: 4783659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Suppose 4*z + 2*a = 3*z - 3, -2*z = a + d. Let w = 5 + z. Solve -w*n - 10 = -2*q, 0 = 4*n - 3*q + 5*q + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*d**4 + (-4*d**2 + 5*d**2 - 3*d**2)*(3*d**2 + 2*d**2 - 3*d**2) + 2*d**4 + 3*d**4 - 4*d**4 - 6*d**4 + 7*d**4 + 26*d**4.\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/(-56) - (-88)\/(-77). What is the closest to -2\/79 in w, 0.4, 15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34983153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 3*l = 16*t - 27, -3*l = 4*t + 8. What is the hundreds digit of 1*401*(t - (-1 - 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 209803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -4233772.\nAnswer: -4233771.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((sqrt(500) + -2 - sqrt(500) - sqrt(500)) + -1) - -2*(sqrt(500) + -2 + -1))**2.\nAnswer: 6300*sqrt(5) + 122905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s. Let x(z) = -3 + s*z + 1 + z + 4. What is x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150.5 - 151. Let w = -0.8 + -4.2. Let d = 3.29 + 0.71. Which is the third smallest value? (a) w (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 bigger than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -283, -1, -4 in decreasing order.\nAnswer: -1, -4, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + (-9825)\/162. Let s = l - 122467\/216. Let d = -628 - s. Find the common denominator of -87\/10 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*v**2 - 3369*v - 362602 wrt v?\nAnswer: -146*v - 3369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 148744.\nAnswer: 297488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 16) to base 3\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 16, f: 4}. Give prob of sequence fl.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1880 (b) -5 (c) -1 (d) -28 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45802a (base 13) to base 2.\nAnswer: 110010001110000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -687*f**6 - 339*f**4 + 723721*f**2 - 2?\nAnswer: -82440*f**3 - 8136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 2*l - l + l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18837793.\nAnswer: 13, 1449061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -105. Suppose 0 = -12*b + c*b + 9. Let h = -14 + 10. Sort h, b, -8 in descending order.\nAnswer: b, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358302032.\nAnswer: 2, 11, 2035807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33976?\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzxx when four letters picked without replacement from xxxz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -20, 4 in decreasing order.\nAnswer: 4, -20, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 251823, 251783, 251723, 251649, 251567, 251483?\n\"Answer: k**3 - 16*k**2 + k + 251837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = -8*f - 5*l, l + 4 = 0. Suppose f*n + 2*v + 848 = 4*n, 0 = 2*n - 5*v - 854. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22 - 24)*2\/4. Suppose -a + 3*v = -2*v - 10, -a = 5*v + 30. Let l be 42\/11 + a + 6. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*t = 533*t - 477 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/16365 or -1?\nAnswer: -23\/16365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + -133 - (-1 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**3 - 2*y**3 + (-2*y - 3*y + 4*y)*(-2*y + 2*y + 2*y)*(864676 + 0*y - 863636 + 4*y).\nAnswer: -10*y**3 - 2080*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135\/143 + -2034577\/2155296. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 54171.\nAnswer: 2\/54171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1090*b**2 - 1165*b. Give c(1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 2*n**2\/3 - 11*n\/3 - 4.\nAnswer: (n - 3)*(n + 1)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -9. Suppose r = l + 3*w - 5, -5*l = -3*w - 19. Suppose -4*q = l*t - 9, -2*t + 24 = 2*t - q. Calculate the smallest common multiple of 9 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose 2*k = -3*x + 5, a*k - k = -2*x. Suppose i - 5 = k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 546*j = 4*z + 551*j - 93, z = 4*j - 87 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 325*o**2 + 6*o + 3. Let i(a) = -650*a**2 - 10*a - 5. Give -3*i(x) - 5*k(x).\nAnswer: 325*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(-12)\/(-210)*(0 + 10\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/34)\/(3\/6). Which is the third biggest value? (a) 1\/4 (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2928.71 - 2930. What is n rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:12 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.817515ml?\nAnswer: 0.000817515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 + c - 3. Let w be f(-6). Let l = w - -11. Find the third derivative of -5*n - 6*n**l + n**4 + 5*n wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9241*0.57\nAnswer: 0.526737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 2. Let z be 2\/(2\/(-3)) - 1. Determine y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22033 and 65483.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57.78595 and -0.09.\nAnswer: 57.69595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - r - 2. Let z be q(-1). Suppose 4*l - k = -2*k - 9, 2*k = -2. Let c be l + z + 1 + 0. Is c bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a686 (base 11) in base 9?\nAnswer: -21340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**5\/55 + 7*j**4\/11 - 98*j**3\/33 - 33. Factor f(k).\nAnswer: -2*k**2*(k - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4347.34 to the nearest 10.\nAnswer: -4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 + 4*j**2 + 4*j - 15. Let o(r) = 6*r**3 + 3*r**2 + 3*r - 13. What is -3*n(f) + 4*o(f)?\nAnswer: 3*f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 2*b - 1. Let i be w(-3). Let p be ((-7)\/(-3))\/((-14)\/(-42)). Put -3, i, p in descending order.\nAnswer: p, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 151*s**4 + 384 - 35*s**4 + 150*s**3 + 2*s**5 - 26*s**4 - 544*s - 56*s**4 - 26*s**2 = 0. What is s?\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.059 - -280.111. Round h to zero decimal places.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y**5*y assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*v - 4*m, 7*v - m = 4*v - 41. Let i(f) = -f**3 - 11*f**2 - 8*f + 19. Let w be i(-10). Is v at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2619518 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 94\/24 + (-11)\/(-132). Calculate the highest common divisor of 101 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 157, 35, 0 in ascending order.\nAnswer: -2, 0, 35, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.4. Let v = 49.976 - 146.976. Which is the third biggest value? (a) t (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88842 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 13 + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 - 4*i - 6. Suppose 5*r = -0*h - 4*h + 609, r = -4*h + 109. Let x = 121 - r. Determine w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 35. Suppose 0 = -0*a + k*a - 831. Suppose a - 81 = 4*t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + 1 + -26 - -7)*(-7)\/1 - -51\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 3*o**4\/4 + 29*o**3\/2 + 99*o**2 - 10*o - 30. Factor f(n).\nAnswer: 3*(n + 6)*(3*n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 13) to base 2\nAnswer: 10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 - 275. Let a = 0.4 + 0.6. Put 8, x, a, 6 in descending order.\nAnswer: 8, 6, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.972 - -0.028. Let h = i - 42. What is the smallest value in 0, 6, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24930 and 397442370?\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 44 - 98 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 577425.4 micrograms?\nAnswer: 577425400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10528\/564)\/(84\/441).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 1006?\nAnswer: -60.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 3806176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -0.04\nAnswer: -30.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 48*c - 1. Let j(o) = -o**3 + 4*o - 3. Let p be j(2). Let m = p + 4. Is u(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/46 - (2 - (1 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1473783\/5 or -43?\nAnswer: 1473783\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:41 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -265*f**2. Let b(u) = -157*u**2. Determine y(b(m)).\nAnswer: -6531985*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 273*o**2 - 148*o**2 - 153*o**2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 5:02 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let p = c - 4.00004. What is p rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 1978.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.639999651 + 6.64. What is q rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 63 = -12*o. Calculate the greatest common divisor of 28 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64\/557, 490, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -148 and -1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -6*u + 3*u. Suppose r + 2*n - 1 = 6, 2*n - 13 = r. Let c(x) = -x**3 - x**2 + 2*x + 4. Calculate the least common multiple of u and c(r).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/17 (b) 20 (c) -3 (d) 0 (e) 0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-10))\/((-37)\/(-185)). Suppose -1551 = -6*g + 3*g + k*a, 5*a = -3*g + 1527. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-9)\/((-1332)\/(-8))). Suppose 2*q - 172 = -4*v, 3*q = 2*v - 2*q - l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = -0*o + 5*o, -2*o - 2*f = -12. Let w be 1\/3*(o + 2). Calculate the highest common divisor of 9 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 + 5*b**4\/6 - b**3\/2 + 7*b**2\/2 + 2*b. Suppose -5*h + 5*a - 17 = -2*h, 2*h + 14 = 2*a. Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 - 19 = -3*d, -2*s - 74 = -4*d. Calculate the highest common divisor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 160 = 407. List the prime factors of ((-4)\/1 + g\/18)*-144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 19*q**3 + 6 - 40 + 22.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18798325 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2. Suppose 2*c + 4*g = -0*c - 30, -3*c - 4*g = 35. Let l be c\/(10\/6) + 5. Let r(u) = u - 4*u - l*u + 3*u. What is r(q(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*g + 7*v - 8*v, -4*g - 3*v - 2 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 298*g - 2678. Let b be k(9). Factor 0 - 8\/9*t**3 + 0*t**2 + 2\/9*t**b + 0*t.\nAnswer: 2*t**3*(t - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + -11506864\nAnswer: -11506863.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2184 + 922?\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + 7 + 14 + 15 - 6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150205 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*k + 51, -5*h + k + 54 = -2*k. Suppose 2*o = -3*m + 4, 0 = 3*m - 6*o + 3*o - 24. Factor 6*u + 0*u**2 + 2*u**3 - u**2 + u + u**m - h*u.\nAnswer: u*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 40, -1\/6, 1, -69, 3\/2, -2\/25?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**7 + 20*z**3\/3 - 1. What is the third derivative of y(q) wrt q?\nAnswer: -2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81322, 325171, 731604, 1300621, 2032222, 2926407?\nAnswer: 3983176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28013 and 771.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10367, 82741, 279161, 661643, 1292203, 2232857, 3545621?\nAnswer: 5292511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose i*y - 110 = -y. Suppose 0 = -k - k + y. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z**2 - z. Let i be p(2). Suppose h + h + i = 4*s, -2*h + 2 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 + 764*h - 72962 = 0. What is h?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -94419 greater than -94185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -2 + sqrt(153)\/(sqrt(9)*3).\nAnswer: -2 + 31*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m**4\/2 + 78*m**3 - 120*m**2 - 504*m + 216 = 0. Calculate m.\nAnswer: -2, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -599663915*z**3 + 477668*z**2 + z + 44?\nAnswer: -3597983490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and -95\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4960 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 + i**3 + 3*i**2 - i - 6*i**3 + 12*i**3 to x + z*i**3 + m*i + k*i**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.64 + 9.48. Let l = 0.26 - 4.86. Let f = l + v. Round f to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0442 and -36569?\nAnswer: 36568.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 30222, 0.1 in increasing order.\nAnswer: 0.1, 5, 30222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9*f - 10*f = 27, -39 = -2*v - f. Calculate the greatest common factor of 5258 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1128 and 2064381.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 8 + 4*y**3 - 14 + (2 - 2 + y**2)*(32 - 32 - y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*((-400)\/(-30))\/(-10). Suppose 5*i - 2*s = v*i - 9, i + 3*s + 3 = 0. Let n = -1 + 0.9. What is the nearest to i in -0.5, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.6. Let n = 0 + t. Let p = 6.95 - 1.95. Put p, 4, n in decreasing order.\nAnswer: p, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*c + 3*c - 23 = 0, 0 = -4*j - 4*c + 40. Let -8\/15*s + 8\/15*s**2 + 0 - 2\/15*s**j = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x. Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coo when three letters picked without replacement from ooocco.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -8\/15, 1\/2, 1, -12 in descending order.\nAnswer: 1, 1\/2, 2\/9, -8\/15, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-19)\/(v**(-7))**(2\/13))**(-43) assuming v is positive.\nAnswer: v**(8213\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*t**2*w**3 - 2*t**2*w + 15*t**2 - 2*t*w**4 + 13*t*w**2 - 1703*w**3 + 319*w + 1 wrt w?\nAnswer: 102*t**2 - 48*t*w - 10218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 - 176 - (2 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 216.5565 - -0.2\nAnswer: 216.7565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 - -559. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*m + 46*m + 5 + 42*m + 48*m + 3*m**2 + 13*m**2 to the form y*m**2 + w + p*m and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 13*j**3 + 86*j**2 - 72*j.\nAnswer: -j*(j - 4)*(j - 1)*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {o: 4, t: 3, y: 1, e: 4, g: 2, j: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, a: 1, y: 3, d: 1}. Give prob of sequence qdg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 + -115. Suppose 5*l = 4*c - 101, 0 = c + c - 4*l - t. Suppose -4*g + 5*g - c = 0. What is the remainder when 115 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455545479 to the nearest integer?\nAnswer: 21344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 38*p = -16*p - 768 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04134 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13258877?\nAnswer: 1321, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328*l**4 - l**2 + 3*l + 8 wrt l.\nAnswer: -3936*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.947 - -13. Let g = x + -0.053. Let h be 8\/12*6\/16. Sort -12, h, g.\nAnswer: -12, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68548 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 7, v: 3}. Give prob of sequence gvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k**3 + (4*k**3 + 0*k**3 - 3*k**3)*(4 + 4 - 2) + 0*k**2 + 0*k**2 - 2*k**2 + 2*k**3)*((1 + 0 - 3)*(2 - 1 - 2) - 1 + 0 - 3 - 2 - 8 + 17).\nAnswer: 35*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 2, 0.1, -4 in ascending order.\nAnswer: -4, -0.18, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3209 + -1699. Let r = 811 + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, e: 11}. What is prob of sequence ey?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 119*b + 4116.\nAnswer: -(b - 147)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -23 + (-1 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-688 - -675)\/((-5)\/(-8))?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80355 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/280 - 11*q**5\/140 - 5*q**4\/8 - 25*q**3\/14 - 92*q**2. Factor r(x).\nAnswer: -3*(x + 1)*(x + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 216, -5.\nAnswer: -5, 43, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/43, -4, -0.2 in decreasing order.\nAnswer: -1\/43, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/224*(414\/23 + 1 - 17))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1169 = -3*b, n - 2*b - 231 = -0*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26619920 divided by 80\nAnswer: 332749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -19.019904?\nAnswer: -95.09952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -47 + 43. Let c be v\/((-1)\/(-2) - (-18)\/(-30)). Is c equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3)*z**(1\/3))**(-2\/75))**4 assuming z is positive.\nAnswer: z**(8\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Simplify (i*i**(-1\/28)*i**(-34)*(i*i**1)**(2\/25))**(1\/10) assuming i is positive.\nAnswer: i**(-23013\/7000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(-20))*x*(x\/(x\/(x*x*x**19)))\/x)\/((x**18\/x)\/x**(1\/3)) assuming x is positive.\nAnswer: x**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 7 + 37*g + 15 in the form v*g + x and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b - 31. Suppose 3*v = u - 49, -2 = -v - 3. Calculate the remainder when d(-8) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882664 and 304.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53960457 + -53994121.4878. Let d = -33655 - n. Let l = -9.5 + d. Round l to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzssjbc. What is prob of picking 2 s and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 33. Let n be 55\/b + 2\/(-4). Let w(a) = -a**2 - 5. Let s(d) = -4. Determine n*s(r) - 4*w(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cun when three letters picked without replacement from uppccnc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*k + 2294*k + 78864 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 3*d**6\/4 - 15*d**5 + 673*d**4\/8 - 200*d**3\/3 + 16*d**2 - 52. Factor s(x).\nAnswer: x*(x - 8)**2*(3*x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 25*i - 348. Let z(w) = 24*w + 1. What is the remainder when t(37) is divided by z(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/7 - 458\/(-14). Let h(n) = 5*n**2 + 41*n + 34. Let b(x) = x**2 + 8*x + 7. Let s(i) = w*b(i) - 6*h(i). What is g in s(g) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((160 + -148 - (0 + 3)) + -2 + -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1747 (b) 3\/16 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1472632 by 4.\nAnswer: -368158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/19 + 749114*k\/19 - 9738144\/19.\nAnswer: -2*(k - 374544)*(k - 13)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1291.1326 to the nearest integer.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.1, 17 in decreasing order.\nAnswer: 17, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 2 + (sqrt(1700) - (sqrt(1700) - 3*sqrt(1700)))**2 - ((sqrt(1700)*2)**2 + -1) - (-3*sqrt(153)*-6 + sqrt(153))\/(2*sqrt(9)*4).\nAnswer: 61*sqrt(17)\/8 + 8503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31957 is divided by 1389.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -4*g. Let q = -4 - -4.3. What is the nearest to 0.1 in 0, g, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29770 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*k**2 - 5915*k + 3*k**3 + 5915*k - 2*k**3 as i + q*k**3 + h*k**2 + y*k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -25 - (6 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/2 (b) -0.5877 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:21 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*0\/1)\/((-12)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(2\/19))*q)\/((q*(q\/(q*q\/(q*(q**2*q)\/q*q)))\/q*q)\/q*q))\/((q\/(q*q*q*q**0*q*q))\/q**(-1\/6)))**(4\/31) assuming q is positive.\nAnswer: q**(166\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from oowooowo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 166*x**2 + 1058*x + 890.\nAnswer: -2*(x - 89)*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1303?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -11. Let r = 13.6 - 14. Let g = -4 - -9. Put r, g, f in descending order.\nAnswer: g, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 6*q + 9. Suppose -3*j = j - 48. Let a = j + -4. What is the tens digit of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 31759178267 - 31759178267.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/16)\/(8\/32). Put 0, h, 0.8 in increasing order.\nAnswer: 0, h, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2568.1 - 2572. Sort r, -4, 2\/7.\nAnswer: -4, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 + 11*q**4 + 19*q**3 + 5*q**2 = 0.\nAnswer: -1, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/351 and -47\/312?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 8 = v, 146*z - 5*v = -200*z + 30*z + 28*z + 919 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 139*x**6\/30 + 17*x**3\/3 + x**2\/2 + 73*x. What is the second derivative of g(l) wrt l?\nAnswer: 1668*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115502 times 0.033\nAnswer: 3811.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168600*o**3*s - 100052*o**2*s wrt o.\nAnswer: -1011600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-5))\/(2\/2*(-8)\/20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let s be (21\/14)\/(6\/8). What is the units digit of (-7)\/o*s*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7\/7*(-1)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*q = -47, 4*q = 5*d + 7*q + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 1) + -1)\/((-4)\/16). Let k = 30 - 1. Suppose 2*u + l = u, u = -3*j + k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 - -0.12. Suppose 9*r = -22*r + 465. Is m > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (-26 - (-88 + 45))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 3 (b) -12 (c) -0.5 (d) -0.4 (e) 33 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - 153 + j - 203 - 2*j**2 - 851.\nAnswer: -2*j**2 + j - 1537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112841 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -4. Solve -a = 2*r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2091759315 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295833?\nAnswer: 3, 31, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (-495)\/(-36) + 2\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283 - -2484. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 345*b + 3*b**2 - 4*b**2 - b**2 + 344*b - 7 + 4*b**4 to w*b**2 + q*b**3 + d + y*b + k*b**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -134503 (base 6) to base 7\nAnswer: -52026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + b - 40 = 0, -3*p - 3*b + 3 = -p. Let w(u) = u**3 - 10*u**2 + 11*u - 13. Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/12 + 5\/20. Sort 5, -7, p in descending order.\nAnswer: 5, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*j - 14368 = 0, -9*u + 11*u = 3*j + 7164. What is the greatest common factor of u and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/5 - 198033*y**4\/5 + y**3\/5 + 198033*y**2\/5 = 0. Calculate y.\nAnswer: -198033, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 42*y + 543. Calculate b(-23).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y + 5*x, 2*y = -x - 0*x - 4. Let q(p) = p + 6. Let b be q(y). Solve k - b = 4*t, t + 2*k - 2 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 50. Is 16854\/15 - q\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 0 (c) 10 (d) -643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50008 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 354.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3554 or -3552?\nAnswer: -3552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 389*i**2 + 268*i - 2207. List the prime factors of s(8).\nAnswer: 19, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 8. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113102896 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 = 3*d - 8, 4*t + 3*d = 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/15 (b) 31 (c) 4 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814 + -743. Put 3, r, -5 in decreasing order.\nAnswer: r, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*d + 10, -1 = 5*d + i + 1. Suppose j + d*j - 2*o - 27004 = 0, 0 = 4*j - 3*o - 108006. What is j rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440305 is divided by 261.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - -516. Let a = 163 + o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g**2 + 0*g + 1 + 1\/3*g**3. Let r(v) be the first derivative of 7*v**2\/2 + 9. Give r(d(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4*q + 247*o**3*q - 7*o + 1802*q wrt o.\nAnswer: -8*o**3*q + 741*o**2*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*m - 2*t, -2*m - 4*t = -11 + 3. Suppose p - m = -p. List the prime factors of -2*(p - 3)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3047 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 276*t**2 + 971*t + 1045358.\nAnswer: 552*t + 971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 2 + (0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + -250. What is the lowest common multiple of 2\/8 + q\/(-16) and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16809, -33620, -50431, -67242, -84053, -100864?\n\"Answer: -16811*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/10)\/(8\/20). Let n be (12\/a)\/(2\/6). Let m = 6 - n. 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 m = -1.05 + 0.05. Let n = -0.6 - m. Let s = 2 - 16\/9. Put 0.5, n, s in descending order.\nAnswer: 0.5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(16\/(-1248)*-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 25*q - 5*h + 16 = 0, -5*q = 5*h - 60. Suppose -114 = 5*w - q*w. Calculate the remainder when 227 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 10453*d**3 + 122*d - 10454*d**3.\nAnswer: -d**3 + 133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -285, -525, -765, -1005, -1245?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6193263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*x = 235*x + 190*x + 29251 + 16815 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.59793 rounded to 0 decimal places?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 10 - 7*d + 5.\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -370530*v**2 - 278598 wrt v?\nAnswer: -741060*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*l\/(l**(-14)\/l))*l**(-1\/6)*(l**(-2\/33))**(-2\/77) assuming l is positive.\nAnswer: l**(-87233\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 7*n**5\/30 + n**4\/6 + 2*n**3\/3 - 2*n**2 - 43. Find the first derivative of d(q) wrt q.\nAnswer: 28*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 21*u - 9. What is the smallest common multiple of j(20) and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(2\/37)))\/m*((m**(-13)\/m)\/m*m*m)\/m*m*m*m)**(-18) assuming m is positive.\nAnswer: m**(7290\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817718.9s in minutes?\nAnswer: 30295.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 643\/232650 - 2\/2115. Let k = 271\/2200 + f. Factor 1\/8*o**2 + 0*o - k.\nAnswer: (o - 1)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 8*o + o**3 - 5 - 5*o + 6*o**2. What is the units digit of a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 72 = 9*r. Solve -r = 3*x - i, 3*i + i = -x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -59, -80, -101, -122?\n\"Answer: -21*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -1032, -1519, -1986, -2427?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 1)*(-4 + 1 + 0) - 19 - 17 + 59)*(-5*h + 4*h + 3*h) as b + s*h and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 5*l**3 - l**2 + (-l**2 + l**3 + l**2)*(-3 + 2 + 10).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 45*k**2 + 2147*k + 12933. What is m(-6)?\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 10\/9 (c) 1\/2 (d) -0.2 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 2}. What is prob of sequence lk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = 14, -j = -5*k + 997. Solve -177 = -3*i - k for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(45) - 2*sqrt(245)) + (sqrt(20)\/(sqrt(4)*1) + -2)**2.\nAnswer: -53*sqrt(5)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.5, -3, 0.129, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 8, -2, -4 in ascending order.\nAnswer: -4, -3, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 - 35*v**3 + 32*v**3 + 24*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Suppose -2*x + d*h = h - 6, 4*h + 8 = -2*x. Let w = x - -22. Solve -5*o - 3 = w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 25*w = -5*r - 7, r - w - 42 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -107 or -21666?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = -2*d, -3*d - 5 = -0*d + 4*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (10 - (-11 - -12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.328081 rounded to zero dps?\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8. Let n = b - -7. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 43, 59, 73, 85?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 2*v**2 + 4*v**2 + (1 + 2*v - 1)*(4*v + 0*v + 2*v) + (447 - 238 - 6*v - 223)*(-3*v - 2*v + 3*v) in the form m + k*v + b*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 + 181 = 2*r. Let z = r - -95. Suppose 0 = -6*p + 3*p + 264. Calculate the highest common divisor of p and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10371441, 20742894, 31114347, 41485800, 51857253, 62228706?\n\"Answer: 10371453*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x - 1. Let a(y) = -y**2 - 5*y + 5. Give 4*a(h) + 20*v(h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 14*r**2 + r + 17. Let q be d(-14). Let s(p) = 2 - p + 3 - q - 1 - p**3 + 3*p**2. Suppose -2 = -k - j + 2, 3*k + j - 8 = 0. Give s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2\/5 + 6*v\/5 - 9\/5 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 15, 22, 29, 36?\n\"Answer: 7*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 4*t**3 + 4*t**3 + (-16*t + 16*t + 11*t**2)*(-t - t - t) + (2 + 1 - 1)*(5 + 0 - 3)*(0 - 1 + 2)*(t**3 - 2*t**3 - t**3) - 3*t**3 - t**2 + t**2.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(6300) - sqrt(6300)) - -2*(5 + sqrt(1008)*4 - sqrt(1008)))**2 + 2.\nAnswer: 2856*sqrt(7) + 73026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4562*w + 0 - 1431*w + 5408*w + 0 in the form a*w + b and give a.\nAnswer: 8539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1\/2 - 3\/2*h**2 = 0. Calculate h.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20105.95 hours in seconds?\nAnswer: 72381420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 3*c - 1. Let a(f) = f - 1. Let s be a(3). What is the tens digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.45? (a) -1 (b) 0 (c) 5 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 559079374 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 485, 478, 467, 452, 433?\n\"Answer: -2*h**2 - h + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106938 and 234?\nAnswer: 106938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(121))\/(sqrt(99)\/(-4*sqrt(9))) + 1 + 5.\nAnswer: -24*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019346151 to 7 dps.\nAnswer: 0.0001935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/3 + 2*j. Let u(t) = -11*t**2. Let m(n) = 4*n**2. Let s(f) = 8*m(f) + 3*u(f). Determine a(s(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2741645, -5483375, -8225105, -10966835, -13708565?\n\"Answer: -2741730*r + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105721, 105720, 105719, 105718?\nAnswer: 105717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -504, -1682, -3966, -7722, -13316, -21114, -31482?\n\"Answer: -61*o**3 - 4*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104266153?\nAnswer: 23, 251, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10517*g + 3*g**2 - 10516*g + 144*g**2 to n*g + m + f*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 274514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26162 divided by -366.\nAnswer: 13081\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 32 - 26)*(2*q - 3*q + 0*q) + (-3 + 9 + 12)*(1 - 2*q - 1) + (-3 - 1 + 6)*(q - 5 + 5).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -485*k**2 - 4*k - 3. Let l be a(-3). Let t = -1858 - l. Let p be t + (-4 - -6)\/1. Round p to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 8 = -13*c, -285 = 3*v + 3*c - 273 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4.3\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75818 and 7014?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35198509 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + (-14)\/(-6). Suppose -j*l + 6 = l. Let k = 7 + -5. Solve -l*v + k = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*n = 1092 + 7091 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, l: 1, e: 1, m: 2, f: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/20)\/((-3)\/(-6)). Suppose -2*w + 2*g - 8 = 0, w + 0 = -4*g - 9. Let u = 3 - 4. Put w, u, q in increasing order.\nAnswer: w, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3285000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -582, -370, 0.3.\nAnswer: -582, -370, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77351232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/7)*r*r*r*r))**(-2\/7)\/(r**(2\/5))**(-48) assuming r is positive.\nAnswer: r**(4934\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 32. Suppose j*f = 10*f - 570. What is the greatest common divisor of f and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -14, -2\/271, 0.23?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1458*12 - (-182840)\/1512?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 14*l + 5. Let c be d(-6). Let s = -64 + c. Let -1 - s + 6 + 3*b + 13*b - 2*b**2 = 0. Calculate b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 873 and 99425?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*p - 325, 5*r - 4*r - 107 = -2*p. Suppose -1 + r = z. Find the common denominator of -75\/16 and 1017\/z + 3\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6358428*b. Let n(r) = -12*r**2. Calculate u(n(j)).\nAnswer: -76301136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-200))\/(1\/(-2) + 53\/212).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:13 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (301*c - 299*c + 7 + 19)*(4 + 6*c - 4) as r + f*c + n*c**2 and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 133 = -b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258220581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*h - 11. Let n = -1 + h. Suppose 194 = n*m - 4*g, -m = -0*g + g - 46. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 27*r**3 + r - 1. Suppose 4*z - 3*z - 1 = 0. Let c be m(z). Let n(q) = q**3 - 3*q. Let h be n(3). What is the highest common divisor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 2*g = 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 48*p - 45. Suppose 3*q + 118 = -4*k + 44, -5*k - 3*q = 97. Give b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:12 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 a when three letters picked without replacement from {i: 5, g: 3, z: 2, a: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - i**3 + 3*i**2 + (0*i**2 + i**2 - 5*i**2)*(i + 3 - 3) - 4*i**2 + 4*i**2 - i**3 + 3 + 2*i**3 - 3 - 69*i**3 + 209*i - 209*i.\nAnswer: -73*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus -5270383.1001?\nAnswer: -5270383.2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/60 - 6*b**3 + 20*b**2. Let f(d) be the first derivative of o(d). Let a be 4\/(-14) - 16\/(-7). What is f(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.046909?\nAnswer: -0.046909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:32 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*o + 4*l - 7, 0 = o + 2*l - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 - 38 = 43*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyr when three letters picked without replacement from {y: 2, r: 4, f: 3, l: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408626 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19511409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 38236?\nAnswer: -38242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -38584*d + 617349. Give k(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100010 + 110101100010100110001?\nAnswer: 110101100011011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.33 - -16.67. Let f = 17.02 - q. Let p = -2.6 - -2.3. What is the second smallest value in f, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**0*q)**(-49))**(-13\/3) assuming q is positive.\nAnswer: q**637","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.81419 times 28\nAnswer: 22.79732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 44 - 9 = 5*f, -4*f + 42 = -2*u. Suppose f*y - 9*y - 1 = 0. What is the closest to y in -3, 0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2945.3 + -3181. Let t = w + 236. Sort -0.1, 1\/7, -2, t in descending order.\nAnswer: t, 1\/7, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(14)\/sqrt(2)*1)**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6\/13, -2\/487, 8\/5.\nAnswer: -1, -2\/487, 6\/13, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50498, 50311, 50124, 49937?\nAnswer: 49750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - -5 - (4 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 6*w**2 + 0 + 0*w**3 - 9*w + 31\/2*w**4. Let g(y) = y**2. Determine g(v(q)).\nAnswer: 138384*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -92, -183, -310?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 189744225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -5 + -13 + 4 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:05 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858*a + 1365246 = 931*a. Is 78 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -17*v - 13. Let t(y) be the first derivative of y - 6. Let c(k) = -j(k) - 5*t(k). Let b be c(-14). What is b rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffnnf. Give prob of picking 1 n and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1103?\nAnswer: -2\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 7 - 2 - 80*r + 59*r to the form y + u*r and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1181322503.3 rounded to the nearest ten thousand?\nAnswer: -1181320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m + 3. Let g be x(2). Suppose 3*t - 5*o - 6 = 0, -3*t + 8*t - 10 = -g*o. Factor -2\/3*q**t - 2\/3 + 4\/3*q.\nAnswer: -2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16156, -33077, -50766, -69223, -88448, -108441, -129202?\n\"Answer: -384*l**2 - 15769*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -25. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 + 0*t**2)*(3*t + 0*t - 2*t) - 24*t**2 - 126*t**3 + 31*t**2 - 7*t**2.\nAnswer: -127*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24181 - 24181 + 130*k**2)*(3 - 4 - 1).\nAnswer: -260*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2231 + -1907. What is the lowest common multiple of u and 90?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15871 - -15873. Let k(n) = -n + 7. Let s be k(-5). Solve 7*q - 2*w - s = 3*q, 0 = w + m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 368*a + 28*a - 1188. Let j(k) = -k**2 + 8*k + 5. Let l(h) = -2*h**2 + 9*h + 6. Determine a*l(p) - 4*j(p).\nAnswer: -2*p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let l = 52 + -44. Suppose l = 5*x + d, 5*x - 5*d - 20 = -z*d. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o - 14. Let d = -39 - -37. Let c be w(d). Sort c, 3, 0 in increasing order.\nAnswer: 0, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 9*k + 2*k**2 + 15 - 3*k**2 - 3*k. Is 11 a factor of r(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:57 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a - -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-40) - (-2 + 1))*-35. Is -98\/5 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16357992 to the power of 1\/2, to the nearest integer?\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 5 + 97)*(3*x - x + 0*x) - 3*x - 1 + 1 + x + x - x + 2*x + 2 - 2 + 0*x - 4*x + 3*x + (-4 + 5 + 1)*(x + 0*x + x) as w*x + o and give w.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 45 + 14*b**3 - 45 - 12*b**3 + 2*b to z*b**3 + l + g*b + i*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 20, 29, 38, 47?\n\"Answer: 9*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -84. Let l be (2 + -2)\/((2\/y)\/(-2)). Which is smaller: l or 8\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 3*w. Let k(o) = -o**3 - 25*o**2 + o + 27. Let m be k(-25). Calculate s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338262744.\nAnswer: 2, 3, 71, 179, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -62, -7.838?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - p**3 + p - p**3 - p**3 + 3*p**3 + (11 - 9 - 10)*(-2*p - p + p)*(-p**2 + 2*p**2 + 3*p**2) to the form v + j*p + l*p**2 + q*p**3 and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807296 is divided by 90364.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/8*42\/(-98)*(-202)\/(-303)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/13 (b) -0.5 (c) 3 (d) 101 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/409446 and 17\/2967.\nAnswer: 409446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 2*v**4 + 3*v**4 + (1 + 2 - 2)*(26*v**4 - 40*v**3 + 40*v**3).\nAnswer: 31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259347482.\nAnswer: 2, 129673741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174*a**4*y + 2*a**2*y - 5*a*d**2*y + 369*d**2*y - 2*d**2 wrt a.\nAnswer: 696*a**3*y + 4*a*y - 5*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q - 11. Let m(g) = 28*g + 2013. Let k be m(-72). Determine u(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**32\/(s*s*s*s**1*s*s)**(-2\/39) assuming s is positive.\nAnswer: s**(-404\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12)*(-2040)\/(-306)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8633007 and 25899021?\nAnswer: 25899021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 2. Let l be w(2). Let y be (-2)\/((-4)\/6) - 2. Let h be (2*5)\/(y\/l). What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853.058 micrograms in tonnes?\nAnswer: 0.000000001853058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 + 368. What is the greatest common divisor of 20 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j**6 - 459*j**5 - 172701*j**2 wrt j?\nAnswer: -2760*j**3 - 27540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crhhhqshxhh. Give prob of picking 1 s and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*i - 6 - 85, -4*i + 102 = -3*x. Let f = 45 - i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 4*n, 5*y + 2 + 4 = 2*n. Let v = 7 - 12. Let h be 12\/v + n + -1. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3 = 3*o, 0 = -3*p + 4*p - o - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 205 (c) -2\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/180 + f**4\/72 - f**3\/9 + f**2 - 5*f. Let h(v) be the first derivative of x(v). What is l in h(l) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 47*w**4 - 8*w**3 + 5*w - 59. Let o(q) = -16*q**4 + 3*q**3 - 2*q + 20. Let m(k) = -8*o(k) - 3*p(k). Find the second derivative of m(r) wrt r.\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 171 - -40?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21576309661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 10. Suppose 4*r - 14 = -0*u + u, -u = -i. Let p = -26 + 40. Solve r*x = -6 + p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3203226, 3203215, 3203190, 3203145, 3203074, 3202971?\n\"Answer: -x**3 - x**2 - x + 3203229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006178 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 3*s + 1, 3*k = 3*s - 863 + 869 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -218841 (base 9) in base 16?\nAnswer: -20068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjpj when four letters picked without replacement from {p: 9, c: 2, j: 8}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-1\/2)\/b*b)))\/(b**(1\/3)\/b)*b**(-5)*b*b**(2\/3)*b assuming b is positive.\nAnswer: b**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-1))\/(-2)*(-56304)\/(-3726)*171\/190\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:04 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {v: 1, r: 2, h: 9, k: 5, a: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 2099426?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1919 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**3 + 524*o**2 - 11864*o - 25856 = 0.\nAnswer: -2, 32, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/7 + 111*u**4\/7 + 39339*u**3\/7 - 4849659*u**2\/7 - 30488886*u\/7 = 0. Calculate u.\nAnswer: -201, -6, 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.14 - -0.14. Let g = -1.2 + 3.2. Let a = g - t. What is the second smallest value in 2\/7, -2, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/84)\/(81\/(-126)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/6*a**3 + 46*a + 0 - 1\/18*a**4 + 0*a**2. Let m(y) = 0. What is y?\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8897584 from -2.73344.\nAnswer: 8897581.26656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.593 and 45721882.\nAnswer: 45721882.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36078180 and 84.\nAnswer: 252547260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.04 (c) -1\/6 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n - 32. What is the units digit of c(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/488015 and 2\/25.\nAnswer: 2440075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**4 - 12*y**3 - 7*y - 559. Let c(n) = -8*n**4 - 9*n**3 - 8*n - 560. Let r(v) = -4*c(v) + 3*l(v). What is the derivative of r(x) wrt x?\nAnswer: -4*x**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1.75. Round x to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4 + 4 + 4*w. Suppose -2*f + 4*y = y - 9, 0 = -3*f + y + 17. Let t(l) = f - 6 + l**2 + 0*l**2. Give t(d(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpwwamcvmammmmacammv. What is prob of picking 2 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let z(f) = -2*f + 5. Let v(k) = -5*i(k) + z(k). Give v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -1738, -3840, -6784?\nAnswer: -10570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -81?\nAnswer: -59\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2025 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-429))\/((-1)\/((-3)\/(-8)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361.6 + -357.6. Which is the closest to -0.1? (a) r (b) 522 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 15 = 0. Solve -b - z*p = p + 11, -4*p - 9 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97965\/17 + -5763. Put -1\/2, 3\/7, -8, w in ascending order.\nAnswer: -8, -1\/2, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.56 - -1.06. Which is the third biggest value? (a) 1\/3 (b) n (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -198\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922*j = -919*j - 9. Solve 0 = -0*m + 4*m + 2*v - 4, 4*m + 6 = j*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, -1, 1 in descending order.\nAnswer: 5, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-1 - -1) + -1) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxopxuousx. What is prob of sequence ops?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*t + 20296 = -5805 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 17 + 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3864 by -552.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i + i)*(0 + 0 - i**2) + 3*i**3 + i**3 - i**3 - 290*i**2 + 9*i**3 + 290*i**2 - 4*i.\nAnswer: 11*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2906.94626 and -13.\nAnswer: 2893.94626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/127 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7694*u + 1500323. Determine f(-195).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 152573100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.1 in 4, 25.7, -1\/8, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 9, 41, 91, 159, 245, 349?\n\"Answer: 9*h**2 - 13*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -1 (c) 0.203 (d) 2\/7 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7402107124.\nAnswer: 2, 349, 5302369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(860*l - 100*l + 972*l) as b + j*l and give j.\nAnswer: -1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 45. Suppose w*h - n - 1439 = 0, -4*n + 9*n + 3605 = 5*h. What are the prime factors of h?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 12*o + 39 = u - 23, -7*u - 5*o + 416 = 0 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -z - 385, -x - 5*z - 3 = -115. Let b be x - ((-2)\/2 + 0). What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74566.2 - -74591.28095. Let n = i + 68.92053. Let a = 94 - n. What is a rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2 + 1. Let f be z(1). Let v = f - -18. Suppose 70 = v*j + 3*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 75 = -2*b. Let i(t) = t + 4. Let f(g) = -1 - 2 + 0 + 2. What is b*f(c) + i(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3599354 and 6608.\nAnswer: 201563824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10569835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24279398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 12*g - 10. Let p be a(-11). Suppose p = -v + 5. Let x = 8 - v. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 1. Let n be u(-3). Suppose n = 4*o - 3*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/4)\/((-1)\/6). Let r be 8\/7*(-231)\/n. Suppose k = -2*k - 5*c + 19, -5*c + 10 = 0. Solve r = -k*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - 6*i + 6*i)*(-2 + i + 2) - 3*i**5 + i**5 - i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + f - f - 13*f + 17*f + 18*f + (-5*f + 0*f + 42*f)*(-3 + 2 + 2).\nAnswer: 57*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72065487 is divided by 51883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81816 - 87463.9. What is w rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -137, -142, -147, -152, -157?\n\"Answer: -5*d - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3345*h**3 + h**2 - 10. Let n(o) = 8362*o**3 - 2*o**2 + 24. Give 5*n(j) + 12*z(j).\nAnswer: 1670*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 333092*y**2 + 2664928*y - 5329984 = 0. Calculate y.\nAnswer: -83281, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n + 2. Let y = 66 + -64. Let v(a) = -1786*a + 171. Determine y*v(r) - 171*x(r).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:58 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6661, 13864, 21069, 28276, 35485, 42696?\nAnswer: 49909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3079e2 (base 16) to base 15.\nAnswer: 42b4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -10.22 (b) -3\/8 (c) 1216 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391541.5cm to nanometers.\nAnswer: 3915415000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -23*q + 5. Let v(a) = -11*a + 1. Calculate -2*m(l) + 5*v(l).\nAnswer: -9*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11169 + -0.21.\nAnswer: 11168.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.45, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 390812?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/4 + 2*u**3 + 7*u**2\/2 + u + 4. Let k be 1*(-1 - -1 - 11\/((-110)\/(-50))). Calculate c(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.022 in 3\/8, -8, -0.08, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 38637\nAnswer: 11591.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71702*f**2 + 278228*f**2 + 358342*f**2.\nAnswer: 564868*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdssssssssss. Give prob of sequence dsss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -0*t. Suppose -4*k + 4 + t = 0. Suppose -k*w + 3*x + 58 - 4 = 0, -3*w - x = -92. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -312 (c) 2 (d) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(64)*-2*1 - sqrt(64)))\/(((sqrt(2) - ((sqrt(18) - sqrt(72)\/sqrt(4)) + sqrt(18))) + sqrt(2))*-1))**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18298, -36331, -54364, -72397, -90430, -108463?\nAnswer: -126496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q - 1. Suppose l - 2 = 2. Let p(d) = d**2 - 6*d + 5. Let z be p(l). Let j be z\/2 - (-2)\/(-4). Determine m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-1*2)\/(sqrt(768) - (sqrt(768) - sqrt(768)*-2)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*s = -8, -3*b + 5*s - 29 + 5 = 0. Let y = 165 + b. Suppose 8*z + y - 453 = 0. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47656 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Suppose -2*q = -5*d + k*d + 29, -3*q = -3*d + 78. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 69*s**2 + 125*s + 3933. Calculate h(-68).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5335*y**3 - y + 3*y - 1 - 42*y**2 + 5319*y**3 in the form t*y + h*y**2 + c + m*y**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052*y - 430707 + 406511 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r - 5. Let b(n) = -25*n + 9. Determine 3*b(p) + 5*f(p).\nAnswer: -10*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/(-63)*4\/2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + a3a?\nAnswer: a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 b, and 1 r when four letters picked without replacement from brzoroooooooorrzo?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/21 + (-2)\/6. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c - 18. Let u be m(-4). Let d be (-5)\/(-2) - (-15)\/u. Suppose -d = -4*x + 2*x. Solve 4*b = 2*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -193*z - 5*z**2 + 193*z + (z - 4*z + 5*z)*(-z + 3*z - 4*z) + 0 + z**2 + 0 + (-2*z - 1 + 1)*(-2*z + 3*z - 3*z) + z**2 + z - z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47655.\nAnswer: 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23397, -46852, -70307, -93762, -117217, -140672?\nAnswer: -164127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:46 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64370 and 20828.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 8:37 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r + 95 = r + 755. Solve 12 = r*o - 9*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 13) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let n(u) be the third derivative of 0*u**4 + 24*u**2 + 0 - 104\/3*u**3 + 3*u + 1\/30*u**5. Calculate t(n(b)).\nAnswer: 4*b**4 - 832*b**2 + 43264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4472\/(-50))\/((-406)\/145) - 88\/(-1540)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 + 51461*x\/8 + 1105487\/4.\nAnswer: (x + 43)*(x + 51418)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 257, 380?\n\"Answer: 123*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-5)\/1*5\/(-75)*-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2655646*c**2 - 107400*c - 1 wrt c.\nAnswer: -5311292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 + 4092*s**2 - 149256*s + 1349136 = 0.\nAnswer: -2082, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s**3 - 3*s + 3*s)*(-5*s + 4*s - s) - 81 + 81 - 39*s**4 in the form d*s**2 + g*s**4 + q*s + y*s**3 + w and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*w + 119 = -257, -3*i + 283 = -2*w. Calculate the remainder when i is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (64 + -4)\/10)\/1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 19*t**2 - 3*t + 9. Let x be f(-4). Suppose 3*s + x = 8*s. Suppose -5*c - 5*k + 25 = 0, c - 6*c + s = -5*k. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 291*p - 24595 = 19352. Sort 0, p, -5 in descending order.\nAnswer: 0, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 189 - 192 + 11*d**2 - 2*d**2 - 6*d - 2*d**2 in the form q + p*d**2 + w*d and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716006 = -102*r + 68*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.81 + 0.19. Let l(a) = a**3 + a**2. Let m be l(0). What is the smallest value in 2, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1 + 6 = r, 0 = 3*r + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6864 + 2.6864. Which is the nearest to -0.1? (a) 74 (b) -5 (c) 3\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*o = -3*o - 467, -3*z + 473 = -2*o. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/14)*o**(-7))**(-11))**(-6) assuming o is positive.\nAnswer: o**(-2343\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056 divided by 22.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -573\/5. Let n be 2*(-2)\/4 - -3. Suppose 4 = -k - 2*b, -3*k + k - b = n. What is the nearest to -1 in r, 4\/5, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-14)*-4)\/(204\/(-350574)).\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.61 and 8.3?\nAnswer: 7.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**3 + 14*v**2 - 30*v + 21. Let c(g) = g**3 + 3*g**2 - 6*g + 4. Let f(m) = -6*m - 1. Let s be f(-2). Let k(y) = s*c(y) - 2*l(y). What is k(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 3*r**7\/350 - r**6\/100 + r**5\/300 - r**2. Determine n so that w(n) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*5*(-2 + 4 + -2*sqrt(405) + 3*sqrt(405) + 3 + 0))**2.\nAnswer: 9000*sqrt(5) + 43005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(117) + 0)*1 + 2 - sqrt(117)*2*3*5)*-6)**2.\nAnswer: -50112*sqrt(13) + 14169744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 561.32 and 0.8?\nAnswer: 449.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174.15 + 611.75. What is m rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d**2 + 0*d**2 + 4*d**3 + d**3 - 55*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -9\/7 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15717 divided by -1.\nAnswer: -15717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 9 = 9*k. Let s be ((-5)\/(-20))\/(1\/(-6)). What is the second biggest value in k, s, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 - 24*z**2 - 8*z**3 + z**2 + 9*z**3.\nAnswer: z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 40*y**2 + 390*y - 20. What is p(12)?\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q**3 + 6*q**2 - 6. Let g(j) = -3*j + 7. Let k be g(4). Let d(c) = c**3 + c**2 - 1. Let p(n) = k*d(n) + l(n). Calculate p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 43*g + 645. Calculate a(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (355\/63 - -1). Let c = 55\/7 + a. Factor -c*g**5 + 0*g + 0 + 0*g**4 + 0*g**2 + 2\/9*g**3.\nAnswer: -2*g**3*(g - 1)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p = -45*p - 16. Calculate the greatest common factor of p and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(450))\/(sqrt(10) - (sqrt(30)\/(sqrt(3) + sqrt(12)) + sqrt(10))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbh when three letters picked without replacement from bnvhannvvnhv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -3*n - 11*w, 1123*n - 32 = 1121*n - 4*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2149\/588 + 2\/21)\/((-10)\/(-16)). Solve 3*d + b = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(((-1)\/15)\/((-88)\/(-33)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1584) + 2 + 5 + 0.\nAnswer: 7 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 2*l**2 + 3*l**2 - l**2 - l**2 + 0*l**2 + (-9 + 9 - 5*l)*(4*l - 2*l - l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13748 = 11*f - 7*f - 4*n, 2*f - 6874 = 3*n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17587614?\nAnswer: 2, 3, 11, 266479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.8. Let g be (-1 - -18)*(-116)\/319 + (8 - 2). What is the second smallest value in o, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l**2 + 47*l**2 + 2 + 2*l**3 + 100*l**2 as y*l**2 + a + o*l + s*l**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1024? (a) 5 (b) -217 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99881, -99880, -99879, -99878?\n\"Answer: w - 99882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12657*-54580.\nAnswer: 690819060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.5948023 rounded to the nearest integer?\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-4\/5)*f**(-6)\/f**12 assuming f is positive.\nAnswer: f**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6 + 4. Suppose -3*l = -5*n - 4, -l + 4 - o = -n. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/12 and 95\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 21, 19, -3, -51?\n\"Answer: -x**3 - x**2 + 22*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1270, -2544, -3818, -5092?\n\"Answer: -1274*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1304705\/300 + (-4)\/(-10). Let l = 4352 - r. Let v = -37009\/27 - -1370. Find the common denominator of v and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -162 + 3dd?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.102 (b) 1\/5 (c) -0.3 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26499 and 28908.\nAnswer: 317988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 4016790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*f - 578732 = 7*f - 2186495. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013\/7 at most as big as 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 412486005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**5 + 168*q**4 - 968*q**3 - 640*q**2 + 7500*q + 7000 = 0.\nAnswer: -2, -1, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-13)))\/w*w\/(w\/(w*w*w*w**(-5\/4)*w*w*w*w)) assuming w is positive.\nAnswer: w**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 38 = -5*u, 0 = i - 3*u - 11 - 21. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1691*q - 1767*q - 3*q**3 - 2 - 2*q**2 + 0 + 2*q**2 as p*q**3 + u + d*q + x*q**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 6.5\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (396\/51)\/(492\/(-4182))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 59*t - 14. Is h(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 23. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47265*k - 14*k**2 + 47265*k)*(-1 + 0 + 0)*(0 + 1 - 3).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 4934 = 65*q + 129*q - 6842 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -24*d**2 + 6. Let u(s) = -s - 3. Let f(t) = -8*t**2 + 5*t + 17. Let n(z) = f(z) + 5*u(z). What is -8*n(l) + 3*w(l)?\nAnswer: -8*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 times 175306?\nAnswer: -28048960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 807, 3626, 8465, 15330, 24227, 35162?\nAnswer: 48141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 310*j**2\/11 + 628*j\/11.\nAnswer: -2*j*(j - 2)*(j + 157)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*v - 36, 3*s + s = 2*v - 6. Calculate the greatest common divisor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 13*q**2 - 11 - 4*q**3 + q + 11*q. Let l(k) = -2*k**3 - 7*k**2 + 6*k - 6. Give -11*l(o) + 6*x(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4 + 2 - 1 + 9*j**2. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/55, 0, 6, -8, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58008 + 8\/12*-6 - 4. What is a rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 - 1 = -5*p, 0 = 4*y + p - 23. Calculate the remainder when 81 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17696*a**2 + 16002*a?\nAnswer: -35392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41183843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(18\/2)\/3. What is the nearest to 0 in 5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-14) + (-1)\/(110\/59). Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 3*n**2 - 48665 + 5*n**2 + 48689.\nAnswer: 3*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = -3. Let r be (q + -2)*(-3)\/(-3). Determine v so that 2*v**r + 0*v**2 - 3*v**2 + 3*v**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 - 1888*n**2 + 7528*n - 7520 = 0.\nAnswer: 2, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 - t**2 + 1. Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -45*o. Let i(q) = q**3 + 2*q**2 - 9*q. Let v be i(-4). Suppose -v*u + 5 = -3*u. Let s(g) = u*g + 7*g - g - 10*g. Calculate a(s(m)).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**4 + 299*f**3 + 200704\/3*f + 67200*f**2 + 0.\nAnswer: f*(f + 1)*(f + 448)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 16*v**2 - 2*v + 20. Let l be p(8). Let g(a) = 2*a - 2. Let w be g(3). Solve w*d + 20 = 3*j, 0*j = -j + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (180\/(-16))\/(-9) + -1. Let s = 0.4 - 0.1. Let m = 0.4 - 0.4. Which is the third biggest value? (a) m (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 19 + 8*v**2 + 29 - 10.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3 - 78420*m**2 + 470601*m - 705942 = 0.\nAnswer: -26146, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/17*v**5 + 0*v + 0 - 6\/17*v**3 - 4\/17*v**2 + 0*v**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 at least as big as -366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -4, 133, 5791, 11, -1 in decreasing order.\nAnswer: 5791, 133, 11, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218301, -436642, -654983, -873324, -1091665?\nAnswer: -1310006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16*m - 12*m + 11.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198089979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*35\/770*36\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160\/511 + 2\/73. Sort 30, -0.4, i in increasing order.\nAnswer: -0.4, i, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20407 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 38*z**2 + 4. Let b(j) = -j**2 - 1. Calculate 12*b(a) + 3*l(a).\nAnswer: 102*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8717593?\nAnswer: 71, 199, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4 + o**3\/3 + o**2 + o - 2. Let w be g(-1). Suppose -55 = -w*h + 53. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/148 and ((2340\/6993)\/(-20)*-9)\/((-20)\/(-14)).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - c + 1. Let z = 4 - 3. Let n be v(z). Solve -5*h = n*d + 15, -4*h = d - 5*d - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 + (-11 - -8). Let w = t + 3. Suppose -80 = -w*i - i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -129, -3, 0, -70 in decreasing order.\nAnswer: 3, 0, -3, -70, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 21*u + 10. Let s be n(6). Let y = s - -5. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1166*c**3 - 4*c**2 + 3*c - 1. Is 65 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evemmmtvmveeeeevmev. What is prob of sequence mv?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*t + 10, -3*t = 45*v - 42 + 120 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from sksxxxxxxkxxxx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109098 and 300?\nAnswer: 5454900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20173 (base 8) in base 9?\nAnswer: -12358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-6))\/((-22308)\/996 - -24) and -145\/36.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 632, 1402, 2172, 2942, 3712, 4482?\n\"Answer: 770*w - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/7)\/x*x*x**(-8)*x*x)**(-12\/11) assuming x is positive.\nAnswer: x**(492\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 - 9*x - 19. Suppose 0 = 2*u - 9*u - 35. Let s be d(u). Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14553 - -14552.977894. Round x to four decimal places.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*3704.8\nAnswer: -2222.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13082 - -680196.\nAnswer: 667114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218 and 674.\nAnswer: 73466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-6)*23\/(-7) and 157\/630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 5. Let z be s(3). Suppose -4*o + z = -w - 86, -4*w - 100 = -4*o. Calculate the remainder when 94 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 11 - 12, 0 = -p - n + 5. Let l(t) be the first derivative of -3 + 0*t + 0*t**2 + 1\/5*t**5 - 1\/2*t**p + 1\/3*t**3. Factor l(v).\nAnswer: v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17103?\nAnswer: 3, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10*3525\/(-4230))\/(1\/148)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/5 - 48*a**4 + 10032*a**3\/5 - 161728*a**2\/5 + 658464*a\/5 = 0.\nAnswer: 0, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -61.68. Let t = v + -3.18. Let o = t + -0.5. Is o at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -261?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/420 + 7*u**4\/24 - u**3\/2 - 9*u**2. Let l(w) be the first derivative of d(w). Differentiate l(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53139*l - 280336*l + 105809*l - 414923*l.\nAnswer: -536311*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002010101 (base 3) to base 12.\nAnswer: -1b817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3669*d - 297186. Determine z(81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 12*z**2 + 2*z + 48. Suppose -12 = 3*a - 4*h - 46, -5*h = 2*a + 8. Is m(a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178 and -0.02709.\nAnswer: 4.82202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 2*t**3 + 3*t**3)*(-3 + 4 - 5) - 11*t - 16*t**3 - 2*t**2 + 15*t**3 + t.\nAnswer: 7*t**3 - 2*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14694\/60 + 1\/10. Let u = b + -242. Suppose -5 = -2*h - 3*a, -a + 5*a = -3*h + 10. Solve -2*l - h = u*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/5, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568057428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from dyexyeexdxx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s - 19. Let w be h(6). Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4851*u**2 - 2*u**3 - 16371*u**2 - 15624*u**2.\nAnswer: -2*u**3 - 27144*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (46 - 39 - (27 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6202 = 5*r, 2*r - 935 = -3*d + 1550. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -68827*r + 275277. Determine l(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (95\/(-10) - -2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddpjpjpdp. Give prob of picking 1 j and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 2*b - 2. Let o be a(6). Calculate the greatest common divisor of o and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1304562 - -2?\nAnswer: -1304560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*c. Let z = 3251\/2035 - -1\/407. Are c and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(30) + sqrt(30))\/sqrt(5))\/(sqrt(72)*4).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2062905 divided by 13845.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9611*q - 9620*q + 364 = -1256. What is the greatest common factor of 220 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -20 + -89 + 108 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011879769 rounded to five decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 98 = -o, 6*g = 3*g - 2*o - 51. Let a = g + 26. Suppose -h - 2*y + a*y = -71, h = -2*y + 50. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from rmrrbrrbrrrm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*l - 3*l. Let v = l - 9. Factor d + 2*d**3 - 4*d**v - d**3 + 2*d**2.\nAnswer: d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 - 1. Let k be u(5). Let s = 0.0299 - -0.2101. Let q = s + -0.24. What is the third smallest value in k, 3\/2, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*g**2*x**3 + 2*g*x**3 - 14*x**3 wrt g.\nAnswer: -394*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 280*r**3 + 3*r**2 - 647*r**3 + 300*r**3 - 2*r in the form g + b*r**2 + l*r + o*r**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 13033301012?\nAnswer: 13033301023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-7)*(-2688)\/768?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let p(m) = 5*m + 124. Let s be p(-24). Solve -30 + 0 = -5*c - o*u, 0 = c - s*u + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -327*t**4*y**3 + 4*t**2 + 36274*y**3 wrt t?\nAnswer: -1308*t**3*y**3 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924995395*b**2 - 15*b**3 - 1924995395*b**2.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 451 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4312, -8623, -12934, -17245?\n\"Answer: -4311*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21036852467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 493848 = -2*l - 0*l + 493850, 2*l = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*p - 15, -10*t + 11*t - 3 = p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = 37*m + 5*m - 320. Solve -4 = m*p, p + 3 = -3*b + 4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -218, 1\/12, -6, 21, 0.\nAnswer: -218, -6, 0, 1\/12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.23826 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 2499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 29*b - 9*b - 14. Let v(k) be the third derivative of -5*k**4\/12 + k**3\/3 - 12*k**2. Give v(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65085090 to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037491595 to 6 decimal places.\nAnswer: -0.003749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16390977 and 10222.\nAnswer: 5111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -49 (b) 0.2 (c) -0.104 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*q - 345 = 123, a - 19*q - 263 = 0. Solve -a = 14*b - 125 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 4*g - 2*g, -2*n + 7 = 5*g. Let a be n\/(-5) + (-56)\/(-70). Which is smaller: a or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -397, 5, 3520 in increasing order.\nAnswer: -397, -84, 5, 3520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g. What is the remainder when (1\/2)\/((-3)\/(-138)) is divided by o(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 199 = 4*d + 200, -10*k + 12 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j - 826. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*l + 4*l**2 + 8\/5*l**3 + 0 - 4\/5*l**4.\nAnswer: -4*l*(l - 3)*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or -0.136?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10\/17)*o)\/(o*o*o**(14\/9))*(o**(32\/5))**18 assuming o is positive.\nAnswer: o**(86488\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y - 14*y - 9*y + 45*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 4}. What is prob of picking 1 g and 1 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 3:55 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2660\/931*441\/23940?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/39 - (-2436180)\/494?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4739, -4745, -4751, -4757?\nAnswer: -4763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -796757*w + 796752. Determine m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 18 - 19) + (6 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) + sqrt(98))*-1 + 1 - (sqrt(98)*2 + 3 + 6*sqrt(98)*-2).\nAnswer: -2 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjjxjxjxxjjox. Give prob of sequence ox.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, -95 in decreasing order.\nAnswer: 37, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 102 and 101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 452035453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 341*m + 7*m)*(3 - 2 - 2)*(-m**3 + m**2 - m**2) to the form j + t*m**3 + u*m**4 + s*m**2 + i*m and give u.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose u = 2*j + 4, -v*j + 4 = 2*u + 2*u. What is the smallest common multiple of 2*(j - (1 + -6)) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -35*h**3\/3 - 4*h**2 - 8*h - 40. Let a(b) = -12*b**2 - 3*b - 3. Give -8*a(s) + 3*l(s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169598 and 3328?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -v - 0*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o + 5*c, 1 + 13 = 3*o - 5*c. Let u be -2 - -4 - (o + 1). Is (65 + 3)*u\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**3 + 24 - 24)*(-15*r - 14*r + 1655 - 22*r + 50*r).\nAnswer: 6*r**4 - 9930*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + ((-124)\/(-248) - 549\/6).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o + 2. Let m be k(8). Sort m, 1\/12, 3, 0.1 in descending order.\nAnswer: 3, m, 0.1, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9116877 and 2989?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -4.1?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -3, 4, -0.05, -0.04, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2308, -0.147, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, -0.5, 1.073, 0, -2 in ascending order.\nAnswer: -5, -2, -0.5, 0, 1, 1.073, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205422484?\nAnswer: 2, 51355621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 62ad6?\nAnswer: 62ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*z + 257 = 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 1\/5, 0.05 in ascending order.\nAnswer: -1.5, 0.05, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11360)\/(-60)*(12 - 0). Let c = z + 1215. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3\/6 + 55*o**2\/2 + 193225*o\/3 = 0.\nAnswer: -262, 0, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 508*g**2 - 183*g wrt g?\nAnswer: 1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127856157.\nAnswer: 3, 11, 13, 29, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137569270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -32607, -6 in increasing order.\nAnswer: -32607, -22, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1589, 1604, 1619, 1634, 1649, 1664?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = w - 4*w. Let y(p) = p**3 - 7*p**2 - 4*p - 10. Calculate the least common multiple of y(w) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:19 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -0.3. Let q = y - 1.2. Let m = q - -0.4. Round m to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x = 266*x + 165*x + 457*x - 57407 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 9. Let k(a) = 110*a + 20. Calculate -3*b(q) - k(q).\nAnswer: -107*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 j when three letters picked without replacement from uujxxqxwxuxu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54, -118, -184, -240, -274, -274?\n\"Answer: 2*d**3 - 13*d**2 - 39*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62\/13 + -160\/39. Factor -l*w + 0 - 2\/3*w**2.\nAnswer: -2*w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, -3\/2, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 - 22325*v**4 - 336465*v**3 + 2083885*v**2 - 3069100*v + 1344000 = 0. What is v?\nAnswer: -20, 1, 3, 4480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73723 - -4?\nAnswer: 73727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -81005 divided by -16201?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 17*s**2 + 3*s + 4. Calculate m(-3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -701 times 94\nAnswer: -65894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22111 (base 4) to base 9\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*y - 4, -5*v + 5*y - 19 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -487 and 2374.4931.\nAnswer: 1887.4931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*o*p**2 - 373124*o*r + 954404*p**2*r + 8*r with respect to o.\nAnswer: 24*p**2 - 373124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.115 - -0.12. Round w to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - h + 2*h - 8*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a - 5?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 10*d**2 - 6*d + 23. Determine q(-7).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*21\/378)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 15.3 (b) 18065 (c) 1\/4 (d) 0.5 (e) 0 (f) 0.3 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 24*t**2 + 25*t + 12. Let h be j(-25). What is the second derivative of -31 + 2*x + h - 4*x**3 + 19 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 5 - 4 - 27.\nAnswer: -x - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39\/10 - 7\/2. Let v = 549\/1930 - -3\/193. Which is the smallest value? (a) v (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = 3*f + 21, -4*i = 3*f - 14. Suppose 0*d = d - i. What is the second derivative of y**5 - y - y**5 + 0*y**5 + y**d wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128387372 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1847 + -0.163. Let c = t - -13.3983. Round c to one decimal place.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*0\/(3\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 8629234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703 divided by -703.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 15 + 9 = 0. Let g = -20 - v. Suppose -g*b = -98 - 46. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 - k**2)*(-1 + 2 + 1) + 94*k + 51*k + 218*k + 3*k**2.\nAnswer: 5*k**2 + 363*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/3))**(2\/45)*y\/y**(1\/17)*y*y*y\/y**(1\/31)*y*y assuming y is positive.\nAnswer: y**(408796\/71145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let p = -37 + 66. Let b = -21 + p. Let o(d) = b + d**2 - 8. Give o(a(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 + 4 = 0. Let x(t) = 6*t**2 - 3*t**w + 6 + 5*t - t. Let m(n) = n**2 + n + 1. Let b = -5 - -1. Give b*m(j) + x(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*d + 131 = 2527 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70737135.\nAnswer: 3, 5, 7, 157, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - (-37 + -18 + 16).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 19*y + 6*y)*(2 + 0 - 4)*(-1 - 5*y + 1).\nAnswer: 270*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, -31, 14, -5, -4 in descending order.\nAnswer: 25, 14, -3, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -3. Let n(k) = k + 5. Let f be n(-5). Is f greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*n + 2943, -2*n - 68 = 2*l - 2030. Suppose -9*p + 2439 = -n. Suppose 4*x = z - 4*z + p, -4*z + x + 532 = 0. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68688, -68747, -68806?\nAnswer: -68865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 416181.3 micrograms?\nAnswer: 416181300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -13, 60355, 0, 1\/2 in ascending order.\nAnswer: -13, -1\/9, 0, 1\/2, 60355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 982422421 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 8*r**2 + 4*r - 12. Let f be l(-6). Find n, given that -3 - n**2 - 39*n + 71*n - f*n = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308*k**5 - k**4*n + 3*k**3 + 14*k**2*n - 47*k**2 - 5*n wrt k?\nAnswer: -18480*k**2 - 24*k*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 4. Let m = j + 3.9. Let q be 1\/((-1)\/2) - 1. Which is the biggest value? (a) q (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 27*w**2 - 4*w - 35. Let c be h(-27). Suppose 5*k = -c + 418. What is the lowest common multiple of 6 and k?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78127?\nAnswer: 7, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, -2\/3, -20.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5267118 divided by -877853\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1333*x - 2298*x - 13779*x to the form z*x + n and give z.\nAnswer: -14744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.2 and 231.56423158942.\nAnswer: 235.76423158942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382182 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19068312 is divided by 200719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(16))\/(2*sqrt(729) - sqrt(9)) + (5 + -4 + (sqrt(2) - sqrt(4)\/sqrt(2)))**2 + 4.\nAnswer: sqrt(2)\/34 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 4 - n - 1\/2*n**2. Let p(a) = 0 - 4 + 3. Calculate 2*h(s) - p(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16965*b**5 + 287*b**2 + 14592757*b?\nAnswer: -339300*b**3 + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 4*v + v**4 + 26 + 28 - 17*v**2 to h*v + z*v**2 + x*v**3 + t + l*v**4 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 8 = 5*s. List the prime factors of (11 + s)\/(1\/13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28633177 or -28633179?\nAnswer: -28633179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1221619 millennia?\nAnswer: 12.21619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.157103 rounded to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1999*c**2 - 471547*c + 471547*c)*(2 + 1 - 4) to x*c**2 + n*c + l and give x.\nAnswer: -1999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/43 in 2\/9, 4, -0.06467?\nAnswer: -0.06467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2)*(13 + (-2)\/(-2)). What is the units digit of (48\/y)\/(1\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 68. Let w(o) = -3*o - 72. Give -2*r(y) - 3*w(y).\nAnswer: 9*y + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/42 and -9\/17.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 238, -5, 2, 3 in decreasing order.\nAnswer: 238, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8956, -19001, -31210, -46663, -66440, -91621, -123286, -162515?\nAnswer: -210388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*q**4 + 1 + 3*q**2 + 99*q**4 + 7*q + 0 - 2*q**2 to the form c*q + l + r*q**4 + i*q**3 + t*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 174*g - 512*g + 175*g + 165*g + 8. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 423*o**2 - 331 wrt o?\nAnswer: 846*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y + 3. Suppose 0 = y*v - 5 - 1. Let k(b) = 3*b**v - b**2 - 5*b**2. Let z(c) = c**2. Determine z(k(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 97692, -3, -1, 0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.1 + -16. Let r be (-20)\/(-8) - (1 - -1). Which is the closest to o? (a) r (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - (4 - 16) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*s + 13*s + 8*s)*(10 - 17 - 20 + 4*s)*(2*s + 0*s - s) to the form k + y*s + g*s**2 + r*s**3 and give r.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 40*b + 8 = 0. Solve 0*w + 2*k = -w, 2*w = b*k + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 1183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(228) + sqrt(228)*-1))\/(sqrt(24)\/sqrt(2)*-2) - (-2*sqrt(931) + -1 + sqrt(19)*3))**2.\nAnswer: 22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 4\/27*l**3 + 3 - 1\/54*l**4 - 3*l - 4\/9*l**2. Let r(b) be the first derivative of d(b). Factor r(w).\nAnswer: -2*(w - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 9) to base 16\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -0.2, -52173, 2\/21, -77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-7 + (28 - 11))) + 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.960937416 - -4.961. What is u rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/1260 + k**6\/120 - k**5\/15 - 3*k**4\/8 + 2*k**2 + 14*k. Let a(x) be the second derivative of i(x). Factor a(c).\nAnswer: 2*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 80\/75)*5. Let d(x) be the first derivative of 0*x**2 + 0*x - 1\/4*x**4 + 6 - v*x**3. Let d(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 4*d - 2 - 6 = y. Suppose -d*c - 4*x - 4 + 12 = 0, c = 2*x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j + 14*j - 220 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is be (base 15) in base 8?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -716 + 371. Let c = -273 - z. What is the highest common divisor of 252 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101222210 + -12?\nAnswer: 1101222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43564 + -43564.3. What is the second smallest value in -3308, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -60\/11*f**2 - 12\/11 + 58\/11*f + 14\/11*f**3 = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094482 rounded to four dps?\nAnswer: 0.0945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let d be (-1)\/((-4)\/(-14) - (-46)\/(-14)). Let i(x) be the first derivative of -d*x**3 + 0*x + 0*x**2 - 1. Give i(q(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-10)*(-2 + 44\/20). What is the closest to b in -2\/3, 0.5, 5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-6)\/8). Let h = 3 - -6. Let z(n) = -5*n. Let u(a) = 21*a. Let b(v) = 2*u(v) + 9*z(v). Let r(o) = -13*o. What is c*r(x) + h*b(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102606140?\nAnswer: 2, 5, 7, 13, 56377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4470*w**3 + 12552*w?\nAnswer: -26820*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b. Let c(s) = s - 2. Let q(o) = 4*o - 7. Let a(l) = -7*c(l) + 2*q(l). What is m(a(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 4:30 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 + 2. Let p be c(-2). Let k(d) = -d**3 - 10*d**2 + d + 7. Let a be k(p). Let f be a - 3\/(3\/(-2)). Are 2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/56 + 8\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h + 8. Let n be (-2)\/(-24) + 2773\/708. What is r(n)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d + 0*d - 2*d)*(1 + 2 - 1) + 50*d - 29*d + 65*d to the form x + h*d and give h.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 divided by -80?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 30*p**2. Let f be z(-1). Let y = 32 - f. Suppose -3*x + 3 = 2*t, 5*x = y*t - 2 - 9. Solve -t*q - 4 - 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22383.418 to the nearest integer.\nAnswer: 22383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 0, 17, 44, 81?\n\"Answer: 5*k**2 - 8*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 3\/8, 2, -1 in ascending order.\nAnswer: -13, -3, -1, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242428448, -242428444, -242428440, -242428436, -242428432, -242428428?\nAnswer: -242428424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*r + 3177*r - 7313*r - 3390*r.\nAnswer: -6703*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:37 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-2 - 5) + 7 - (0 - 13))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45568386 is divided by 6721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 + 46 = 5*i, 0 = z - 4*i + 15. Let u = z + 29. Calculate the remainder when 35 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91943 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 1632176198.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 11411?\nAnswer: -11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p - 2. Let s(u) = -2*u**2 + 5*u + 5. Suppose -5*j = -20, -y - 4*y + 5*j = 35. Let m = y - -5. Calculate m*s(z) + 5*r(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210320 (base 4) in base 6?\nAnswer: -253424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 + 203*w**4\/3 + 275*w**3\/3 + 23*w**2 = 0.\nAnswer: -1, -1\/3, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 176491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-2) - (-86)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 10*o + 7. Calculate m(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 12*u + 14. Let l be u\/((10\/(-2))\/20). Let n(p) = -l*p + 3*p - 11*p. Let v(b) = b**2. Give n(v(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1243945, -2487961, -3731969, -4975969, -6219961, -7463945, -8707921?\nAnswer: -9951889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(700\/600)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -8, -44, -94?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62760484 and 1?\nAnswer: 62760485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-6)\/(-513) - (975\/57 + -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 + 8*m - 4. Calculate w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116457 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -46*z + 4. Let w be l(-1). Calculate the highest common divisor of 400 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 + 4*k**4 + 126*k**3 + 320*k**2 + 200*k = 0. What is k?\nAnswer: -5, -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*r, 2*l + 3*l = 1325*r - 1330*r + 70 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -233. Let p(y) = 1. Let s(i) = 2*i**2 - 3*i + 6. Calculate d*p(a) - s(a).\nAnswer: -2*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 9. Let i = -7.6 + d. Let h = i - -0.1. What is the third smallest value in -4\/7, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 22*f + 2. Let u = 6 + -2. Let s be t(u). Suppose -j = 4*r + 284, -4*j - j - s = r. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 162. Let i = f - -76. Suppose 5*b - 976 = -i*b. What is the remainder when b is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 52974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01468 - 0.01471897. What is j rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -6*i - 87 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3153149 > -9459446\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9709 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 70*z**2 - 37*z + 4. Let r be a(17). Suppose -l - 3*l + 4 = 0. Sort 4, r, l in decreasing order.\nAnswer: 4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 2, k: 10}. Give prob of sequence mm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36816 - 36816 + 973*t)*(0 - 1 + 3) + 4*t - 2*t - 4*t.\nAnswer: 1944*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-1)\/(0 + -1). Let f = b - 2. Suppose -q + f = -5. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**3 - 216*f**2 - 1788*f - 113. Determine l(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose -84 + 1 = 5*k - 2*h, -k + 3*h - 14 = s. Let n be (-1)\/4 - k\/4. Solve t = -n*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27*c - 59*c + 31*c. Let l(g) = g + 3. Let t(w) = w + 1. Let a(i) = l(i) - 3*t(i). Determine a(n(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5343*b + 670892 + 527389 = -3946*b for b.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from ejaakavjjajjaav.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from ulclcuucllcc.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -15. What is the least common multiple of 16 and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 3*m - 2. Let i be r(4). Suppose 4*n + 5*s = -0*n + 52, 3*n = -3*s + 36. Factor -d**2 + i*d**2 + 8 - 4*d**2 + 5*d**2 - n*d.\nAnswer: 2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 19. Is -5 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 5*y**4\/24 + y**3 - 21*y**2. Let g = -12 - -18. Is w(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 31*t**4\/24 + t**2. Let i(v) = -353 + v + 353. Calculate c(i(z)).\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -32.7. Let k = 32 - p. Which is the closest to k? (a) -0.4 (b) -1 (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -631303290 divided by 45?\nAnswer: -14028962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g + 39. Let k be m(-7). Let q = k - -97. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5191*i**2 + 5*i. Let f(l) = -5192*l**2 - 6*l. Determine -5*f(m) - 6*g(m).\nAnswer: -5186*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 2*g - 4, 0 = a + g + 10. Let l = a - -9. Suppose 3*n + 4*h + 7 = 0, 0 = 2*n + 2*n + l*h. Solve -2*f = -v, n*f - 12 = -2*v + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 + 52 = -3*v - 2*v - 56, -95 = -51*z + 2*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + t. Let f(n) = -2*n**2 + n. Suppose -48*k - 54 = -57*k. Give k*j(s) - 5*f(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -0. Let c = 5 - 4. Do c and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17829 - -17837. Solve 0 = 4*p + 3*v - 2*v - 6, 5*p + v = r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q**2 - 3*q**2 + 2*q**2)*(0 - 2 + 1) + 2*q**2 + 3*q**2 - 4*q**2 + (12 - 12 - 2*q)*(3*q - q - q) + 0*q**2 + 2*q**2 - 3*q**2)*(-3*q + 227 - 227).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/27, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(3\/2)\/(3\/(-514)). Let k = 332 + q. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 45. What is the remainder when 154 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 12:51 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5024, -5101, -5230, -5411, -5644, -5929?\n\"Answer: -26*x**2 + x - 4999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2584.569 >= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -23. What is the first derivative of -13*t**3 + 18 - 18*t**3 + 44*t**w - 15*t**3 - 8*t**2 wrt t?\nAnswer: -6*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818798 to the power of 1\/2, to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 712 + -252. Suppose 0*u + 510 = -3*u. Let c = u + n. What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times -4569?\nAnswer: -1507.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.79076 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 8. Let x(b) = -2*b**2 - b - 2. Let i(v) = -v**2 + v + 1. Let g(n) = -3*i(n) + x(n). Let p be g(5). Calculate a(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uig when three letters picked without replacement from iugrw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5329*k - 25. Let m(q) = q. Calculate g(m(v)).\nAnswer: v**2 - 5329*v - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**2 - 10*d**2 + 11*d**3 - 18*d**3 + 4*d as w*d**2 + i + y*d + b*d**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0 + 2. Let h = 3 + -3. Suppose -4*f = 3*t - 24, 6 - 41 = -5*t - 5*f. Sort m, h, t.\nAnswer: h, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2 + 1299420*k - 33782892 = 0?\nAnswer: 26, 433114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -1365*w**4\/4 - 4391*w**3 - 14025*w**2\/4 + 1099*w\/2 + 6 = 0. Calculate w.\nAnswer: -12, -1, -2\/195, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((15\/(-10) + 2)*0)\/(-4). Suppose -17*m + 33*m - 656 = t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 13 = 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -448145 and -448145 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.056432*-7\nAnswer: -0.395024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/24, 12, 1544, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, 5\/24, 12, 1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 + 10*h**2 + 29*h - 54. Let t be a(19). Calculate the highest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 12*c = -5. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t + 145*t - 9*t**2 + 263*t + 10*t**2.\nAnswer: t**2 + 437*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/15 + 602\/10. Suppose t = u - 4*u. Let j = 30 + u. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 1134?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 11*t = 11, 19*b - 16*b + 4 = 4*t. Let n be (-1235)\/(-4690) - (-2)\/(-7). Is n at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 48 = 33*w. Let x be (-5)\/w + 143\/39. Find s such that 0 - 2\/11*s**x - 6\/11*s = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + b + 12*x = b + 13*x + 11, 124 = -4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/2 (b) 1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-6) + 8\/(-12). Suppose -w*c - c + 32 = 2*a, 0 = -3*a. Let m = -15 + 44. What is the remainder when m is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2. Let y(s) = -7*s + 206. Let k(f) = -8*f + 209. Let m(n) = 5*k(n) - 6*y(n). Give w(m(h)).\nAnswer: 12*h**2 - 2292*h + 109443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3861\/468*12\/18*((-5)\/(-10) - 2)\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18994578 by 6.\nAnswer: 3165763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32237 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105283.144 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1107\/12)\/9*4. Suppose 0 = b - k + 22. Suppose -2*c + 0*c = -10. Calculate the remainder when b is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j*j**(-4))))**(-45)*j**(4\/3)*j**(-8) assuming j is positive.\nAnswer: j**(250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 28 = -8. Let z be (-116)\/(-14) + 6\/(-21). Suppose -g = -3*b - 30, 0 = 3*g - b - 105 + 31. Solve -z + g = -l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nec when three letters picked without replacement from ncecr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 554482 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-2*a**2 - a + a) - 2*a + 2*a - 2*a**2 + (4 - 4 - 2)*(a**2 - 6*a**2 + 4*a**2) + 0*a**2 + 7*a**2 - 4*a**2 + a**2 - 3*a**2 + 6*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/7))**(-25))**(6\/19)\/((u\/(u**0*u))**(1\/3)\/(u**(-8)\/(u\/u**1))) assuming u is positive.\nAnswer: u**(-1814\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**4 - 1\/5*w**6 + 0 + 0*w**2 + 0*w**5 - 3\/2*w**3 - 19*w. What is the second derivative of u(q) wrt q?\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 11111111010000011?\nAnswer: 11111111001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 756 + -728. What is the smallest common multiple of q and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 3*z - 5. Give x(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -449*j - 1271. Let x be i(-33). Which is smaller: x or 13547?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-988)\/1862*-7\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26421.\nAnswer: 3, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*r - 21, -b + 0*r + 4*r = 9. Suppose -b*p = -6*p - 1242. What are the prime factors of p\/(-27) - 2\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 280?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -312201144 (base 5) to base 16\nAnswer: -13a5fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 51680*i. Let v(q) = -321*q. Determine 2*u(z) + 323*v(z).\nAnswer: -323*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447.137 take away -1?\nAnswer: -1446.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:48 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2736) - (sqrt(2736) + -3*sqrt(2736)) - sqrt(2736)) + 3)**2.\nAnswer: 144*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12508 = 9*x + 12544. Which is the second smallest value? (a) 0.4 (b) -0.05 (c) x (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20263410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 254821871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -19, 14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*1*2*-5)\/((sqrt(42) + sqrt(504)\/(2*sqrt(12)))\/sqrt(6)).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (76\/(-5))\/(4\/(-10)). Suppose n = x + x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -16) + -1 + 26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3411054*z**5 + 408*z**2 - 2636.\nAnswer: 204663240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqiqqqiiiqq. Give prob of picking 2 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let s be y(-2). Let v(r) = 4*r**3 - 13*r**2 - 13*r - 13. Let d(h) = -2*h**3 + 6*h**2 + 6*h + 6. Give s*v(i) - 13*d(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1158*q - 697*q - 255*q as p + t*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(80\/(-16))\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 e, and 1 t when four letters picked without replacement from hmmrmmehehththh?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z - 41*z = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 1, j: 1, n: 1, p: 2, z: 1}. Give prob of sequence ii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223\/4 - 55. Let d = 1.44 + 2.56. Which is the third biggest value? (a) d (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 3. Let s = n - -53. Let o = 46.9999905 - s. What is o rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.111474882 and 5?\nAnswer: 0.55737441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = h - 2*h + 8*x, -3*h + 73*x = 78*x - 117 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -700*s**3 + 445*s**2 - 70*s = 0.\nAnswer: 0, 2\/7, 7\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 76*b = -4769. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 5*w - 5*w. Let d(m) be the first derivative of 0*m + 1\/3*m**3 + 0*m**2 - 18. Determine o(d(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s - 8*s + 75 + 79*s**3 - 80*s**3 wrt s.\nAnswer: -3*s**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-10)\/c)*c))\/c)**7 assuming c is positive.\nAnswer: c**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11946 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 13) + -3 + 0 + -3 - 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -10. Let g = 12 - j. Suppose -9*i + 4*i - 4*m = 0, 0 = 2*i - m. Solve g*t + 8 = 3*b, -b + 2*b - 2*t = i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 4\/3 (c) -4 (d) 4 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v**3 - 2*v**2 - 11*v. Let u(x) = 14*x**3 + x**2 + 7*x. What is 5*j(r) + 8*u(r)?\nAnswer: 7*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1629 - -1628. Which is the fourth smallest value? (a) o (b) 0.07 (c) -2\/5 (d) 2\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 5*m**4\/12 + m**3\/3 + 8*m**2 - 25. Let c(w) = 9*w**2. What is c(y(t))?\nAnswer: 900*t**2 + 360*t + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9984330 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10111*l + 10081*l + 300 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31\/(u\/u**(-1\/15)) assuming u is positive.\nAnswer: u**(449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -466, -4, 3, 4, -15 in increasing order.\nAnswer: -466, -15, -4, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910*i**3*k - 8824*i**3 + 5*i**2*k + 228*i**2 + 11*k**2 with respect to k.\nAnswer: -910*i**3 + 5*i**2 + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22626 and -776.8.\nAnswer: 175.758768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985741990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -3*h**4\/4 - h**3\/3 + 4*h**2\/3 + 4*h\/3 + 2. Factor w(b).\nAnswer: -(b - 1)*(3*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 343, 398, 467, 556, 671, 818?\n\"Answer: b**3 + b**2 + 45*b + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 170. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - -3)*(-25 - 0))\/(-1). Let d = -13 - 12. Let v = 50 + d. Is v at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200)*2 + (sqrt(200)*-2 + sqrt(200))*6)**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 46 - (31 - 45)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggvbgbvbtd. What is prob of picking 1 g and 1 v?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 - 141*x**2 + 140*x**2 - 2. Let o(n) = -17*n**2. Calculate b(o(t)).\nAnswer: -289*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 13 + -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c + 16. Let l be h(-7). Let q = -64 + l. Let m(b) = 49*b - 17*b - 15*b - 1 - q*b. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2016 + 3556. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 26*w - 222 = 0. Let t = 78 - w. Find the second derivative of -8*k + 10*k**t - 7*k - 39*k**4 + 19*k**4 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*a - 13 + 1 - 1 wrt a?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(132)\/(sqrt(12)*2) + 2*sqrt(1100) - (-4 + 1*sqrt(44))**2).\nAnswer: -219*sqrt(11)\/2 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36503, 36527, 36551?\nAnswer: 36575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -456456131*x**3 - 88405250.\nAnswer: -1369368393*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36760280.\nAnswer: 2, 5, 79, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 8) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43169 + -43169. Let i = 4.87 + 0.13. What is the closest to -2\/5 in -1, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 + 69)*(-5*w + w + 3*w).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4849 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffmfcmf. What is prob of picking 1 c and 3 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soossoosssosyossoos. What is prob of sequence sss?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 95970?\nAnswer: 9596b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3032735*k**5 + 2186*k**2 - 307*k.\nAnswer: 181964100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*i. Suppose 5*n = q + 4444, -3900 + 340 = -4*n - i*q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 67100570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234518179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3\/2*d**2 + 3*d - 1\/15*d**6 + 0*d**5 + 0*d**3 + 0*d**4 + 0. Differentiate y(u) with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - -5. Suppose 18 = -j + 3*s, -4*j + 7*s = 2*s + 86. Let p = u + j. Solve 3*i + 3 = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 601\/245 - 6\/245. Suppose -4*b - 3*a - 46 = -7, b + 5*a = -14. Let f = 12 + b. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6413018 (base 9) to base 12\nAnswer: 119705b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*k**2 - 9174 + 9174 - 101*k wrt k?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195306272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*-1*306\/2142?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -d + 5*v - 6, -3*d + 2*v = -2. Solve 12 = 2*g - 5*p, -5*g - 5*p - 24 = -d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -3, -2, 21, 16, 3 in descending order.\nAnswer: 21, 16, 3, -2, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/3 + 41*d\/9 - 4\/3.\nAnswer: (d + 3)*(15*d - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8094279 is divided by 86?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*(-3 - -3)*1. Let y(g) = g**2 + 2*g + 610. What is the units digit of y(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3423 or -1004.18?\nAnswer: 3423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 4, k: 3, m: 3}. Give prob of sequence kdw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x**(2\/13)*x\/(x\/x**(1\/3)*x)*x\/(x**(-2)\/x) assuming x is positive.\nAnswer: x**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-51 + 34)) + (0 - 67) + -2 + 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -59 (b) -1\/12 (c) -5 (d) 0.3 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 19*z**2 + 8*z - 20. Let h(w) = 6*w**2 + 3*w - 7. Let u(m) = 11*h(m) - 4*v(m). Let x be u(-1). Let l(q) = q**2 + 10*q + 20. Determine l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.07 - 25.07. Which is the closest to 2.2? (a) -153 (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 2. Let t(k) = 3*k - 2. Let v(q) = 2*q**2 - 32*q - 68. Let x be v(-2). What is x*t(r) + 5*p(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10459576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 22*t - 45. Suppose 13*h - 69 + 17 = 0. Let j(z) = 2*z**2 - 46*z + 89. Let l(u) = h*j(u) + 9*n(u). Determine c, given that l(c) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96 and -1.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 17. Determine r(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5947682 and -63?\nAnswer: 5947619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.2 + -27. Let n = 0 + 1.5. Let t = n - d. What is the closest to t in -4\/3, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432))**2 - (-2*(sqrt(12) + sqrt(3))**2 - sqrt(3)).\nAnswer: 49*sqrt(3) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*x = x + 130, -x = 2*s - 52. Let r = 784 - 777. What is the remainder when s is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 398*c - 34622. What is m(89)?\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 11 = m - 2, -852*m + 4*s + 30 = -850*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4713862 - 16*m**2 + 4713862.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1495502938 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v + 40. Let f(s) = -33*s - 120. Calculate -4*f(y) - 11*u(y).\nAnswer: -11*y + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w**18))*w)\/(w*w\/w**(-1)) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*g**3 - 4*g**4 + 133*g**3 + 125*g**3 + (-2*g**3 + 8*g**3 - g**3)*(5*g - 2*g - 2*g).\nAnswer: g**4 + 167*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1943 + -40804\/21. Calculate the common denominator of i and 7\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -4389.78.\nAnswer: -4382.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 71\/5 + 990\/550. Suppose 5*v + 7 = 22. Solve -v*t - t + b = -2*d, 3*t - d - 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -142 - -a8?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3 + 19. Suppose -t*c + 3*h + 6 = 0, 2*h + h - 6 = 0. Find the third derivative of c*i**3 - i**3 - 2*i**3 - 4*i**5 - 2*i**2 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/(m*m*m\/(m**6\/m)*m*m))\/(m**1)**(1\/12))**(-24) assuming m is positive.\nAnswer: m**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 527 + -526.9414. Let n = r - -18.9414. Which is the nearest to 0? (a) -9 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 74*w**3 + 2*w**2 + 17*w - 31. What is the tens digit of r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103332103 (base 4) to base 8\nAnswer: -237623","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - 2*m**2 + m**2 + 2 + (3*m**2 + 4*m**2 - 3*m**2)*(-1 + 2 + 0) - 2*m**2 - m**2 + 9*m**2.\nAnswer: 9*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1495 divide 6919762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*z - 1059 - 207 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -110*t - 847. Let u be x(1). Which is greater: -955 or u?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, -2, -31, 3.41, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 + 5*n + 4. Give t(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2*-1) + -189. Let x = 1314\/7 + m. Let r = 20806\/3 + -6936. Which is the third biggest value? (a) r (b) -3 (c) 1\/5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132aa (base 13) to base 3\nAnswer: 1210212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/180 + c**5\/30 - c**3\/6 + 2*c**2. Let k(f) be the first derivative of d(f). Find w, given that k(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 91. Suppose 75*t - f = 70*t. Let y(c) = t*c - c + c**2 - 2*c. What is y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.574 times -0.94?\nAnswer: 2.41956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 3. Let w(t) = 1 + 4*t**2 - 4 + 2 - 1. Let m(p) = -2*d(p) - 3*w(p). Let n(g) = g. Calculate n(m(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*n**5 - 1145*n**4 - 36*n**3 + 210929*n.\nAnswer: -360*n**3 - 13740*n**2 - 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 5. Determine w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*i - 519 + 567, 0 = -3*h - 4*i - 45 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266056 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3410 and 51\/2728?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 + (-5)\/(-3). Let h = 0 + -1\/2. What is the third smallest value in -4, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 47*t**6\/6 - 7*t**3 + 38. Find the third derivative of u(i) wrt i.\nAnswer: 2820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*2*((-255)\/17)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-5)\/((-10)\/(-4)). Let y = p + 28. Let f = -6346 - -6342. Sort y, 4, f in ascending order.\nAnswer: f, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.42 + -0.29. Let z = a + 2.87. Put 4, 0.5, z in descending order.\nAnswer: 4, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = -146*w - 64*w + 360. Solve -w*r + 25 - 33 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48427 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:15 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37282 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.562169*5\nAnswer: -12.810845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s + 2. Let l be z(7). Which is the closest to 1? (a) -2 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 22, -5 in increasing order.\nAnswer: -5, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 + 111. Let c = i - -140.6. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901880 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 16) in base 14?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:52 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2025)*-3 + sqrt(2025) + -2*(sqrt(2025)*-2 + sqrt(2025)))\/(-6*2*sqrt(720)*2).\nAnswer: 3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 - 40008*m - 100040004 = 0.\nAnswer: -5001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480206 less than 0.5?\nAnswer: -2480205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 + 46514240*w**2 - 195*w + 433729 wrt w?\nAnswer: -40*w**3 + 93028480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(325)*2 - sqrt(325)) + 4 - (5*(sqrt(325) + sqrt(325)*-1) + sqrt(325) + 4))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.021 - -4.821. Let j = -5.8 + r. Let h = -0.2 + 0.3. Is h at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2269 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**6\/6 + 927*z**4\/2 + 128*z**2 - 11*z + 8847. What is the second derivative of k(v) wrt v?\nAnswer: 20*v**3 + 11124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3*(0 + 1). What is the remainder when (-5*28\/70)\/((-4)\/26 - 0) is divided by -2 + 13 - (b + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77374 or -77375?\nAnswer: -77374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4767424 and 297964?\nAnswer: 4767424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758*c - 1751*c - 14 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**3 + 18321540*w**2 - 29314416*w + 11725760.\nAnswer: -(w - 732860)*(5*w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3661651 or -3661427?\nAnswer: -3661427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 725\/4. Suppose 0 = 5*b - 7 - 3. Let x be (-3)\/b - (-2)\/4. Is p at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i = -5*z - 91*i + 21, -5*i + 25 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4544608689 rounded to 3 dps?\nAnswer: 1.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 33. Let z be l + 3\/((-150)\/295). Let j = 259\/3 + -87. Put j, z, 1\/5 in increasing order.\nAnswer: j, z, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 289 and 201973188.77.\nAnswer: 201973477.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*v + 4*t, -5*v - 3*t = -t - 1. Let b = 14 + v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (0 + (-5 - -5))) + 2509?\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10402*v**3 + 16672.\nAnswer: -31206*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - 3*x + 3*x)*(8 - 11*x - 8 + (4 + 2 - 4)*(-3*x + x + 4*x)) to t*x**2 + m*x + h and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 54304400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704929 is divided by 567894.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -79. Let s = j - 94. What is the second smallest value in 0.3, 2\/11, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 8. Let n be (-44)\/(-7) - t\/(-35). Find the third derivative of -5*w**2 + 2*w**2 + w**2 + w**n wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(((-585)\/(-24))\/5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20)**(-34)*((y\/(((y\/(((y\/y**(-22))\/y*y)\/y)*y)\/y)\/y))\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(-4804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19\/2 (b) 3 (c) 4\/15 (d) 5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 23*f - 80. Let h be z(-3). Let s(g) = -g**2. Let w(k) = 4*k**2 + 8*k - 6. Let l(d) = 5*s(d) + w(d). Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 4. Let d be r(-8). Is 33\/6*(d + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1145 + -168316\/147. Let a = -338\/735 + h. Find the common denominator of a and 51\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 125*v + 280. List the prime factors of g(6).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 103*d**4\/24 + 145*d**3\/6 + 16*d**2 - 176. Let j(y) be the second derivative of m(y). What is the derivative of j(g) wrt g?\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.011 - -0.011. Let f = -87 + 58. Let j = f - i. What is the closest to j in -2\/9, -2, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*g - 5*m, -5*m = 2*g - 10 - 2. Which is the nearest to 0.3? (a) -0.3 (b) g (c) 1\/4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4 + 4 - 44) + 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.0034us in seconds?\nAnswer: 0.0000730034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 50. Suppose 0 = 5*b - b + z*s + 4, b = 5*s + 29. Calculate the remainder when 14 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b175 (base 13) to base 7\nAnswer: 310333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i**10)**(1\/28)\/((i**0)**(-28))**(1\/12) assuming i is positive.\nAnswer: i**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -23*m + 208. What are the prime factors of y(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 4 (c) -1\/11747 (d) 0.5 (e) -5 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1)\/(-1)*-3. Suppose 0 = -5*n - z + 19, -b*z + 17 = 5*n - 0. Let q(a) = -9*a + 4 - 2*a**2 + 4*a**2 + 11*a - 3*a**2. Determine q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8588?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = -0*z + 786*z + 1945 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1116)\/(-3906)*(-16)\/(-6)*3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*p + 182, -m + 19 = 2*p - 19. Suppose 0 = 2*g + 3*i + 7, -5*g + 30 = 3*i - 5*i. Calculate the highest common divisor of g and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*i + i. Suppose -i*y + 9 - 1 = 0. Suppose -y*n + 249 = -257. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + 1. Let q(h) = 2*h**3 - 4*h**2 + 3*h + 2. Suppose o + 1 = -u, -2*o - 16 - 2 = -2*u. Give u*x(d) - q(d).\nAnswer: 2*d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 263660 rounded to the nearest one thousand?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 431*p + 4255. Determine r(133).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260*y + 532*y + 773*y**3 + 2622 - 271*y wrt y.\nAnswer: 2319*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3194\/5 + 644. Let s = 8 + -7. Calculate the common denominator of q and (12 + s)*3\/(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 132a4879 + -5?\nAnswer: 132a4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302*d**6 - d**4 - 2*d**3*t - 18*d**2 - 100*t wrt d?\nAnswer: 36240*d**3 - 24*d - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 30*i - 9. What is t(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1088 at most -396.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 21855*u. Let s(t) = 17*t**2 + 1. Determine x(s(c)).\nAnswer: 371535*c**2 + 21855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-9)*s)\/s)\/s**(9\/4) assuming s is positive.\nAnswer: s**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4501, -8693, -12887, -17083, -21281?\nAnswer: -25481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06686 * -0.4.\nAnswer: -0.026744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -25. Let a be 0 - (8\/1)\/(-1). Calculate the remainder when h is divided by 1\/4 + 118\/a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-35)*l**(-30)*(l*(l**(-9)\/l)\/l)\/(l\/l**16))**(-26) assuming l is positive.\nAnswer: l**1560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/1080)\/(36\/(-10)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8576767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) 16640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-43711.\nAnswer: 1355041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 55. Let w(z) = 182*z - 52*z - 68*z - 37 - 64*z. Calculate 5*k(p) - 8*w(p).\nAnswer: p + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15610, -31226, -46846, -62470, -78098, -93730?\nAnswer: -109366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 185. Let r = b + -66. Solve 3*q - 2*q = -2*v + 10, r = -v - q + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + -6 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 1, b: 1, c: 7, d: 1}. What is prob of picking 3 c and 1 p?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -8. Let n = r + -18. Suppose 0 = 4*z + d - 985, 11 + 14 = n*d. Calculate the greatest common divisor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145043*g + 10*g**3 + 145043*g.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 84343581.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411431 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5))**(-5\/12)*((q\/(q*(q*q\/((q*q\/(q**(-3)\/q))\/q))\/q))\/q)\/((q\/(q*((q**(2\/7)*q)\/q)\/q))\/q*q))**(-18\/11))**(2\/27) assuming q is positive.\nAnswer: q**(-178\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v = -85*v + 4*h + 24, 2*h - 6 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -245, -3, 5 in increasing order.\nAnswer: -245, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*k + 31083 = 0, 7*v - 51518 - 21031 = 4*k. What are the prime factors of v?\nAnswer: 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/9, 0.298, 3, -5\/6, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**4 - s**3 - s. Let a = 6 - 8. Let l(r) = -9*r**5 - 3*r**4 + 3*r**3 + 8*r. Let t(k) = a*l(k) - 6*x(k). Find the second derivative of t(h) wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 53. Let w(x) = x**2 + 3*x + 2. Let k be w(h). Let s(r) = 26*r + 13. What is the remainder when s(k) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5687129 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 611037\/5 + -122205. Suppose 0 + x*y**4 - 12\/5*y + 39\/5*y**3 - 39\/5*y**2 = 0. Calculate y.\nAnswer: -4, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {f: 4, z: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0332583 to four decimal places.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13728077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 290, -114, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206450, -412932, -619414, -825896?\n\"Answer: -206482*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 40 = -40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21157 is divided by 399.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 70662*d + 70660*d - 16, -s = 2*d - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4 + 4*v + 3*v - 1. Let g be f(5). Suppose 5*n - 100 - g = 0. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*u + 48*u + 3*t - 15, 0 = -18*u + 4*t + 90 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*l + 4*p - 5, 5*p = -4*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 50328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 11*m - 8*m. Let o = -24 - m. Suppose -o*k = -7*k + 6. Let b(a) = 4*a**2 + 2*a + 3. Calculate b(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 - 13876*d\/9 + 24067922\/9 = 0 for d.\nAnswer: 3469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1344*a**2 - 14 + 460*a**2 - 2*a + 10 + a**3 to x*a**3 + m*a + d*a**2 + u and give d.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 11. Solve -p*u - 31 = 5*c - 0*u, 10 = -5*c + 5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d + 5. Let r be n(-7). Suppose 10 = 3*c + j, -j - r = -4*c + 3*j. Suppose -5*i + 5*s = 0, -4 - 4 = -c*i + s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 - 8*l + 9. Let m(v) = v**2 - v. Let w(f) = 4*m(f) + z(f). Is 20 a factor of w(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 15 - (-72 + (45 - -14)) - (44 + -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 5*g**3 + 4*g**3 - 21*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 300 = 2*a - 176, -4*f + 379 = a. Suppose -g + 1344 = 5*y, -4*y + 2*g + 1172 = f. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -569*a - 81 - 5277 = 901 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 + 9*w - 7. Let c be k(-12). Let b = -112 + c. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.2366884 + 0.2367404. Let k = -16 - w. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 10*h + 23*h**2 - 25*h**2 + 5 - 2*h**4 - 1 in the form r*h**4 + c*h + z*h**2 + i + w*h**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 40 = 4*k - 5*r - 11, -43 = k - 6*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -140, -131, -114, -89, -56?\n\"Answer: 4*y**2 - 3*y - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Suppose 23*i - 22*i + 7 = 0. What is y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12742871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 171 - 147 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4 and (1*-26)\/((-1564)\/17).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-12)\/9 + 10\/(-15). Let r be (-1)\/((-1)\/a*-2). Let c be (-2)\/(-11) - 2*r\/22. Solve 0 = 5*b - c*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(272) - (-2 + 2*sqrt(17)).\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 - -2) - (-1 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-99)\/11*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 4638*g**3 - 118*g**2 - 520457*g.\nAnswer: -24*g**2 - 27828*g - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/70 and -87\/2758.\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -612*h**6 - 6*h**5 + 4*h**3 + 2*h**2 - 120829?\nAnswer: -73440*h**3 - 360*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 - d**4\/6 + d**3\/2 - 4*d**2. Let v be w(-4). Find the second derivative of -5 + 2 + 2*c + v*c**2 + 3 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:58 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.689 - 36.889. What is the nearest to -1 in f, 23, -1\/37?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -30) + 1 + (0 - 23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364939523.\nAnswer: 3, 151659947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6665722 + 6665722.7070303. Let n = -0.707 + l. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149850 and 37962.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 4 - (-6 - -1) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2768.31 - -2802. Let s = w + -34. Let b = -0.29 - s. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -9b450?\nAnswer: 9b460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 21747?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-16 + 5 + 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 30) + (10 - -49) + -113.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 >= -115260\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -56*((-20)\/(-35))\/(-2). Calculate the highest common divisor of a and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*137\nAnswer: 4384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 46, 75, 120, 187, 282?\n\"Answer: f**3 - f**2 + 15*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 184, -2, -5 in decreasing order.\nAnswer: 184, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/5*(-4)\/44. Let q = 0.01 + 0.39. Let n = -0.1 + q. Which is the smallest value? (a) -2\/5 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.01 + -0.01. Let w = x - 14. Put 0.2, -3, w in ascending order.\nAnswer: -3, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 - 1*-1*(-4 - -4). Suppose -v*u + 113 + 125 = 0. What is the remainder when u is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 16, 26, 38?\n\"Answer: i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.10858 to one decimal place.\nAnswer: -30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 1, c: 1}. Give prob of picking 1 u and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 45*d + 88. Let n be g(43). What is the third derivative of 42157*f**n + 7*f**4 - 42080*f**2 + 23*f**3 - 3*f**4 - 3*f**4 wrt f?\nAnswer: 24*f + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.95 (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = -14*p + 110 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2527107 divided by -33.\nAnswer: -76579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -5. Let z = 8.2 + u. Let s = 0.6 + z. Which is bigger: 0.3 or s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/71, 1\/9, 4, -210?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by -7.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppf when four letters picked without replacement from pffpppffpf?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628703.6ml to litres.\nAnswer: 628.7036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Let i(a) = -a**3 + 6*a**2 - 7*a + 3. Let x be i(z). Suppose -72 = x*u - 1052. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 3. Let v = 22 - 16. Let g be a(v). Let y(c) = 2*c. Let z(h) = -3*h. Let b = -274 + 279. Calculate b*y(s) + g*z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -927, -1403, -1903, -2433, -2999, -3607, -4263?\nAnswer: -4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 2665\nAnswer: -34\/2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6702.24 rounded to the nearest 100?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 11. Let h be c(-9). Let j(t) = 4*t**3 - t**2 - 3*t + 3. Is j(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 5333558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29253 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*((sqrt(70) - 2*sqrt(70)) + sqrt(70))*-5)\/((sqrt(40)*-1)\/sqrt(4)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/21*(35\/(-28) - -3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 376057*n**2 + 376057*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2566438\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32632 is divided by 32160.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.67081693 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -2.7. Let u(z) = z**3 - 10*z**2 + 20*z + 3. Let f be u(7). Sort -3, f, a in ascending order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18198683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7869.0798 nanoseconds in hours?\nAnswer: 0.0000000021858555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539480 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/(-16) + 1\/4. Let s = k - -4. Suppose s = 3*v - 6*v + 30. What is the smallest common multiple of v and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(539))*-3 + 5 + (-5 + -1*sqrt(539) - (sqrt(539) + 1 + 0)))**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/750 + g**4\/25 - 12*g**3\/25 + 22*g**2. Factor j(l).\nAnswer: -2*(l - 6)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/6 - r. Let s(k) = -11*k + 3. Let a(u) = -54*u + 14. Let h = -33 + 19. Let z(m) = h*s(m) + 3*a(m). Determine q(z(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 13*m + 17. Let h be i(-12). Suppose 10*q - h + 49 = 0. Sort -4, q, 6.\nAnswer: -4, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 441*v - 1467 = 5211 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449879*k**2 + 449933*k**2 + 30 - 30.\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b. Let m(i) be the first derivative of -75*i**2 + 2*i - 199. Give u(m(p)).\nAnswer: 900*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 16 - (3 - (-7 - -6)) - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.757002 + -0.5.\nAnswer: -1.257002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/3)\/(s\/(s*s**3)) assuming s is positive.\nAnswer: s**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 216?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i + 6*i. Suppose -s - 9 = 2*f - 0*s, -4*f + i*s - 3 = 0. Let h = -3 - f. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3234 + -124333?\nAnswer: -132011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, g: 2, h: 3}. What is prob of sequence glh?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -94. Solve 0*t - k*t - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 3 - (14 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 32001672?\nAnswer: 32001672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from {o: 4, e: 2, h: 6, u: 2, l: 2, v: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/108)\/(3*(-4)\/(-48)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by 144819.\nAnswer: -133\/48273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -71\/11, 6.4 in increasing order.\nAnswer: -71\/11, -4, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (39 - (145 - 66))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = x + 3 - 1, 10 = -5*x. Suppose u = -3*q + 12 - 0. Suppose -4*y = 3*w - 4*w + q, 2*y + 72 = 4*w. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 - -118. Suppose l + 3*p + 0*p = 36, z = -5*p + 25. Which is smaller: 20 or l?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(-26)*n**6\/(n*n**(-2\/13)\/n) assuming n is positive.\nAnswer: n**(-596\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 13306525*u + 13306524 = 0. What is u?\nAnswer: -13306524, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w**3 - 17*w**2 + 477.\nAnswer: -30*w**2 - 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8500998?\nAnswer: 42504990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 397623 and 968?\nAnswer: 384899064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 9. What is the units digit of a(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114853259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 54*i + 4. Let d be m(3). Suppose 3*z + d = 5*q + 37, 4*q = 2*z + 102. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus 7.4?\nAnswer: 7.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-30)\/96)\/(2\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230874857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -95. Which is the nearest to 0.2? (a) -18 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 859?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*k + 94*k + 20136 - 20876 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + c = -83, 3*z - 5*c - 45 = -10*c. Let x be (z\/(-7))\/((-16)\/56). What is the common denominator of 3 - ((-56)\/x + 4) and -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:47 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (4 - (13 + -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 297, 40, 4, -3 in ascending order.\nAnswer: -3, 4, 20, 40, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6*m - 27. Let o(u) = -m*u + 15*u - 10*u. Give o(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/16 (b) 38182 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0692609 to four decimal places.\nAnswer: -0.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**2 - 2*v - 6. Let h(y) = 9*y**2 + 2*y + 3. Let w(j) = 7*h(j) + 4*m(j). Suppose -2*i = -q - 11, 4*i + 3 = -4*q - 5. Calculate w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1423 = q - 1178. Suppose 5*j + 20 = 0, -q = -0*s - 5*s - j. List the prime factors of s.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4712 and 740087924.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75231231 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 l = -2 - -1.94. Let h = 2.94 - l. Let y = 2.5 - -2.5. Which is the second smallest value? (a) y (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 158*y + 53 - 99*y - 81*y. Does 82 divide p(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44896.74, -0.3 in decreasing order.\nAnswer: 44896.74, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2 (c) -132\/83 (d) -2\/11 (e) 4 (f) -5 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5846 + 3504 = 55*k. Let o = 60 - -8. Calculate the lowest common multiple of k and o.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j - 10. Let q(f) = -f**2 - 11*f + 13. Let n be q(-12). Let r be h(n). Solve -s + r*x + 0*x + 1 = 0, -5 = -s - x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13734578, -13734630, -13734710, -13734812, -13734930?\nAnswer: -13735058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b. Let k(w) = -36*w**2. Give j(k(x)).\nAnswer: 684*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2254224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2)*(2*k - 3*k - k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216570 - 92428. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3144535571 and 184.\nAnswer: -3144535387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8*38\/2736)*(-2 - (4 - -1))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -42. Which is the biggest value? (a) 2\/5 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.86060896 and 0.1.\nAnswer: 0.186060896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 48 = -11*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3\/2 + 31710*i**2 - 134069880*i + 188949150880 = 0. Calculate i.\nAnswer: 4228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1677 - 2305 - 1269 + 1455)*(0*x + 2*x - x).\nAnswer: -3796*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - p - 6 - 6 = 0, 0 = 6*r + 2*p - 4*p - 814 + 782 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 5:16 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.2 + 81. Which is the fourth smallest value? (a) 4 (b) z (c) 6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -136, -135, -134?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.01*34982\nAnswer: 140277.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1934, 3890, 5928, 8090, 10418?\n\"Answer: 7*z**3 - z**2 + 1910*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/126)\/((-7)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 8. Let l be n(6). Let x be (-294)\/(-245) - 5\/25. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8904180 divided by -9\nAnswer: 2968060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23.3 - -44.82\nAnswer: 68.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.097 - -11058528\nAnswer: 11058527.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113089.56ms to minutes.\nAnswer: 1.884826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5302, 10280, 14926, 19234, 23198, 26812?\n\"Answer: -v**3 - 160*v**2 + 5465*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 12*y**2 - 13*y + 10. Let k be m(11). Let a be (1\/(-20))\/(k\/(-712)). Let n = -31\/10 - a. Is n <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -5*i**2 + 0*i**3 - 1\/60*i**5 - 1\/6*i**4 + 1\/240*i**6 + 33 + 0*i. Find q such that x(q) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -53.09715.\nAnswer: 318.5829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 25*j**2 - 15*j + 9. Let r be y(13). Suppose -93*n + r = -90*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 + -154 - (4\/18 + (-3125)\/495).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppdd when four letters picked without replacement from pdjjddjdjpdjpjdjdj.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1736 + 5490 - 2013 - 786*n - 1739.\nAnswer: -786*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - y - 49 = -3, 0 = 4*h - 4*y + 56. What is the units digit of 5*(1 - 166\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 2905, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273976m in kilometers?\nAnswer: 0.000273976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:57 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 o, and 1 z when four letters picked without replacement from {o: 2, f: 2, i: 2, c: 5, z: 2, t: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011250771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 2. Let x(w) = w - 1. Let o(v) = -i(v) - 5*x(v). Let m be o(3). Suppose m = -3*b + 5*n + 143, 0 = -2*n - 2*n - 4. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*q - 2, -m = -158*q + 170*q + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1105)\/(-260) + -6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kxxoooocoxoxkookxo.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 1. Suppose x*c - 2 = c. Suppose c*o = 3*o - 5. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8 - 22. Suppose -m*q = -2*q - 4*q. Which is the closest to -0.1? (a) 4 (b) q (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -11, -2\/15, -1\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:50 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 2*o**3 + 17*o**2 - 9*o + 9*o.\nAnswer: 2*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4189485.\nAnswer: 3, 5, 29, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3618541\/686609 + 2\/18557. Which is bigger: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**4 + 0*y**5 + 2\/3*y**3 + 0 + 0*y + 5*y**2 + 1\/120*y**6. What is the derivative of j(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/12)\/((-3)\/2). Suppose 4*b + 2 = -22. Let j be 1 - (3 - (-14)\/b). Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 0.2, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 45571*u + 3235555. What is n(-71)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Suppose 836 = 41*s + 139. Calculate the remainder when s is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 - 125*u**2 - 2*u + 2. Let b(x) = -21*x**3 - 625*x**2 - 11*x + 11. Give 2*b(p) - 11*m(p).\nAnswer: 2*p**3 + 125*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56145 or -5?\nAnswer: 56145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/40 and -39\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 26 = 4. Suppose 0 = -4*f + f + 4*w + 1, 0 = -4*f - 3*w + 18. Let i(u) = -2*u + f - 2*u - 4 + n*u. Give i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.8 and 2230.98?\nAnswer: -17401.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*z, -15 = -5*z + j + 4*j. Let t(x) be the first derivative of 2*x**3\/3 + x**2\/2 + x - 2. What is t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1696099233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:06 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44055\/2310 - 1\/14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-10) + 389186\/70 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + -146. Let x = 167 + r. What are the prime factors of x?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.3, 2\/7, -0.022, -409?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2016 - 2015.99999057. What is c rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -475, 0.1, -2\/5, 14, -0.1?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 + 14136\/171)\/(8\/(-3))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660343 to the power of 1\/2, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 153, 10, 0.4?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -65.3.\nAnswer: -13.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54432 divided by 6?\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(192)*-4)*6)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*3*-4*(-6*(sqrt(325) + -1 + sqrt(325)) - sqrt(325) - sqrt(325) - (sqrt(325) + sqrt(325) + 2 + 0)))**2.\nAnswer: -846720*sqrt(13) + 107848809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905.9714693619 + 0.1.\nAnswer: 906.0714693619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 574473.3 nanograms in micrograms?\nAnswer: 574.4733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -525*i**2 + 42*i - 366163 wrt i.\nAnswer: -1050*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.1. Let c = 2 - 10. Let o = -7 - c. What is the second biggest value in -2\/17, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.61311m in nanometers?\nAnswer: 24613110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5269 - 2642 + 14*m - 35*m - 29*m - 2641 in the form x + o*m and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 743815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373131632?\nAnswer: 2, 29, 61, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -388, -866, -1546, -2434, -3536?\nAnswer: -4858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 1, r: 4, w: 11}. Give prob of picking 2 w, 1 a, and 1 r.\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m - 0*m. Let l = m + 1. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/4)\/(90\/(-60)))\/(6\/(-3))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 6*h**2 + 11 + 2*h**2 - 5*h**2 + h**2 + (-3*h - 3*h + 4*h)*(3 + 2*h - 3) + 2*h**2 - 2*h**2 + h**2 - 5*h**2 + 4*h**2 + 0*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0538 + -2.\nAnswer: -2.0538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/(1\/(-7))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3342175 and 875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204634794 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n. Let a(p) = -6*p**2 + 20*p**2 - 5*p - 10*p**2. Let b(v) = -a(v) - 5*h(v). Let y(r) = 9 + 0*r + 2*r + 2 - 5. Determine b(y(u)).\nAnswer: 4*u**2 + 24*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(1 + 1)*1. Let r be (-3 - n\/3) + 15. What is the greatest common factor of 154 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -5*q + 34, 0 = 4*y - 3*q - 57. What is the lowest common multiple of y and 58?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + 16567?\nAnswer: 17026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, i: 3, y: 1, p: 1, o: 2, k: 1}. What is prob of picking 1 f and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc + -18c672?\nAnswer: -18c595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 26, 31, 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 33 = -2*v. What is the least common multiple of 0 - 3\/(-3) - (-23 + 0) and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 43, -3, -183, 2.\nAnswer: -183, -3, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011052 (base 6) in base 11?\nAnswer: -182531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 101*o**2 - 351*o + 1068. Let n be j(3). Is n less than or equal to 922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 1069920?\nAnswer: 3209760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (83 - 99)*1\/(-16). Is u less than -22\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83246572?\nAnswer: 2, 73, 285091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*w - 4002 + 2981 = 4049 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 48 = -4*c, 2*c - 31 = 2*o - 5*o. Differentiate -9 - 181*g + 181*g + o*g**3 with respect to g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*246\/328*5\/((-45)\/(-138)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2*x - 2. Let t(l) = l**2 - 3*l + 3. Suppose 12*h - h = 66. Suppose -41*a = -39*a - h. What is a*t(r) + 5*j(r)?\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1950 - 651299\/334. Let a = 5513\/668 - d. Is a >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 13. Let q(a) = a**3 - 3*a**2 - 3*a - 3. What is the smallest common multiple of p and q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/45114 and -6\/11461.\nAnswer: 7082898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9380*m - 37602. Determine a(4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(5 - x + 14 + 0) in the form i + q*x and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 13*p + 13. Let o be q(10). Let c = o - 1065. Is (-1)\/2 - c\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*s + 12222 + 98. Solve -s + 204 = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742374323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 127, 232, 375, 568, 823, 1152?\n\"Answer: 2*p**3 + p**2 + 62*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:33 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rriioioiiiiriooi. Give prob of picking 3 i and 1 r.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)\/(-3)*1*-1. Suppose o + q = 3. Suppose 1737 = 4*g + 2*d - 2293, -5036 = -5*g - o*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/265 and 10\/15953.\nAnswer: 79765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2 = -47. Let m(d) = d**3 - 6*d**2 + 2*d - 5. Let f be m(6). Calculate the greatest common factor of b and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvnn when four letters picked without replacement from nvvvvnvnvvvvnvvnnv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 670556 - 24?\nAnswer: 670532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.16 + 0.16. Let u = -6.76 - f. Let n = -0.04 + u. What is the closest to -3 in n, 0.5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -1\/4, 313, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -4982 (base 12) in base 7?\nAnswer: -33134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 294.9 - 295. Let f = -279 + 282. What is the closest to j in -5.5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220663?\nAnswer: 220663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4)*q*q**(-9)\/q*q)**47\/(((q\/(q*q\/(q\/(q**5*q))*q*q))\/q**(-2))\/(q*(q**(2\/19)*q)\/q*q**(-3))) assuming q is positive.\nAnswer: q**(-9745\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 + 7968*x**2 + 103385*x - 238650 = 0. What is x?\nAnswer: -7955, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1907, 7872, 13837, 19802?\n\"Answer: 5965*x - 4058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/8)\/(-4 + (-55)\/(-20)). Let t be (4\/10)\/((-3)\/5). Put t, -2, u in decreasing order.\nAnswer: u, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, p: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37.7 and -267?\nAnswer: 229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:43 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182845 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 2439*a - 231942.\nAnswer: 3*(a - 86)*(a + 899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = -b. Let o be (-2 - 1) + (-11 - -4). Let p(r) = -r**2 - 12*r - 6. Let j be p(o). What is the highest common divisor of b and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 5*u**3\/3 - 3*u**2\/2 + 10*u. Determine p(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16 and 5322\/252 - (-2)\/(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (209*s + 428*s - 144*s)*(-3*s + 2*s + 6*s) to the form y*s**2 + h + q*s and give y.\nAnswer: 2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6485 + -20?\nAnswer: 6465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c + c + c - 4*c + c + (59*c - 19*c - 20*c)*(-77 + 42 + 40) - 2*c + c - c.\nAnswer: 97*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 5 + -2 + sqrt(180))*-6*-2)**2.\nAnswer: -1728*sqrt(5) + 26064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-27)*(20\/45)\/(64\/288)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12250613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7395 divided by 435.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p - 10. Let k be 66\/14 - (-4)\/14. Suppose 0 = -7*s + k*s. Suppose s = 3*r + m + 3, -m = -0*r + 2*r + 3. Determine v(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 + 5*g + 6*g**2 + 3 + 1 - 1 + 2*g**2 + (0*g + 0*g + 2*g)*(-9*g - 2*g + 2*g) to r*g + k*g**2 + b and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394\/2061 - 58\/229. Which is the nearest to 0.026? (a) f (b) -1\/4 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 19*k**2 - 19. Let a = 308 + -289. Give q(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90925305 is divided by 206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*t**5 - 11113*t**2 - 31*t - 276649.\nAnswer: -2320*t**3 - 22226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + o**2)*(-18 + 18 - 3*o**3) - o**5 + 2*o**5 + o**5.\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376 + -375.7478. Round l to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/4? (a) 0 (b) 0.1 (c) -1.8642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + ((7 - 6) + -5 - (0 - -14))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -935 times 4.1\nAnswer: -3833.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 7:54 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1742 = 12*r - 5578. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*s + 2. Let r = -8 - s. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m. Let c be d(0). Solve 2*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000692658956 to 6 decimal places.\nAnswer: -0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -29. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 4\/3 (d) 1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/55, 2\/5, -4\/9, 0.5, 1\/3, -3, 382?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1071 - 685. Let u = 40.5 + l. What is u rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(125) + sqrt(5)).\nAnswer: 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 31, 0, -2 in decreasing order.\nAnswer: 31, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**2 + 5*o - 5. Determine l(2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*v**6 + 439*u*v**3 - u*v**2 + 2*u*v + 123 wrt v.\nAnswer: -240*u*v**3 + 2634*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(8\/(-28) - (-12)\/(-56)). Let u = 2 - p. Suppose u = -17*j + 18*j - 3. Solve j*o - 27 = -12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-1\/12))**(-2\/41) assuming z is positive.\nAnswer: z**(-25\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26084375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-3)\/(-66) - 0. Let u = -6 - -6.3. Which is the second smallest value? (a) n (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:15 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, l: 1}. What is prob of picking 1 o and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqqqqqoqqoeeooo. What is prob of picking 1 e and 1 q?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 1153*v.\nAnswer: 1153*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 + 5*a - 7. Give f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808 at most as big as 3806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -7595, -25377, -59995, -117059, -202179, -320965?\nAnswer: -479027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3891 and 24726008?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/3)\/(1\/(-3)). Let u(j) = j**3 + 11*j**2 - j - 8. What is the units digit of u(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkq when three letters picked without replacement from {q: 1, l: 1, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4190 times -510.6\nAnswer: -2139414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(119))\/sqrt(7).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140439208*u**3*y**2 + 27*u**2 + 2*u*y**2 - u*y - 62*u - y**2 + 30*y wrt u?\nAnswer: -842635248*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -31*t**2 + 22. Let u(w) = -3*w. Calculate v(u(a)).\nAnswer: -279*a**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**8\/112 + v**7\/105 - v**6\/40 - v**5\/30 + 3*v**2\/2 - 2*v. Let z(x) be the first derivative of p(x). Factor z(t).\nAnswer: t**2*(t - 1)*(t + 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7. Let k(q) = q. Let z(l) = h(l) - 2*k(l). Give z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 3\/4, 1732?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6)**5)**(-33) assuming o is positive.\nAnswer: o**(-990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1077? (a) 0 (b) 1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4844712*c**3 - 18872*c**2 + 2696. Let u(a) = 5389*a**3 - 21*a**2 + 3. What is 3*m(z) - 2696*u(z)?\nAnswer: 5392*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 575397, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/16, -3, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-14 - -1 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**3 - 1\/2*s**2 - 2 + 0*s - 1\/4*s**4. What is the second derivative of r(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/108*3 - -1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -4, -6, 9, -3922 in descending order.\nAnswer: 9, 5, 2, -4, -5, -6, -3922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1202 - 1079. Calculate the remainder when p is divided by 73.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:33 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 101, -0.5, -3\/7?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:47 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)*z**5\/z)**(-37) assuming z is positive.\nAnswer: z**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + (sqrt(99)*2 + sqrt(99) - sqrt(99)))\/sqrt(3))\/(sqrt(21)\/(sqrt(28)\/(sqrt(16)\/sqrt(4))))*-4.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 518423 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 + 2*c**2 + c - 3. Give o(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtt. What is prob of sequence xtt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + -1 + 21 + -19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/9 (c) -503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -37. What is the third derivative of -20*s**6 + 8*s**6 - 32*s**2 + q*s**6 wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/16*2*10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bbbbbbbbbmbbbbbbbbbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4 - 15)*-1. Solve 0 = 5*x - j + 10, -2*x - 4*j + 7 + o = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 2*v - 2*v)*(2 - v**3 - 2) + (3*v**3 + v**3 - 3*v**3)*(v + 1 - 1) + (0*v**3 + 0*v**3 + 2*v**3)*(-3*v + 4*v - 2*v).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c - d = -15, -2*c + d + 15 = 0. What is the greatest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:47 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/2130 (b) 4\/5 (c) 4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 124.9999912. Round c to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 515961 or 515960?\nAnswer: 515961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -1. Let a(f) = -f**3 - 5*f**2 - 8. Let b be a(u). Suppose 39*o - 6872 - 1864 = 0. What is the highest common factor of o and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12374, -12373, -12372?\n\"Answer: g - 12375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 21*k + 28. Let x be g(7). Let w(o) = -o**2 - 19*o + 41. Let j be w(x). Let z be ((-1)\/10)\/((-15)\/(-36)). Which is greater: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56273 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233 + 125 + 31468*h - 358 to the form y*h + s and give y.\nAnswer: 31468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16518 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmttttmtttt. What is prob of sequence ttt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 280*d**4 + 665*d - 1019. What is the first derivative of v(o) wrt o?\nAnswer: 3360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/48 and 93\/9824.\nAnswer: 29472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + c + 0*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + -0.13. Let j be -4 - 39\/(-12) - -1. Which is the closest to j? (a) w (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.08 and 1.67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -868\/2195 + -2\/439. Which is the nearest to n? (a) 0 (b) 1.9 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 6*v**2 - 107*v + 8. Let c be o(6). Let k be (112\/(-6))\/(1\/(-6)). Calculate the highest common factor of k and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 + -154. Find g such that -8\/9*g - 8\/9 - 2\/9*g**s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2. Let n(x) = -x**2. Give a(p) + 5*n(p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1554 - -1551. What is the closest to 0.1 in 2\/7, w, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33159255 and 3.\nAnswer: 33159255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 2, -18, -46, -82, -126?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250 + 352. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/h**43)\/h)*h\/((h\/h**(-2\/43))\/h))\/(h*h\/(h\/(h*h*h**(-2)))*h**(9\/2)) assuming h is positive.\nAnswer: h**(3307\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/35742259 and 4\/413?\nAnswer: 35742259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/30 - 7*u**4\/24 - 4955*u**2. Let t(a) = a**2. Determine j(t(d)).\nAnswer: 2*d**4 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*((192\/(-210))\/16)\/(2\/5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*z**2 - 251*z**2 - 4 + 1 - 3*z**2 - z + 459*z**2 to s*z + d + a*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 4. Let q be v(6). Let f(l) = -l + 10. Let p be f(7). Suppose -q*n - 27 = -p*k - 2*k, 0 = -n - 1. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 3*i - 201, -4*i - 16 = 0. What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 785213786?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -566ca + 2?\nAnswer: -566c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463 - 360. What is the remainder when 195 is divided by u?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29454847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 6*a**2 - 18*a - 12. Let d be f(-8). Suppose 0 = -3*k + 4*i - 15 - 4, 0 = -k + i - 5. What is the units digit of ((-122)\/d)\/(k\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 102?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -0.2 (b) -1\/4 (c) 5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1083487709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -28*t**2 + 2*t. Let n(q) = -81*q - 12. Determine n(g(f)).\nAnswer: 2268*f**2 - 162*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2148*y + 529426 + 472106 = -2106*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 571, 876, 1185?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let n be j(-4). Let f = -134 + 136. Let u be f*1\/8*(0 - -1). Sort n, u, 1 in ascending order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -22. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2911, 2899, 2855, 2761, 2599, 2351, 1999?\n\"Answer: -3*j**3 + 2*j**2 + 3*j + 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25916.59 centuries?\nAnswer: 31099908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-22)*(-35)\/(4655\/(-76))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -21. Suppose -781*x + 792*x = 0. Solve x = -4*p - 2*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 715\/90 + 36\/(-81) + -8. What is the fifth biggest value in 0.2, k, 3\/16, 0.5, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 21660.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 + -0.23. Which is the third biggest value? (a) -1\/2 (b) -1\/100 (c) u (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**7\/2520 - c**6\/360 + c**5\/120 - c**4\/8 + 3*c**2. Let b(n) be the second derivative of o(n). What is q in b(q) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrdrr. What is prob of picking 4 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.028 and 5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(2 - 2 + 2*o)*(1 - 3*o - 1)*(4 + 5*o - 4) to q + d*o**2 + g*o + j*o**3 and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14464 - -5?\nAnswer: 14469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 + 9 - 9 + (-3 + 3 + 18*z**3)*(7*z**2 + 5*z - 5*z))*(2 - 5 - 3).\nAnswer: -762*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1749 + -1766 + -15 + (-4 - -2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 15*j + 1. Let h be x(-4). Let o be h + -1 + (-102)\/(-17). Calculate the greatest common factor of o and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 44\/19, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -79, -103, -135, -175, -223?\n\"Answer: -4*k**2 - 4*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (32 - -3) - 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/7 - 318\/133. Let q be (1\/(-3))\/(6\/2). What is the third biggest value in -2\/5, q, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -50. Suppose 4*d + 3*j = 271, 7*d - r*d - j = 283. Suppose d = w - 3*u - u, -4*w - 4*u + 200 = 0. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*y + 527 = 6*g, -799 = -3*g - 4*y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Let g be 28\/w - 10\/15. Suppose -g*n + 172 = 5*d, 3*d + 34 = 4*d + n. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50365*d + 2387*d**3 - 50365*d - 7*d**2 + 7*d**2.\nAnswer: 2387*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.7852614 - 2.7971846. Let s = b - -30.58. Round s to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 313315736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 445*q - 1796.\nAnswer: (q - 4)*(q + 449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkk when three letters picked without replacement from {m: 2, k: 6, j: 5}.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/6)\/5*93. Let q = k - 13. What is the greatest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1107, 1195, 1311, 1467, 1675?\n\"Answer: 2*j**3 + 2*j**2 + 68*j + 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 427*l - 126. Let j be q(6). Let t(k) = -1218 - 1218 + j - k. Let v(g) = -48*g**2. Determine t(v(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 3*l - l, -5 = -2*l + r. Suppose -3*u = -9, 0 = -l*k + 2*u - 4*u + 10. What is the derivative of d - 2*d + d - 2*d**k + 1 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -9597\/7954?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/(-17))\/64*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**4 - v**2 + 1. Let w be (-12 - -11)*(-5 - -2). Let g(y) = -y**4 - 8*y**3 + y**2 + 8*y + 3. Let p(n) = w*j(n) - g(n). Suppose p(i) = 0. Calculate i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5125\/2050*((-1426)\/10 - 3)*2\/(-8)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 4*l - 68. Let c be o(5). Factor 2\/5*r**3 + 4\/5*r**c + 0*r + 0.\nAnswer: 2*r**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, -1, -6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 19 - -21) + (-18 + 95 - 19)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**4))\/h*h)**(11\/3)\/(h**1)**(-1\/53))**(-48) assuming h is positive.\nAnswer: h**(46592\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39409, 78817, 118225, 157633, 197041, 236449?\nAnswer: 275857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20068500 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598897, 1197769, 1796617, 2395441, 2994241?\nAnswer: 3593017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22200222011 (base 3) to base 2.\nAnswer: -101001110100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09901597 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 divided by -9967?\nAnswer: -250\/9967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 469085.4 minutes?\nAnswer: 28145124000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 13*h**2 - 11*h - 7. Let o be t(12). Let j = o - -3. Solve 0 = 3*a + 2 - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooh when three letters picked without replacement from {h: 1, o: 4, j: 6, x: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 5*k - 4*k - 4*r, 2*r = 0. Let o = k - 76. Suppose -4*d + 146 = -o. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 682 - 671. What is the tens digit of (-10824)\/(-198)*(-1 - y\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f - 1215 + 3*f**2 - 462*f - f = 0.\nAnswer: -3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*c**3 + 34 - 93 + 31 + 7*c**3 - 6*c**2 + 27 to the form p + u*c + b*c**2 + y*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646987513 is divided by 2426?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.39 and 15.3?\nAnswer: -143.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6. Sort h, -5, 2.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and -0.0155453.\nAnswer: 12.9844547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {q: 1, g: 1, j: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 73382 (base 9) to base 16\nAnswer: bd2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + k = -38, -2*l = 2*l + k - 70. What is the remainder when 106 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**3 - 7*f**2 - 9*f + 7. Let n(t) = -3*t**3 + 4*t**2 + 5*t - 4. Let r(s) = -4*k(s) - 7*n(s). Let u be r(2). Is u\/((-8)\/4)*-3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122101221021 (base 3) to base 9.\nAnswer: 571837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/7 + 500316*o\/7 - 31289512482\/7 = 0.\nAnswer: 125079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12519 = -7264*v + 7260*v + 101453. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 7, 0.5, 4 in decreasing order.\nAnswer: 185, 7, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 7*p**5\/20 + 5*p**4\/12 - 3*p**2 + 2*p. Let m(n) = -n**3 - n**2 + 1. Give -5*m(d) - t(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23932\/1287 + 42\/143. Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551493?\nAnswer: 3, 29, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -230206, -3 in decreasing order.\nAnswer: 16, -3, -230206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) -0.5 (b) 4 (c) 1\/8 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-78 + 185) - -122?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 172. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181549613, -181549615, -181549617, -181549619?\nAnswer: -181549621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5287 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 113. Let w(s) = m*s**2 + 225 - 226 - s - 4*s**2. What are the prime factors of w(-8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35bab (base 14) in base 16?\nAnswer: 200cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6186.292 + 6141.09389. Let n = -40.86 + -4.34. Let h = n - s. Round h to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - ((5 - 11) + 12). Let s be (g - -4) + 64\/8. Solve -5*n + 5 = -2*t, -5*t + 0 = -s*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - b**2 + 2. Let v be -3 - ((-42)\/3 - -1). Let i = 12 - v. What is the units digit of l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100010001101 (base 2) to base 14.\nAnswer: 6aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.2 * 84.\nAnswer: 856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20131\/11739 + 1\/1677. Let a = u - -50\/21. Find c such that 0 - a*c + 2\/3*c**3 - 8\/3*c**2 + 8\/3*c**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/6))\/v**6*(v**(-1\/14)\/v)\/((v*v**(1\/8))\/v*v*v) assuming v is positive.\nAnswer: v**(-1349\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 + 0 = 0. Let f be (2\/(-4))\/(3\/66). Let v = p - f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p**2 - 3883*p - 192. What is the remainder when (-3)\/(-2) - 555\/(-10) is divided by k(111)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = -2*z, -z + 15 = 19 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d - 20 = 0. Let v = -1 + 2. Is 3 a factor of d + -6 - (v + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 6*n + 4*n + 0 + 2*n + 0 + (3*n - 4*n + 3*n)*(-1 - 4 + 6) - 1619 + 1619 - 43*n.\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4982852*a - 11888570?\nAnswer: -4982852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9246*l**3 + 4*l**2 - 1. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**5*h**(14\/9) assuming h is positive.\nAnswer: h**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r**(1\/3)*r)\/r*r)\/r)**(-35\/2)*r**(-10)*r*r**(6\/7) assuming r is positive.\nAnswer: r**(-661\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*s**3*w**2 - 1973*s**3*w + 5*s**2 + 31*s*w + 47660*w**2 wrt s?\nAnswer: 234*s*w**2 - 11838*s*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6018*l**3 - 7108?\nAnswer: 18054*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(550)\/sqrt(10) + sqrt(55))*2)\/sqrt(5))**2 + -2).\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.2963 days in hours?\nAnswer: 2863.1112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1139.4 - 1139. Suppose -k - 3*h + 1 = 0, 2*h + 0 = -5*k - 21. What is the biggest value in 1\/9, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 200?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = 0, 2*u - 2*c - 16 = 2*c. Suppose 0 = -2*k - u*k - 18. Is 8 a factor of 13 + (-4 - (k - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -18, 1, -2, 7 in increasing order.\nAnswer: -18, -5, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 10 = -3*k + 15*a, k - 4*a = -25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 993674 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 44 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5230, 10458, 15712, 20992, 26298?\n\"Answer: 13*j**2 + 5189*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-7)\/4 - -1). Let w be (6 - 0) + (-2 - 4). Let v be (75\/(-10) + 5)*(-2 - w). Solve -2 = g*p + 4*t - 1, -v*t = -2*p - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2442 + 2446. Let c = 15 + -25. Let o be 3*(c\/(-3) + 0). Calculate the greatest common factor of o and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -2 + w**2 + 10\/3*w**3 + 0*w + 2*w**4. Find i such that c(i) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5.01. Let p be (16\/24 + 2)*3\/(-2). Which is the second smallest value? (a) p (b) 0.5 (c) w (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25044.79 millennia to decades.\nAnswer: 2504479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rinvvoyyovoivvi. What is prob of picking 1 v, 1 i, and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 389611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 + 103. What is the units digit of d(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j - 117. Let x be s(-15). Factor -6\/5*v**2 + x*v - 6\/5.\nAnswer: -3*(v - 2)*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -15 + 0 - (184 + -185)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -15. Let p(t) = -7*t + 4. Let d be p(6). Let q = -20 - d. Calculate the remainder when q is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.15 (b) -2 (c) -55 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3029 + 3029 - 83*w**2)*(-4 + 4 + w) - 1 + 2*w**3 + 0 - 1 + (1 - w**3 - 1)*(1 + 2 - 5).\nAnswer: -79*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 2. Let m(h) = -h - 1. What is -3*m(j) - u(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and 5.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 2. Suppose x + 2 = -0, -j + 2*x = -6. Let a(d) = -d**3 - 2. Calculate j*w(h) - 3*a(h).\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let p(t) be the first derivative of -11*t**2 - 3*t + 8*t + x + t. Let v(k) = -7*k + 2. Give -5*p(j) + 16*v(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 3*z - 25, -31*z = 272*v - 276*v + 195 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2\/4 + 171*n\/4 = 0.\nAnswer: 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/17)*d)\/((d**12*d*d)\/d)*d*d*d**(1\/18)*d*d*d**17)**(19\/5) assuming d is positive.\nAnswer: d**(57779\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64932541?\nAnswer: 64932541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 50. Let n(k) = 2*k - 11. What is 6*n(x) + 2*p(x)?\nAnswer: 2*x - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1216)\/(-54112) + (-5067)\/(-267)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5143276 and -61\/18.\nAnswer: 46289484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*d**2*y + 7*d**2 + 2*y + 186 with respect to d.\nAnswer: -52*d*y + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3523 from 14953713.\nAnswer: 14957236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*k - 31 = -554*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 224. Let u be y(-28). Which is the closest to 2\/3? (a) 4 (b) -3 (c) u (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643872 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 95\/35 - 3 - 32\/(-14). Let v(z) = -3*z**2 + 20*z**t - z**3 - 6*z + 16 - 11*z. Let q be v(16). Solve q = 4*a + 7*x - 2*x + 17, -3 = 3*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*5\/(-6)*(-232056)\/(-140640).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8713?\nAnswer: 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10893052 and 2742?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - (-5 - -7 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j - 87. Let q(b) = 15*b + 107. Let o(k) = 9*q(k) + 11*y(k). Let x(i) = -1. What is -o(a) - 6*x(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*h - 9 = 0, z + 152*h - 157*h - 5 = 0. Are z and -134\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/3 - 2*d**3 - 5*d**2\/3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 10*p - 12. Let r be n(-11). Let v = 1 - r. List the prime factors of 15\/1*v\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 19495 = 5*v, 0 = -3*v + 665 - 662. Calculate the smallest common multiple of q and 150.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 = -2*b. Let p = 17 - 8. What is the least common multiple of b\/5*(-4 - 1) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.161 + -0.161. Let u = 60.3 - h. Which is the closest to -34? (a) 0.2 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.077 - 0.577. Which is the fourth biggest value? (a) -0.3 (b) 5 (c) m (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33000 - 11?\nAnswer: 32323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758, -754, -748, -740, -730, -718?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 8*n**3 + 3*n**4 + 10*n**3 + 2*n + 2 - n**4 - 3*n**2 to u*n**4 + w*n**3 + r + b*n + l*n**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -103*b + 14. Let t(m) = 203*m - 27. Calculate -6*t(s) - 11*z(s).\nAnswer: -85*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 502685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 4*w + 58 = 0, -4*i = -w + 42. Find the common denominator of (-2)\/(-5) - 286\/15 and 284\/140 + 6\/i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 + -7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 293198640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1. Let m(n) = 37*n - 9. Determine m(r) + 5*u(r).\nAnswer: 37*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.44684949 rounded to 2 decimal places?\nAnswer: -91.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 27. Solve -5*t = -i*t - 4*a, 4*a + 16 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/6)*h*h**(-25) assuming h is positive.\nAnswer: h**(-149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 34*d - 10*d.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k. Let f be (k - 3) + 1 + 3. Put f, -2, 3 in descending order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2727*u + 3749 = -346*u - 36728 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4*c + c + 6*c - 3 in the form z + d*c and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25120 is divided by 1491.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*m + 270 = 6*u, -u - 4*m = -71. Let k = 255 + u. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/12270 and 79\/22?\nAnswer: 134970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, k: 1, p: 1, c: 2, v: 7}. What is prob of sequence kjv?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2a588 (base 11) to base 14\nAnswer: -11ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-h - 9*h + h)*(-3 + 2*h + 3) + 22*h**2 - 5*h**2 + 21*h**2)*(-2 - 2*h + 2) as t + d*h + l*h**2 + o*h**3 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 11. Let y be (-5)\/(-40) - ((-47)\/8 - -2). Is 13 a factor of y\/z + 286\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0130156 - 1632?\nAnswer: -1631.9869844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/4)\/(4\/(-16)). Let s = 5 + x. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 3*d**2 + 42*d + 295 - 122 - 85.\nAnswer: -3*d**2 + 42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880)*-5)\/sqrt(11) + -1 + 4*(-4*sqrt(5)*-3 + 0))**2.\nAnswer: -56*sqrt(5) + 3921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783525 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 206\/9*r**2 - 56\/9 - 160\/9*r - 14\/3*r**4 + 268\/9*r**3 = 0.\nAnswer: -1, -2\/7, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2148 = -49*f + 9939. What is the third derivative of 43*z - 23*z - 22*z - f*z**5 + 34*z**2 wrt z?\nAnswer: -9540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40937217 rounded to the nearest 10000?\nAnswer: 40940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*w - 5*w = -3, 2*x - 70*w = 6*x + 194 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*g + 32 = 0, -516 + 495 = 5*q + g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 - -425. Suppose 2*w - o - 165 = 0, -2*o + 145 = 4*w - 165. Let g be b\/8 + 10\/w. What is the highest common factor of 209 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(450))\/sqrt(10) + sqrt(45) + -2*sqrt(1125))\/((-1*sqrt(99))\/sqrt(11) - sqrt(9) - (sqrt(9) - (1*sqrt(9) - sqrt(9))*2)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199 or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8625181 - 8624792.99757. Let l = t + -388. What is l rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 207.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*q - 4, -6*u + 3*q - 7 = -2*u. Is u\/4 + 2550\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1266\/35 != -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 180, 1627, -3, 1 in ascending order.\nAnswer: -5, -3, 1, 180, 1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d**2 + 120. Let g(b) = b**2. Give g(u(f)).\nAnswer: 169*f**4 + 3120*f**2 + 14400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -1777369.\nAnswer: -63\/1777369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -20. Let o(s) = s**3 + 9*s**2 + 5*s - 1. Let t be o(k). Suppose 3*i + 2 - t = 0. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*t*x - 96109*n*t - n*x - 21*n + 1441*t*x - 2774*t wrt n.\nAnswer: 2*t*x - 96109*t - x - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 2*t - 6*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*q - 160, 0*q + 51 = l - 3*q. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**4\/24 - x**2. Let t(k) = 6*k - 13*k + 4*k. What is s(t(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:47 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*y - 7 + 23, y = -2*w. Suppose w*i + 4 + 0 = 0. What is the third smallest value in -3\/2, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.0159.\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + r - 7*r + r + r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200 + 198.97. Let q = b + 1.1. Let x = q + 4.93. Put -4, -3, x in descending order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*10.33767.\nAnswer: 4.135068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + sqrt(2) + sqrt(8)\/sqrt(4))**2.\nAnswer: -16*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1371557 by -20471.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 25157059.\nAnswer: 25157059.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(3\/(-42)). Suppose 12 = 2*x + 2*u, -2*x + 31 = 5*u + v. Let j(q) = -2*q**2 - 2*q**2 - 3 + 6*q**2 - q**x + 3*q. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 + 31*d - 6. Let g be s(10). Put 2, 5, g in increasing order.\nAnswer: 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(7) - sqrt(112))**2 + (sqrt(28)\/sqrt(4)*4)**2 + sqrt(7).\nAnswer: sqrt(7) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -11. Let m(h) = -h**2 - 5*h + 5. Calculate m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1\/633 (c) 23 (d) -1\/2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 624824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*p**5 + 24*p**4 + p**3 + 3*p**2 + 3562366*p wrt p.\nAnswer: 3160*p**3 + 288*p**2 + 6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-10\/9) assuming k is positive.\nAnswer: k**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13955 * 6.\nAnswer: 0.8373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 12*s - 15. Suppose 7*d - 4*m + 27 = 8*d, 5*d = 2*m + 47. Calculate b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13)\/(13\/(-96)) - 4 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, -2\/7, 5\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5\/4 (b) -0.2 (c) -6\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k = 60*k - 62 - 28 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 27*n - 20. Give o(-9).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.89, -17, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332504 and 4725106?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/112*28*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61305929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.5 - -7. Let g = 23.78 + -0.58. Let x = u + g. What is x rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = 63. Let k be 0*(2 - f\/12). Let h(x) = -x - 1. Let t be h(-5). Solve j - z - 1 = 0, k - 4 = 2*j + t*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:39 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -17. Let h = 44.8 + -50. Let y = -0.2 - h. What is the second smallest value in k, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/3*(1 + 122)*-1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12841*r. Let y(s) = 504*s**2 - 405*s - 505*s**2 + 405*s. Calculate y(a(k)).\nAnswer: -164891281*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1)\/(((-21)\/(-318))\/(-7)). Suppose -4*u = -3*u + 2*b - s, 5*u - 3*b - 548 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -34. What is the second derivative of -16*u + 4*u**2 - 4*u**2 + 11*u**k wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55761, -223033, -501819, -892119?\n\"Answer: -55757*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 409, 506, 583, 634?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/5220*11*4. Let s = -1825\/2088 - r. What is the common denominator of 83\/40 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 16. Let u(n) = 4*n**2 - m*n + n**3 + 10*n - 1 - 5*n. Let p be (-9)\/(-6) - (-27)\/(-6). What is u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 7. Let r = x - 10.89. Let u = 6.11 - r. Is 0.1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 7. Let r(m) = -m**3 + 8*m**2 - 3*m - 10. Let n = -31 + 45. Calculate the lowest common multiple of r(f) and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2579*i**2*k**2 + 2*i**2*k + 311*i*k**2 - 11645189*k**2 wrt i?\nAnswer: 5158*i*k**2 + 4*i*k + 311*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {l: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81569484 and 163138968?\nAnswer: 163138968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10994655 divided by 21?\nAnswer: 523555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51462392, 51462389, 51462376, 51462347, 51462296, 51462217, 51462104?\nAnswer: 51461951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0120039 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a. Let g(r) be the third derivative of r**5\/15 - 3*r**3 + 6*r**2 + 17*r - 12. What is g(o(y))?\nAnswer: 324*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 816648564 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 24. Let p be q(-2). Solve -p*c - 12 = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 44*u**2 + 43*u + 20. Let j be v(-21). What is the closest to 5 in j, 0, -3, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**2 + 2*g - 1. Calculate f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -185, -290, -395, -500?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3*f + 0)*(-f - 5*f + 0*f) - 3*f**2 - 2*f**2 + 4*f**2)*(11*f - 107 + 107 + (-4*f + 0*f + 3*f)*(2 + 1 - 2)).\nAnswer: 170*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -0.12\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.99 (b) 243 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*d - 303 = 406, -5*d - 1443 = -4*g. Does 50 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 3:11 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z + 18*z - 10*z + 0*z + 11. Let g be h(3). What is the highest common divisor of 51 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103022821 or 0.1?\nAnswer: 103022821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3251.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*p**3 - 2)*(3 - 2*p - 1 - 1).\nAnswer: -8*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y + 1174 + 4*y + 104*y - 1179.\nAnswer: 146*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 23129.\nAnswer: 29\/23129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(11)*-1 + (3 + (sqrt(11) + 3)**2 - sqrt(11))).\nAnswer: -23 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -158, -0.08, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -11)\/6*48. Suppose -p = 25 + 3. Let t = n + p. What is the remainder when 59 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 37*s**3 - 185*s**2 + 8*s + 23. Let z(k) = 13*k**3 - 61*k**2 + 3*k + 8. What is -6*a(v) + 17*z(v)?\nAnswer: -v**3 + 73*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 99*d**3 + 18*d - 40*d - 1 in the form j*d**2 + q*d + x + r*d**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + -8. List the prime factors of f\/30 + (-260)\/(-3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 - 340 - 343 + 275*q**3 + 1028.\nAnswer: 275*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648*k - 640*k - 7656 = 0. List the prime factors of k.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5847909 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/(g*g\/(g**(-8)\/g)))**(1\/15) assuming g is positive.\nAnswer: g**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 9:19 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49950 and 3774000?\nAnswer: 33966000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 - 4*l**3 - 4*l**3)*(55 - 26*l - 55).\nAnswer: 78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657212.\nAnswer: 2, 3, 138101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 4. Let z(g) = -g**3 - 2*g**2 - 9*g - 14. Let p be z(-2). Solve -4*v + 28 = p*q + v, -2*q - i*v = -16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*j*n - 8*b*n**3 + 14*b*n + j**4 - 194*j**3*n**3 + n**2 - 1 with respect to j.\nAnswer: 4*b*n + 4*j**3 - 582*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duqddzqdcuudd. What is prob of picking 2 d and 1 c?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in -3.6, 177, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 6?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7909*o**3 - 7909*o**3 - 537*o**5 + 89*o**2 wrt o.\nAnswer: -32220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*w**2 - 641*w**2 + 1284*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 1094 = -98176. Let q = -6045 + b. What is q rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/23596?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -95. What is the third derivative of -29*w**3 - 31*w**3 + i*w**3 + 5*w**2 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -12221?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 3197, 10849, 25775, 50399?\nAnswer: 87145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 11. Suppose -5*h + 69 = 3*n, -3 - 6 = -n + j*h. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 61 = -n, 0 = 5*c - 2*n - 137 - 18. Calculate the smallest common multiple of c and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 121556574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 864, 881, 902, 927, 956, 989, 1026?\n\"Answer: 2*y**2 + 11*y + 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -157253, -628978, -1415185, -2515874, -3931045?\n\"Answer: -157241*j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*m = -18392 - 6820 + 3161 - 629 for m.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:50 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100191863 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/15 + 2308*i**2\/15 + 27448*i\/15 + 9136\/3 = 0.\nAnswer: -1142, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7307 = -7375. What is the greatest common divisor of 850 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*b**6 - 66*b**5 + 2*b**2 - 47162*b.\nAnswer: 24360*b**3 - 3960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020521 minus 0?\nAnswer: -1020521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -5*g - p, 2*p - 4*p - 379 = -5*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133\/6 or 21?\nAnswer: 133\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7447.\nAnswer: 4\/7447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 25\/(-9) - (-1953)\/(-567)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2235, -4492, -6769, -9072, -11407, -13780, -16197, -18664?\n\"Answer: -z**3 - 4*z**2 - 2238*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2199, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 219*o**2 + 636*o + 420.\nAnswer: 3*(o + 1)*(o + 2)*(o + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111*(-266)\/16872)\/(-2*(-1)\/(-56))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-515)\/(-11) - (3 - 70\/22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 666*a**3 + a**2 - 3*a - 6. Let v be x(-1). Is v greater than -1335\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 15 + 18*a**2 + 6 in the form r*a**2 + m + k*a and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -49*p + 605. Let g be z(11). Solve -30 = 12*b + g for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7528279?\nAnswer: 11, 37, 53, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -81983.1984 rounded to the nearest 10?\nAnswer: -81980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 208 = 2*n - 18*n, 13 = n + 2*w for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.95 + 0.950002641. Round l to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s - 23*s + 39*s to a + k*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/117 + 2856\/936?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -25, -54, -101, -172?\n\"Answer: -b**3 - 10*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 2 = -16*y. Suppose -5*b = -4*d - 4878 + 248, -5*b - y*d = -4600. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 5005 + 17180 + 2467 - 5*q - q**2 + 280.\nAnswer: -q**3 - q**2 - 5*q + 24932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169109.\nAnswer: 3, 129901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21307894 to the nearest integer?\nAnswer: 4616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 4. Suppose 4*l = 4*g, 0 = -3*l + 6*g - 4*g + 2. Suppose -9 = l*r + 5. Give z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22844.65461 + -0.94539. Let m = 22846.799944 + f. Let y = m + -1.2. Round y to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 + 0.0637.\nAnswer: 35.0637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117510, -117577, -117710, -117927, -118246, -118685, -119262?\n\"Answer: -3*k**3 - 15*k**2 - k - 117491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 51457.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 97.735*0.4\nAnswer: 39.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6752.\nAnswer: 5\/6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2600 and 2850.\nAnswer: 148200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 24*a + 21, 2*a - 2*j = -130377 + 130391 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.026638.\nAnswer: -0.0106552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s = -58*s - 6. Solve s*v - 6 = -2*j - 0*v, -2*j + v = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 u when three letters picked without replacement from {u: 1, r: 6, h: 1, o: 4, e: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734 divided by 734.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4325192, 4325222, 4325254, 4325288, 4325324, 4325362?\nAnswer: 4325402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 + (-1 + 315 - -11) is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 3*z**2)*(3 - 6 + 5 + 13*z).\nAnswer: 39*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.7283015 + -172.4\nAnswer: -171.6716985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r + 8 + 2 + 34*r + 13. Let x(g) = -g + 1. Let c(s) = -16*s + 8. Let v(p) = c(p) - 12*x(p). Calculate 6*n(o) + 34*v(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 6*v - 3*v - 60, 2*j + 5 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*y**5 + 14*y**2 - 30*y**2 - 9*y**5 wrt y?\nAnswer: -1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13461 - 13485 = -6*h. Let c(m) = -2*m + 1. Let j be (-3)\/(-2) - (-7)\/(-2). Let q be c(j). Put 8, h, q in ascending order.\nAnswer: h, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4348 + 4852. What is the remainder when v is divided by 244?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -59339.\nAnswer: -6\/59339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24811000 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((4\/(-4))\/2))\/(15*20\/1350)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:15 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*-3*(((sqrt(171) - sqrt(171)*-1) + sqrt(171) - sqrt(171))*3 + sqrt(171)))\/((3*1*sqrt(576) - sqrt(576))*6))**2.\nAnswer: 9403\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684818 is divided by 935.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = -221138 + 537155. Let p = y + -4651. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384438609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 8, 10 in ascending order.\nAnswer: 1, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 129 - 129)*(-40*n - 57*n + 1 + 46*n).\nAnswer: -51*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1287 - -1306. What is the remainder when 113 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 - -70) + -21 + 32 - (24 - 14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k - 0. Suppose k*a = -2, 0 = 2*i + 2*i - 4*a + 16. Let s = 11 + i. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.53 - 71. Let j = m - -0.07. Let s = -0.5 + j. Which is the nearest to 1? (a) -3 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 - -88. Let p = y + -247.9. What is the third biggest value in -2\/9, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85572909 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 greater than 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 4*c. Suppose a = 3*w - 7, -4*w - 3*a = -9 + 4. List the prime factors of z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -96, -4, 4, -1259, -7 in increasing order.\nAnswer: -1259, -96, -7, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 - 95\/(-2). Suppose 2*b - 4*z - 4 = 0, 4 = 4*b - z - 4. Suppose -o = -b*t + 3*a, -6*t + 146 = -t + 2*a. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875724331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -785, 23 in descending order.\nAnswer: 23, -47, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 476 = -4*t, -n = -t - 3*n - 113. Let f = 125 + t. Suppose -f - 23 = -d. Calculate the greatest common factor of d and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -40\/597?\nAnswer: -40\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 108 = -73*r + 4*h, -22*r - 60 = -4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 272 = 4*a, 1329*l + 59 = a + 1334*l. Let v(u) = 4*u**2 + 6*u + 7. Let p be v(-6). Calculate the greatest common divisor of p and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/5 - 47092*t**4\/5 - 276782936*t**3\/5 + 4992834832*t**2\/5 - 26646548224*t\/5 + 35536774144\/5 = 0. What is t?\nAnswer: -11782, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 33*l**2 - 155*l + 1950. Give w(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 1 - (-8 + -2 + 6 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001111111001 + 1001?\nAnswer: -100010001111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 103, 20, -65?\n\"Answer: -p**2 - 78*p + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1197 and -121\/8906820.\nAnswer: 187043220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/77, 0.5 in decreasing order.\nAnswer: 0.5, -3\/77, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/12 + b**3\/2 - b**2 + 8*b. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-19)\/912*(-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2679*g + 5190*g + 8293*g + 898*g to the form v + l*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 1893?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-336)\/(-30))\/((-3)\/((-30)\/4)). Let p = s - 22. Solve -4*h - p = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) - (5 + sqrt(2)*-5)).\nAnswer: -6*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 420583*r - 2102971. Determine d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16*k = 11*k - 16, -2*f - k - 6 = 0. Which is the closest to -17? (a) f (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 35, -4, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 - 2\/(-9). Let k = 3.2 + -3.3. Is k less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6*p + 24214 = 4910, 0 = -v - 5*p + 4840. What are the prime factors of v?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:19 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-13 - -25) - (-25 + 7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 727 - 722. Is u smaller than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 - 3*z - 19. Let y be d(-7). Solve -y = 3*i - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 7:00 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -35092 < -33639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-4*(-1)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35089822*p**3 + 14*p**2 - 79*p - 822.\nAnswer: -210538932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1175\/282 + 10 - (-42)\/(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slea when four letters picked without replacement from lleaalsqlllqll?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**5 - 4*c**4.\nAnswer: -4*c**4*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 3*i**4 - 16*i**5 + (4*i - 2*i - 3*i)*(-3*i**4 + 2*i**4 - i**4).\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/588 or 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*9*((-14)\/4 - -3). Let z be (-2 - 84\/9)\/((-3)\/w). Let d = z + 11. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -680?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 - -1 - (532 - 531).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27355 + 177?\nAnswer: -27156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20464902 * -2.\nAnswer: 40929804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 2*v + 157*v**2 + 922*v**2 + 4*v + 228*v**2.\nAnswer: 1307*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 401*u + 253*u to the form r + x*u and give x.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzvn when four letters picked without replacement from zzsvwvnsvs?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 6. Let x be (-1)\/(24\/21 - 1). Let y(l) = 2. Calculate x*y(v) - 2*j(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -3, -260, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6050 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5855721 - -2.9144341. Let q = 3.48 - -0.02. Let l = c - q. Round l to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*a**3 + 901*a**3 - 230*a**3 - 234*a**3 - 222*a**3 - 156 as i*a**2 + u*a**3 + c + k*a and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - w**2 - 2*w**2)*(-w**2 - 3*w**2 + 2*w**2) + 0*w**4 - 9*w**4 + w**4 to the form u + n*w**4 + i*w + v*w**3 + x*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 2. Suppose -193 + 158 = 5*w, 50 = 5*q - 5*w. Which is the second biggest value? (a) -2 (b) l (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36*y - 10. Let b be l(-1). What is the greatest common factor of 39 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -189, -201, -213?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4842*i + 4841*i - 7, 0 = 4*i + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -232281830283.\nAnswer: -232281830274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/181937, 48 in decreasing order.\nAnswer: 48, 4\/181937, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, r: 3, a: 4, w: 2, p: 1}. What is prob of sequence pw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 7228308.\nAnswer: 7228310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u - 2*u)*(-5*u**2 + 1 - 1) + (-176 - 180 + 460*u + 356)*(3*u**3 - u**3 + 0*u**3).\nAnswer: 930*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:12 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130310 (base 4) in base 10?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.487 - -1.287. What is the third smallest value in 0, 1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 - 4*z**2 - 11*z + 2. Let j = -491 + 500. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/(-1505)*1463\/(-22))\/((2\/(-10))\/(-1))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*l = -854*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365106733?\nAnswer: 479, 762227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 1, y: 3, r: 1, o: 1}. Give prob of sequence oxr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + ((sqrt(425)*-1)**2 - sqrt(425)) + sqrt(17) + (-3 + 2 + sqrt(17))**2 + 5 + -1)*4.\nAnswer: -4*sqrt(17) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - -14)*(-15)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 25) + (2 - -10 - (12 - 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/50*-5*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - -1224?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - -0.07. Let l = 0.14 - 0.14. Sort l, x, -0.1.\nAnswer: -0.1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, -1014, -3400, -6738, -11028, -16270?\nAnswer: -22464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2157*w - 2161*w - t = 26, -w + 3*t = -26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(-3\/4)\/a*a)*a)**(-9))**(-4\/5) assuming a is positive.\nAnswer: a**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28900, 115817, 260652, 463405, 724076, 1042665, 1419172?\n\"Answer: 28959*p**2 + 40*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*t = -4515, 0 = -807*q + 810*q + 7*t - 2705. What is the greatest common factor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-53 - (-13 + -15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 2*w**2\/7 + 8*w\/7 - 8\/7.\nAnswer: -2*(w - 2)*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/84*(-45 + (-11352)\/(-253)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s\/(s\/((s*s\/(s**3*s*s))\/s))))\/s)\/s)\/(s*s*s\/s**(-11)) assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 774. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -49. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2580 - 2584. Let b(c) = -c**3 - 6*c**2 - 8*c - 4. Determine b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*x**3 - 80*g*x**2 + 142578*g*x - 4*g + 2*x**3 - 1045*x**2 + 10 wrt x.\nAnswer: -6*g*x - 160*g + 12*x - 2090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-10 - (1*-234)\/9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - -1328. Is w at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/26*(-40950)\/(-6930).\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3716, 0.3, -1\/56, 1\/6, 3, 0.2 in ascending order.\nAnswer: -3716, -1\/56, 1\/6, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/2, -5\/6, -0.18, -0.046, 1.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-12)*(-18 + 0). Let z = -42 - m. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.4 + -5.4. Let w = -9.7623076878 - 0.0376917422. Let c = w - u. Round c to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.135 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 20 = 0. Let l = -1 + 6. Suppose -4*b + k = -4*q, -4*q + 1 = l*b + 41. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r - 81*r = h - 22, 14 = 2*r + h. Let z = -2 + 1. Put z, 5, r in ascending order.\nAnswer: z, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2 - 5) + 2)\/((-1)\/92).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8225 - 690817\/84. Calculate the common denominator of 29\/60 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 5*r)*(-7 + 2*r**2 + 7) + r**2 - r**3 - r**2 + (-4 + 4 + r)*(r**2 + 3*r**2 - 3*r**2) - 59*r**3 + 1864*r**2 - 1864*r**2.\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/635 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.996 - -0.204. Let c = -19.24 - -0.24. Let n = t + c. What is the smallest value in 2, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 152*m + 1094. Calculate r(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let w be (-5 + 3)\/2 - -10. Let f = 11 - w. Let h(r) = 2*r**f + 3 - 3 - r**2. Determine h(x(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - (10 - (16 + -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28105 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, t: 3, p: 5}. Give prob of sequence ptt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/15 - 2248*h\/15 - 631688\/15 = 0?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 727 divided by -171045\nAnswer: -727\/171045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8733.3 - -8733. What is the closest to -19 in h, 2, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from gxygyaaggx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14079798 is divided by 42926?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twtiixwsswtxiwihx. Give prob of picking 1 w, 1 s, 1 x, and 1 i.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 21 + 51 - 16 - 2*w**3 + 20*w**4 as d*w**4 + j*w**2 + v + i*w + o*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4923636ml to litres.\nAnswer: 0.0004923636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 3. Let q = 26 + -32. Is g(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -322984?\nAnswer: -1291936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37a9257 - 3?\nAnswer: -37a925a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 + 187*x**3 - 18*x**3 - 101*x**2 + 91*x**2.\nAnswer: 169*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2346*k**5 - 12*k**2 + 56*k?\nAnswer: -140760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 m when three letters picked without replacement from {v: 2, i: 1, m: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1652285*d*p**6 + 3*d*p**2 + 4*d*p - 187*p**2 - 491*p wrt p?\nAnswer: 198274200*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 34.56. Let m = -3.62 + v. Let o = 0.18 + m. Which is the nearest to 1? (a) 0.1 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2\/8 + 3111*v\/4 + 14121 = 0. Calculate v.\nAnswer: -18, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24979 = -2*a, z + 69*a - 24975 = 66*a. List the prime factors of z.\nAnswer: 3, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 302, 39, -9, -2 in increasing order.\nAnswer: -9, -2, 0, 39, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1)*r*r**(-13))\/((r**(1\/14)\/r)\/(r\/r**(1\/2)*r)))**(2\/51) assuming r is positive.\nAnswer: r**(-106\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -2*r**7\/255 + r**6\/340 + 8*r**5\/255 - r**4\/68 - 2*r**3\/51 + 2*r**2 + 38*r. Let s(f) = 0. Calculate f.\nAnswer: -1, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*g - 5*g. Suppose 3*w - g = -w. Let u(c) = -c**3 + 4*c**2 + 2*c + 7. Give u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - l = 18, k + 31*l + 9 = 33*l for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -1 - 1)*516\/215. Find the common denominator of -14\/33 and (-107)\/n + -1 - (-15)\/(-15).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176779 is divided by 413.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 196?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 3, 10960, 5 in descending order.\nAnswer: 10960, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(2 + 2))\/2. Let d(n) = 3*n + 13. Let y be d(-7). Let c be (-12)\/(-48)*y\/(-1). Solve c*g + w*g = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*f**5 + 3*f**3 - 687*f**2?\nAnswer: -3000*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i + v = -6, -4 = -2*i + 2*v. Suppose -7*p = i*p - 154. Calculate the least common multiple of p and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i - 2*i**2 + 9*i**2)*(0 + 1 + 0).\nAnswer: 4*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132967 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7736 divided by -1934\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -2\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2 (c) -0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 35*k**2 + 51*k - 222. Is 6 a factor of n(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017228406 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10 and -45\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 221 = 11*h. What is the remainder when 196 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.5023 rounded to 1 decimal place?\nAnswer: 112.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007924 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-2)\/(-52)*13)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 12. Let b be 12\/(-14)*(-21)\/3. Let l be o(b). Which is smaller: l or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1600? (a) 0 (b) 5 (c) 1\/4 (d) -716 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -240. Let k be (-1005)\/(-25) - (-2)\/(-10). Suppose o = -5*p + 5*c + k, -p - c + 13 = p. Solve 0 = -3*b + p + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-381)\/(-4))\/(38429\/(-332) + 115)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*n + 63*n - 113*n + 277820. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10644755 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64082767 to the nearest integer?\nAnswer: 8005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*v - 3040 = 187*v. What is the smallest value in v, 1\/3, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2. Let v(i) = -20*i + 55. Let n(z) = z - 3. Let l(u) = 110*n(u) + 6*v(u). Give l(h(w)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-56) - (-184)\/1288)*16\/100.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r + 16. Let k = 3 + -3. Calculate y(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 34*a**3 - 345*a**2 + 658*a + 37. Determine s(2).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = x - 102 - 134, 0 = 5*x - 4*l - 1084. Find the common denominator of 26\/9 and x\/(-64)*24\/(-20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n. Suppose f - 6 - 2 = n. Suppose -4*z = 4*j - f, 0 = 2*z + 2*z + 3*j - 6. Solve 4*k - 5*q = -21, -3*q = -k - z*q - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 70. Let h = 87 + -65. Let w be l(h). Suppose 3*c - 24 = -3*d, -d + 22 = w*d - c. Let u(i) = -i**2 + 8*i - 6. Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0.5, 2, -0.5, -6560.79 in decreasing order.\nAnswer: 3, 2, 0.5, -0.5, -2, -6560.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59169678 divided by 9861613\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(363)*-1 - sqrt(3)))**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 3 = 0. Let p be (-2)\/(-6)*f*-1. Let z = 256 - 255.9. What is the nearest to 1 in z, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*a + 36*a + 40. Suppose 5*m = 5*z, z - 2 = -2*m + a. Solve 5*g = -q + 23, -3*q = -0*q + z*g - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 246.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.073, -4, -2, 4, 27, -0.05 in descending order.\nAnswer: 27, 4, 0.073, -0.05, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + z + 3*z - 21*z**3.\nAnswer: -21*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -239 divided by -1\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20848 + -40732. Let f = 7316 - k. Round f to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -7*w**2 + 0 + 3\/2*w**3 - 1\/24*w**4 + 0*w. Let g be i(6). Solve y + 0 = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13689)\/(-195))\/(-117)*(-11)\/((-44)\/(-30))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3415, -6751, -10095, -13453, -16831, -20235, -23671?\nAnswer: -27145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0 + r**3 - 1\/60*r**5 + r**2 + 5\/24*r**4 + 0*r. Determine l(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2873002227 + -0.2873. What is n rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -1\/2*v**3 + 0 - 2*v + 3\/2*v**2. What is the first derivative of u(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 2. Let b(j) = -j**2 - 3. Suppose 6*z + 8 + 4 = 0. Let s(r) = z*b(r) - 3*o(r). Let f(p) = -p. Give f(s(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 51*l**2 + 6*l + 59. Let q(c) = 44*c**2 + 5*c + 52. Let h(i) = -5*k(i) + 6*q(i). Let t(y) = 14*y**2. Calculate h(t(a)).\nAnswer: 1764*a**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136512 = 509*q - 149237 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-60) + (-3)\/(-15) - 693\/84.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipipiipiiiiiiipiiipi. What is prob of picking 2 i and 1 p?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeeiieijdiejji. Give prob of sequence hj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 375.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 302*r - 1762. Calculate v(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16877 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**(-3)*m)*m*m)\/(m\/(m*m*m*m\/(m\/m**(2\/15)))))\/(m**(5\/3)\/m*m**4))\/(m**(-2\/23)*m*m**(-6)*(m**(1\/4))**(8\/7)) assuming m is positive.\nAnswer: m**(17552\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 - 799\/5. Let s = -288 - -286. What is the third biggest value in s, a, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186993928?\nAnswer: 2, 11, 43, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:22 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 265.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -8053226986 and -4.\nAnswer: -8053226990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 31242358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14344 - 14348. Let w = 0 - -0.5. Suppose q - m = -0*q - 6, 4*m - 6 = -2*q. Which is the third smallest value? (a) -2 (b) x (c) q (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49874.1ml?\nAnswer: 49.8741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 2\/27, -22097 in decreasing order.\nAnswer: 2\/27, -1, -4, -22097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (93298941\/6)\/((-1)\/(-2)). Suppose -3*t - 5*d + 31099665 = 0, -3*t + 0*d + r = -d. Let y = 15666550 - t. Round y to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14839 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -51, -30, 11, 78, 177, 314, 495?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from idcdfiicuciu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2858940053 to the nearest integer?\nAnswer: 53469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 456 + -458.96. Let w = -3.06 - z. Which is the nearest to w? (a) 2\/7 (b) -141 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5 - 310*a**4 + 2631*a**3 + 23306*a**2 + 51652*a + 36120 = 0.\nAnswer: -2, 15, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134706b (base 13) in base 3?\nAnswer: 102102102000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by (-16)\/((-30)\/24 - -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21 - 6) + -2 - 21) + 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/840*s**7 + 0*s**4 - 2*s**2 + 1\/240*s**5 + 0 - 1\/240*s**6 + 0*s + 0*s**3. Solve a(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-257*w + 94 + 95 - 189)*(-3 - 1 + 3) to x + t*w and give t.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + 213 + 28 + 23 - 5*p**2.\nAnswer: -5*p**2 + 383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1. Let y(x) = x + 1. Suppose u = -2*u + 6. Suppose t + 1 = u*t. Suppose t = 5*z + 11. Determine z*y(w) - c(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 598594.5 years in months?\nAnswer: 7183134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-2\/23)*k)*k*k\/(k\/(k\/k**9)))\/(k**(-2\/7)\/((k**(-5)\/k)\/k)))\/((k**(-5\/2)\/(k\/k**(-8)))\/(k**(2\/5))**45) assuming k is positive.\nAnswer: k**(5433\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 1827, 4462, 8141, 12858, 18607, 25382, 33177?\nAnswer: 41986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-6))\/(10\/120). Let f(h) be the first derivative of 1\/15*h**3 + 0*h**d + 0*h + 4 + 1\/20*h**4. Factor f(o).\nAnswer: o**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1 + 0*o**3 + 0*o**4 + 9*o - 7\/5*o**5 + 0*o**2. Find the first derivative of i(s) wrt s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2652688392 rounded to four dps?\nAnswer: 0.2653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7533 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 3. Let j be q(11). Is 109\/(j\/(-12)*(-12)\/56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2551094 divided by -262?\nAnswer: 9737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8719?\nAnswer: 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1 = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**3 - 2*k**2 + 2*k - 1. Let t = 174 - 179. What is the remainder when d(1) is divided by t + 9 + (2 + 0)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/21 + 165\/42 and (-187)\/57 + 140\/56.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -372, -371, -370?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.02, 6, -1\/5, -0.1 in decreasing order.\nAnswer: 6, -0.02, -0.1, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6, -2\/67, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(14)*-1 + sqrt(14))\/sqrt(7) + 6*(sqrt(18))**2) - (-3 + (sqrt(162) - sqrt(162)*-2)*4)**2) + -4.\nAnswer: -22909 + 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9162 and 0.38?\nAnswer: 0.348156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7*k + 3*k + 14 = 0, 5*i - 6 = 4*k. Let n(y) = 2*y**3 - y**2 - y + 2. What is the tens digit of n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 26. Let z(d) = -d - 9. Calculate -3*f(v) + 8*z(v).\nAnswer: v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1768.085039 - 1843.08504. Let v = 727 + -802. Let u = v - s. Round u to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwhzrhhzzwz. Give prob of sequence hzww.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 2\/7 (b) -16593 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguuuuuugfgf. What is prob of picking 1 u, 1 g, and 1 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/18 and (0 - 2) + 74\/(-20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 2*w + 3*w. Suppose -5*r + 4*j = -36, 4*r + 10 = 2*j + w. Let v(i) = 2*i - r*i**2 + 0*i - 2*i. Let s(m) = 2*m**2. Calculate s(v(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {k: 1, x: 6, w: 2, t: 2, q: 6, y: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*s - 0. Let g(a) = 35*a + 12. Let q(c) = 18*c + 8. Let l(j) = 6*g(j) - 11*q(j). Let h(r) = r - 1. Give s*l(n) + 16*h(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**2 - 32*m**2 - 25*m**2 + m**3 - 4*m**2 - m**3 - m**3.\nAnswer: -m**3 - 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 1. Let k(u) = -10*u - 9. Let o(q) = 2*k(q) + 18*z(q). Let t(m) be the first derivative of 3*m**2\/2 - 7*m - 305. What is t(o(s))?\nAnswer: -6*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 0.2. Put p, -1, -2, -3 in descending order.\nAnswer: p, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4500) - (-3*sqrt(4500) - sqrt(4500)))*3)\/(6*1*sqrt(36)).\nAnswer: 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*y**3 + 265*y**3 - 4*y**2 - 634*y**3 + 134*y**3 + 4*y**2.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 155. What is the common denominator of j and 103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g\/(g\/g**(-1\/2)))\/g*g)**(2\/35)*(g**2*g*g)\/g*g*g**3*(((g*g*g\/((g\/g**(-4))\/g*g*g))\/g)\/(((g**(-7)\/g)\/g)\/g))**(-5\/3) assuming g is positive.\nAnswer: g**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/(-245))\/((-1305)\/(-1015)))\/(-2*(-2)\/660).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 335689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1569777 and 1.1.\nAnswer: 0.17267547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 268, 203, 112, -5?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28042 and -37\/140210?\nAnswer: 140210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*r**4 + 826.\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12720.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 1640*v + 9262 = 41762 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-150)\/40*4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = 2*j. Suppose -k - 2*h = -13, -3*h + 6*h = -k + 10. Suppose -13*u = -215 - k. What is the least common multiple of j and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456.4 + 450.4. What is the nearest to 1 in 2, 1\/6, 25, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -5 (c) -4 (d) -19\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 1\/3*i**3 + 0 + 1\/12*i**4 + 0*i**2 + 4*i - 1\/20*i**5. Give y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2344824.83 to the nearest 1000.\nAnswer: -2345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - (-190)\/4. Suppose -17 + a = -b. Let l be (-96)\/b - 1\/5. Let d(t) = -t**3 + 3*t**2 - t + 2. Give d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 2057 = -388 - 892 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**(-1))**(-5\/14) assuming j is positive.\nAnswer: j**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 10. Let l(f) = -2*f + 10. Let w(h) = 3*g(h) - 4*l(h). Give w(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4457 + -1.6457. What is the closest to 0.1 in 4, 0.566, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 9. Let y = 12.5 + v. Which is the second smallest value? (a) 2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*m**5 + 3*m - 43 wrt m?\nAnswer: 1620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11683927614 divided by 6.\nAnswer: 1947321269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 + 850*b**2 - 546939*b + 6441444 = 0.\nAnswer: 12, 1269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*u + 20, 2*i + 5*u + 121 = 101 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + 13. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35906911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -25 + 27 + 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*f = 8, -4*z + 5*f + 16 = 4. Let a be (-30)\/35*(3 + z - 8). What is the first derivative of a - j**2 + 10 - 1 + 3 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 1. Suppose 4 = -2*y, 5*y - 2*y = -p - 4. Suppose 5*l + m = 49, s + 1 = -p*m. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/(8\/(-4)). Which is the smallest value? (a) 1\/8 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 5 - i**2 + 2*i**2)*(0 + 2*i + 0).\nAnswer: 2*i**3 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 6*m**2 - 11*m - 13. Let g be u(8). Let c = -12 + g. Suppose 0*b + 12 = 5*b - w, 3*w = 3*b. Calculate the greatest common factor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 8, m: 8, p: 2}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -73018 at most -73062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1027737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/5 (b) -4 (c) 0.1 (d) -5 (e) -1\/57914\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u - w + 1819, 3*w = 3*u - 1839. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 63 = 2. Let x = w - -1. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**5)\/q)\/q**(-17))**(-30) assuming q is positive.\nAnswer: q**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 207*b**2 + 702*b + 141 + 209*b**2 - 638*b**2 + 207*b**2 = 0.\nAnswer: -1\/5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14160, -27767, -41362, -54939, -68492, -82015?\n\"Answer: r**3 - 13614*r - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10535\/3 + 3569. Let k = 58 - w. Let v = -8\/271 - -1108\/813. Which is the closest to -2\/7? (a) k (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -1318 (c) 2480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and 803.8.\nAnswer: 3456.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.033 + -17.033. What is the biggest value in 1\/3, -1, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 94, 5 in increasing order.\nAnswer: 1, 2, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 0.106, 3\/5, -0.5, -0.1, 2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 16*w**2 + 15*w + 2. Let u = 25 - 10. Let s be h(u). Solve -5*t = -s*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*q - 165*q + 15*q + (4*q - 3*q + q)*(-3 + 1 + 4) + 2*q - 2*q + q as z*q + v and give z.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 14*f - 3 = 0. Suppose 5*a - 53 = 3*n, 4*n = a + f*n - 11. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33157 + 58745 = 10*r - 42918. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 563*t - 574*t. Let o(r) be the first derivative of r**4\/4 + 3*r**3 + 4*r**2 - 1. Let f be o(-7). Calculate the greatest common factor of t and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**0*f)\/(f*f**(1\/2)*f))\/((f\/(f**0*f))\/f)**(1\/33))\/((f\/(f\/(f*f**4*f)*f))\/f*f**(-5)*f\/f**(-3)*f*f**(-6)) assuming f is positive.\nAnswer: f**(101\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 + 1307*b + 1877. Determine w(164).\nAnswer: 1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 14. Let t = 17 - u. Suppose -t*f + 25 + 0 = 0. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*(s\/((s\/(s\/s**(-9)*s))\/s))\/s)**(-16\/7) assuming s is positive.\nAnswer: s**(-1168\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1756, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/120 and -91\/100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1439.84 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 6)*(-4)\/6. Suppose 0 = -2*m - r + 138, -r - 2*r + 146 = q*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58173472?\nAnswer: 2, 7, 37, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 minutes after 8:02 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6712644 is divided by 4376?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 655, 579, 431, 187?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 13, x: 1, g: 3}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 plus -174?\nAnswer: -176.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-12 + -14 + (-4 - -19))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2802444+-10719524\nAnswer: -13521968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103091896, -103091894, -103091892, -103091890, -103091888, -103091886?\n\"Answer: 2*g - 103091898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3701.99 times -1.6?\nAnswer: 5923.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.86 times -7310?\nAnswer: 254826.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000396861 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - (-51)\/9. Let g be 28\/70 - (-163)\/5. Let f = g + -28. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 613 - 9775\/16. Find the common denominator of w and ((-64)\/80)\/(-2)*(-2 + 191\/3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5770408 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8062459?\nAnswer: 8062459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 6725.\nAnswer: 40350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, -0.2, 3\/5, 2\/9, 539?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-1 - (-7)\/2). Which is the third biggest value? (a) o (b) 1.56 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/(z\/(z**(-8)*z)))\/z*z*z)\/(z\/z**(-6\/7)))**(1\/11))**46 assuming z is positive.\nAnswer: z**(-2208\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + (52\/(-24) - 3) and 33\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let b be ((-8732)\/48)\/37 + 5 + 0. Let m(a) be the second derivative of 8*a + 0*a**3 + 0 - b*a**4 + 0*a**2. Give q(m(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 934\/8 - 4*(-12)\/(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(8\/4)*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 3*t**3 - 3*t**3 + t**3 + 2*t + 4*t**2 - 2*t**2 - 2*t**3 + (0 - 3 + 4)*(2*t**3 - 2*t**3 - t**3) as b + y*t**2 + k*t + x*t**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -0*i + 2*i - 4*i + 3*v, 89*v + 29*v + 8*v = -630 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -16*b - b + 2*b**2 + 14 - 13*b - b. Let r be w(8). Solve t + 1 = a - r, -6 = -a - 3*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**5 + (-578 + 578 - 42*v)*(-6*v**3 + 6*v**3 - 2*v**4) + (0*v**4 - 2*v**4 + 0*v**4)*(2*v - 2 + 2).\nAnswer: 79*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let b be 0 - -2 - -1 - 1. Let h(v) = -v**2 + 2 - 4*v**b + 5*v**2 + 4*v + v**2. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3143 + g - 721 + 18*g**2 - 20*g**2.\nAnswer: -2*g**2 + g + 2422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-8 + 19 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 3*k**2 + 3*k**2 + (3*k - 1 + 1)*(-3*k + k + k) in the form l + p*k + o*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41.728 and -18.\nAnswer: 23.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/(-60) + ((-108)\/30)\/(-3). What is the biggest value in 3\/14, 3, t, -9, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3.74?\nAnswer: -6.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5461.8kg to micrograms.\nAnswer: 5461800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n - 2 = 2*v + 127*n, 3*v + 2*n = -2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -834, -8441, -29646, -71247, -140042, -242829, -386406, -577571?\nAnswer: -823122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95740520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76204903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*z**4 - 876*z**3 - 2*z**2 - 212797*z?\nAnswer: -180*z**2 - 5256*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 116 = 420. Let i = o + 78. Let w(u) = u**2 - 1. Let h(g) = 0*g + 2*g - g - 3*g**2 + 2*g**3 + 2. Determine i*w(f) + h(f).\nAnswer: 2*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9502*g**3*n + 1642*g*n + 8979039*n + 8 wrt g?\nAnswer: 28506*g**2*n + 1642*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*u - 2*l = 349*u + 14, -4*l = 5*u + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7397387 to the nearest integer?\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250299 is divided by 1159?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1954 + 1965. What is the nearest to 7 in 4, h, 3\/7, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/2 + 21*r - 135\/2 = 0. Calculate r.\nAnswer: -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (4 - 6) - 48\/25. Which is the second smallest value? (a) -1 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 2 + 2)\/2. Suppose z + a + 2*a - 3 = 0, v = -2*z - 2*a + 10. Suppose 5*o - z - 14 = 0. Solve p - o*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - 28.886166303?\nAnswer: 67.113833697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21954267, 43908538, 65862809, 87817080?\nAnswer: 109771351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**10\/2520 - q**6\/360 - 2*q**3\/3 - 2. Let m(f) be the third derivative of t(f). Find the third derivative of m(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkkt when four letters picked without replacement from {t: 2, k: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g - 14. Let v be 4\/g - (-16)\/7. Find z, given that -v*z**3 - z**2 - 4*z - 3*z**2 + 2*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -12, -751, -5, 5, 3, 20, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3110378 divided by -7.\nAnswer: 3110378\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -209 (base 12) to base 9.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 51 - 34 - 54 - 38 - 674*u.\nAnswer: -674*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 - 23*k - 2. What is c(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -16 + 4. Let l be (-2 - 0)*(-1 + q\/(-5)). Which is bigger: 0.13 or l?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - z + 0)*(-824*z**2 - 473*z**2 - 4535*z**2).\nAnswer: 5832*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 66002586?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 1\/9, 28943, -0.5, -5, 4, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.8 (b) -0.08 (c) 0.3 (d) 6227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (2 + 354\/(-9))\/((-204)\/2142)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 829 or 4993?\nAnswer: 4993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 208. Does 81 divide (-557)\/3*((b - -1) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 u when three letters picked without replacement from {u: 11, s: 1, k: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 8. Calculate m(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1524 + -55?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3406065 (base 7) to base 5.\nAnswer: -102003110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 3. Let r be k(0). Suppose -5*v + 0*v - z = -r, -10 = -2*v + 4*z. Let f = 0.2 - 0.1. Which is the third smallest value? (a) f (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11356\/65307 or 0?\nAnswer: 11356\/65307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -0.04. Let f = 6 + -4. Let i = 2.2 - f. Which is the closest to i? (a) 5 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 6939*i + 20808.\nAnswer: (i - 6936)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62781.\nAnswer: 3, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -622 - 8?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 38, 59, 80, 101, 122?\n\"Answer: 21*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206416 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -722.2 + 723. Sort y, -2\/25, 1.\nAnswer: -2\/25, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11468\/3, 0.3, -1\/6, -2\/5 in descending order.\nAnswer: 0.3, -1\/6, -2\/5, -11468\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 2*sqrt(720) + -4)*3 + (sqrt(720) + 1 + 4 - (-4 + (sqrt(720) + 1 - sqrt(720)))))*2)**2*-1*6.\nAnswer: -1728384 + 23040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:26 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*q + 3820 = -188*q - 1415 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310725 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16623*z + 1 + 5060*z - 11180*z as k*z + q and give k.\nAnswer: -22743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24041 (base 5) in base 10?\nAnswer: -1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1435976, -2871946, -4307916, -5743886, -7179856, -8615826?\n\"Answer: -1435970*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1535 and 10075433?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*6\/216*6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -764317, -1528643, -2292969?\n\"Answer: -764326*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 33 = l - 4*l, -l = -2*s + 17. Let z = 39 - s. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288431 + 288433. Suppose 24 - 477\/5*f + 348\/5*f**i + 9\/5*f**3 = 0. What is f?\nAnswer: -40, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6315)\/(-842)*(320\/6)\/2 is divided by 151.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = h + 10, -185*p - 14 = -184*p + 3*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 8*o + 8. Suppose -g = 3*u + 3, -7 = 4*g - 4*u - 75. Let t be n(g). What is the common denominator of (8\/t)\/(12\/(-267)) and 43\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - z + 89 = 0, 3*p - 38 = 5*p + 2*z. Let d be 2*(-124)\/(-5) + p\/(-45). What is the highest common factor of 1150 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -443.974 + 446. Let i = -0.026 + k. Let r = 1 - 1. Sort r, i, 3 in descending order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:17 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 23*g + 1200 = 0. Let y = -118 + g. Solve 3*p + y*f = 2*p + 5, -5 = -2*p - 3*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55871922.\nAnswer: 2, 3, 23, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 85*u**2 - 6*u + 7. Let m(o) = o**3 + 86*o**2 - 5*o + 6. Give 5*i(a) - 6*m(a).\nAnswer: -a**3 - 91*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 + 3*y + 8. Let j be i(3). Is j bigger than -3.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 152, 358, 646, 1016?\n\"Answer: 41*n**2 + n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + -85 + 5 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 2*x - 5 - 2*x**2 + x**2. Let g(n) = n + 4. Let c be g(4). Let k be 30\/c + 5\/20. Give i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -17 - 7. Let y be k\/(-1)*(-4)\/(-8). Let s = 56 - 36. Calculate the greatest common factor of y and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - f - 3*f in the form z + k*f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.9 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhh. Give prob of sequence hlh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 62317*o + 1370982. Calculate r(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -458*b. Let q(g) = 409*g. Give k(q(m)).\nAnswer: -187322*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(120))\/sqrt(6).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -17 - 193*x**2 + 198*x**2 - x**3 - 1 + 10*x. Let p be g(6). Solve 3*o + p + 9 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 697115 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + j = 20, -3*n = 2*n + 4*j - 20. Let m be (28*n\/8)\/2. Let l = -8 + m. Which is the second smallest value? (a) 5 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3376 = -n, 6*n - 5*m = 10*n - 13471. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329981465?\nAnswer: 5, 11, 5999663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -68, -6, 5144.\nAnswer: -68, -6, 17, 5144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 230320 (base 4) to base 8\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 13*p + 15. Let v be r(12). Suppose -4*k - 5*h + 118 = 22, -v*h - 12 = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 49149100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9\/7, 2\/3, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 32*b**3\/3 - 6*b**2 - b - 252. What is the units digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/881 and 57\/8.\nAnswer: 7048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:16 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k + 57. Suppose -11 + k = 4*l. What is the remainder when 24 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67, 113, 157, 199?\n\"Answer: -o**2 + 49*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1*1\/367). Suppose -f = 41 + 217. Let r = f - t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 7*o - 68 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 421.59 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 121343221 (base 5) to base 12\nAnswer: 23878b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:08 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 53*f\/5 - 52\/5.\nAnswer: -(f + 1)*(f + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.869861 rounded to two decimal places?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57991.3l in millilitres?\nAnswer: 57991300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260, -250, -234, -212, -184, -150, -110?\n\"Answer: 3*y**2 + y - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -51*v + 14 - 14. Let h(a) = -7*a**2 + 6*a. Let f(q) = -15*q**2 + 13*q. Let w(r) = -6*f(r) + 13*h(r). Determine w(n(s)).\nAnswer: -2601*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 1. Let v be n(-1). Suppose -v*p + 3*p = 4400. Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286763*u**2 + 155364*u.\nAnswer: -573526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -17\/12 (c) -4 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 1) + 22131 + 275?\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -1\/7, -19?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = -3*q + 269, 4*q - 51 + 104 = 3*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s**3 - 2*s - 104 + 106 + 19*s**2 + 22*s**3 - s**4 to the form y*s**3 + l*s**4 + o*s + k + h*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkd when four letters picked without replacement from {k: 5, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(833) + sqrt(153)\/(-2*sqrt(9)).\nAnswer: 1 + 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, u: 1, h: 8}. What is prob of sequence hug?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 4.7. Let p = 1 + u. What is the nearest to 2 in -0.2, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -47*l**2 - 15*l - 43. Let j be z(-3). Let q = j - -483. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g + 288 = 137*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -0*m + 3*m + 14, 0 = 4*m + 5*k + 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*69\/46*6\/(-369)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9857, -9856, -9835, -9794, -9733, -9652?\nAnswer: -9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/160 and 65\/4577072.\nAnswer: 45770720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 3:35 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 65*t**4\/2 - t**3\/6 - 263*t**2\/2 - 1711*t. Find the second derivative of i(b) wrt b.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**3 + y**3 + 0*y**3 + 3*y**2 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2136532503?\nAnswer: 3, 7, 61, 1667863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37302 is divided by 4249?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3 + 9*o**2 + 0*o + 10*o + 3 - o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzkzyvzkkz. Give prob of picking 1 v, 2 k, and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -91669923?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 36497*p + 181482. Calculate a(-5).\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -12111?\nAnswer: -12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -389232246*k**3 + 43991121*k**2 - 2 wrt k.\nAnswer: -2335393476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 129.8. Let k = -54 - m. Let w = 2 + -2.4. What is the closest to k in w, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5200039.\nAnswer: 13, 269, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 22, 2, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 + 23*p + 102. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2094, -0.3 in descending order.\nAnswer: 5, -0.3, -2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 22. What is the remainder when z is divided by (-48)\/18*(-2 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 50*a + 212. Let q be o(34). Let n = q - 770. What is the remainder when 157 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - 3*h)*(158*h + 127*h - 29*h - 35*h).\nAnswer: -221*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 18, 74, 174, 330?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 37 - 10 = 0. Suppose 3*m - 12 = -5*k + u, 5*k - 4*m = 7. Suppose 14 = q + k. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:24 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 3654.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/314393 and -30\/16547.\nAnswer: 314393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 - 211?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 13*o + 4*o**2 - 10*o**2 - 27. Let c be f(-12). Find the common denominator of (c\/(-6) + 4)\/(-12) and -39\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 10*f - 702. Solve -4*x = 3*r - f, -r - 6*x = -2*x - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 23*l**2 + 19. Let a(j) = -25748*j**2 + 12873*j**2 + 12877*j**2. Give a(n(x)).\nAnswer: 1058*x**4 + 1748*x**2 + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/5)\/(1\/5). Let w = -5 + 9. Suppose -w*m - 33 = -3*r, 2*r - m - 18 = 3*m. Solve 5 = -3*n + 2*n - y, -n + r = -v*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 143*n + 20. Determine g(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-4))\/k)\/k)\/k**4)\/(k\/k**1)**(-1\/7))**(-1\/3) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j = 24. Is 587\/9 - j\/108 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toc when three letters picked without replacement from {q: 2, t: 6, o: 2, c: 1, s: 2, x: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (63\/(-6))\/7*12\/(-30). Which is greater: u or 1\/68?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -7.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 + 4*h**5 + 0*h**5 + (-h + 0*h + 3*h)*(h**4 - 5*h**4 + 2*h**4) - 551*h**5 + 1511*h**3 - 1511*h**3.\nAnswer: -546*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 0.02 (c) 8\/9 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 2241?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4941708872 to the nearest integer?\nAnswer: 70297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/5 + 2*k**4\/3 + 2*k**3 - 8*k. What is z in u(z) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-279565)\/(-20) + 0 - (-1 - (-10)\/8).\nAnswer: 2, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 18285396*n - 41794463359602 = 0.\nAnswer: -4571349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2788 and 22222697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (-4*sqrt(56))\/sqrt(8)) + (sqrt(112) + 3)**2.\nAnswer: 30*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g - 4*g, -6 = 2*t + 2*g. Find the third derivative of 39*a**2 - 7*a**2 + 3*a**6 + 2*a**3 - t*a**3 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469.7625 + 0.3625. Let r = u + 469. Which is the biggest value? (a) r (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 2*g**2 + 2*g**2)*(-42 - 81 - 17).\nAnswer: 280*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -86 (b) 0.1 (c) -344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87057?\nAnswer: 3, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6658 = 3*t - 8165. Suppose 2*m = 3*p - m - t, -2*p - 5*m = -3315. What is p rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510575 is divided by 1395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 22*u - 20. Let t(l) = -5*l + 7. Let i(y) = 4*y - 6. Let o(j) = -6*i(j) - 5*t(j). Let c(z) = -b(z) - 2*o(z). Let f(a) = a - 1. What is c(h) + 18*f(h)?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from yzvxnyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**3 - 8*j - 8. Let z(t) = t**3 + t + 1. Let x be (-1 - -9) + -5 + 3. Give x*z(k) + o(k).\nAnswer: -3*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 53 + 28 + 23*l**3 + l**2 - 8 - 1 as b*l**3 + p*l**2 + g + q*l and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 124*q**2 - 25*q + 245. List the prime factors of m(11).\nAnswer: 2, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7637238 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451624415?\nAnswer: 5, 11, 8211353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(1 + -2). Suppose -6*z + 2*z = 0. Let t be 4 - (0 + (z - c)). Sort t, 1\/2, -3.\nAnswer: -3, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 4. Let r be v(4). Suppose k = -r*y + 2 + 2, 0 = -4*y - 4*k - 8. Let x = y + 2. Calculate the smallest common multiple of 14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 - y**4 + 4*y**4 + 2*y**4 - 2*y**3 + 2*y**3 + (-3*y + 2*y + 7*y)*(-y**3 + 0 + 0) + (3*y - 2*y + 0*y)*(-y**3 + y - y) + 0 + 0 + 2*y**4.\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 54 = -9. Suppose 0 = 14*q - 43362 + 43376. Let t be (-3)\/((x\/48)\/q). Solve 0 = -2*a + y - 6, 0*y + t = -5*a + 3*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w)\/w*w\/w**(-1\/7)*w**(3\/8)\/w*w\/w**1 assuming w is positive.\nAnswer: w**(141\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + 19*r + 20 = 0 for r.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = 0, -16*m + 15 = -15*m - 2*s. Which is the second biggest value? (a) m (b) -64 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 26*d + 2. Let v(y) = -6*y**2 + 1. Determine w(v(b)).\nAnswer: -156*b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 702?\nAnswer: 32292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-60) + 33\/45)*6. Let w(n) be the first derivative of n**3 - 1 + 0*n + 9\/2*n**d. Factor w(x).\nAnswer: 3*x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.018 (b) 1\/7 (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i - 120 = 0. Let f = i + 29. Suppose -200 = p - f*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4804*t - 8 + 16*t**2 + 4804*t - 55*t**2 + 8.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.31 + 7.51. Put j, -2, 1 in ascending order.\nAnswer: -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.27. Let t = x - -14.03. Let v = -16 + t. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (987 + -1)*(-44)\/(-8). Let o = 54123\/10 - d. Let u = 9\/208 - 8261\/1040. Calculate the common denominator of u and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.579, -0.5, -1?\nAnswer: 1.579","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.4 + 18. Let x = -3 - v. Suppose 0 = -3*g - g + 16, 3*g - 12 = 3*s. What is the closest to s in 4\/3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0 + 8*y**2 + 1214685*y - 1214685*y - 3 - 9*y**2 + 4. Let g(w) = -w**2 + w - 1. Suppose 5*f + 21 = 2*q - 3, 14 = 3*q - 2*f. What is q*g(v) - o(v)?\nAnswer: -v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*n - 7, 2*z + 7 = 5*z + 2*n. Suppose -23*l + z = -64. Solve 4*v - 3 = 3*r, -l*r + 6 - 15 = -2*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 6*w - 7*w**2 - 8 - w**3 - 3*w**3. Let j = -1051 + 1043. What is a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*d - 2448 = -1255*d - 86868 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -149 and 10.5523.\nAnswer: -138.4477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 26*3038\/806.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53840 or -53844?\nAnswer: -53840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)*s)**(3\/16)\/((s\/(s**(-17)*s))\/(s*((s\/(s\/s**(2\/53)))\/s)\/s)))**(2\/63) assuming s is positive.\nAnswer: s**(-105193\/186984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxbxbnwwkwb. Give prob of picking 1 k and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 1. Let g be (-5)\/18 + (-6)\/27. Let k = 1.74 + 1.26. Which is the second smallest value? (a) k (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -811.57*-161.\nAnswer: 130662.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1*sqrt(48) + 1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, v: 1, c: 2, u: 1, m: 1}. Give prob of sequence vtm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -226 (b) 0.1 (c) 4 (d) -3 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141.31 + 0.31. Let l = 94.1 + q. Let x = -47 - l. Which is the nearest to 8? (a) -3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.141 - 0.1819. Let f = 140.9591 - c. Sort 2\/5, 3, f.\nAnswer: 2\/5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1655\/2, -0.2, -8, 0.\nAnswer: -8, -0.2, 0, 1655\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 less than -4580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*p**5 + 320*p**2?\nAnswer: 16140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -45033, -3, -17, 0 in descending order.\nAnswer: 0, -3, -17, -45033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0 - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z. Suppose -22 + 19 = -w. Let a(o) be the second derivative of 3*o + 1\/12*o**4 + 0*o**2 + 0*o**w + 0. Calculate a(d(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 6939 = 3*o - 6930, -13*n - o - 75 = 2*o for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12243832 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -58. Let s = d + 32. Suppose -13*n + s*n = 85. What is the remainder when n is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/525*35\/2 - 219\/12?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 192*o - 153 - 2907 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) 2\/15 (c) 16 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2536528 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**7\/21 + 25*w**4\/12 - 155*w**3\/6 + w**2\/2 + 373*w. What is the second derivative of x(o) wrt o?\nAnswer: 40*o**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16571 (base 13) to base 5\nAnswer: -2331210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i*p**3 + 25*i*p**2 - 14*i*p - 6*i + 3 wrt p?\nAnswer: 60*i*p + 50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - -100?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 1. Let k(q) = q**2 - 21*q - 14. Let r be k(22). Suppose -3*f + 50 = r. Calculate the greatest common factor of f and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4*i = -6068. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55909296 to the nearest integer?\nAnswer: 7477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17646, 35284, 52922, 70560?\n\"Answer: 17638*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*z - 18*z + 62424. Calculate the highest common factor of z and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*r + 5*p + 9, -2*r - 2*p = -10. Suppose 0 = -4*j - 10 + 54. What is the smallest common multiple of r and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31448, -32375, -33920, -36083, -38864, -42263, -46280?\nAnswer: -50915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -769 (base 16) in base 12?\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 677 - 85. Let k(h) = -h + 295. Is 11 a factor of k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71243.\nAnswer: 191, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 104*o - 10*o - 20*o - 28*o - 22*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = 139886. Let y = -10001765\/143 - b. Let p = 10\/13 - y. Is 1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (42081\/33 + 4\/(-22)). Is 14 a factor of 15\/(-6) + r\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 24*u = -14. Let s be u\/(-35) + (-4998394)\/(-10). Suppose 6*w - 3673839 = -s. What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4 - 122*z - 4 + 124*z. Suppose -8 = -2*c, -25 = -5*p - 4*c - c. Let w = p - 2. Give q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1202657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o. Let x be (-7)\/(-1) + (0 - o). Let m = -6 + x. Solve z + 2 - 3 = t, -t - 5*z = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8118 and 1621386?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 88029*d**2 - 2 - 84199*d**2 - d + d**2 + d + (-2*d**2 + 0*d**2 + 0*d**2)*(2 + 4 - 5).\nAnswer: 3829*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and 93\/194468.\nAnswer: 972340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9308 divided by -179?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/18 - (-104)\/12. Suppose -4*p - 4*s = -x*p - 12, 0 = 3*p - 4*s + 12. Let k(u) = -u + 2. Determine k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let q be -2 - (0 - (u - 2)). Is q\/((-73)\/71 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yxxryxy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637)*-3)**2.\nAnswer: 42*sqrt(13) + 5734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90850000 rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {j: 7, a: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {r: 5, k: 1, y: 5, o: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/(-7))*1. Let p = o + -5. Let l be (-36)\/(-8) - p\/4. Let n(w) = w. Determine n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399282?\nAnswer: 2, 3, 13, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -50070*s**2 - 140*s - 140. Let c(r) = 2177*r**2 + 6*r + 6. Let h(g) = -70*c(g) - 3*o(g). Let j(a) = -5*a. Give j(h(u)).\nAnswer: 10900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 2*c**2 + 2*c - 1. Let d be 2\/4 - (-2)\/4. Let b be w(d). What is the third derivative of 3*v**b - v**2 + 0*v**2 - 2*v**4 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r + 2. Let p be y(-5). Suppose 0*l + 4*w - 21 = -3*l, 2*l - 14 = -p*w. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -5*w - 1060, -3*w - n = 652. Let i = w - -1942\/9. Sort 5, -2, i.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0207085 plus -1360?\nAnswer: -1364.0207085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 4\/15*m**6 + 0 + 1\/9*m**7 + 6*m - 1\/9*m**4 + 0*m**2 + 1\/10*m**5 + 0*m**3. Factor g(t).\nAnswer: 2*t**2*(t + 1)**2*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211344311342 + 0?\nAnswer: -211344311342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b + -1?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 != 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g + 57. Let s(d) = -7*d - 52. Let f(x) = 6*p(x) + 7*s(x). Let k(v) = 2*v**2. Determine k(f(h)).\nAnswer: 50*h**2 - 440*h + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 12256720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139, 201, 261, 319, 375, 429?\n\"Answer: -p**2 + 65*p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22648 is divided by 166?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 26. Sort 0.2, 0.1, r.\nAnswer: r, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1 - 1 + 1. Let q(o) = 2*o + 4 - o + o - 6. Give -4*m(i) - q(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 5, 9 in decreasing order.\nAnswer: 9, 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52445745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 1, a: 1, k: 2, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, z: 1, x: 1, t: 10, d: 2, f: 1}. What is prob of sequence xtt?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97723 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(t + 1 - 1) - t + 2*t + t - t + 3*t + 0*t + 8195*t - 2822*t + 5556*t.\nAnswer: 10935*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288467.84 and 3.\nAnswer: 865403.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 171*g - 130 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 396*b - 1722. Calculate z(3).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkngneezkzkgnnegzg. What is prob of picking 1 g and 3 k?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18)*(12 - 4210). Let i = -466 - x. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-21)\/166104) + 4. Let j be (2\/(-3))\/(w\/11076 - 5). Let y = -522 + j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - 5*w - 12*w + 126*w to the form q + v*w and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013947 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 644643400 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/120 - h**5\/12 + h**4\/4 + 2*h**3\/3 - 4*h**2. Let z be q(-6). Solve -1 + 13 = d - 4*l, -z*d - 3*l = 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**4 - 20904*i**3 - 27373716*i**2 - 163678320*i - 245235600 = 0. What is i?\nAnswer: -2610, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -6783, -22771, -53963, -105441, -182287, -289583?\nAnswer: -432411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 156, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, f: 4}. Give prob of sequence fv.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -22) + (5 + -10 - 24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**2 + 145*i - 59. Let b be h(23). Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -9*p**2\/2 + 15*p + 119. Let o(v) = 11*v - 15. Let i(w) = -5*o(w) - 6*t(w). Determine i(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4097225 and 0.24.\nAnswer: -4097224.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1 + (-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 1. Let d be ((-60)\/g)\/(1\/16). Calculate the common denominator of ((-6)\/5)\/((-99)\/d) and -46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 201\nAnswer: 60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18603103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (760*f**2 + 293209 - 293209)*(-3*f + 2 - 2) + 2*f**3 + 1 - 1.\nAnswer: -2278*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700790 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5635*n - 5279*n = -16376 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -27. Which is smaller: -29 or o?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85999 - -60?\nAnswer: 85a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4\/(-6) + ((-194)\/(-3) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -53*l**3 - 1 - 2*l + 3*l**2 + 52*l**3 - 8*l**2. Let v(a) = -a**3 + 2*a - 1. Let g be v(2). What is the units digit of z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1782) - (sqrt(1782)*1 - sqrt(1782) - sqrt(1782)))\/(sqrt(22)\/(sqrt(22)\/sqrt(2)) + sqrt(2))*1)**2.\nAnswer: -2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + 2 + -1 + sqrt(5000) + -2 + sqrt(5000) + -4.\nAnswer: -10 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -7*q**4\/12 + 37*q**3\/2 - 49*q**2\/2 + 2*q - 105. Let d(o) be the second derivative of w(o). Differentiate d(a) wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, -0.2, -0.5, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69103603 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -39588119?\nAnswer: -11876435.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**2 + 2 - 3*w**3 + 300*w**2 + 70*w**2.\nAnswer: -3*w**3 + 313*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -91*o + 94*o. Sort 0, 5, o.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2. Let h(i) = -i + 1. Let f(k) = 2*h(k) - m(k). Let p(z) = z**2. What is p(f(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33972 and 152?\nAnswer: 67944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/10 + 36\/(-45). Suppose g + 6 = k*y, 4*g + 21 = y + 4*y. Let i(o) = 8*o**3 + 2*o**2 - 2*o + 1. Calculate i(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 3*v)*(0 + 0 - 2)*(21*v - 57*v - 21*v).\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20767 (base 8) in base 7?\nAnswer: 34231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 21*h**2 + 9*h + 13. Is w(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 - z**4\/2 + 21*z**3\/2 + 45*z**2\/2.\nAnswer: -z**2*(z - 5)*(z + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -418*c + 433*c - 8250. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2. Let q(n) = -36701*n + 36698*n + 2 + 1. Determine q(a(z)).\nAnswer: -9*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 0\/((-4)\/(-2)). Let m(j) = 7*j**l - 7*j**2 - j - 7*j**3. Calculate m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -21*g - 3. Let m(z) be the second derivative of -5*z**4\/12 + 125*z. Calculate t(m(v)).\nAnswer: 105*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f + 2*n, -5*f + 0*f = -5*n + 10. Let g(r) = 864*r + 17274. Let o be g(-20). Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90423172*h**3*q**2 - 196*h**2*q + 6*h**2 - 3*h*q**2 + h*q - 86*h - 2*q wrt h?\nAnswer: 542539032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1420559789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.5, -14\/15 in increasing order.\nAnswer: -14\/15, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 19. Let a(f) = -16*f + 94. Let r(t) = 3*a(t) - 14*u(t). Let h be r(9). Let m = h - -85. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13953 - -13963. Solve 48*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730.0342 rounded to one dp?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 2240?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -0.3. Let o = 14845.6 - 14846. Which is the closest to -2? (a) o (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from ooxoxoooxxxeoexxoo.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7463\/42 - 2483\/14. Let i(j) be the first derivative of 37 - 16*j + 4*j**2 - k*j**3. Factor i(l).\nAnswer: -(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -32*p - 21*p. Solve p = -6*g + 26 - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 55. Let t = g + -7.017. Let z = 0.983 - t. Which is smaller: -0.02 or z?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/113, -2\/7, 1, 0.4, 0.08, 4 in ascending order.\nAnswer: -2\/7, 3\/113, 0.08, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/2 - -1)*-4. Solve 4*p + s = -2*h, -h + p + 4*p + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -7*d + 28, -231*x + 233*x = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t + t**3 - 13*t - t**5 + t + (-1 + 2*t**4 + 1)*(0*t + 4*t - 5*t).\nAnswer: -3*t**5 + t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2992 and -105\/168608.\nAnswer: 2866336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 1, e: 2, r: 2, y: 3, g: 1}. Give prob of sequence rier.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 147904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/96 and -8\/9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/5))\/(v\/(v\/v**0)))\/(v**(-1)*v*v**14\/v*v) assuming v is positive.\nAnswer: v**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/((-48)\/324).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 46*w - 16 - 105*w + 50*w. What are the prime factors of p(-15)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358959176 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -494, -446, -366, -248, -86, 126?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01318 rounded to four decimal places?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 114. Let p = -37 + 27. Calculate the remainder when x is divided by 54\/4 + (-35)\/p + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-132)\/(-136)) - 15\/(90\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from hhthctthhtttttcth.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*-10*(-1 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*p + 26, -4*u + 5*u = -2*p + 8. Let d be 14\/(-18) + (-2)\/9. Let n = 0.06 + -0.56. Which is the nearest to d? (a) n (b) -3\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -977, -3870, -8683, -15416?\nAnswer: -24069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + c. Let a(z) = 4*z**3 + z**2 - z - 8. Let x(n) = -a(n) - 5*k(n). What is x(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 747690301 from -22949.\nAnswer: -747713250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1445406338 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b + 28*b)*(-15*b**2 - 17*b**2 + 9*b**2)*(1 - 2 - 2).\nAnswer: 1518*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11001649.\nAnswer: 11001649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1253 + -716. What is the remainder when f is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4097 + 330*r - 4097)*(0*r**2 - 3*r**2 + 5*r**2) to n + h*r**2 + z*r + g*r**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 493204486 and 493204486 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*z = 105*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 1. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963847.5 centimeters in meters?\nAnswer: 9638.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 2. Suppose 50*x - 49*x - 2 = 0. Determine m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 8*f**2 + 7*f + 1. Let t(g) = g**2 - 10*g - 7. Let u be t(10). Give m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198612389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 + 54*h**2 - 9*h - 94. Does 62 divide n(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18436 and 5.\nAnswer: -92180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*n**2*w**2 + 4*n*w**2 - 1042*w**2 + w wrt n.\nAnswer: -44*n*w**2 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g = 66*g - 660. Let n = -22 + g. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y. Let p(r) = -17*r + 0 + 24*r + 0. Suppose m + v = 4*v - 2, -m + 14 = 5*v. Suppose -4*x + m = -4. What is x*p(f) + 5*c(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 35*u + 31*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 4. Let p = 425 - 421. Let h(n) = 2 - 1 + 2. Calculate p*h(d) - 3*j(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 + 2.7. Let w be 4 - 25\/6 - 0. What is the third biggest value in p, w, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y - 9*y = -1848. Calculate the remainder when 252 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43972 by -10993.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000065937199 to 7 decimal places.\nAnswer: -0.0000659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088874467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(99) - sqrt(99)*1) + sqrt(99))\/sqrt(9))**2 + sqrt(11).\nAnswer: sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364 + 25. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 97. What is the greatest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/(((-12)\/2)\/(-36)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (0 - 1)\/1. Let g be 0\/(5\/(15\/6)). Which is greater: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9208a47 - -2?\nAnswer: -9208a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7*(-10)\/(-20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1080 + -442. Let m = -533143\/4 - -133936. Let t = d - m. Find the common denominator of -52\/9 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4664 divided by -22.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 13*p - 3\/4*p**4 + 0*p**3 + 0*p**2 - 9\/20*p**5. Find the third derivative of y(w) wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 24\/5. Let p = -487 + 487.4. Which is the nearest to j? (a) -1 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 452910.2.\nAnswer: -226455.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:40 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*v**2 + 36*v**2 - 56*v**2 in the form g*v + u*v**2 + a and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 5*d + 0*d + (74 + 1 + 22)*(-6*d + d + 3*d) to the form x + n*d and give n.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 6, s: 2, a: 1}. Give prob of sequence yya.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 216647 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-546)*-9)\/(54\/21).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643749*c - 643682*c = -402 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 23*l - 1. Suppose 2 + 6 = 4*r. Let g be f(r). Suppose 0 = 2*v + 5*w - g, 0 = 3*v + 3*w - 47 - 25. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 145 = 3*a. Let u = a + -9. Is (-3)\/5 - (-1312)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 20. Calculate the least common multiple of (12\/(-9))\/(1\/(-9)) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4*o**2 - 97*i**2*o + 1623*o**2 wrt i.\nAnswer: -4*i**3*o**2 - 194*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2299)*4)**2 - (-4*sqrt(2299) + 5)**2 - ((-3 + sqrt(2299) + 1 - (5*(sqrt(2299) + 0))**2) + 0).\nAnswer: 429*sqrt(19) + 57449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 71 = 4*n. Let a = -43 + n. What is the closest to a in -2\/7, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57535313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -73 + 72 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -3.1. Let z = p - -3. What is the closest to 0.1 in 5\/2, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 135. Let f be (4\/70)\/(1\/(-5)). What is the nearest to f in o, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from iuiuuuuiozr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80999320 and 14790?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.39. Let v = 0.47 - f. What is the smallest value in -2\/7, 2, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {n: 1, w: 5, m: 1, e: 3, y: 4, t: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 + 88\/(-1 + 5) and 109\/4 + 490\/392*(-1)\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g + 1072 = 100*g + 1246 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 + 2 + 4*l - 2*l. Let z be a(9). Suppose 5*f - z = -2*c, f = -f + c + 7. Solve 0 = -0*s + 2*s + 5*x + 4, f*x = -5*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111110 + -10?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3 + 0*r + 6 - r + 10. Is i(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*c*u**3 - 22*c*u + 3809*c - 7*u**4 - 14852*u**3 + 100*u wrt u?\nAnswer: -138*c*u - 84*u**2 - 89112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)*-6*(-4)\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 - -811. Let g be 113025\/2466 - (0 + (-1)\/6). What is the highest common divisor of g and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*n = -6*n. Suppose -w + 5 + n = 0. Suppose w*s - 3*s = 110. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132514 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 13*k. Let o be b(-4). What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-157)\/45 - -1 - 1222\/3055. Let w be 1 + -2 - (2 + 0). Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 61, -7\/50 in decreasing order.\nAnswer: 92, 61, -7\/50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 2*r + 22. What is i(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -174*((-23312)\/(-372))\/188.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -22. What is the least common multiple of 4\/3 - (-4)\/6 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, z: 1, g: 2, c: 8, w: 2}. What is prob of picking 1 h, 2 w, and 1 g?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156.539523 + -3.559423. Let t = -191 - -38. Let l = t + k. Round l to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -449895.1596 and -3.\nAnswer: -449898.1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) - (1 - 4). What is the third derivative of 0*d**2 + b*d**4 + 0*d**2 - 3*d**2 wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179394 and 2208?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/15994 and 77\/11632.\nAnswer: 127952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-42) - (-4)\/14. Suppose 4 = -0*b + 2*b. Solve -5*x + b*x - 15 = s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -15, -18, -21?\n\"Answer: -3*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 7*a - 17. Let i be p(8). Let q be (2\/i)\/((-18)\/135). Let l = 7 - 6. Sort q, 2\/17, l in decreasing order.\nAnswer: q, l, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, -2, -4 in ascending order.\nAnswer: -4, -2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5175944*d**4 - 1643495*d?\nAnswer: -62111328*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18*(55\/10 - 5). Solve -3*b + 6*o = 3*o + c, b + 5*o = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:34 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-608)\/114*(-3)\/(-14)*14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7004, -7045, -7086, -7127, -7168?\n\"Answer: -41*o - 6963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 3*y - 6*y - 6 = 18, 0 = -j + 3*y + 109883 - 109875 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**5\/5 + 105*q**4\/4 + 2*q**3\/3 - 2806*q - 7460. What is the first derivative of l(n) wrt n?\nAnswer: 4*n**3 + 315*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31938?\nAnswer: 2, 3, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/34*(-5)\/100?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4 - 30*a**3 + 121*a**2 + 120*a - 500 = 0?\nAnswer: -2, 2, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 2*s**2 - 2*s + 3. Let m be i(2). Suppose 3*g - 5*d = 578, 2*g - m*d = -2*d + 387. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*p = p, g + p = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 34760?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2130 divide 28595250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 0, 0.2, -4, 0.6, 1\/65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 + 5*t. Suppose 3*i + 2*i = -15. Let d be i*8\/12*-1. Let w be -1*(-5 - d) + -3. Let m(b) = b**3 + 7*b**2 - 6*b. Give w*m(c) + 5*v(c).\nAnswer: -c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v + 84 + 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4120486031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 5. Let x be a(11). Is (-2211)\/x + (-5)\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.44 + 0.06. Let p = 3.5 - u. Which is the nearest to p? (a) -3 (b) 3\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 1567*a + 85127. Determine p(-51).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 8:55 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*i - 19, 0 = -5*b - i - 0*i + 17. Suppose -380 = -3*s + b*u, -2*s - 4*u = 3*s - 644. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -55728.\nAnswer: -1\/55728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhddbdhd. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 15*w + 28. Let q be t(13). Solve 17 - 7 = q*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6825, 13650, 20477, 27306, 34137, 40970, 47805?\n\"Answer: r**2 + 6822*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488773 is divided by 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 111, 86, 41, -30, -133?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 45*o + 496. Let q be c(20). What is the second biggest value in 0, 4, q, -2\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 137 = -2*s + p, 4*p = 20. Let o be (12\/14)\/((-12)\/s). Let i be 0 + 8*(-2)\/5. Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 2. Suppose -8 = 4*s + 3*x, 5*s - 9 = 18*x - 17*x. Let r(c) = c. What is s*r(l) - n(l)?\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92612 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -823 at most -824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 549229345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h + 285. Let v be x(16). Solve -29 = v*y - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2167.558475 to 1 decimal place.\nAnswer: 2167.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-7130)\/(-217) - 2\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.656358 months to centuries.\nAnswer: 0.023046965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 421\/9. Let u = 1.4 + 0.6. Let b = 2\/3857 + -3865\/15428. What is the nearest to j in u, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 4, t: 2, b: 1}. What is prob of picking 1 i, 1 b, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5 - 2*y**3 + 2*y**3 + 7*y - 11*y**2 + y**3 + 5*y**2. Let d be z(5). Suppose -39 = -d*w + 66. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3471, 3475, 3479, 3483?\nAnswer: 3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 6*x - 258. Suppose 0 = -r + x + 29. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 47*u - 556. Calculate d(36).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (372\/1736)\/((-13)\/7)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215669)\/(-1843) - 31 - 86?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let t(s) = s + 1. Let d be (-6)\/(-12) + (-7)\/(-2). What is d*t(q) - 6*p(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4410*u**5 + 648*u - 540*u**2 - 4419*u**5 + 17*u**3 - 575*u**3 - 129*u**4 = 0.\nAnswer: -6, -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -9. Let o be 3 - (-3)\/(3\/b). Suppose 5*z - 5 = o, 3*z - 17 = -2*r. Sort 8, 3, r in descending order.\nAnswer: 8, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 66, 135, 242, 399, 618, 911?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428219 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 2*s + 1. Suppose -4*r = 8 + 24. Let f = -6 - r. Let b(q) = q**2 - 1. What is f*b(w) + n(w)?\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4679)\/(-35) - (0 + (-4)\/(-14)). Let u = 679\/5 - d. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623323891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 61, 177, 371, 661, 1065, 1601, 2287?\nAnswer: 3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 + 251 + 274 = 14*u + 3*h, -h - 212 = -3*u - 56 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**2 + 7*w + 3. Let y(r) = 14*r**2 + 11*r + 5. Let j(b) = -8*s(b) + 5*y(b). Let m be j(1). Sort -5, 1, m in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81002 is divided by 70?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1220*b + 3674. Let u be l(-3). Solve 27*s - 39 = u*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/9 - 430*t\/9 - 1688\/9 = 0. Calculate t.\nAnswer: -211, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37344.0966 + -37348. Let g = 3.9 + d. What is g rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 29 = 5*y, 8*f = 5*y - 16*f + f + 22*f - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*n = -6, 4*n + 0*n = 5*f - 15. Suppose -4*t + f*t = 20. Let v = 29 + t. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(2\/11))*b**(-4\/9))**(-8\/9)*b**(-3)*b\/b**6*b*b**(-2\/11)*b**0 assuming b is positive.\nAnswer: b**(-5399\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -103, -766, -5 in decreasing order.\nAnswer: -5, -103, -137, -766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (6 - (-11 - -21))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r + 7*r - 5*r + 6*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -473 + 500 + (-412)\/16.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*s**3 - 2)*(-1 + 1 - s) + (17 - 7 - 12 - 3*s)*(8*s**3 + 110*s**3 + 114*s**3) to f*s**4 + h*s**2 + a + w*s**3 + c*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 352.61 - 351. Let d = -1.58 + r. What is the fourth biggest value in 3, -0.2, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*m**3 - 141*m**2\/4 + 173*m\/4 - 3\/2 = 0. Calculate m.\nAnswer: 1\/28, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.91 + 27.99. Let d = w - 30.3. Which is the closest to -2\/3? (a) 0.1 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 51 + -91 + 104?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6100843522.\nAnswer: 2, 67, 45528683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/78279 and -127\/1614.\nAnswer: 156558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 6:31 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/20 + (-3)\/(-15) + 0. Is ((-6)\/k - -1)*-1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78c08 (base 13) to base 11.\nAnswer: -13aa41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1318.971 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 592, 1335, 2376, 3715, 5352?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 2. Let p be h(0). Let n(a) = -a**2 + 0*a**2 - 3*a**p + 2*a**2. Let c(v) = 6*v**2. Determine n(c(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 823068 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900)*-3*-2 + sqrt(900))*1)\/(((-1*sqrt(360))\/sqrt(9))\/(sqrt(96)\/sqrt(108))).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-24587\nAnswer: 7376.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 9*u - 6. Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-2)\/(-1)*-1. Solve 0 = -2*x - 3*k - v, -2*x + 2*k = 6*k + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/((-704)\/(-32))*(-2)\/(-30)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134539245 by -9143.\nAnswer: -14715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((-6)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 183, 1592, 5413, 12852, 25115, 43408, 68937, 102908?\n\"Answer: 201*i**3 + 2*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let l be v(3). Suppose 6*z + l = 4*z. Let f = z - -6. Calculate the remainder when 8 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 64*p**2. Let s(r) be the first derivative of 0*r**2 + 8 + 1\/3*r**3 + 0*r. Determine i(s(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 + 4. Suppose -2*c = -5*n - 26, -n + h = 2*c - 0. Suppose -c*x - 3*w = -13 - 5, 5*w - 14 = 3*x. Solve -x*q + 9 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*a + 48 = 0, -38*a = 3*d - 42*a + 57 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -31 - 4. Suppose -3*q - k = -3, 0*q = -4*q - 5*k - j. Which is the nearest to 1\/5? (a) q (b) 0 (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 10. Calculate the remainder when h is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5562, -11122, -16682, -22242, -27802, -33362?\n\"Answer: -5560*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 3*d - 3*d + (-7*d - 10 + 10)*(0 - 2 + 0) + 4*d - 11*d + 2 + 13*d - 2*d + 0*d + 5*d as b*d + z and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*n**3 - 60*n**3 + 44*n**3 + (2 + 2*n - n + 0)*(-n - n**2 + n) - 5*n**3 + 3*n**3 - 2*n**3 + (-n + 5*n + 3*n)*(n**2 - 3 + 3).\nAnswer: 38*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) + (10\/4)\/5. Let i be s - 6 - 2*(1 - 3). Let f be (4 - 11\/4 - i)*4. Solve -6 = -u + 2*c - f*c, 3*u - 5*c = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(693\/10626)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84 - (86 + -182) - (36 + -2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 3:24 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/19 + 26*t**2\/19 - 80*t\/19 + 72\/19.\nAnswer: -2*(t - 9)*(t - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c + 12 = 0. Suppose -2*o + 2 = 5*n, 2*n + 2*o = 2 - c. Solve -n*y + 1 = -3*f - 4, -2*f = y - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1018, 4, 363 in decreasing order.\nAnswer: 363, 4, -1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62245\/8 - -7768. Find the common denominator of -29\/66 and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, -4, 0.3, 8\/29, 1\/2, 5, -328?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m = 66*m - 4. Let l(j) be the first derivative of 0*j**3 - 4 + 1\/6*j**m + 0*j**2 - 2\/15*j**5 + 0*j. What is y in l(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*o - 27 = 0, -o = c - 32 + 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + sqrt(171) + (sqrt(171)*2 - sqrt(171))))\/(sqrt(900)*2).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -19*y**3 - y**2 - 1. Let m be t(-1). Let p be ((-8)\/10)\/((-8)\/20). Suppose -p*a + 15 = 3*a. Solve -4*l = -m - a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/17 - 11828*a**2\/17 + 23650*a\/17 - 11824\/17 = 0.\nAnswer: 1, 5912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-8265.\nAnswer: -16530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102990 is divided by 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 17 - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + 6 - (3 + (2 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254128007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = z - 3, -5*z + 5*k - 19854 = -19869 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8074 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1008933950, -1008933951, -1008933952?\nAnswer: -1008933953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11955 and 69975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 102 - 380*y - 275*y + 8*y**2.\nAnswer: 8*y**2 - 655*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3336, 2\/163, -4, 17?\nAnswer: 3336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*i + 166*i + 177*i + 898*i + i as y + c*i and give c.\nAnswer: 1582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**4 - 2*b**3 - 411*b + 40987 with respect to b.\nAnswer: 12*b**3 - 6*b**2 - 411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1710111 - 15230321 = 0. Suppose 5*k = 36403917 - 12883707. Let s = c - k. What is s rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 - 111200102?\nAnswer: -111212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -53 - (3 - 8) - 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -134, -133?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 3*l**3)*(37 + 226 - 54).\nAnswer: -627*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221212 (base 4) in base 2?\nAnswer: -101101001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e + 58d7?\nAnswer: 5889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 42 = 3*m. Suppose -z + m = 4*c, z + c + 6 = 2*z. 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*u - 4*w = -5*u + 53, -2*u = -w - 32. Suppose -1 - 2 = -h. Calculate the greatest common factor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2915 and 369039.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57386346*r**2 + 126914203*r?\nAnswer: 114772692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.97 from -0.25.\nAnswer: 10.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3996*k - 1007*k - 219*k in the form d + f*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.5 - -4.5. Let t = 61 - 46.6. Let x = t - q. Round x to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:20 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(6*sqrt(28)\/sqrt(4) - sqrt(7)))**2.\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*-3 - sqrt(10)) + sqrt(51)\/(1*sqrt(3)) + sqrt(153) + -2 + ((-3*sqrt(136))\/sqrt(8) - sqrt(17)))*2.\nAnswer: -4 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20) - sqrt(320) - sqrt(5)) + sqrt(55)\/(sqrt(1100)*-2).\nAnswer: -141*sqrt(5)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520 divided by -4.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1006)\/(-170)) + (-20)\/(-25)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -66. Let a = 75 + -70. Suppose -17*n + 88 = a*n. What is the remainder when d is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 minus -505261?\nAnswer: 505341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m + 46. Let c be x(7). Let b be (101 - (-5 - -1))\/(-2 - c). Let o = -72 + b. Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p - p**3)*(-233*p + 629*p - 1974*p - 166*p) to c + y*p**2 + k*p**3 + d*p**4 + r*p and give d.\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -z. Let a(o) = 11*o - 2. Let v be a(-2). Let d be ((-3)\/v)\/((-2)\/12). What is the nearest to z in 0.1, -4, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*f + 3*f - 58, 4*f = -3*p + 83. Let t = 27 - f. Suppose 3*b + t = 22. Solve b*x - 15 = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 77. Suppose -5*g = -9 - 121. Let o = q + g. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272*h**2*s**4 - 6248923*h**2 + 210*h*s**2 - 2 with respect to s.\nAnswer: -1088*h**2*s**3 + 420*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -212 - 4*j + 3*j**4 + 6*j + 330 in the form m + s*j**2 + x*j**3 + o*j + p*j**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983 = 2*w + s, 25*w - 3*s + 2457 = 30*w. Calculate the greatest common factor of 451 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5708*l + 5601*l + 5705*l - 17011*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/80 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -1*6\/(-3). Suppose -2*n = p + j, -4*n - 12 = -5*p + 23. Let y = p + -3. Solve -2*l + 25 = -y*l - 5*u, -4*l + 5 = -u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.5, -34, 0, -3\/26, -21 in decreasing order.\nAnswer: 0.5, 0, -1\/9, -3\/26, -21, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.1 (b) -6067 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((6 - 0) + -3 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 1, k: 2, g: 3, o: 3, x: 2}. What is prob of sequence xo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5\/5 - 159*d**4\/5 - 606*d**3\/5 - 894*d**2\/5 - 591*d\/5 - 147\/5.\nAnswer: -3*(d + 1)**4*(d + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1140 <= -5698\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 14 + 1)*((5*q + q - 2*q)*(1 + 1 - 4) + 2*q + 2*q - 6*q)*(-7*q - q + 2*q) to the form p + y*q + x*q**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v*v*v**(-1\/2)\/v)\/v))*v)**12 assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -543 - -1052. Suppose 55 + c = 4*p. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72418*o + 29*o**2 + o**2 + 72383*o in the form n + h*o + l*o**2 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + t - 2)*(-3 - 2 + 6) - 4*t + 9 - 9 + 114 - 11*t - 114 as r*t + j and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 84\/11, -1, -17\/12, 4?\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0.5, -1, -7, 735, 0 in descending order.\nAnswer: 735, 0.5, 0, -1, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let m(y) = -y**2 + 3*y - 4. Let h(o) = -2*o + 3. Let z(c) = 3*h(c) + 2*m(c). Let t(j) = k(j) - z(j). Let a(r) = -3*r + 1 - 1. What is a(t(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -22 + 12 - 12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a61e (base 16) to base 8.\nAnswer: -323036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -952787, -1905737, -2858687, -3811637, -4764587, -5717537?\n\"Answer: -952950*z + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963 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: Factor 16\/9*z - 2\/9*z**2 - 10\/3.\nAnswer: -2*(z - 5)*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + (-88)\/(-40). Let u(b) = 4*b**m + 71*b - 71*b - 5*b**2. Let g(i) be the first derivative of -i**2\/2 + 1. Calculate u(g(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 27953231.8 to the nearest ten thousand.\nAnswer: 27950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478078226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 629 + -617. Calculate the highest common factor of q and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 1866*h**3 - 1867*h**3 + 4*h - 6*h + 2*h**4 as x*h**3 + p*h**2 + r*h + d*h**4 + u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -455 + 0?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.88139 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -715 - -407. Let u = r - -617\/2. Which is the nearest to u? (a) -4 (b) -0.02 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - l = 16, 2*l = -2. Let p(z) be the second derivative of 1\/10*z**5 - 1\/3*z**w + 0*z**4 + 0 + 0*z**2 - z. Let p(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*a*v**3 - 7*a*v**2 - 7*a*v + 2*a + 22*v wrt v.\nAnswer: -954*a*v - 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**2. Let c(p) = 64 + p**2 - 64. Determine x(c(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 24747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7628823 and 52497.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -1. Let x = 9 - o. Find the first derivative of -4 + x + m**3 + m**3 wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(325\/(-10)))\/((-37)\/(-8140)*22)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -592, 2 in decreasing order.\nAnswer: 2, -4, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8 = -2*c, 4*c - h - 2*h + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 20, 4*l + l - 3*g = 185. Suppose -10 = 4*q - l. Suppose 20 = 3*i + 2. Calculate the greatest common factor of i and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 + 173*p - 5 + 124*p as h + z*p and give z.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000126498 to seven decimal places.\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1156 + -3?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 3. Suppose 5*t = -4*h - 0*h + 158, -22 = -t + 4*h. Suppose 4*d = -6*d - t. Determine a(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpkkkkkppp. Give prob of picking 3 k.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1075*m + 31. Let c(v) = -1077*v + 23. Give 4*c(o) - 3*n(o).\nAnswer: -1083*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c\/((c\/c**(-3\/5))\/c) assuming c is positive.\nAnswer: c**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-26)*g**(3\/5)*g\/(g**(2\/11)\/g) assuming g is positive.\nAnswer: g**(-439\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/2 (b) -0.6 (c) 404 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 8820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -475, -3, -4, 1, 22, -2, 0.\nAnswer: -475, -4, -3, -2, 0, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 27*y**2 - 178*y + 157. Give k(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 45*j + 330. Let p be w(-9). What are the prime factors of -5 + p\/(-1) + 1795?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78796, -79365, -79934, -80503, -81072?\n\"Answer: -569*k - 78227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37663264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttwwwwwwtww. Give prob of sequence twww.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*y + 48232, -2*y - 8*q = -10*q - 19304. Does 72 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-2*(sqrt(11) - (sqrt(11) - sqrt(33)\/sqrt(3) - sqrt(11)))) + 0 + -5 + (-3 + ((sqrt(11) - 1*sqrt(11)) + 1 - sqrt(11)))**2.\nAnswer: 10 + 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - a - 15 = 0, -10*u = -6*u + 4*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*a + 14, -a - 8 = x - 24. Let h(r) = r - 444. Let l be h(33). Let c = -389 - l. Calculate the greatest common factor of c and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 18. Let y be f(-10). Suppose -y*z - 19540 = 16460. What is z rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9385*c - 2249*c + 6265*c - 3125*c to the form z + j*c and give j.\nAnswer: 10276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + (0 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 + 3*c + 2. Let m(x) = 4*x**3 - x**2 + x. Let v(l) = 3*l**3 + l. Let d(p) = -3*m(p) + 2*v(p). Let w be d(1). Determine j(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55 - 2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 92 - (-10 + -27 + 27 - -7)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139761.61816 less than 0.5?\nAnswer: 139762.11816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 50. Suppose 0 = 5*s + 3*t - 93, -x*t = s - 0*t - 20. Solve 5*y = -2*p + 22, -2*p - y + s = 3*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7185*q = 5401*q + 679*q + 795900 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 13. Let g(p) = u*p**2 + 2*p**2 + p**3 - 10*p - 4*p**2 - 7. Does 9 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34778, 139757, 314726, 559691, 874658?\n\"Answer: p**3 + 34989*p**2 + 5*p - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 648, 1359, 2070, 2781, 3492, 4203?\n\"Answer: 711*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 9*l + 16. Let i be p(11). Let b(f) = -2*f - 8. Let r be b(i). Solve 0 = y - v, -r*y - v = 4*v - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 3*f**2 + 4. Let p be y(3). Suppose p = v + v. Let z(i) = -i - 3. Calculate the remainder when v is divided by z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c**3 + 117\/4*c**4 + 59 + 0*c - 80*c**2. Find the second derivative of i(b) wrt b.\nAnswer: 702*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201\/410 - 2\/205. Which is the closest to w? (a) 0 (b) 2\/15 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3641, 3\/5, -142\/7 in ascending order.\nAnswer: -142\/7, -0.3641, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 1. Let o = q + 15. Suppose -2241 - 2206 = -95*x - 1312. What is the remainder when x is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 - (-559)\/364\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380568 and 188264?\nAnswer: 88672344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from airaikh. Give prob of picking 1 h and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 868081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -4*b + 2*g, -2*b - 3*g + 316 = -0*g. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-170)*138\/((-8)\/4). Let d = -7\/17 - l. Which is the closest to 3? (a) 0 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 - 42 + 170)*(14*h - 7*h - 21*h) + (-1 + 1 - 1)*(4*h + h - 3*h - 1 + (2 + 2 - 5)*(-5*h - h + 4*h)) to g + a*h and give a.\nAnswer: -3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 1003 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(208) - ((2 + sqrt(208))**2 + sqrt(208))) + sqrt(208).\nAnswer: 84*sqrt(13) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1209488379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**4 + 4*x**3 - 4*x**2 + 36. Let w(i) = 16*i**4 + 11*i**3 - 11*i**2 + 107. Let o(q) = 11*v(q) - 4*w(q). What is the derivative of o(c) wrt c?\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.19 and -11781637977.\nAnswer: -11781637976.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 15. Suppose -2*m = 3*b - 258, 11*m = 2*b + 10*m - 179. Suppose 0 = -r*f + 96 - b. Solve 2*o = 2*k - 14, -f*o = o + 3*k + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26864 and 140816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a - 9 = 3*v, -5*v + 9 = -a. Let m(g) = -g - 7. Calculate the lowest common multiple of m(-9) and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 3*d**2 + 3*d**2 + (2*d**3 - d**3 - 3*d**3)*(2 - 1 + 1) + (4*d**2 - d**2 - 5*d**2)*(5*d - 3*d + 0*d) as r*d**2 + t + b*d + i*d**3 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 18 + (-32 - (-8 - 4)) - 20.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15*((-15)\/(-12))\/1. What is the closest to 0.2 in 3, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -352?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 1, -3, -0.85, -154?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/3 + (-32)\/(-48). Let q(u) = -u**3 - 19*u**2 + u + 30. Let m be q(-19). Let s = o + m. Solve s = -0*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 4)*(p + 2*p - 6*p)*(0*p + 0*p + 2*p) in the form a*p + i*p**2 + y and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 - 4.62. Let o = f - -9. Let k = -49 - -345\/7. What is the closest to k in o, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -3) + (-1 - -3). Let d(w) = -w + 5. Let q be d(5). Let p = -1.2 - -1. What is the nearest to 0 in x, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2377 - -2393. Let j = -25 - 4. Let n = j + 53. Calculate the greatest common factor of n and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -4.9. Let z = -1\/67 + -131\/201. What is the closest to z in x, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 243*k**7\/7 - 89*k**3\/6 - k**2 - 211*k. What is the second derivative of n(c) wrt c?\nAnswer: 29160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 5*j - 12. Let s be 23\/(-4) - (-24)\/32. Let g be m(s). Suppose -w = -2*w - g. What is w rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 92*h - 1. Give n(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h**(-5)*h))\/h)\/h)\/h)**(-5\/17) assuming h is positive.\nAnswer: h**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 17848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/143 and -31\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117084*a**3*q**6 - 2*a**3*q**2 + 108803*a**2*q**2 + 3*a*q**2 - 4*a - 8*q**6 wrt q?\nAnswer: -14050080*a**3*q**3 - 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 90. Let j = o - -5\/3. Sort 1\/3, 4, j.\nAnswer: j, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -582393, -582387, -582381, -582375, -582369?\n\"Answer: 6*a - 582399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4.866, -2\/113, -19.3, -1\/6, 2\/3?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 + 80*f**2 - 4275*f + 91535. Calculate r(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 3*p - 6 = 4*c + 10, -4*c = 4*p - 40. Let v(k) = -k**3 + 9*k**2 - 8*k + 3. Let m be v(p). Solve m*t + 9 = -y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/66127 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -4 (c) -76420 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22643 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 17*i - 3. Let j(k) = -k**3 + 17*k - 4. What is -3*j(c) + 4*x(c)?\nAnswer: -c**3 + 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144082*g**3*m + g**2*m - 28*g**2 + 66*g*m - 3 wrt g?\nAnswer: -864492*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 + w - 1. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3106, -0.2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s - 115 = -5*y, 0 = -5*y - 5*s + 165. Let j be 173\/y*4 - 6\/(-21). Solve -30*x + j*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 2. Let h = -90 + 87. Determine r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(99)\/(sqrt(9) + (sqrt(9) - sqrt(144))))**2 - sqrt(44)\/sqrt(4)*4) + (2*-1*sqrt(99))\/sqrt(9).\nAnswer: -6*sqrt(11) + 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 23*d - 55. Let y be j(21). Let l = -97 - y. Which is smaller: 2\/67 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 - 1212 = -6*m. Calculate the remainder when m is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 + 4. Let p = -5 + 2. What is d(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6 + 8 = -2*q, -1512*p + 1515*p = 13*q + 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/((sqrt(96)\/sqrt(2))\/sqrt(12)) + (1*sqrt(56)\/sqrt(4))\/sqrt(2) + -1*((sqrt(700) - (3 + -1*sqrt(700))) + 4))*4)**2.\nAnswer: 576*sqrt(7) + 36304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 + (-393)\/(-21). Let t = 7973 + -7954. Calculate the highest common factor of t and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 51*k**2 + 11. Let j(c) = -49*c**2 - c - 9. What is 3*d(a) + 2*j(a)?\nAnswer: 55*a**2 - 2*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4*d - 2 - 260*d + 2).\nAnswer: -528*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 83*d**2 - 354*d + 34. Give a(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -572, -574, -576, -578?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 4*v + 5. Let u be w(5). Let a be (-10 + 9)\/(1\/15). Let f = a - u. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)*h)**36\/(h\/(h\/(((h**(-1\/3)*h)\/h)\/h)))**(-3\/26)*(h**(-6)\/(h*(h\/h**(-4)*h)\/h))**(-15) assuming h is positive.\nAnswer: h**(2572\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 183 = 3*j - 1, 0 = 4*f - 5*j - 184. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 6*z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 71*l + 5. Let i(u) = 2166*u + 152. Give -152*f(p) + 5*i(p).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 50 = 3*b, -1 - 1 = b + 5*j. Suppose 0 = -0*o - 3*o + b. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. Let l be ((-1)\/i)\/(5\/6). What is the smallest value in -5\/4, -1\/8, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7827*m**2 + 40*m - 32*m**2 + 254*m**2 - 40*m in the form c*m**2 + n*m + o and give c.\nAnswer: -7605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*r + 249*r + 134*r + 51*r in the form h + w*r and give w.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - u + 23*u**3 - 12*u**3 - 6*u**2 - 19*u**3 as c*u**3 + w*u + f + z*u**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -24. Suppose -q - 2*q = s - 41, q - a = -2*s. Calculate the lowest common multiple of 18 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 19*d - 261 = -199, 0 = -3*b - 4*d + 52 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 18*x + 332. What is w(29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 13) to base 9\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410700 (base 9) in base 13?\nAnswer: 211854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 - 3*o - 8. What is j(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 14) + 9 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*g - 59 = 0, -702 = 12*f - g - 653 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001114633 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 96. Let w(d) = 18694*d**2 - d. Determine s(w(h)).\nAnswer: 18694*h**2 - h - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.2571*2.\nAnswer: -72.5142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -24. Suppose -14*q = -11*q + 36. Let v = q - m. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 170\/(-6)*(68 + -74)\/(-1 + 2).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -34*c**2 + c - 3. Let r(w) = -103*w**2 + 3*w - 9. Let u(y) = 8*h(y) - 3*r(y). List the prime factors of u(2).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 128, 132, 136?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-15))\/((-3)\/20). Let x = -1 - v. Find the third derivative of -r**2 - 4*r**2 + x*r**2 - 2*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a39e2 - 51?\nAnswer: a3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555926 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from mmmmmmccmmcmmmmcmmmm?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o + 9. Let t(m) = 23*m + 26. Let p(s) = 0*s - 3 - 2 + 3*s - 6. Let l be p(-7). Let j = l + 15. Give j*a(f) + 6*t(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4735, -19619, -44443, -79207?\n\"Answer: -4970*h**2 + 26*h + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a factor of 33440659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 31*c**3 - 15*c**2 + 43473*c.\nAnswer: -12*c**2 + 186*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109640, -219279, -328918?\n\"Answer: -109639*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -22, -29, -54, -103, -182?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -340?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) 9\/2 (c) 151 (d) 0.4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 20*d + 20. Let u(q) = q + 1. Let y = 102 + -82. Let v be (-2)\/8 + 3\/(-4). Let l(c) = v*b(c) + y*u(c). Let i(r) = r. What is i(l(p))?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:29 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.35 plus 496140420?\nAnswer: 496140443.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2985907*w**2. Let f(s) = s**2 - 65. Give f(q(b)).\nAnswer: 8915640612649*b**4 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-120)\/(-54)))\/(9\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-2)\/(-1))*1. Suppose -2*b = -6 - 2. Suppose s - 18 = -4*z, 3*s + 3*z - 13 - 5 = 0. Solve -3*f - h = s*p, 7*p = 3*p - 4*f - b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (5 - 45\/10*(-44)\/(-66))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/2 (c) 8 (d) 111 (e) -11141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/5 + 215642*q**3\/5 - 3018836*q**2\/5 + 9487672*q\/5 - 1725024 = 0?\nAnswer: 2, 10, 215628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541 a factor of 27575494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 1994 * -2311\nAnswer: -4608134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrc when three letters picked without replacement from crrrcrrrrrrjrrcrr.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6150 and 12?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003128702501 to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 4427.\nAnswer: 619.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131121 + -20023?\nAnswer: -10211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 - 214 + 1662)*(-5*y - 2*y + 6*y + (-3*y + y + 0*y)*(0 + 3 - 2) - 4*y + 2*y + 0*y + 2*y + 2*y - 3*y + 3 - y - 3 + y - 2*y + 0*y - 2*y + 2*y + y).\nAnswer: -8415*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7292.942mm?\nAnswer: 729.2942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-26)\/4 - -2 - -3). Suppose -3*b = -4*b - x. Let k be b\/5*(-5)\/2. Is k less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271847 is divided by 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 + 7*z**5\/60 - 3*z**4\/8 - z**3\/6 - 2*z**2. What is the remainder when 18 is divided by m(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + -16. Suppose -29*c = -8*c - 3045. Let y = c + q. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1827667851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*b**2 + 275*b**2 - 1 + 1 to l*b + u + p*b**2 and give p.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*z = -118*z - 1020. Is (8 + -30)\/(1 + 70\/z) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98342656 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.6 + -49. Let z = 5.6 - 6. Let q = z - s. Which is the third smallest value? (a) -5 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3473*f + 1660*f + 102660 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -1, -7, -11, -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 4*f**2 + 5*f - 4. What are the prime factors of y(5)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let j(t) be the first derivative of -13*t**3\/3 - 11. What is y(j(f))?\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 3580764.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6839 - 4033 - 130*s**2 + 132*s**2 to c + t*s + f*s**2 and give c.\nAnswer: 2806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -366*u + 419. What is the tens digit of b(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 2*u + u + 0*u. Let y be l(-1). Let o = -42 - -46. Solve o*b = 5*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(85) - -3*sqrt(85))*-2 - sqrt(85)))\/(((sqrt(45)*-3 - sqrt(5)) + sqrt(5))*-4).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5)*-2*-5. Let g be (1\/(-2))\/(3\/(-30)). Suppose -4 = -u + g*u. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2547*n**3*q**5 + 155*n**3*q**4 + 5*n**3*q + 287*n**2*q**2 + 24*n*q - n wrt q?\nAnswer: 152820*n**3*q**2 + 3720*n**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 2*y - 5. Suppose -24 = -5*l - 3*v, -6 = l - 2*v - 3. Let s be z(l). What is the remainder when 79 is divided by s - (13 - 1)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 25 - 17 + 0*a - 4*a + a**2 - 10. Let k = 25 + -17. Does 6 divide p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from yyfyeyhfyyyhy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*h + 120 = 7*p, -5*h = 4*p - 123. Let w = 5 + 12. What is the remainder when 6*(-3)\/(-6)*w is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 5*n**2. Let d be b(5). Let u be 2*((-9)\/(-6) + d). Solve -3*y + 8*y + l = 23, 0 = -y + u*l + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-100))\/(-11)*130\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*m + 156, -3*m = -3*w - 0*w - 117. Let o = -23 - w. What is the remainder when o is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96493*f*h**5*t - 37*f*h**5 + 2*f*h - 1613*h**2*t - 206*h*t wrt h.\nAnswer: 5789580*f*h**2*t - 2220*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:14 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7995656 to the nearest integer?\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7518, -7108, -6684, -6240, -5770, -5268, -4728?\n\"Answer: f**3 + f**2 + 400*f - 7920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 17*g**2 - 14*g + 26. Let r be f(-16). What is the units digit of -5*(12\/r - 72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 24*c - 24. Let y be d(13). Suppose y*j = -4*p - 18, 5*j - 15 = -5*p + 10*j. What is the nearest to p in 1\/3, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 2*o - 4, 2*q = -3*o - 2. Let z be (-8)\/8*-1*q. Let y be ((-110)\/15)\/((-6)\/9). Solve 4*h + 1 = z*a - y, 0 = -5*h - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000222 (base 3) to base 8\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -42, -4, -118706, 0.\nAnswer: -118706, -42, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -1528 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3500964.\nAnswer: 2, 3, 79, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 748487017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 45 = -5*j. Let h be (-2 - j\/(-6))*4. Let d be -1 + 396\/h - 1. What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 38 = -4*f, 2*c + 4*f + 10 - 30 = 0. Differentiate -12 - 5*o**2 + c*o - 18*o wrt o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f*t**6 + 3*f*t**3 + 10*f*t**2 + 12*f*t - t**4 + t wrt t?\nAnswer: -1200*f*t**3 + 18*f - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuuuuujuujuujjuuuu. Give prob of picking 2 j and 1 u.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 3. Let j(l) = l**3 - 2*l**2 - l. Let p be j(2). Let v be p*(11\/12 - 1). Put s, 0.2, v in increasing order.\nAnswer: s, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -16*w + 11. Let p(q) = 3*q - 2. Suppose 409 = 3*k + 4*r - 55, -429 = -3*k + 3*r. Let x = 126 - k. Let z = -13 + 9. Give x*p(a) + z*n(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - c = -17, -3*c = 17*x - 15*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/13, -1\/9, 5.46?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 15. Let v be w(3). Suppose -8 = -k - s + 4*s, v = -k - s. Let f(g) = 3*g**3 - 4*g**2 + 4*g - 2. What is f(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7192*d + 28758*d - 7192*d - 7188*d - 7187*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + 3\/(-1 + -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -73093*n + 438566. Calculate m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.6 and 0.028724.\nAnswer: -0.5055424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274042 (base 10) to base 14.\nAnswer: -71c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 3, s: 1, g: 1, k: 3, z: 1}. Give prob of picking 1 z, 1 s, and 2 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-3 - -6) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15358 is divided by 5046.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 2054*x**2 + 1026*x.\nAnswer: 2*x*(x - 513)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17356674 = 2000526. Let q = j + -1921440. Round q to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(6))**2 - sqrt(12)\/sqrt(64)) + 0.\nAnswer: -sqrt(3)\/4 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1609338, 3218659, 4827980, 6437301, 8046622?\n\"Answer: 1609321*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4589620?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 229*y - 9605. Let s be g(42). Solve s*f + 28 - 119 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x. Suppose 3*v = -2*j + 26, j - 3*v = -x*v + 13. Suppose 4*y - 88 = -4*f, -f + j = 2*y - 36. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098 to the nearest ten.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/7 (b) -0.1212 (c) 40819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 1. Let d = -37867 - -37871. Let o(q) = 5*q - 1. Let a(k) = -6*k + 1. Let c(p) = 4*a(p) + 3*o(p). Determine d*c(x) + 7*t(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(4\/2))\/(-1). Let k(c) = 3 + c - 2*c + o*c. Give k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 14. Let j be z(-10). What is the greatest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 + 74*m**2 - 37*m + 53. What is the remainder when l(24) is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 7 + 8 = 2*w, -9*l + 27*w = -8*l + 217 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475431567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/18 - 11\/9. What is the nearest to 0 in -4, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {d: 6, f: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/20 - 38\/8. Let i = n + 281\/52. Let q = 1.8 + 0.2. What is the third smallest value in i, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-414)\/(391\/17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46485?\nAnswer: 3, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s**3 - 1. Let l be g(1). Suppose 0 = 5*d + 2*d - 189. Suppose -4*v - d = -l. Do v and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298119 is divided by 148966?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 3*t + 0*t. Let r(i) = 2 - 10 + 5*i + 8. Give r(k(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/(k*k\/((k\/(k*k**(2\/5)\/k))\/k)))**(-2\/3) assuming k is positive.\nAnswer: k**(82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 15.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.3 - 13.3. Let u = -0.2 - 3.3. Let n = u - 1.5. Which is the second smallest value? (a) f (b) n (c) -2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25275 divided by 2.\nAnswer: 25275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 6, 38, 14, -31 in increasing order.\nAnswer: -31, -1, 5, 6, 14, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 319573353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*c - 146952 = -993*c - 285*c for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 48126891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssn when three letters picked without replacement from {h: 3, x: 1, n: 1, s: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5003.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/5, -5, 0.3, -0.67 in descending order.\nAnswer: 0.3, -0.1, -1\/5, -0.67, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/48)\/((-2)\/16). Suppose 0 = q*c + 25, -4*c = 5*v - 7*c - 2050. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 9*m + 5. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 10*c + 162. Suppose -c*s + 80 = -11*s. What is the remainder when 1\/(((-4)\/(-26))\/2) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2. Let m be 6\/(-3) + (1 - -1). Let n(s) = m*s - 3*s + 2*s + 0*s. Calculate n(r(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/6 + o**3\/3 + o**2 + o + 31. Let v(y) = -y**3 - 4*y**2 - 5*y - 5. Give -5*r(c) - 2*v(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = 4*x - 14547, 4*z = -20. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Let l = x + 2. Let k be 16\/(l\/3)*2. Solve 6*m = 2*m + k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -111, -255, -457, -717?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q - 90*q = -3945 - 15207. Let a = 41 - 7. Calculate the remainder when q is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 3*b**2 - 2*b + 4. Let c be p(3). Let x = -1 + -1. Let m = c - x. Solve m = -4*y + y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 + 98 - (-2222)\/110?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9149645 divided by 20561.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26284 + 606021. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 103 = 4*s + 35, 0 = -3*k + s + 71. Let f be ((-104)\/3)\/(k\/(-33)). Calculate the common denominator of -39\/14 and (-273)\/f + (-8)\/(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 25*f**3\/3 + 733. Let x(w) = 27*w**2. Determine x(k(z)).\nAnswer: 16875*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:49 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -0.3 (c) 224 (d) -0.2 (e) -0.4 (f) 2.15 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1500 and -83\/2000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**5 + 28*y**3 - 28*y**3 + (2*y**3 + 0*y + 0*y)*(4*y**2 - 4*y**2 - y**2) + 7*y**5 - 3*y**5 + 5*y**5 - y**5 + y**5 - y**5.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192276378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -19, -29, -39, -49, -59?\n\"Answer: -10*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -63. Let p = t + 39.9999906. What is p rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhhttuyttttuhhhtt. What is prob of sequence uutu?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -15 (c) -3 (d) 421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 4, c: 3, a: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.086803 micrograms to tonnes.\nAnswer: 0.000000000004086803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 19. Let f = -7873\/31524 + -2\/7881. Which is the biggest value? (a) f (b) -157 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1275, -1313, -1353, -1395, -1439, -1485?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9575 = 5*h, -1930 = -h - 3*z - z. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a - 30. Let c be 1\/(-2) + 2\/4. Let p be 6\/((c - 1)*(-3)\/6). Does 13 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 27\/35, 2, -0.1 in ascending order.\nAnswer: -0.5, -0.1, 27\/35, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b3 - -81d0d?\nAnswer: 81dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08251462106 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11000100010000001011111 (base 2) to base 12\nAnswer: 21a1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19437 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 4, 1.5, 0.4 in increasing order.\nAnswer: 0.4, 1.5, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (113\/678)\/(1 - (-8)\/(-9)). Let u(l) be the first derivative of 0*l**3 + 0*l + 3\/4*l**4 + 2 - j*l**2. Find the second derivative of u(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 = 145*o + 163*y - 166*y, 11 = 5*o - y + 35 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d708c (base 14) in base 4?\nAnswer: -1332221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -104. Which is the nearest to -0.5? (a) 2\/9 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -31*p**3 - p**2 - p - 1. Let c(y) = -y**3 - 2*y**2 - 3*y + 1. Let f be c(-3). Let o = -20 + f. List the prime factors of l(o).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13774137 and 15?\nAnswer: 68870685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 444*i**2*y**2 + 33*y**2 + 3*y wrt i?\nAnswer: 888*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 3. Let l be ((-15)\/r)\/(1\/24). Let p be 1 + -2*15\/l. What is the smallest value in 2\/7, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59489 less than -59490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77237\/4 - 19309. Let n(l) be the second derivative of v*l**5 + 0 + 0*l**2 - 29*l + 0*l**3 + 0*l**4 - 1\/6*l**6. Solve n(r) = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:24 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10874.\nAnswer: 10871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231*(-74)\/(-6105)*(45\/(-24))\/(-3)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 3. Let s = u - -16. Let l = 0 + -0.1. Is s != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*s + 50*s. Suppose -2*c + 4*c = s. Solve c*n + 9 = l + 3*n, -3*n + 9 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13290, -12787, -11926, -10689, -9058, -7015?\n\"Answer: 3*d**3 + 161*d**2 - d - 13453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -843 - 1086 + 88*m**3 + 790 - 542 - 33*m**3 wrt m?\nAnswer: 165*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9652 + 13733. Suppose 4*n = -801 + p. Let z = -565 + n. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) -1\/164 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8379 or 5608?\nAnswer: 5608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 52*h = -41 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11353216?\nAnswer: 2, 7, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-32))\/((98\/(-637))\/(36\/39))\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13093652?\nAnswer: 2, 11, 13, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3 - 5929192)\/305. Let c = r - -19440. Let q = -283\/122 + c. Calculate the common denominator of q and 53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 53013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 16*m - 22. Let d be j(5). Solve -p = -10 + d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - m - 1. Let w(g) = -6*g**2 - 69*g - 116. Let p be w(-2). Let u(o) = 4*o**2 - 2*o - 1. Give p*s(r) + 3*u(r).\nAnswer: 4*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4220?\nAnswer: -9\/4220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2381 (base 9) to base 2.\nAnswer: -11011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + -22 - (-11 - -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247980 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n = -373 - 631 + 45 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6481420 divided by 3466\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6573662 to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t + 30. What is the lowest common multiple of 33 and y(0)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*x + 184 + 188, 732 = 4*a + 2*x. Let v = 311 - a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 53*l - 15)*(-l**2 + 2*l**3 + l**2) to g*l**3 + h + z*l**4 + o*l + d*l**2 and give z.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 4*m**2 + m + 4. Let x be o(-4). Suppose x = 2*u + u - 360. Suppose n - u = -3*n. What is the greatest common divisor of 75 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 31 = 104. Let q be x\/81 - (-1 - -2). Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 0.7. Let v = -143.8 - -145.8. Let j = 0.01 + 3.99. What is the smallest value in g, v, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 861, 867, 875?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5\/4 - 29*v**4 + 19*v**3.\nAnswer: v**3*(v - 38)*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -721.67 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*o**6 + 2*o**4 - 5*o**3 + 18*o**2 - 128*o?\nAnswer: 12000*o**3 + 48*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44494524 smaller than 489439752\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 4*c - 48. Let v be m(0). Let h = v + 280. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in seconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}