diff --git "a/data/dm_maths/full_data/10544_11255.jsonl" "b/data/dm_maths/full_data/10544_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10544_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o(a) = -2*a + 0*a**2 + 0*a**2 - 1 - a**2. Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4409974, -4409973, -4409972?\n\"Answer: z - 4409975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 1*(-86351)\/42820. Let o = -2\/32115 + u. Find the common denominator of 91\/12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 22*w**2 + 9*w - 47. Let h be g(-22). What is the common denominator of h\/15*(-9)\/30 and -32\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656910, -656908, -656906, -656904, -656902, -656900?\nAnswer: -656898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-32) + (-1001)\/(-28).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375498.6 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f + 4. Let k be n(-3). Suppose 0*m + k = 4*m. Suppose -9 = -b - m. What is the remainder when 31 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 25*z + 18. Determine n(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11. Calculate the remainder when ((-603)\/27 - 9)*((4 - 5) + -2) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) -1 (b) 2\/7 (c) -37.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -7, 1, -9.2, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**4)\/o**(-5)*(o**(-5)\/o)\/(o\/o**(2\/9)*o))**3)**(-2\/9) assuming o is positive.\nAnswer: o**(-58\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 75, 5300?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(21\/2) - (-41 + 41). Put 1\/6, -1\/4, -9, y in decreasing order.\nAnswer: 1\/6, -1\/4, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/189 and -103\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*r**3 - 4 + (r + 5 - 5)*(23*r**2 + 44*r - 44*r) + 5*r**3 + 0*r**2 + 0*r**2 - r**3 + 0*r**3 + 0*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(7*2))\/(13\/(-26))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0.163, -0.1, -2\/9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3933 and -77\/457539.\nAnswer: 1372617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617984*d - 617998*d = 322 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 2*f**3 - 27*f**2 - 52*f - 28.\nAnswer: (f - 7)*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 r when three letters picked without replacement from {r: 2, y: 2, l: 3, j: 1, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*z = -394*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -25*h**2 - 237*h - 131. What is t(-11)?\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - -1 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884 - 8358 = 498*h + 376*h + 372 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.7 - -11.6. Let p = 2 - 0. Let s = p - 3. Which is the second biggest value? (a) 2\/11 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2 - 3) + (0 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 - 151356*q - 10580220 = 0. Calculate q.\nAnswer: -50382, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*j + 0*j + 0*j)*(5*j + j - 4*j) - 2*j**2 + 5*j**2 - j**2)*(-43*j + 22*j + 37*j) to c*j**2 + x*j**3 + t + l*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3680 - 6631\/25760. Which is the third biggest value? (a) -4 (b) x (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 5 (c) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3633 and 7863888.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3672469, -3672470, -3672471?\nAnswer: -3672472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**4*m**5*m**2\/m**(-1\/2))\/(m**(-1\/4)*m*(m*m*(m\/(m\/(m*m\/m**(3\/5))))\/m)\/m*m*m**(-5\/4)\/(m*m**0\/m)) assuming m is positive.\nAnswer: m**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5404771 + -5404577.999845. Let p = g - 193. Round p to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let p(z) = -z**3 - 4*z**2 - z + 2. Let y be p(-3). Let w = -46 - -45. Which is the second smallest value? (a) y (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1*(4 - 3)). Let w be 32\/((-3)\/((-3)\/q)). Determine p so that -16*p**3 + 2*p**2 + w*p**5 - p**3 + 3*p**3 + 15*p**4 + p**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:00 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 37 = 4*h - 69, 4*h - 3*a - 2*a = 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1999 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 33. Suppose 3*z - 15*z = -36. What is the remainder when h is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(500))**2*-1.\nAnswer: -509 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*r = 853*r. Suppose 0*m - m**3 + m**4 - 1\/4*m**5 + r + 0*m**2 = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:40 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((0 - 1) + 34). Let x = k + 52. Solve -d = 4*p + 3*d + x, 4*d - 29 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:10 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:25 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 56*q**2 - 411*q - 313. Determine m(-63).\nAnswer: -2203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uututututttttutuutuu.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/81 - 8\/6 - -863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/(-24) + (-1)\/(-6). What is the tens digit of (o - (-10)\/8)\/(2\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (0 - -18) + -21. Calculate the greatest common factor of o and 447.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5558 - 11417 + 3854)*(-90 + 90 - 15*z**3) to c*z**3 + o*z**2 + q + r*z and give c.\nAnswer: 30075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17045 and 56980.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26446*p**2 - 13374*p**2 - 13045*p**2.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 51.\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2124 = -2*t - 5*c - 75, t + 5*c = -1107. Let x be (-56)\/(-66)*t\/8. Let f = -10797\/88 - x. Find the common denominator of f and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34545 is divided by 2303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -9, -15, -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6214446 - 4?\nAnswer: 6214442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093243 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667251*q - 4*j = 667214*q + 950, 2*q - j - 49 = 0 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 + 3*g**2 + 3*g**2 + (0 + g + 0)*(0 + 0 + 2*g) + (-45*g + 45*g + 3*g**2)*(-1 - 2 + 1).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 21. Let o be l(-3). Suppose 2*s = n + 1 - 0, 0 = -o*n + 5*s. Solve -5*w + 5*p = 0, -3 = -2*p - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3996 + -2725. Calculate the remainder when x is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2305*i - 1 + 1597*i + 1 - 1679*i as h*i + x and give h.\nAnswer: -2387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20126.\nAnswer: 2, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)\/j*j**(2\/9)*j**(2\/5)*j**(-1)\/j)\/((j**8*j*j\/j**(2\/5))\/(j\/(j\/(j**(-1\/6)*j))*j**7*j)) assuming j is positive.\nAnswer: j**(-2933\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.02915?\nAnswer: 0.0008745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004073428 rounded to five dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 2*n**5 + 5*n**2 + (4 - 4 - 3*n)*(-2*n**4 + 5*n**4 - n**4) - n**2 - 2*n**5 + n**2)*(3 + 2 - 2 + (52 - 138 - 78)*(0 - 3 + 6)).\nAnswer: 4890*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 19*r**2 - 1031 + 8383.\nAnswer: -r**2 + 7352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/2 (b) 29 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 4. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.085 times -4?\nAnswer: -2248.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q + 23. Let v be z(4). Let n be (1 - 3) + (-2 - -8). Suppose -2 - n = -v*o. Solve -o*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -213 and -69 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 2*l - l)*(2*l + l - l) + 2*l**2 + l**2 + 0*l**2 + 8*l**2 + 7*l**2 - l**2 as h*l + r + o*l**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 184*w + 56. Let s be f(-61). Let r(x) = -5*x**3 + 4*x**2 - 6*x + 5. Let j(m) = 4*m**3 - 4*m**2 + 5*m - 4. Calculate s*r(z) - 6*j(z).\nAnswer: z**3 + 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -679, -724, -759, -778, -775, -744?\n\"Answer: s**3 - s**2 - 49*s - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 - w. Let g be n(-4). Suppose s + j = 4*j + 2, 0 = g*s - 4*j - 8. Differentiate m - s*m + 1 + 2 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-80)\/36))\/((-25)\/(4000\/(-660))).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.2 (c) -0.4 (d) -2\/23 (e) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.1985 rounded to 1 decimal place?\nAnswer: -401.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 2. Let p be v(-3). Suppose 3*w - p*y = -65, 3*y - y = -5*w - 65. Let j be (-30)\/4*10\/w. Solve -3*x = 2*d + j, -4*x - 8 = 4*d + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 76\/(15\/6 + (-10)\/5). Suppose -32 = 6*w - l. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 71 - 8 = 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1235 + -876. Let l = y + 1141. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33258)\/256906 - (-2)\/(-82).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320574*o**6 - 13*o**3 + 3747661*o**2 wrt o?\nAnswer: -38468880*o**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 652 * 48\nAnswer: 31296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27279805 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1309042\/135 - -48483\/5. Let y be 8\/6 + (-1)\/3. Is v at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631543600 rounded to the nearest one million?\nAnswer: -632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005376 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-88))\/((-863)\/768933).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*a - 10 = 4, 4*f = a + 9. Let i = -1 - f. Let t be (i*2\/22)\/(-2). Sort 5, t, 1 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -91 and -75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -634, -2592, -5868, -10462, -16374, -23604?\n\"Answer: -659*z**2 + 19*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5034.305 millimeters to kilometers.\nAnswer: 0.005034305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*k - 3 + k - 5*k + 2*k + (-5 + 2 + 4)*(0*k + k - 3*k) + 3*k - 6*k + 2*k + ((-1 + 0 + 0)*(-2*k + 4*k - 3*k) - 3*k + 3*k + 3*k)*(-6 + 2 - 1).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxl when three letters picked without replacement from {x: 3, l: 4, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57466.09 millimeters in meters?\nAnswer: 57.46609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02715 + 25.02715. What is the biggest value in 1\/2, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:35 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - y - 4 = 0, y = 5*f - 3*y - 16. Suppose 3*l - 8 - 4 = f. Calculate the common denominator of (10\/l)\/(22\/28) and -30\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 22 - 11. Let p = y - 9. Solve -p*c + 8 - 18 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295681\/12 + -24474. Let k = -166 + v. Is k greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/1091 - -110121\/10910. Find the common denominator of 43\/738 and p.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53665957 and 0.5?\nAnswer: 26832978.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 + 30*x - 65 + (-3 + 0 + 2)*(0*x + 2*x - 11*x).\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, 2\/21, 2, -1\/165, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s + 7. Let i be ((-4)\/(-8))\/(1\/28). Let f = 8 - i. Let b be g(f). Solve 0 = -w - 3*a + b, 0*a + 5*a = -w + 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/15, 1\/4, -0.5, 0.42 in descending order.\nAnswer: 0.42, 1\/4, 2\/13, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**2 - 5*d. Let z(q) = -16*q**2 + 7*q. Let n(c) = -7*f(c) - 5*z(c). Let s(x) = 5*x. Calculate n(s(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 24*y**3 - 65.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -72, -93, -102, -93?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380.068 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 37*j + 80. Let f(h) = 3*h + 7. Let q(c) = c - 1. Let u(s) = -f(s) + q(s). Let a(d) = 4 - 3 + 0 + 0. Give j*a(t) - u(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7626990 is divided by 1389?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.96579 nanometers in meters?\nAnswer: 0.00000007196579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572008 is divided by 664.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17350 and 485800.\nAnswer: 485800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1981, -3923, -5825, -7687?\nAnswer: -9509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 37 = 5*m, -4 - 3 = -m - 4*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*o**2*t**2 - 590594*o**2 - t**2 + 1193*t + 1896 wrt o.\nAnswer: 34*o*t**2 - 1181188*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*b**3*k - 1446*b**2*k + 57271*k wrt b.\nAnswer: -24*b**2*k - 2892*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4 + 78*q**3 - 161*q**2 - 78*q + 160 = 0.\nAnswer: -80, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(-18*a**2 - 12*a**2 + 12*a**2 + (11*a**2 - 23*a**2 + 11*a**2)*(-6 + 1 - 6)) to the form h + g*a + x*a**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(1\/5))\/l**6)**(2\/5) assuming l is positive.\nAnswer: l**(-42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80367 = 2149*w + 11599 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -3*v, 2*c = -v + 29. Suppose f - r = c, -5*r = 2*f - 5 - 33. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 + -11?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -30*g**2 - 45*g + 86. Let b(l) = 6*l**2 + 9*l - 17. Let z(u) = 11*b(u) + 2*r(u). What is the hundreds digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 7*m + 6. Suppose -2*g - 3 + 15 = 0. Let c be a(g). Calculate the highest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3584.9956 - 3583. Let k = -2.2 + 0.2. Let n = k + t. Round n to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -140, -340, -638, -1040, -1552, -2180, -2930?\nAnswer: -3808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037684 is divided by 345894.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 1015471072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638520 and 3570.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 7773, 26354, 62583, 122352, 211553, 336078, 501819?\nAnswer: 714668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3 - 5*n**2 - n + n + 6*n**2. Let g(k) = -5*k**2 - 16. Let m(s) = -4*g(s) - 22*w(s). Differentiate m(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/(-16))\/((2\/(-12290))\/(168\/210)).\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*2*306\/(-17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 7. Suppose -12*x = 40 - 4. Let n = 0 - x. What is the lowest common multiple of n and y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 7*f**2 + 4*f + 3. Let m be y(4). Let u = 43 - m. Calculate the lowest common multiple of u and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/(-165))\/(1 - (-11)\/(-10)). Is w less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v - 1. Let k(i) = -i - 6. Let j be k(-3). What is p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3510)\/260 + 71\/(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-105) - 24\/(-40). Let f = 4.5 - 7.44. Let s = f - 0.06. Which is the nearest to z? (a) -5\/6 (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21955647 and 30.\nAnswer: 219556470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -998, -1924, -2882, -3878, -4918?\n\"Answer: -i**3 - 10*i**2 - 889*i - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366 and 145.\nAnswer: 53070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 16 = 2*o - 6*z, -o - 4*z = -17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -524054 and -0.08.\nAnswer: -524054.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2821221, 2821466, 2821875, 2822448, 2823185?\n\"Answer: 82*o**2 - o + 2821140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110150 and 655?\nAnswer: 14429650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/18*(7 + -1). Let i(q) = -116*q - 28. List the prime factors of i(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 4. What is the smallest common multiple of j*-2*(-2 + -3) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m + 1. Let f be h(7). Let t(y) = 106*y**3 - y**2 + 2*y - 1. Is t(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0540878 millilitres to litres.\nAnswer: 0.0000540878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 121*u**7\/210 - 71*u**4\/24 + 78*u**2. Find the second derivative of r(f) wrt f.\nAnswer: 1452*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*p + 51 = -0*x, 0 = -x + 3*p + 18. Calculate the highest common divisor of 81 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(h**2 - 4*h**2 + 2*h**2) - 454*h**2 - 7115 - 2299*h**2 + 7115 - 3*h**2 + h**2 + 3*h**2.\nAnswer: -2751*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) 16 (d) -1\/7 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911776 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034710.\nAnswer: 2, 5, 19, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8 = 4*v, 63917*l - 63918*l + 5*v - 8 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10002101102120?\nAnswer: 10002101102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6108757.4*-3\nAnswer: 18326272.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 9616*t\/7.\nAnswer: -2*t*(t - 4808)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8*i + 36. Let a be 1*(160 - (-6 + (-1 - -4))). Let f = a + -151. What is the lowest common multiple of i and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -1.6. Let f be (-11)\/(-3) + 3\/9. Suppose p = 4*u + 12, -3*u - 24 = 2*p - f. Which is the third biggest value? (a) k (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + (-1 - -5). Let o(i) be the third derivative of i**5\/60 - i**4\/12 - i**3\/6 - i**2. What is the units digit of o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -1887*s**3\/2 - 5757*s**2\/2 + 7411*s. Differentiate h(b) with respect to b.\nAnswer: -5661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8018981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 6.178?\nAnswer: -1.8534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -179393 times -4.04\nAnswer: 724747.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -66, -97, -134, -183, -250, -341?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from halavlqthhalll. Give prob of sequence hhvq.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 + 2*v + 4. Suppose -7 = -4*k - 31. Let c(u) = -5*u**2 + 2*u + 5. Determine k*t(i) + 5*c(i).\nAnswer: -i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*y + 2588 - 2599, 5*x = -3*y + 7*y + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 3*o + 1. Let n be v(2). Suppose -66 - 42 = -n*f. Let d be -1*(2 + -7) + (51 - 2). What is the highest common divisor of d and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -11\/2*b**2 - 1\/3*b**3 - 7 - 4*b. Does 24 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3503*i**2 - 16857*i**2 + 3984*i**2 - 44326*i**2.\nAnswer: -53696*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = -c, -4*s + 38 = -2*c + 10. Let t be (c\/25)\/((-4)\/(-10)) - -5. Suppose t*b + 231 = 6*b. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 712742822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h + 3. Let f(r) = 5*r - 2. Let g(j) = -7*f(j) - 4*u(j). Let p(o) = 2*o**2. Give p(g(k)).\nAnswer: 2*k**2 + 8*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - 18. Let q(g) = 7*g**3 + g**2 - 8*g - 6. Let u(n) = -37*n**3 - 8*n**2 + 39*n + 27. Let j(a) = -21*q(a) - 4*u(a). Give j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 18*h + 55. Let q be z(25). Let n = -112 - q. Calculate the remainder when 75 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234857, -469753, -704651, -939551, -1174453, -1409357?\nAnswer: -1644263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 457 = 562 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*f + 22, 0 = f - 0*f + 12*s - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/2 + 2*n**3 + 3*n**2\/2 - 2*n - 127. Calculate u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1742435 = -4467565. What is m rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 115 = 2*l. Suppose -4*u + 20 = u, 0 = -4*t - 4*u + 48. Suppose 4*s = 5*s - t. What is the remainder when l is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 12*d + 80, 5*l + 26*d = 23*d - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -43 in decreasing order.\nAnswer: 2, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a2 (base 15) in base 3?\nAnswer: 2222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 662 and 434272?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 103*i - 1808. Is 25 a factor of m(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 5 = -71 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:38 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2*b + 56. Let x be z(10). Let n = x - 78. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:07 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14909*h - 6497 + 49817 = -15289*h for h.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*l + 461 - 131 = 215*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 319 = -5*n, 11*z + 2*n = 9*z + 312. Suppose 709 - z = -8*j. Is -69 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -6, 11, 46, 105, 194, 319, 486?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -224. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024340 (base 5) in base 13?\nAnswer: 2a527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 285335819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 433915356 to the power of 1\/2, to the nearest integer?\nAnswer: 20831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12668 + 12674. Factor 3\/2*q**2 + 9\/2*q - t.\nAnswer: 3*(q - 1)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) + sqrt(2057)*2*-2))*-1*2)**2 + -1.\nAnswer: 131647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -142 + 56 + 296 - 101\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113110233 - 101?\nAnswer: 113110132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:50 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/190 and -8\/95.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -281.26 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159809 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1243 and 3?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 671.5 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -23*a**2. Let t be l(-1). Let c = t - -32. Suppose 2*b - 133 + c = -3*q, -2*b - 36 = -q. Calculate the highest common factor of q and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-634)\/(-18) + (2 - (-100)\/(-45)). Let r = 50 - t. What is the first derivative of 13*s - 5*s + 9*s - r wrt s?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/3 - 11*z**2\/2 - 2*z. Let y be o(8). Suppose -m = -y*m + 132. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288347 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (1*sqrt(1100) + -4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3.2. Let s = g - 1.2. Which is the smallest value? (a) 0.2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 q, and 1 w when four letters picked without replacement from {z: 2, n: 6, w: 2, q: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. What is the second smallest value in -1\/3, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236 equal to 34003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) 1100 (c) -3 (d) -1\/6 (e) 5 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 + 8 = -3*h + 4*x, -2*h + 203 = x. Let c = h - 55. Suppose -5*b + 64 = 2*a, -c = 2*a - 4*a + 3*b. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z - 7. Let v(d) = 5*d + 4. Let a be 7 - (3 + (1 - 1)). Suppose -j - 25 = a*j. What is j*v(o) - 3*w(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 65. Let v(a) = 29 + a**2 + 17 - 4*a - 50. Let i(m) = m**2 - 3*m - 4. What is j*i(h) + 3*v(h)?\nAnswer: -h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74115526591.25 - 74125252384.2499984. Let w = f - -9725785. Let b = 8 + w. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 41*w**3 + 7*w**2 + 2*w - 9. Let s be z(3). Suppose 3*a = 3*y + s, 0 = 3*a + a - y - 1559. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*x - 141*x - 118*x as g*x + c and give g.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goq when three letters picked without replacement from tgoqghttttgqtqh.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7614, -15402, -23382, -31650, -40302, -49434, -59142?\nAnswer: -69522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3792 and -29\/5688?\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -15. Let c(p) = 2*p**2 - 2*p + 3*p**h - 5*p**3 - 1 + 2 + 0. Let m = 68 + -66. What is c(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 41. Let k be a(10). Suppose -k = 5*m + 1, 10 = 3*i - 2*m. What is the highest common divisor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/145 + (-12)\/60. Let o = v + 157\/261. Suppose -2*t + 8 = 6*k - 4*k, -4*t - 2*k + 8 = 0. Put t, -4, o in increasing order.\nAnswer: -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*r + 6199 = -2499 - 689 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 3, 3*u + i - 1 = 0. Let v be -28 - (0 + 0 + u). Is (v\/(-16))\/(3\/1164) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -2.9. What is the biggest value in t, -3\/4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 69*t**2 - 8*t + 11. Suppose 29 = 16*b + 125. Is q(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 9*z**2 - 8*z + 7. Suppose 0 = -d + 3 - 2. Let a be d - 9 - 0\/7. Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(192)\/(sqrt(16)\/sqrt(2)))\/(sqrt(36)\/(sqrt(12)\/sqrt(4))))**2 - (sqrt(96)\/((2*sqrt(144))\/sqrt(12)))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/8 - o**3\/6 + 2250*o**2. Let c(m) = -5*m + 0*m + 6*m. Calculate -4*c(u) + r(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.08 (c) -12\/17 (d) 2\/18815\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 15. Let g = 21 + c. Calculate the lowest common multiple of 2\/(-6) - (-170)\/g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 70, 69, 68, 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 1.16. Let g = 0.06 - j. What is the closest to g in -2\/5, 4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 29\/2, 1720, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 14*b**3 - 17508*b**2 + 5478750*b - 3125000 = 0.\nAnswer: 4\/7, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/115827 and -28\/424699?\nAnswer: 1274097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 6. Which is the closest to -0.1? (a) x (b) -3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*o, 3*d - o + 15 - 25 = 0. Solve -2*u = -4*a, 5*a + 6 = d*u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 15. Is 4\/y*(-85)\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -g + 11 = -4. Suppose -g = -b*o + 9. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/(-112) + 4\/14. Let x = -125.47 - -125.07. Put w, -1, 0, x in decreasing order.\nAnswer: 0, w, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-0.3.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 55, 83?\n\"Answer: 28*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5 - (-31 - -14 - -16)) + -20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3708?\nAnswer: 1\/3708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 3056900*z + 12227632.\nAnswer: -2*(z - 1528454)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4 = -z, -6*n + 3*n = -2*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -139, -241, -301, -319, -295, -229, -121?\n\"Answer: 21*c**2 - 165*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 965743688 a multiple of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s**3 - 44*s**2 + 394*s - 1951. Determine a(5).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047394 to four dps.\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a factor of 11884194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -428*o + 5514. Calculate the least common multiple of q(6) and 3.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g - 20. Let h(r) = 8*r - 20. Let z(y) = -3*b(y) + 2*h(y). Let m = 2157 + -2155. Let a(n) = n - 5. Let o(l) = m*z(l) + 9*a(l). Calculate o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7. Let k(w) = -3 + 5 - 1. Let a(l) = -6*k(l) - y(l). Let n(h) = -h**3 + h - 4. Let f(r) = -3*a(r) - n(r). Calculate f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Let s(v) = -v**3 - 10*v**2 - 9*v - 8. Let g be s(-9). Let u be -1 + p + 8\/g. Sort -1, u, 4 in decreasing order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + 3*c**2 + 6*c - 21. Let z(f) = -7*f**3 - 3*f**2 - 7*f + 27. Let s(k) = 5*d(k) + 4*z(k). Let g be 4\/(-3)*3\/2. What is s(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-16) - (0 - 1 - -1). What is the closest to 1 in 1, x, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x + 2*x. Suppose -x = 5*h + 16, 4*f - 32 = 5*h. What is the second derivative of 0*u**3 - u + 2*u + 0*u**f - 2*u**4 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/40 - t**5\/20 + t**4\/8 + t**3\/2 + 26*t**2. Factor z(p).\nAnswer: -3*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 15. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 3*g + 4. Let u(y) = 17*y**2 - 13*y + 16. Suppose 63 = -200*i + 207*i. Give i*o(x) - 2*u(x).\nAnswer: 2*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148 + 1208*a - 647 - 130 with respect to a.\nAnswer: 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*y - 135, 0 = 3*y + 3*g - 64 - 11. Solve -2*a - y = i + 3*i, a = i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 34. Give v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25500 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*a**2 - 17*a**2 - 8*a**2)*(-2 + 8 + 6) in the form v*a + i*a**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -403*j**5\/60 - 401*j**4\/24 + 12*j**2 - 4*j. What is the second derivative of c(d) wrt d?\nAnswer: -806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 10. Give l(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, g: 1, z: 10, v: 2}. Give prob of sequence gbz.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36442 divided by 18221\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/9 + (-2)\/(-2). Let c(f) = 7*f**2 - f - f + f. Is c(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2)*2)**2 + -5) + sqrt(16)\/sqrt(72) + sqrt(32)*4.\nAnswer: 3 + 49*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4523 divided by -15\nAnswer: 4523\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 3*b**2 - b. Let x be o(-2). Suppose -3*j + x*a + 12 = 3*a, -j + 4 = 2*a. What is the closest to -0.1 in 0, j, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, x: 3}. What is prob of sequence xvvx?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 842 and 39559\/47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*s + 33 + 278*s - 140*s.\nAnswer: s + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-66)\/4))\/(14\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2279 + -1671. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133261\/32 + -4165. Find the common denominator of g and -63\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 - -179. Suppose -a*g - 2*f = -12*g - 13, -5*f - 62 = -2*g. What is the remainder when 144 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408 + 522 + 21*o**2 + 8490 + 2352.\nAnswer: 21*o**2 + 9956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from tnnwrnnnrntrttrwrn.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (2 - (-3)\/1). Suppose 0*l = -i*l, o + 3*l - 21923 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6544 + 53*j**3 - 6544.\nAnswer: 53*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000366496693 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 22*i\/3 - 8.\nAnswer: 2*(i - 1)*(i + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 2 (c) 8\/257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 16 = g, 3*n = 6*n - g - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(-1) - (-39 - (-20 - 14558\/522)).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/5)*y))**(-25)\/(y**(2\/5)\/y*y)**(-10\/7))\/((y*(y*y**4)\/y)\/y**(-1))**(1\/25) assuming y is positive.\nAnswer: y**(-1692\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -321022130031?\nAnswer: 321022130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.256 + 2.229. Let p = -0.027 - m. What is the nearest to p in -0.1, 4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997205 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 111334100?\nAnswer: -111334106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99\/324 - (-34)\/(-408)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*w - 210 = 2*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**2)\/z)**(-2\/9)\/(z**(5\/3)*z*z\/(z**(-8\/7)*z)) assuming z is positive.\nAnswer: z**(-226\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128132, 128188, 128244, 128300, 128356, 128412?\n\"Answer: 56*a + 128076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.487606 litres to millilitres.\nAnswer: 487.606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-18)\/(-12) + -1. List the prime factors of -4 - (v + (-256 - -2)).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/23 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.202 to one dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 8*r + 10*r - 4*r**2 + 6*r.\nAnswer: -4*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17\/63 + 2203\/8631. Suppose -3*p + 10 = -3*j - 2, -3*j - p = 0. Is w equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1332936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1302 + 2222310?\nAnswer: 2230212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9228422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 0.0423968716.\nAnswer: -25.9576031284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30800 divided by 2?\nAnswer: -15400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 13, 0 in decreasing order.\nAnswer: 13, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17802, -34797, -51794, -68793, -85794, -102797, -119802?\nAnswer: -136809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4540939 rounded to three dps?\nAnswer: -5.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/21)\/((-3)\/(-42)). Let y = c + 29. Suppose -15 = -2*z - y. Solve -3*h + 2*a - 4 = 0, 3 = -z*h + 4*a - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37736912 and 2336.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.54 - -3. Let n = y - -2.34. What is n rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*r + 279 = 11*r - 693 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) -10793 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103741.7 - 45186640?\nAnswer: -45082898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 198*o + 836. Calculate c(-103).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 377*j + 1 - 4.\nAnswer: 377*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1946\/(-2982) - 2\/(-3). Let t = 413\/923 + s. Determine a so that t*a**3 - 6\/13*a**5 + 2\/13*a**2 + 0*a + 0 - 2\/13*a**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6187*-1504.\nAnswer: 9305248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 27*j - 125 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) + 3) + 2 + sqrt(99) + 4*(-2 + sqrt(176))*3)*-1)**2.\nAnswer: -3404*sqrt(11) + 24645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 - 21*v**2\/2 + 48*v + 8. Suppose 0 = -3*t + 6 + 54. What is the remainder when 193 is divided by y(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 73.18448 and -18.\nAnswer: 55.18448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.33 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, 23, -2\/39, 2 in decreasing order.\nAnswer: 23, 2, 1\/3, -2\/39, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*f + 3*f + 14, 4*f - 3 = -3*v. Let n = v + -3. Let -n*l**5 + 1\/2*l + 3\/2*l**3 + 2*l**4 + 0 - 2*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028275 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 12. Let t = 5.18 + -0.08. Let i = s + t. Which is the second smallest value? (a) i (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10027.25640384 - -10084.2564. Let r = 57 - w. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 + 18)\/((1 - 1) + 6). Let p(a) = 146*a + 1. Let k be p(-1). Let h = -2467\/17 - k. What is the third smallest value in h, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.06 - -7. Let c = g + -0.34. Let u be (-1 - 1)*6\/27. What is the second smallest value in 4, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -4, 33 in descending order.\nAnswer: 33, 11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5533 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205 and -19.068.\nAnswer: 3908.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2154 * -84416.\nAnswer: -181832064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 2.226 (c) -0.4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(-1\/5)*(y**(-1)\/y)**(2\/23))\/(y**(1\/4)\/(y*(y\/(y**3\/y*y))\/y*y*y*y))**35 assuming y is positive.\nAnswer: y**(10983\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x. Suppose -3*u = -x*u - 48. Suppose -5*q = -q - u. Solve 3*o = -5*f + 5, 5*f = 1 + q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13121 + 2321030303?\nAnswer: 2321110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b**2 - 5*b**2 + 6*b**4 - 9*b**4)*(-b + 0*b - b).\nAnswer: 6*b**5 - 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -118 + (-3)\/(-1) + -1. Let t be h\/(-36) + 6\/(-27). Solve l - t = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 + 126 + (-455 - -23)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213036935 to the power of 1\/2, to the nearest integer?\nAnswer: 14596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 4*v**3 - 13*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 19*k + 15. Let w be h(-19). Suppose -6 = -17*j + w*j. Suppose 5*f - 14 = 2*o, 5*o - 2*f = j*f - 5. Solve -o*y + 2 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hssshshsshsshshhhhsh. What is prob of picking 1 s and 2 h?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 46 = -5*p + 336, 80 = p - h. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and (-1)\/(2\/4*2\/(-3))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.73371*1.2\nAnswer: -0.880452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxdxxxxxxxdxxxxx.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119.1 + -118. Is i greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0, -29387, -1\/6, -1.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:18 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r = 23*r + 2155 + 716 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -3*d, 0 = -5*d - 6*t + t - 10. Let q = 2.92 + 0.08. Sort d, q, 5\/4 in decreasing order.\nAnswer: q, 5\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 - 0.4. Sort q, -1\/7, 1\/9, -2\/3 in ascending order.\nAnswer: -2\/3, q, -1\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16022 is divided by 4001?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 22*w + 28. Let q be (441\/42 + -10)*(-15 + 1). Calculate h(q).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*q, -2*s = -2*q + 3*q - 5. Suppose 5*t - 2*j - 1208 = 384, 4*t - 1260 = s*j. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 + 2*c**3\/3 + 2*c**2. What is the remainder when 37 is divided by o(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-2 - -16) + (-5 - -28) + 79).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374156 by 356.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10315 + 10337.051. Let s = -22.1 + x. What is s rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {t: 4, u: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7139*b - 235580. Give k(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*s - s + 366, 218 = -3*s - h. Let u = s - -248. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -269020*s + 1883164. Determine p(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153278, 306627, 460046, 613535, 767094, 920723, 1074422?\n\"Answer: 35*m**2 + 153244*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4581 or 4574?\nAnswer: 4581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.12 and -5?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u)**31 assuming u is positive.\nAnswer: u**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2777, 2793, 2831, 2903, 3021, 3197, 3443, 3771?\n\"Answer: 2*o**3 - o**2 + 5*o + 2771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*f - 44, 0 = 2*s - f + 6*f + 1. Let x = s - -12. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85867.06 decades in years?\nAnswer: 858670.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3)\/(3 + -2). Suppose -8*a = -p*a + 162. Let q = a - -32. Put -3\/2, -3, q in ascending order.\nAnswer: -3, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 18. Let n be o(4). Let j be (12\/(-5))\/(1\/(-5)). Let b be j\/30*(-2)\/n. Is b at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(5445)*-1 + 1 + 3 + sqrt(5445) + 1 + sqrt(5445))**2 + -1.\nAnswer: 726*sqrt(5) + 5565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 2*z**2 + 64*z + 172. Determine x(-6).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:52 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/8, -164, 4, 5 in increasing order.\nAnswer: -164, 1\/8, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 + -217. Let a be (22\/3)\/(y + (-39)\/(-18)). Calculate the greatest common factor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + (sqrt(99) - (-2 + sqrt(99)*2)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 802\/9 + -89. Sort 2\/7, j, 3, 0.\nAnswer: 0, j, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10983 is divided by 3498.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**4 - 16*t**2 - 5*t + 5. Let g(c) = 9*c**4 + 24*c**2 + 8*c - 8. Let j(p) = 8*d(p) + 5*g(p). What is the third derivative of j(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7602 - 154.3973\nAnswer: -7756.3973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-8)*-38138*140\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 719*m - 5. Let z(g) = -12*g**2 - 8*g. Determine a(z(t)).\nAnswer: -8628*t**2 - 5752*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 471\/(-1) + 3 - 6\/2. Let s = 473 + o. Solve 0*c = 2*m - 4*c + s, -2*c = m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h - 1198 - 505 = -174 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 478512 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0713959228 to 3 dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8691736?\nAnswer: 2, 419, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:26 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2138\/(-6))\/((-40)\/(-12000)). Round z to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115\/12 - 37\/4. Let q(x) = -x**2 + 12*x - 15. Let g be q(11). Let t be 2 + -5 + g + 4. What is the third smallest value in t, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/12)\/(2\/(-3)). Solve 7 = 4*x + j*f, -16 = x + f - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(18)\/sqrt(2))*4.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 221620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21432125 and 68016.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 29 + 8 - f to o*f + n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c + 20*c + 6392. Is (c\/(-17))\/(-2 + (1 - 0)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -2\/3, 3.\nAnswer: -4, -2\/3, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*l = 26, -5*l - 26 + 10 = -d. Suppose -d*u = -19 + 13. What is the greatest common factor of u and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 = -35. Let x(v) = 2 + 15 - 3*v**3 - 6*v**2 - 4 + 2*v**3. What are the prime factors of x(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 5483\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, g: 1, a: 1, j: 1, r: 2}. Give prob of sequence jr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*p + 114 = 5991 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -375a - 4538?\nAnswer: -8197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*y = 22, -28*a - 4*y + 0*y = -5*y - y - 48 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 + 200.000000157. What is g rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 19*t**2\/2 + 36*t + 29. Let l(q) = -19*q - 35. Let w(f) = 7*c(f) + 6*l(f). Differentiate w(y) with respect to y.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z*z\/z**(1\/2)*z))\/z)**(-19\/5))**(-3\/23) assuming z is positive.\nAnswer: z**(-57\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 8 = 2*p, p = 5*o - 8. Let b(v) = v + 4*v - 4*v - 48*v**o + 49*v**2. Let r(h) = -2*h**2 - 3*h - 2. What is b(g) + r(g)?\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 29956*y + 119708. Calculate a(-4).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 33211030013?\nAnswer: -33211030023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 2*r - 0*l, 0 = -2*r - l - 2. Let t be (-254)\/(-2)*(-1 + r). Let u = 196 + t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541524 divided by -1.\nAnswer: -541524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 11\/3 - (-1)\/3. Let q(x) = -5*x - 3. Let i(z) = 5*z + 2. What is f*q(k) - 3*i(k)?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-112))\/(3\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*p + 5 = 0, v - 5*p + 19 = -0*v. Let n(m) = 105*m. Is 17 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*l - 77*l = -70*l - 489540. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -71482.\nAnswer: 9\/71482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/6*q**3 - 1\/8*q**2 + 0*q + 2 - 1\/16*q**4. Factor z(y).\nAnswer: -y*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 6. Let u be 7056\/33 + 4\/22. Let h = u + -208. Determine y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 12. Let i = h - 12. Let d be (-200)\/(-24) + i\/(-3). Solve -k = k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5*2)\/(-6*(-7)\/315)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -654, -4\/5, 4.\nAnswer: -654, -4\/5, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -81 + 75. Let l = 2827 - 2827. Solve -8*p - 18 - g = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 38 + 5 = 0. Let r be (-6)\/(-33) + 324\/h. Let n(x) = x**2 - 8*x + 6. List the prime factors of n(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1431200 (base 7) to base 2\nAnswer: -101111000000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 42414100?\nAnswer: -42414055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omvvy. What is prob of sequence mo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 469 + 107. Let y be l*(0 + 7\/14). Solve -q = -h + 4*h + y, q = -2*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab (base 16) to base 12\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113, -404, -1013, -2078, -3737, -6128, -9389, -13658?\n\"Answer: -23*c**3 - 21*c**2 - 67*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 52 + 28 = 0. Let n(g) be the second derivative of 0 - 2*g - 1\/3*g**3 + 0*g**2 - 1\/3*g**4 - 1\/10*g**b. Suppose n(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2833 or 3?\nAnswer: -2833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3775, 7557, 11331, 15091, 18831?\nAnswer: 22545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -15, -77, -193, -381, -659?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4346216 (base 7) to base 16\nAnswer: -82136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -4, -0.9, 0.04?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72532 is divided by 3817.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, -656, -653, -648, -641?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010033 (base 4) in base 13?\nAnswer: 5941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - -3) + -4)\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*c**2*s**2 - 1010*c**2*s + c*s**2 + 66*c*s - 10799 wrt c.\nAnswer: 156*s**2 - 2020*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -3*j**4\/2 + j**3 - 1715*j**2. Let l(z) = z - 1. Calculate 6*l(f) + v(f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.67091315083426 - 0\nAnswer: 3.67091315083426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (77 + -82 - (-6 - -1)) + (-1 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 6*j**2 - 6*j - 7. Let k be x(-5). Is 11 a factor of (7 - k)\/(9\/132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-2 + (-2 - -1). Let c(f) = f**3 + 3*f**2 + f + 4. Let h be c(q). What is the units digit of 10*2*h\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 7*q - 1. Suppose 0 = -2*r - 0 + 2, 5*a - 5*r = 0. Suppose -3*g + 9 = k, k + 2*g = 4*g - a. Suppose -k*b + 5 = -2*b. Calculate z(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 15*b - 71. Let k = 7 + -6. Let g = k - 0. What is the second smallest value in b, g, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.549 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 475 = -2*y + 60*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 + 298\/14. Let s be (4\/10)\/((-2536)\/(-280) + -9). Suppose s*l - b = 6*l. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 507\/11, 1\/4, -80.\nAnswer: -80, 1\/4, 5, 507\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t + 67. Is 29 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l**2\/l*l)\/l*l))*(l*l**7)\/l*(l\/(l\/l**(-1)*l))**(-33))**(-42) assuming l is positive.\nAnswer: l**(-3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/35)\/j*j*j*j\/(j**(-9)*j)*j*j**(1\/4)*j*j*j**(-1\/5))**19 assuming j is positive.\nAnswer: j**(7505\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 8 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -29*h**7\/5040 - h**6\/720 - h**5\/60 - 6*h**2. Let p(b) be the third derivative of c(b). Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 12. What is the remainder when 129 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(9\/5)\/(l*l**(-1))**(-35) assuming l is positive.\nAnswer: l**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o - 4 = -135*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010001111101010001100 (base 2) to base 11.\nAnswer: -5081642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -1.22, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 6*x**2 - x + 7. Let r be j(6). Suppose -11 = 4*y + r. Let g(n) = -n. Let w be g(y). Solve 7*q = w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4223 and 738.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 3*sqrt(7)*2) + -2 + 1.\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + -3 + 5 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + (-44 - -69) + (-1 - -2 - 55)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 29*a - 55. Suppose -5*k = -2*j + 39, 0*j + k = 2*j - 19. Let u be n(j). Let w = u - -465. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2561 + 2561 + 46*x)*(2 - 2 + 4*x).\nAnswer: 184*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ililniiyinyliiii. What is prob of sequence iill?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.0664515+275\nAnswer: 276.0664515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (32 + -89 - -26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(sqrt(704) - (sqrt(704) + 3)) - sqrt(704)) + 1*sqrt(704)*2)**2.\nAnswer: -64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 88, 1, -674?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/11)*p*p\/p**(-1\/3))**(-29) assuming p is positive.\nAnswer: p**(-2494\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 854507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-3)*(-7)\/((-21)\/(-9)). Let d(v) = -3*v + 1. Calculate d(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*i + 45 = -130*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72230\/9, 7, 34?\nAnswer: 72230\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:16 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/100 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, -244, -738, -1698, -3280, -5640, -8934, -13318?\n\"Answer: -26*c**3 + c**2 - 5*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 3.2461.\nAnswer: 4.21993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - 3. Let c be r(-3). Let a be (462\/(-15))\/((-3)\/c). What is the tens digit of a\/10 + (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2816 and -80\/30393?\nAnswer: 7780608","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/2)\/((-342)\/152*(-56)\/(-21))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471860 (base 10) to base 8.\nAnswer: 1631464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402868 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from wwwwwrwwwwrwwwwwrw?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 6. Let a be n(-14). Suppose -2 = -4*f + 2*l - 204, 4*l - 4 = 0. Let i = a - f. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-33)*2013\/48312.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 + (-4 - -6))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**3 + 123*v**2 + 198.\nAnswer: 3*v**2 + 246*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2005, -2017, -2039, -2077, -2137, -2225, -2347, -2509?\n\"Answer: -j**3 + j**2 - 8*j - 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -0*m + m. What is the highest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 127. Suppose 45 - 133 = -o*j. Suppose -y - j = -2*y. Solve -4*z - 1 - y = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**6 + 0*y**4 + 0*y - 8*y**2 + 0 + 1\/30*y**5 + 0*y**3 + 1\/16*y**8 + 0*y**7. What is the third derivative of b(z) wrt z?\nAnswer: 1260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdmsmwdwo. Give prob of picking 2 w, 1 o, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246884033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 128. Give l(37).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**6\/24 - 4*i**3 - 3*i**2. Find the first derivative of h(y) wrt y.\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(((-4)\/24)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*i**2 + 62*i - 4.\nAnswer: -2*(i - 1)*(29*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 2*w - 2*w**2 + w - w + w**3 + 213. What are the prime factors of j(0)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/6 - y**3 + 8*y**2. What is the derivative of s(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)*q**(-3))\/(q**(-3\/8)\/q**(-4\/9)))\/(q*q\/(q*q**3*q)*q*q**(6\/11)\/q)**(2\/5) assuming q is positive.\nAnswer: q**(-7277\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-2)*c*c*c*c**(-3\/17) assuming c is positive.\nAnswer: c**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17640, 70428, 158408, 281580, 439944?\n\"Answer: 17596*j**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 9, n: 1, e: 2, v: 2}. Give prob of sequence nevd.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c*c*c*(c*c*c\/(c*c**(-1\/3))*c)\/c)**(-1\/13) assuming c is positive.\nAnswer: c**(-31\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 - o**4\/8 + 25*o**3\/6 - 41*o**2. List the prime factors of k(16).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4615757 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4538669\/170 - -231070\/17. Let l = 13118 + z. Calculate the common denominator of l and 23\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(22 + 0 - (-19184)\/(-880))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(2\/33))))**(3\/38)*(f**(-14))**(7\/5))**14 assuming f is positive.\nAnswer: f**(-285523\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16817903.\nAnswer: 31, 113, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**35)\/n**(-1\/6) assuming n is positive.\nAnswer: n**(-197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354100 divided by -6.\nAnswer: -177050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3357376, -6714742, -10072104, -13429462, -16786816, -20144166, -23501512?\nAnswer: -26858854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-155)\/25 - (-2)\/10. Let l = t + 10. Let r be l\/(-6) + (-32)\/(-12). Is 1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87397685 bigger than 87397685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-21))\/(17175\/(-1603)). Let i be (-4)\/(-10) - 64\/110. Which is the nearest to -0.1? (a) u (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2740 and 36?\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143102676.\nAnswer: 2, 3, 317, 37619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071106047 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10899, -10896, -10893, -10890, -10887?\nAnswer: -10884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*w**3 - 91*g**2 + 1427*w**3 wrt g?\nAnswer: -6*g*w**3 - 182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -275 divided by -3504\nAnswer: 275\/3504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13 - 2*f + 4 - 24. Let s be h(-5). Suppose s*w - 139 = -2*b + 13, 380 = 5*b - 4*w. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5 - 1193*x**4 + 1198*x**3 + 4772*x**2 - 4776*x = 0.\nAnswer: -1194, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -183*m + 2. Let d(i) = 914*i - 11. What is -2*d(b) - 11*k(b)?\nAnswer: 185*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009788755 rounded to seven decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 91?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 5*n - 44. What is the smallest common multiple of n and (366\/(-27) - -14)\/(36\/486)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/180 + k**5\/45 + 3*k**2. Suppose x(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 5*u**4 + 0*u**4)*(-4*u + 4*u + u) + 1256*u**5 + 1179*u**5 - 2582*u**5 + 0*u**5 - u**5 - u**5.\nAnswer: -152*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067446072 to the nearest integer?\nAnswer: 32672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2150 (base 8) to base 13.\nAnswer: -68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.11 (b) 16925 (c) 6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-27))\/((-1)\/(-9)). Let u be 15\/(-20) - 39\/(-4). Solve x - n = 4*x + 4*s, 3*x + u = -2*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1626*q**3 - 2*q**2 - 11*q + 14. List the prime factors of i(1).\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 3*h + 0*h + 11 + 2*h.\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 8. Let d be o(-5). Let m = 1 - d. Let x = 0.2 + -1.2. Which is the smallest value? (a) 0.5 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7016 by -328.\nAnswer: -877\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13174782713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 + s**2)*(2 - 4 - 1).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7*a**2 + (14*a - 2*a - 3*a)*(1 - 1 - 5*a) - 5*a**2 - a**2 + 4*a**2)*(3*a - 3*a - a).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*w = -9, -548 + 1097 = 4*b + 2*w + 537 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let g(k) = 11. Let s(o) = g(o) + 4*t(o). Let x(v) = -4*v + 52. Let m be x(13). Does 11 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380420228 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 2. What is h(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.99999999 - -12. What is l rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 158056, 315096, 471116, 626116, 780096, 933056?\n\"Answer: -510*s**2 + 158570*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 1462*o**2 - 1465*o**2 + 2*o - 7 + (-o + 0*o - o)*(o + 2*o - o).\nAnswer: -7*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = 8*k. Solve 0*r = -2*a - k*r + 6, -a + 4*r = 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.6 and -307329807.\nAnswer: -307329793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 + 1. Let q be v(9). Let j be ((-15)\/(-6) - q)*2. Suppose 0 = 4*f + k - 2*k - 32001, 7997 = f + j*k. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 230*v**2 - 655*v - 430 = 0.\nAnswer: -43, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1\/3, -11, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -798204.2 - -798237.20029. Let b = 0.075 + -33.075. Let u = s + b. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713113 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42919 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (0 + 6\/9)*-3. Let y be (6\/9*g)\/((-1)\/2). What is the greatest common factor of y and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 5*s - 5. Let v be q(-4). Suppose u - 26 + 34 = 0. Let j be (0 - -1)*-4*10\/u. Which is the closest to v? (a) -1\/3 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/31 - (34 + 5211\/(-153) - (-36)\/34)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4053 + 158 + 1710)*(2 - 2 + 2*c).\nAnswer: -4370*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q + 14. Let v(h) = 3*h. Give 3*v(l) - w(l).\nAnswer: 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319179858*x**2 + 273755478*x.\nAnswer: -638359716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 - -216. Which is the second biggest value? (a) -7 (b) m (c) 165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644980484.\nAnswer: 2, 161245121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 35*k**2 + 3. Let y(c) = -c + 24. Give y(w(b)).\nAnswer: -35*b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1000772 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 4. Suppose 0*n + 6 = -2*n. Let a be v(n). Let j be 96\/2 + (a - 5). What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51941 + 68059. Let i be q*((-4)\/(-10) + (-3776)\/(-60)). Round i to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 35*h - 117. Determine r(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4461*g - 23994 = -2380*g - 2360*g for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*(sqrt(567) + 3 + sqrt(567)))*6)**2*5.\nAnswer: 336960*sqrt(7) + 6562260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7755*o + 5239*o - 1178*o to h + n*o and give n.\nAnswer: 11816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 12*n + 72 = 3*g, g - 108 = 5*n. Put -3, -0.06, n in descending order.\nAnswer: -0.06, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 10*t - 33 + 3*t**3 + 7*t**2 + 31 + 6*t. Let a(s) = -6*s**3 - 9*s**2 - 18*s + 2. Let p(j) = -6*a(j) - 7*y(j). Calculate p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(-1\/4)\/d))**(-3\/44))**(-1\/25) assuming d is positive.\nAnswer: d**(39\/4400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/24 - 7*r**3\/6 - 3*r**2. Let f be u(-9). Sort -4, f, 6 in increasing order.\nAnswer: -4, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105\/8 in 0, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 1, e: 3, h: 6, d: 2}. What is prob of sequence ddj?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*w**3 - 651414*w**2 - 385443*w + 21 wrt w.\nAnswer: 684*w - 1302828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 28*u - 74. Let f = 13978 - 14003. Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + n**2 - 2*n**2 - 2*n. Let w be h(-1). Suppose 3*p - 2 - 1 = w. Let l(c) = -2*c**3 - 2*c**2 + 1. What is l(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1)\/(-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 141.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30433029511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -q + 3, 458*q = 462*q - 35*y + 300 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k - 2*k - 5*k + 14*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 230.\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*m = -2*t, -t = -m. Let y(r) = r - 14. Let k be y(11). Let p be 2*3\/(k - -9) - 2. Which is the third biggest value? (a) p (b) t (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/3)\/(135\/162*14\/1435))\/1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3849, 8255, 15607, 25911, 39173, 55399, 74595, 96767?\nAnswer: 121921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:41 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 4.6 (c) -4 (d) 2\/13 (e) 8.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 11*o + 30. Let v be l(-5). Suppose 19 = 4*d - 85. Let g be 4\/d + (-108)\/195. Which is the second biggest value? (a) 5 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014054500 rounded to the nearest 1000000?\nAnswer: -3014000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9816 and 19\/144?\nAnswer: 58896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26355 is divided by 2367?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 1 - (2000 - 2012)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -23, -32, -41, -50?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.63, -557 in increasing order.\nAnswer: -557, -3, -0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5531 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.85 + -3.973. Let d = r + 0.623. What is the closest to -1 in d, 0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057426 rounded to four dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8062 = -1798*r + 1800*r. List the prime factors of r.\nAnswer: 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 150. Is 31 a factor of (-2460)\/l - (-2)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*b**4\/3 - 5*b**3 - 2290*b**2\/3 + 20*b + 200\/3 = 0. What is b?\nAnswer: -2, -2\/7, 5\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let a be ((-40)\/(-32))\/(1\/(-4)). Put a, m, -6 in ascending order.\nAnswer: -6, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -819, -3, -2, -4 in descending order.\nAnswer: 3, -2, -3, -4, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40618 is divided by 4061.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-54)*-3*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 3. Let p(f) = -f - 1. Calculate 2*i(j) + 10*p(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501690 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284248265.\nAnswer: 5, 7, 19, 227, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2300.8917*1.\nAnswer: 2300.8917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(38 - 31 + x**3 - 2*x**3).\nAnswer: -x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**3 + 27\/5*r**5 + 0*r**2 - 1\/2*r**6 + 0*r + 132 - 6*r**4. Factor b(q).\nAnswer: -3*q**3*(q - 8)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 25. Let n = r + -25. Suppose 0 = -2*m - 3*g + 149, -3*m - 2*g + 191 = -n*g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n - 1. Let h = -25 - -32. Suppose -h*c - 14 = -0*c. Calculate p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djvddxjvjdv. Give prob of sequence vdv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -539*o**5\/60 - 5*o**4\/24 + 4*o**3\/3 - 36*o**2. Find the second derivative of d(z) wrt z.\nAnswer: -1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j = 6. Suppose 72 = j*w - 4*w. Suppose -4*t = 2*t - 72. What is the highest common factor of t and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 8*n + 30. Let x(i) = -2*i**2 + 4*i + 16. Calculate 4*f(w) - 9*x(w).\nAnswer: -2*w**2 - 4*w - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/12*70\/(-25). Calculate the greatest common factor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560a25 (base 11) in base 12?\nAnswer: -371682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from uuuyyuuuuuuuyyyjjy?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojojojojjjjojwjojjjo. Give prob of picking 2 o.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 5*w + 3*w + (-26 - 2 - 14)*(-21 + 2*w + 21) - 3*w + 3*w - w in the form g*w + t and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 1254*a\/7 - 96048\/7.\nAnswer: 2*(a - 696)*(a + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 + v + 5. Let l be j(-5). Suppose l = -z + 5*t + 26, 2*z = -0*z - 5*t + 67. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273964081 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -445492398 divided by -34268646?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 441\/331?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*f = -494, -3*v - 59 = -2*f - 573. Find the common denominator of v\/(-15) + -1 - 0 and -121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10120010 (base 3) to base 14\nAnswer: -d35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181.871 + -181.8. Which is the second biggest value? (a) 5 (b) 0.3 (c) x (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36856 + 64428. What are the prime factors of q?\nAnswer: 2, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.23856494 to 2 decimal places.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -31, -80, -131, -184, -239, -296?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i + 27*i - 3*i**4 - i**4 + 2 + 5*i**4 - i**2 to j*i**2 + q*i**3 + s + o*i**4 + r*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 7*r - 69. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.086.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.58 - -0.18. Let h = j + 1.92. Let q = h + -0.19. What is q rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m + 560. Let l = 22 + m. Let h = l - -203. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 + 2*a - 15. Let r = 17 - 22. Let i be t(r). Suppose 2*n + 3*p - 173 = i, -1 = 2*p - 3. Is n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29564.9 milligrams to nanograms.\nAnswer: 29564900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -21)*5\/(-30) - -14401 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = -5*s, -s = -d + 3*s. Let y be 4\/(-3*d\/6). Let z = 305 + -306. Which is the smallest value? (a) z (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 4*a)*(-1 + 2 - 2)*(1 + 4 - 3) + (0 - 2 + 3)*(-2 + 2 - a) - a - 1 + 1 - 3 + 3 - 4*a in the form t + d*a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**4 - 5*w**3*x + 2*w**3 - 4*w**2*x + 4*w*x wrt w?\nAnswer: 96*w - 30*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 52 + 1 + -1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261678365, -261678364, -261678363, -261678362, -261678361, -261678360?\nAnswer: -261678359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -700?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 139 = -3*r, 4*t - 164 = 5*r - r. Calculate the common denominator of 101\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.63 (b) 1\/4 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*w + 51*w - 15. Let q be (0 + -2)\/((-2)\/3). Suppose -3*b + 4 = -4*y, 3*b - q - 5 = 2*y. Solve s - b*d = -w, -s - 4*s - 15 = -d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 5*c + 3*c**2 - 1132 + 2260 - 1129 as u*c**2 + f + l*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2\/5 + 9954*y\/5 - 138768\/5 = 0.\nAnswer: 14, 3304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*z + 62 = 70, 20 = 2*h + z. Put h, 0, -11, 5 in descending order.\nAnswer: h, 5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p - 54*p - 5*l = 2162, 0 = -4*p + 5*l + 8603. Is p a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 + 6)) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3516 = 5*t + 3487, 7*t - 43 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dbd14 (base 14) to base 15.\nAnswer: -162072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9))**(3\/22))**(12\/13))**(-25) assuming p is positive.\nAnswer: p**(4050\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 304. Suppose -5*u + 31 + l = 0. Does 37 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5\/3, -4, -5 in ascending order.\nAnswer: -5, -4, 0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:23 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/3)\/v)\/v**(-8))**(-17))**(3\/40) assuming v is positive.\nAnswer: v**(-323\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 33\/(-21))*7\/(-2). Let v(c) be the second derivative of -55*c**3\/6 - 13*c**2\/2 - c. What is the units digit of v(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2381477*b**3 + 4762957*b**3 - 1 - 2381481*b**3 - 61*b.\nAnswer: -b**3 - 61*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**26)**(-2\/13)\/(((m*m**(3\/8))\/m*m*m**(-1\/3)\/m)\/((m*m**(-6))\/(m*m*m*m**(-5)*m*m))) assuming m is positive.\nAnswer: m**(-313\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 30.1. Let o be (2\/28)\/((-3)\/(-12)). What is the closest to f in 0, o, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/381042 and -59\/138064218.\nAnswer: 414192654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136012.\nAnswer: 2, 37, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfppybpbpssyrby. Give prob of picking 2 b and 2 p.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s + 2. Let f be j(-4). List the prime factors of (-3 - f)\/((-3)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -968*f**5 + 25630*f**4 - 84322*f**3 + 51344*f**2 - 8736*f = 0.\nAnswer: 0, 4\/11, 3, 91\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19)\/((v*v**(2\/69))\/v) assuming v is positive.\nAnswer: v**(-1313\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i + 0 + 1\/2*i**3 + 3*i**2 - 1\/4*i**4. Let n(t) = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cve when three letters picked without replacement from {d: 2, v: 1, z: 1, w: 1, e: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqxxqxbbbxq. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14792387 divided by -1.\nAnswer: -14792387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:56 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3025)*-5)\/(sqrt(45) + (sqrt(90) + sqrt(90) + 1*sqrt(90) + sqrt(90) + sqrt(90))\/sqrt(2)).\nAnswer: -55*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-585)*-210)\/(3*(-4)\/36)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1025 + -74431?\nAnswer: -75456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 2. Let j(b) = -20 + b + 19 + 0*b. Determine 6*j(p) - 3*t(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 64\/30)*-3. Let j = -5 - -8. Suppose -2*o - 5*p = 19, 13 = -j*o + 4*o - 2*p. Sort -2\/11, o, q in descending order.\nAnswer: o, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 16\/5 (b) -5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/21 + (-22)\/(-6). Suppose -m*u + 161 + 70 = 0. Suppose 0 = 4*q - 3 - u. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891430 divided by -111.\nAnswer: -891430\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 30. Let a(z) be the third derivative of 0*z + 0*z**3 + r - 1\/60*z**5 - 4*z**2 + 0*z**4. Calculate a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2443869ml in litres?\nAnswer: 0.0002443869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69c60 + -b?\nAnswer: -69c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65256?\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/4 (b) -2 (c) 1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-385))\/(((-48)\/(-14))\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 42. Solve 4*r = 2*u + 14, 4 + 11 = -g*r - 4*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 1. Let k(n) = -1. Let j = 14 - 20. Let m be 1\/3 - j\/9. Let d(f) = m*x(f) + 6*k(f). Give d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/12)\/(4\/(-16)). Let i be 1\/p + 1\/(-6)*2. Is -2 - ((-1 - 2) + i + -528) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:20 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.81 + -20.19. Let i = 20.9 + u. Let t be 2 - ((-50)\/(-8) + -4). What is the closest to i in -0.3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/13930 and -79\/398.\nAnswer: 13930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 33*f**2 - 65*f + 75. What is m(35)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 2*b + 365. Calculate the remainder when p(10) is divided by 270.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 44*x**2 + 432*x + 376. Calculate z(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -21, -1, 0 in ascending order.\nAnswer: -21, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5450 and 7725920.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/11 + 16*a**3\/11 - 2*a**2 - 64*a\/11 + 120\/11 = 0. Calculate a.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 112 + 15 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136546 - -37?\nAnswer: 136583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007717 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/(-2) + 1)*(-1320)\/825. Which is smaller: d or -88\/7?\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:52 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2076 + -0.207600138. Round x to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20*j**2 - 2*j + 6. Let b(z) = -5*z + 67. Let q be b(13). Let a be m(q). Let k = -52 - a. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 655120, 2621849, 5899730, 10488763?\n\"Answer: 655576*f**2 + f - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 11:05 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r**4 - 34*r**4 + 739*r**2 - 294*r**2 + (0*r - 5*r + 3*r)*(-5*r**3 + 0*r**3 + 2*r**3 + 2*r) in the form k*r**4 + n*r + u*r**3 + y + b*r**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.01 + -4. What is the smallest value in 0, -2, z, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)*(-1)\/(-6)*14. Suppose -26 = -y*c + 2. Let d(f) = f**3 + f**2 - 2*f + 2. Is 20 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + (-2 - 3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 185 = -3*p, w - 37 = -0*w - 5*p. Suppose -3*i = 2*d - w, -2*i + 23 = i - 5*d. Calculate the lowest common multiple of 5 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - c + 5 = -12 + 15, 136*v + 13*c - 179 = 137*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475538621.\nAnswer: 47, 191, 52973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42869838 and 4840143.\nAnswer: 300088866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64466531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, -3.73, -3\/8, 1\/5 in decreasing order.\nAnswer: 21, 3, 1\/5, -3\/8, -3.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15384.465 months in decades?\nAnswer: 128.203875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 490, 1418, 3022, 5464, 8906, 13510, 19438?\nAnswer: 26852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45554347939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -222?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2437\/450 - 184\/25. What is the common denominator of (-2)\/8 - 145\/200*5 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2866 + 4405. Is 57 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 58 - -1) + -4. Let v = -20 - x. Is v a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000169000681 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 156 = 0. Suppose 2*d - 25 = 3. Let b = d + i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c**6)*c**4\/c*(c**(1\/4))**(2\/27))\/(c**(-2)*c\/(c**4\/c*c)*c*c**1*c\/c**0) assuming c is positive.\nAnswer: c**(-53\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4359590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7433, -7015, -6597, -6179, -5761?\nAnswer: -5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from ggiii?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 3710.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -3. Find the second derivative of -19*o**3 + 3*o + 0*o**2 + 0*o**2 + 13*o**j wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {e: 5, q: 2, w: 5, j: 1, k: 5}?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzsscztczwzv. Give prob of sequence tzzz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.105 - -0.605. Let m = 13 + -9. Let d = 48\/13 - 554\/143. Which is the nearest to m? (a) d (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g**3 - 2*g**2 - 4*g + 52. Let c(x) = x**4 + 37*x**3 - 5*x**2 - 9*x + 106. Let h(d) = -2*c(d) + 5*o(d). Find the second derivative of h(w) wrt w.\nAnswer: -24*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -144, -134, -124?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14402 - 13802.7. Let j = w + -597. Is 0.8 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2430 divide 2083231710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 12 - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 711399 or 2134195\/3?\nAnswer: 2134195\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/15 - 0 - (-1)\/(-5). Let u be -1 - (5 - 2) - 11. Let g be 3 + (-3)\/u + -3 + 1. Is g < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5555 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1784 + -1780. Which is the nearest to 1.2? (a) -0.5 (b) g (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 57*v**2 + 28*v + 2. Suppose -84 = 166*a - 163*a. Let l be u(a). Solve -r + 9 = -l*i, 14 + 2 = -4*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 26527468 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 6*(sqrt(468) - (sqrt(468) + 2 + sqrt(468))**2) + 1 + (-5 + 2*((sqrt(468) - (sqrt(468) + -2)) + sqrt(468)))**2.\nAnswer: -9382 - 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7339 or 7272?\nAnswer: 7339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + a**2 - 3*a**2)*(-4 + 4 - 2) + 191 - 191 - 23*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.43849 rounded to two dps?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135674 less than -87222?\nAnswer: -87221.9864326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 2, j: 4, v: 3}. Give prob of sequence jvdv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3020?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -193, -5, -18 in descending order.\nAnswer: 3, -5, -18, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816928 divided by 4.\nAnswer: 204232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 15*l**2 + 15*l + 23. Suppose 11*u = 93 + 83. Let v be h(u). Solve 4*p = 2*p + 2*f - 16, 4*p + v = -f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167169991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + -0.1. Let q = 1.9 + -2.3. What is the nearest to 2\/9 in -1\/3, y, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*j + 5353 + 2459 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21336*n**3 - 43984*n**3 + 22678*n**3.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.2, 0.91 in descending order.\nAnswer: 0.91, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*i**2 - 2*d**3*n + d**2*i**2*n + d*i*n + 8*d*n - 672*i**2*n + 3*i wrt i.\nAnswer: 2*d**3 + 2*d**2*n - 1344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*r**6 - 3*r**3 + 74*r**2 wrt r?\nAnswer: 11520*r**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3*n**6\/320 + 7*n**5\/40 - 9*n**4\/64 + 61*n**2. Solve u(i) = 0 for i.\nAnswer: 0, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -15*w + 19*w. Solve -4*m + 5 = m + w*g, 5*m = -3*g + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(7503\/(-427))*(-72)\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c**2 + 0*c + (-3*c - c + c)*(3*c - 2*c + 2*c) + (0*c + 0*c - c)*(c - 2*c + 2*c) - 4*c**2 + 3*c**2 - c**2 - 5*c**2 - 4*c**2 + 0*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*y + 9*y - 48 = 0, 5*y = -4*t + 52. Let o be (-3)\/(-44) + (-2)\/t. Let a = -5 + 0. What is the biggest value in a, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, v: 3, m: 9}. Give prob of picking 2 p, 1 m, and 1 v.\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 31. Let q be j(-13). Let g be 710\/6 + (-3 - 48\/q). Let y = g + -71. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - (sqrt(1500) - (sqrt(1500) - (sqrt(1500) - (sqrt(1500) - ((sqrt(1500) - sqrt(1500)*2) + sqrt(1500)))*3))))\/(sqrt(45)\/(sqrt(36)*4)).\nAnswer: 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346408 is divided by 1860?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 558 + 363. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2337000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-27))\/(17\/289) and -32\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:19 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7. Let d(b) = 645*b + 735. Give -3*d(u) + 315*o(u).\nAnswer: -1935*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 37250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3*r)*(0 + 3 - 1)*(-3*r + 5*r - 4*r) - 2*r**2 - r**2 + 0*r**2 + (-r + 2*r - 2*r)*(-2 + 2 - 2*r) to q + b*r + j*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4))\/sqrt(2)*6.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*j. Suppose 5269 + 17483 = j*h. Let d = -75947\/10 + h. What is the common denominator of d and -61\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7696)\/(-48100))\/((-10)\/(-25)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1463769, 1463832, 1463881, 1463910, 1463913, 1463884, 1463817, 1463706?\n\"Answer: -u**3 - u**2 + 73*u + 1463698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, 4\/17, 13, 1735, 5 in decreasing order.\nAnswer: 1735, 13, 5, 4\/17, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 48*j - 458. What is the remainder when p(22) is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2. Let a be n(2). Suppose a*g = g. Suppose g = -q + 4*x - x + 36, 4*q - 160 = 4*x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + 0. Suppose 0 = -5*j - 25, -2*j - 16 + 11 = 5*x. Let m = -32 - -30. What is the second biggest value in m, -1, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 34660 + 8378 = 0. List the prime factors of h.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. Suppose w - 5*w + 76 = o. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 214.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q. Let x be p(-4). Suppose 3*k + 4 = 7. Let v = k - x. Calculate the remainder when 13 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(2\/25)\/(b*b**(-4\/3)*(b*b*(b\/b**(-1\/11))\/b)\/b))\/((b**(-1)*b)**(-24\/13)*(b*b*b**3)\/b**(-2\/17)) assuming b is positive.\nAnswer: b**(-81278\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((160 + 118 - 47)*(0 + 1 - 3) - 3 - 1 + 2)*(-1 - i**3 + 1).\nAnswer: 464*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2. Let h(a) = 10093243*a**2. Give h(v(n)).\nAnswer: 252331075*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 262752 divided by -65688\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 8*l**2 + 6*l + 8. Let t be 36\/5 + (-1)\/5. Let h be u(t). Let a(w) be the third derivative of 7*w**5\/60 + w**4\/24 - w**3\/6 + 2*w**2. Give a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10542 - 1204?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g + 5. Which is the fourth biggest value? (a) -10\/7 (b) -0.5 (c) 0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2020802 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -135, -92, -23, 78?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*(-5 + 8). Let h be (-2 - p)*(-15)\/3. Factor -4*a**3 + 8*a - 6*a - a**h + 3*a**5.\nAnswer: 2*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8 and -51\/4055?\nAnswer: 32440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(2272\/(-2072)) + 2. Are q and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2*b - 2. Let t be r(-3). Let p = t - -37. Let i(d) = 5*d**2 + 7*d - 4. Let q be i(-3). Calculate the highest common factor of p and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(sqrt(77)*2 - sqrt(77) - sqrt(77))\/sqrt(11) - ((sqrt(7) + 1)*-2 - (sqrt(7) + sqrt(168)\/sqrt(6)))))**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 23990 and 30885 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60084037 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449420 and 98049?\nAnswer: 4263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 = -4*l, 5*l + 4*i = 4*l + 34. Suppose l = 4*o + 2. Suppose u = -2*p + o*u + 14, -2*p - 3*u + 24 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166957?\nAnswer: 7, 17, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 10. Let g = 8 - 3. What is the remainder when g is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 + 3*p - 7. Give d(-9).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w - 3*w**2 - 3 - 12*w + 4*w**2 + 0*w**2. Let o be q(4). Solve -4*m = -o + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 101*o**3\/3 - 7608*o. Let j(r) = -6*r**2 + 2*r**2 + 2*r**2. Give g(j(q)).\nAnswer: -404*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 5, e: 2, y: 3}. Give prob of picking 2 d and 1 l.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*3*(sqrt(704) - (sqrt(704) + 2)))**2*-6.\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6193*r + 12674*r + 12675*r - 8095*r in the form u*r + w and give u.\nAnswer: 23447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 + -1 + 1)\/((-3)\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab5a (base 15) to base 11.\nAnswer: -5a352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -4 (b) 4 (c) -2 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/23 + 8925672*t**2\/23.\nAnswer: -2*t**2*(t - 4462836)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 2*l - 5. Let a(d) = -d + 1. Let k(w) = 3*a(w) + v(w). Let y be 32\/(-12) + (-1)\/3. Let s be k(y). Solve 2*p - s = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 14*k**2\/3 - 14*k\/3 - 2 = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 11*l + 6 + 10*l + 24 + 21*l**2. Let m be t(-20). Let o(v) = m*v**3 - 13 + 11 - v - 9*v**3. Determine o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5258, -10515, -15772, -21029, -26286?\nAnswer: -31543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {t: 5, m: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 83 + 73 = 0. Let h = k - -379. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 + 22*q**2 + 31*q + 19. Let l(g) = -g**3 - 7*g**2 - 10*g - 6. Let m(p) = -21*l(p) - 6*v(p). Factor m(o).\nAnswer: 3*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -2\/15, -40.78, -36?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*w - 9, -24*w + 20*w - 13 = t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28399976 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/13)\/((-9)\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - -24. Let d = i + -40. What is the third smallest value in -4, d, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778724 minus -2?\nAnswer: 1778726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 19 = -z, -4*w - 10 = 159*z - 164*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(567) + -2*sqrt(567)*2 + -3 - (-2*sqrt(6300) - sqrt(6300))\/(sqrt(567)\/sqrt(7))))**2.\nAnswer: 408*sqrt(7) + 8128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51471 is divided by 17151.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y - 14 - 6 = 0, 5*o - 5*y - 15 = 0. Suppose -o*q + 287 = -1038. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y + 2607*y**2 - 41*y**3 + 12*y - 2618*y**2 + (1 - 1 - y**2)*(-2 + 2*y + 2).\nAnswer: -43*y**3 - 11*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/140 and -53\/54790?\nAnswer: 767060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -251\/7?\nAnswer: -251\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2586 + 2588. Factor -4\/17*z**o + 2\/17*z**3 + 4\/17 - 2\/17*z.\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31 + 3 + -6 - (-4)\/(-1). Suppose d - 3*y = -2 - 15, 4*d = y - u. Put 5, 3, 4, d in descending order.\nAnswer: 5, 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 - 8*o + 5. Suppose 3*i = -i + 24. Determine v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 5*n = 10, 5*n - 30 = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -210300?\nAnswer: 210242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 280668.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -146\/5 (b) -2\/5 (c) 0.2 (d) -3 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79888, -79882, -79876?\n\"Answer: 6*o - 79894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 10*j**2 + 569*j - 1712. Give y(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gti when three letters picked without replacement from ihbgt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 1, j: 1, b: 1, g: 2, l: 1}. Give prob of sequence lg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/21 and -181\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-2)\/(-64) + -1 + (-17)\/(-4). Determine p, given that -2\/3*p**x - 8\/9*p - 16\/9 + 20\/9*p**2 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 17 = -3*l - 6, -d + 4*l - 18 = 0. Sort -4, d, -2\/97, 1 in descending order.\nAnswer: d, 1, -2\/97, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 88*r**2 + 292*r + 84 = 0.\nAnswer: -3, -7\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13958.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31431778 and 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 15*l - 54 = 0. Suppose -8*c = -l*c + 212. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -193, -750, -1849, -3670, -6393, -10198?\nAnswer: -15265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597*n + 2311 + 2480 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9 and -173\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1127)\/(-21) - 6\/9. What is the highest common factor of 53 and x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 296*x**3 + 576*x**2.\nAnswer: 4*x**2*(x + 2)*(x + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-726)\/(-12)*11\/121.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110625, 2\/13, 4.\nAnswer: -110625, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*70.\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 0.29?\nAnswer: -7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 - 103412*w - 114010584 = 0. Calculate w.\nAnswer: -24699, -1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 10*t + 14. Let p(g) = g. Let r be 4 + (3 - 1) + -2. Calculate the smallest common multiple of d(10) and p(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28834, -4, -1233 in descending order.\nAnswer: 28834, -4, -1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9647*m + 299011. Determine h(-31).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -278, -132, 30, 214?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 6*l**2 + 3 + 0 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1920.1421 to the nearest ten.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.4 - -9.1. Let v = -867 - -870. Which is the third biggest value? (a) v (b) s (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*u - 0*g - 162, -2*u - 4*g + 56 = 0. Find the first derivative of -117*r - u - 28 + 10*r**3 + 117*r + 4*r**4 wrt r.\nAnswer: 16*r**3 + 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4880 and 13\/((-741)\/(-46360))*(-54)\/(-15)?\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 90002002.\nAnswer: -1\/90002002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.19, -411, 0.4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 15*v + 11. Let a be w(-15). Suppose -a*b = -9*b. Suppose 3*d - 4*f = 390, d + f + b*f = 123. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -1007, -1521?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.7. Let i = b + -0.3. Let u = 0.4 + i. What is the third biggest value in -3, u, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*v + 2*c**4 - 11539*c**3*v - c**3 - 485*c**2*v - c**2 + 89*c*v + 5*c wrt c?\nAnswer: 48*c*v + 48*c - 69234*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -493*p + 11. Give w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-8) - ((-7)\/4 - -1). Let j be 1 - (2 + -1*1). Solve -d*c + r = 15, -5*c = -j*r + 4*r + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4511*r**3 - 8840*r**2 + 1.\nAnswer: -27066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three quarters of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555914085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 3940*s - 1939298 = 0. Calculate s.\nAnswer: -1009, -961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(832) + 1 + (-4*(sqrt(832) + 0) - sqrt(832))*-6.\nAnswer: 6 + 256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 18*i**2 - 267*i + 7. Let n be s(15). Which is smaller: n or 57?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 1, v: 2, j: 2, d: 4, u: 2}. Give prob of sequence jmd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/15 - 257*p**5\/10 + 8*p**4 + 3*p**2\/2 + 3*p - 187. What is the third derivative of w(n) wrt n?\nAnswer: 48*n - 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 135120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 12*o + 14. Let j be s(7). Let x be 2\/((14\/j)\/((-15)\/(-9))). Let z = 3.3 + -3. Which is the third smallest value? (a) 3 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 78?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 17*d + 19 to the form t + j*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*2\/7 + (-180)\/46. Let m = 6 - 8. Which is the nearest to m? (a) s (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2872*i**2 - 6*i + 17. Let t be j(-8). Suppose -1947963 = -4*r - 692991. Let f = t + r. Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -465, -902, -1315, -1704, -2069, -2410, -2727?\n\"Answer: 12*p**2 - 473*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o. Let i(s) = -22*s**2 - 15. Let v(y) = -2*y**2 - 3. Let g(w) = -i(w) + 5*v(w). Determine g(c(b)).\nAnswer: 192*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a microsecond in nanoseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -4. Let n be 4*14\/(-4)*15\/(-42). Solve 4*p + 0*l + 7 = -l, -30 = n*p - u*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8126 and 30134554.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910*z**3 + 1094*z**3 - 366*z**3 + 1039*z**3.\nAnswer: 2677*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/39)\/y*y*y)\/(y\/y**(-5\/9)) assuming y is positive.\nAnswer: y**(46\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 - 787*l**3\/2 - 4714*l**2\/3.\nAnswer: -l**2*(l + 4)*(l + 2357)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30525?\nAnswer: 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(225) - (-1*sqrt(225)*5 - sqrt(225))))\/((-2*-3*sqrt(75) + sqrt(75))*-3))**2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 4*i**2 - 5*i + 2. Let x be j(-5). Calculate the remainder when 31 is divided by (3*x)\/((-12)\/(-32)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 127*n**3 + 3*n**2 - 74*n + 294. Does 23 divide i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71530 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: What is the highest common factor of 689 and 4399?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g + 3. Let v be q(0). Let o be 2 - (-2 + v + -3). Suppose j - 3 + 1 = 0. Solve x + 19 = -5*b, -b - o = -j*x + 3*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - -2 - (2 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2184367676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-4)\/8 - -1. Let b(u) be the first derivative of u**4\/12 + u**3\/6 - 3*u**2\/2 + 2. Let o(t) be the second derivative of b(t). Calculate o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76765 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 53100263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*x - 2983 - 21594 + 6439 - 18070 = 0 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 22. What is the units digit of q(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3628, -2924, -2220?\n\"Answer: 704*j - 4332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 + 10986945*f**2 + 615280680*f + 8613984400 = 0.\nAnswer: -28, 2197445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 59 times 215477\nAnswer: 12713143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 27. Let k = 16 + j. Let w(h) = 3*h**2 - 5*h**2 + k*h**2 + h**2. Let s(i) = i**2. Determine w(s(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 10*n**4 + (-4 + 4 - 2*n**3)*(-3*n + 5*n - n) - 6 - 6*n**4 + 6 - 2*n**4 + 3*n**4 - 2*n**4.\nAnswer: -19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 4*v**3 + v**3 + 0*v**3 + v to the form k*v**3 + p*v + d*v**2 + c and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -267644.\nAnswer: 1\/66911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -14*v - 316. Let b be (-678)\/(-30) - 3\/(v\/4). Let c = 59 - b. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 11. Let n be t(6). Suppose -i = -2*s + 305, -n*s + 3*i = i - 761. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.3 take away -0.6?\nAnswer: -114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1235*d**3 + 1173*d**4 - 1169*d**4 - 1191*d**3 to the form u*d + m + q*d**4 + b*d**2 + w*d**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1734564 + -1734564. Let n(v) = v**3 + 4*v**2 + 3*v + 2. Let o be n(-3). What is the closest to o in -2\/5, b, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21691 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13*y = 0. Solve y*s - 6 = 4*s + n, 4*n + 13 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 + -a122?\nAnswer: -a183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 18*v - 2. Let h(t) = 2*t**2 - 9*t - 1. Calculate -6*g(w) + 13*h(w).\nAnswer: 8*w**2 - 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-288)\/(-216))\/((-8)\/(-30)) - (0 + -362) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 0*c**4 + 2*c**5)*(665 + 964 - 2949).\nAnswer: -2640*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 241572.002 rounded to the nearest one thousand?\nAnswer: 242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1884*q**3 - 2279?\nAnswer: -5652*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121\/1344 - -1\/192. Let u(h) be the second derivative of -1\/42*h**4 - i*h**3 - 2*h - 1\/7*h**2 + 0. Find j, given that u(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/4 - 327239695*o\/2.\nAnswer: -5*o*(o + 130895878)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678 = 178*v + 280 - 4230 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:55 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-32)\/8)\/4)\/(1\/23). Let i = 53 + r. Calculate the greatest common divisor of 210 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34f - -13bf?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-93.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (279\/(-186))\/((-2)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - 0.24. Which is the closest to -1? (a) s (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 0*t**4 - t**4 - 114 + 114 - 16*t**4 + (-4*t + 3*t + 3*t)*(-3*t**3 + 0*t**3 + 2*t**3) to x*t**3 + s*t**4 + o*t**2 + r + u*t and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50*(-9)\/(-6))\/(3130\/(-5634)*(-135)\/50).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123220 + 1100121?\nAnswer: 1230001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -57. Let u be 6\/(-4)*8\/(-6). Calculate the highest common divisor of y and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d + 2. Let n = 1157 + -1162. Determine h(n).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((950\/(-76))\/25)\/18?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2516 and 296?\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70087*f - 389568*f + 41787*f.\nAnswer: -417868*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200074*c**2 - 55*c + 55*c.\nAnswer: -200074*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from ggtughhlgg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47835 is divided by 2158?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + -20)\/(-4 - -2). Solve p = -c*t - 2, 0 = t + 2*p - 0 - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/30*j**5 + 0 - 27*j**2 - 4*j**3 + 0*j + 2\/3*j**4. Find r, given that c(r) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 298*y + 62*y + 4525 - 1285 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -25. Does 6 divide 4\/z*(-2 - -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + -4 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 198144 divided by -6?\nAnswer: -33024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5154094 divided by -151591.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 91. Let m = -16 + 18. Suppose m*j - 27 - w = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*688\/(-430).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861816 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8) + (-2)\/4. Suppose 0*o - 130 = -130*o. Sort o, -5, h.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(52)\/(sqrt(4) + (sqrt(4) - sqrt(144))) + -2*(sqrt(65)\/sqrt(5))**2 - (-2*(sqrt(325) - (sqrt(325)*2 + 1)))**2))*1.\nAnswer: -1331 - 161*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 62*g + 1946. Let q be d(-31). Put 1, q, -8 in increasing order.\nAnswer: -8, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(500)*-1) + sqrt(5) + (sqrt(25)*-1)\/sqrt(5) + (sqrt(180)*-1)**2*3 + 1.\nAnswer: 11*sqrt(5) + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2741 (b) 3.7 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -147238993341?\nAnswer: 147238993340.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -26*p**3 + 11*p**2 + 26*p - 11. Let d(t) = 8*t**3 - 4*t**2 - 9*t + 4. Determine -11*d(l) - 4*o(l).\nAnswer: 16*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11939881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.606 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1513 and 5074602?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632 divided by -2468?\nAnswer: 408\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*s + 2, 4*d - 3*d + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 74, -3, 2, 17, 12.\nAnswer: -3, 2, 4, 12, 17, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -1\/5*r**5 - 48*r - 68\/3*r**3 + 122 + 50*r**2 + 17\/4*r**4. Factor d(a).\nAnswer: -(a - 12)*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-1400)*(6\/(-2) + -2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -977871620\/9 or -108652403?\nAnswer: -108652403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-12)\/(-9) - 2). Suppose -h*t + 38 + 42 = 0. Factor -234 + 100*v + 234 + 4*v**3 + t*v**2.\nAnswer: 4*v*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t + 30. Let o be v(0). Suppose 1670 = -o*d + 7940. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*u - 19 = 0, -2*v - 7 = -3*v + 3*u. Let q be v\/16 + (-2916)\/(-160). Let s = q - 35\/2. Is -5 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50\/7, 2, -2\/11 in descending order.\nAnswer: 50\/7, 2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146.112639 + 144.91263843. Let h = -1.2 - n. What is h rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1694 + -1699. Let r be (-2)\/(-12)*2*6. Let k(u) = -19*u + 5. Let x(v) = -10*v + 2. Calculate n*x(g) + r*k(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1*(-2 + sqrt(833)) - sqrt(833)) + sqrt(833)))**2 + (2 + (5 + sqrt(833)*4 + sqrt(833) + sqrt(833) - sqrt(833)))**2.\nAnswer: -518*sqrt(17) + 51006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 7586363514420.\nAnswer: 7586363514425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 2532*z**2 - 55232*z + 263. Calculate o(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38240155488.736 and 0.01.\nAnswer: -38240155488.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 5*i + 0*i - 2*i. Suppose -u + 2 = g, g + 0*g + 6 = 3*u. Let k(v) = g + 2*v + 0. What is q(k(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 55\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 3245?\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0 + t - 6 + 0*t - 2. Let g be j(8). Let i(u) = g*u + 5*u - 4*u - 2*u. Let s(r) = r. Calculate -i(p) + s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/25327 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4324*d - 114*d = -77193 + 262044 + 121371 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1206*u - 923. What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let i(g) = 8 - 7*g - 8. Calculate h(i(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10812)\/1802*(-9)\/(9\/(-3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + 0.08. Let i = c - 0.5. Let g = 0.1 - 0.2. Sort g, i, 0 in decreasing order.\nAnswer: 0, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 - 2. Let j(q) = 0*q**2 - 1 + 6*q**2 + c*q**2 - 10*q + q**3. What is the least common multiple of j(-9) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2699506727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 23 = -u, -3*u - 5*o - 57 = -0*o. Let j = 17 + u. Solve -3*l - 12 = 3*d, -j*d - 19 = -0*d - 4*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a kilometer in meters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.739831 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - 1.1. Suppose 1134 - 185 = 74*h - 13. Put h, a, 2\/5 in decreasing order.\nAnswer: h, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 105 = v, 3*f - 70 = -3*v + 5. What is the nearest to 0 in -1.3, -5, f?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 4*v + 0*v + (0 + 0 + 2*v)*(3 + 3 - 5) - 6*v + 2*v - 4*v)*(-8*v - 14 + 14) to the form y*v + z*v**2 + k and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13027*o**3*y**4 + 3*o**3*y + 9580*o**3 + 2*o wrt y?\nAnswer: 52108*o**3*y**3 + 3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/1409 or 0?\nAnswer: 6\/1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/73? (a) -4\/7 (b) 0 (c) -0.5 (d) -2\/9 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -23.41576124?\nAnswer: -9.41576124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -815401, 4, 5 in ascending order.\nAnswer: -815401, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203323 (base 4) to base 2.\nAnswer: 1100011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let o(m) = 4*m + 5. What is o(b) - 4*q(b)?\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:57 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - -3.18. Let a = u - 3. Is 0.1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 6*b - 52 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2967 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37076 (base 13) to base 11.\nAnswer: 6a003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 3 - -3*3. Let i = 337 - 29. Suppose 4*g - i = -0*g. Calculate the highest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2)\/(-4) + 21\/(-3). Let o be (-6)\/16 + 1 + (-411)\/j. Let h = o - 47. Solve -b + 9 = k, 0 = -h*k - 0*k - 2*b + 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(-2)*(-4)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*h + 6 + 102, -h + 19 = 5*t. Suppose s + 5*u = 44, h = s + u + 1. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 2 = -4*r, 3*r - 15 = 4*k. Let o be ((-2 - 1) + -2)*r. Let z(c) = -4 - 17*c + 30*c - 19*c + 1. Let g(b) = -7*b - 4. Give o*z(h) + 4*g(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 934, 3739, 8414, 14959?\n\"Answer: 935*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12719141, 12719146, 12719151?\n\"Answer: 5*g + 12719136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3\/8, -2, -1\/3 in ascending order.\nAnswer: -2, -1\/3, 3\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51184241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8771941 millennia?\nAnswer: 877.1941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -3\/7, 14\/15, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-9) - (7 + 585\/(-81)). Let k be ((-24)\/(-6))\/(-4)*t. Solve 4*i - k = -3*b, -2*b + 4 = -0*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2128 + -2246. Put 3, -4, c in ascending order.\nAnswer: c, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 11, -4 in descending order.\nAnswer: 161, 11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 10. Let f(s) = 2*s**2 + 6*s + 4 + 2*s**2 - 2 + 0*s**t. Is f(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 36*a - 32. Let p be n(30). What are the prime factors of (-10)\/(-30) - (-1 + p\/(-6))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**4\/8 + t**3\/18 - 10. Factor q(a).\nAnswer: a**2*(3*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s. Let c be z(-2). Suppose 2*f = q + 3*f + 27, q - 4*f = -c. Let r = -16 - q. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 24*m - 208. Let h = -100 + 149. Suppose 2*k = -3*s + h, -k + 9 = 4*s - 48. Calculate the remainder when r(8) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/60 + o**4\/6 + o**3\/6 - 6*o**2. Let u = -1 + 4. Let a be h(u). Is 4 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*v**3 - 84*v**3 + 60*v**3.\nAnswer: -110*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -65*i**3 - 13*i**2 - 13*i + 13. Let u(z) = 22*z**3 + 4*z**2 + 4*z - 4. Determine -13*u(p) - 4*w(p).\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 87*k - 2415. Give y(27).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9 - -12) - (8 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1)\/(-1 - 0). Suppose 0 = -3*f + 4*r - 0*r + 44, -3*f + 9 = 3*r. Let c be (6*f\/(-12) + p)*-1. Solve -c*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -2, 22, 0.7 in decreasing order.\nAnswer: 77, 22, 0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72800 by -280.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 67*r - 9 = 68*r, 5*a - 15 = -4*r. Let y(i) = -2*i**2 + 4*i - 3. Calculate y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7733000 and -87\/76.\nAnswer: 7733000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4311 divided by -9975\nAnswer: 1437\/3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 3*z**2 - z + 137. Determine p(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**2 - 7*t - 3. List the prime factors of p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 16*n**2 - 281*n - 3532. Give z(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.9 (b) -2 (c) 0.1 (d) 5 (e) 11 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068051 and 150752.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.15 + 1.15. Which is the nearest to 0? (a) 2 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -277. Let i = l - -199. Solve 0 = -i*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/8 + (-2)\/4. Suppose -h*t = -2*t - 3*r - 79, -3*t + 3*r + 63 = 0. Let f = 48483 - 48479. Calculate the lowest common multiple of f and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5759172 (base 10) to base 8\nAnswer: -25760304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -732395 or -732216?\nAnswer: -732216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 755, 1638, 2853, 4388, 6231, 8370, 10793?\nAnswer: 13488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-30)*(0 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1794 and 9204.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9810094 and 2702781?\nAnswer: 264872538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 3*a**2 - 6*a**2)*(-3 + 2 + 2)*(43 - 7 + 23).\nAnswer: -118*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + u = -4, -l - 8*u + 4 = -13*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -193388.68.\nAnswer: 386777.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134452 + 1?\nAnswer: 134453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 26*g. Solve g*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2 - n - 57 - 2*n - 2*n - 2*n wrt n?\nAnswer: -2*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 14*l**2 - 12*l - 10. Let h be g(13). Suppose 305 = h*v - 2*w, -w + 0*w = 4. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-510)\/595 - 81\/(-21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.2349693\nAnswer: -0.07049079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -895 - -8057\/9. What is the biggest value in v, -77, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2280\/(-45))\/(-19) - 1\/(-3). Solve j + v*a = 10, a + 2 = 5*j - 0*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*o - 2800 + 2800 - 2017*o**2 - 454*o.\nAnswer: -2017*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248 - 247. Let l = 1.1 + -0.9. What is the smallest value in w, l, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 89*f - 527. Calculate z(77).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (1*(sqrt(1053) - (1 + sqrt(1053))) + (sqrt(1053) - sqrt(1053)*-1) + sqrt(1053) + 2 - -2*(sqrt(1053) + 1 + sqrt(1053) - sqrt(1053))*6)))**2.\nAnswer: 17280*sqrt(13) + 948724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 35*h = 78*h - 29120. What is the greatest common divisor of 819 and h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27884 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*w + 254*w + 58*w + 31*w + 116*w in the form z + k*w and give k.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = o - k, -3*o - 7*k = -11*k - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, g: 1, o: 7}. Give prob of sequence ovog.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00083 rounded to five decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2 (c) 0.9 (d) -1\/12 (e) 9 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75200 is divided by 3414?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1719992, 4?\nAnswer: 1719992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 3523845?\nAnswer: 109239195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kknnlknktuutlus. Give prob of picking 1 k, 1 t, and 2 u.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0385*-153.\nAnswer: 5.8905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525213 is divided by 525139?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445044 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 8*l - 12 = -4*a, 0 = 2*a - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)\/((-9)\/(-18)). Let k = 21 - 20. Let o(g) = -g**3 + 3*g**2. Let s be o(3). Which is the nearest to d? (a) 2 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q + 3. Let f(j) be the first derivative of -j**2\/2 - 32. What is f(x(g))?\nAnswer: -14*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 9*r**2 + 9*r - 1. Let k be j(-8). Let q be (-479)\/k - 14\/63. Suppose b + 6*l = 2*l + q, 0 = 5*b - l - 160. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/700)\/((-6)\/(-30)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4. Let h be m(-3). Suppose -20 = -4*p, h*d - p - 90 = -0*p. Calculate the remainder when d is divided by (3\/6*-2)\/((-3)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10, -v - 4*v + 16 = d. Let t be (4\/d)\/(0 - (-4)\/6). Put t, -5, -1, 2 in ascending order.\nAnswer: -5, -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 + l + 6. Let t(g) = 124*g**4 + 5*g**3 - 753*g**2 + 5*g + 30. Let k(f) = -10*p(f) + 2*t(f). Find the third derivative of k(s) wrt s.\nAnswer: 5952*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 3*p - p - 5*p + 3*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19808 + -181?\nAnswer: -19989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5338.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5 - 30098*i**4 + 451018*i**3 + 30098*i**2 - 451020*i = 0.\nAnswer: -1, 0, 1, 15, 15034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1790, 0, 5, 7, 3.\nAnswer: -1790, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + (sqrt(143) - (sqrt(143) + (sqrt(143) - 2*sqrt(143)))) + sqrt(143))*4*-5*1)\/(3*sqrt(704)*-2 - (4*sqrt(704)*-2 + sqrt(704))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 2:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hmhhrhhrrmhh?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*u - 211*u**2 + 215*u**2 + 3199 + 91*u - 63 = 0. What is u?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20202.999204 + 20203. What is g rounded to five decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (13 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 - 2*t + 0*t**4 + 27 + 256*t**3 - 257*t**3 - 3*t**4 in the form b + k*t + n*t**2 + l*t**4 + x*t**3 and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987 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: Four letters picked without replacement from ooegiuuuizzozzigzzzo. Give prob of picking 1 z, 1 u, and 2 g.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76) + -1*sqrt(76))*-3)**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brh when three letters picked without replacement from {n: 5, r: 2, h: 1, z: 1, b: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:36 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 0.4, -149944 in increasing order.\nAnswer: -149944, -4, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -16*l - 1224. What is the units digit of (1\/2)\/(3*(-3)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.8. Let l = 32.3 + -30.3. Sort m, -2\/25, l in descending order.\nAnswer: l, m, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 2*m - 3*m, -23 = -o - 5*m. Let p be o\/4*5\/20. Let h be (12\/18)\/((-2)\/(-3)). What is the second smallest value in h, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let n be q - -1 - (-2 - 2). Let y be 13 + (-6 - (0 + -3)). Solve y*h - n*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58298 is divided by 258?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:49 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let l(p) = -4*p**2 + 3*p**2 + 2*p**2. Calculate l(g(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaqoezt. Give prob of sequence qz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8 + 24. Suppose 9 = 3*g, -4*g = -3*z - 7*g + 54. What is the remainder when z is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 14712323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 11113860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6 - 5 + 41 + t**2 - 11*t. What is the least common multiple of 35 and p(11)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f - 1 - 71*f + 0.\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8110219 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109458355?\nAnswer: 5, 457, 47903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10981 is divided by 251?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7\/3)*h)\/h**(-4))\/(h**(-5\/3))**(-8) assuming h is positive.\nAnswer: h**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506123 is divided by 1181.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 15*c**2 + 25*c - 37. Let f be a(16). Let x = f + 28. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 16900?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/8*69214*(-388)\/679?\nAnswer: 2, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -264564 (b) -1\/4 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 0) + -4 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 8 - 5*s)*(-107 + 542 + 122) - 2*s - s + 5*s to the form c + h*s and give h.\nAnswer: -2783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1051 or 1050?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let x be n(4). Suppose 54 = -5*y + 8*y. Let w be 4\/(-2)*x\/y. Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -285, -2\/3, 0.26, -482, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/7 + 88*i**4\/7 + 5218*i**3\/7 + 8016*i**2\/7 - 103176*i\/7 + 89856\/7 = 0.\nAnswer: -32, -6, 1, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 20 (c) 0 (d) -4 (e) -1 (f) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-272)\/(-44) + (-2)\/11. Suppose 0*r - 5*o - 42 = -2*r, 3*o = f. Suppose 2*b - r = 20. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t + 2. Let p be s(7). Suppose -4*c + 8 = -v + p*v, 0 = -v - c + 5. Let g(o) = 0*o + 4*o + 3 - 3*o + o**3 - 6 - 4*o**2. Give g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260 - 255. Let s = -2\/671 - 2674\/3355. Sort s, -4, y.\nAnswer: -4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -662, 46, 754, 1462, 2170, 2878?\n\"Answer: 708*c - 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14.68. Let x = 0.320143 + d. Round x to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 223118988 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 519 + -514. Sort -0.16, s, -4 in increasing order.\nAnswer: -4, -0.16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601966347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004247.7 microseconds in hours?\nAnswer: 0.00083451325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 0.941, -1\/11, -3, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 25*k**2 - 595*k + 1102. Give n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313254 + 313257. Factor -72\/5 - 243\/5*q**b - 1566\/5*q**2 - 132*q.\nAnswer: -3*(q + 6)*(9*q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2*b**3 + 7 + (13*b**2 + 46 - 46)*(-37 + 37 - 23*b) in the form t*b**3 + s*b + v*b**2 + c and give t.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.512*-0.1.\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 69. What is the units digit of 2\/o + -2 + (-114)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118251.\nAnswer: 3, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*b + 10, 4*u - 2 = 5*b + 4. Suppose z + 3330 = u*z. Let x = 14420\/13 - z. Is x at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51)\/12 + 2\/8. Let v = f - -7. Suppose 2*g - i = 9 + v, 3*i = -4*g + 4. Solve g*n = 2*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/13, -1\/1775?\nAnswer: -1\/1775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {k: 3, b: 1, x: 3, m: 1, n: 6, u: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/60 + (-12)\/16. Let m = 2159 + -2157. Let i = -0.2 - 0.1. What is the second smallest value in -1\/3, i, h, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 - 5 = 0. Sort -3, r, -2.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307407.\nAnswer: 3, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 23)*(-4 + 4 - n**2)*(-2 - 2 + 6).\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*28*-1. Let j(u) = 4*u**3 - u**2 + 3*u - 7. Let s be j(2). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 15*r + 11. Let t be y(-15). Suppose -4*f - t = 4*m - 187, -m + 134 = 3*f. What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -3*z - 0, 3*z + u = 23. Let j be (-6)\/(-9) + 68\/z. Suppose -108 = -g - 2*g. What is the greatest common divisor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1196659052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 17*v**2 - 9*v - 2. Let d be z(-9). Let r = d - -19. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1791*c**4 - 1319*c**2 wrt c.\nAnswer: 42984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 l, and 1 t when four letters picked without replacement from ttssbqtltqbtlqlqtt?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3 + 4*h - 3*h + h**2 + 4*h - 1. Let l be v(-6). Let z = 14 - l. Solve 1 = w + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-125))\/(5643\/(-2565))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19990 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17 + 29 - 3*r - 20. Let u be k(-5). Suppose -u*m + 105 + 56 = 0. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from mommmmdoumdmmyyu.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8474 + 8502 = -i + 5*a, 5*a = -2*i + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 6)*(6 - 2 + 0)*(-5066 - 218*x**3 + 5066).\nAnswer: -4360*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 - 5*r + 127 - 41 - 46 + 16*r + 12*r - 37. Let g be 67\/4 + 2\/8. Let a(i) = 2*i**2 - 8*i - 1. What is g*a(q) + 6*m(q)?\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 - -846. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4 + 4*w + 2*w + 12*w**2 - 3*w. What is the tens digit of j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -5*q**4\/6 - 9*q**2 - q. Let k(m) = -89*m**2. Determine d(k(y)).\nAnswer: 1780*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2946 is divided by 101.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 1. Let s = -87 - -120. Suppose 0 = -7*o - s + 12. Let j(u) = 2*u**3 - u**2 + 3*u - 6. Calculate o*x(q) + j(q).\nAnswer: 2*q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -52, -4, -3, -21 in ascending order.\nAnswer: -52, -21, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28170247?\nAnswer: 7, 82129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgl. Give prob of sequence lg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -348, -2880 in ascending order.\nAnswer: -2880, -348, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 13. Let z(x) = -x**2 - 10*x + 11. Let k be z(w). Calculate the greatest common divisor of 80 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b + 28. Let h(q) = 7*q - 114. Let l be h(18). Is 16 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -101 and -9779.\nAnswer: -9880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 602*m**2 + 602*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.56, -123678, 1.\nAnswer: -123678, 0.56, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -62 and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128228.6083097 + -2.77.\nAnswer: 128225.8383097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*j**2 - 11 + 10 - 11*j**2.\nAnswer: 75*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 3 = -55 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274755 and 390.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61944.39 and 1813893?\nAnswer: 1751948.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**7\/210 - m**6\/90 + m**5\/45 - 5*m**2\/2 - 5*m. Let s(p) be the first derivative of d(p). Factor s(o).\nAnswer: -o**2*(o + 2)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/16 - 1759*v**4\/96 - 4829*v**3\/3 + 484*v**2 - 41*v + 6. Factor x(k).\nAnswer: -(k + 88)**2*(10*k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143, 160, 177, 194, 211, 228?\n\"Answer: 17*q + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let y = a - 1. Suppose -y*p + 11 + 5 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 657465 and 24810.\nAnswer: 1314930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1918, 3\/5, -0.4, -2\/7 in ascending order.\nAnswer: -1918, -0.4, -2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730629 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 16 - 4. Let x be ((-110006)\/3 - d)*3. Round x to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -449, -691, -933?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42 and ((-4)\/(-10))\/(252\/(-1095)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 13*v + 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162) + -3 - (sqrt(162) + sqrt(162) + sqrt(162) + sqrt(162)*-3 + -2))*-6)**2.\nAnswer: -648*sqrt(2) + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.825 and 19?\nAnswer: -15.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 43*f**2 + 5 + f**2.\nAnswer: 31*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 171.\nAnswer: 5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 4 = 0. Let s = a - 3. Let p be (-15)\/(s\/((-50)\/(-3))). Round p to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 4)*(-3 - 2 + 4)*(9 - 2*o - 9) to the form h + f*o and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 + 276*m + 271*m + 101*m**2 + 2*m**3 - 548*m to the form g*m**2 + r*m**3 + w + t*m + z*m**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 7. Let j(u) = 2. Let c(l) = 21*j(l) + 6*q(l). Let d be c(-4). Is (158\/(-6))\/((-4)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*p**2 + 17*p**3 - 143*p**2)*(-2*p**2 + 3*p**2 + 2*p**2).\nAnswer: 51*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1027\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 6*t**2 - 29*t - 22. Let k be n(-9). Let g be 1\/2 + 11\/(-2). Sort k, g, 4 in descending order.\nAnswer: 4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85019044*h**3 + 58370868*h?\nAnswer: -510114264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1387*i - 1378*i = 54 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*k + 70 = 0, 0*k - k + 15 = o. Let l = 56 - o. Suppose -2*m - u + 77 = 0, 0*m - m = -2*u - l. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fifz when four letters picked without replacement from {i: 1, v: 5, t: 1, f: 1, z: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*v + 2)*((3*v - v - 3*v)*(-1 - 2 + 2) + 575*v - 99*v + 99*v) + (v - v - 2*v)*(2*v + v - 2*v) to b*v**2 + d + r*v and give b.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -13176136046.\nAnswer: 13176136068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1211 + 0?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5306 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-90))\/(238\/357).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-3 - (-3 + 0)) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b - 2. Let y(p) = p**2 + 0*p**2 + 10 + 12 + 12*p. Let u(d) = -2*d**2 - 25*d + 4. Let m be u(-13). Let v be y(m). Give o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32853\/10 or 3286?\nAnswer: 32853\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7387*b + 1031*b + 3932*b in the form u*b + r and give u.\nAnswer: 12350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 269089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:54 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*p - 9, 5*b - 10 = -3*p + 21. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4124113 (base 6) in base 2?\nAnswer: -110000010100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -26, 2\/11, 0.4, -21.\nAnswer: -57, -26, -21, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -29.7. What is the second biggest value in -2, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -1721, -2583, -3445, -4307?\nAnswer: -5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w**3 + 200*w**2 + 698*w - 11600. Determine t(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1686, 5, 190.\nAnswer: -14, 5, 190, 1686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3413315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 67 + 127. Is 3\/(x\/(-10390))*(-2)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2072 or -139?\nAnswer: -2072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725070 to the power of 1\/2, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/10*(-4)\/3. Let b(z) = -z**3 - 2*z**2 - 2*z + 5. What is the units digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -g + 1098. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/168)\/(((-6)\/30)\/((-6)\/20)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212801640.\nAnswer: 2, 3, 5, 131, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8679, -17562, -26655, -35958, -45471, -55194, -65127?\n\"Answer: -105*s**2 - 8568*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4162561 + 7241666. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -242*d**3 + 43*d**2 - 54*d - 3. Let k be x(-23). Round k to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 + 314. Let w = -151 + r. Suppose 2*z = -5*d + 65, 2*z = 3*z + 2*d - 34. Calculate the smallest common multiple of z and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206068*h**3 - 206062*h**3 + 412110*h**3 - 2 + 2.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 35. Let d be o(12). Let a(r) = -13*r + 1. What are the prime factors of a(d)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212221111 (base 3) to base 10.\nAnswer: -56821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 - 14*n**2 + 85*n**2.\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125553 = 1995*a - 132 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10 (b) 27\/361 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3130 and 226299?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.8 + 39. Let h = -11 - -15. Let t = h + g. Which is the second smallest value? (a) t (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 64*m + 15 = 0. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -39, -45, -51, -57, -63?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2*6*((-30)\/(-27))\/5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:00 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 131680\nAnswer: -13\/131680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*i - 19 - 16, -15 = -3*i. Solve u = -5*b, 5*b = 2*q + 5 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -2\/7 (c) 0.4 (d) -6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3246 (base 12) to base 5\nAnswer: 134101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19913*c**3 - 39*c**2 - 358?\nAnswer: -119478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2506, -5012, -7518?\n\"Answer: -2506*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34295664 divided by 17147832\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10939 - 10944. Let h(j) = -240*j. Let x(k) = 160*k. What is s*h(y) - 8*x(y)?\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 24 = 3*u. Solve 0 = -l - s - u, -3*l = 2*l + s + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7699\/63 + -850\/7. Which is the closest to -0.5? (a) m (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1406 by 25818.\nAnswer: 703\/12909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-9))\/((-16)\/72). Suppose s - m = 3. Suppose -s*k + 8*k = 1329. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -70. Suppose 8*l - t = -4. Solve 2*g + 4*r + 6 = 0, -r + 2 = -l*g - 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 12*l + 115. Let m = l - -18. Is m less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*k. Suppose -2*g = 6, k*i + 2*g - 23 - 103 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 47 = 4*s - 146, 5*s = 5*n + 235. Is 46 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 28, 6042 = 5*u + 2*i - i. What are the prime factors of u?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k. Let b(h) = -27*h - 4. Calculate f(b(q)).\nAnswer: 270*q + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 divided by 12.\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6343144 and 17\/20.\nAnswer: 31715720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let t(b) = -9*b + 3. Let p(s) = -4*s + 2. Let l(o) = q*t(o) - 5*p(o). What is l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7968956 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 18, 4, -1, 55?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 45434 - 55221 = -7870. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15865.53 + -15934. Round d to zero dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 7 (c) 0.75 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-588)\/(-672))\/((-2)\/4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -17, 4, 35?\n\"Answer: 5*f**2 - 4*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w + 1. Let h be u(-11). Is h greater than -4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -4. Let f = -14 - t. Let n = 6 + f. Solve n = 3*s - 1 - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + 6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let r(c) be the first derivative of 0*c + c**2 + 0*c**3 + 2 - 1\/24*c**4. Let t(j) be the second derivative of r(j). Give t(m(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-196)*(-6517)\/(-98).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -378, 3, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153 and -0.007.\nAnswer: -1.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.1 - -50.702. Let u = g - 0.65. Let m = u - -2.048. Which is smaller: 1\/16 or m?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -8*c - 80. Is (0 - -5)\/c + 1080 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.0937+2530763\nAnswer: 2530750.9063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 9*p - 14. Let g be j(6). Let n = -32 - g. Suppose 5*y - 2*y - 84 = n. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 1. Let i = -17 + 10. Let h be 2\/i + 204\/28. Let l be n(h). What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36316 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 - 29474*y**2 + 141343*y?\nAnswer: 12*y - 58948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 288. Let q(p) = -2*p - 1. Give -n(v) + q(v).\nAnswer: -v - 289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 6. Calculate r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 25*x + 11)*((6*x - 2*x - 3*x)*(-1 + 2 + 0) - x + 7*x + 11*x).\nAnswer: -450*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-112)*(-6)\/9 - 90\/189.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173191891.\nAnswer: 173191891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 3, 2, -1, 21 in ascending order.\nAnswer: -1, 2, 3, 21, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 + 15*s - 80. Determine w(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22. Let c = 66.02 - 66. What is the closest to r in c, -4\/3, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*v - 2, 4*v - 10 = k + 8*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 8 = 0. Solve 7 + 3 = 2*p - g*d, 0 = 5*p + 3*d - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -123*w + 131*w. Solve 2*d + 3 = b - 6, w*b + 2*d = 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**8\/168 + 41*l**7\/105 - 13*l**6\/20 - 41*l**5\/30 + 10*l**4\/3 - 613*l**2 + 3. Suppose t(p) = 0. What is p?\nAnswer: -1, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209370.33 to the nearest one thousand.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*1*sqrt(125)*6 + 1 + ((sqrt(105)*1 + sqrt(105))\/sqrt(3))\/(3*sqrt(112)))**2.\nAnswer: 1801*sqrt(5)\/3 + 16218041\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 269, 284, 315, 368?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4885011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -633 - -638. Is 0.19 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4397?\nAnswer: 4397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 51*c - 55*c = -22, -2*l = -c - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 2758778?\nAnswer: -2758777.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.82, -4, -5, -4\/3, 1\/4?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18043867 to the nearest integer?\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*c + 1 = 0, -2*c - 3 = -4*m + 1. Let n be (-6)\/9 - (-19)\/15. Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-16 - -8 - -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, -5, -7, 5, -61, 1.08 in decreasing order.\nAnswer: 5, 1.08, 0.5, -2, -5, -7, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51547928 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 8*p + 36 - 3*p + 14 + 14. Let v(c) = -c**2 - 5*c. Calculate the least common multiple of v(-4) and r(58).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.955662 * -13.\nAnswer: -246.423606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75510*f**3 - 302*f*w**3 + 33561238*w**3 wrt f?\nAnswer: 226530*f**2 - 302*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 4 - -4436)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 3*q**2 + 2*q + 13. What is the remainder when 61 is divided by f(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 + u**4 - 2*u**4)*(5 - 5 + 2) + 49096*u**2 - 49096*u**2 + 387*u**4 - 2*u**4 - 3*u**4 + 3*u**4.\nAnswer: 391*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 10*j**2 - 5*j - 56. Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -5569*f**6\/120 - f**5\/20 - 7*f**4\/24 - 16*f**3 + 6503*f**2. Find the third derivative of n(k) wrt k.\nAnswer: -33414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46608632 divided by -8?\nAnswer: 5826079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a + 22. Let c be v(0). Let o = 25 - c. Solve 4 = -5*w + o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*o = -0*o - 10, -4*u - 3*o - 8 = 0. What is the units digit of (29\/58)\/(u\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187487923.\nAnswer: 7, 26783989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5818815.\nAnswer: 3, 5, 191, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((2\/(-2))\/8*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5145015 bigger than -5145015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let q be (h\/(-4))\/((-2)\/12). Is -3 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/22*99715\/(-5180)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -7 + 1\/(-4) + 3. Let j = -0.04 + -0.36. Which is the nearest to k? (a) 1\/2 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -28*z**2 - z. Let x be p(1). Let j = x + 69. What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:13 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 199, 6, 5 in decreasing order.\nAnswer: 199, 6, 5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + w + 666 = 5*c + 655, 4*w - 91 = 2*c - 7*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -0*x + 52 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 84. Suppose 0 = 12*f + x - 28. Sort -4, 38, f in decreasing order.\nAnswer: 38, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(8\/(-6)) + -55. Let l = n - -366\/7. What is the closest to l in 1\/7, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**4*x + 1567103*n**2*x**3 - 2*x**3 + 1970368*x wrt n.\nAnswer: -8*n**3*x + 3134206*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 2. Let c(y) = -y + 1. Let g(w) = 2*c(w) - p(w). Let r(d) = 2*d - 5*d + d. Calculate g(r(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 22222000?\nAnswer: 22222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14.1. Let r = 2.2 - z. Is r equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(320) + -1)**2 + 2 - ((sqrt(5) + 1*sqrt(5) + sqrt(5))**2*5 + (-1 + sqrt(5))*3 + 1))*3.\nAnswer: -9*sqrt(5) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -55, -4, 56, -11.\nAnswer: -55, -11, -4, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -576877 (base 11) in base 7?\nAnswer: -10535554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 577 + 490. Let l = -1062 + y. Which is greater: -10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 5. What is the remainder when 25 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -715334944 + 715334879.9999894. Let q = -136 - -72. Let l = q - v. What is l rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:54 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4320 and 112.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2458 - -0.4458. Let z = 2 + 0. Which is greater: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c**2 - 356*c**2 + 91*c**2 + 90*c**2 + 88*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 36. Let j(r) = r**3 - r**2 + 2*r - 7. Is j(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - x - 39 = h - 2*x, 2241 - 2196 = 3*h + 2*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 139 = -3*h, 0 = -h - 4*f - 15 - 22. Find the common denominator of ((-17)\/18)\/(((-495)\/40)\/(-33)) and 978\/h*2\/(-8).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + b)*(1 + 1 + 1)*(0 + 0 + 28) - b - 3 + 3.\nAnswer: 83*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1. Let b(d) = -7*d - 14. Calculate b(z) - 6*r(z).\nAnswer: -7*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 0*j**4 - 6*j**4 + 3*j**4 - 2*j**3 as p*j + g*j**3 + n*j**2 + f + a*j**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 8*n - 6 = 0. Suppose -26 = -4*o + 2*h, 2*o - 4*h - 2 = 4*o. Let i(s) = 1 + 2 + 3*s + 1. Let p(c) = 2*c + 2. Give n*i(v) + o*p(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/4 + 5*r**3\/6 - r**2 - 9*r. Solve v(d) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) -2\/9 (c) -1\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80613, 80604, 80591, 80574, 80553, 80528, 80499?\nAnswer: 80466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62*(-115)\/713)\/((-20)\/45).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/8 - 24*f**2. Let i(h) = 5. Let s(r) = -r + 4. Let k(p) = -4*i(p) + 5*s(p). Calculate -3*k(m) - 6*l(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 36. Let u be t(9). Let w = 60 - u. Is (-35848)\/w + (-12)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.51 and -2.\nAnswer: -2.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + 2.83. What is the biggest value in 5\/3, g, -1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**2 + 2. Let c = -1332 - -1330. Let b(i) = 558*i**2 - 63. What is c*b(s) - 63*h(s)?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(40\/16)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43190*d**2 - 4255*d - 1244163125.\nAnswer: -86380*d - 4255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 146 (b) -5 (c) 11\/6 (d) 1 (e) -3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 0)*6 + sqrt(125) + sqrt(125) + 2*sqrt(125)*-2)**2 - (6*(-2*sqrt(500) + (sqrt(5) - -2*sqrt(720))))**2.\nAnswer: 14720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134754327?\nAnswer: 3, 19, 347, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 9 - 11 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 4, 0, -15 in descending order.\nAnswer: 6, 5, 4, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:37 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47471, 94954, 142437, 189920?\nAnswer: 237403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 774 + -216. Let k = w - 572. Do k and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25637669?\nAnswer: 19, 41, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = 2*b, -18*w + 20*w - 4 = 2*b. Let t(q) = 6*q**3 - 7*q**2 - 4*q + 2. Let o(s) = 5*s**3 - 6*s**2 - 3*s + 2. Determine w*o(k) + 3*t(k).\nAnswer: -2*k**3 + 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/31470 and -26\/57695.\nAnswer: 346170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/5)\/(v\/v**5*v))**41 assuming v is positive.\nAnswer: v**(451\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 20 = 5*f, -7*u + 3*f + 12 = -12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78857562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68672, 68667, 68662, 68657, 68652, 68647?\n\"Answer: -5*u + 68677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136081070 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*t + 3718 - 3719, 2*t = 4*c + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 153*j. Let s(h) = 14*h. What is 3*k(i) - 34*s(i)?\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*-2.86\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6510 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -19*o - 1782. Let p = 312 + o. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-28 - -10 - -40)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/141 and 73\/71451?\nAnswer: 3358197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928116 and 54864.\nAnswer: 11137392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 202 = 5*r - 228, 0 = -2*v + 2*r + 848. What is the greatest common divisor of 170 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678281?\nAnswer: 3, 11, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 49 - 15 = 2*i, 0 = c. Solve 19*p - i*p = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -13, 34*q - 3*y + 138 = 67*q. Suppose p**4 - 1\/5*p**5 + 0*p + 0 - 8\/5*p**2 - 2\/5*p**q = 0. What is p?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1150115486 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) + -1*sqrt(104) - sqrt(104)))*5)\/sqrt(8)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.05 + -0.05. What is the biggest value in s, 0.2, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 192762972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g - 62*g + 1270*g + 1 - 384*g.\nAnswer: 679*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86189 and 173.25.\nAnswer: -14932244.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c + 21d?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 13) + 12 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16664*f + 24 = -2*c + 16662*f, -f - 2 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = -5. Let q(b) = 2*b + 1. Let c be q(k). Suppose c*u - 5*r = 0, r - 1 = 5*u + 7. Is u equal to -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64844, -129696, -194558, -259430, -324312, -389204, -454106?\nAnswer: -519018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -833 - -830. Let y(f) be the first derivative of -7*f**2\/2 - 4*f + 1. Let x be y(w). Solve u - 4*h - 5 = -5*h, -5*h + x = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 2. Let i(v) = -11 - 7*v - 6*v - v. Let q(r) = -2*i(r) + 11*o(r). Let c(j) = -j. Let s(g) = -4*c(g) + q(g). Give s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(72))*3 + 4 + -5.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442232434 to the power of 1\/2, to the nearest integer?\nAnswer: 37977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -102, -87, -46, 33, 162, 353?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 3*c + c**2 - 10*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 444.1042.\nAnswer: 443.5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/1515, -2.47, 3\/10?\nAnswer: -2.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-24 - -58) - 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/7, -0.09 in decreasing order.\nAnswer: 2\/13, -0.09, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icci when four letters picked without replacement from cccccciiccccc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (-3 + 5 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 302192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295 and 67850?\nAnswer: 67850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -32665030.\nAnswer: 2\/16332515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 754175339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/6 + 4 - 2\/(-6). Let k be (0\/(-4))\/(q*4). Let w be (1 - (2 + 2)) + 6. Solve 4*h = -5*l + 16, k*l = w*h + 4*l - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292364, -584702, -877036, -1169366, -1461692, -1754014?\nAnswer: -2046332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*s - 7 = 4*s, -5*w - 3*s = -19. Suppose -11 = -4*q - w*n + 15, 2*n - 10 = 0. Suppose x - 3 = -1, -4*x = q*p - 8. Is p smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, -13, 3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.08 - -1.18. Which is the third biggest value? (a) m (b) -0.4 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6346*b**2 - 6351*b**2 - 6125*b**2 + 18822*b**2 - 9*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2135647 is divided by 1067662.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + z = 4*i + 2, 5*i = z. Is -11\/26 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 - 2*v**3 - v**2 + 10*v - 1. Suppose 0 = -5*x - 0 + 35. Let k be y(x). What is k rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {w: 4, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(153)*2)\/sqrt(9)*-1.\nAnswer: -10*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25*k + 4. Let j(t) = 25*t + 5. Determine -3*j(c) + 4*n(c).\nAnswer: 25*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:12 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54168897 to 4 dps.\nAnswer: 0.5417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0295 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.169 + 0.725. Let a = 1.2 + r. Let o = a + 0.125. What is o rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n + 6. Let d be o(7). Let c(y) = y**3 - 5*y**2 - 5*y - 3. Let j be c(d). Suppose -4*t = -i + 99, 222 = -i + 4*i + j*t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -79. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (5 - (-9 - (-17 + -11)))) + (-8 - -2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2845 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 198525 and 14362622?\nAnswer: 1077196650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5418*z + 839. Let u be h(15). Round u to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24031.978 + -24032. Which is smaller: 22 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2. Let c(o) = 4*o - 9. Let s(a) = 6*a - 14. Let z(k) = 8*c(k) - 5*s(k). Let h be z(3). Let w(t) = -h*t**2 + 5*t**2 + t**2. Give w(n(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and -107\/490.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/749 - -187\/6741. Let o = -2.3 + 0.3. Which is the biggest value? (a) l (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5232*b + 5223*b - 15678*b + 5222*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 8, p: 1, q: 6}. What is prob of sequence pqja?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7053398 rounded to the nearest one hundred thousand?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -9.\nAnswer: 73\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8)*20\/(-1). Suppose -s*k = -d - 9, -2*k + k + d = -1. Suppose 4*u - 4*h + 4 = 0, u = -0*u - 2*h + k. Sort -4, -9, u in decreasing order.\nAnswer: u, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27220 (base 14) to base 7\nAnswer: -551140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -510, -1141, -2022, -3153?\nAnswer: -4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-2349)\/(-1218))*(-3)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + 1*sqrt(171) + 5 + -2*2*sqrt(171)*-2 + 4)**2.\nAnswer: 162*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h + 3\/2*h**3 - 6 - 15\/2*h**2.\nAnswer: 3*(h - 2)**2*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-4 + -1 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3268\/10 + (-184)\/230. Let f = 328 - d. Find q such that 1\/8*q**4 + 1\/4*q**f - 3\/8 - 1\/2*q + 1\/2*q**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 266\/3? (a) -2.32 (b) -1.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1, b: 1}. What is prob of sequence gbq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 148346, 296704, 445074, 593462, 741874, 890316, 1038794?\n\"Answer: c**3 + 148351*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 104\/2 + 888\/222. Solve 9*z + 47 - k = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 188.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-45) - (-64)\/(-288).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -4\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*h - 51902 - 24223 = 0. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -989 and -557\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvnvnvnzhj. Give prob of picking 1 j and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 43*q**2\/3 + 83*q\/3 + 41\/3.\nAnswer: (q + 1)**2*(q + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:18 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118 or 233\/2?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + 1 + 2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18186018 (base 9) to base 14\nAnswer: 13029bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 152. Let z = g + -27. Solve -5*s = -1 + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, -3, -0.08, 2, -4921\/4, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/5))**19*((y\/(y**4\/y))\/y)**(8\/13) assuming y is positive.\nAnswer: y**(-1602\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccckwykakccdcccccc. What is prob of picking 1 d, 1 y, and 1 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a13c7 (base 14) to base 5.\nAnswer: 333311230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1004 - -0.593673\nAnswer: 1004.593673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t - 20 = 0, 170 = 5*g - 4*t. What is the least common multiple of 6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 - -155. Let w(d) = -d**2 - d + 2. Let j be w(0). Suppose 5*o = -i*h - j, -5*o + 5*h = -30 - 0. Solve z = o*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*y - 21*y - 72. Calculate the least common multiple of 2 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 175*d**3 - 4*d**2 - 15. Let v be x(5). Suppose 13*p = 8*p + v. What is the units digit of (-48)\/(-264) - (p\/(-22) - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 87*i**2 + 179*i + 82. Give w(-89).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 8. Suppose 5*m + 20 = 0, 0*m = 2*b + m + 16. Let a be r(b). What is the units digit of (-2)\/(-4) - (-26)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75381.9049 to the nearest 10.\nAnswer: -75380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7524 + 15054 - 7543 + 129*g in the form x + b*g and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18194 + -12127. Let w = q - 3684. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 + -0.04. Suppose 6*h + 26*h = 64. Let v(z) = z**3 - z**2 - 5*z + 2. Let d be v(3). What is the second smallest value in s, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 i when three letters picked without replacement from rxaagsaasasisgxraaa?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 6410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = x - 553, 5*x = -5*m - 1692 + 4407. Suppose -6*t + x + 5222 = 0. Is 48 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8244440.\nAnswer: 2, 5, 79, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 56004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:01 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-22)*2 - 11\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 3:37 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131997 and 1679?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 4, -109 = -2*c - 2*a - 93 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 322606521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1007*a**3 + 2 - 2 - 16*a**2 - 1051*a**3 wrt a?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.580132743 and -840?\nAnswer: 839.419867257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z\/z**(-5\/8))\/((z*z**(-2\/3))\/z*(z**(2\/41)\/z)\/z))**(2\/13) assuming z is positive.\nAnswer: z**(913\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 - 2*w**2 - 24*w + 128. List the prime factors of p(11).\nAnswer: 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/63)\/(j\/((j*j**(-6\/13))\/j))*(j\/(j\/j**(-2\/67)*j))\/(j\/(j\/(((j\/(j\/((j\/j**(-8))\/j)*j*j))\/j*j)\/j)*j)) assuming j is positive.\nAnswer: j**(-357944\/54873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 - r + 4060. Let f be u(0). Suppose 0*b - f = -4*b. Suppose 5*q + 0*q - b = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -889, -1, 2, 4 in ascending order.\nAnswer: -889, -1, 0, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 - 9*g**2 + 8*g = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 - 4*x - 12. Let t be j(-5). Let r = t + -23. What is the least common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 + 3*b - 4*b**2 + 34*b**2 - 3*b wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 15 + 28 - 8 = n, 51*n + 10*w = 2*w - 56 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -30. Let k = 23 + l. Solve 10 = 2*b - 4*b - 4*i, -5*b - 2*i - k = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1275 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - 4*h**2)*(560*h - 560*h + 65*h**2) - 16*h**4 + h**4 + 16*h**4 + 7*h**2.\nAnswer: -129*h**4 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8627 and -11.6?\nAnswer: -100073.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -90611*k. Let t(n) = -4*n. Calculate l(t(v)).\nAnswer: 362444*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76.93 + -646380\nAnswer: -646456.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.013 = 7.93874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 8*y**3 + 9 + 6*y**3 - 11*y**3 - 10*y**3 + (-15*y**2 + 9 - 9)*(-y + y - 2*y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32527965*h**5 + 13561*h**2 + 306?\nAnswer: -1951677900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - -1) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (813857\/1205)\/307 + (-24)\/11.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67970 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1584 by 6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2\/4 - 880191*m\/4 - 220047 = 0. Calculate m.\nAnswer: -293396, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2))**(-17) assuming b is positive.\nAnswer: b**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 7, e: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7499000 rounded to the nearest one hundred thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 + 3250372*h\/5 + 650074\/5 = 0. Calculate h.\nAnswer: -325037, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:38 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-5) + (-2)\/5. Let r(o) = 2*o + 64. Let b be r(-31). Let n(k) = 11130*k**3 + 2*k**2 - 6 + 7*k - 8*k**b - 11129*k**3. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6832.2 - -6832.7. Let p = 23\/51 - 2\/17. Let i = -3 + 0. Sort p, i, l in decreasing order.\nAnswer: l, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173711, -173712, -173713, -173714?\nAnswer: -173715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose 3*j + 6 = 5*q - 2*q, -2*j + r*q - 19 = 0. Find the second derivative of -3*x - 7*x**4 + 7*x + j*x**4 wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22164675 divided by -3175.\nAnswer: 6981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6550979320?\nAnswer: 2, 5, 8297, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (728\/546)\/(20\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwlylylwwllwwl. Give prob of picking 1 y and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 463880745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(14\/9)*k**(3\/7)*k\/k**(2\/7))\/(k**(-5)*k**6)**(-12) assuming k is positive.\nAnswer: k**(1607\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3845121?\nAnswer: 3, 7, 283, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 5*b + l - 5, 5 = 5*b + l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8406*d**3 - d - 202*d**3 + d + 8325*d**3.\nAnswer: 16529*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 35 = 59. Let n be 76*(1 - 3\/h). Solve -4*m**4 - 3 - 18*m**2 - 13 + 4*m**5 + 16*m + n*m**2 - 20*m**3 = 0 for m.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(3 - (-60)\/(-16)). Suppose a = 3*d + 2*j - 5, -d = -5*j + 24. Solve d = -i - 3*i - 3*n, 7 = -3*i + 4*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -12. Suppose -n*c = -c. Suppose -5*r = 2*t - 371, 2*r - 140 = -c*r - 5*t. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 135046.6 kilometers?\nAnswer: 135046600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**11\/110880 + k**10\/50400 - 2*k**5\/15 - 8*k**2. Let w(l) be the third derivative of b(l). Factor w(g).\nAnswer: -3*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-363)\/44*8\/(-3). Let z = -20 + q. Suppose -58 = -z*i - 2. What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 4468. Let a be g(0). Let h = 3515 + a. Suppose -4*z - 2935 = -h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*j + 282 + 368 - 227 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1934648 - -2573081957\/1330. Calculate the common denominator of 53\/315 and t.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181721700 to the nearest 100000.\nAnswer: 181700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40979.786421 + -40794.78641947. Let n = b + -185. Round n to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 1:31 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*s = -4*p - 16832, 25230 = -3*p - 3*s. Let v = p + 117697\/14. Calculate the common denominator of v and -1\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*v - 263, -2*v = -3*t + 394 + 3. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -1 in decreasing order.\nAnswer: -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 936*d**4 + 2*d - 9791?\nAnswer: 3744*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76)*4 - -3*(sqrt(76) + sqrt(76)*2))\/(6*(sqrt(4) + (sqrt(64) - ((sqrt(64)*-1 - sqrt(64)) + sqrt(64))))*2)*-4)**2.\nAnswer: 19\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 1, b: 1, z: 4, l: 2}. Give prob of picking 1 i and 1 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 6\/11, 2\/13, -0.006?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2413049 and 2413047 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1816 and -5\/6.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 1. Calculate the remainder when (1 - (-3)\/(-2))*-84 is divided by t(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7745301323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931))**2 + 2 - (4 + sqrt(19) + -1 + 0).\nAnswer: -sqrt(19) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, 1\/2, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -124*l - 3899. Let j be d(-35). Are 447 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t**2 + 1 + 5*t**3 - 5*t**4 + 2*t**3 - 15*t**2 + 29*t**2 to the form v + u*t**3 + y*t**2 + o*t + x*t**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 15. What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let z be h(-5). Let n(f) = 9*f**2 - 9*f. Let k(x) = -44*x**2 + 44*x. Let o(d) = z*k(d) - 24*n(d). Find the second derivative of o(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*n + 29. Let y(j) = j**3 - 31*j**2 + 9*j - 12. Let d(s) = -5*s**2 - s. Let x(a) = -4*d(a) + y(a). List the prime factors of x(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m + 2*j + 20, 0 = 4*m + j - 25. Suppose m*b + 11004 = 33*b. List the prime factors of b.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923480.5497 plus 0.1799?\nAnswer: 923480.7296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5. Let n = 33 + -36. Let b(d) = -1. What is n*q(r) + 15*b(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 17 = s - 4*k, -3*s + 4*k = 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 30 = -2*i, -6*i = u - 9*i + 10. Suppose d + 8 = -u*t, 7*d - t - 52 = 3*d. Solve 6 + d = 9*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -73. Let y = 291 - m. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 60*u**2 - 192*u + 176.\nAnswer: -4*(u - 11)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - 1. Let f(u) = u**3 + 2*u**2 + 6*u - 2. Calculate f(b) - 2*s(b).\nAnswer: -b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.03 + 0.03. Let a be ((-2)\/3)\/(3\/18). Let q = -2.8 + 3. What is the second biggest value in f, a, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyxx when four letters picked without replacement from yyxxy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + -4*(sqrt(539) + -1)*-3*-4)**2 + -2.\nAnswer: -32928*sqrt(11) + 1244259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232081 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: Let v = 1 - 27. Let j = v + 2. Let z be (-78)\/j + 1\/(-4). Solve -z*f - 8 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 416. Let s be (24\/36)\/((-3)\/(-765)). Suppose -5*p + s = o, 3*o + l = 3*p + 4*o. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/((-324)\/(-17145)). Which is smaller: 33 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03564 and -779.\nAnswer: 27.76356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 smaller than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7598 and 97726?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556417947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-12)*16 + 112 is divided by (3\/(-6))\/((-3)\/210)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose 0 = -5*d - 3*f - 11 + 31, 20 = 5*d + 2*f. Let t be d\/(-22) + (-30)\/(-44). Which is the nearest to 1? (a) l (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 6*o**2 + 3. Let v(s) = s**2 + s. Let w be v(2). Suppose 3*k = 2*k - w. What is the units digit of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.83, -4, -2\/3, 0.1 in increasing order.\nAnswer: -4, -2\/3, 0.1, 0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1330, 6 in decreasing order.\nAnswer: 6, -2, -1330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3102 by -26.\nAnswer: 1551\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266\/(-228)*(-6)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:11 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -28\/50311 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -307.68 - -288.68. Sort 2, 3, d, -149 in decreasing order.\nAnswer: 3, 2, d, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*x = -90*x + 5. Let o(p) = p**3 - 8*p**2 + p - 5. Calculate the smallest common multiple of x and o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-23 - (15 - (-7 + 11))) - 1) + 8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1540*b**3 + 746*b**3 + 753*b**3 + (-b**2 + b - b)*(2*b + 0*b - 3*b) + (b - b + 2*b)*(-13*b**2 + 7*b**2 - 9*b**2).\nAnswer: -70*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4 + 66*t**3 - 1449*t**2 - 12204*t - 10692 = 0.\nAnswer: -33, -6, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*s + 36, -3*s + 3 = -6. Let r(x) = x - 6. Let w be r(q). Is (-3)\/w - (-3640)\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - 8) + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/45 in 1130, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*d - 51138, 0*d - z + 51154 = 5*d. List the prime factors of d.\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312 + -309. What is the second derivative of -14*l**4 - 7*l**4 - 69*l + 34*l**4 - 16*l**4 - l**3 - 8*l**w wrt l?\nAnswer: -36*l**2 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Let t(v) = 13 - 14 - v**i + 0*v**2 - v. Let q(r) = 2*r - 2*r**3 + 1 + 5 - 4 + 5*r**2. Calculate -q(l) - 2*t(l).\nAnswer: 2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*o - o. Sort o, 7, -1, -4 in ascending order.\nAnswer: -4, -1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = s - 4. Suppose 12*b - 458 = -s. What is the highest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81106 less than -3.9644?\nAnswer: -81109.9644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 43 + 32. Suppose 4 = 5*c - 4*c. Suppose -1 - 7 = -c*d. Solve -2*x - 6 = -d*y, -5*x + 8 = -4*y + o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i - 19*i**5 + 9*i - 3*i wrt i.\nAnswer: -380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 1)*(2*g - 2 + 2) + 0 + 0 + g)*(2*g**2 - g**2 - 2*g**2) + (3*g**3 + 3*g**2 - 3*g**2)*(-7 - 2 - 21).\nAnswer: -89*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 105158820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 n when three letters picked without replacement from {n: 4, z: 4, b: 1, a: 1, u: 4, e: 1}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*a - 139*a - 24 = 0. Let u(b) = -3*b + 5. Let y(n) = 8*n - 12. Determine a*u(k) + 5*y(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*b + 6*r + 21, -35 = -5*b + 5*r. Calculate the remainder when (b\/6)\/(-1 + 2112\/2106) is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11033 is divided by 96.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.075 (b) -0.2 (c) 0.08 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -736*a**2 + 367*a**2 + 17 + 369*a**2 - 92*a**3 wrt a?\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -14, 5, -2 in decreasing order.\nAnswer: 5, 3, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**31\/q**(-20\/3))\/(q**(-4\/11)*q**(1\/42)) assuming q is positive.\nAnswer: q**(5853\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 80*x + 10. Let h be g(2). Let t = h + -168. What is the highest common factor of 8 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681624 to the power of 1\/2, to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/12 + 2395*t**4\/12 + 1147205*t**3\/6 + 549511195*t**2\/6 - 1104*t. Factor h(x).\nAnswer: 5*(x + 479)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110202 (base 3) to base 9\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219394817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + -160. Suppose 72 - j = -5*t. Let i = -98 - -163. What is the highest common divisor of t and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1298 divided by 118.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {s: 4, v: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = -3. Suppose -2*u + 5 - t = 0. Let r be u\/(-4) + 2\/(-2). What is the nearest to -1 in -0.4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139129*c**3\/2 + 164594083*c**2\/2 - 2647572*c + 21294.\nAnswer: -(c - 1183)*(373*c - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11856 = -1027*s + 403*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145211918 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 63*n**2 - 85*n**2 - 60*n**2.\nAnswer: -208*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prqsn. What is prob of sequence rnqp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 15*k**2 - 13*k - 11. Let o be ((-21)\/4)\/(6\/(-16)). Let n be p(o). Suppose -n*v + 42 = -15. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o - 3*o)*((-3 + 3 + o)*(-4 - 3 + 6) + 6*o + o - 4*o + o + 0*o + 0*o + o + 0*o - 2*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -50. What is the highest common factor of d and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 4}. What is prob of picking 1 e and 2 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25762 + -25761.94. What is the third smallest value in z, 0, -316?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -5*h + 3, 3*h + 3*w = 6. Let r(v) = -v**2 + h*v**2 + 4*v**3 - 2*v**2 + 0*v**2 + v. List the prime factors of r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147\/355 + -1\/71. Let u = -460 + 460.3. Put z, 1\/7, -1, u in decreasing order.\nAnswer: z, u, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 69, 162, 281?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/5, -284\/63?\nAnswer: -284\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 82 = 12*f + 21, -4*f - 51 = -71 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t - 35*t + 395 - 32*t + 126*t - 30*t to d + m*t and give d.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.5493 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 4. Let s be o(4). Suppose 0 = -3*c - s*c + 9. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1038 divided by -5111\nAnswer: -1038\/5111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-1))\/(13 + (-10 - (-42)\/(-12)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b76d - 23?\nAnswer: 4b74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = a. Suppose -2*p**5 - p**4 + p**2 - 3*p**5 + a*p**5 + p**3 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 13883067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.45 (b) -2 (c) -6 (d) 1215.9 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**8\/168 + 4381*g**6\/120 - g**5\/10 + g**4\/6 + 2*g**3 - 11116*g**2. What is the third derivative of h(o) wrt o?\nAnswer: 120*o**2 + 26286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:36 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197772288.\nAnswer: 2, 3, 7, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 223 in 1, -2\/3, -609, 0, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4184 + -2362. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or 12\/386257?\nAnswer: 12\/386257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/9 - 180*g + 72900.\nAnswer: (g - 810)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32410 + 141?\nAnswer: 32551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auaurxauuuaauxxrar. Give prob of picking 2 a.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + 3. Is 1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/90*9)\/(5\/30)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 12. Let b(z) = -5*z + 160. Let w be b(32). Calculate c(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (11 + 1 + -38).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 107*i**2 - 5. Let n be r(4). Suppose 0 = q + 2*c - n, 4*q + 0*q - 6841 = 5*c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxfk when four letters picked without replacement from {k: 5, s: 5, f: 1, d: 6, x: 3}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112390 and 1175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -22 (c) -1 (d) -5 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -443, -649, -857, -1067?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003295.746 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37979 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6615 - -6618. Let o = -3 - -3.2. Let p = -0.8 - 3.2. What is the smallest value in p, f, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376693.68 minus 34376?\nAnswer: 342317.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 46. Let f = -20 - c. Solve f = -4*b - 5*n - 35 - 5, -4*b - 16 = -n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 33. Which is greater: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5047375 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.671358t to nanograms.\nAnswer: 4671358000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 756 = -17*f. What is the greatest common factor of f and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*n + 1930*n + 53670 = 0 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*i = 14, 5*x + 469*i = 470*i - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/9)*r**1*r)**(1\/5)\/(r**(-1\/2)\/r*r\/(r*(r\/(r*(r\/(r**(-7)*r))\/r))\/r*r)*(r\/r**(-9))\/r**4) assuming r is positive.\nAnswer: r**(-901\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 570 - 1143 + 3*q + 573. Let t(c) = 2*c - 2. Give t(k(i)).\nAnswer: 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 12. Let q be u(-3). Suppose -3*r + 3 = j, j - 4 = 2*r - q*r. Is j equal to -1\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 + n - 2. Let o be i(7). Suppose 5*j + o - 35 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 0)*(-8 + 11 + 21)*(-150*z**2 + 150*z**2 + 101*z**2) to u*z**2 + c*z + r and give u.\nAnswer: -9696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*a + 14 = -13, -4*k = -a + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.893691 to 2 dps.\nAnswer: 84.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192960541.\nAnswer: 163, 673, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6527.969 - 6528. Put z, 7, 4, -0.1 in increasing order.\nAnswer: -0.1, z, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-8 - (2 - 16)) - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 6*(-1 + (-50)\/18)*-3?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -18. What is the nearest to 2\/7 in 0.3, 0.2, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430852 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9423\/2 or -5252?\nAnswer: -5252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42805 is divided by 20991.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + f - 3. Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q - 8 = 0. Suppose -q*f - 4 = -6*f. Suppose -3*o + 8 + 0 = -2*h, f*o = -4*h. Solve o = -2*z + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -938*t - 929*t + 1738*t - 1161 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-7))\/(1\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2. Let n(k) = k + 5. Let s(h) = 10*c(h) - 4*n(h). Let a(w) = 7*w**2. Give s(a(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + 34\/36. Let j be 6\/14*(-2)\/(-3). Let q = -73 - -80. Which is the nearest to j? (a) q (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57335*m**2 - 14872*m.\nAnswer: -114670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/217503 and -17\/138411.\nAnswer: 1522521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -17256?\nAnswer: -77\/8628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 371*p - 195*p - 5 + 373*p + 5.\nAnswer: 549*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032367 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:16 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.517528 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4916 + 4*b + 4916.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 40. Let k(r) = 10*r - 27. Is 36 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -82. Let v = -39 - w. Let s(f) = -f**2 + f + 242. Let q be s(0). Calculate the highest common factor of v and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(11) + 1)**2 - sqrt(44)\/(sqrt(4) + (1*sqrt(4) - sqrt(4)))).\nAnswer: -16 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111101000 (base 2) to base 8.\nAnswer: -7750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + 2)\/((4 + 9)\/(132\/(-54))) and -127\/30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*b**3 - 1905 + 62 - 98*b**3.\nAnswer: -2*b**3 - 1843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10 = -1. Let f be 2\/6 + (-8)\/z. Suppose 2*u - f = 1. Solve 5*x = -4*h - 7, -u*x + x - 11 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, t: 2, g: 1, f: 5, v: 3, n: 4}. What is prob of picking 2 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/52013 and 83\/416?\nAnswer: 1664416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566 + -489. Calculate the highest common divisor of 49 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 918 - 916. Suppose 2*h = o*u + 3*h - 57, 5*h = 5. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3*j*j**2\/j*j)\/(j*j**(-3\/5)*j*j*j**4*j))**(-25))**(-3) assuming j is positive.\nAnswer: j**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1386 and 756?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (9 - (3 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 417?\nAnswer: 32526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-16)*(18\/(-3) - (3 - 29)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 368 = 2*r, 0*b = 4*r - 2*b - 732. Let i = -179 + r. Let c(y) = 34*y**2 + 3*y + 2. What is the smallest common multiple of c(-1) and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 273 = 330 - 547 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52681017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:52 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 5*w)*(-w + w - 2*w**2) - w**3 - w**3 + w**3 + (-w**2 + 2*w**2 - 2*w**2)*(499 - 39*w - 499).\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3be810 (base 15) to base 8\nAnswer: 13000741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:25 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 2*y + 5. Let j be o(0). Let p be (1*541474 - -2)*j\/10. Let f = p + 129262. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)**(-17)\/(y\/(y\/y**(-2\/7))*y)**(-18))**8 assuming y is positive.\nAnswer: y**(6456\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/6 + 559*x**2\/6 - 1439856*x = 0.\nAnswer: -3232, 0, 2673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30303452 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + l = -33, -28*l + 27*l - 5 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-140)\/6)\/7. What is the third biggest value in 0, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -5*g + 53 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 21. Suppose -5*j = -3*j + 24. Let i = j + 21. Calculate the remainder when s is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/25 - -34\/75. Let p(d) = -2*d**3 - d**2 - d. Let j be p(-1). Suppose -4*l + 9 = -7*l. Which is the third biggest value? (a) l (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 - 0.07. Let g = k - -0.1. Sort -0.1, g, -3.\nAnswer: -3, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-9) + 60\/(-12) + -1)*7\/49?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 381 - 5*o**2 - 206 - 172 + o**3. Let j(f) = -2*f + 17. Let c be j(6). Calculate n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*s + 6, 5*s + 3*j - 6 = 2*j. Let k be -2*3\/(-2) + s. Suppose -14 = -k*h + 62. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46612\/5 + -9322. Which is the nearest to -0.1? (a) -0.1 (b) -0.008 (c) j (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8452 + 3562 = 0. Round l to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60774 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**8\/140 + l**5\/30 + 20*l**3\/3 - 3. Let h(t) be the third derivative of i(t). What is the second derivative of h(g) wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47357 and 1334.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 115, 177, 239, 301, 363?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-14) - 4\/(-14). Factor 48*b**2 + 6 + 31*b + b**5 + 42*b**l + 3*b**5 - 4*b - b**5 + 18*b**4.\nAnswer: 3*(b + 1)**4*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -46. Suppose 100 = -j*b + 2*b. Let q be (24\/b)\/(27\/(-120))*6. What is the highest common divisor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138497111?\nAnswer: 5557, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from qqttqqeeqqqq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.98 - 23.02. Put -3, 0.5, m, 2 in ascending order.\nAnswer: m, -3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 2*n. Let a = 0.644 - 526.644. Let b = -523 - a. What is the closest to 0.2 in -0.5, n, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.867095m to centimeters.\nAnswer: 386.7095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/274 and -65\/14796.\nAnswer: 14796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392465?\nAnswer: 5, 53, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + -6. Let n = q - -19.5. Suppose 3*u = 5*g - 25, 2*g + 3*g - 15 = u. Which is the biggest value? (a) 1\/3 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**6\/10 - 63*o**5\/5 - 8721*o**4\/20 - 7799*o**3\/5 + 612*o**2\/5 + 31212*o\/5 - 3639. Suppose f(c) = 0. Calculate c.\nAnswer: -51, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 316986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(0 + 5 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-2)\/(-7) - 15\/(-21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:33 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*(-1287)\/(-572)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v - 6*v. Suppose 0 = -4*t + a - 8 + 27, a = v. Suppose -s = -5*p - 3, 2*s - 3*s - t*p + 3 = 0. Put 5, -5, s in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 280265 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2279, 2376, 2639, 3152, 3999, 5264?\nAnswer: 7031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169385 (base 12) to base 2.\nAnswer: 1011111000011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h + 22*h + 26*h - 80*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Solve -x = x + 5*v - 12, -v = -5*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -db?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l - 12*l**4 + 391 - 370 + 52*l**4. Let n(v) = 13*v**4 + 4*v + 7. Let r(w) = -6*k(w) + 17*n(w). What is the second derivative of r(z) wrt z?\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 19*b + 21. Calculate f(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.44, -137\/9, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 + 4*v - 7. Determine n(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-12488)\/133 - ((-16)\/12)\/(228\/18).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqyyyyqpzyysqqozsqs. Give prob of picking 1 q and 2 z.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + 2*y - 3*y)*(0 + 0 - 2) + 3*y - 7*y + 3*y + 5 + 3*y - 5)*(-1 - 2 + 4).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/12)\/((-1)\/(-4)). Suppose -14*w = -t*w - 216. Let i = w - 386. What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/72 - 9\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 9*q**2 - 7*q + 1. Let r be p(-8). Let u be (0 + 0)\/(-6 - r). Suppose -f + u = -9. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, -3\/65, 0.3, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (1 - 2))*-1. Let h(j) = 4*j - 4. Let g be h(2). Let r(o) = -o**3 + 4*o**2 + o - 5. Let w be r(g). Are k and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*y**3 - 47*y**3 - 45*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.6541 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5438368 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + m - 1. Let o(d) = 4*d + 3 - 10*d - 4*d**3 + 7*d**2 + 5*d - 4*d**2. What is -o(a) - 3*s(a)?\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*q, -2*v - 8 = -4*q - 6*v. Suppose -3*b = 6, -q*m + 90 = 2*b - 7*b. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49416, 49512, 49596, 49662, 49704, 49716, 49692?\n\"Answer: -a**3 + 103*a + 49314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1, 531 in decreasing order.\nAnswer: 531, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7885214 divided by 9931?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k + 183. Let v be m(21). Let g be 6\/4*(20\/6)\/(-5). Sort g, v, 2, -3.\nAnswer: v, -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22 - 38*(-69)\/506?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 2}. Give prob of sequence hgg.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1605 * 1627.\nAnswer: 261.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times 26\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (389 - -43) + 1*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/15)\/((-2)\/(-12)) + 12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13*1 + -86 + 103. Let p be (-72)\/(-126)*(-35)\/(-2). Which is the smallest value? (a) k (b) -3 (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3865, 15460, 34785, 61840?\n\"Answer: 3865*r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13*(w\/(w\/(w*((w\/w**(3\/11))\/w)\/w)))\/w)\/((w*w*w**(-15))\/(w**(-22)*w)) assuming w is positive.\nAnswer: w**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15 = 5*g - 10, -5*p + 3*g = 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/2 and 67\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6)*r**(6\/7)*(r**(2\/13))**(-3\/11) assuming r is positive.\nAnswer: r**(-5190\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 116, -400, -896, -1366, -1804, -2204?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 653\/15 - 644\/15. Let m*f - 6\/5 + 3\/5*f**2 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10611 = -43*i - 316*i + 18918 + 20054 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5\/(50\/(-40)) + 374 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4424.951 - -4429. Let f = 0.049 - k. Which is the closest to -0.2? (a) f (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67925443 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 6*i + 0*i**3 + 0*i**3 + (4*i**2 - 5*i**2 + 3*i**2)*(3*i - 5*i + i) as s*i**3 + w + l*i + a*i**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-11 - -38) + -7 + -106?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1\/2, 1144?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 165. Let w = l - 60. Solve 3*h = 2 + w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {z: 2, j: 5, x: 3, g: 2}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*y + 12 = y, 33 = 4*o + y. What is the third derivative of o*v**5 + 24*v**2 + 23*v**5 + v**3 - v**3 wrt v?\nAnswer: 1860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 51333*n + 51334.\nAnswer: -(n - 51334)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**5\/10 + q**4\/6 - 4*q - 1. Let m(t) be the first derivative of p(t). Factor m(o).\nAnswer: -2*o**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285497 to the power of 1\/2, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -21. Let p(a) = -4*a - w - 3 - 4*a + 2. What is the units digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 28*b = 75*b. Solve 5*j - 4*g + 23 = b, 0 = 4*j - 4*g - g + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**2 + 2*j + 2. Let v(o) = -56*o**2 + 16*o + 17. Calculate 51*a(w) - 6*v(w).\nAnswer: -21*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + (-5)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z - 2. Let o(q) = -4*q. What is h(o(w))?\nAnswer: 28*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -487.0736 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124390 rounded to the nearest 1000?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 9*z + 10. Let a be j(-7). Let k(w) = w + 3. Let q be k(a). What are the prime factors of q\/(-3) + 35\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f + 7. Suppose 5*m + i - 297 = 217, 3*m = -3*i + 294. Calculate the greatest common divisor of m and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 6*f**5\/11 + 960*f**4\/11 + 44742*f**3\/11 + 547644*f**2\/11 - 1428048*f\/11 - 1931904\/11 = 0.\nAnswer: -86, -52, -24, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2*(-1 - 0). Suppose -340 = v*t + 5*i, 3*i = -0*t + t + 104. Let o be (-3)\/(-15) - (-2)\/t. Are -1 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -209.531.\nAnswer: -2.09531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/7 in -0.5, 0.4, -403098?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233102 + -11?\nAnswer: 233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259544079?\nAnswer: 3, 157, 183683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2629, 5257, 7883, 10507, 13129, 15749?\nAnswer: 18367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {w: 1, l: 4, h: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130902 is divided by 975?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.52 + -0.02. Let x = -5 + 4. Let u = h + x. Which is the biggest value? (a) 5 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1221.8424254 and -1.\nAnswer: 1220.8424254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283212.\nAnswer: 2, 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = -3. Let t be 42\/(-68) + (-1)\/(-2). What is the biggest value in 4, t, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*s**3 - 81*s**3 - 37*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 10*q + 52. Let y be v(-8). Solve 3*a = y*t + 1, 0*a + a + 4 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 68. Suppose -2*q = -0*q + 4*u, -q + 16 = -b*u. Solve 2*v + q = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-2))\/((-1242)\/276))\/(6\/99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 8*y + 7. Let i be x(-8). Solve -i = u - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3822183.\nAnswer: 3, 424687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/7 + ((-6)\/21)\/1. Let v be -550*(0 - (2 + x)). What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/69)*(q**(-11)\/q)\/q*((q\/q**(2\/31))\/q)**(-3) assuming q is positive.\nAnswer: q**(-27455\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -1, 13 in descending order.\nAnswer: 13, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - b + 3*b = -1 + 13, 0 = 21*b - 16*b for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - d - 0, -9 = -b - 2*d. Let t be -2 - b*(-23 - 3). Let i(q) = -11 + q - 10 - 6 + t. What is i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7 - -9) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:57 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -47*a**2 - 2*a + 5. Let d be c(-4). Let p = 2267 - 3973. Let w = d - p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306801941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15f32a (base 16) to base 12.\nAnswer: 594576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5824.3*0.14\nAnswer: 815.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8862 * 5.\nAnswer: -14.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 9. Let r(c) = c**2 + 10*c + 6. Let v be r(-6). Let z = -16 - v. Let p be (0\/(-4))\/(z\/(-1)). Give a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**5\/3 + 170*s**4\/3 + 424*s**3\/3 + 464*s**2\/3 + 208*s\/3 + 32\/3.\nAnswer: (s + 2)**3*(5*s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -3 - ((-2)\/1 + -1). Let y = 0 + 0.1. Which is the third biggest value? (a) y (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 499*o**2 - 2*o + 2. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -891*o - 179. Let f = -177 - -173. Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1001.135 - -951. Let t = 50 + m. What is t rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(1 - 5*f - 8*f + 7*f).\nAnswer: -12*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -573 + 34381\/60. Let w(i) be the third derivative of 0 + 1\/6*i**3 + 0*i**5 + 0*i + 1\/12*i**4 + 2*i**2 - o*i**6 - 1\/210*i**7. Solve w(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4\/103?\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 2*u - 4. Let y(f) = 6*f**2 - 4*f - 9. What is -5*a(t) + 2*y(t)?\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-4\/19)\/l)))\/l)\/((l**22*l)\/l) assuming l is positive.\nAnswer: l**(-460\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 - 48*z + 85. Let b(h) = h**3 + 5*h**2 + 49*h - 87. Let r(x) = 4*b(x) + 5*o(x). What is the first derivative of r(t) wrt t?\nAnswer: -3*t**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*y - n + 9 = 45, 0 = 5*n - 20 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -5 (c) -52 (d) 0 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313 + 1374. Find the second derivative of -85*h**4 - 1298*h + s*h - h**3 + h**3 wrt h.\nAnswer: -1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:40 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*s - 17*s**5 + 21*s**4 - 35*s**4 + 14*s**4 wrt s?\nAnswer: -340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.94 + 30.94. Which is the third smallest value? (a) n (b) 3 (c) 0 (d) 4\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -13*i - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133821381.\nAnswer: 3, 59, 756053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0 (b) -20 (c) 89569 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233284699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8998 + 10252 = 550*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 3*u**2 + 2*u + 2. Let d be j(-2). Let 4\/5*i**d - 2\/5 + 2\/5*i = 0. What is i?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*q + 6788573*b**2 + 7*b*q + 485426*q - 149 with respect to b.\nAnswer: -2*b*q + 13577146*b + 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.04 (c) 2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-2)\/5)\/((-8)\/(-2))*(-4)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2513050\/9?\nAnswer: -2513050\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((-41)\/287)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 47257942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3055 (base 7) to base 10.\nAnswer: -1069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f**2 + 0*f**2)*(3*f + 4*f - 6*f) + 2*f**3 - f**3 + f**3 + 1 - 2 + 7*f**3 + 400*f**2 - 404*f**2.\nAnswer: 11*f**3 - 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.4 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -1aa17?\nAnswer: -1aa1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -5 + 243. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*(-6)\/(-4). Solve -4*i = f + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4 + 2*b**3*k + 355*b**3 - 61*b**2*k - 2*b**2 - 2*b*k wrt b.\nAnswer: 48*b + 12*k + 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-28))\/(6\/10))\/((-318)\/371)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + f = 114 + 46, 0 = 4*w - 2*f - 114. Let k = -16 + w. Calculate the remainder when 44 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r + 2. Let y(l) = 20*l + 5. Let d(o) = 5*k(o) - 3*y(o). Let z(h) = -h**2 - h**2 + 3 - 3. Determine z(d(q)).\nAnswer: -50*q**2 - 100*q - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2469750, -2469760, -2469774, -2469792?\n\"Answer: -2*r**2 - 4*r - 2469744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*4*2)\/(sqrt(60)\/(4*sqrt(6))).\nAnswer: 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12443 (base 6) to base 2\nAnswer: -11101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 55. Let i be z(19). Let m be (4464\/1320)\/(i\/10). Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 2*(sqrt(78) + sqrt(78)*-3) - sqrt(78) - -3*-1*sqrt(78))\/(-5*(sqrt(30)\/(-1*sqrt(5)) - -5*(1*sqrt(6) + sqrt(6)))))**2.\nAnswer: 637\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(527 - 529 - 6*b**3 - b - 33*b**3) - 4*b**3 + 5*b**3 + 0*b**3 as w*b + i*b**3 + h*b**2 + q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1389, 1437, 1517, 1629, 1773, 1949?\n\"Answer: 16*l**2 + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/27 + 22\/(-18). Is 23 a factor of 3 + 2424\/18 + j\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2449333014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22631 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let m(x) = -3*x. Let p = -10 + 4. Let z(s) = p*y(s) - m(s). Let g(v) be the first derivative of v**2\/2 - 2. Calculate z(g(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d + 12. Let y(z) = -38*z + 33. Let l(m) = 11*c(m) - 4*y(m). Let h(t) = -100*t. Give h(l(f)).\nAnswer: 200*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (3213\/255)\/((-3)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 6 (c) 0.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000189374 to seven dps.\nAnswer: -0.0001894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3*s + 1. Let z(q) = 2*q**2 + 49*q + 119. Let w be z(-21). Let x be 21 + w - 2*-2. Determine c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 6. Let z(a) = -a - 6. Let t(f) = -3*v(f) - 4*z(f). Let c(j) be the third derivative of -j**5\/60 - 2083*j**2. Calculate t(c(d)).\nAnswer: 2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:10 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/13, 0.1, -3056 in decreasing order.\nAnswer: 0.1, 0, -2\/13, -3056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -106042, -213928, -321812, -429694, -537574?\n\"Answer: p**2 - 107889*p + 1846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 86. Suppose i - 23 = 10*g. Solve -2*f + b + 0*b + g = 0, 8 = -3*f + 5*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 - 10*w - 23. Let k be u(-7). Sort -3, 108, k, 4.\nAnswer: -3, k, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 + 20 = 0. Let g(m) be the third derivative of -2*m**2 - 1\/12*m**i + 0 + 0*m + 1\/30*m**5 + 0*m**3. Find the second derivative of g(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*w + 3 = -618*w - 2*s, 2*w - 18 = 4*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 85 - 42)*(4 + 0 - 2 + a) - 2 + 3 - a + 2*a.\nAnswer: 183*a + 365","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 692384 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5038786, 10077540, 15116294?\n\"Answer: 5038754*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -38. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3855 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -50 (c) 0 (d) -0.1 (e) 4 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27800259 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11788250*i**3*u + 2*i**2*u - 3*i**2 + 77*i*u + 17*i + 3*u - 134 wrt i?\nAnswer: 70729500*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 3\/2 (c) -14 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/20*g**5 + 5*g**2 + 0*g - 8*g**3 + 0 + g**4. Determine u so that x(u) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 + 16. What is t in -3*t**3 - 2*t + 8*t**3 - 3*t**3 + 4*t**3 + a*t**2 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.275 + -6. Let s = v + -17.232. Let w = s - -17. Round w to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 - 5*h**3 + 1\/12*h**4 + 68*h + 225\/2*h**2. Factor o(b).\nAnswer: (b - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196682 or 2753561\/14?\nAnswer: 2753561\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 6*q**2 - 2*q + 1. Let n = -44 + 42. Let y be -8 + (-2 + n)\/4. Let t = -3 - y. Give d(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 168 + 182. Let r(x) = -2*x - 7. Let b be r(-6). Solve 2*o - 12 = -4*l, -2*l - u = 2*o - b*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4))\/(r\/(r**(-8)*r)*r))\/(r**(1\/4))**33 assuming r is positive.\nAnswer: r**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -2, -22\/71, 0.06, 0.5?\nAnswer: -22\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/2, 4\/7, -1.619, 6, 0.4, 3?\nAnswer: -1.619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 3 - 3 - 32) + 27.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 80462*l**2 + 80467*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + (-2 + 2 + 1)*(0 + 1 + 1))*(-5*k**2 + 4*k**2 + 0*k**2) - k**2 - 6*k**2 - 4*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6)*l*l*l**5)**32\/((l**1*l**(-1\/7))\/(l\/(l*l**(-2\/5)))**(-1\/4)) assuming l is positive.\nAnswer: l**(4413\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-6) - (-2)\/(-6). Suppose -5*v - 5*z = -170, 0*z - 80 = -2*v + 4*z. What is the highest common divisor of v and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13980804 or -13980805?\nAnswer: -13980805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) 2 (c) 0.34 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27837 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*1.448\nAnswer: -5.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 5 - 5)*(7*p**3 - 18*p - 9*p**3 + 6*p).\nAnswer: -12*p**4 - 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m, -4*w + 20836 = -2*m - 78750. What are the prime factors of w?\nAnswer: 2, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185870 is divided by 704?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 + 3*i**2 - 132*i + 9. Let a(g) = -2*g**3 + g**2 + g + 3. Calculate 3*a(s) - y(s).\nAnswer: -2*s**3 + 135*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 230 + 1616. Let o = 540 + b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and -14324.078.\nAnswer: -14323.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -7 (b) 0.1 (c) -5 (d) 1555 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -71, -1, 1, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3878929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1050 + -1049. Let z = 20 + -35. Let c be z\/(-9) + (-1)\/(-3). Solve -p - 3 = c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.357683 centimeters in kilometers?\nAnswer: 0.00008357683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/13 in -4, 2, 1166, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 36. Let l be g(-17). Suppose -2*h = 3*i - 8, -6 + 28 = -3*h + 4*i. Let a = l - h. Solve -3*f + 1 - 4 = -3*m, 3*f = a*m - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7854 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 + 29*n + 4. Let u(q) = -q**2 - q + 1. Give -s(a) + 5*u(a).\nAnswer: a**2 - 34*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001230303536 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t + 33 + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (820 - 1582 - 2554)*(2*w + w - 2*w).\nAnswer: -3316*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13163*t**3 + 12347*t**3 - 26802*t**3.\nAnswer: -1292*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*j - 224 - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 91*k = 96*k - 25, -15*g - 4*k + 20 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23729 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 = 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -162*v - 12805. Calculate m(-79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -0.01, -0.2.\nAnswer: -0.2, -0.01, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*p - 5 + 8, -3*p = -3*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.06 + 14. Let k = -1.94 + s. Let a = -55 - -441\/8. Put 0.1, a, k in descending order.\nAnswer: a, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -0.1, 0.84 in ascending order.\nAnswer: -1, -0.1, 0.1, 0.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -48734280*p. Let f(t) = 4*t. What is k(f(o))?\nAnswer: -194937120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127495 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/2885?\nAnswer: -9\/2885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4762.812 + -4771. Round b to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/4*36*142\/(-9585)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/(-24))\/(4\/(-6)). Suppose 0 = -2*b - 4*d + c, -5*b + 5*d - 29 = 11. Find the common denominator of 37\/2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 3*g**2 - 10*g + 8. Let v = 121 - 120. Let s(b) = -b**2 - b + 1. Let z(d) = v*t(d) - 3*s(d). What is z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 3*w - 2*w. Suppose 0 = -51*g + 22*g + 232. Let i(a) = g*a + 25*a - 51*a. Determine i(v(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27423479.6 take away -0.0307?\nAnswer: -27423479.5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16.3 times -0.029\nAnswer: -0.4727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -1 (c) -0.2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 66. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 + 587. Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 16. Let p be l(-4). Suppose p = -s - 2*s + 15. What is the biggest value in 0.4, s, -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9208 is divided by 152.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 6922.\nAnswer: 27688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + v**4 - 4*v + (v - 1 + 2 + 0)*(43*v**2 - 2*v - 40*v**2 + v)*(9 - 9 + 3*v) in the form f*v**2 + h*v + d + j*v**3 + g*v**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:14 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441 equal to 3442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*v**4 + 10670*v**3 - 629655*v**2 - 30377300*v + 161198420 = 0. Calculate v.\nAnswer: -34, 34\/7, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510*-40181.\nAnswer: -20492310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 8. Let i be (c\/(-4))\/((-6)\/(-1272)). Suppose -4*b - q + i = 0, -55 = -5*b - 6*q + q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45735470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-30) - (-264)\/(-330).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 6*c - 3 - 9)*(0 - 2 - 1) in the form d*c + w and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from ccttbbccccc.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 169, 323, 475, 625, 773, 919?\n\"Answer: -z**2 + 157*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*(-7 - (-9 + 4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2429*t**5 + 41*t**2 wrt t?\nAnswer: -145740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*h + 3*d, 145 = 4*d + 145 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + (9 - 7) - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + (735 - 5). Let x = 1100 - y. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -2\/7 (c) 0 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, 23, 29, -53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -304*s - 3444. Is 7 a factor of w(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(66\/(-4)) - (-40)\/(-22). Let k be (-2 - (-3 - 6\/r)) + -1. What is the smallest value in 0.03, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17\/106 (b) -2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 - 1704*n**2 + 10548*n + 123984 = 0.\nAnswer: -574, -6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21538 + -21530. Which is the second smallest value? (a) 5 (b) u (c) 2 (d) -1.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6823, 13647, 20471, 27295, 34119?\nAnswer: 40943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*d**4 + 125*d**3 - 3*d**2 + d + 1843 wrt d?\nAnswer: -852*d**2 + 750*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = v, -2*v - 4*b - b + 41 = 0. Let h(r) = -7*r. Calculate the remainder when ((-492)\/v)\/((-4)\/6) is divided by h(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920 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: Expand q**3 - 3*q**3 + 4*q**3 + ((2 + 1 - 5)*(-2 - 2 + 5) + 3 - 8 - 1)*(-9*q - 3*q - 3*q)*(-4*q**2 + 3*q**2 + 0*q**2).\nAnswer: -118*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 43\/5, 2, -1 in descending order.\nAnswer: 43\/5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9037615 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**7\/630 + p**6\/1080 + p**5\/90 + p**4\/12 - 3*p**2. Let r(h) be the second derivative of d(h). Suppose r(g) = 0. What is g?\nAnswer: -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*m + 11363, 61*m = 4*u + 57*m - 15140. Calculate the remainder when u is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let w(g) = 319*g. Calculate w(s(x)).\nAnswer: -319*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k - 9. Let h = -8 - -8. Let j be v(h). List the prime factors of (j - -1)*(-6)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 53 - 21 + v**2 + 17*v**3 + 64 wrt v.\nAnswer: -120*v**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976430?\nAnswer: 2, 5, 7, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.081 (b) 1 (c) 49.35371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(833) + 1 - (2 + sqrt(68)\/sqrt(4))).\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -32\/3, 1\/3, -0.5?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/900*3\/(12\/530) - (-750)\/2500.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:39 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:20 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 4*s**2 + 9*s + 20. Let r be d(-3). Suppose 185*b**3 + 15*b**3 + 73*b**2 - 78*b + 287*b**r + 23 - 19 = 0. Calculate b.\nAnswer: -2, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-18)\/21)\/((-2)\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9730 and 4309.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289 + -289. What is the second smallest value in -12, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 417*b - 422*b - 2*i, i + 4 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:11 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 2*z**3 + 2*z**3)*(2*z + 2*z - 3*z) + 3*z**2 - 3*z**2 + 4*z**5 + z**5 + 211 - 3*z**5 - 210 + 10*z**3.\nAnswer: 4*z**5 + 10*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/95 < 2079\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1067 and -4.8123?\nAnswer: 5134.7241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d**2 - d + 1. Let m be z(-2). Let o = 51 + m. Suppose -y = -6*y + o. What is the greatest common divisor of y and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -576680725 to the nearest one hundred thousand.\nAnswer: -576700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 19*o**3\/6 + 69*o**2\/2 + 2489*o. Give b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1977850, 1977853, 1977856, 1977859?\n\"Answer: 3*d + 1977847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1884 times -1?\nAnswer: -0.1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 26 = 4*h - 5*h, 5*n = 4*h - 140. Let m = 8 - 8. Suppose -2*p + 6*p - 44 = m. Calculate the remainder when h is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8652)\/(-6))\/(4\/8). What is the common denominator of 4\/6 + 226\/12 and (-2 - 6\/(-4))*p\/(-84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**(14\/13)*q**(1\/2)*q**0)\/((q\/(q\/((q*q**(-1\/3)\/q)\/q)))**(13\/3)\/(q**(-1\/10)\/(q\/(q*q*q*q\/(q\/(q\/q**(1\/4)))*q)))) assuming q is positive.\nAnswer: q**(25751\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(40) - -3*sqrt(120)\/sqrt(3))\/sqrt(8) + (sqrt(80))**2*5 + (sqrt(75)\/sqrt(3))\/sqrt(5))*2.\nAnswer: -4000 - 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/249 and -151\/6.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + dbcd?\nAnswer: dbc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -276, -277?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1340 - -51. Let u = -1162.4 - s. What is u rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 3. Let v(r) = 2*r - 5. Let o be v(4). What is the units digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248544542 to the power of 1\/2, to the nearest integer?\nAnswer: 15765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*s + 120 - 123 = 0, c = -3*s - 13. Sort c, -20, 3, 0 in decreasing order.\nAnswer: 3, 0, c, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10, -132 in descending order.\nAnswer: 10, 6, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 8:13 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20115973 to the power of 1\/2, to the nearest integer?\nAnswer: 4485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76965, 307861, 692691, 1231455?\nAnswer: 1924153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 - 768\/7. Is g less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14202 and 12887?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 + 9 - 20*p + 10 + 12*p - 14*p**2. What is g(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000525436065 rounded to five dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*b + 982 = 0, -10*f + 12*f = -5*b + 1969. Let g = f + -735. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5083*k**2 - 25405*k - 46. What is c(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3451 + -2001. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(76)\/sqrt(4))**2 - sqrt(95)\/((sqrt(5) - sqrt(5)*-1)*-3).\nAnswer: -57 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -204 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(3 + 51\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.86 times -484\nAnswer: -900.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2 + 20*m**3 + 37 - 14 - 254*m - 11 - 12 wrt m?\nAnswer: 120*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/11 (b) 2 (c) 5 (d) 4 (e) -1\/5 (f) 6 (g) 3006\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3681 + 19355 + 784 = -230*m + 2660 for m.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 + 0*k**2 + (2 - 1 + 0)*(k**2 - 5*k**2 + 3*k**2))*(202 - 8*k - 202 + (106*k - 580 + 580)*(-2 + 2 - 2)).\nAnswer: 440*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -27*u**2 - 12*u + 12. Let n(r) = -11*r**2 - 5*r + 5. Let s(b) = -5*g(b) + 12*n(b). Let h(p) = -15*p**2. Give h(s(d)).\nAnswer: -135*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 11*v - 10*v + 426 + 14*v + 9*v - 8*v.\nAnswer: -2*v**2 - 6*v + 426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178533, 357071, 535609?\n\"Answer: 178538*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6432 and 358243104?\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12 - (-3)\/(-18))*156\/18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 4*n**3\/3 + 3*n**2\/2 - 1631. What is v(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 10. Determine h(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -355.86 + 355.85981193. Round f to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:18 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 17*a**2 - 13*a - 108. What is p(18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433346?\nAnswer: 2, 389, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -457 + 934. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5215, 111, 3 in ascending order.\nAnswer: -21, 3, 111, 5215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12598 - -12646. What is the lowest common multiple of p and (-693)\/(-49) + (-1)\/7?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1840 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 1.6. Which is the biggest value? (a) -4 (b) 0.06 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.4245 weeks?\nAnswer: 5095137600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-21) - -1 - 4\/3. Let s be z + (32\/(-3))\/4. Which is the second smallest value? (a) s (b) -4\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*y + 1108 = 0, -7*n - 5*y + 844 = -4*n. What are the prime factors of n?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(180)\/sqrt(4).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + z**3 + z**3 - 4*z**3 + z**3 + (z - 2*z + 2*z)*(-z**2 - z**2 + 0*z**2) - 10*z**2 + 10*z**2 - 3*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2223, 4500, 6825, 9210, 11667, 14208?\n\"Answer: 2*r**3 + 12*r**2 + 2227*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - -2) + 3534\/228?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/56*i**8 + 0 + 0*i**7 + 8*i**2 + 0*i**3 + 0*i**6 + 1\/24*i**4 + 0*i**5 + 0*i. What is the second derivative of g(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 31 + -11 + -50 + -14 - (-8 + 0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k - 3. Let m be g(4). Let l = -64\/33 - -14\/11. Which is the biggest value? (a) l (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n**2 + 7*n**3 + 322*n - 10*n**3 - 333*n to the form b*n + l + m*n**3 + p*n**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus 0.017?\nAnswer: 14.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*u + 683 - 166 + 356 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17432358 + 102*m**3 + 17432358.\nAnswer: 102*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5320168mg in micrograms?\nAnswer: 532.0168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100138152 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - -38?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8 + u**3 + 13.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 4*b + 18, 0*r - 4*b + 6 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 4, v: 4}. Give prob of picking 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 3*x - 3*x + (1 - 2 + 3)*(-2*x + 3*x - 3*x) + 4*x - 2*x - 4*x)*(-1 + 1 + 1)*(2 + 4 + 0) to the form b*x + t and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -g - 4*v, 2*v = 4*g - 0*v - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 3*m + m)*(0*m**2 - 2*m**2 + 0*m**2) - 46*m**3 + 170*m**2 - 170*m**2 + 0 + 3*m**3 + 6 - 4 in the form b*m**2 + j + p*m**3 + u*m and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329929817*d**2 - 8791*d - 17436 wrt d.\nAnswer: 659859634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6178 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trt when three letters picked without replacement from tebeaereeeeeetret.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 + -3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6, 0 = -2*f - 0*u - 5*u + 247. Suppose 70*h = 57*h + 1560. Let w = f + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 39, 93, 169?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461191?\nAnswer: 461191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69 * -100293\nAnswer: -6920217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4)*28\/(-7). Solve -f + h*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 4, -3, -3\/8.\nAnswer: -3, -3\/8, 4, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003001 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/3 + 28*d**4\/3 - 5016*d**3 + 103328*d**2\/3 - 116608*d\/3 - 78336 = 0. What is d?\nAnswer: -68, -1, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 3 + 8*q.\nAnswer: 8*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**7\/90 + 11*k**4\/24 + 5*k**2. Let x(f) be the second derivative of w(f). Let n(c) = c**2. Give x(n(a)).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/6 - 17*u**2\/2 - u. Let t(s) be the first derivative of i(s). List the prime factors of t(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-20))\/s)**(-21)*s**(-42)\/(s**6*s) assuming s is positive.\nAnswer: s**371","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 26*o**2 + 34*o + 1183. Calculate d(-18).\nAnswer: 3811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2809 and 9747.\nAnswer: 27379323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 0*s - 48 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791480 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 358753*b + 2511074. What is t(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 9. Let f(j) = j**2 + 7*j - 6. Let v be f(-7). Let g = 44881 - 44878. Calculate the lowest common multiple of n(v) and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**2 + 2*r - 34. Let c be i(-7). What is the common denominator of 59\/9 and ((-42)\/4)\/(-18*(-3)\/c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.3. Is 0.1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 17\/2*g**2 - 1\/4*g**3 + 0*g.\nAnswer: -g**2*(g + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + -5 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165623 is divided by 6196?\nAnswer: 4527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 3*i + i)*(2*i**2 - i**2 + 0*i**2) + i**3 + i**2 - i**2)*(506 - 506 - 49*i).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*l + 20, -l + 3*h - 12 = -3*l. Suppose 3*v + 2 - 8 = l. Determine p so that -42*p**2 + 8*p**3 + 51*p - 11*p + 8*p**v - 8 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287864355.\nAnswer: 3, 5, 3271, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9516 at least 9519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/6*p**3 - 25 + 1\/2*p**2 + p. Let l = 56 + -55. Let c(x) = 3. Give l*c(v) - j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a = 4*a + 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-2\/3)\/v*v)\/v*v)*v*v**(-1\/3)*v)\/(((v\/(v**(2\/9)\/v))\/v)\/v**2))\/((v**1)**12)**(-3\/2) assuming v is positive.\nAnswer: v**(203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (57 + -53)) + 7.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) -1 (c) -8 (d) 4\/5 (e) 0.087 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*q - 166 = 3*z, 5*z - q = 415. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2603594732 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/96 and 31\/124560?\nAnswer: 249120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*i - 34094, 5*i - 5*p + 34504 = -22321. Let s = i - -227229\/20. What is the common denominator of s and 81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(5390\/176)*95\/(-608)*-56.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -24*c - 141. Let r be w(-8). Find the common denominator of (-376)\/266 - r\/119 and -28\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 29, 1630 in ascending order.\nAnswer: -3, 6, 29, 1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:18 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17901103097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1492\/12)\/(-1) + 20 + 2176\/(-96)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41681 is divided by 13765?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*p + 10 = 5*f, -3*p = f - 14. Let v be (-2)\/2*(2 + -2). Sort -4, f, v in ascending order.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltxxehtellexxlxxxh. Give prob of picking 1 h and 3 x.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665617, 665548, 665431, 665266?\nAnswer: 665053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 6 - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0105+0.35\nAnswer: 0.3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -461 - -465. Solve 2*r - x + 6 = 0, -4*r + f*x - 8 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from cepxexjp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -228, -815, -1792, -3159, -4916, -7063, -9600?\n\"Answer: -195*d**2 - 2*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + r + 0*r + (-5 + 3 + 1)*(5*r - 9*r - 6*r))*(-9 + 5 - 12).\nAnswer: -256*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5407*r + 676*r - 2135*r + 976*r - 2 - 2292*r.\nAnswer: -8182*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5695\/16 + 1399\/4. Let l = -4 + 18. Calculate the common denominator of (-4)\/l + 6041\/(-294) and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10132 - -7016. Let j = h + 12599\/4. Let p = -33 + j. What is the biggest value in 2, p, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from hpppy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 55*h + 46*h - 155*h + 51*h. Let s(x) = 45*x. Determine k(s(i)).\nAnswer: -135*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**7\/105 - 5*f**6\/24 + f**4\/6 + 1400*f**3\/3 - 6178*f**2. What is the first derivative of d(z) wrt z?\nAnswer: 8*z**3 - 75*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = 7. Suppose -t = b*t - 1170. What is the greatest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 8 = 2*a + 2*b, -4*a + 30 = -3*b. Suppose 7*i + 6 = a*i. Let l = -60 + 55. Put 4, l, i, -6 in descending order.\nAnswer: 4, i, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/13 + (-337950)\/(-325)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v + 10. Calculate the remainder when d(4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53123?\nAnswer: 7, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 - (4 - 0) - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, i: 4, a: 7, r: 4, v: 2}. Give prob of picking 2 i and 1 u.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 1\/462, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 6*h)*(-10*h - 17*h + 0*h)*(-271*h - 122*h - 83*h + 15*h).\nAnswer: -12447*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7805793 is divided by 49093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -32114*o**2 - 1895 + 4045*o + 907 - 3052 + 32109*o**2 = 0. What is o?\nAnswer: 1, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-217)\/31)\/((-14)\/6))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*h**3 - 686*h**3 + 179*h**3 + 174*h**3 + 175*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -172 - -152 - (-17 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32724, -32650, -32524, -32346?\nAnswer: -32116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4 + 33*u**3 - 333*u**2 + 783*u - 486 = 0.\nAnswer: -18, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*v - 1183, 0 = -5*s - 0*s - 2*v - 1483. Let q = s - -706. Is q a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c - 3. Let n(f) = f - 1. Let s(i) = h(i) - 2*n(i). Let l(j) be the first derivative of s(j). Let r(q) = -2*q + 2*q + 3*q. Give r(l(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 + 0 = 0. Let d(g) = -2*g**2 - g. Let a(n) = 3*n**2 + n. Let m(p) = 4*a(p) + 3*d(p). What is the units digit of m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/1938 and 83\/93024.\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -46*g - 376. Calculate p(4).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3467\/615 + 6\/205. Find the common denominator of o and -43\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -3 (c) 36\/37 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20440935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 + 23*x + 27. Let l be h(-19). What is the common denominator of (-10)\/25 + 134\/20 and 1 + -1 - (l\/(-90))\/(-11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -197 and 30.\nAnswer: -5910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 8*s - 8. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 z when three letters picked without replacement from {x: 1, d: 2, z: 1, c: 3, e: 1, a: 4}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**2 + 463. Let w(q) = -4*q. What is w(c(m))?\nAnswer: 48*m**2 - 1852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -8 (c) 0 (d) 1.69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/398 and -25\/26.\nAnswer: 5174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 7 + 3*f)*(-1 + 4 - 1) - 4*f - 7*f - 2*f.\nAnswer: -7*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18330*q + 75251*q + 128580*q - 25513*q.\nAnswer: 159988*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:24 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/24 + 2*r**3 - 11*r**2. Suppose 0 = 2*s - 2*n + 6, 4*s + 28 = -4*n - 16. What is the units digit of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(29\/(-114144)). Round f to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y + 34. Determine d(-17).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r - 82*r + 175*r = 558. Let n = 10 - 6. Calculate the remainder when r is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*((-75992)\/(-1008))\/(-59).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z - 18. Let q(a) = -7*a + 16. Give 3*q(s) + 2*v(s).\nAnswer: -5*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 382105 less than -0.2?\nAnswer: -382105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**5 - 9*g**4 - 489*g**3 - 108102*g wrt g.\nAnswer: -100*g**3 - 108*g**2 - 2934*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -188. Let u be (-4)\/(-18) + (-70)\/(-90). Suppose 0 = -v - 5*f + o, 2*f - u - 3 = 0. List the prime factors of v.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013011011 + 1311?\nAnswer: -1013003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2966, -4604, -6242, -7880, -9518, -11156?\n\"Answer: -1638*q - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/132923 and 38\/4109.\nAnswer: 78025801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6537, 12851, 19175, 25515, 31877, 38267, 44691?\nAnswer: 51155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ae8 + -8?\nAnswer: 1ae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -214. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*i + 2. Let p be i*(-8)\/(-18)*3. What is the second derivative of 3*t**5 - 2*t - 2*t + 5*t - p*t**5 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23 = y, 3*y + 5 = -16*c + 15*c. What is the remainder when 86 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*i**2 + 46*i**2 + 50*i**2 + 23*i in the form u + j*i**2 + d*i and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 3357266426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37332 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k - 17. What is the tens digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + p + 4*p = 312, -156 = -v - v + 14*p - p for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1 + 0))\/((2\/124)\/(18\/(-36))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 5*s - 2. Suppose -s*b - 3*y = -b - 15, 2*y = -5*b + 23. Is 2\/b - 56\/(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-448)*-8*(-168)\/36.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 + -143?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1316 - -3?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(0 + sqrt(468)) - (sqrt(468) + 1*sqrt(468))*2) + (sqrt(468) - (sqrt(468) + 1)) + 3 + sqrt(468)*-2*-2)*4)**2.\nAnswer: 1920*sqrt(13) + 187264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**3\/3 + 3*z**2\/2 - 6*z. Let m be p(2). Sort 2, m, 0 in increasing order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + -7.17. Let m = j - -6.9. Let w = 2.9 - m. Which is greater: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8912, -6526, -2558, 2986, 10100?\n\"Answer: -f**3 + 797*f**2 + 2*f - 9710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3521*d + 4*f = -3520*d - 22, -13 = d + 3*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:05 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-9)\/(-81)*1*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5096 by 23016.\nAnswer: 91\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + -1 + sqrt(833) + sqrt(816)\/sqrt(3) - (sqrt(68)*-1*-2)\/(sqrt(40)\/sqrt(160))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5 + 65*t**4 + 220*t**3 + 160*t**2 = 0. Calculate t.\nAnswer: -8, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 894\nAnswer: -5\/894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 11*s**2 + 2 + 3*s**3 - 11*s**2 as f*s + w + u*s**2 + j*s**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17847 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 461*v**3 - 4*v**2 + 5707*v.\nAnswer: 2766*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -252*n + 251*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/(12\/9)*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*y + 121*y - 308*y + 61920 = 190*y for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*x**3 + 115*x + x**2 - 115*x + (3*x**2 - x**2 - 3*x**2)*(3*x + 3*x - 7*x) as s + j*x**3 + q*x + k*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-3 + 10 - 2) + 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8*r - 3. Let m be d(8). Let n = m - 6. Is 27\/n - (-180 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 492 = g + 2*g, 2*g + 1268 = 5*b. Let y be (-98)\/(-3)*((-1892)\/(-43) - 38). What is the highest common factor of y and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**7\/210 + 29*a**6\/15 + 199*a**4\/24 - a**3\/3 - 1521*a**2. Find the second derivative of v(j) wrt j.\nAnswer: -12*j**2 + 1392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**2 - 33*f**2 + 1840 - 1840 + 27*f**2.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23090828000+0.5\nAnswer: -23090827999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -5\/3*j**3 - 6*j**2 - 1\/6*j**4 + 0 - 109*j. Find z, given that m(z) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -398743, -1594973, -3588689, -6379891, -9968579?\n\"Answer: -398743*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + 6*b + 2. What is n(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37396560366 and -4262.\nAnswer: -37396564628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 2*k + 3*k)*(k + k - 4*k)*(-4884*k + 1910 + 9777*k - 4890*k) as f*k + p*k**2 + j*k**3 + m and give p.\nAnswer: -3820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -18. Let w be (r\/10)\/((-10)\/(-5)). Let k be (-1)\/(120\/54) - 20\/(-80). Put 1\/3, 0.4, w, k in descending order.\nAnswer: 0.4, 1\/3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 220?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - -2.4. Let t be (-1 - 1)*-5*6\/60. Sort -0.4, t, 2\/21, z.\nAnswer: -0.4, 2\/21, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*y**2 - 112*y + 112*y + 572*y**2.\nAnswer: 1186*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 3402 - 999. What is the least common multiple of o and 6?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129342015 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 68904560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 15063244258\nAnswer: -15063244258.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2)*5\/10. Let s = m - 0. Let w be 16\/(-104) + (-14)\/78. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/840 - r**5\/40 - 5*r**3\/6 + 3*r**2. Let y(t) be the first derivative of q(t). Find the second derivative of y(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 + 0.26. Put -5\/3, m, 2 in descending order.\nAnswer: 2, m, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 26, 87, 204, 395?\n\"Answer: 3*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 40.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -485, 1, -31682, -5 in increasing order.\nAnswer: -31682, -485, -5, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2714 + 4369. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, g: 1, h: 1, r: 1, n: 1}. What is prob of sequence hrog?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = q - 3*g, 5*q + 3*g = 32. Let m(w) = w - 7. Let a(v) = 2*v - 10. Let n(f) = 5*a(f) - 7*m(f). Determine n(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-135)\/(-54) + 2\/(-4). Suppose 2*x - 3 = 1. Let k(h) = -v + 6*h + x. Let p(c) = 2*c**2. What is p(k(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 9. Let w be 4*(8 + 0\/5). Suppose 0 = -8*q + w + 8. Is q less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**3 - 3*b**2 + 3*b - 2. What is the tens digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/7381 - -361689\/147620. What is the common denominator of 66\/30*65\/(-12) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) 6\/11 (c) -2 (d) -11\/669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 10, 53, 134, 265, 458?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23500*g**4 + 11718 wrt g?\nAnswer: 94000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 26*k + 29. Let c be s(11). Calculate the highest common divisor of 45 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38245 - -36564. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 55 = -83. Suppose 5*o = 2*h - 21, 0 = -0*h + 2*h - 4*o - 18. Suppose -16 = h*u - 7*u. Calculate the least common multiple of u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - w)*(-2*w - 2*w + 15*w - 3).\nAnswer: -11*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-8))*q*q**4*q)\/(q\/q**2)**(-13\/2)*(q\/(q*(q*q**(-2))\/q*q)*q**(-4\/9)*q)\/((q*q\/q**0)\/q)**(-33) assuming q is positive.\nAnswer: q**(487\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3690*m = -160935 + 15561 + 21633 - 200979 for m.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7) + 5 + -38 + 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 5 = -7*t. Let f = 16 - t. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.99 and 215.68.\nAnswer: -213.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**3 + 11*c**2 + 23*c - 8. Suppose 5*l + 3*v = 71, 0 = -2*l + 2*v + 14 + 24. Let t be r(l). What is t rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 7. Let m be w(6). Suppose 0 = 3*l - m - 2. Solve 2*q - 2 = -0*q, -2*y = 5*q - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17388 (base 14) in base 2?\nAnswer: 1110001111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - 0)\/(-1))\/(-1). Let b be (0 - -4) + (-48)\/16. Let v(h) = 2 + q - b - h**2 - h**2. Determine v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2711, -1931, -631, 1189, 3529?\nAnswer: 6389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0 (c) -2\/3 (d) -1.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420, -395, -360, -315, -260, -195?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/17 + 454*y**4\/17 - 924*y**3\/17 - 1816*y**2\/17 + 3664*y\/17 = 0 for y.\nAnswer: -229, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 531.223 and -0.1?\nAnswer: -53.1223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14645 - 14614. What is the remainder when 1122 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45418 is divided by 1284?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/4 - w**3\/6 + 4*w**2 - 59. Let m(x) = -4*x + 0*x + 3*x - x. Give -7*m(d) - 2*p(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -16. Suppose -v*q + 3*u + 9 = 0, 4*q = 3*u - 8 + 22. What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8608852 and 16.\nAnswer: 34435408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*r = 21, 1731*r - 28 = 5*i + 1728*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20715629 to the nearest 10000.\nAnswer: -20720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40465 - -26?\nAnswer: 40513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1702327 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6080 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - 3*sqrt(245) - sqrt(245) - sqrt(245))**2*-5 - ((sqrt(245) + 4)*1 - sqrt(245)).\nAnswer: -19604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5799 - 3316. What is the remainder when n is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 139676\/22 + 28\/308 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133392038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 5:23 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 1\/6*k**3 - 1\/84*k**4 - 6\/7*k**2 + 0 - 32*k. What is f in s(f) = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7140164 from -579.\nAnswer: -7140743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33750353 to the power of 1\/2, to the nearest integer?\nAnswer: 5810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g + 26*g - 156 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let r be g(-3). Suppose 4*w + j = -0*w + 13, r*w - 11 = j. What are the prime factors of -1 + 20 - (-2 - (-5 + w))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 92, 94, 44, -76, -284, -598, -1036?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 47*p - 248. Give k(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + q - 23, -3*q - 6 = -0. Suppose -s + 16 + 13 = 3*j, 0 = 3*j - x*s - 17. Solve -3*m = -3*a - j, 0 = a + 2*a + m + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 2470177989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:35 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25897178 to the nearest integer?\nAnswer: 5089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14897, 30228, 45573, 60938, 76329, 91752, 107213, 122718?\n\"Answer: a**3 + a**2 + 15321*a - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/146268 and 139\/408.\nAnswer: 292536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -355, -703, -1047, -1387, -1723?\n\"Answer: 2*c**2 - 354*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-84) - 149\/56. Let t = s + 17\/8. Let j be 1 - (-3 - -1*2). Which is the nearest to 1? (a) j (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 divided by -21034?\nAnswer: 386\/10517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219396288?\nAnswer: 2, 3, 17, 67217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202680\/36 + 4\/(-2).\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*t - 8, t = -4*z - 2*t + 10. Suppose -a + 1 = -3*c + 4, -5*c + 4*a = -12. Let p = z - c. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 51*m + 21. Let d be z(-2). Let k = 102 + d. Solve 0 = 4*v - r - k, 3*v + 2*r = v + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-141)\/(-4) - 4\/16. Let b be ((-90)\/m)\/(6\/(-28)). Calculate the greatest common factor of b and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -12220?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 14. Let f(c) = -c - 3. Suppose 0 = 7*j - 9*j + 6. Let d(g) = j*n(g) + 14*f(g). Let x(l) = 3*l. What is x(d(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -5 + (7 + 6 - 6). Factor 9\/7*q**4 - 3\/7*q**5 - 9\/7*q**3 + 0 + 3\/7*q**z + 0*q.\nAnswer: -3*q**2*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 22*m**2 + 55*m - 47. Let s be z(-19). Let y(o) = 2*o**3 + 19*o**2 + 12*o + 29. Let l be y(s). Solve 30 = 8*j - l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11258 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/((-20)\/(-3))*8\/(-3). Let s be (-12360)\/(-840) + r\/14. Solve -3 = 9*q + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(6 + -2). Suppose m*n + 48 = 10*n. Suppose -9*y + 243 = -n*y. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let r = v + -16. Let l = r - -33. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21443*y**5 - 4*y**3 - 17*y**2 + 1278.\nAnswer: 1286580*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Suppose r = 14*v - 10*v. Suppose -q = -v - 52. What is the remainder when q is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + i + 6 - 111 = 0, -4*i = 0. Let r(m) = m**2 + 21*m - 43. Let w be r(-22). Let g = b + w. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 845.\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/2 - 3*z**4\/2 - 78*z**3 - 386*z**2 - 480*z = 0. What is z?\nAnswer: -6, -5, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 17*x**2 + 18*x - 6. What is q(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 1248 = 2*b, 2*b = -4*s + 984. Let g = s + -247. What is the fourth smallest value in g, 1\/9, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffffllfyfffoyfoffy. Give prob of sequence lyf.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 34 - (-70 - (-47 - 31))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -7*h - 21 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4079 (base 14) to base 11.\nAnswer: 8366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6*(-6)\/4. Let p = 29 + -28.8. Which is the biggest value? (a) v (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21850)\/(-3933))\/((-10)\/45)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 130*z + 4131. What is h(-61)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let y = -1 - c. Let h(n) = 3*n**2 + 82*n - 64. Let z be h(-28). Which is bigger: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -10. Solve 5*a = -0*a - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v = -67*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -54, -2, 99, -5 in descending order.\nAnswer: 99, 5, 3, -2, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/9, -0.5, -3\/7, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1025 (base 6) to base 11\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 268, 170, -2, -254, -592, -1022?\n\"Answer: -k**3 - 31*k**2 + 2*k + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68657*u + 1794.\nAnswer: 68657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012124 minus 589.48706?\nAnswer: -589.4882724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1870001*w**2 - 2*w - 1. Let p = -14 - -10. Let y be 3\/(-9) - p\/(-6). Let d be a(y). Round d to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 + 7*y**2 + 21*y + 7. Let h(z) = -2*z**3 + 3*z**2 + 11*z + 3. Let i(u) = -7*h(u) + 3*n(u). What is the second derivative of i(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 9. Suppose 4 = 5*y + 39. Let w be o(y). Suppose -w*q = -17 - 15. Calculate the highest common divisor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112332161 - 21?\nAnswer: -112332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - (4\/(-2) + 0). Suppose -3*w - 5*d + 5 - p = 0, 2*w - 3*d + 16 = 0. Let v = 23 + w. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647711321 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -2 (b) -93\/17 (c) -2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 8 = -4*h. Suppose h*l = -9*y + 4*y + 258, 376 = 3*l + 2*y. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14) - ((-822)\/21 + 7616\/224).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3611.80469 to the nearest ten.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28090 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(425)*2 + 4)**2.\nAnswer: 80*sqrt(17) + 1717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 1, y: 3, o: 3, b: 3, w: 8}. What is prob of picking 1 v, 1 b, and 1 p?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.17, -5, 2\/11, -4\/5, -0.22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4848?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v + 84 = -89*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -0.036612.\nAnswer: 0.263388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-208)\/(-136))\/(-26))*(-4)\/8*-2.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11345989 is divided by 35905.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 4*o - o + 1 + 0*o. Let j be d(9). Let x = j - -27. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5723 = 59*v - 6077 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 128. Let m(s) = -14*s + v*s + 1 - 15*s. Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 9 = -y. What is the remainder when 50 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444 - 444.187. Let n = -0.287 - t. Which is the nearest to n? (a) -1\/4 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 701979993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (87\/(-116))\/((-2)\/8) + 1 + -4. Which is greater: z or 2\/18465?\nAnswer: 2\/18465","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 85. Suppose 2*y - 2 = -9*m + r*m, 0 = -5*y + 4*m + 5. Let c = 203 - 198. Sort y, -5, c.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -0.5, 4, 17.96, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24393*z - 322 = 24439*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6)*-2 + sqrt(6)) - sqrt(4))\/(sqrt(2) - sqrt(4)\/sqrt(2)*-2) + 4.\nAnswer: -2*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1067427*q**2 - 72932*q?\nAnswer: 2134854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 5. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from onldvjodljjdodjvjdj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**2. Let b(r) = -8162*r. Calculate b(z(f)).\nAnswer: 106106*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (57 - (-36 + -7))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2)**2 + -2 + sqrt(242).\nAnswer: 11*sqrt(2) + 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*(-26)\/(-65). Let v = 0.36 + -0.06. Let x = 0.3 + 0.2. Which is the closest to -1\/4? (a) m (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 1, f: 3, x: 2, w: 1}. Give prob of sequence wf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 = -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 337 and 15679599?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 608?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*u, x = -4*u + 35 - 134 + 76 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c - 5. Let a be (-15)\/(-4)*48\/40 - 27\/(-9). What is the nearest to -1\/4 in c, a, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2. Let h be p(2). Let w = 6 - h. Let r(t) = -4*t + 3. Let s be r(-3). Solve x + 2*x + s = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -1186 - 74. Let w = h - -323. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 7, m: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.47 (b) -1\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -2\/7, 16, 1.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 - 131333022101?\nAnswer: -131333021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*h**2*o + 2*h**2*q + h*q + 2*h + 33*o*q wrt h?\nAnswer: -252*o + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14 + 4 + 7 - 10*u + 7. Let d(f) = 9*f - 3. Let o(h) = 4*d(h) + 3*g(h). Let n(t) = t**2. Determine n(o(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -2949 - 4089. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156466233 + 1?\nAnswer: -156466232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876421 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and (15\/10)\/1 + 9\/2.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8644, -34566, -77800, -138370, -216300?\n\"Answer: -4*q**3 - 8632*q**2 + 2*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -118, -16.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 6131901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 + 322. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-72)*528\/200.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -207. Suppose 3949 = 3*s + 4*z + 204, -n*z = 2*s - 2490. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*f - 12, -7*f + 30 = -2*f - 5*z. Suppose f*v = -2, -4*p = -v + 2*v + 1. Is p bigger than -6\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:40 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 5*u + 4. Let k be c(3). Suppose k = -5*h + 7*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w\/(w\/((w**(-1\/13)\/w)\/w)))\/w)\/w*w*w\/(w\/(w\/(w*(w**(-2)\/w)\/w*w)))*w**(-1\/3)*w**(-2\/5)*(w\/w**1)**(2\/25)\/(w**0*w**1*w) assuming w is positive.\nAnswer: w**(-353\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 42*l - 39*l - 19, 4*l + 69 = 24*k - 0*l + l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 - 4*y**3 + 7*y**2 + 17*y - 6. Let g be j(-13). Suppose -g*z - 2 = -6. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143796769 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -21. Let h = j + -17. Which is bigger: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165180 and 60324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1a?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -454 - 12481?\nAnswer: -12935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3340111707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**7)**(-15) assuming x is positive.\nAnswer: x**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 10:58 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 + 27*g**4\/4 + 145*g**3\/2 + 775*g**2\/2 + 4125*g\/4 + 4375\/4 = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s*s**(-3\/5))\/s)\/s))\/s)\/s**5*s*s**(-2)*s*s\/s**(-5) assuming s is positive.\nAnswer: s**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -352 + 366 + (-12 + 1 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*l + 68 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/21)\/((-132)\/(-1155)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21386501 + -2373930802\/111. Let v(z) = -z - 263. Let y be v(0). Let o = y - r. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 8*r - 7. Let c be h(-6). Suppose -g + c*k = 19, -2*g - 30 = -5*k - 7. What is the third smallest value in -2\/13, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*d - 484*d + 261*d + 908*d + 617*d.\nAnswer: 1478*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 2. Let g(n) = -n**2 + 12*n - 3. Let y = 4 + 1. Let b be g(y). Calculate the highest common divisor of i and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/867460388 and 50?\nAnswer: 867460388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = -30*i + 33*i. What is the greatest common factor of i and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-250)\/195) + 11 + (29 - 28).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3170812, -3170741, -3170622, -3170455?\n\"Answer: 24*k**2 - k - 3170835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 11*z**2 - z + 11. Let h be c(11). Let i be (-3 - h)*(-13)\/39. Let g be (-6)\/8*(-70)\/(-336). Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 9. Let k be a(10). Is k less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2228142 days?\nAnswer: 320.852448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22736, -6, -5, 0 in descending order.\nAnswer: 0, -1, -5, -6, -22736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1570981448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47322*d + 47179*d + 1716 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from cuk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**4 - v**5 - 2*v**3 + 5*v - v**3 + 3*v - 4*v**3 - 9*v**2 + 18*v**4.\nAnswer: -v*(v - 8)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(7)*-5 - (0 + -1 + sqrt(7))))**2 - (-4 + 2*sqrt(1008) + (sqrt(1008) - 1*sqrt(1008)) + 2)**2.\nAnswer: -3468 + 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:23 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 + 28*z**4 + 130*z**3 + 200*z**2 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p - 24. Let k be a(-1). What is the smallest value in -25, 0, k?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/24)\/(25\/6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-2)\/(-8)*2) - (-347934)\/57426?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let u = -3 + 3.3. Let q = -3 + 3.2. What is the closest to 0.1 in a, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (106\/(-9)*3)\/((-20)\/(-150)). Let t = 271 + c. Suppose 20 = 2*n - 12. Solve t*i - 2*i - 4*l = n, -3*i = -2*l - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6467?\nAnswer: 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1\/(-1) + 0. What is the units digit of (h + 2)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 13 = -k - 5*a, 0 = -k + 2*a - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q - 33*q + 71*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(495))\/(sqrt(88)\/sqrt(32)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.99249478 plus 3?\nAnswer: -22.99249478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(-3 + 0 + 2)*(-2 + 2 + 2*u + (1 - 3 - 1)*(-6*u + u + 4*u) + 5*u - u - 3*u + 2*u - u - 3*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u + 721 - 329 - 357. Let j = -1 + 0.84. Sort 3, j, -2\/3, u.\nAnswer: u, -2\/3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 142.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 4:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 12 = 0. What is the second derivative of z - 6*z**v + 3*z**4 + 4*z wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 1246 - 2481 = -945 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 157. Let x be q(0). Suppose -3*b - x = -520. Let h = 177 - b. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 - 2*z + 1. Let d = -32 - -30. Let x be w(d). Suppose -3*g = -x - 138. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/(-12)*(1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 - 3 - 0 - (400 + -414).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215140 - -2240?\nAnswer: 220410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-21)*-11 - ((-1443)\/819)\/37?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/154)\/(21\/(-33)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*o - 2919 + 921 = 0, -h = -5*o + 654. Suppose -8*j = -5*j - 3603. Let x = h + j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-105)\/(-6))*(-7 + 14). Suppose -j + r*p = -26, j + 4*p = -j + 20. Calculate the greatest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4947\/194)\/((-3)\/1)*4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4088\/5460 - 2\/(-39). What is the closest to 2 in -3\/2, 3\/5, a, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 626*n**2 - 20*n - 2. Let u(d) = 626*d**2 - 30*d - 3. Calculate -2*u(m) + 3*z(m).\nAnswer: 626*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10031.81 litres to millilitres.\nAnswer: 10031810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 1079 = 79. Let f = c - -270. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 2*r. Let j(q) = q**2 + 5*q - 17*q**2 + 6*q. Suppose 0 = -4*h + 2*f - 44, 0 = 2*h - 7*h - f - 55. Determine h*o(x) - 2*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 469 - 466. Suppose u*m - 2*i = -m - 72, 5*m + 91 = 3*i. Which is greater: m or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245534965 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssgsssg. What is prob of sequence ggs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(((-210)\/25)\/14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 2, p: 13}. What is prob of sequence pf?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 21*s**4\/8 - 11*s**2 - 5*s. Let u(g) = -5*g + 2. Let a(z) = -3*z + 1. Let m(p) = -4*a(p) + 2*u(p). Determine o(m(q)).\nAnswer: 126*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93132 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 21. Let u = q - 27. What is the lowest common multiple of u and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 + 9 = 0. Put k, -13, 5 in ascending order.\nAnswer: -13, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = 5*p, -k = -5*p + 18 - 3. Suppose 3*z - 20 = -p*z. Let y be 1 + (-4)\/((-76)\/(-21)). Which is the nearest to 1\/3? (a) y (b) z (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 771439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5272*p + 2899587. Calculate n(-550).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -44*i + 9*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10*8\/(-1800))\/(12\/(-4620)*-11)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 8*p + 8. Let b(u) = -7*u**2 + 16*u + 17. Give -6*b(t) + 13*m(t).\nAnswer: 3*t**2 + 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -2\/5, 0, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + (sqrt(126) + sqrt(126)*-2 + sqrt(126))\/sqrt(7).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63918.09 kilometers?\nAnswer: 63918090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 558, 639, 688, 693, 642, 523, 324, 33?\n\"Answer: -2*w**3 - 4*w**2 + 107*w + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3234 or -1?\nAnswer: -0.3234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*0.7.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(204) + 3*sqrt(204)) + sqrt(204))\/sqrt(12))**2 + sqrt(612) + sqrt(612)*-1*1.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 5*a)*(-2 + 4 - 1) + 177 + 267*a + 204 - 375.\nAnswer: 268*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from palwawwswllals. What is prob of picking 1 p and 1 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -14. Let i be (k\/(-3))\/((-3)\/6). Solve -r - i*g - 8 = 3*r, 0 = 5*r + 4*g + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2560)\/(-88))\/80 + 174\/429.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -3.11?\nAnswer: -27.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087136.\nAnswer: 2, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:58 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 1.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -620*s**3 - s + 566*s**3 - s as m*s + a*s**3 + u*s**2 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 17. What is the remainder when 25 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376111009.\nAnswer: 17, 3499, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s + 222*s = -347*s - 134*s + 24041 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1121, 3, -457 in decreasing order.\nAnswer: 1121, 3, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - f**3 + 25 - 15 - 13 as n + d*f**2 + j*f + g*f**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 650*r + 1308.\nAnswer: -2*(r - 327)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3722030356 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44641951957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8095 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 54*g**2 + 142*g + 59. What is p(24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 29*j - 37*j = 30 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 656955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41773 + 41702.252. What is n rounded to the nearest integer?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*t = -13 + 2, -4*r = t + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + 2*g. Let j(z) = z. Let t = -384 - -386. Determine t*j(w) - i(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000270849 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 3. Let i be g(-4). Suppose -6*v + i = -11. Suppose 0 = -0*p - p - 2, -434 = -v*c + p. Calculate the remainder when c is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 915\/(-9))*18. Let h = o + 2479. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -140 - -2?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 - -161. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 53\/2. Do i and 5.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/5))**(-23)\/(v**(-1)*v)**6)\/(v**(7\/5)*v**3*(v\/(v\/v**1)*v)**37) assuming v is positive.\nAnswer: v**(-461\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuvvuuuuuuuuv. Give prob of picking 2 u.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*j - 6*j = -20, 4*w + 3*j = -34. What is the lowest common multiple of (w\/(378\/(-72)))\/((-4)\/(-138)) and 32?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 130541 + 23031. What are the prime factors of t?\nAnswer: 2, 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14463300 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -5)\/(2\/1). Let y be -2*(a + 3)\/(-1). Suppose -y*t + 8 = -252. What is the remainder when t is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 10. Solve 8*d - 3*d - 3*l = w, 0 = 5*d + 3*l + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 92.\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + 1*(0 + (1*sqrt(832)*2 - (0 + sqrt(832) - sqrt(832))*2)))*-3)**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3876 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11624.003501 - 11624. What is i rounded to five dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 839 (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**28\/(a\/(a**(-6)*a*a)*a)**(4\/11) assuming a is positive.\nAnswer: a**(-332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(18)\/(sqrt(16)\/sqrt(8) + sqrt(2))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13270*d**2 + 530799*d + 104. Determine t(40).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n = -29*n + 9191500. Round n to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:41 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 41, 17, 7, 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuxxxxccmxxx. Give prob of sequence mu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 10800?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269739 divided by 731.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64474 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g + g)*(-3 + g + 3) + 0*g**2 + 30 - 28 + g**2 to the form d + q*g**2 + f*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let s(g) = 19*g**2 - 10*g**2 + 3*g**2 - 62*g**2. Give s(j(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24165315887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*s**4*t**2 + 46*s**3*t**2 + 4*s**2*t**2 + s**2*t - s*t**2 - 473*t**2 wrt s.\nAnswer: -5064*s*t**2 + 276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-3 + -4)*-6)**2.\nAnswer: 9504*sqrt(3) + 118188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-1.3\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let v be k(1). Let z(h) = -h**2 + 5*h**v - 2*h**2. Let o(x) = -x**2. Calculate o(z(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10992 - -6082645531.5.\nAnswer: 6082634539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + s - 90354 = -90362, 0 = 4*n + 9*s + 41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/72 and 119\/300?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 7\/20*n**2 + 3\/10*n - 15 + 1\/15*n**3. Factor h(j).\nAnswer: (j + 3)*(2*j + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 3*c + 2*c)*(17*c - 17*c - 6*c**2).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 69*x - 96. Let y(u) = 30*u - 38. Let k(a) = -5*j(a) + 12*y(a). Let t(p) = 7*p + 12. Determine 6*k(b) - 13*t(b).\nAnswer: -b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2 - 10, 33 - 7 = 3*x + 5*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or -48059\/359?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -41 + 5. Let i be ((-4)\/5)\/(2\/(-135)). Suppose -i = 3*x - g*x. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g = 44*g - 20. Let a be -1*(-2 - 0 - -4). Let m = 159 - 156. Put 0, a, m, g in descending order.\nAnswer: g, m, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxyxdyy. Give prob of picking 4 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0769404 + 1820\nAnswer: 1820.0769404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c. Suppose -3*w = 2*x, w - 3*w - 2*x = 2. Let l(m) = -13*m + 1. Calculate w*l(b) + 7*o(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 - 155. Let i(k) = 3*k**2 + 5*k - 3. Does 9 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25531671, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3777720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236415 (base 8) to base 2.\nAnswer: -10011110100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/6 + 5*q**2 - 14*q. Let a be s(-6). Suppose -2*d + 492 = a*v, 3*d + 264 = 2*v + 34. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -649767a + 7?\nAnswer: -6497673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:12 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94285*a**2*f**3 + 247*a*f**3 + 64*a*f**2 wrt a.\nAnswer: -188570*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 110, 0.4, 1 in ascending order.\nAnswer: -1.3, 0.4, 1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*s = -160, -36 = -5*g - 4*s + 89. Solve -g*n = -7*n - 88 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)\/(2\/(-10)). Suppose 4*a = -a - 5*q, -a + z*q = -24. Differentiate -4*i**4 - 5 - a + 7 with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276480\/11 - 2016\/11*p**2 + 6912\/11*p - 2\/11*p**4 - 124\/11*p**3.\nAnswer: -2*(p - 10)*(p + 24)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4798347 is divided by 4798307.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(189)\/sqrt(3)*1)**2*-1 - (sqrt(14)\/(sqrt(2) - (sqrt(2) + sqrt(18))) + -6*3*sqrt(7) + -4).\nAnswer: -56 + 55*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/15 + 0 - -1*2) + 3659427\/(-29655).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12c (base 14) to base 4\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21230 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1 - (3 - -27)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 5, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 2*b - 1. Let k be d(2). Is 14 a factor of (0\/k - 2) + 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {u: 4, s: 2, c: 2, e: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*h + 3*p + 73 = -342*h, 2*p = -3*h - 50 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 180 = 332. Let a be (-24)\/(-5)*(-110)\/(-33). Suppose j - 2*j = -a. What is the greatest common factor of k and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/40 - 2*u**4 + 3*u**3 - 32*u. Let o(d) be the second derivative of p(d). Let c be o(-17). Solve c*w + 5 + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 83567 - 0?\nAnswer: 83567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16734?\nAnswer: 2, 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.9 + -3.9. Let y = -17 + u. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53265.8 litres in millilitres?\nAnswer: 53265800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**5\/80 + o**4\/48 - 2*o + 1. Let l(n) be the first derivative of d(n). Let l(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1388, 4310, 8730, 14648, 22064, 30978?\nAnswer: 41390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -780 + 724.3. Let r = p + 56. Which is the third biggest value? (a) r (b) -0.3 (c) -2\/11 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53661989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4351, -4344, -4337?\nAnswer: -4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p + 1. Let v be t(-1). Suppose 2*m + h - 15 = -2*h, -9 = -3*h. Solve r - v = -b, -m*r + 0 + 3 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 0.2. Let i = -881 - -14079\/16. Let o = i - -133\/80. Put z, o, 0 in decreasing order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*2)\/(-3 + 4). Suppose -2*s = -0 - x. Suppose s*p = 421 - 88. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 5. Let c be g(-8). Let a(r) = -25*r - 8. What are the prime factors of a(c)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 greater than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 5)\/(66\/(-18) + 4). Solve -v*q - 24 = -15*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637003 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3633200 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**3 - 20*s**2 - 7*s + 46. Let j(t) = 13*t**3 + 32*t**2 + 11*t - 67. Let b(o) = -5*j(o) - 8*p(o). Let u be (-1)\/2*-2 - 1. Calculate b(u).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/7 + 114*q**2\/7 + 14940*q\/7 + 37800.\nAnswer: -3*(q - 98)*(q + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*-3)\/sqrt(4).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + f - 4 + 2 = 0, 4*g + f - 7 = 0. Suppose 4*p - g - 23 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3809\/3 < -0.4883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 17. Suppose t = 5*p - 5*v - 4, 1 = 3*p + 5*v. Suppose -p*l + 21 = 3*s - 17, s + 2 = 3*l. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969739601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 4, l: 6, q: 3, f: 3}. What is prob of sequence vfp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73 (b) 5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530757 is divided by 265377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3040 and 65740?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*z = 148*z - 100. Let m(s) = 159*s - 2 + 18 - 10*s**2 - 163*s. Let n(l) = -7*l**2 - 3*l + 11. Calculate z*m(b) - 7*n(b).\nAnswer: -b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1065 - -16415?\nAnswer: 15320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12945 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-32)\/48*((-8)\/(-14))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3108\/(-54))\/(-7)*4086\/908?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240)*6 - sqrt(240)) + sqrt(240))\/(-2*sqrt(36)\/sqrt(3)) + 1.\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.7 - 6. Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((-117)\/234)\/((-1)\/12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = f + 25, k + 6 = -2*f. Let g be -5 + (-1 - (-106 - -9)). Suppose 4*y - g = -k*i + 5*i, -4*i = -y + 4. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 13*x**2 + 22*x + 2. Let n be y(11). Factor -13*s**n + 19*s**2 - 14*s**2 - 12*s + 4*s**3.\nAnswer: 4*s*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 7*h**5\/5 - 2*h**3\/3 - 2. Find the third derivative of y(d) wrt d.\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*q + 2258 = -612. Solve q = -13*m - 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from mmii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 - 8*p**2 - p + 3. Let c be m(3). Let a = -175 - c. Solve -a = -2*z - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36900245 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 + 14*l - 66. What is the lowest common multiple of 110 and w(5)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3*(-15)\/9. Let u(a) = -7*a - 4. Let x(r) = -4*r - 2. Let f(d) = s*x(d) - 3*u(d). Give f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451\/3 + (-7 - (-78)\/9) is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 3*g**2 + 1. Let i be x(-3). Let q be (-16)\/24 + i\/(-3). Which is the third smallest value? (a) -1\/4 (b) q (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105197933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 15355.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3, 3*o = -3*i - i + 5. Suppose i*f - 2*b = 142, 3*f - 2*b = 4*f - 65. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**2 - 1004*y - 1984 = 0 for y.\nAnswer: -496\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*b + 51, -8*b - 85 = -3*j - 13*b. Suppose -23*x = -j*x + 18480000. What is x rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -186, -342, -468, -516?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187105?\nAnswer: 3, 5, 145807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177137 is divided by 147142.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158214199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -396b (base 16) in base 3?\nAnswer: -202011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 394\/353825 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 7. Let p(j) = 122 - j - j + 4*j - 63 - 62. Calculate -9*p(v) - 4*q(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22 - 9\/(27\/(-12)). Let c(n) = -n**2 + n + 20. Let d be c(0). Let r = j + d. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -68. Let d = 60 + r. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*w**3 - 439*w**3 + 107*w**3 + 153*w**3 + 99*w**3.\nAnswer: 91*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 + ((-65)\/(-15) - 3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, 139, 224, 375, 610, 947?\n\"Answer: 3*m**3 + 6*m**2 - 2*m + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 9) to base 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(3564) + sqrt(3564) - sqrt(3564) - sqrt(3564)))\/((sqrt(196) + sqrt(4))*4*-4).\nAnswer: -45*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6371 + -1.0434. Round p to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e98 (base 15) to base 7.\nAnswer: -25304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-165)\/(-1 - -4 - 2). Let j be 2165\/w + 7 - 2\/(-3). Which is smaller: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22) - (-10812)\/1749?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 1, t: 6, x: 2, v: 2}. Give prob of picking 1 t and 2 b.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aa197 (base 16) to base 7.\nAnswer: 32514264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3773*l**3 + 99*l**2 - 7*l + 2.\nAnswer: 22638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/24 - (-14 - 3)\/(5 + -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21870 - -87483\/4. Solve -9\/2*f**3 + c*f**5 + 9\/2*f**2 + 1\/4*f**4 - 1\/4*f - 3\/4 = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2\/9 (b) -0.3 (c) 1\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9962*o + 8782*o - 8270*o as z + h*o and give h.\nAnswer: 10474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 137. Let r be s(19). Calculate the greatest common divisor of 140 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -3137138971931.\nAnswer: -3137138971926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 6\/35, -91, 0.4, -5, -0.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -550, -2, -0.5 in decreasing order.\nAnswer: -0.5, -2, -550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3*6\/(-24))*-20*-1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18 (b) -66\/13 (c) 6 (d) -2\/5 (e) -0.3 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980827297?\nAnswer: 41, 23922617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.5 or -15193?\nAnswer: -15193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/18 - s**2\/2 + 8*s\/3 + 358. What is q in b(q) = 0?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * -741\nAnswer: -815.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 - 6. Let d(q) = 5807 - 7*q**2 + 5809 - 11616. Determine d(o(i)).\nAnswer: -252*i**4 - 504*i**2 - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**3 - 2*r**2 - 81*r - 412. Calculate i(-4).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1651 = -3*x - 2*o, 4*x - 2198 = -15*o + 14*o. Calculate the remainder when x is divided by 171.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*s + j + 15 = 0, 3*s = j - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 10 + -7 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -493\/179?\nAnswer: -493\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65841125 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (1704\/(-60) - -4)*100\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -2, 6, -18 in increasing order.\nAnswer: -18, -6, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101891836 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13392 + 323014551?\nAnswer: 323014551.13392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/3 + 1)*-6. Let n = 29 + -41. Let q = n - -16. Solve -5*w = -0*w + 3*v - 30, 0 = q*w + d*v - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 332467*o + 140467 wrt o?\nAnswer: 332467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 5*l = -11, -2*y + 3*l = -3. Suppose -4*b + 4 = 2*x + x, -3*b + 3*x = -y. What is the lowest common multiple of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1)\/(((-100)\/8)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 135*d - 499. Suppose -3*u + 10 = 2*u. Suppose -z = 2*m - u - 12, 4*z - 5*m = 56. Calculate the remainder when o(4) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48873877*d*u**4 + 3*d*u**2 - 24180184*d wrt u.\nAnswer: 195495508*d*u**3 + 6*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*u = -2, 3*v - 332*u - 6 = -331*u. Let q(b) be the third derivative of 0*b + 0 + 1\/270*b**5 - 25*b**2 + 1\/3*b**3 + 5\/54*b**v. Factor q(i).\nAnswer: 2*(i + 1)*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -0*l. Solve -4 = -a - l*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873163272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 3*l**2 + 5*l + 2. Let c be t(-3). Suppose -15*f - 104 + 524 = 0. What is the highest common factor of f and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/12 + 4 + 455\/(-105).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v - 6. Let s be c(7). Suppose -3*n + a = 5, -5*a + 2*a + s = 2*n. Solve 0 = -2*f - 2, -3*z + 5*f - 3*f + 11 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 27 - -5) + (-8 - -10 - 4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 42 - 6. Let z = -11 - x. Is z < 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -6 - (-4)\/1. Which is the nearest to 2? (a) -3 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:27 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 8656905 = 79*v. What are the prime factors of v?\nAnswer: 5, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16 + (7 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 5*o - 16 = -4*m, 2*m = -4*o + 18. Solve -44 = 16*u - o*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232955715.\nAnswer: 3, 5, 113, 137437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38 - -1694\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 5*b = -2*b + 95, -23 = p + 3*b for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3.1, -20, -1 in decreasing order.\nAnswer: 2, -1, -3.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**7\/315 - o**6\/18 + 2*o**5\/5 - 3*o**4\/2 + 3*o**3 + 23*o**2\/2 - 2*o. Let d(w) be the first derivative of n(w). Factor d(k).\nAnswer: 2*(k - 3)**3*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 1. Let b(g) = 4*g**2 + g + 1. Give -3*b(k) + 3*d(k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = 4*m, -3*r = 2*m - 3*m - 1. Let l(h) = -m + 5 + 4 + 2 + 2*h + 6. Give l(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519976996 rounded to the nearest one million?\nAnswer: 3520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3860)\/(-45) - 5\/((-45)\/2). Let i = m - 58. Let p = 9 - 2. Calculate the greatest common factor of i and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -35*t - 23. Calculate k(-5).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/42)\/(759\/(-231))*-3?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/6)\/b*b))**5*(b**(2\/11))**(-1) assuming b is positive.\nAnswer: b**(-67\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5672 and 8508.\nAnswer: 17016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z - 32*z - 46585 = 0. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2931 is divided by 139?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y + 8. Let f(v) = 2 - 6*v + 3 + 2. Let a be (-2418)\/104 - -18 - (-1)\/4. What is a*j(o) + 6*f(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27024 is divided by 233?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x - 138. What is v(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204517 - -851?\nAnswer: 205468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + l)*(-3*l**3 - 3*l**3 + 4*l**3 - 2*l**2 - 4*l**3 + 2*l**2 + (4*l + l - 4*l)*(3*l**2 - 3*l**2 + 2*l**2) - 2*l - l**3 + 2*l).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-21)\/(-28)*52\/(-6)). Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0015 * -24\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 128. Does 8 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3508 - -19169. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*(-15846)\/(-6533)*(-2)\/4.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2437 + 523 = -6*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239053 is divided by 518.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880 and 189695.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15834 divided by -609.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4*t - 5)*(0 - 9*t + 0) - 2 - 5*t**2 + 3*t**2 + t**2 to y*t + j*t**2 + d and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/x**(2\/35))\/(x**17\/x*x\/(x*(x\/x**(3\/17)*x)\/x)*x))**8 assuming x is positive.\nAnswer: x**(-43952\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - 5. Let c(q) be the second derivative of 11*q**3\/6 - 11*q**2\/2 - 16*q. Calculate -6*c(j) + 13*d(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -73*n**9\/84 - n**6\/40 + 137*n**5\/12 + 3*n**2 + 6*n - 159. What is the third derivative of s(m) wrt m?\nAnswer: -52560*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/18)\/(j**5*j) assuming j is positive.\nAnswer: j**(-109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5120846 and 737749?\nAnswer: 87054382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*b - 22 = 0, -b = 3*w - 34 + 12. Solve 0 = -3*q - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -54\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -134.6. Which is the third biggest value? (a) -0.2 (b) o (c) 2\/23 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let u(k) = 2*k**3 + 20*k**2 + 35*k + 19. Let j be u(-8). Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 12) to base 4\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 52 + 38 = 5*j, -5*k = 0. Let v = j + 0. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/124732 and 25\/249464?\nAnswer: 249464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.06 + 0.27.\nAnswer: -3.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5833 = 3*m - 5*p - 2161, 13302 = 5*m - 3*p. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49131 + -1?\nAnswer: -49132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 + 0*d + d**4 + 2*d - 9*d**2 + 4*d**4 in the form z*d + r*d**3 + s*d**4 + u*d**2 + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*1\/(-2). Let d = 3 - 8. Let n = 206 - 208. What is the nearest to -2 in n, b, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.14. Let p = z + 0.26. Let j = p - 0.4. Which is greater: 0.5 or j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/2 + a. Let q(k) = -16*k + 37*k - 18*k. Give -3*q(j) + 2*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccccycycycccyc. What is prob of picking 1 c and 2 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 7*t**2 + 4*t - 8. Let q(j) = 3*j**3 - 8*j**2 + 5*j - 9. Let h(o) = -4*n(o) + 3*q(o). What is h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a)\/a*a**(2\/7)\/a*a**3\/a**(-1)*(a*a\/a**(2\/7))**(-17\/3)*a**3\/(a**(2\/3)\/a) assuming a is positive.\nAnswer: a**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + 17?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*t + 154 = 81*t - 1058 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8500*a - 7 + 23918*a + 35386*a.\nAnswer: 50804*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 443, 5, -4, -5 in ascending order.\nAnswer: -5, -4, 5, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) 13\/5 (c) -0.1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 1. Let f(l) = -7*l - 3. Let q(i) = -2*f(i) + 6*o(i). Let m(v) = -5*v**2 + 0*v**2 - 9*v**2. Calculate q(m(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:44 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7640013l?\nAnswer: 764.0013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -257, -387, -519, -653, -789, -927?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s**2 + 27. Let c(r) = -r**2 - 2. Let f(d) = 27*c(d) + 2*n(d). Let p(w) be the second derivative of -w**4\/12 + 3*w. What is f(p(q))?\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = -6*o. Solve -j + y - 9 = o, -3*j + 2*y - 9 = 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 70*h**4 - 5*h**2 - 5*h + 299. Let p(d) = 210*d**4 - 14*d**2 - 14*d + 898. Let x(u) = 5*p(u) - 14*w(u). What is the first derivative of x(a) wrt a?\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501873.\nAnswer: 3, 173, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 4, e: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -81. Solve 0 = -3*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*x - 22, 5*x - 2*h = 2*h + 25 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-4)*4\/3. Let a = -7864 + 7908. What is the highest common factor of w and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5 = 0. Suppose g - 19 - 67 = 3*f, -5*f + 450 = q*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -2*f = -5*f - 4*w - 14, 0 = -h*f - 5*w - 7. Let x = f + 5. Which is smaller: x or 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -216*h**2 - 5*h - 1470. Let k(b) = -144*b**2 - 3*b - 981. Let v(u) = 8*k(u) - 5*o(u). Differentiate v(q) with respect to q.\nAnswer: -144*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 19. Suppose 2*q = -3*v - 2*q + 10, -12 = -5*v - 2*q. Let p be (a - 3)*(v - 3). Solve 2*i - 3 = -p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1786593, 1786596, 1786599?\nAnswer: 1786602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 256380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.39 + -1.61. Which is the closest to -1\/3? (a) q (b) -3\/5 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*x**4 + 9\/2*x**2 + 15\/8*x**3 - 27\/2*x.\nAnswer: -3*x*(x - 6)*(x - 2)*(x + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 c when four letters picked without replacement from {c: 2, m: 10, l: 3, v: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/67 (b) 70 (c) -6\/7 (d) -0.013 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(0*q**2 + 0*q**2 - 2*q**3)*(-13*q - 8*q**2 + 13*q) + (0*q + 5*q + 0*q)*(11 + 3*q**3 + 11 + 357*q**4 - 358*q**4).\nAnswer: -37*q**5 + 15*q**4 + 110*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 98, 3, 4 in descending order.\nAnswer: 98, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 28, 4, -2 in increasing order.\nAnswer: -2, 4, 28, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 - 91272*p**2 + 193109*p wrt p?\nAnswer: 24*p**2 - 182544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/921, -180\/17, 51, 3\/7?\nAnswer: 2\/921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let g = -94 - -38. Let r(o) = -o + 1. Let m(p) = -2*p + 20 - 5*p - 5*p - 6. Let s(a) = g*r(a) + 4*m(a). What is s(d(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.153\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97002810 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*h - 28, 2*p + 4*h - 2 = 18. Let y be (-4)\/(-16) + p\/(-8). Suppose 105 = -y*v + 3*v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 18 = -2*f, -3*f + 0 = -3*h - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 891952384 to the power of 1\/2, to the nearest integer?\nAnswer: 29866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttkkkqktktkkqkqk. What is prob of picking 1 q and 3 k?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 57873 - 29685 = 0. Suppose -114593 = 8*p - s. What is p rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 742922*b**3 + 3063038*b wrt b?\nAnswer: 4457532*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384308?\nAnswer: 2, 29, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -266, -400, -536?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9007614 by 18.\nAnswer: -500423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8048.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*h + 119*h = 3136. What is the greatest common divisor of h and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54097, -54104, -54115, -54130, -54149, -54172?\n\"Answer: -2*y**2 - y - 54094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/45*(-10)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 31. Let p = -33 + 22. Let b be m(p). Let g be (1 - 10\/(-4))*b. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 28 + 7*n**3 + 1\/6*n**4 - 1\/40*n**5 + 0*n**2. Let y(c) be the third derivative of o(c). Calculate y(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**2 - 17\/6*g**3 + 13\/12*g**4 + 0 + 0*g. Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*z + 0*z - 10 = 0, -z + 5 = j. Suppose 17 = -w + 5*k - j*k, -w + k - 1 = 0. Solve -3*i + 15 = 3*b + 2*b, b + i = w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*d + 3. Suppose 0 = 4*x - o - 37, 0 = 2*x + 4*o - d. Suppose x*s - 215 = 4*s. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3924740 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (25*2)\/2*(-1794)\/(-73255)*-49\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n - 3. Let w = 13 + -4. Let t be b(w). What is t rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93448 is divided by 45931.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -231 divided by 231\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 5*k**4 + 3*k**4 + (-4 - 3*k + 4)*(k**3 + k**3 + 0*k**3).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 t, and 1 x when four letters picked without replacement from {x: 4, b: 6, t: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34669, -139066, -313059, -556648, -869833?\n\"Answer: -34798*u**2 - 3*u + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 11*w**3 + 1 - 1.\nAnswer: -11*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -26666.745\nAnswer: 26667.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -140, -8, -5, 9 in decreasing order.\nAnswer: 9, 3, -5, -8, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 4 (c) -54 (d) 0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 45*k**2 + 90*k + 247. What is h(-43)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**2 + 9*x - 47. Let p be q(-2). Solve j - r = -6, r - 14 + p = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -37. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 33128.\nAnswer: -3\/16564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-35))\/(4\/(-14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from jajjjajgaam.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*k + 76019823 = 48*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {c: 3, b: 1, y: 4, w: 6}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13375, 13473, 13571, 13669?\n\"Answer: 98*s + 13277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.48869ml in litres?\nAnswer: 0.06348869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -119 + 514?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 5*x - 3*x + 150. What is the remainder when 395 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 3*p + 65646 - 65626, 5*g = -3*p - 29 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*p + 3450505 + 2600786. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.3661477 - 0.15?\nAnswer: -524.5161477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 11*k + 27. Let c be j(-13). Let x be c + 44\/36 + -2. Factor -2\/9*i**2 - x + 4\/9*i.\nAnswer: -2*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(((-22896)\/(-5376))\/(-159)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3692, -6647, -11572, -18467, -27332, -38167, -50972?\n\"Answer: -985*i**2 - 2707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54360.79g?\nAnswer: 54.36079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 18 - 45 - 3*r in the form q*r + n and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7133326 (base 8) to base 5.\nAnswer: -440204224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73531624129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22427325.\nAnswer: 3, 5, 263, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1574586*b**3 - 13851*b**2 + 7*b - 37.\nAnswer: -9447516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**38\/(l\/(l**(-10)\/l)) assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*42\/63*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 6374 + 6194 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -292?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 325826*z - 1303277. Give q(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 597 = -312*r + 979 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1558930.04208868 - -0.15791132. Let m = b + -1558931.5299911. Let x = 1.33 + m. Round x to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777 by 3.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-4) + -10 + (-34)\/(-52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 - -35. Let p = 192 + f. Which is the nearest to 2\/3? (a) 0.1 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 + 24. Let y be b(0). Let p = y - -5. What is the closest to p in -2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five quarters of a litre in millilitres?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -9732 + 9733.5952. Round p to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.256014 less than 0.00542778?\nAnswer: -8.25058622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibqdododd. Give prob of sequence bbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 691065 - 691072 + 1382134.\nAnswer: -8*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m. Let i(u) = u**3 - 7*u**2 + 5*u + 8. Let k be i(6). Solve m = -4*c + k*j, 16 = 3*j + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 + 4*o - 4. Let g be 3 + 10\/(-2) - -8. Calculate the remainder when 59 is divided by v(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*g**5 + 44*g**3 - 26005*g**2 wrt g?\nAnswer: -5460*g**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1773 divide 47798165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:54 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u - 110*u**2 - 222*u**2 - 56*u.\nAnswer: -332*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 223295437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5061.4 + -5060.8. Let k = -0.03 + 0.43. Which is the third smallest value? (a) k (b) -3 (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1810 + 3*r**2 - 2*r**2 - 1810 - 191*r**3 + 2*r**2 wrt r?\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*j - 373 = 0, -5*l - 79 = j + 303. Calculate the remainder when -9*14\/(-21) - l is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/6 (b) -2\/11 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -3*l**5\/80 - 3*l**4\/8 - 9*l**3\/8 - 3*l**2\/2 + 29*l. Determine x so that r(x) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z - 8 + 4*z + z**3 - 2*z**2 - 7*z**2 + 0*z**2. What are the prime factors of b(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/11404 + -3010649\/79828. Let r = -38 - t. Which is the biggest value? (a) 2\/19 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5883 and 78059085?\nAnswer: 4137131505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2192809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -121.673 and -0.16.\nAnswer: -121.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eedj when four letters picked without replacement from ejejhjjnd?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3575b1?\nAnswer: -3575b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + a = -6, -r - 2*a = -0*a + 3. Let y = r + 105. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.295973ms in nanoseconds?\nAnswer: 5295973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w. Suppose -7*v = -14*v - 14. Give q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3750*k**3 - 1871*k**3 - 1877*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b8 (base 13) to base 15.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {t: 2, x: 1, r: 1, q: 1, z: 3, v: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/224771 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -0.00995?\nAnswer: 0.20895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -287, -593, -1021, -1571, -2243?\nAnswer: -3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1528? (a) 0.3 (b) -1\/5 (c) -1\/4 (d) -4\/5 (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 6*j + 0*j**2 + 0*j + 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/8*(-2)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-495)*4*(18\/3 + -5 - 0)\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 81*z**2 - 843*z - 296. Give h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 2 + 44*r**3 + r - 38*r**3 as y*r**2 + k + h*r**3 + q*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/702)\/((-1168)\/11388).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (-3 - 3) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36377 + -36467 + (0 - 0 - -1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 154 = -0*z. Let a = -77 + z. Solve -3*l + 2 - 5 = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -919, -1918, -2927, -3946, -4975?\n\"Answer: -5*v**2 - 984*v + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 247383311 to the power of 1\/2, to the nearest integer?\nAnswer: 15728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whc when three letters picked without replacement from hhhcpwhhwhphh.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(-2*r - r**2 + 2*r) + 2*r - 11156*r**2 + 10393*r**2 - 2*r as z*r**2 + a*r + i and give z.\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19648 + -19647.91971. What is r rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k + 30. Suppose 0 = 6*j - 3*j - 3. Let y(z) = -z + 1. Let v(m) = j*c(m) - 25*y(m). What is the derivative of v(r) wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 50*k**2 - 279*k - 3943. Give m(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*w - 0*w - 16, 2*p - 4*w - 22 = 0. Let o be ((-4)\/10)\/((-2)\/90). Let v(y) = -2*y + 4*y - 5 - 13*y**2 - y**3 + o*y**2. What is v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15330)\/5256*2\/(-42)*-2*4\/1.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r + a - 9917, 4*r + a - 19833 = 0. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Suppose 5*f + 5 - 10 = 0. Let s(n) = n + 3. Suppose t - 4*t = 4*g + 11, t = -3*g - 2. Give f*s(z) + t*r(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 145810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let r(i) = 5*i + 10. Let x(j) = -2*d(j) + r(j). Let p be 2\/(-1)*-1 - 0. Let a be x(p). Is 13 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(2\/412). Suppose 0*n**2 - n**2 + 515*n - a*n - n**3 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 3. Let k(c) be the first derivative of 3*c**2\/2 - 2*c + 2. Calculate 7*k(w) + 5*r(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h - 576. Let z be (-4)\/9 - (-6681536)\/h. Round z to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679912953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -1. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - (-28)\/(-5). Let d be 35\/(-84)*j\/(-20). Let u = 5.1 + -5. What is the nearest to u in 4, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 523\/(-5) - (-2)\/(-5) - -5. Find the common denominator of (6\/n)\/(36\/(-1110)) and -27\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 + p + 13. Let c be w(6). Calculate the highest common divisor of c and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37348?\nAnswer: 2, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - r**2 - 7*r - 41)*(-4*r**2 + r**2 + r**2).\nAnswer: 2*r**4 + 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/37)\/w*w)**(2\/9) assuming w is positive.\nAnswer: w**(-4\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37888390 greater than or equal to 37888391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17928 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101011 - -1010?\nAnswer: 111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*r**3 + 2\/5 - 2\/15*r - 2\/5*r**2 = 0. Calculate r.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/(25\/15)*6360\/(-206064).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 19) + (-38 + (-7 - (2 - 19)) - -13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -602497440 divided by -371912?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13734 divided by -9?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23709, 47378, 71011, 94608, 118169?\nAnswer: 141694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Let q be ((-4)\/f)\/(-4*(-2)\/20). List the prime factors of q - (-154 - -4) - 3.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let j(l) = -96716693*l. What is v(j(d))?\nAnswer: -9354118704856249*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/y**(-4))\/y)\/y)**(6\/7)\/((y**(-3\/10)\/y*y)\/(y*y\/((y\/(y**(2\/7)*y*y))\/y))) assuming y is positive.\nAnswer: y**(621\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u + 5*u + 7726 - u**2 - 7742. What is t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 4*r + 9. Suppose 50 = 48*u - 44*u - x, 5*x = 12*u - 146. Let j(z) = -2*z**2 - 2*z - 5. Determine u*j(c) + 6*m(c).\nAnswer: -2*c**2 - 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**2*y**4 + 4*v**2*y**2 + 6*v*y**3 + 42*y**4 + 13 wrt y?\nAnswer: -48*v**2*y + 36*v + 1008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13)*(-50)\/(-50).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -21.1. Let x = h - -4.9. Let u be -10 + (40\/(-400))\/((-1)\/108). What is the second smallest value in 1, x, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from qxeexqeqe?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*y - 64 = 0, 37*r + 5*y - 30 = 32*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 2*n + 7*n**2. Suppose -251 = -5*f - 3*q + 7455, -5*f + 5*q + 7730 = 0. Let r(v) = f - 1543 - v**2. What is r(h(j))?\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*v = 307*v - 1365. Let f(m) = -21*m - 1. Let u(q) = -2*q. Let j(k) = 2*f(k) - 22*u(k). What is j(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4807067 weeks to seconds.\nAnswer: 290731.41216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 + -270. Suppose 0 = 3*c + i - 74, 3*c + 5*i = -2*c + 140. Calculate the highest common factor of k and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8191 by 9.\nAnswer: -8191\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(4 - 4 - 13*q).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -700*v + 64. What are the prime factors of a(-7)?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 7.5\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473 - -480. Let i(h) = l*h + 9*h - 11*h. Let u(z) = -17*z. Calculate i(u(s)).\nAnswer: -85*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140038.\nAnswer: 2, 70019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -854.170481 and -35535.\nAnswer: -36389.170481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 4 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11873 = -66*x + 69*x, -35611 = -9*x - k. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:51 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444212 + 88*t**2 - 45*t**2 - 444219.\nAnswer: 43*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wwwmmmwmwwmmw.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78857\/12 - 6546. Let a = -505\/24 + k. Is 5 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t + 2*u = 346, -2*t - 5*u = -130. Suppose -5*s + 7*m = 3*m - 175, 2*s - 5*m = t. Solve 2*k + 33 = -5*i, -5*k - i - 2*i = s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6075 divided by -45.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 4*m + 2*m)*((4 - 1 - 1)*(-3 - 3 + 5) - 4 + 4 - 2)*(1 - 4 + 1).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2242, -12585, -31032, -57583?\n\"Answer: -4052*f**2 + 1813*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241480 is divided by 225?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {i: 8, s: 1, l: 2, e: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42254626 (base 7) to base 11.\nAnswer: 2023314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2422*s**2 + 359*s**2 + 40*s + 3*s - 43*s to the form u*s**2 + l + w*s and give u.\nAnswer: 2781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -171*a + 7198. Determine y(42).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 12*t**2 + 17*t - 4. Let r be l(13). Which is greater: r or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**2*t**3 + 8244*q**2*t + 4*q*t**5 + 71*t**3 wrt t.\nAnswer: -6*q**2*t + 80*q*t**3 + 426*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11936, -11116, -10296, -9476, -8656, -7836?\nAnswer: -7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 12:25 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -2 + sqrt(99) + -2 - ((2*sqrt(99))**2 + 5)*-6)*-4.\nAnswer: 12*sqrt(11) + 9624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(288))\/(sqrt(6) + -5*-2*sqrt(6)).\nAnswer: 20*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-10))\/(1428\/7140)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42979350?\nAnswer: 2, 3, 5, 349, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385, -1379, -1373, -1367, -1361, -1355?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 29143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 plus 135?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 7*z + 16. Let p be m(-8). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:57 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0224 times -0.32?\nAnswer: 0.007168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 27*j**2\/2 - 25*j.\nAnswer: -j*(j + 2)*(j + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:09 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/1 - (21\/(1155\/(-242)) - (-1326)\/(-510))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10507 - -10519. Solve -q*h + 2853 = 2901 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 42 - 42.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84207*m = -3*i - 84211*m + 19, -4*m - 11 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5\/2*k**3 - 2 + 4*k + 7\/2*k**2 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*x**2 - 2443811*p**3*x - 14*p**3 + 7886*p**2 + 3*p - 2 wrt x?\nAnswer: -2*p**3*x - 2443811*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 + 106*r**2 + 8*r - 424 = 0 for r.\nAnswer: -2, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:29 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.48143ml in litres?\nAnswer: 0.04848143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r + 4*j, j + 6 + 0 = 3*r. Let l = r - 2. Let a(v) = 8*v + 4*v - 5*v. Give a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose -4*r + 56 = -2*l - 28, y*l + 108 = 5*r. Calculate the least common multiple of r and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 546130?\nAnswer: 546118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b**4 - 93570*b**3 + 907420*b**2 - 2704030*b + 2559025 = 0. What is b?\nAnswer: -2089, 7\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2654520 and 145\/108594.\nAnswer: 23890680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 3*s. Let o(d) = 0*d**2 + 3*d**2 + 0 - 3*d + 0. Let g(m) = 5*j(m) + 6*o(m). Find the second derivative of g(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1949 + 1905. Which is the smallest value? (a) q (b) -1 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - 2*s**2)*(-3*s**3 - 4*s**2 + 4*s**2) + 0*s**5 - s**5 + 0*s**5 - 27*s**5 - 12*s**5 + 8*s**5.\nAnswer: -35*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 11:51 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -67 in increasing order.\nAnswer: -67, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -331, -963, -2189, -4207, -7215, -11411, -16993?\nAnswer: -24159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -958 and -119418475356.\nAnswer: -119418476314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from xwiw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1183, 2, -3, 4, -2 in increasing order.\nAnswer: -1183, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from canazzaz. What is prob of picking 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:23 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*h**5 - 12*h**2 + 5027*h.\nAnswer: 1780*h**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -5. Let m = 4 + j. Let k = -0.5 + m. Which is the nearest to 0.2? (a) -2 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/160 and 16\/35?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01632 - 8.98368. Which is the biggest value? (a) y (b) 2\/13 (c) 1\/10 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1059, -3, 295, 5 in descending order.\nAnswer: 295, 5, -3, -4, -1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r**3 + 20*r**2 + 68*r - 10. Let k(u) = -u**3 - 2*u**2 + 1. Let a(t) = -12*k(t) - y(t). Find the second derivative of a(i) wrt i.\nAnswer: -36*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -31*v**3 + 17667*v**2 - 3924927*v + 3907280. Let d(h) = -6*h**3 + 3534*h**2 - 784986*h + 781456. Let p(z) = 11*d(z) - 2*r(z). Factor p(f).\nAnswer: -4*(f - 442)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(-4*d + 8*d - 7*d + 19) to the form z + n*d and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5209, 10194, 15225, 20326, 25521, 30834?\n\"Answer: 4*t**3 - t**2 + 4960*t + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 0.789.\nAnswer: -1.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -0.005 (b) -5 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341 - 51004?\nAnswer: -50223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -10011111111100110?\nAnswer: 10011111110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 210230 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0\/j)**(2\/9)*j\/(j\/j**5)*j*j*j**5\/j*((j\/((j\/j**(-3))\/j))\/j)\/j*j**(-1\/11)*(j**(2\/3)*j*j)**(-50) assuming j is positive.\nAnswer: j**(-4172\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45243 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 16*z**3 + 1 + 23*z**3 - 5*z**2 - 77*z**3.\nAnswer: -70*z**3 + 10*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 - 2201019*m**2 + 2201020*m**2 + 52 + 0*m - 4*m to x*m**2 + j + l*m**3 + z*m and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frft when four letters picked without replacement from {q: 2, r: 3, f: 4, t: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/2240*(185\/40 - 4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**26)**6*(p\/p**(-5\/3))**(1\/4) assuming p is positive.\nAnswer: p**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-966))\/((-39)\/(-36) + 10\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xygzzzggzzffykg. Give prob of picking 2 g and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/(6\/((-66)\/(-11))). Suppose 4*y - u = 559. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*p + 600*p - 320 = -598*p + 1807*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b8 (base 13) to base 15.\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118482*s**3*t**3 - s**3*t - 58*s**3 - 3003 wrt t.\nAnswer: 355446*s**3*t**2 - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -21*b + 10*b + 165380. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -22*z - 16. Let f(o) = 31*o + 11. Let t(b) = 2*f(b) + 3*n(b). What is t(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*q. Suppose -3*h = -q*h + 4*v - 3, v = 4*h - 4. Suppose j - h = -0. Calculate the least common multiple of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.2, -2\/3, -1\/4, 1\/5, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 10. Suppose -2*w - 154 + 56 = 0. Let v = 588 + -530. Let t = v + w. Determine r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 5*b**2 - 5*b - 2. Let a be 8 - (5 + 1)\/3. Suppose -2*k - a - 2 = 0. Calculate w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9769526, 9769525, 9769524, 9769523, 9769522?\nAnswer: 9769521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 69685?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, v: 1, l: 2, q: 2, w: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 146294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215.394 + 216. Let t = f + -0.206. Which is the third smallest value? (a) 80 (b) t (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-5))\/(1773\/297 + -6). Solve v*b - 31*b = -10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/5, -182, -2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-4)\/(-28) - 261\/7. Let q = i + 100. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l + 2. Let j be d(3). Let y be (15\/35)\/((-3)\/21) + 20. Put y, -1, -2, j in ascending order.\nAnswer: -2, -1, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368)*-4 - -4*sqrt(266)\/sqrt(7))\/((sqrt(162) - (sqrt(162) - (-1*sqrt(162) - sqrt(162)))) + (sqrt(98) - 5*sqrt(98))).\nAnswer: 10*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 112067584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*m + 326, -269*m + 266*m = 4*b - 331. Let y(w) = w**3 - w**2 + w + 79. Let l be y(0). Let n = b - l. Is n greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1 = 60443*n - 60444*n, -3*n + 3 = -2*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201729686, 201729688, 201729690, 201729692, 201729694, 201729696?\nAnswer: 201729698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Suppose m - 3*z = 19, -3*z = -b*m - 0*m + 26. Solve -2*g + 20 = -m*g, -u - g = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17111136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*o = 2, -72*o + 75*o - 9 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24475429705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 3*t + 2*t - 2. Let x(r) = 7*r - 3. Give 3*g(j) - 2*x(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10273 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 - 2818\/5. Which is bigger: -1.25 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Suppose -19 = 6*j - 19. Put r, 2, j, 1 in decreasing order.\nAnswer: r, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (0 - 42\/4). Which is greater: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nihwhiwinih. What is prob of sequence niww?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(-3 + sqrt(1539) + sqrt(1539) + (sqrt(1539) + sqrt(1539)*3)**2 + -3 + -2).\nAnswer: 18*sqrt(19) + 24615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2720433 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from lnslscksllnl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/5623468 and 123\/40.\nAnswer: 56234680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*w = 351, 5*w = -5*p - 0*p + 355. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 63 = -287. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 9*d - 2212 = 0. Let l = d + -3071. Let i = l + 53065\/27. Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -544? (a) 5\/252 (b) 6 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1380181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xjxxxxjbjjgnnxgx?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -51. Let k(w) = -9*w - 1 + 1. What is the units digit of k(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.87 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 495664258 + -725694258. What is j rounded to the nearest 1000000?\nAnswer: -230000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 8, a: 3, m: 3}. Give prob of sequence mam.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**4 - 2*l**3 + 2*l**2 - 6*l + 6. Let p(o) = 3*o**3 - 7*o**4 + 6*o**4 + 5*o - o**2 + 2 - 7. Let x(r) = 5*h(r) + 6*p(r). Solve x(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 5 (c) 1 (d) 1\/3 (e) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*14 - 1. Suppose -3*d - 15 = -n*d. Solve -10 = -o - 0*o - 3*v, 0 = d*o + 5*v - 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 603.5742km?\nAnswer: 603574200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4*u + 32*r**4*v + 4*r**3*u + 5*r**2*u*v + 10*r**2*v wrt r.\nAnswer: 24*r*u + 768*r*v + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -787 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-30))\/((-3)\/18))\/(33\/10)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*t**3 - 3*t - 387*t**3 + 3*t - 117*t**2.\nAnswer: 3*t**3 - 117*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 811 - 533. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwnezvjvvwwezwjwwz. Give prob of sequence wej.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139\/255 + -14\/255. Which is the closest to 5? (a) -3 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197\/4*s - 7\/2*s**2 - 7\/2 = 0 for s.\nAnswer: -14, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 52 = -5*l, 5*l - 14 - 46 = -5*m. Suppose 18 = 2*r - r. Calculate the least common multiple of m and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 + 14273*d**3 - 50965302*d**2 + 254555388*d - 305363736 = 0.\nAnswer: 2, 3, 7134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-4 - 1 + 2)*(-17*g**3 - 21*g**3 + 6*g**3) in the form q*g + x*g**3 + z*g**2 + n and give x.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44211088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from otsss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/4 - 219*z**3\/4 - 105*z**2\/2 + 108*z = 0 for z.\nAnswer: -72, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*n**5 + 1375*n**4 - 690*n**3 - 3235*n**2 + 2960*n - 660 = 0. Calculate n.\nAnswer: -11\/2, -2, 2\/5, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 16775602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 131. Suppose -17 - 1775 = -56*l. What is the greatest common divisor of h and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397298?\nAnswer: 2, 11, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*p. Suppose p*s = 5*r + 29, -s + 4*r + 8 + 11 = 0. Differentiate -s*i**2 - 2 + 1 - 3 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -27401.\nAnswer: -27400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 8*k**2 - 10*k - 3. Is w(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 47*v - 76. Let a be 7\/(((-1071)\/(-510))\/(66\/10)). Give d(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10856403, -10856410, -10856423, -10856442, -10856467?\nAnswer: -10856498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + -14 - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.523 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 y when three letters picked without replacement from {s: 1, b: 1, a: 1, m: 2, y: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-4)*((c\/(c\/(c*c\/(((c\/c**(-1\/4))\/c)\/c))))\/c)**(-9) assuming c is positive.\nAnswer: c**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.57, -10\/3 in descending order.\nAnswer: 1.57, -10\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 42*a**2 + 39*a - 1. Let r(k) = -28*k**2 - 27*k + 1. Determine -5*n(b) - 7*r(b).\nAnswer: -14*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2)\/(sqrt(144) - (sqrt(144) + sqrt(144)*2) - sqrt(144)) + 1 + 6*(-2 + (sqrt(605) - (sqrt(605) - (sqrt(605) + 1)) - sqrt(605)) + -1))**2.\nAnswer: -44*sqrt(5)\/3 + 1109\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80 + -5?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8*h + 7 + 1 - 1 - h + 2*h + 2*h - 2*h + 2 + 2*h - 2 + (-3 + 0 + 2)*(5 + h - 5) + 2 - 2 - h)*(0*h + 3*h - 5*h - h**2).\nAnswer: 7*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 8*o**2 + 9*o + 6. Determine t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1196 - -1403. Calculate the lowest common multiple of o and 60.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2547 + -2538. What is the lowest common multiple of s and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 2*z - 1. Suppose -h = 2*h - 6. Let m be r(h). Let i = m - -2. Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/54)\/((-10)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, g: 3}. Give prob of picking 1 j and 2 g.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-24)*(-6)\/(4\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let n be -2*(-3)\/(-6) - -3. Let g(b) = 2 - 4*b**n - b + 1 + b**2 - 3*b. Let f(r) = -2*a(r) + g(r). Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.12 + -12.12. What is the second biggest value in z, 2, 16\/3, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (849 - (1 - 2)) + 0. Suppose -4*l + 9*l = -n. List the prime factors of (4\/5)\/((-4)\/l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -8. Let a = 38 - t. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*p. Suppose 4*v + p*c = 0, -3*v - 2*c - 1 = -2*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -136, -4, 0.\nAnswer: -136, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -59176 >= -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 599 + 83 = 0. Solve -4*i = -3*s + 8, 1 = -23*s + a*s + 5*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times 0.2?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42412 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: Let o(a) = 3*a**2 - 66*a + 528. What is o(14)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72542425.\nAnswer: 5, 53, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 21274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98150, 196310, 294470, 392630, 490790, 588950?\n\"Answer: 98160*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4872*t = 4868*t - 10, -5*i - 3*t - 13 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3754 and 12446387?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*y - 1070, 2*b = y - 570 + 127. Let u = -63074828\/287721 - 1\/31969. Let h = u - b. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -329, -1304, -2931, -5210, -8141, -11724, -15959?\n\"Answer: -326*t**2 + 3*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k. Suppose 7*p = 74 - 11. Let j(q) = -p*q + 12*q + q. Determine o(j(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b**3 - 25*b**3 + 192*b**3 - 102*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 4*h - 2. Let g be u(-3). Let q = -190 + 192. Suppose -26 = -i - q*w + g, -2*w = 0. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.56 + 2. Let r = 1.11 - t. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -50 + 30. Let a(b) = -b + 6. Let y(v) be the second derivative of -v**3\/6 + 7*v**2\/2 - v. Give r*a(l) + 4*y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.1, 159477, -2\/7 in increasing order.\nAnswer: -2\/7, -0.1, 1\/7, 159477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*g**3 - 89*g - 42*g**3 + 2 - 43*g**3 in the form j*g + c + o*g**3 + r*g**2 and give j.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**8\/168 - 2*j**7\/105 + j**6\/60 + j**2\/2 - 2*j. Let f(b) be the first derivative of d(b). Factor f(c).\nAnswer: 2*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00420499 to 5 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26262 divided by 13131?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4*(-6)\/(-72)*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 103 - 170 = 3*w - 14*c, -28 = -4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-14)\/105)\/(156\/65)*-46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 10. Let t be ((-9)\/(-2) + -3)\/(6\/8). Let f(b) = -58*b + b**2 + 0*b**t + 58*b. Give f(m(v)).\nAnswer: 9*v**2 - 60*v + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024 smaller than 66535\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -12, -5, 8, -4, -6.\nAnswer: -151, -12, -6, -5, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = 0, -6*f - 1 = -2*a - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:51 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12565.08168 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11.51 (b) 12 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -27*r**3 - 1. Let x(n) = -4*n + 7. Let v be x(2). What is the tens digit of q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + w**2 + 23*w**4 - 9*w**4 - 4*w**2 - w - 2 to j*w**2 + i*w**3 + f + h*w + v*w**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12440 (base 7) in base 14?\nAnswer: 12c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-72)\/48*66\/6633)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180)\/sqrt(4))\/sqrt(9))**2 + -2.\nAnswer: -6*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.420451 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - -1.95. Let b = x + -2. What is the nearest to b in 0.5, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 13 = -4*u - 27, -4*u + 20 = -z. Let r be (z\/10)\/(6\/(-40)). Suppose -j - j = -r. Solve -3*f + 6 = 2*v, -j*v + v = 4*f - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36514051687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -87*u - 2743 + 1124 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(8 + 7)\/30. Solve -4*x - 3*w + 25 = c, 4*x - 2*w = 3*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 32. Which is the third smallest value? (a) -0.4 (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 - 14*o - 11. Let d(l) = 3*l + 19. Let u be d(-9). What is the units digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 3 (c) -2 (d) -0.2 (e) 2\/3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**11)\/c)\/c*c**(1\/6)*c)\/(c**8*c**(-5\/3)*c))**(1\/31) assuming c is positive.\nAnswer: c**(-109\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*n + 35, -35 = -5*n - 3*x + 5*x. Let f = -15 - -10. Let y = 596 - 595.9. Sort y, f, n.\nAnswer: f, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 3, v: 2, l: 3, n: 1}. What is prob of picking 1 r, 1 n, and 1 l?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - q = -2, 0 = -5*a - 2*q + 3 - 2. Let k be 6\/(3\/(-6) + 2). Put a, k, -2 in ascending order.\nAnswer: -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32867 divided by -1\nAnswer: 32867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 624255 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -17. Suppose 0 = 4*k - u - 26. Calculate the highest common factor of 80 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (450 + 230 + 323)*(-63*n**3 - 66*n**3 + 99*n**3) as b + t*n**3 + r*n**2 + o*n and give t.\nAnswer: -30090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 6399140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, 0, 31, 86, 171, 292, 455?\n\"Answer: c**3 + 3*c**2 - 3*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/4 - 11*g - 104 = 0?\nAnswer: -8, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Solve 0 = -5*w - 4*j + 21, u*j - 6 = -2*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (9 + 5 + -2)) + -32\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -28*n - 1. Determine t(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -424456 - -424445. Suppose -4*d + 0*d - 44 = 0. Is d at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (1 - 3)\/2. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7)\/f*f*f**(-6)\/f*f)**(-13\/2))**(-44) assuming f is positive.\nAnswer: f**(-9438\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 28 = 4*a, l - a = -2*l + 32. Is 6\/l - (-712)\/5 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70072 - 101690. Let b be (-6)\/(-24) + c\/8. Let u = 43524\/11 + b. What is the common denominator of -17\/10 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 132242?\nAnswer: -132234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -23*x**4\/2 + 47*x**3 - 50*x**2 + 4*x = 0?\nAnswer: 0, 2\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 24\/7411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (6\/(-3) + -239) is divided by 68.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + -20. Let a = -38 - w. Which is smaller: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -j - 5*t + 80, 3*j = 2*t + 207. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:09 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 281 = -779. Solve -q*f = 88 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2 + 2*d + 1. Let j be -1*(2 - 0)\/2. Let u be r(j). Let t = 12 - u. Let x(m) = 5*m - 1. What is x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/206 and 75\/8?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5323?\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23128*i**3 - 129634 wrt i?\nAnswer: -69384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmbbc. Give prob of picking 1 z and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51064.01268 and 0.2.\nAnswer: 51064.21268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4 + 70*g + 1 + 75*g - 145*g + 4*g**2. Suppose 6*u - 4*u - 10 = 0. Let m(l) = -9*l**2 - 11. Give u*a(b) + 2*m(b).\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.9739 meters to centimeters.\nAnswer: 52197.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7699 - 7699 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2751326936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000421021 + 54?\nAnswer: -1000420523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**4 + d**3 + d**2 + 2*d + 3. Suppose 0 = 6*f - f + 15. Let t(k) = -k - 1. Let p(m) = f*t(m) - y(m). What is s in p(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 145. Let u = -101 + w. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 90*v**2 - 277*v + 1550. Determine h(87).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 1. Let l be 3 - (-3 + 3\/r). Which is the closest to 0.2? (a) 0.2 (b) l (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3 - 39*t**2 - 140*t = 0.\nAnswer: -35, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 141058*s + 1128501. What is o(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-48)*((-123)\/820)\/((-2)\/72)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10221768 to the nearest integer?\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5120*o = 2086*o - 526038 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-2)*(-66)\/(-27)*150\/275?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-4)*-1*6910\/(-10365)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*b - 2*b + 25 = 0, 4*b - 20 = 2*k. Let f = k - -5. What is the remainder when ((-9)\/6)\/(2\/(-12)) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 3}. Give prob of sequence bq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43510, 86675, 129840, 173005?\nAnswer: 216170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/52546 and -53\/344.\nAnswer: 210184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 156*t - 420. Let w be f(17). Suppose 4*y + 5*k - 49 = 0, k = -y + 6*y - 54. Suppose 7*i = y*i - w. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + 5*t**3\/3 + 6*t. Let x be k(10). Suppose 5*l - 59 - 131 = x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -15, -20, -25, -30?\n\"Answer: -5*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -745, -1422, -2113, -2824, -3561, -4330, -5137, -5988?\n\"Answer: -r**3 - r**2 - 667*r - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 36. Calculate the greatest common factor of z and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 109*p**7\/42 + 315*p**4\/8 + 799*p**2. What is the second derivative of o(g) wrt g?\nAnswer: 6540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232*j**6 + 511064*j**5 - 246523518*j**2.\nAnswer: -27840*j**3 + 30663840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483 is divided by 155.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**28)**(9\/13)*((p**(-1)*p)**(-1))**(-30) assuming p is positive.\nAnswer: p**(252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 + 280. Suppose 131*u = z*u - 10. Suppose -u*k + 22 = 14. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -395*n**3*x**2*y**3 - 2*n**3*x**2 + 6*n**3*x + 4*n**3*y**2 + 2*n*x*y - 2*x**2 - 5*x*y**2 + 2*y**3 wrt x.\nAnswer: -790*n**3*y**3 - 4*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 4. Let k be m(-3). Suppose 93 = -k*l + 10*l. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 6179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120273848 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18868250693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -11 + (-6)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173897.\nAnswer: 173897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = 6. List the prime factors of (-3)\/a*(-4 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15021.\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:08 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106140, -106139, -106138, -106137, -106136?\n\"Answer: q - 106141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198.556 grams in micrograms?\nAnswer: 4198556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 - 4*h**3)*(-1 + 1 - h) + 0*h**4 + 2*h**4 + 0*h**4 + (-2*h**3 + 5*h**3 - 4*h**3)*(-h - 2*h + 2*h) + 3*h**4 + 130257 + 4*h**4 - 130260.\nAnswer: 14*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -627, -941, -1255, -1569?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 8139726.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/4 + 8*z**3\/3 + 6*z + 2. What is the units digit of f(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/(-2))\/((-9)\/234). Let w = l - 7. Let z = w - 148. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1877*u - 25999. What is f(14)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 17*r**2 + 8. Let b be x(-7). Suppose -5*d + o + 1020 = 6*o, -o = -2*d + 408. Let i = b + d. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 445664839 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 2067103?\nAnswer: 2067096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen sevenths of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/599760 and 137\/2698920?\nAnswer: 5397840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*b, -x - 5*b - 35 = -6*x. Suppose 3*z = x*z - 4000. What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. Let g be ((-6)\/4)\/(d\/(-2)). Suppose -g*j - 5*t + 26 = -2*j, 5*j = -3*t + 64. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 (base 10) in base 4?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/((-15)\/(-30)). What is the biggest value in 0.3, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33\/35 - -4\/5. Let n = 0.456 + -8.456. Which is the biggest value? (a) n (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:19 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let c(z) = -422071959*z. What is c(g(h))?\nAnswer: 422071959*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1063180 - -3?\nAnswer: 1063183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 230773897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15690.\nAnswer: 2, 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215.5 + -538.5. Is -6 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396815?\nAnswer: 5, 19, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 4*y - 4*y)*(41859*y - 15 - 989*y + 9 + 6).\nAnswer: 40870*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*x**5 - 120*k**2*x**2 + 135*k**2 - 2*x wrt x?\nAnswer: 40*k**2*x**3 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 1.38, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in 1, -2\/5, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31029707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 2*d, 5 = 2*d + 1. Let s = 4 - 3.9. Let j = -4.1 + s. Which is the biggest value? (a) 0.2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-49)\/((z*z**(-7\/5))\/z)*(z**(10\/9)\/z)\/z**1 assuming z is positive.\nAnswer: z**(-2182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 + z**3\/2 + z. Let u(d) = 5*d + 98. Let o be u(-19). Let a be v(o). Solve a*w = 4*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 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: What is the derivative of -20*p**4 + 2*p - 24 wrt p?\nAnswer: -80*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 30) - 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = t + 22*u - 30, 0 = 3*t + u - 13. Let s(x) be the first derivative of -1\/8*x**4 + 1\/18*x**3 + 20 + 1\/4*x**t - 1\/3*x + 1\/30*x**5. Factor s(k).\nAnswer: (k - 2)*(k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198*h - 198*h - 240 + 108*h - 6210*h**2 + 3*h**3 + 6165*h**2.\nAnswer: 3*(h - 20)*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22636.\nAnswer: 2, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -74, 0, 66, 0.4, -1689, -1\/4?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233350339 to the power of 1\/2, to the nearest integer?\nAnswer: 47258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 2743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:26 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(153)*-1 + -1*sqrt(153)*3)\/(sqrt(45)\/(sqrt(5) + (sqrt(5) - sqrt(180)*2))*-2).\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147 + -5?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1223*u**2 + 40*u + 6. Let l(t) = -408*t**2 + 14*t + 2. Let h(g) = -11*l(g) + 4*v(g). What is the second derivative of h(y) wrt y?\nAnswer: -808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-54)*14*-1?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300*c**5 - 4812*c**3*h + c**2*h**2 - 50*c*h**2 - 2*c*h - 15*c + 378*h**2 + 2 wrt c?\nAnswer: 6000*c**3 - 28872*c*h + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4300 - 3?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 2, d: 4, g: 4, w: 3, y: 1}. Give prob of picking 1 i and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 3 + 2 + 1 - 5*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 572396 and 572275 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/25 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 10, -10, -30, -50?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-42)*27*1. Put a, 1, -1 in descending order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/10 and 47\/175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186884?\nAnswer: 2, 19, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 13756608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-5) + 34\/170 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 8. Solve 3*j = -3 - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -116\/5. Find the common denominator of -13\/11 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2342 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-5852)\/42. Calculate the greatest common divisor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 7*a**2 - 8*a - 1. Let q be z(4). Let y = -4 - -4. Does 3 divide q - y*2\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 10010*m - 70178. Calculate d(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 375494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(-3 + 2*sqrt(68) + 5 + ((1 + sqrt(68))*-4 + sqrt(68))*-6))**2.\nAnswer: 18720*sqrt(17) + 250884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000214650601 rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 194 = -3*y, 2*y + i - 285 = -3*y. Let l(j) = -j**3 - 8*j**2 - 5*j - 17. What is the remainder when (y\/4)\/((-3)\/(-18)) is divided by l(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - 30) + 23 + -10 - 28?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*u + 726 = 0, -4*u + 10 - 2 = 0. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f**2 - 6*f + 4. Let y be i(5). Suppose 3*p + 5*g - y = 0, -5*g - 24 = -2*p - p. Solve -7 = -5*u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1285.933 and -164767.\nAnswer: -166052.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57256145 is divided by 19085318.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-2 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 - 272*l**3\/3 + 5381*l**2\/3 + 12128*l + 3840 = 0. What is l?\nAnswer: -5, -1\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2880\/125280)\/(1\/58)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3936053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q + 4. Let s be r(6). Suppose u - 2*w + 4 = 4*u, s = -2*u + 5*w. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 48. Let v be x(-10). Suppose 0 = -5*m - 2*a - 52, m = 3*a + v*a - 32. Let c be (1 - 2)\/(2*1\/m). Solve -s = -c*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-2)\/(-4)*10. Let s be 392\/98 + o\/(1 - 2). Solve s*b - 2*w = w + 21, 5*w = -20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose h = -5*o - 23 - 12. Does 7 divide (-108)\/o + (-3)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 103*w - 2580. Give h(45).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 2)\/((-6)\/16815*5)?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n + 7. Is q(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10775.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - ((-4 - -14 - 8) + -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 7.712.\nAnswer: 8.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (-234)\/18 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27092110 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 - 3*f + 3. Let z(i) = -i**3 + 8*i**2 - 9*i + 10. Let p be z(7). Let h(o) = -o**2 + o - 1. Determine p*h(t) - x(t).\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10845, -9934, -9023, -8112, -7201, -6290?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10326529 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m**2 - m - 1. Determine y(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398800471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 214532 = 214732 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 4*h + 32. Suppose -2*r = p - 91, 23 = p + 5*r - 74. What is the highest common divisor of h and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-82)\/6 - 2)\/(2\/24). Which is greater: s or -190?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-130)\/(-9) - 2*8\/36. What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 7}. Give prob of picking 1 u and 1 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*p - 7, -2*p = -2*l + 4*l - 14. Suppose 4*g = -4*k - 20, -k - 3*g - 1 - 8 = 0. Let n = l + k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Let j = -3 + 6. Suppose -n*m + 4*w + 59 = 0, 0*m + j*w = -3*m + 24. What is the remainder when 24 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1933648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74376808?\nAnswer: 2, 11, 37, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 - 1. Let f be 0\/1 - (2 - 1). Let s be f\/2 + 15\/(-6). Let x be (-1 - s)\/(-2) - -1. Give b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20936838 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 5*z - 18, 65*c + 12 = 69*c + z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 1. Let u(m) = -5*m**2 - 4. Let v(f) = f**2 + 10*f + 5. Let l be v(-5). Give l*x(a) + 5*u(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4*o - 10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 5*q - 6. Let z(s) = -13*s**2 + 15*s + 19. Calculate 7*n(t) + 2*z(t).\nAnswer: 2*t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -426*i - 1740. Let l be c(-4). Which is smaller: -941\/26 or l?\nAnswer: -941\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.64335 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.44966 months?\nAnswer: 0.0370805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38879279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13887*j**3 + 8*j**4 - 4420 - 6938*j**3 + 45*j**4 - 6938*j**3 with respect to j.\nAnswer: 212*j**3 + 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53 and 11.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -358, -803, -1426?\n\"Answer: -89*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74623912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 - 348. Let z = -147.99925 - b. What is z rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5203\/172 + -31)\/(-3 - 236\/(-80))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 2\/31 (c) 2\/15 (d) 0.2 (e) 0 (f) 91 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from wtppttwntyptwtyppn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -389? (a) -5 (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33313 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:00 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -3)\/(2\/9). Let x(v) = v - 4. Let z(w) = -3*w + 7. Let s(f) = t*x(f) + 4*z(f). Let j be s(-7). Solve 2*a - 6 = -2*r, 2*a + 5 = -r + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 232012?\nAnswer: -23201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000078138 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*f = -n - 99*f - 23, -3*n - 25 = 4*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.9304175 to one dp.\nAnswer: 83.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4148\/183 - 21\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*q**4 - 49*q**3 - 173*q**2 - 155*q - 42.\nAnswer: (q - 7)*(q + 1)**2*(11*q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609576.1l to millilitres.\nAnswer: 609576100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/9*-3 - 1. Suppose 0 + 16 = l*c. Suppose 3*o - 55 = -c*z, -3*z - 67 = -4*o - 2*z. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 33*l**3 + 53*l**2 - 14*l - 6. Let g(d) = 32*d**3 + 54*d**2 - 12*d - 4. Let o(j) = -3*g(j) + 2*t(j). Factor o(s).\nAnswer: -2*s*(s + 2)*(15*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1676880 and 2754?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 10*o + 12. Let g be w(-5). Let v be (156\/(-16) - -3)*g\/3. What is the greatest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445 + 977 = 8053*c - 7895*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92519134.\nAnswer: 2, 17, 331, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 260935714?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(-3*(sqrt(304) + -1*sqrt(304)) + 1*sqrt(304) + 0 + (-2*sqrt(304) + 1 - sqrt(304) - 2*(0 + sqrt(304)))))**2.\nAnswer: -32*sqrt(19) + 4867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2*l**3 + 139 + l**2 + 3*l**3 - 8*l**3.\nAnswer: -3*l**3 - l**2 + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-1 - 1 + 1) - 2 - 2 + 3 + 11 - 5 + 9)*(3*x + 228*x**5 + 969*x**5 - 3*x).\nAnswer: 15561*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + 310. Let i = v + 27. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -19. Let y = q + 5\/6. Suppose -h - 3*h + 12 = 0. Which is the closest to -1\/2? (a) 5 (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 + 2*y - 1. Let g be x(-3). Suppose 0*j - 3*j + 78 = 0. Let l = j + g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3542)\/(-539))\/(((-4)\/(-42))\/(2\/(-3)*1)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -31*o**8\/168 - o**6\/120 - o**5\/60 + o**3 + 34*o**2 + 2. Find the third derivative of h(t) wrt t.\nAnswer: -3720*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.96913473 rounded to 3 decimal places?\nAnswer: 50.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 42. Suppose 0 = 4*b - i - 48, -b + 12 = 2*i - 0. Calculate the smallest common multiple of q and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3586 + -57?\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 218 - 153 = 0. Let m(y) be the third derivative of -y**6\/120 + 7*y**5\/30 + 5*y**4\/24 + 13*y**3\/6 + y**2. What is the units digit of m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -3\/2, -2\/9, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -48*n**2. Let g(s) = 20*s**2. What is r(g(m))?\nAnswer: -19200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 6. Let y(w) = 2*w - 11*w + d*w. Let b(m) = -25*m. Give y(b(c)).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 - (-1 - 0) - (93 - 106))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94657551973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/150 and 107\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 915 - 61561516*b + 61561516*b.\nAnswer: 3*b**3 + 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 9*w**2 - 20*w + 17. Let c be h(6). What is the fourth smallest value in -1, -4, c, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(833) - (2*(1 + sqrt(833)) + sqrt(833))) + -5 + 1 + sqrt(833) + -1.\nAnswer: -98*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, -33, -1\/3, -0.087.\nAnswer: -33, -1\/3, -0.087, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 254754.7 nanograms?\nAnswer: 0.0000002547547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:33 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46345)\/552 + 73 + (12 - 1).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -99. Let k = -100 - a. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1 + 0*g + 2*g - 5. Let h be o(4). Suppose 41 = 5*k - h. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + 19. Let t be 4218\/209 + -4*(-3)\/(-66). What is the greatest common divisor of t and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aohh when four letters picked without replacement from {a: 4, h: 4, o: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89385616 by -14704.\nAnswer: -6079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(11\/2)\/((g**1\/g*g)\/g*g**0) assuming g is positive.\nAnswer: g**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.5 (c) -0.09 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5628009 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9*h)\/(h**3*h)*h**(4\/13)*h\/(h*h**(2\/7)))**(-2\/55) assuming h is positive.\nAnswer: h**(-1096\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171068426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111110 - 100?\nAnswer: 111011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*x**3*z**2 + 293*o**3*x**3*z - 4*o**2*x**3*z**2 - o*x**2*z**2 - 22*x**3*z wrt o.\nAnswer: 12*x**3*z**2 + 1758*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448 by -102.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-27))\/(-1) + (-1357824)\/(-702) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -15. Which is the third biggest value? (a) x (b) -3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77892.\nAnswer: 2, 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-21) - (-93)\/7. Suppose 2*o = q + 9. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 1\/10, 2\/15, 2\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -29*c**9\/168 + c**5\/60 + 181*c**4\/24 + 479*c**2. Find the third derivative of t(b) wrt b.\nAnswer: -10440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 85*o**2 + 27*o**2 + 40*o**2 + 38*o**2.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104478*w - 94157?\nAnswer: 104478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.02 (b) 0 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-533409)\/(-20918)*(-5)\/(-17)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.3. Let r be 50\/(-12) + (-4)\/(-24). Let b(i) = -2*i - 4. Let o be b(r). Put v, o, -1 in increasing order.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 102 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2527 + 9941. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + 2 + sqrt(153) - (sqrt(17) - (-4 + 3*sqrt(17)))**2) + ((0 + sqrt(17))*6 - (sqrt(1700) + 1)).\nAnswer: -83 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from lsssssddslrsssll?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 9 = q, -5 = -5*i. Solve -j = a - q, 6 = 3*j - a - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 19*l - 86. Determine p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 763.07333 - 0.07333. Which is greater: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j + 10. Let r be g(17). Let z = 129 + r. Do z and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z + 83*z + 46*z - 1418765 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7162783*r - 9343468.\nAnswer: -7162783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + (-112)\/21)*-198. What is the third derivative of 17*y**2 + 188 - p + 192*y**3 - 62 - 67 wrt y?\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267585, 1070346, 2408281, 4281390, 6689673, 9633130?\nAnswer: 13111761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q + 11. What are the prime factors of x(19)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2) + 0 - -3. Let y(x) = -x**2 - 4*x - 1. Let s be y(-4). Let v be s\/(-2) + (-1)\/(-2). Solve 2*k - 13 = 3*j, 1 = 2*j + f*k - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 23175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 821*q - 1 + 2 - 840*q to the form j*q + h + b*q**2 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11130255 (base 7) to base 10.\nAnswer: 965340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 12. Suppose -4*d = -5*d - 10. Let v be u(d). Suppose 32 = 4*n + v*o - 0*o, 2*n + 5*o - 24 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16*(((z**13*z)\/z)\/z)\/z)\/(z**(-6\/5)*z**8) assuming z is positive.\nAnswer: z**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3534 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-6) - 6\/9. Let b be (0 + 3)\/((9\/(-2))\/(-3)). Let x(i) = -11*i**b + m*i**2 + 17*i**2. Let r(j) = -j**2. Determine x(r(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1322.80693 - -1325.80692995. Let l = 3.09 - 0.09. Let s = l - t. Round s to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 1\/7*i**6 - 13\/42*i**4 + 0 + 4\/7*i**2 - 8\/21*i**3 - 15*i + 1\/5*i**5. Let c(t) = 0. What is t?\nAnswer: -1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30698230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 + 5*v + 5. Let d(n) = -2*n**2 + 3*n + 3. What is 5*d(i) - 3*g(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 423, 501, 579, 657, 735?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9099161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*t = 66*t + 17654000. What is t rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2551225 - 102431?\nAnswer: -3054100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9784.919km in millimeters?\nAnswer: 9784919000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*v - 14, -5*t = -2*t - 3*v + 102. Let f = t - -30. Is 1\/74 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -2\/9, -1\/3 in descending order.\nAnswer: -2\/9, -1\/3, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + w - 1. Let j(r) = r**2 - r - 1. Let p(g) = 5*j(g) - z(g). Suppose -20 = 7*f - 2*f. Let l be p(f). Solve 0 = -6*o + 2*o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1457, -3, -0.05, 0.19, -1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {t: 10, a: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 21.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-4 - -8) + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -5*j**4\/2 + 11*j**3\/3 + 7. Find the third derivative of s(k) wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37618 and 20.\nAnswer: 376180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (-1 - -3) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 75484*z**2 + 301888*z + 301872.\nAnswer: 4*(z + 2)**2*(z + 18867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689*j*l*p**3 + j*l - 3*j*p**3 + 2*j + 52*l*p**3 + l*p**2 - 21502*l*p + p**2 + 1 wrt p?\nAnswer: -4134*j*l - 18*j + 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - 407099035 - 5*q**2 + 407099112.\nAnswer: -14*q**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + -0.4. Let c = z + -0.1. Let d = -1.583 - c. Round d to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056361893 less than -260481?\nAnswer: -2056622374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32611 is divided by 10862.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99213407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 17 = -2*p, 158304*n - 158307*n = -16*p + 101 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 246?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 + 0.09204.\nAnswer: 0.43204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3\/2 (c) -6\/19 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*z = -64, 5*z + 40 = 5*d - 10. Let s = 20 - d. Suppose 0 = -6*f + 3*f - 4*m + 10, 30 = f - 4*m. Calculate the lowest common multiple of s and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 6*n + 19*n**2 + 4*n to the form v + f*n**2 + r*n and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, d: 1, q: 1, v: 1, o: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:01 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c**2 - 42*c**2 - 39*c**2)*(0*c - 3*c + c)*(-57 + 177 - 83).\nAnswer: 4292*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 136*l - 66*l - 51*l + 3. Let n(v) = 96*v + 16. Let i(c) = -3*n(c) + 16*q(c). Let t(m) be the third derivative of -m**5\/15 + 10*m**2. What is t(i(h))?\nAnswer: -1024*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w*(w**(-1\/10)\/w)\/w*w*w*w))*w**(1\/16)*w)\/(w**(1\/23)\/w)**(-11\/2))**(-6\/29) assuming w is positive.\nAnswer: w**(7167\/26680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9159927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 4*k + 12. Does 16 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.018 + -0.018. Sort -9, 3\/4, u.\nAnswer: -9, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 1000. Suppose -20*q - b = -25*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953.6751 centuries to decades.\nAnswer: 9536.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 - 4*i**2 + 2*i - 1. Let y be q(-8). Solve -y*b = -2 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4030023299 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r - 15*j = 74*r - 40, -2*j = 10*r - 5*j + 85 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 62*h - 152. Let g be j(-9). Solve -3*a = 3*d + 15, -3*a - 2*d - g = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 - (3 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64806 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 682*k - 89737. Calculate u(132).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in -0.1, 0.00755, -0.13?\nAnswer: 0.00755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18254 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219)\/5 + 37\/((-14245)\/(-308))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:59 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2736930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.08 and -0.1.\nAnswer: -8.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r + 28\/15 + 2\/15*r**2 = 0. What is r?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*f**3 + 161*f**3 - 17*f**2 + 2*f - 57*f**3 + 2*f**3 - 2*f**3 - f**3 - 2*f**3 + 6*f**3 - 3*f**3 + (3*f - 2*f + 0*f)*(0*f**2 - 5*f**2 + 3*f**2).\nAnswer: -26*f**3 - 17*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/3 + 4*s**3 - 14*s**2\/3 - 4*s + 13\/3 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 15, -3*a + m + 2 + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 41.12. Which is the nearest to -0.2? (a) 2\/11 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -x + 23. Is 2\/((-24)\/x)*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 150 = -j, -171*j - 2*c + 18 = -174*j. Let m(b) = -3*b**2 - 3*b**2 + 7*b + 4*b**3 - 3*b**3. What is m(j)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + -90. Let l = -207 - x. Is l*2\/4*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/35)*(((z\/(z\/z**(-2\/3)*z))\/z)\/z*z)\/z*(z\/z**(-16)*z*z)\/(z*z**17*z) assuming z is positive.\nAnswer: z**(-391\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50))\/(2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1053311 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**5 + 12*l**4 - 16*l**3 + 5*l. Let p(o) = -5*o**5 - 11*o**4 + 15*o**3 - o**2 - 4*o. Let v(c) = -6*d(c) - 7*p(c). Determine k so that v(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, o: 1, s: 1, d: 1}. What is prob of picking 1 s and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 3*j + 0 - 1 + 3 - 2*j**4 + 2*j**2. Let l(i) = i**2 + i - 1. Let g(n) = -f(n) + 3*l(n). Find the first derivative of g(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 969285.9 nanograms in kilograms?\nAnswer: 0.0000009692859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l + 8. Let n = 3 - -3. Let s = l + n. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 3*l**2 - 2*l**2 - 1 + 7*l**3 - 6*l**3. Let s(h) = 10*h**3 + 9*h**2 - 11*h - 9. Suppose 543 + 767 = 83*c - 184. Determine c*y(m) - 2*s(m).\nAnswer: -2*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2402, -11051, -32194, -72077, -136946, -233047?\n\"Answer: -1041*u**3 - u**2 - 1359*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2822552 + 5131776. Let r = -13354328 - x. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 69, 12.\nAnswer: 2, 4, 12, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)*r)\/(r\/(r\/r**(-2\/31)))*(r\/r**(-8))\/r**(-10) assuming r is positive.\nAnswer: r**(281\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*b + 12 = -z, b + 3 = 0. Which is bigger: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - 2*i**4 - 2*i**4)*((-2 + 3 - 2)*(6 - 6 - 4*i) - 9 + 9 + 7*i).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-2) - 4\/8. Solve -x*u - 8 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*j**4 - 111*j**2 - 6*j - 15394 wrt j?\nAnswer: -28*j**3 - 222*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:21 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t + 109. Give k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2899*j + 17051. Calculate i(-6).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 159*y + 161*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/200 and -101\/85460.\nAnswer: 854600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 208\/6 - (-2)\/(-3). Let b be (-4)\/(-6) - (-15 - -14). What is the second biggest value in 2\/5, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/s**(-24))\/((s\/(s\/(s\/(s\/(s*s**22*s)))))\/(s\/(s*s*s**(1\/5)*s*s)*s)) assuming s is positive.\nAnswer: s**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53043012 - 110?\nAnswer: -53043122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2140932 divided by -71\nAnswer: 2140932\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -277484049 rounded to the nearest one hundred thousand?\nAnswer: -277500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 6006?\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 3. Let m(x) = -4*x + 7. Suppose 4*t + w + 31 = 0, -3*t - 10 = 2*w + 17. Give t*p(r) - 3*m(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14982 by 4994.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8953.492 plus -0.4?\nAnswer: 8953.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 0.24126125877.\nAnswer: -9.24126125877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s + 2038 + 3505 + 943 - 1158 = 0 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 7. Let i(v) = -37610*v**2 + 2 + 37617*v**2 - 2. Give i(s(f)).\nAnswer: 7*f**2 + 98*f + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3503*a + 3506*a + 22, 0 = 2*p - 5*a - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/60 + 703*f**4\/12 + 494209*f**3\/6 + 347428927*f**2\/6 + 121*f + 3. Factor l(u).\nAnswer: (u + 703)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126.21 + -4.79. Let y = f - -134. Let j = 1\/37 - -33\/148. Which is the fourth smallest value? (a) y (b) -3\/4 (c) -0.2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*-2*(15\/6 + -3). Suppose -2*h - 3*k - 8 = -0*k, 0 = h - k - 6. Suppose g*o = h*o - m + 122, -3*o = 5*m - 142. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 114\/53 (b) -0.13 (c) -0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 0.2.\nAnswer: -18, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -555*a + 3335. Let g be l(6). Suppose -5*x = -x - 44. Suppose -3*f + x = 4*z, 2*f - z - 8 = -3*z. Solve -f*r = 3*p - 6, -3*p - 1 = r + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42\/29 (b) -2\/13 (c) 3 (d) 2 (e) 5 (f) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9*q = 5*q + 468, -312 = -2*p - 4*q. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29008646376 - -5.\nAnswer: 4.70991353624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*f*l**3 - 542*f + l**3 - 2*l**2 + 2 wrt l?\nAnswer: 45*f*l**2 + 3*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:26 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b - 355. What is j(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 = 3*r, 0 = u + u + 3*r - 28. Let l = u + -9. Suppose 5*c + 5*d = 10, 0 = l*c + 2*d - d. Is c != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 12*v**2 - 26*v + 14. Let c be u(-9). Solve -3*z + 10 = 3*n - 14, 5*z - c = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/(2\/10)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7625832*p**2 + 85994466*p wrt p?\nAnswer: -15251664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 529599 and 529552 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*h - 15 = -12, h = -1. Which is the nearest to 14? (a) 2 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115136 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 13*u**2 + 7*u - 19. Let n be 652\/(-54) + 140\/1890. Calculate w(n).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 805 = -5*r, 3*r - 2*i + 168 = -308. Let g be -3*(-9)\/(r\/12). Sort -65\/6, 1\/3, g.\nAnswer: -65\/6, g, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x + 15. Let o be x - ((-64)\/10 - -3). What is the third smallest value in o, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 + -1)) + 4 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 1\/9 (c) 0.3 (d) 1359.13 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 - 2*c + 40. Let g be z(0). What is the second derivative of -8 + g*y**3 + 7*y + 8 + 0 wrt y?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-13) + (-8)\/4. Suppose -3*a = 5*j - 17, t*j + 12 = 5*a - 6. Solve 9 = 5*i - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009313027 rounded to 7 decimal places?\nAnswer: 0.0009313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.452541209 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*n + 120*n + a - 17, 5*a = -n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 35. Let c be j(19). Let q = -19 - c. Find the third derivative of 13*a**2 - 13*a**3 - a**q - 18*a**5 + 14*a**3 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 37*y - 4. Let l be z(1). Let a(h) = -9 - 18*h + l*h - 9. What is the lowest common multiple of a(3) and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398*m**3*q**2 - 15651*m**3*q - 2*m**3 - 4692*m**2 - 70*m - 2*q**2 + 3*q wrt m?\nAnswer: 2388*q**2 - 93906*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/352 and 37\/256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3870 + 15165 = 44*l - 29*l. What is the third smallest value in l, 0, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 0. Suppose -3*l = r, -y - 2 = 3*l - 7. What are the prime factors of 5*((-36)\/y)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19965730 = -153*p + 46337274 + 60217123. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -980 + 1753. Let p = d + -768.61. What is p rounded to 1 decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a factor of 31247580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25515, -41895, -58277, -74661, -91047, -107435?\n\"Answer: -p**2 - 16377*p - 9137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-32560)*-22*(-7)\/(84\/8)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 5 (c) 1\/8 (d) 2\/5 (e) 2 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m - 3 + 7 - 3*m + m**2. Let x = 90 + -44. Let p be (-7)\/28 + x\/(-8). Determine a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, 7679, 1\/40 in descending order.\nAnswer: 7679, 3\/2, 1\/40, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227596 and 170?\nAnswer: 1137980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1188 and -20\/2079.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/11)\/(-1 + 0). Let l = 101 + -104. Let w = 2 + 0. Sort l, r, w in increasing order.\nAnswer: l, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 72 = -2*v. Does 17 divide (v\/(-14))\/(3\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -553000 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4 - 5*n**2 + 7*n**2 - 1. Let h(j) be the first derivative of -j**3 + 4*j - 66. Give 5*h(p) + 4*u(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:52 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208679 divided by -635.\nAnswer: -208679\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 + -6 - (2 + 1 + 4). Let q(u) = u**3 - u**2 - 6*u + 6. Determine q(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122000 (base 3) in base 13?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1352 - 1354. Which is the biggest value? (a) -0.6 (b) z (c) -3\/4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(95)*2*1)\/(sqrt(15)\/sqrt(12)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1224) - sqrt(1224)*2)*-3)\/((sqrt(8)\/(sqrt(12)\/sqrt(3)) + sqrt(2))*-4).\nAnswer: 27*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vztulzzvuzvzzzvz. What is prob of sequence lzz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1370 and 1.4.\nAnswer: 1371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 + 9980*k**4 - 24658749*k**3 - 1207762142*k**2 + 2587935988*k + 3771029400 = 0.\nAnswer: -50, -1, 3, 5014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16650 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-16)\/6 - 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1106, -15, 5, 15, -2, 2, 3 in increasing order.\nAnswer: -15, -2, 2, 3, 5, 15, 1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -830, -1223, -1612, -1997, -2378?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**7\/r)))**(-42) assuming r is positive.\nAnswer: r**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2348 (b) 6 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703711?\nAnswer: 3, 43, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -38*o**2 - 190*o - 11. What is m(-6)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (5 - 2)) + 1. Suppose 5*r + z = 129, i*z - 32 + 164 = 5*r. Suppose r = 2*c + 16. Solve -2*o + c*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/72)*t)\/(t\/(t**16*t*t)*t*t) assuming t is positive.\nAnswer: t**(1151\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616106 divided by -616106.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -54. Let h be 2\/((-8)\/o*3). Suppose z - 5*j - 12 = 0, 2*z = -j - h*j - 4. Let l(q) = q**3 - 2*q**2 - 1. Determine l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 2*o + 2*o)*(3 + 3 - 5) - o + 5*o - 2*o)*(3*o**2 - 2*o**2 + o**2).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -92*g**4\/17 - 1182*g**3\/17 - 3406*g**2\/17 - 114*g + 378\/17 = 0.\nAnswer: -9, -3, -1, 7\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 63040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 6*b - 6. Suppose 16*u - 1012 = -30*u. What is the lowest common multiple of u and n(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24973286 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (124*p**2 + 51*p - 97*p + 45*p)*(11*p + p + 6*p) to the form o + z*p**2 + h*p + c*p**3 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 0 + 4 - 2 + 3*o**3.\nAnswer: 6*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1351317 + 17?\nAnswer: 1351336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416*a + 248*a + 3304174 = -95234714. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*w**3 + 535*w**3 - 44*w**3.\nAnswer: 275*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -161 - -152 - (-5 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*i + 3*y, 2*i - i - 3*y + 14 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1)*(-y - y + 0*y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(3)*-3)\/((-2*sqrt(27))\/sqrt(9)))\/(((sqrt(80) - sqrt(80)*-2*2) + sqrt(80))*-2).\nAnswer: -sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 242354 (base 6) to base 11\nAnswer: 15013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*m*q**2 - 330*m*q + 5*m + 150 wrt q?\nAnswer: -54*m*q - 330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = -a + g, 11 = a + 4*g. Let u = 515 - 513. Suppose -u*i = 2*t - 823059 + 299057, 4*i = -a*t + 786004. What is t rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 205*y - 3055. What is w(-21)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15 + 14\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:33 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5 - 1 - 5)*(-14*m**2 + 20*m**2 + 25*m**2)*((-1 + m**2 + 1)*(1 + 1 + 0) + m**2 - 4*m**2 + 2*m**2).\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3393, 3379, 3359, 3333, 3301?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 3\/6*-4. Suppose -4*b - u*w = -96, -4*b = -0*w + w - 98. Suppose -5*l + b = m - 2*m, 2*m = 0. What is the greatest common factor of 20 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5308 (base 12) to base 13.\nAnswer: -4196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/45 (b) 68 (c) -5 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/12 + 47*n**2 + n. Let i(o) = 2*o. Determine i(y(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333010323 (base 4) to base 13.\nAnswer: -21530c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 != -2094\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 4. Let x be q(8). Solve 0 = 4*t - 2*a - x, 2*t + 4*a + 15 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*z - 120*z + 23*z**2 - 70*z + 267*z.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36733855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-1)\/1)*26. What is the tens digit of (-54379)\/t - 3\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 10. Let j be u(-10). Let r = j + 5. What is the third derivative of 3*b**5 - b**5 + 3*b**2 - 5*b**3 + r*b**3 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, -0.5, 5, -0.3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*x + 319*x + 1776 + 19872 = 506*x for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 309, -15.5, -29, 0.5 in increasing order.\nAnswer: -29, -15.5, 0.5, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -182.6. Let p = y - 95. Put 0, 1, p in increasing order.\nAnswer: 0, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x + 219*x - 10 = -4*z, z - 30 = -13*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 10*q - 26. Suppose 470 = q*h + 3*h. What is the remainder when h is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 40\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - (-26964)\/48)*(-2 - -10).\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let f(z) = 2*z - 1. Let l be f(3). Solve -v - j - 3 = i, 6*j = j + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 - 3*f + 13. Let h be b(3). Let o be 1640\/375 - h - (-2)\/(-6). Are -1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4904\/3 - -1635. Factor 1\/3*r + r**2 + r**3 + 0 + o*r**4.\nAnswer: r*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/34 - (1204\/119 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c**3 - 13*c**2 - 22*c + 5. What are the prime factors of z(5)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 1297 = -971. Calculate the common denominator of 4 - 12 - 1623\/p and -41\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*m - 17, -4*b = 3*m - 25 - 4. Let y be -4 + (1 - (-3 - 0)). Let z(k) = y + 2 - 6 + 2 + 2*k. Calculate z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5*a + 9. Let m be f(-2). Suppose m = -p + 5. Suppose 5*q - p*k = q, 4*k = 16. Solve 2*b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 - 6*z + 2. Let a = 592 - 579. Suppose -5*n + 13 = -2, 2*p - n - a = 0. What is y(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*a + 140 = 351*a - 180*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55034, 110242, 165454, 220670, 275890, 331114?\n\"Answer: 2*g**2 + 55202*g - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqtbbtqbbqbbnqt. What is prob of picking 2 n and 1 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let u(t) = -1912422588*t**2. Calculate u(p(c)).\nAnswer: -1912422588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 75?\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 1868712*b + 436510567368.\nAnswer: 2*(b + 467178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*t + d + 15, 5*d = 15. Let o(u) = u + 41*u**2 - 42*u**2 + 2*u**t + 6*u**3. What is o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 278938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 567*m**2*o**3 - 39*m**2*o**2 - 962*m**2*o - 3*m**2 - m*o - 17649*o**3 - 3*o**2 wrt o?\nAnswer: 3402*m**2 - 105894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26015*t**3 + 11 + 26018*t**3 - 15*t**4 - 33 in the form y*t**3 + p*t**2 + w + n*t**4 + f*t and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2713349 - -12407.506\nAnswer: -2700941.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12666, -12670, -12676, -12684, -12694?\n\"Answer: -o**2 - o - 12664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*r**2 - 21*r**2 + 10*r + 11*r)*(2 - 2 + r**2) to the form n*r**4 + m*r + b*r**3 + x + w*r**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) + (-3576)\/(-18) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**6\/45 + 2*u**5\/5 + 11*u**4\/18 - 123*u. What is z in o(z) = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 34*i - 160 = 0. Sort -15, i, -5, 3 in descending order.\nAnswer: i, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/644*(679\/485)\/(2\/10).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 15*p. Let u(c) = 9*c. Let f(t) be the third derivative of 5*t**4\/12 - 22*t**2. Let k(q) = -4*f(q) + 5*u(q). Determine k(g(a)).\nAnswer: -5*a**2 + 75*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -232*p + 7. Is a(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 145 = 4*k - 87, 81 = 2*k + 5*j. Let h = 30 + k. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260\/89127 or -0.1?\nAnswer: 260\/89127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 6*m**3 + 2*m**3 + 5*m**2 - 3*m in the form u*m + o*m**3 + q*m**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b*b\/(b\/(b\/b**(-18))))\/(b**(1\/2)\/b**(1\/19)) assuming b is positive.\nAnswer: b**(8249\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94699 + -52554. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u + 5*z - 11, -2*u - z + 13 = 0. Which is greater: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9693 + -6825. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -46) + 8 - 56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 10\/113, -0.4, 0?\nAnswer: 10\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10939 = 3*g - 10945, -3*z + 3*g - 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**7*g)\/g)))\/g*g**(-4\/11))\/(g**(-18)*g\/(g**(-8\/11)*g)) assuming g is positive.\nAnswer: g**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2))\/l)**(3\/2)*(l**(-2\/29))**(-16) assuming l is positive.\nAnswer: l**(215\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2 + 128*t - 246 - 38*t + 163 - 470 - 68 wrt t.\nAnswer: -2*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejyeijejbiyje. What is prob of picking 1 e, 1 j, and 1 y?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 18\/(-2 - 1). Suppose -6*x = -8*x + y. Solve 4*s = x*r + 8, 15 = s - 4*r - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*f - 3*f - 56, 5*f = 3*s - 77. Suppose 3*y - s = 2*y. Let a be (-11)\/44 + y\/4. Calculate the greatest common factor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 10 + 22 + 6 + q**2 - 9*q. Let d be p(11). Suppose 5 = -2*x + d*u + 20, 0 = -x + 2*u + 6. Put -4, x, 6, -5 in decreasing order.\nAnswer: 6, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 33. Let n = p - -13. Suppose 0 = -2*s + 2 + n. What is the smallest common multiple of 32 and s?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -8, -11, 0 in descending order.\nAnswer: 1, 0, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*294\/(-2016)*(-2)\/7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 26. Let v(w) = -2*w**2. What is o(v(k))?\nAnswer: 4*k**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/10))**(-20\/9)*((b*b*b**(2\/47))\/b)\/((b\/(b**4*b))\/b) assuming b is positive.\nAnswer: b**(1522\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b63 (base 13) in base 5?\nAnswer: 233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424948049 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 times -97\nAnswer: 3.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7239 - 0.5123982\nAnswer: 7238.4876018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c**3 - c**2 - c. Let h be t(-2). Calculate the highest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 4. Let k be z(7). Find the third derivative of o**3 - 6*o**2 - k*o**3 - 80*o + 80*o wrt o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 - 14\/(-8). Find the third derivative of w**a + 4*w**5 + 0*w**2 - 5*w**5 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -788.308 less than -4047601?\nAnswer: -4046812.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -56603, -9 in decreasing order.\nAnswer: 1, -4, -9, -56603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaoxbk. Give prob of picking 1 x, 1 b, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/(5 - 0)). Let g = 7 + -8. Let j = -0.8 - g. Which is the second biggest value? (a) q (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-98)*-2 + (-9)\/((-2268)\/(-150)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193793\/1167 or -166?\nAnswer: -193793\/1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let t(j) = 7*j**3 + 4*j**2 - 3*j - 2. Let y be t(1). Solve -y = -0*l - q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*b - 32, -7*b - 6 = -f - 6*b. Let i(x) = -f*x + 8 - 6*x - 6 + 21*x - 8*x. Let l(r) = -r + 3. What is 4*i(n) - 3*l(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4312.\nAnswer: -1\/2156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 11. Let c(h) be the first derivative of 0*h - 1 + 0*h**2 + 2\/9*h**3 + 1\/3*h**4 - 2\/5*h**s. Find i, given that c(i) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -0.1 (c) -8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5 + 8165*q**4 - 12453775*q**3 + 5336946595*q**2 - 10636564520*q + 5312063536 = 0.\nAnswer: 1, 916, 6331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 195 - 179 - (17 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957022627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3766.08 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 223 + -209 + (1 - (-3 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17841761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315215?\nAnswer: 5, 23, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -49, -1, 2, 1 in descending order.\nAnswer: 2, 1, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/10 + c**4\/3 + c**3\/3 - 3*c + 2. Let d(m) be the first derivative of w(m). Let d(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than 4899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, -2, -12 in descending order.\nAnswer: 24, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -15?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 11*m**2 + m**2 + 2*m**3 - m**3 - 8*m**2.\nAnswer: m**3 - 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 61. Suppose 3 - h = k. Factor -61*n**2 - 6*n + 31*n**2 + 9*n**3 + k*n + 8 + 27*n**4.\nAnswer: (n + 1)*(3*n - 2)**2*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15015 and 477477?\nAnswer: 2387385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111011010001001 + 110?\nAnswer: 101111011010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 311 + 157 + 49765*i - 24883*i - 24885*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19629\/1654 greater than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31696838 to the nearest integer?\nAnswer: 5630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - 3*((sqrt(76) - ((sqrt(76) - sqrt(76)*2) + sqrt(76))) + sqrt(76)) - sqrt(76)*2*-5)\/((sqrt(512)\/sqrt(4))\/(sqrt(2) + sqrt(32)*-6)).\nAnswer: -115*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 + 25678*v**2 - v**3 + 0*v**4 - 2 - 25672*v**2 as q*v**3 + j*v**4 + g*v**2 + w*v + s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 54 = 14*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3 + 675*t - 41*t**2 + 8*t**2 + 74 - 12*t**2. Determine q so that x(q) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**7\/5040 - f**5\/15 + 8*f**2. Let d(y) be the third derivative of h(y). Let x(b) = 4*b**2. Calculate x(d(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 4.4. Let f be 495\/175 - (-4)\/(-10) - 3. Let m = -0.9 + 1.4. Sort m, f, x, -0.4.\nAnswer: f, -0.4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 3*y**2 - 5*y - 2. Let w be b(-4). Find the third derivative of 3*h**3 - 4*h**3 + 4*h**3 + h**w wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -a, -2*p - 3*a + 2386 = 2382 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 978892.5 years?\nAnswer: 11746710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1307 + 1499 - 797)*(y**2 + y**2 + 0*y**2) + 4*y**2 - 4*y**2 - 2*y**2.\nAnswer: 4016*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p + 147 - 147 - 179*p.\nAnswer: -223*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcno when four letters picked without replacement from molnklcllklmclllcoll.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -1\/3*l**3 + 2*l**2 + 1\/24*l**4 + 0*l + 0. Give p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Suppose -4*r + 70 = 5*o, -l*r + 99 - 34 = -5*o. Suppose -3\/2 - 9\/2*a**4 - r*a**3 - 9*a - 18*a**2 = 0. What is a?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d - d - 4*d to the form s + x*d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*n - 8 = 0, -2*n - 23 = -29*m + 25*m + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 = -5*y, 4*y - 9 = 12*f - 9*f. Let w = 3 + -1. Which is the closest to 1? (a) w (b) y (c) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 706654 or 706671?\nAnswer: 706671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.503*-0.35.\nAnswer: -4.72605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + (-4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 - -14.78?\nAnswer: -124.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9*30)\/(6\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:47 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -0. Suppose 0 = -3*b - i, -2*b + i - 3*i = 0. Suppose b = q - 2*c - 4, -y*q + c + 23 = -2*q. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 366000 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 3*l**2 + 11*l**2 + 6*l**2 as h + n*l + k*l**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6596*q - 3799287. Calculate a(-576).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 10) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -845*q - 97. Let l be k(-2). Calculate the highest common factor of l and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -340 and 174?\nAnswer: -59160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69140 is divided by 461?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*d**3*s**2*y - 2*d**3*y - 27*d**3 + 6169*d**2*s - 731*s**2*y - s*y wrt s?\nAnswer: -258*d**3*y - 1462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/6)\/((-18)\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1176 and -1163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - (1 - 3)) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95753 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfiyiybbglyyyiylby. What is prob of sequence big?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 2977164.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - 7*f**3)*(5*f**2 - 4*f**2 - 4*f**2).\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/965187 or 0?\nAnswer: 2\/965187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 4b24466?\nAnswer: -4b24478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*u - 7*u. Suppose -u*x = -506 - 9. Suppose 0 = -5*b + 5*t - 0*t + 75, -42 = -4*b - 5*t. What is the remainder when x is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 4*f = 14650 - 3694. Which is smaller: -914 or f?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-130) - (-21966)\/(-26). Let s = 128 - z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a22890 (base 11) to base 9.\nAnswer: -6374545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o + 379 = 1315 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 5, -62337, -9 in decreasing order.\nAnswer: 5, -9, -35, -62337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 20 + 14 - 2*n to the form q*n + t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*i + 1 - 1555*i + 4503*i**3 - 2292*i wrt i?\nAnswer: 27018*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-27 + 66 - 38)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136541713 divided by 1.\nAnswer: 1136541713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.8113 micrograms to kilograms.\nAnswer: 0.0000000938113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/2520 + f**4\/12 + 2*f. Let k(i) be the third derivative of j(i). Let n(w) = 4*w**2. Determine n(k(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 1185?\nAnswer: 15405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 - 182*w + 109. What is i(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -176*i + 39972. Determine l(227).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*r + 3*o, 5*o - 4*o = 3*r - 11. Suppose -r*h = -3*q + 7*q, 4*q - h = 25. Solve -3 = k, 0*w + 6 = -q*w + 3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 12) to base 3.\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7682 + 7476 = -583*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 2*u**5 + 4*u + (-4*u**3 - u**3 + 4*u**3)*(3*u**2 + 3*u**2 - 4*u**2) + 5*u - 2512*u**5 - 3*u + 1889*u**5 + u**5 + 2*u**5 - u**5.\nAnswer: -625*u**5 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141695928 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105957456 to 7 dps.\nAnswer: -0.0010596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.73769751 from -0.189.\nAnswer: 1.54869751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 3, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43240024 (base 5) in base 8?\nAnswer: -1317013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.318, 7, -4 in decreasing order.\nAnswer: 7, 0.318, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3724 = 4*p - 2*j, 103*p - 104*p + 924 = -4*j. Let q = -930 + p. Factor 4\/3 + 2\/3*v**q + 2*v.\nAnswer: 2*(v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796011 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 476431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 17, 11, 3, -7, -19, -33?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15036*n - 233. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:22 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10129087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28541\/16653 - 1\/2379. What is the third smallest value in 25, -0.4, h, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - q + 4 = 0, 0*c - 2*q = 2*c - 4. Let u(o) = -o**3 + 2*o**2 + 3*o - 3. What is u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 21*x + 14. Determine g(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l\/(l*l**(-8\/5)))\/l))*l*l)\/l**(-1\/2) assuming l is positive.\nAnswer: l**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697 - 691. Let m(j) = -13*j**3 + 6*j**2 + 6*j. Let x(r) = -196*r**3 + 91*r**2 + 91*r. Determine w*x(s) - 91*m(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = 2*g + 4*r, 3*r - 19 = -2*g. Suppose g*t - 3*y - 780 = 0, -5*t + 2*y = -382 - 403. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**5*z - 92*r**3*z - r**2*z - 3*r**2 - 3*r wrt r.\nAnswer: -180*r**2*z - 552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77291*s + 77294*s + 99 = -2*x, -9*s - 72 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 + 5*b**2 - 3*b**2)*(16*b**3 + 8 - 8) - 127 + 89 + 36 + 2*b**5 - 5*b**4 + 5*b.\nAnswer: 162*b**5 - 5*b**4 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (16716\/199)\/(3\/58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -16*k**4\/3 + 6196*k**3 - 5396326*k**2\/3 - 450856*k + 675122\/3 = 0.\nAnswer: -1\/2, 1\/4, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61341 by -7.\nAnswer: -8763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-284)\/(-14))\/((-9538)\/33383).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25) + -1 + 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*k = -49, 5*k + 1 = -s - 12. Calculate the lowest common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 664 (c) 0.9 (d) -2 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7889)\/115)\/(-49)*5*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*y = -5*d + 153*y + 4, 5*y + 10 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 - 2529 - s + 2531 - 8*s - 2*s**3 + 2*s**2 in the form u*s**3 + g*s**4 + j + t*s + l*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 5*y + 4 = 0, p + y - 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 384 or -11791?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -72344, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 12:25 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.109344 milligrams in grams?\nAnswer: 0.009109344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5178*g - 445316. Calculate a(86).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 3*b + 4. Let z be i(-4). Suppose 3*w = 6*w - 21. Suppose -w*n + z = -2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 54, -12, 8, 13, -3 in decreasing order.\nAnswer: 54, 13, 8, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 13*r - 18. Suppose r*g - 538 = 2*b, -2*g - 4*b = -g - 269. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**3)**(-3)\/((p**(-1\/2))**32\/((p*(p**4\/p)\/p)\/(p*p**(3\/2)))) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296112031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8197 = -269*c - 2926 + 8028 + 4724 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6120*c**4 + 6*c**3 - 2*c**2 + 6402*c + 7?\nAnswer: 146880*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2194 is divided by 241.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 698777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - 24567\/(-12). Suppose 3*x - i = -5*a + a, x + 2*a - 681 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 40 = 25, -40 + 103 = -n + 5*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572372 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/6*(167805\/(-170856))\/(2*5\/24)\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-146*b**3 + 62*b**3 + 2*b**3) - 2*b**3 - b**3 + 5*b**3.\nAnswer: 166*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let k(b) = -b**2 + 3*b - 3. Let y be k(2). Let v(i) = -3*i**3 - i. Determine y*o(n) - v(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*g + 277 = 0, -4*g = -4*a + 155 + 121. Is (1 + -2)\/((-2)\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 9 = -3*y. Solve 3 = -5*j + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 14 + 12. Let l be (-5)\/(-4) - m\/4. Let v(f) = f**2 + 5*f - 1. Let n be v(-4). Put n, -3, l in decreasing order.\nAnswer: l, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/3 - 262*g**4\/3 - 2856*g**3 - 33120*g**2 - 130176*g.\nAnswer: -g*(g + 12)**3*(g + 226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13630, 13649, 13678, 13717, 13766?\n\"Answer: 5*j**2 + 4*j + 13621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12250, 24537, 36824?\nAnswer: 49111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*j + 140*j + 2*j**4 + j**2 - 60*j + 44*j**3 to the form x*j + h + b*j**2 + u*j**4 + l*j**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11583 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose 5*a - x - 26 = k, -a - x - 2*x + 2 = 0. Solve -a*i - s = -1, -7*i + 2*s + 13 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-372)\/5642)\/(8\/(-26))*462\/30?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1)\/((-1)\/1). Let f(m) = 97*m**3 + m**2 - 2*m + 1. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-20)*(-5)\/2. Suppose 0*a + n*a + 54988 = 5*r, -a = 2*r - 22003. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 567*c**2 - 4006*c + 6888.\nAnswer: (c - 4)*(c - 3)*(c + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 53*u + 2*u**2 - 5*u**2 - u**3 - 18*u - 13. What is the units digit of j(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464386811 by -66340973.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 174. Let l(g) = 91*g - 11. Is 37 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45591, -45599, -45621, -45663, -45731, -45831, -45969?\nAnswer: -46151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let o(w) = -w - 1. Let f(r) = r + 1. Let u(j) = -2*f(j) - o(j). Let t(c) = -4*c - 2. Let z(h) = -t(h) + 2*u(h). What is z(l(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -144715*n - 2309. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 99?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 862*t**2 - 2*t - 31. Let i(l) = 1725*l**2 - 3*l - 51. What is -3*i(x) + 5*k(x)?\nAnswer: -865*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47\/10 in 11, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6020051 and -7.\nAnswer: -6020058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 22*p + 156. Determine n(26).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/9 - 28*o**2\/9 - 40*o\/3 - 16 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 63*w**2 + 4426*w - 132628. Determine i(29).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 12*h - 1 = -o, 0 = 5*h + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t - 5. Let x = t - 4. What is the second derivative of -4*i - 2 + 5*i**5 + x + 0 wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198923873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87798469631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrraarraa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61248*b + 61229*b + 61240*b - 183713*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -18*u**5\/5 + 994*u**4\/5 + 806*u**3\/5 - 1218*u**2\/5 - 788*u\/5 + 224\/5 = 0.\nAnswer: -1, 2\/9, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -3 + 4 + -113. Let k = 280 + d. What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 695 = -5*r, 2*r + 3*w = 6*w - 282. Let h = 64 - r. What is the remainder when h is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from lswwsssxwln.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -10\/3 (b) 2\/5 (c) 21619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 10. Suppose 24 = 5*f + 2*x, 3*f + 4*x - 8*x = 30. Determine o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5558292891 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -18.0000325. Round a to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37515 - -1b?\nAnswer: -374e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82364, 164685, 246960, 329189, 411372, 493509?\n\"Answer: -23*q**2 + 82390*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*t - 4*y + 41, -4*t = y + 29. Let u(c) = c**3 + 2 + 2*c - 1 + c**2 - 2. Let m be u(-2). Is m bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322276*f**3 - 9476*f**2 - 10 wrt f?\nAnswer: -1933656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wseosuaueowe. What is prob of picking 2 o and 1 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:27 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136631898 divided by -39?\nAnswer: 3503382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (4 - 6) - 2) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o + 3. Let a be n(-2). Suppose 0 = 2*h + 8, a*j - 11 = 2*h + 69. Suppose 4*x - j - 16 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (273\/(-6))\/((-5)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -775588012.15 and -5.\nAnswer: -775588017.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1822, 7626, 17308, 30874, 48330, 69682, 94936, 124098?\nAnswer: 157174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-63))\/(100\/56).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = -2225*l + 2176*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/13)))\/l*l**10*l**(-1\/2)*(l*(l\/l**(-1\/5)*l)\/l*l)\/l*l assuming l is positive.\nAnswer: l**(1531\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 8*v + 4*v + 5*v - 4*v - 3*v + (-3*v + 4*v - 3*v)*(2 + 3 - 7))*(5*v - 4*v + 0*v) as d*v + u + a*v**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jllllljjjl. What is prob of picking 1 l and 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 3, d: 6, m: 3, s: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13618 - 13618.2. What is the nearest to p in -4\/13, 1\/2, 8?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 254 and 0.17.\nAnswer: 254.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.4 and -0.120998?\nAnswer: 14.4471612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -6?\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 9*j + 5. Let m be g(-9). Solve -2 = u - m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 95*k. Let d(y) = -245*y + 45. Let c(b) = -11*b + 2. Let n(u) = -45*c(u) + 2*d(u). Determine j(n(s)).\nAnswer: 475*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 949351857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 23*r = -128. Let l be (3*r\/(-36) - 3)*-9. Suppose -2*o - 3 + 10 = l*z, 11 = 3*o + 5*z. Solve o*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*p**3 - 196?\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52314433 + 4?\nAnswer: -52314425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*u - 222 + 411 = 0, u + 29 = -5*i - 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 11:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.21 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227386 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 46. Let z = -281\/5 - -56. Which is the second biggest value? (a) z (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141831 and 83430?\nAnswer: 1418310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, -4\/7, -1\/3 in descending order.\nAnswer: 1\/5, -1\/3, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146034509.\nAnswer: 283, 516023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 30. Let g = 1026 + -1026. What is h(g)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by -34?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 62\/(-10) - (-6)\/5. Solve f = 2*v + 2, -3*j - 2*v + 7 = -6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + 53*o + 2*o**2 - 25*o - 27*o)*(5*o - 2*o + 4*o).\nAnswer: -28*o**5 + 14*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -1 + 1\/1. Suppose 0 = r*z - 125 - 215. Let g be 15 + 1 + (-1 - -2). Calculate the highest common divisor of z and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/8*112\/(-3) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-432*r**3 + 0 + 928*r**3 + 2 - 660*r**3 + 8*r)*(2*r - 2*r - r) to the form x*r**4 + o*r**2 + w*r + k*r**3 + m and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2 - l - 489. Let m(a) = a. What is j(f) - m(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.76927503 rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18041330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -32250*v - 8089. Is a(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 53. Let a be x(28). Suppose -a*g - 5*d = -3*d - 29, -9 = -3*g + 3*d. Solve -2*w = 4*i - 37 + g, i = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1691, 2751, 3811, 4871, 5931?\n\"Answer: 1060*o + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -179, -182, -187, -194, -203, -214, -227?\n\"Answer: -b**2 - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*156\/(-910)*(-25)\/20\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 5*z - 2*z)*(173*z + 177*z + 2976*z - 122 + 121) to the form i*z**2 + s + w*z and give i.\nAnswer: 3326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 474.2 + -474. Is -2\/11 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/24 - 3*q**3\/2 + 2*q**2. Let b(g) = 3. Let y(a) = -7*b(a) - 2*v(a). What is the derivative of y(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 9 - 1 - t)*(-30 - 17 + 8) to the form a*t + d and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 60 + 2*k**3 + 28 + 4*k + 9*k + 67*k**2 + 23. What is the tens digit of i(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 2. Let r be x(-4). Let b(a) = 5*a**2 - 286*a + 609. Let d be b(55). Solve l = -9 + d, 1 = 3*z - r*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v - 6. Suppose -i + 6 - 1 = 0. Suppose 22 = -v*k + i*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 18082768?\nAnswer: 325489824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1. Suppose 2*b + 2 = 3*b. Let o(s) = -s**b + 5 + 4*s**2 - 4*s**2. Let x(h) = -o(h) - 5*v(h). Let z(w) = -3*w**2. Give x(z(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**3 + 6645*q**2 - 1907847*q - 955584 = 0. Calculate q.\nAnswer: -1344, -1\/2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 5*v**2 + 4*v - 5. What is l(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 862*y**2 + 301*y + 32. Let v(h) = -h**2 - h + 1. Let b(s) = -p(s) + 5*v(s). Factor b(i).\nAnswer: -3*(17*i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:00 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 5*a - 9, 5*c + 5 = 5*a. Calculate the lowest common multiple of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -q - 3168. Let m = q + 11621\/22. Find the common denominator of m and ((-6)\/16)\/(25\/390).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*f = -7*f - 9, -5*s = f + 3. Let k = 0 + -2. What is the nearest to s in k, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 24*x = -54. Calculate the remainder when 250 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -848, -845, -844, -845, -848, -853, -860?\n\"Answer: -w**2 + 6*w - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 12*i**2 - 22*i**2 - 15*i**2 + 30 + 68*i**2 - 23*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/19662342 and 50\/7?\nAnswer: 19662342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 46*g = -49*g - 13, 19*g - 10*g = 5*u - 50 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v + 133*v + 58*v + 77*v to the form y + x*v and give x.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + -4*((sqrt(288) - -1*sqrt(288)*-4) + 5)**2*3.\nAnswer: -31413 + 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 179920*q**2 + 1798825*q - 4496750.\nAnswer: 5*(q - 35974)*(q - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.15 - -4. Let o = z - 2.6. Let g = o + 19.05. What is g rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91462 and 248254.\nAnswer: 1737778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h + 2. Let d(w) = w + 10. Let c be d(-6). Suppose c*o - 1 = -k - 16, 4*o - 5 = -5*k. Is g(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8879.8 - 8883.40115. Let g = y - -3.6. Round g to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21777*j**2 + 1214 - j + 163837*j**2 - 1214.\nAnswer: 185614*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-53)\/3)\/((-24)\/504)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41503 - 443?\nAnswer: -42350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 71)*-10*(-10)\/200*323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 3. Let q be a(4). Let r be -15 + 15 - q*3. Suppose 0 = -2*u + 4, 3*b - 2*u + 4 = -9. Is r less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 16 - (0 + -1)) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 726?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k**2)*(3 - 1 - 3)*(-5 + 2 - 5) + 2*k**2 + 3*k**2 - k**2 + 3*k**2 + 0*k**2 - k**2 + (k**2 - 4*k + 4*k)*(0 + 1 + 0) - 4*k**2 + k**2 + 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69996 and 87495?\nAnswer: 349980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (968 - -2)*((-289)\/34 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 10*q**2 + 57*q + 529. Let f be p(-11). Which is the fifth biggest value? (a) 2 (b) -0.5 (c) f (d) -1 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose -929 = -5*t - i*o, o - 6 = -4. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*8\/(-16) + 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 23 = 2*k - 7, 5*k - 4*n = 41 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*j + 4*k - 25 = 0, 346*j - 171*j + 23 = 174*j - 6*k for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1831a7 (base 13) to base 9.\nAnswer: -1124176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.1 - 20.4. Which is the second smallest value? (a) -0.5 (b) 1\/3 (c) 1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11460, 11213, 10966, 10719?\nAnswer: 10472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63715963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/23860 and -49\/12018282.\nAnswer: 120182820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 5 + -12 - -32?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from uuwwnwwcw?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 282274575 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*c**3 + 958 + 3*c - 958 to the form r*c + i*c**2 + h*c**3 + p and give h.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z - 39. Let w be q(-3). Solve w = -4*u + s + 3*s + 8, u - 10 = -3*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007487221 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18339 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:54 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/13 + 52112*o**2\/13 - 260610*o\/13 = 0. Calculate o.\nAnswer: -26061, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -371 - -375. Solve -y = 5*s - 1, y = -w*s + 5 - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 56*d**2 - 85*d - 1639. Determine x(-55).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((-512)\/80)\/16*(-4)\/32*-10)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*b + 18, 2*b + 0*b - 12 = -2*f. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + n - 4835 = 0, -h + 34*n - 29*n + 1585 = 0. What are the prime factors of h?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o = -0*o + 216. Let m(b) = 4*b. Let f(a) = a. Calculate o*f(w) - m(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4747 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23109266 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 2*t + 1. Let u(h) = h**2 - 2*h + 1. Give 5*m(a) - 6*u(a).\nAnswer: 4*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + 3 + 3 + sqrt(2448)*-1 + -1 + -5)**2.\nAnswer: 48*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -215913 divided by -1788?\nAnswer: 71971\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/6720 - y**7\/840 - y**6\/180 + y**5\/24 + y**4\/6 - 8*y**2. Let z(g) be the second derivative of q(g). Determine z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*y - 4*y**2 + 6*y**2 - 156*y - 14*y**2 + 317*y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 579079 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(3\/30). Suppose -d*a = -3*a. Is -5\/6 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3 + 12\/3. Suppose -2 = -b*x + 23. Let l be ((-5)\/1 - -3) + 2. Solve -x*v + l*v - 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32477670*m**4 - 5*m**3 - 508255*m**2 + m + 127 wrt m?\nAnswer: -779464080*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, -6352, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 676.2201 weeks?\nAnswer: 4733.5407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 68. Let s(z) = 3*z. Let k(q) = q. Let i(p) = a*k(p) + 2*s(p). Let l(b) = -24*b - 25*b + 1 + 46*b. Calculate 4*i(d) + l(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:30 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -2*w**6\/15 + w**5\/60 + w**4\/24 - 11*w**2 - 15. Suppose 0 = -2*j + 3*j + 1. What is the least common multiple of 44 and k(j)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11236*f + 213464. What is r(-19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 10, 59, 146, 283, 482?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 130. What is the lowest common multiple of 7 and k(-27)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/17 - 22*y\/17 - 6552\/17 = 0.\nAnswer: -52, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -16*q + 55. Suppose -5*s = q*a - 20, -5*s = -2 - 3. Calculate the lowest common multiple of 23 and a.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2648220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -535*g + 529*g. What is the units digit of 1207\/(0 - g\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:04 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlpjleejjl. Give prob of sequence ljj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let i(v) = -3*v + 302118 - 302118. Let y(h) = h - 9. Let o be y(8). Calculate o*n(j) - i(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872564 is divided by 58107?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 13) + 9 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: bda (base 15) to base 9\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600591 is divided by 27072?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p + 9*p - 18*p - 3*p + 2*p + 2*p + (2*p - 3 + 3)*(0 + 1 - 4) as v + l*p and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3387569 or 44\/3?\nAnswer: 3387569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 297 - 152. Let i be (5 - 1) + o + -5. Let m = 25 + 23. Calculate the highest common divisor of m and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 8 = -3*n, -5*n = g - 2*g - 6. Sort -4, 2, g in ascending order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15492876 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 16*g - 10*g - 21*g - 14*g.\nAnswer: -49*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1524*a - 3041. Calculate r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/6882012 and -29\/16092.\nAnswer: 20646036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1957 and 7975974.\nAnswer: 7975974.1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wejejfejefee. What is prob of picking 1 w and 2 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37375 divided by 23?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 3)\/(1\/1). Let p(k) = 2*k - 1. Let c be p(w). Suppose -24 - 76 = -c*b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749490031.\nAnswer: 749490031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 773289408 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 100, 0.2, -5?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.075 - 0.075. Let d = 13.59 + -12.6. Let p = d + 0.01. Which is the third biggest value? (a) o (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 2*z - 9. Let q be b(-8). Let d be -16*(q\/(-133) + 20\/(-14)). Solve d*m = 10*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:36 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17361803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t + 109626532 = 109627756 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 + 7*w + 7. What is b(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(((-100)\/(-8))\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 8. Let a be l(-6). Let k = a + -8. Let j be (k + 5)*(-2 - 1). Let p(n) = -4*n + 3. Determine p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 - 2*u + 2. Let p = -2554 - -2555. What is a(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r + 3. Does 10 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1611, -3610, -5997, -8778, -11959, -15546, -19545?\nAnswer: -23962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/9, 5, 3, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2022*q + 1. Let c(b) = 7*b. What is c(h(f))?\nAnswer: 14154*f + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 6*s + 443*s**3 - 425*s**2 + 425*s**2.\nAnswer: 443*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:45 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (336\/70)\/(3\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 13 = -5*q + 2, -24 = 5*x + q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 - 3 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(68)*-5 + sqrt(68) + sqrt(68) + sqrt(68))\/sqrt(4) + -2.\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 822401919*v*y**2 - v*y + 1734295*v + 7 wrt y.\nAnswer: 1644803838*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.73 - 35. Let z = 0.37 + -0.67. Let v = l - z. What is v rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162.5 + -10.5. Let w = x - -216. Which is the smallest value? (a) 0.2 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -1281, 6\/29?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 31*t + 90. Suppose -7*l + 186 = 11. What is the lowest common multiple of t and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*t - 4*t. Solve -3*i + t*f = -14 - 1, -i + 16 = -5*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.642, 0.3, 1, 3\/5, -0.19 in decreasing order.\nAnswer: 1, 3\/5, 0.3, -0.19, -10.642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2819, 5550, 10075, 16400, 24531?\n\"Answer: n**3 + 891*n**2 + 51*n + 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(833) - (sqrt(17) + (sqrt(136)*-3)\/sqrt(8)))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjr when four letters picked without replacement from rjrjjrrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -82*a**2 - 17*a + 22627. Let y(u) = 29*u**2 + 6*u - 7539. Give -6*r(s) - 17*y(s).\nAnswer: -s**2 - 7599","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d. Suppose 7 = 2*w + 5*k, d = -0*w - w + 3*k - 2. Let y = 707 - 703. Which is the third smallest value? (a) y (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 - 2369 - 6*d**2 + 19*d**2 + 755.\nAnswer: -d**2 - 1614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(19\/3)\/y*y)\/y*y**1)\/(y\/(y\/y**(1\/5)))**(-3\/20) assuming y is positive.\nAnswer: y**(2209\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 122. Let j(k) = 45*k - 2. What is j(u(w))?\nAnswer: 45*w**2 + 5488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2 + 1\/3*m**3 - 1\/2*m**2 + 1\/4*m**4 - 1\/5*m**5 + 0*m. Solve g(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 1 + -2 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q**2. Let s(g) = -57*g - 9. What is r(s(x))?\nAnswer: -35739*x**2 - 11286*x - 891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:16 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6156 and 1881?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -39. Let w = -21 + i. What is the third smallest value in 0.2, w, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -9, 3.\nAnswer: -9, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15102 + d**3 + 16*d**4 - 15200 + 30147 to f*d**2 + i*d**4 + h*d + t + g*d**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 z when four letters picked without replacement from zzkkz.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465.9 + 408. Let i = v + 57. Suppose 1 = -2*z + 7. Which is the biggest value? (a) 1 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w**4 + 168*w**2 - 51*w**4 - 58*w**4 + 181*w**4 + 40*w + 102*w**3 = 0. What is w?\nAnswer: -5, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -624, -4818, -16194, -38340, -74844, -129294?\n\"Answer: -598*t**3 - 3*t**2 + t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -4, 3\/5, 24\/19, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 + -428748?\nAnswer: -428626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 - 4220*j**4 + 886190*j**3 + 1785060*j**2 + 894645*j = 0 for j.\nAnswer: -1, 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -3920, -13089, -30936, -60353, -104232, -165465, -246944?\nAnswer: -351561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/135)\/(11\/(-99)*(-198)\/(-44)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 117, 252, 441?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/3 - 47*a**4\/3 - 258*a**3 - 4676*a**2\/3 + 392*a\/3 + 21952.\nAnswer: -(a - 3)*(a + 8)*(a + 14)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.02, -0.2, -3\/5, 79.12 in decreasing order.\nAnswer: 79.12, 2, 0.02, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 10*x + 5. Let a be w(-7). Let l be (a\/(-6))\/((-8)\/(-48)). Calculate the greatest common divisor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*i - 86*i = -27. What is the greatest common divisor of i and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 654 - 649. Which is the second biggest value? (a) 10\/7 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/7 (c) -1\/2 (d) -161.6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4 (base 15) to base 8.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2032 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from dmtmdtdxmymy.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q. Suppose -4*a = -0*a - w + 12, 0 = 5*w. Put a, q, -1 in increasing order.\nAnswer: a, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41014 - 12?\nAnswer: 41002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*j - 23410, 83*l - 7822 = -j + 81*l. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -3. Let p = y - 1. Calculate the remainder when ((-8)\/(-6))\/(2\/51) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29228 + 102910. List the prime factors of m.\nAnswer: 2, 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -17. Let y(m) = 6*m**2 - 3*m - 13. Let p be y(j). List the prime factors of 1\/(-1 - (-265)\/p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2486, 2308, 2130, 1952?\nAnswer: 1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044656 to the power of 1\/2, to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56129 less than or equal to 841946\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(4*sqrt(10)))\/(4*(sqrt(245) - sqrt(5))).\nAnswer: sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841051?\nAnswer: 67, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 - 5*z**3 - 2*z**3 - 2*z**2 + 4*z**2 to the form d*z**2 + x*z**3 + y*z + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 123, 152, 181, 210?\n\"Answer: 29*y + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 6 = 3*g, 4*u = -4*g. Which is smaller: -2\/8455 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808*r**3 + 8*r - 25*r + 5*r + 12*r.\nAnswer: -1808*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)*i)\/(i\/(i**(14\/11)*i))*(i*i\/(i*(i*i\/(i\/(i\/(i\/(i\/(i**(-25)\/i)))))*i)\/i))**(1\/16) assuming i is positive.\nAnswer: i**(751\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/2 - 301*s**3\/2 - 15150*s**2 - 515000*s - 500000 = 0.\nAnswer: -100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4361752, -8723502, -13085252, -17447002, -21808752?\n\"Answer: -4361750*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -83, -152, -241, -350, -479?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8319293 divided by -1?\nAnswer: 8319293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/9 + 17\/45. Which is the nearest to 0? (a) h (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.3803263 to 2 dps.\nAnswer: -12.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7348155 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 + 0 + -6 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 251 + 233 = 3*j, -4*c = j + 11 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 1. Let v(j) = 5*j**2 + 3*j + 6. Let u(i) = i - 31 + 57 - 27. Let g be u(5). Calculate g*b(q) - v(q).\nAnswer: -q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + i - 7 = 0, -3 = -3*f + 2*f - i. Suppose 4 = f*r - n + 5, 3*n = 15. Solve 0 + 1\/5*j**r + 1\/5*j = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**3 + 35*f**3 - 61*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-239*z + 32*z - 141*z)*(4 - 1 - 2)*(-5 + 0 + 3)*(2*z + 0*z + 0*z) as l*z + u*z**2 + d and give u.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 4*j**2 + (-j + 4 - 4)*(-j + 0*j + 2*j))*(11*j**2 + 9*j**2 + 5*j**2).\nAnswer: -125*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*n + 50 = 0, 4*n = -2*m + 7*n + 60. Let x = m + -9. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29770206121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*d - 5, -329*n + 328*n + 5*d = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k**3 + 88*k**3 - 42*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4 + (0 - 7 - 1)*(2 + 0 - 3))*(3*g + 2*g - 4*g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88614569183 plus -5?\nAnswer: -88614569188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)\/(sqrt(10) - 1*sqrt(10)*4)*5 + ((-4*sqrt(352))\/sqrt(8))\/(sqrt(4) + (sqrt(12)*-3)\/sqrt(3)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2109.97603 + 0.02397. Let w = i - 2100.07. Let f = -9.9 + w. What is the second smallest value in f, -5, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j - 1. Suppose 2*h - 3*x = 21, h + 0*h = 3*x + 18. Determine k(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose -5*l + 19 = -6. Let v(i) = -3*i**3 - 11*i**2 - 3*i - 7. Let a(f) = f**3 + 5*f**2 + f + 3. Let q(r) = l*a(r) + 2*v(r). What is q(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 755, 785, 851, 953?\n\"Answer: 18*o**2 - 24*o + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(43 - 52 - (0 - 7)). Solve y = 4*t - k, 27 = -4*t - 3*k + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 0.31. Let a = -0.96 + 1.2. Let y = 0.06 + a. Put s, y, -4\/7 in ascending order.\nAnswer: -4\/7, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/43, -2\/9, -1\/729 in ascending order.\nAnswer: -28\/43, -2\/9, -1\/729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015831 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t + 4. Give l(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/600 + b**5\/50 + b**4\/10 + 4*b**3\/15 - 13*b**2. Factor v(p).\nAnswer: (p + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*r + 2*r. Let z be 2\/10 - (-23)\/r. Sort -0.09, z, 2 in decreasing order.\nAnswer: 2, -0.09, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 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: Find the common denominator of -145\/234 and -19\/182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q)**(-20)*q**(5\/6)\/(q\/(q*q**(-23)\/q)) assuming q is positive.\nAnswer: q**(-979\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 - 194175*a**3 + 1941747*a**2\/5 - 970873*a\/5.\nAnswer: a*(a - 970873)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38101 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**2 + 7*t + 6. Let g = 1 + 0. Let o = 6 - g. What is x(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12298746642+-18.984\nAnswer: 12298746623.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, -13, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e + -8b0?\nAnswer: -91e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 + 0 = -2*h, 2*h - 6 = -2*s. Suppose -t - 2*t - 23 = -4*a, -3*t - a = -s. Put t, 3, -3, -10 in increasing order.\nAnswer: -10, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.919 + -22.019. Let k be (0 + -1)*(6 + -5). Put d, k, -13 in decreasing order.\nAnswer: d, k, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9319.41 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -7\/2*a**2 - 4*a + 0 + 13\/6*a**3. Let w(y) = -7*y + 4. What is -6*h(b) - 11*w(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -360.3, 2\/5, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015646478 rounded to five dps?\nAnswer: -0.01565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {z: 1, v: 1, l: 3, u: 1, n: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-189)\/56*-1. Let i(r) be the third derivative of 0 + 27\/40*r**5 - y*r**4 + 0*r - 4*r**2 + 1\/280*r**7 - 3\/40*r**6 + 81\/8*r**3. Factor i(t).\nAnswer: 3*(t - 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + (0 - -3) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1026900 by 10.\nAnswer: -102690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/6975 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:09 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10394155 is divided by 1297?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-390)\/(-27))*9\/((-81)\/(-6))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 85. Let l be 13 + (-1)\/3*-3. Suppose -l = -4*i + 3*i. What is the highest common factor of i and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.04842 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 2, 2*g + s = -g + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 6*r - 3. Let d = -4 - 0. Give z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - (-8 - -20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 429*l**5\/5 - 19551*l**4\/5 - 14247*l**3 - 8085*l**2 + 70806*l\/5 + 59976\/5 = 0. Calculate l.\nAnswer: -2, -204\/143, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12940 (b) 124\/3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (29\/1 + 4)\/1. Calculate the greatest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 24, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*i**3\/5 + 28*i**2\/5 + 4*i\/5.\nAnswer: -4*i*(i - 1)*(8*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/11 - ((-27200)\/44)\/50.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b + 7. Calculate j(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 - -1347\/5. Which is the smallest value? (a) x (b) -1\/3 (c) -2\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 5, h: 3, t: 2}. Give prob of sequence hh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/105 - h**5\/20 + 9*h**4\/2 - 11*h**2 - h. Find the second derivative of u(k) wrt k.\nAnswer: -24*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*j + 3*j = -12, -j = -3*y + 3. Let g(d) = 26*d + 17 - 40*d + 2*d**y + 22*d. List the prime factors of g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15005048*h + 31. Let n be m(-3). Let x = n - 86915175. What is x rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3 - 0) + (1 - 4). Let w = 37611 + -188756\/5. Let o = 139 + w. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -22*r**2 + 10*r + 20. Let n(c) = -22*c**2 + 12*c + 24. Let b(p) = -5*n(p) + 6*u(p). Let a(g) = 22*g**2. Determine a(b(h)).\nAnswer: 10648*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.5621nm in meters?\nAnswer: 0.0000007655621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/957 and -47\/13239.\nAnswer: 4223241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.01, 1, 0.4, -0.4, -12, 16, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/108679 and 31\/1146.\nAnswer: 652074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5876.5726 to the nearest ten.\nAnswer: -5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 3471*v**5\/20 + 2019*v**4\/4 - 2*v - 377. Find the third derivative of o(b) wrt b.\nAnswer: 20826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000101110011011100001 (base 2) in base 9?\nAnswer: 17124783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -189 + 3*b - 188 - b + 376. Let g(z) = 10*z - 4. Let q = -30 - -65. Let y = q - 21. Calculate y*l(a) - 3*g(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 84308984*y.\nAnswer: 4*y*(y - 21077246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45581 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10558 + 10557.9999994559. What is h rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*j - 150 = 312*j + 34*p, 4*p = -2*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 at least as big as 0.18493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964 divided by 2?\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4396538 millennia in years?\nAnswer: 439.6538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 5*y - 8. Let l be g(-2). Suppose l*s - 25*s = 0. Solve s = -16*v + 17*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 2*v**3\/3 - 23*v**2\/2 + 16*v. Let l be q(6). Suppose 3*o = 2*m - 4, 4*o - 7 - l = 0. Solve x = -m + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*j + 89*j - 48*j + 1092 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + (-3 - 95\/(-15)). Suppose 2*k = x*a + 20, 5*k - 6 = -3*a + 2. Let q be a\/(-7) - ((-120)\/35 + -5). Solve -q = -0*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 271*z**5\/15 + 733*z**3\/6 + 227*z**2 + 4. Differentiate u(n) with respect to n.\nAnswer: 2168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 1. Let y = -27 - -22. Let p be ((-1)\/3)\/(4\/(-36)). Let q(a) = p*a**2 - 5*a**3 + 0*a**2 + 9*a**3 + 5 - 5*a + 2*a**2. Give y*c(b) + q(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82938545 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m + 327*m + 195*m - 580*m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3267*n**2 + 8*n + 4. Let w(r) = 1634*r**2 + 4*r + 2. Give -3*q(k) + 7*w(k).\nAnswer: 1637*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 237 = 82. Let n = r + 39. Suppose -n = f + 5*m, 0 = 6*f - 3*f + 3*m + 18. Sort -2, f, -4 in decreasing order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + f + 2*f. Let t(x) = 66*x - 63*x - 8 - 3 + 20 + 3 + 27. Calculate a(t(i)).\nAnswer: 6*i + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-7)\/(-130) + (-36)\/234). Let m be (-16)\/x*(4 - -11). Let q(d) = d**3 + 12*d**2 + d + 13. Give q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7105, -14142, -21191, -28258, -35349, -42470?\n\"Answer: -r**3 - 7030*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + a - 4*a + 1 + 6*a + 0*a.\nAnswer: -(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4.47?\nAnswer: 6.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 81588.\nAnswer: -16317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*y = -0*f - 1951, 2*f - 5*y = 953. Let d = -52 + f. Suppose 1702 = 2*z - d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361616 by 776.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5662656 and 6370488?\nAnswer: 50963904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -82*z - 131. Calculate the remainder when u(-4) is divided by 54.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -471 - -373. Let o = -93 - h. Solve -3*l + 8 = -4*u, 18 = -4*u + o*l + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i. Let o be (2 + i)\/((-10)\/(-40)). Solve -d + 5*d - o = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1 + (-2 - (1*-738 - 0)). What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 6666984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4\/3 - 283*p**3\/3 - 6389*p**2\/3 - 46037*p\/3 + 3971 = 0.\nAnswer: -33, -19, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32800 + -14346. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 521, 1165, 2065, 3221, 4633?\nAnswer: 6301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httthttcttchtttcht. What is prob of picking 3 t and 1 c?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*y**2 - 85*y - 38.\nAnswer: (5*y - 19)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o + 69. Suppose 0 = 4*k - 2*m - 34, 0 = -111*k + 114*k - 2*m - 28. Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3. Let l = 378 + -376. What is the nearest to m in -1\/4, 1\/7, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2.64 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - -138. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c**4 - 81*c**3 - 21*c**2 + 45*c = 0. Calculate c.\nAnswer: -5, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-63))\/(670\/(-2345))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - (-183852639)\/(-5460). Let l = -33673 - w. Let k = -8473\/1820 - l. Calculate the common denominator of k and -17\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/15*(-10)\/(-8). Which is the second smallest value? (a) -1\/4 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(5\/2) assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/6 + 40*g**3\/3 + 2*g**2. Let p = -32 - -32. List the prime factors of d(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(4500) + 0 + -5 + -1)*-3)*-4.\nAnswer: -720*sqrt(5) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 21 - 4*i - 7)*(-4*i**3 - 2*i**3 + 5*i**3).\nAnswer: 4*i**4 + 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5317, -8212, -8683, -6730, -2353?\nAnswer: 4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 313*t + 9 = -0*x + 310*t, 4*t = 4*x + 20 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 - 188. Solve 0 = 3*d + 2*u - 0*u - 11, 4*u = d - w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1 - 0) + 6 + (-180)\/10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26621 - -26739. Solve -14 = 22*n + k for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * 0.9.\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 - 7*h - 7. Let b = -3 + -2. Let o be p(b). Suppose -2*l - t = -o, -4*l + 7*t + 1 = 4*t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16292.2 - 0.3?\nAnswer: -16292.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 3*m - 192 = 0. Let p(i) = 10*i - 4. Let u be p(-3). Let c = m - u. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -147, -474, -1117, -2184?\nAnswer: -3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*m - 6. Suppose 3*q + 2*q = 4*s - m, s + 4*q = 12. Solve 4 = 4*b - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 5*m + 13*m)*(3597*m**2 - 3594*m**2 - 15*m + 2 - 2*m).\nAnswer: 51*m**3 - 289*m**2 + 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 - 10488*v\/13 + 20984\/13.\nAnswer: -2*(v - 2)*(v + 5246)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4, -5, -11, 116\/27 in increasing order.\nAnswer: -11, -5, 2\/5, 4, 116\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 770527747 to the power of 1\/3, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.5853 times 5?\nAnswer: 1797.9265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 952 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -20*v**2 - 9080*v - 18152. Calculate z(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0.5, -10, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y - 5. Suppose 7 = y*c - 8. Suppose 31 = c*j - 3*p, -j + 2*p = 1 - 3. What is the greatest common divisor of j and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -31*a**2 + 1649*a - 318. What is d(53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103 - -1862. Let c(o) = 48*o**3 - 2*o**2 - 2*o - 1. Let x be c(-3). Let m = x + k. What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v, -2*v = -2*m. Suppose -3*j + 12 = 0, 63 = 5*y - 3*j - m*j. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8741, 5883, 3025?\n\"Answer: -2858*t + 11599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/165 - 1\/5. Let i = -2363\/1505 + 852\/473. Let j = i - d. What is the closest to -1\/4 in -3, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 12) to base 16\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - (-94)\/8. Let s(g) = -g**2 - 2. Let w(t) = -2*t**2 + 13*t - 20. Let r(f) = s(f) - w(f). Let z be r(h). Solve m - z = -y, y = 4*m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(833)*-1 + 1*sqrt(833)*2)*-6 + -4)**2.\nAnswer: -1008*sqrt(17) + 269908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*x = x + 11, 3*x = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8224*j**4 + 93472?\nAnswer: -32896*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o + 331 - 178 = 5*d - d, 0 = -2*o - 3*d + 67 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w**3 - 9*w**3 + 29*w**3.\nAnswer: 70*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Let k(a) = 2*a - 10. Let m be k(2). Let t be (5 + (-5 - 2))*(m - 2). Solve 0 = -z - l*d - 4, 4*z = -2*d + 5*d - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*-3*3)\/(sqrt(6)*2*-6).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (7 + -20)) + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216752 and 6?\nAnswer: 650256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 26*g. Let s(d) be the third derivative of 0*d**3 + 0*d + g + 3*d**2 - 1\/8*d**4 - 1\/20*d**5. What is the second derivative of s(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 57*t + 166. Does 16 divide u(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -0.5 (b) 0 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 938304, 1876501, 2814610, 3752631, 4690564, 5628409, 6566166?\nAnswer: 7503835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*l - 93*l + 12. Let o(t) be the first derivative of -t**3\/3 + 3*t**2\/2 + 3*t - 156. Give o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5190845.22 to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 34.00325. Round k to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4. Let a = -1.8 + 2.2. Let w be (-805)\/2100 - 1\/(-4). Put a, z, w in increasing order.\nAnswer: z, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381.53797 rounded to one decimal place?\nAnswer: -381.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:48 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*c + 6. Let b(x) = x**2 + 3*x - 6. Let k be b(c). Suppose -k*g + 4*a + 189 = 53, -2*g = -4*a - 66. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*t + 988 = -199 - 193 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, 0, 105 in descending order.\nAnswer: 288, 105, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4938 - -0.04\nAnswer: -4937.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + -101100010011?\nAnswer: -101011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -1 + (-8)\/2. Suppose -k + p = 2*k - 15, 5*p + 15 = v. Suppose 2*j - 3*h = -3*j + 1207, k*h + 16 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5\/5 + 2031*r**4\/5 - 810*r**3 - 6*r**2\/5 + 4053*r\/5 - 405 = 0.\nAnswer: -1, 1, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:44 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3881314, -7762613, -11643912?\n\"Answer: -3881299*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 354 = -105*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**4 - 82*s**3 + 32*s**3 + 16 - 34 + 17 + 2*s + 25*s**3 + s**2 to a*s + c*s**4 + n*s**3 + i + t*s**2 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 40 = 46. List the prime factors of 15 - (-3 - 1) - b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684 divided by 1\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2125*m*x**3 - 829*m*x**2 + m - 17*x**3 + 38681*x**2 - x wrt m.\nAnswer: -2125*x**3 - 829*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jij when three letters picked without replacement from iiiiijj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 44 - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*i + 1015 - i**3 + 37*i - 1017 - 66*i + 2*i**2 to z*i**3 + n*i + m + q*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-15)*(-15)\/(-6). Suppose 3*q - 5*s = -13, -q + 24 = u*s + 2*s. Suppose a - 10 + q = 0. Let y(h) = -h + 10. Calculate y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from kakcah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 4. Let h be ((-2)\/6)\/((-8)\/(-96)). Let m(a) = 3*a + 3. Determine h*m(t) + 3*r(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**1)*z)\/z*z*z*z\/(z*z**(-2\/9)\/z)*z*z*z**2\/z*z\/((z**(-1\/2)*z)\/z) assuming z is positive.\nAnswer: z**(175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 11*v + 1984. Let m = -123 + v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193696 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 1. Let r(a) = -10*a**2 + 13*a + 3. Let z(v) = 3*o(v) - r(v). Let u(x) = -2*x**2. Give z(u(q)).\nAnswer: 40*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 8103748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 142. Suppose 572 = -3*l + 7*l. Let v = l + c. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517934 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627621944.\nAnswer: 2, 328452743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1.5, -320, -5, -2\/13, -247, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -247*l. Let r(s) = -s - 66. Let p(z) = 12*z + 726. Let k(f) = -2*p(f) - 22*r(f). Calculate k(j(h)).\nAnswer: 494*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 70*w - 116. Calculate the remainder when 66 is divided by d(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7365.07 nanometers in millimeters?\nAnswer: 0.00736507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -15.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1. Let m(k) = -k**2 - 11*k - 31. Let g(h) = -m(h) - 4*n(h). Calculate the remainder when 30 is divided by g(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -118*g + 6050. What is a(51)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n - 3. Let t = 36 - 26. Suppose -3*u - t = 2*u. Calculate m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/12*48\/(-140))\/(648\/1620).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161008 - 4?\nAnswer: 161004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 177*m + 172*m + 35 = 0, 4*t + 14 = -2*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3654087 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2360534.\nAnswer: 7081602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 8. Let v be p(-11). What is the nearest to 7 in v, 2\/13, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -31 in increasing order.\nAnswer: -31, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and (3\/6)\/((-2)\/(-24))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (2 + (5 - 4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189174, -189413, -189658, -189909?\nAnswer: -190166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**3 - 2*x**3 - 3*x**3)*(3 + 2 - 3)*(-x + 0 + 0).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/5 + 2536*t**2 - 728472*t\/5 - 301536 = 0. Calculate t.\nAnswer: -2, 60, 6282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*g*r**2 - 41*g*r - 44*g - 25608*r**2 - 6*r - 1 wrt r.\nAnswer: 46*g - 51216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 199571350 rounded to the nearest one hundred thousand?\nAnswer: 199600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 + 0.05. Let i = 18 + 7. Suppose 2*s + 3 = h - 2, 0 = -4*s - 5*h + i. Which is the closest to 0? (a) -1\/6 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18367*w - 19838*w + 38247*w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 118. Let f = -18 + 25. Suppose -3*y + 4*x + 15 = -f, y = a*x + 9. Solve j - 4 = -y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 1 + 5*u - 7*u + 4*u as y*u + s + l*u**3 + z*u**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187 or -2\/19?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/15)\/((-1)\/(-10)). Let w be (5 + -1)\/((-8)\/z). What is the units digit of 8\/(w - 0\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 59\/43?\nAnswer: 59\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 62. What is the remainder when n is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42964132 is divided by 3103.\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-13)\/((-78)\/(-36)))\/((-3)\/2). Suppose 2*b = n*c + 640, -2*b = -4*c - c - 635. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + (-6)\/(-21). Suppose 2 = -c - v. Put c, -4, 2 in ascending order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -772 + 792. Solve 0*b - t = -3*z - 5*b, -4*z - 5*b = -20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*w - 90, 3*x + 3*w = -x + 74. Let k = -14 + x. Let c be (-68)\/(-6) + 4\/k. Solve -5*d + l + 3*l - 15 = 0, -4*l = 4*d + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15006 is divided by 3000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g. Suppose 2*u + 0*u = 58. Let f = g + u. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*-3*(-1)\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:36 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 469, 525, 601, 697?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**6\/90 + u**3\/3 - 3*u**2 + 21. Let k(b) be the third derivative of h(b). Factor k(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*y**3 + 2*y - 5 + 6 as a*y**3 + o + w*y**2 + h*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 108.3 (c) 0.3 (d) -132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 4:43 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1645, -9818, -23427, -42460, -66905, -96750, -131983?\nAnswer: -172592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 404?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/(174\/58)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 19, 55, 127, 247, 427?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57059 - 7362. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/347, -4, -572\/135 in descending order.\nAnswer: 4\/347, -4, -572\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/27, 3, -0.06, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -40678.024 to the nearest one hundred.\nAnswer: -40700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 2*d**3 - 8*d**3 + 18*d**3 - 6*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 217 = -3*l, 16*l + 379 = 11*l - 4*m. Let k = l + 81. Suppose -k*i = -s + i + 21, -2*i = -10. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23 - 11\/(30316\/65390) and -29\/424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x - 3*x**2)*(-27 - 22 + 61) in the form v*x + k*x**2 + z and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 4, f: 7, d: 2, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-10)\/(-20)*2)\/(-1). Solve h = -5*g - 2*p + 2, -15*g + 20*g + 3*p - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7065 - 7051. Which is the closest to i? (a) 46 (b) -0.3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.16435 and -401?\nAnswer: 400.83565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgtgggsgppgg. Give prob of sequence ssgp.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 200 + 49 + 125. Solve -31*h + y*h = 3*n, 10 = -h - 4*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/((-1840)\/441600).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9282 and 915460.\nAnswer: 46688460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/1762?\nAnswer: 35\/1762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 891\/945 - (-6)\/105. Solve -17*u + 18*u = -p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-8 + 4) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(2*15\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 42 = x + 2*z, -5*x + 101 = z. Suppose 0*o - x = 4*o. Let d(f) = -f**3 - 6*f**2 - 4*f + 7. Calculate the lowest common multiple of 10 and d(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-15)\/(-5))*-3. Let v be 26*4\/(-8) + z. Let j be v\/5 - 18\/30. Sort 11, j, 2 in ascending order.\nAnswer: j, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 775\/93*(-1)\/5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/24*8)\/((-6)\/(-534)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 267218482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 11 = -5*k, 6*k - k + 23 = i. Suppose -2*h = -q + 6 + 33, -3*h = -i*q + 105. Let l = q - -39. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254992412.\nAnswer: 2, 1931, 33013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 29406*p - 72059403.\nAnswer: -3*(p + 4901)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 at most as big as -8124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36861.5 plus -63.5?\nAnswer: -36925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 61*q. Let y(h) = 4*h**2. Give o(y(m)).\nAnswer: 64*m**4 - 244*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 1. Let v be i(-2). Suppose v*u = -2*q - 3*q + 125, 3*u - 80 = -4*q. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -19. Let d(r) = -r**2 - 7*r + 3. Let p be d(z). Let s(l) = 2 - p*l**2 + 0*l - l + 17*l**3 - 16*l**3. Calculate s(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3876620 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 - (-6 + -35).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 0.05, -113\/7, 0.5, -1, 3, -9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 52804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*p - 2*o, -3*p + 3*o = -179 + 101. Calculate the remainder when 942 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3010)\/(-51170) + (-372)\/(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229518, -459059, -688588, -918099, -1147586, -1377043?\nAnswer: -1606464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(1 + (0 + 4 + sqrt(2299) - (-1*sqrt(2299) + -2))).\nAnswer: 112 + 352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328966 is divided by 2253?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4\/59 (b) -5 (c) -0.3 (d) -1671\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 769005100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from xxppappx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 + 4. Let o(z) = z - 1875 + 1875. Determine a(o(c)).\nAnswer: -4*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let t = q - 3. Suppose -9 = t*d - 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0537 - -788.0537. Let w = r + -787.8. What is the third biggest value in -0.2, 0.1, -1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157199, -157202, -157215, -157244, -157295?\nAnswer: -157374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207 - -207. Let j(p) be the first derivative of p**3\/3 - p**2\/2 + 11*p - 1. Calculate j(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 4915*r + 3668*r as v + i*r and give i.\nAnswer: 8579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8092\/1734)\/(8\/(-60))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -19. Let d = 17 + a. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.4471 times 0.002\nAnswer: 0.0468942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x. Let f be y(4). Suppose 0 = 4*u + 4*p + 4, 1 = f*u + 5*p. What is the remainder when (u + -25)*1*-1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/165 + 4*d**5\/11 - 200*d**4\/33 + 28*d + 1. Factor j(z).\nAnswer: -2*z**2*(z - 20)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -4*d**5\/5 - 10*d - 11. What is the first derivative of s(z) wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248 - 2490 + 1242 + 18*n - 4*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 14*l**2 - 10*l**4 - 5\/4*l**5 - 4*l + 0 - 1\/24*l**6 + 160\/3*l**3. Find m such that k(m) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:18 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125088.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10565181 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 16 = -34*n + 2*m, 0 = 3*n - 2*m + 11. Let o(x) = -x + 2. Let y(v) = 3. Let i(t) = -2. Let z(j) = -5*i(j) - 3*y(j). What is n*z(k) + o(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0247 + -1.92.\nAnswer: -1.8953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from nmwbamnaawwnbg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146692 + 1614809\/11. Let r = 109 - q. Let a = 0.3558 + -0.1558. Sort r, a, -0.05 in descending order.\nAnswer: a, r, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 46*p - 18. Let j be y(10). Let f = j - 421. What is the smallest common multiple of f and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**5 - p**2 + p**2)*(-6 - 5 + 2).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424 + 444. Is 3\/11 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6007564 to the nearest integer?\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k + 35. Give h(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4243, -8485, -12727, -16969, -21211?\n\"Answer: -4242*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*y + 63350 = -2648*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let q(v) be the second derivative of -v**3\/6 + v**2\/2 - 15*v. Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:25 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 4*f**2 - 39848*f + 135690*f.\nAnswer: 2*f**2 + 95842*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(15) - (2*sqrt(15) - sqrt(15))))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, -0.1, -936, -1\/6 in increasing order.\nAnswer: -936, -0.3, -1\/6, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 13*u**5\/60 + 17*u**2. Calculate a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -92, -86, 48, 382, 988, 1938?\n\"Answer: 12*v**3 - 44*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114374?\nAnswer: 2, 13, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i. Let z(d) = 11*d - 2. Let v(g) = 22*g - 5. Let a(y) = 2*v(y) - 5*z(y). Calculate s(a(h)).\nAnswer: 66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 402 in -1, 2\/13, 1.2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 3. Let g = 0.1 + t. Suppose -16*h + 87 - 151 = 0. Sort 0.5, g, h in decreasing order.\nAnswer: 0.5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (483\/(-55))\/7. Let o be 16\/(-11) + 1\/1. Let g = o - m. What is the second biggest value in -1\/9, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + 26*h**2 + 14*h - 3. Calculate m(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 215796?\nAnswer: 1078980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 1)*(134*n**2 - 134*n**2 + 3*n**3).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 16*j + 31. What is q(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002978256587 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/(-42) + 3 + 6\/(-21). Let p = -70 + 74. Suppose d = 5*f + p*g - 468, 0 = -2*f + g + 87 + 108. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 156*v + 1870. Give f(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + 30?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8942.79 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 10*q\/7 + 408\/7.\nAnswer: -2*(q - 17)*(q + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + o + 2. Let j be t(2). Let i = -5 + j. Let l = 30 + i. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12003124123 (base 5) in base 11?\nAnswer: -7823878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 28. Let o be 199127\/27 + (-80)\/1080. Let j(c) = -o + 7375 + c**2. Give m(j(x)).\nAnswer: -2*x**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012504 (base 8) to base 5.\nAnswer: 32030323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -19\/995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -42*s**2. Let v(w) = -24*w**2. Determine h(v(k)).\nAnswer: -24192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0550803496 to five dps.\nAnswer: 0.05508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from cciccicciicciiic?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-72) + (-4)\/18. Let k(c) = 10*c - 17. Suppose -4 = -2*o - 0. Let l be k(o). What is the third smallest value in d, l, -1.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.518378*0.2\nAnswer: 0.7036756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4 - 13*b + 8. Differentiate j(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.3495685 and -3?\nAnswer: -46.0487055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -153668 divided by 82\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 + r + 1. Suppose -2*n = -7*n - 25. Let g = 7 + n. Let o be q(g). Calculate the highest common divisor of o and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.12 + 62039507348?\nAnswer: 62039507373.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -132*j**2 + 5. Let x(l) = -660*l**2 + 24. Calculate 24*s(w) - 5*x(w).\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2\/9 (c) 20\/7 (d) 37583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:19 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/100)\/((-2)\/40). Solve 0 = -5*u - n - 26, -6*u + u = x*n + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934 + 1097 = -31*w - 4*k, -3*w = k + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6372 and -1\/1156872.\nAnswer: 10411848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 65. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576 is divided by 107?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224\/9*q**3 - 64\/3*q - 392\/9*q**2 + 10\/9*q**4 + 0 = 0. What is q?\nAnswer: -24, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/(-497)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768986 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 - -1468.9547?\nAnswer: 1468.6247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/6)\/(-4))\/((-29693)\/(-759) - 39)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g**2 + 4*g + 3. Let v(z) = 17*z**2 + 3*z + 2. Let u(k) = -3*l(k) + 4*v(k). Find the first derivative of u(p) wrt p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaooaaaaaoaaaaaaaaa. Give prob of sequence aoo.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*z**2 + 2632*z - 3636352 wrt z.\nAnswer: -120*z + 2632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*k + 11 = -7, 3*g = 3*k - 9. Suppose 0 = g*u - 7*u + 10. Suppose u*q - 106 = -12. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 895 - 232. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494 is divided by 281?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001160004426 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - a)*(0*a - 7*a + 3*a)*(-2 - 4 + 5).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -13.976. Let h = 0.035 + 0.141. Let k = h + n. What is the third smallest value in 2\/9, k, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {r: 2, i: 3, v: 6, b: 6, s: 3}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*h**3\/5 - 1252*h**2\/5 + 24648*h\/5 - 6084\/5 = 0. Calculate h.\nAnswer: 1\/4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 + 161*l + (10 - 11 + 11)*(0*l - 2*l + l) as f*l + r and give f.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, 684, -0.8, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2731 - -2893. What is the remainder when n is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 585 + -584.549. Let y = 0.051 - x. Which is the nearest to 2\/9? (a) -3\/2 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 936419724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -22?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16951 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 52. What are the prime factors of u?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.0537 milligrams to kilograms.\nAnswer: 0.0009780537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 180*m**2 + 1. Suppose -3*w - 4 = w. Let h = w + 0. Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + 21*j**3\/2.\nAnswer: -j**3*(j - 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112413 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**10\/560 - g**6\/180 - g**3 + 4*g. Let c(i) be the second derivative of o(i). Find the third derivative of c(j) wrt j.\nAnswer: -1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39233.31 + -38581.3397. Let p = -652 + q. What is p rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.4117093 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 6136 + 2652. What is the highest common factor of j and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 17, -3.\nAnswer: -3, -1, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4 - -4) + 2 - (-275 + 321)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.6622333*-0.3.\nAnswer: 2.89866999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4673 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(10\/3)*w*w))\/w**(2\/3))**(-44) assuming w is positive.\nAnswer: w**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.5. Suppose -358 = 28*z + 174. What is the second biggest value in t, 0.2, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 1217. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, t: 3, i: 4}. What is prob of picking 1 y and 2 t?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10444 or -2644?\nAnswer: 10444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.87395.\nAnswer: -0.262185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 420 + -7?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 485261219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -5. Suppose -2*t + y + 3 = 0. Let w(a) = -a**3 + 7*a**2 - 5*a. List the prime factors of w(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 - 189829383613?\nAnswer: -189829383613.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**44*u**(-12) assuming u is positive.\nAnswer: u**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 91*l**3\/2 - 192*l. Let v(u) = -26*u. Give -52*v(d) - 5*y(d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49591? (a) -5 (b) -3 (c) -2 (d) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4404*p**3 + 3*p - 4406*p**3 - 5*p + 2*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.1 (b) -23 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 46*f + 4. What is p(-6)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -29. Let k = y - 4. Solve 1 + k = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28026064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 326997179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**3 + w**2 + 2. Let x(z) = 50*z**3 - 6 - 15 - 9*z**2 - 8*z**3 + 18*z**3. Give 21*p(d) + 2*x(d).\nAnswer: -6*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -28?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -8)*(-3271)\/(-1). Suppose g = 17*p - 6232. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j**3 + 12*j**2 - 12*j - 12. Let t(o) = o**3 - o**2 + o + 1. Let y = -53 - -54. Give y*p(z) + 12*t(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3\/45*3 - (-8404)\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -122899*q - 3. Let c(u) = -6*u**2 + 1. What is s(c(p))?\nAnswer: 737394*p**2 - 122902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:20 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -77*(-14)\/294*31\/((-93)\/18)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -34*p - 223. Let d be x(-7). Solve 3 = -3*i - 2*n - 9, -5*n = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-16) + (-1)\/4. Let v = 3384 - 3103.4. Let d = v + -281. Which is the nearest to -1? (a) 10 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 55 = 5*f + 35, 2*f = 4*k + 8. Solve -o + 24 = -5*u, -f*o = 10*u - 5*u + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83369803833276 - 2\nAnswer: -83369803833278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, -3*u = 5*r + 225 - 65. Let o = r + 39. Suppose -o*c = -6*c - 3. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3188805185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 7*y - 6*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 5067 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*o**3 + 14*o - 2782 wrt o.\nAnswer: -342*o**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2 in decreasing order.\nAnswer: -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, a: 1, j: 2, n: 1}. Give prob of sequence nju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39715970 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 - 13*a + 6. Let z(m) = 6*m**2 + 12*m - 5. Let t(d) = -5*y(d) - 6*z(d). Calculate t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (2 - 0)*15\/10. Sort o, 4, -6, -5 in increasing order.\nAnswer: -6, -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a + 234 = k, -k + 4*a + 234 = 0. Suppose 4*t - 17*t = -k. Suppose 35 = 4*n - 61. Calculate the highest common divisor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11442592 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 1, z: 8, k: 1, u: 2, o: 2}. What is prob of sequence onuo?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -24, 23, 0, -0.01, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 17}. Give prob of picking 3 a.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 12. Let c be d(-7). Let g be (-1)\/(c\/((-8)\/4)). Let p(b) = -11500001*b**3 + 3*b + 2. Let j be p(g). Round j to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -4*k + 5*j, -5*k - j + 15 = 0. Solve 0 = -k*y - 5*v - 1 - 13, v = y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8236 - 0.09910401.\nAnswer: -8236.09910401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 5*p**2 - 1169*p + 11 + 1165*p + (p - p + 4*p)*(-3*p + 3*p + 2*p).\nAnswer: 7*p**2 - 4*p + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 22*u - 216. Solve 29*i - u*i + 100 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1692*o - 82905. What is x(-49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - -4*(0 + sqrt(700)) - (sqrt(700) + -1)*6) + -3)**2 + -2)*-1*1.\nAnswer: -707 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156813142 is divided by 52271044.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12590, -12548, -12412, -12134, -11666, -10960, -9968, -8642?\n\"Answer: 8*a**3 - a**2 - 11*a - 12586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 77.24015 centuries?\nAnswer: 92688.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 285125*y**2 + 745*y**3 - 2 + 285123*y**2 in the form x*y**2 + c*y**3 + q + a*y and give c.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 2. Let v(i) = 12*i - 33. What is 3*g(c) + v(c)?\nAnswer: 3*c - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2\/(-1 + 29)*-4). Suppose s*t = 15*t - 1120. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + -168. What is the derivative of -389*a**3 - 29 - x + 335*a**3 wrt a?\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = 25. What is the nearest to 1 in -2, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 71*a - 373. Let m be c(5). Which is bigger: -11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*g = -2*g + 4, -2*g = 8. Solve -f = 33*v - 34*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-36 + 7) - (6 - -6) - (-3 - 1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 202100212 (base 3) to base 2\nAnswer: 11100111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -55. Let k be 2*((-6)\/(-15))\/((-4)\/v). Solve 6 = 3*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2578386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17133613933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316 + 318. Suppose 3*u = m - 2*m + 57, v*u = 5*m - 319. Calculate the remainder when m is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117876 + 1202250 = 18*h. What are the prime factors of h?\nAnswer: 3, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110533 (base 7) to base 10\nAnswer: 19477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58128, 116422, 174716, 233010, 291304?\n\"Answer: 58294*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + c**3 + 17 + 15 + 3*c + 2*c - 31 in the form z*c + q*c**3 + g + k*c**2 + t*c**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 9) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {r: 4, e: 4, c: 1, j: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 + 51*x**2 - 27*x - 37. Determine b(-11).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 29*s = -12612. What is the thousands digit of ((-30)\/4)\/(-15)*s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79.1 + 7.1. Let n = -73.46 - w. What is n rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 1 + 25*y + 85*y + 0*y - 5.\nAnswer: 121*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, -13, -60, -137, -250, -405, -608?\n\"Answer: -k**3 - 6*k**2 + 2*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/7 - 25\/14. Let 2 + o*h**2 + 5\/2*h = 0. Calculate h.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.458877 millilitres in litres?\nAnswer: 0.000458877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*k + 189, 3*k = -4*p + 200 + 199. Let v = p + -70. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27227 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -21*l - 3138. Give s(-122).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = 0, -3*g - 3 - 8 = s. Suppose 6*i - i = 110. Calculate the remainder when i is divided by -2 + 0 - 13\/3*g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + -1)) + 4 + sqrt(48) + 2)**2.\nAnswer: 56*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0\/(-3) - -7). Suppose 2 = -3*a - c. Let p(b) = 2*b - b**2 - b + 2*b**2 + 1. Give p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9894b0 (base 13) in base 2?\nAnswer: 1101101100101000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29943 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1088*j + 3 + 5*j - 287*j to the form n + a*j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 141.7. Let m = 2.6 - 2.6. Let j be (936\/(-76))\/3 - -4. Which is the third smallest value? (a) m (b) r (c) j (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 8. Let y be d(10). Suppose 0 = 3*m - 4 + 7. Put y, m, -4 in increasing order.\nAnswer: -4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 8*v + 17. What is the tens digit of n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 13*d**2 + 3*d + 15. Calculate the remainder when h(13) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -451*m + 2553. Is k(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*l + 4*j, -5*l - j = 2*j + 33. Do -6 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 5174698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 4.8. Which is the smallest value? (a) -5 (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 3*q**2 - q. Let a(r) = -7*r**3 - 7*r**2 - 2*r - 1. Let v(n) = 3*a(n) - 5*p(n). What is the lowest common multiple of v(-6) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtt when three letters picked without replacement from {x: 7, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 25*b + 570 = 26*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76993559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:43 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 5, n: 7, v: 4}. What is prob of picking 1 w, 1 n, and 1 v?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from auuuauuauuazu.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*b + 4*b. Suppose -5*y + 114 = 5*d - 321, b*d = 9. Let c = y - 45. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -230. Suppose g*v - 64 = 26*v. Calculate the least common multiple of v and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829416 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 99 = 479. Let y = b + -38. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m - 1. Suppose 4*b = 6 + 2. Let g(n) = -2 - 4*n**3 - n + 6 + 0 - 4*n**2 + 0*n**b. Let h(d) = g(d) + 3*x(d). Determine h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - 9 - 3\/1. Let w(a) = -a**3 + 2*a**2 - 2*a - 3. Let r be w(v). Calculate the highest common divisor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2. Let d be -1 + (0 - -3) + 0. Let b(t) = -2*t**d + t**2 - 4*t**2. What is -3*b(l) - 6*h(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -33, 2 in decreasing order.\nAnswer: 2, -3, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6891 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 - -4) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**8\/8 + g**4\/12 - 18*g. What is the third derivative of y(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -128, 0.\nAnswer: -128, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7225*x - 5 - 2097*x - 2096*x - 3034*x.\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17033\/1646 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.34 - 3.3. Let d = -0.14 + 0.1. Let j = d + a. Which is bigger: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2*a - 3. Suppose -3*o + 0*o = 12. Let h be t(o). Solve -h*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/595 and 179\/1020.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4*g + 62 + 5*g - 3*g to x + d*g and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 560537, 560543, 560549?\n\"Answer: 6*q + 560531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/35*20\/(-8)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4444*g - 703202 = -129926 for g.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16898, -16882, -16856, -16820, -16774, -16718, -16652?\nAnswer: -16576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, 28, 5 in descending order.\nAnswer: 28, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 64 = 3*i + 2*i, 3*d = 3*i - 33. Let r = 23 - i. Let f be 9*((-10)\/75 - (-94)\/30). Calculate the greatest common factor of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*z**4 + 1351*z**3 - 38421*z**2 wrt z.\nAnswer: 192*z + 8106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 2. Let a be w(-3). Let k = a - -6. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 2*v + 1. Suppose 2*u + 0*u = -2. Let l be m(u). Suppose 5*n - l*q - 14 - 9 = 0, 5*n = 4*q + 21. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11830, 11880, 11996, 12178, 12426, 12740, 13120?\n\"Answer: 33*i**2 - 49*i + 11846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 3*k + 64 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 21. Let u be (-12)\/(-66) + 2\/g. Suppose -3*b + 0 + 54 = u. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*z**3 + 3*z**3 - 54*z**3 + 178*z**3.\nAnswer: 248*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -450995?\nAnswer: -450991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8 + 2 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 351 (b) 2\/5 (c) -0.5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxgi when four letters picked without replacement from {i: 1, c: 1, g: 1, o: 1, q: 1, x: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1154 (b) -3\/5 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q - 37. Let k be z(-11). Suppose -32*o = -k*o - 1443. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3 - 35) + 7 - (8 - 12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - d - 2*d)*(3 - 3 + 2) + 8*d + 3 + 0*d + 2*d to the form y*d + w and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/114641488 and -53\/185190096.\nAnswer: 2407471248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 11*w**2 + 18*w + 18. Determine v(12).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*d + 430 = 0, -320 = 3*q - 7*q - 2*d. Suppose -q = -7*o + 5*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*g - 20, -3*g + 4*g + 4*m = 0. Suppose 2*p = -x + 14, -g*p - 3*x = -6*p - 2. Suppose 0 + p = l. What is the remainder when 9 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2150 - -2156. Let j = -4 + 7. Let g = 13 - j. What is the remainder when g is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43103194 and 578.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 7933.13 to the nearest ten.\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 112575968 + 112575968.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(192)*-1)*-6.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 8, p: 5}. What is prob of picking 2 a and 2 f?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 191540*v**2 + 383065*v + 191530.\nAnswer: 5*(v + 1)**2*(v + 38306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 0*t**3 + 3*t**3 + (3 - 5 + 5 + 3 - 1 + 0 + 2 - 3 + 0 + (1 + 2 - 2)*(-3 + 0 + 4))*(t**3 + t - t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 96310, 2, -3 in increasing order.\nAnswer: -3, 2, 4, 9, 96310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-207)\/276)\/(2\/(-56)) - -3. Let q(t) be the second derivative of -1\/6*t**3 + 5\/2*t**2 - c*t + 0. Calculate q(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -24*q**2. Let h(k) = -2 - 298706*k + 3 + 4*k**2 - 1 + 298723*k. Determine h(w(p)).\nAnswer: 2304*p**4 - 408*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-288 - 33*p**2 + 288)*(4*p**2 + 2*p**2 - 4*p**2) to a*p**4 + i*p**3 + z + d*p**2 + o*p and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**7\/105 + r**4\/12 - 15*r**2\/2 + r. Let j(o) be the first derivative of c(o). Find the second derivative of j(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxmmmm. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9715682.\nAnswer: 2, 37, 131293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 166. Let f = -56 - y. Calculate the least common multiple of 9 and f.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82\/3? (a) 247 (b) 9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose -n*w = -b - 0*b + 70, 0 = -b - 3*w + 46. Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66969, -66968, -66967, -66966, -66965, -66964?\n\"Answer: j - 66970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 14) + 5 - (-5 - (-17 + 10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by -1?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1907066222?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1\/4, -0.015?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:23 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -682159*d**2 + 892144*d wrt d.\nAnswer: -1364318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*h - 24 = 0, -34 = -12*l - h + 48. Solve -8 = 5*w - l*w, -w = 3*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.71, -0.19102?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43596 is divided by 7208.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83\/4 - 15\/20. What is the greatest common divisor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 22224*d + 22228.\nAnswer: -4*(d - 5557)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14831*o**2 - 12 + 12 + 2816*o**2.\nAnswer: -12015*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 18085892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - g - 197, 2*g + 111 = 119. Sort 2, -2, 0, y, 1 in increasing order.\nAnswer: -2, 0, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 4556*v + 505*v + 4417*v + 3008*v.\nAnswer: 12446*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/5 and -37\/32695.\nAnswer: 32695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**8\/2520 + z**7\/1260 + 7*z**3\/6 + 10*z. Let c(d) be the second derivative of n(d). Determine f so that c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1163*m**2*o**3*z - m**2*o**2*z - 16*m**2*z + 37*m*o**3*z + 2*m*o**3 + m*o**2*z - o**2 + 210*o*z wrt m?\nAnswer: -2326*o**3*z - 2*o**2*z - 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n + 2. Let m be d(-3). Suppose -v + 3*v + 12 = a, 0 = -3*a + m*v + 44. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643*w**3 - 993*w**2 wrt w.\nAnswer: -3858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**2 - 1\/2*t - 1.\nAnswer: (t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 10\/4)*-2. Suppose 124 = -x + r*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 66. Give g(-8).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-247)\/(-312))\/(2\/(-4)). Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 0.0584?\nAnswer: 7.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - -78) + (1 - 43)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8513 or 34049\/4?\nAnswer: 8513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/242154370 and -7\/1352131.\nAnswer: 2663698070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-780)\/135*(-261)\/(-58).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from jiiiijijjiiiiiij?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 + 44*i**2 - 36*i - 209. Calculate p(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*s**4 - 22*s**2 - 7*s**4 - s**3 - 29*s**4 + (4*s + 2*s - 4*s)*(2*s**3 - s**3 + 0*s**3) to the form m*s + a*s**4 + h + f*s**3 + o*s**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110741\/6 or 21?\nAnswer: -110741\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:41 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 - 87*a**2 - 13*a - 1. Let m(h) = -h**3 - 30*h**2 - 4*h. Let u(d) = 6*g(d) - 17*m(d). Give u(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -267008 < -267008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i + 71. Suppose 0 = -3*g + 2*r - 15, -g + 65*r - 5 = 62*r. What are the prime factors of a(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -137\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 32. Let x be c(-15). Solve -2*n - x*t - 9 = n, 4*n + 3*t = -11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 + 40*v**4 + 65*v**3 - 110*v**2 - 340*v - 200 = 0.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4\/24*(-4020)\/(-110).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:54 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)*d**(-1\/12)*d**(2\/9)\/d**(-7) assuming d is positive.\nAnswer: d**(253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 4*s**3 - 4*s**3 - s**2 - 2*s**3 + s**2 + (-s + s + s)*(4*s**2 + 2*s**2 - 5*s**2) + s - s**3 - s - 51*s + 2*s**3 + 30*s - 3*s**3.\nAnswer: -2*s**3 - 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/19183, 1, 0.2, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4246)\/(-1544) + (-235)\/112 + (-1)\/(-16).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 9*u**2 - 10*u + 12. Let s be c(-10). Suppose -l = f - 2*f - 1, s = -3*f. Let r(d) = -14*d - 11. What are the prime factors of r(l)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020 = -24*g - 732 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*x**2 - 142*x**2 - 152*x**2 + 19*x**3 - 139*x**2.\nAnswer: 19*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.05 (b) 1 (c) 13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-56))\/((-100)\/(-300)*54\/(-688))?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/2, 1, 2\/7, 4, -0.3 in increasing order.\nAnswer: -7\/2, -0.3, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + 17\/51*-33. Suppose -n = n. What are the prime factors of (q + n)*((-8)\/8 - 75)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from lrlrxxllxllxlxnrxll?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 8, g: 2, q: 3}. What is prob of sequence qg?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lly when three letters picked without replacement from {l: 3, r: 6, y: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.8153 millennia in years?\nAnswer: 273815.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21224 (base 5) to base 16.\nAnswer: -59f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*w**2 + 1383*i**3*w + i**3 - 4*i**2 + 3*i*w**2 - 2*i*w - 260*w**2 - 7*w wrt i.\nAnswer: 12*i*w**2 + 8298*i*w + 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.85 + 3. Let x = 0.05 + p. Put 2, x, 3 in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104494631 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*m + 14 = -229*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -11. Calculate the least common multiple of 4 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**20))\/u**(1\/21)*(u\/(((u*u*u\/(u**(-16)\/u))\/u)\/u)*u)\/((u\/(u\/(((u*u**(-2)*u)\/u)\/u)))\/u) assuming u is positive.\nAnswer: u**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77571 and 91.\nAnswer: 542997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2322533189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-51)\/(-10))\/((-18)\/15). Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*y - 3044 = 0, -10*n + 3813 = -5*n + y. Let b = -431 + n. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -157, -153, -153?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 89\/4. What is the common denominator of x and -51\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3*v - 1. Give t(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10712 and 19\/7622.\nAnswer: 396344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.999528 + 50. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - f + 1389 = 0, 3*f + 2949 - 879 = 3*w. Suppose -8*i = -2189 + w. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 2\/3, 3\/2, 3, 5, 7, -115 in ascending order.\nAnswer: -115, 2\/3, 3\/2, 3, 5, 7, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggxr when four letters picked without replacement from {g: 2, x: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4358211 - -1191789. Round k to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 4 + 2 + 4*n)*(90*n - 208*n + 93*n) to the form a*n + q + t*n**2 and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6101, -6102, -6103, -6104?\nAnswer: -6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 815037510 and 1.\nAnswer: 815037511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*x**2 + 78*g**2*x + 4*g**2 + 69461*g*x**5 + 85*g*x wrt x?\nAnswer: -4*g**2 + 1389220*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 9. Let m be v(-6). Suppose 2*s + m*s - 32 = -3*p, -24 = -s - 5*p. Suppose s*f - 7 = -3. Solve 2*y = y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -444116 + 5?\nAnswer: -444111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0085535 millilitres to litres.\nAnswer: 0.0000085535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 2*j - 12. Let s be z(-5). Solve -2*o - s*u + 4 = -0*u, 2*o + 5*u = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f. Let g(l) = -3*l + 38*l**2 + 3*l - 43*l**2. What is h(g(w))?\nAnswer: -55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-5)\/(-25))\/(-4*(-4)\/100).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461 or -1462?\nAnswer: -1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 11. Let r = y + -45. Is -4 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 13*a + 100 = 0. Let f be ((-2)\/3)\/((-2)\/12). Suppose 0 = 2*n + 3*h - a, -27 = -n - f*n + 4*h. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-28574)\/126 - -1. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let f(b) = -28 + 17 + 11 - 2*b. What is t(f(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -253. Suppose -4*k = -4*j + y, 0*j - 4 = -2*j. Is 1564 + -1 - (-26 - k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 3*q - 2. Let m be x(1). Let w(z) = 16*z**2 + 3*z - 28. Let p be w(m). What is the greatest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*x - 2 = -4*k, -2*x - 12 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -8*g + 125, -6393*k + 6398*k - 4*g = -75 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 2*a - 210 = 0, -2*x - 5*a + 203 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:59 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381 minus 0.3?\nAnswer: 3380.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -132.9, 0.058, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.058, -0.4, -132.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 262. Let i be p(16). Calculate the greatest common factor of i and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436697 - 1?\nAnswer: -436698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/((x*x**(-1\/6))\/x))*x*x)**7)**(1\/2) assuming x is positive.\nAnswer: x**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k + 2*k - 4*q, 0 = -q + 4. Suppose s - k = x - s, -s + 1 = -x. Solve 8 = -4*a + x*f, 0 = -a + 4*f - 0 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8207 - 6417877\/782. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {e: 2, c: 1, d: 3, y: 2, j: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30441691 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234 + 124 - (-14 - 38)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2993952*w**4 + 3*w**3 + 14*w - 1813310?\nAnswer: 35927424*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w + 108 = -25*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 36. Suppose -4*b - b + w = 0. Let t(r) = -r**2 + 9*r - 7. Does 11 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 + m**2 - 2*m + 4. What is a(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 9 + 3. Suppose 212 = -o*h + 7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11737 times -6\nAnswer: -0.70422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -3*i - 3*s + 65 + 91, 2*i - 10*s + 15 = -6*s - 9*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-35 + (63 - 18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61.79618l?\nAnswer: 61796.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (3 - (3 + 366)). Suppose -4*d + 1631 = 3*d. Let w = y - d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56903248 and 66108.\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, -1809201, -2\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255797028 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + -406. Let m be 23976\/(-15) - (-6)\/15. Let s = z - m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 56258?\nAnswer: 11251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 - 17982*r**2 + 360783*r - 342798 = 0?\nAnswer: -6014, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 693 - 668. Suppose 8 = -7*w + 11*w. Solve -12 = 3*q + w*y, 5*q - 5 + b = -4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -417, -423, -431, -441?\n\"Answer: -h**2 - 3*h - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(17\/4))**11*s**(2\/57)*s**(4\/21) assuming s is positive.\nAnswer: s**(24991\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6519 is divided by 6279.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/6)\/(45\/(-1080)). What is the greatest common factor of v and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from xkkwqxk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 37*f - 228. Is g(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/150 - 1\/(-45). Let w = 4.08 + -4. Let s = 1.08 - w. Which is the closest to -5? (a) -3 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -625, -1058, -1663?\nAnswer: -2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 26*b**4 + 85*b**3 + 58*b**2.\nAnswer: -b**2*(b - 29)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most as big as 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 8*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -52*k. Let g(o) = -2985*o - 341. Calculate g(r(t)).\nAnswer: 155220*t - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*f = 78 + 4, 4*f + 56 = -2*a. Sort a, 1\/5, 3\/4, -15 in increasing order.\nAnswer: a, -15, 1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -42*o**5\/5 + 19*o**4 - 2*o**3\/3 - 28*o**2 + 24*o + 235. Determine i so that u(i) = 0.\nAnswer: -6\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) 2 (c) 12.03 (d) 0.79 (e) -2\/5 (f) -3\/5 (g) -31\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 280.6 + -258. Let m = 6.9 + w. Let p = m - 10.5. Is 0.1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639, -6646, -14997, -26698, -41755, -60174, -81961?\nAnswer: -107122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (5 + -2 - 5). Suppose 68 = 7*d - 3*d. Let t = d - z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 - 3*r. Let u(c) = c**2 - c. Let m be (-4)\/30 + 9\/(270\/184). Let n(z) = 2*z**2 + 3*z - 9. Let o be n(m). Let x = 80 - o. Give x*l(w) + 3*u(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3713*d**2 - 3715*d**2 + 7 + 10*d - d + 8*d**3 - 7 in the form x*d**2 + z*d**3 + s*d + h and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -824*x + 5772. Let m be j(7). Solve 81*o = 85*o + m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:12 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002167869 to 7 dps.\nAnswer: 0.0002168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255108, -1020349, -2295764, -4081359, -6377140?\nAnswer: -9183113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12\/7, -0.3668 in decreasing order.\nAnswer: -0.3668, -1, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420957 is divided by 12381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13432 is divided by 3357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**5*j - 283*h**4*j**3 - 2*h**2*j**2 + 466*j**3 wrt h?\nAnswer: 240*h**2*j - 6792*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dllrlde. Give prob of sequence ldll.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108360773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11 + 4 - 2 - 3*z + 0*z. Let v = 4788 + -4793. Give m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -23, -34?\n\"Answer: -11*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2747*z + 2356928. Calculate d(858).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 10*j - 10. Let s(i) = i**2 + 21*i + 58. Let l be s(-17). Give b(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n - 5*n + n + 10*n + 8*n - 14. Calculate x(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132042 - 0?\nAnswer: 132042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(4\/15)*o*o**(2\/3))**(-2\/51))**(-32))**(-9) assuming o is positive.\nAnswer: o**(-2304\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3583904)\/(-40))\/(36\/90) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 55757.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -190 + 200. Let k be (-2)\/1 + 6\/2. What is the greatest common divisor of k and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/145 - 26\/(-10). Let y(n) be the second derivative of n**3 - 14*n + 0 + 0*n**j - 3\/2*n**4. Find the second derivative of y(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 12*u + 11. Let d(q) = q**2 - 2*q - 1. Give -4*d(v) - j(v).\nAnswer: -v**2 - 4*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -12*c - 44. Is 25 a factor of g(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 71. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from {q: 3, z: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) 26 (c) -40\/3 (d) 158 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 16 = -58 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m**3 - 1. Let d be q(1). Let v(x) = -4*x + 68. Let h be v(16). Let b be 128\/21 + h\/(-42). What is the highest common factor of b and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/5 - 320*t**2 + 269278*t\/5 - 53536 = 0 for t.\nAnswer: 1, 239, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 2:32 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2864 and 0.1?\nAnswer: 2863.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + j)*(2*j + 50*j**2 - 2*j).\nAnswer: -150*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 9. Let h be p(-6). Let o = -10 + 43. Let q = 38 - o. Which is the third biggest value? (a) h (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(-2\/25)*(x**1\/x)**(-13))**(-3\/28) assuming x is positive.\nAnswer: x**(-1\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134394.\nAnswer: 2, 3, 13, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v + 2*z - 4*z, 31*z = 4*v - 244 + 159 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -21, 6.\nAnswer: -21, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 34.6. Let j = 7.6 + i. Round j to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i. Determine y(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -9, -4, -47 in descending order.\nAnswer: 5, -3, -4, -5, -9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + (sqrt(99) - 1*sqrt(99)) + sqrt(99))*2)\/sqrt(9).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(209)\/(sqrt(22)\/sqrt(2)).\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -5. Let h = p - -4. Is -2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (0 + -11 - -16 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:29 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1990, 2641, 3296, 3955, 4618?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**4 + 20*o**2 - 3*o**2 - o**2 wrt o?\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 873*f**2 - 3*f + 5. Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -457*j**7\/35 + 5575*j**3\/6 + 793*j**2. What is the derivative of z(g) wrt g?\nAnswer: -10968*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -122*k + 6. Let a be s(3). Suppose -2*t + 4*v - 8 = 0, t + 4 = -0*t + 4*v. Calculate the common denominator of t\/18 - 1898\/a and -43\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of ((-3)\/(-1) + -87)\/(1969\/198 + -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. Let t(h) = h**3. Let b(a) = 3*a**2 - a - 3. Let y(d) = c*t(d) - b(d). What are the prime factors of y(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 i, and 1 y when four letters picked without replacement from {e: 2, j: 1, i: 2, y: 1, x: 4, u: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 706.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1428?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9 - 3*w**3 - w**2 + 7 + 5*w**3 - w**3. Let m be b(0). Let h be (5 - 4 - m) + 13. What is the highest common divisor of h and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:27 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, 61, 3 in ascending order.\nAnswer: -359, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x**2 + 3*x + 99. Let l(f) = 26*f**2 + 5*f + 165. Let b(r) = 5*g(r) - 3*l(r). Let s(p) = 229*p**2. Give s(b(i)).\nAnswer: 38701*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -633*b**4 + 884*b**2 wrt b.\nAnswer: -15192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 712\/91 + -102\/13. Sort -3, 1, h, -5 in ascending order.\nAnswer: -5, -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 15*m + 13. Let q(t) = t - 6. Let c be q(0). Let h(w) = -w**2 - 3*w + 5. Let v be h(c). Let j(z) = z**2 - 7*z - 6. Give v*j(d) - 6*u(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f - 7. Give b(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.05, 0.3, -0.2, 0.\nAnswer: -0.2, 0, 0.05, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4473, 8881, 13285, 17685, 22081?\n\"Answer: -2*r**2 + 4414*r + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**3 + g**2 + 3*g + 2. Let n be z(-1). Suppose r - 5*y - n = 0, 3*r - 4*y = r + 36. Let o = 62 - r. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 1, i: 1}. What is prob of sequence ibb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = y, 3*y + 5*s = 10 + 4. Solve -3*n - y = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 6. Let v be h(-2). Solve v*y - 5 = y, 5*y = -4*t - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*h - 3462 = -5*t + 196*h, t - 3*h - 696 = 0. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47815.\nAnswer: 5, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70208 = 2*p + 2*p. Suppose 0 = -4*r - 3*d - p, 0 = -r - r + d - 8766. Let f = -26239\/6 - r. What is the common denominator of -61\/16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*b + 1146*b + 3*b**2 + 32 - 573*b.\nAnswer: 3*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.189 - 0.18. What is d rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 g when four letters picked without replacement from {z: 5, g: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 15*j + 57. Let x be o(14). Suppose -5*m - 12 - x = 0. Is m at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + 2*x)*(6*x + 2 - 19*x + 24*x) + 1 - 4*x**2 - 1 + (3*x - 2*x - 2*x)*(-2*x - 1 + 1) + 0*x**2 + 4*x**2 - 3*x**2 + 2*x**2 + 3 - 3.\nAnswer: 34*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22529 - 1075462946?\nAnswer: -1075440417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 431 - -3?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -4 + -6*(sqrt(1539) + 0))**2.\nAnswer: 108*sqrt(19) + 55409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122409695 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 138*v - 712. What is the lowest common multiple of 816 and b(-63)?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 2*l**2 + 1 - 2*l**2 + 2*l**2 - 6*l. Let o be n(2). Solve -2*f - 4 = -4*q, o*q - 4 = -1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.13 and -1731.\nAnswer: -1705.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.069 + -0.131. Which is the closest to 0? (a) 3 (b) -1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -210\/16789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 814.1 - 814. Which is the smallest value? (a) 0.3 (b) p (c) 2\/3 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7519428 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.2. Let v = k - 0.7. Which is the closest to -2? (a) -2\/7 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 - 56. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/(-35))\/((-6)\/21) and -101\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f + 20*f - 106 - 194 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.09 (b) -46 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*(-224)\/(-364))\/(9\/72)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*k**2 - 224*k + 224*k)*(-2 - 3 + 1)*(-2 + 3 - 4) to s*k**2 + a*k + w and give s.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 6. Let k(x) = -x + 9. Let o(m) be the first derivative of m**2\/2 - 2*m - 12. Let i(z) = k(z) + 4*o(z). What is i(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 13365*y + 498612.\nAnswer: -3*(y - 4492)*(y + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 + 10*s**2 + 11*s + 10. Let t(w) = w**3 - 2*w**2 - 2*w - 2. What is 11*t(o) + 2*u(o)?\nAnswer: o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:36 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 142*r + 145*r - 11 = 0, -4*x = 4*r - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 + 267. Let j = -18 + 21. Suppose -5*l + 490 = j*s - s, 2*l - 2*s = 210. Calculate the highest common factor of l and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.606 and -0.01399.\nAnswer: 6.59201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -28. Let a = j + -43.81. Let d = 0.189994 - a. What is d rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 115843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110111 (base 3) to base 6\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 58325*y**3 + 11*y**2 - 29449*y. Let p(x) = -72906*x**3 - 14*x**2 + 36810*x. Let n(o) = 14*i(o) + 11*p(o). Find the second derivative of n(f) wrt f.\nAnswer: 87504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 + 580*m - 84100 = 0. Calculate m.\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110020102 (base 3) in base 10?\nAnswer: -8921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let u be (-2)\/1*(-36)\/24. Let n be (-5 - -5) + -1 + u. Let m(h) = -n*h**2 - 2*h**2 - 4*h**2 + 5*h**2. What is m(b(s))?\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 122. Which is the third smallest value? (a) 1\/3 (b) k (c) -0.02 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 291, 600, 909, 1218?\n\"Answer: 309*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) 0.1 (c) 3 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y - 2. Let b(q) = -6*q. Let p(x) = 11*x. Let a(u) = -5*b(u) - 3*p(u). What is j(a(g))?\nAnswer: 48*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y + 9 = -122*y + a, 2*a - 2 = 0. What is the closest to -2 in y, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, 1\/3, 224?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9826*g + 1895462 = 200*g + 3821*g + 2927*g for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 2*p + 304. Let c = p + 55. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/624 + 1223\/3120. Factor 2*p**3 - 8\/5*p**2 + 0 - j*p.\nAnswer: 2*p*(p - 1)*(5*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -6. Suppose j = 4*u - u + 15, -2*u - 34 = -2*j. What is the greatest common factor of j and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/38 greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -12*q - 3. Suppose 0 = -v + 5*t - 0 - q, 7 = 4*v - t. Solve -v*d + 4*d - 5*m = -25, 0 = -3*d - 3*m + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**6 - 107*z**4 - 963*z**2.\nAnswer: 360*z**3 - 2568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a44496 + -2?\nAnswer: 1a44494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from kiibiiiii?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131, -149, -179, -221?\n\"Answer: -6*v**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -0*h. Suppose -h*l = 2*y - 4, 4 + 6 = 5*l + 4*y. Suppose 2*j - 29 = -o, 0*j = -5*o + l*j + 121. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1052 + 1052.0000442. What is g rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - z + 207, 0*x - 93 = -2*x + 3*z. Suppose -4*c + 122 - x = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - -6) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in 0.05, -9, 2, 13, 128?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1da + -13cc8?\nAnswer: -13eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-1)\/3)\/((-184)\/(-6)*6\/24))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*d + t - 14, 0 = t. Do d and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 103*b**2 - 311*b + 816. Determine w(-106).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 4\/1 - 4. Suppose 0 = p*y + 4*y - 16. Find z, given that -6 + 2*z + 100\/3*z**y + 2*z**5 + 46\/3*z**4 + 116\/3*z**3 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 24 + (32 - 57)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/66*18\/30. Let l(b) be the third derivative of -1\/120*b**6 - 1\/6*b**4 + 0 + z*b**3 + 1\/10*b**5 - 2*b**2 + 0*b. Determine l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 4*r, 24 = 3*a + r - 26. Calculate the least common multiple of a and 57.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 37*g + 9. What is k(-12)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 3. Let i(c) = -9*c + 10. Calculate 4*i(t) - 14*s(t).\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*h - 652*h + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 35 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81360292?\nAnswer: 2, 13, 23, 59, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:26 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (342\/(-133))\/((-6)\/28). Let b = -4 + o. Find the common denominator of (-279)\/18*6\/b and 97\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31937 or -446?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460694 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 37*f + 311. Calculate z(7).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 14230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i + 0*i)*(-i - 1 + 1)*(1 - 2 - 1).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 4*x + x)*(-852 - 71*x**2 + 852) + 15*x**3 + 7*x**3 - 13*x**3 to the form g + a*x + d*x**3 + y*x**2 and give d.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v\/((v**(-8)\/v*v)\/v)))\/((v\/v**(-3))\/(v**(-7)*v)) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 e, and 1 x when four letters picked without replacement from boebbeoxbreeo?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 84354436?\nAnswer: -3\/42177218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**3 + 3*d**3 - d**3)*(-4 - 3*d + 4) + 1234 - 31*d**4 - 1234 as h*d**3 + k*d**4 + j + z*d**2 + v*d and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5)**(-2\/5))**41 assuming d is positive.\nAnswer: d**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*m**2 - 2*m - 123 wrt m?\nAnswer: -210*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*55\/(-45))\/(8\/24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143 - 211694996489\nAnswer: -211694996346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 3820740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 4. Let m be c(-6). Let t = m + -6. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170, -303, -426, -533, -618, -675, -698?\n\"Answer: j**3 - j**2 - 137*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n - 40. What is the lowest common multiple of z(11) and (-20)\/(-3)*(8 + -5)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007486819189 to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3 + -2 + (-28)\/14. Factor 2\/3*h**4 + 0*h**3 + 0 + u*h + 0*h**2.\nAnswer: 2*h**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4051.7 + 4051.72. What is the closest to -1\/4 in 2\/9, -0.012, q, 0.06?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857544 is divided by 50413.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.2 - 125.9. What is the second biggest value in -60\/7, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvmsvvmmvvvvvsvv. What is prob of sequence vsvv?\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/437*57\/(-6) - (-138)\/4. Solve 0 = 24*r - t + 131 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1a47554?\nAnswer: -1a47559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6502 is divided by 3095?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/12 - 11*m**3\/6 - 19*m**2. Let l(j) = 3*j - 16. Calculate 5*l(f) - 7*w(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = -2*g - 87*q + 90*q, 5*g + 4*q - 1788 = 0. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 2822096*y + 497764114576 = 0. Calculate y.\nAnswer: -352762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.2319\nAnswer: 0.4638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuuuuuuuuju?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011105 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1838624 divided by 459656\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10186 + 8265 - 5593 - 24709 = 467*r for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)*b\/(b\/b**(-3\/2)*b)*b**7*b**(-1\/8) assuming b is positive.\nAnswer: b**(113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50651*j**4 - 241905 wrt j?\nAnswer: -202604*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49466348 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/605650 and -27\/12670198?\nAnswer: 316754950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268*q + 3822 = 1281*q. Calculate the greatest common factor of q and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4502495, 4502466, 4502437, 4502408?\n\"Answer: -29*x + 4502524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -20. Let q(t) = 2*t - 2. Calculate the remainder when -10 - 2*(-5 + -31) is divided by q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcncqccnkkcnckkn. Give prob of sequence ncqc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76316627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 370215*s**3 - 180*s**2 + 4*s + 4?\nAnswer: 60*s**2 + 2221290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.047 - 0.947. What is the nearest to r in -2, -5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174924\/41 or -4266?\nAnswer: -4266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -15610.\nAnswer: -343420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l = 77*l - 1296 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 16*k = 0. Suppose 3*p + 4*w - 7 - 19 = k, 3*w + 3 = 0. Suppose p*l - 4*l = 48. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -3f5cc?\nAnswer: 3f5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcvgeevecgvcfcvvcge. Give prob of sequence egc.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17116, -17613, -18110, -18607?\n\"Answer: -497*z - 16619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2*w + w - w)*(1 - 1 - 1)*(1 - 1 + 3*w)*(1 + 3 - 1)*(-2 - 1 + 7).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11221 + 0?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 13.18. Let g = 12 + o. What is the nearest to -1 in g, 4, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 708 - 699. Suppose -8*n + 12 = -l*n + 5*m, 0 = -5*n + 5*m. Suppose -3*d - d = -92. Calculate the remainder when d is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z = -64*z. Let u(v) = v - 9. What is u(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.119 - 0.881. Put 171, 0.2, p in ascending order.\nAnswer: p, 0.2, 171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 69*w**2 - 67*w - 238. What is k(70)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:27 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.02, 5, 4, -2\/19 in increasing order.\nAnswer: -0.4, -2\/19, -0.02, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18603 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*r + 18852 - 6683 = 0 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -886436096466?\nAnswer: -886436096460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 11*u**2 + 36*u**3 + 24*u**3.\nAnswer: 60*u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 6. Let b be m(6). Suppose 2*u + 4 = b*u. Let o = -1\/14 - 11\/42. Sort 2\/13, o, u.\nAnswer: o, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfdyytdgdg. What is prob of sequence fgtd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -407*l**9\/504 - 39*l**5\/10 + 209*l**2. What is the third derivative of k(a) wrt a?\nAnswer: -48840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -61, -61, -51, -25?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/978 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2859570 and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxgxxxxxggxxgxxxx. What is prob of picking 2 x and 1 g?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 3*o + 2. Let f(g) be the second derivative of -2\/3*g**3 + 3\/2*g**2 + 0 - 1\/12*g**4 - 7*g. Calculate -4*f(h) + 6*z(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17451\/19370 or 0?\nAnswer: 17451\/19370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (3 + sqrt(208))**2 + -2.\nAnswer: 24*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgss when four letters picked without replacement from ssssgssgsssss?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027387743 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2385, -4754, -7123, -9492?\nAnswer: -11861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 861293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -11*z**9\/72 + 41*z**5\/60 + 15*z**2 + 2. What is the third derivative of y(f) wrt f?\nAnswer: -9240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/(-12)*218). Let u = i - -204\/763. Which is the closest to 1? (a) 1\/3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -0. Let c = j + -4. Let s = 99796 + -99794. Solve 0 = s*x + 8 - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + 100.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -198*c - 31 + 63 + 681*c - 34. Let v(a) = a. What is x(v(g))?\nAnswer: 483*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k + 2*k**5 + (2*k**4 - 2*k**4 + k**4)*(10*k + 6*k - 8*k) - 5*k**5 + 2*k**5 + 4*k**5.\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4412314 (base 6) to base 3\nAnswer: 102011012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 10*v**2 - 36*v - 7. List the prime factors of q(-8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 957 + -956.9. Put t, 5, -186, 2 in descending order.\nAnswer: 5, 2, t, -186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -5)\/(4\/18). Let m = k + 11. Let y(a) = 3*a**3 - 2*a**2 + 4*a - 1. Let g(s) = 4*s**3 - 3*s**2 + 5*s. Let b(h) = -2*g(h) + 3*y(h). Determine b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 4*g**2 + 0*g**2)*(-27*g**3 - 9*g + 3*g**2 + 43*g**3 - 12*g**3).\nAnswer: -4*g**5 - 3*g**4 + 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 - 21 + 142 + z**2 + (-36*z + 36*z - 8*z**2)*(0 - 2 + 3) to the form u*z + p*z**2 + l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*i - 572*i - 43*i - 89*i)*(0 - 2 + 12).\nAnswer: -7550*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 35. Let b = -16 + 29. What is the remainder when v is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/35 - 61*f**4\/28 + 80*f**3\/3 - 250*f**2\/7 + 9382. Find g such that j(g) = 0.\nAnswer: 0, 1, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 2531880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6078 is divided by 2003.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -5*-1*sqrt(12) - sqrt(12)) + (4*sqrt(9)*-2)\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:35 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 345.2 + -345. Let f = -10 - -9.9. Which is the closest to f? (a) o (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*q + q - 5, 0 = 4*p - 4*q - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(7) + -5)**2.\nAnswer: -16*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**2 + 72890*g - 218715 = 0.\nAnswer: -14581, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736) + sqrt(2736) + 4 - (sqrt(2736) + -4*sqrt(2736) + -4))**2.\nAnswer: 960*sqrt(19) + 68464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3689 * -317.\nAnswer: 1169413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 394893121 and -0.5.\nAnswer: -197446560.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 divided by -3?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -1\/20*o**5 + 3*o - 1\/12*o**4 - 1\/3*o**3 - 3\/2*o**2 + 0. What is the least common multiple of z(-2) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 981 - -4?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - z + 18*z)*(-z + 4*z - 2*z).\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:26 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 22 + (-16 + 19 - 1) + -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179300 and 3850.\nAnswer: 1255100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -8*y - 1. Let d = 0 + 7. Solve -5*l + d - y = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1183 less than -1181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*w + 11056, -11786 - 10290 = -2*r - 2*w. What is the highest common factor of 44 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:24 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227202.\nAnswer: 2, 3, 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 76.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/4*176\/33. Let i = p - 34. Let z = -17 + i. Solve -z*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 3*v + 18. Let b be d(-6). Suppose b = -2*h - 2*h - 12, -h - 69 = -g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159318 and 21465?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 - 113*u - 181. Let z be f(-36). Sort 109, 1, z in descending order.\nAnswer: 109, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819290809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2197 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -20) + -17 - 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*c**2 - 495 + 495.\nAnswer: -101*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 5. Let x(i) = 2*i + a*i**2 - 2*i**2 + 3*i - 4*i**2 + 5 - i**3. Let h be x(-4). Is 17 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5246 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 89\/3. Let c = -53142.96 - -53143. Sort c, 4, -0.2, w in increasing order.\nAnswer: -0.2, c, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134131 (base 6) to base 15.\nAnswer: 3add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = h + 136, 4*d + 0*d + 3*h - 105 = 0. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20962149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 830300 and 9250.\nAnswer: 153605500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2576 + -201028060023.\nAnswer: -201028062599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15da13 (base 14) in base 8?\nAnswer: -2733101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*w - 11*w. Suppose f - 5*i + 12 = 0, -w*f + 4*i = 2*i. Differentiate -12*m**f + 1 + m**3 + 3*m**3 with respect to m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9899 (base 16) in base 2?\nAnswer: 1001100010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3\/3 - 0. What is the smallest common multiple of (11 - 5)*(-1)\/i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 99*n = 45*n + 82586. Calculate the smallest common multiple of n and 70.\nAnswer: 24290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -577.605 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f. Let s(c) be the second derivative of 5\/12*c**4 + 4*c - 7\/6*c**3 + 0 - 1\/10*c**5 + 0*c**2. What is -6*q(m) - s(m)?\nAnswer: 2*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 12197*r**2 - 1648816*r\/3 + 2393552.\nAnswer: (r - 36636)*(r - 4)*(r + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 3. Let q = -23 + d. What is the least common multiple of q and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 2729868*j + 931522412178.\nAnswer: 2*(j + 682467)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34815312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4106*t + 1. Let w be b(-1). Let j = -4292 - w. Let f be (-1)\/4 - j\/(-4). What is f rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9425754.\nAnswer: 2, 3, 13, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.629 - 18.39821. What is u rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - n + 93 = 0, 3*k - 17 - 103 = 5*n. Let q(t) = 10*t**2 + t. Let p be q(-1). Calculate the greatest common divisor of k and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.164 - 20.264. Which is the nearest to 0.1? (a) o (b) -7 (c) -1\/4 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2444*m + 9804. Let z be p(-4). Solve -46 = 3*v - 2*j - z, -15 = 3*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -915*t**2 - t - 2*t**4 + 926*t**2 - 21*t**4 + 2*t**3 to k + j*t**3 + y*t + p*t**4 + m*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 389*i**2 + 14. Let f(r) = 266*r**2 + 10. Let u(w) = -5*c(w) + 7*f(w). Let b(d) = -27*d**2. Give u(b(y)).\nAnswer: -60507*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + (-1 - 9) - -53) + (-22 + 20 - 3).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2271*b - 418. What are the prime factors of d(2)?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 15*p**2 + 16*p + 4. Let b be q(16). Let d(l) = -224*l - b + 14 - 4*l**2 + 3*l**2 + 218*l. Give d(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/84)\/((-170)\/(-306))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 14}. What is prob of sequence do?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 4*i, -16*i = -11*i. Is 41 a factor of ((-8805)\/(-6))\/s + (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48\/7 - 185\/28. Let b = 1.75 - 1.25. What is the closest to t in b, 4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 5*j. Let r(h) = -h + 7. Let z be r(3). What is m(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/165*(65\/28 + -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021 + -115.801866.\nAnswer: -115.780866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (156\/(-20))\/((-9)\/30) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138318 + 138317. Let f = -0.1 - -0.2. What is the nearest to m in -4\/9, -4, f?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/32 + 6\/2. Let s be 2\/(-6)*(-12)\/64. Let c = s + l. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.07. Let d = s - -4.17. Let p = d + -4.142. Round p to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6\/((q\/(q\/(q*q**(-4\/11))))\/q*q) assuming q is positive.\nAnswer: q**(59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 14 = 63*v - 3*x - 4*x, -249 = -2*v + 7*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 166541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0 - 5*q**2 + 2 - 3*q**3 - 11 + 5*q. Let x(m) = 14 - m**3 + 8*m**2 + 4*m**3 + 0*m**2 + 2*m**3 - 8*m. What is -8*i(f) - 5*x(f)?\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(9)\/sqrt(3)) + -5)**2 - (sqrt(11) - (sqrt(396) - (sqrt(396) + 1))**2 - (sqrt(11) + -2 + -5)).\nAnswer: -10*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 121 - 2 - (2 + -3). Let x = -48 + j. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038023087 - 0.036?\nAnswer: 0.002023087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(55)\/(6*sqrt(30)\/sqrt(6)))**2 + ((-2*sqrt(308)*-6)\/sqrt(7))**2.\nAnswer: 228287\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -18, -2\/7, -14, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/4 - 17*t**4\/2 - 27*t**3 - 55*t**2\/2 - 37*t\/4 = 0 for t.\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:29 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 153231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 3}. Give prob of picking 2 a and 1 c.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 9*x - 3. What is i(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -48018.03 to the nearest one hundred.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3013331?\nAnswer: 3013322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - f**2)*(f**2 - 2*f**2 + 0*f**2) + 2*f**4 - f**3 + f**3 + 2699 - 113*f**4 - 2699.\nAnswer: -110*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.2 + 47. Let b = 46 + x. Let h = 39 - b. What is h rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(612)))**2 + sqrt(612)*1*-6.\nAnswer: 348*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-1\/37))**(-32)*((r**(1\/4))**6)**6 assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1) + (7 - 2). Suppose -4*k - f = 2*h - 24, 49 = 4*h + 3*k. Suppose h*g = 8*g. Solve 0 = o - 5 - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*d - 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 348 = -4*l. Suppose -20*v + 14 = 74. Let f be (-12)\/(-54)*l - 2\/v. Solve 3*b + f = -4*n, -n - b = -3*b + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.194 smaller than 0.003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by (-32)\/3120*-15 - 10756\/(-52)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8*b**4 + 2246*b**3 + 83646*b**2 - 198524*b + 44368 = 0.\nAnswer: -236, -47, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 2, u: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3554 = -4*m + 5*k - 243, -2*m + 3*k + 1657 = 0. What are the prime factors of m?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8)\/(2\/20). Suppose -t*p + 21 = -4. Is 4 a factor of (p - 1) + 24 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n)*(-50 - 9285*n**2 - 9282*n**2 - 4*n + 18565*n**2).\nAnswer: -4*n**3 - 8*n**2 - 100*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2526787, 10109220, 22746609, 40438954, 63186255, 90988512, 123845725?\n\"Answer: 2527478*l**2 - l - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31367072 is divided by 3605?\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -34265004.81351?\nAnswer: 34265004.31351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, q: 3, b: 3}. Give prob of sequence rrb.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283.07 times -4?\nAnswer: -37132.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + -32.3. Let v = -30.0066 - u. What is v rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10140 + -9971. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001533873 to seven dps.\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:40 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 3970108*q + 3940439382916.\nAnswer: (q + 1985054)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1005546, -1005543, -1005540, -1005537, -1005534, -1005531?\n\"Answer: 3*j - 1005549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 2056227*n\/4 - 2056221\/2.\nAnswer: -3*(n - 685407)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2590 and 11 + 373\/4 + 33\/44.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 5*k + 3. Determine o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6381, -12760, -19139, -25518?\n\"Answer: -6379*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -61*v**5\/20 - 2*v**3\/3 + 39*v - 1. What is the second derivative of y(x) wrt x?\nAnswer: -366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 3 + 3 + -7. Let s be (16\/20)\/(c\/(240\/(-4))). What is the highest common factor of 20 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 328?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((b*b**5*b)\/b)\/b)\/((b**(1\/2)\/b)\/b*b))\/(b**(-6)\/(b*b\/(b*b*b\/(b*(((b*b*b*b\/b**(-3)*b)\/b*b)\/b)\/b)*b))))**(-4\/13))**(-40) assuming b is positive.\nAnswer: b**(2640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = -4*c + 5*c. Let k(b) be the first derivative of 3 - 1\/4*b**4 + 13*b - 1\/2*b**2 + 0*b**3. Determine k(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 2*d**2 + 3*d + 1. Let o be c(5). Let n = o + -43. Suppose -4*t = 5*f - 639, -f + n + 48 = 2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -5 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 512, 1845, 4030, 7073, 10980, 15757?\n\"Answer: c**3 + 420*c**2 + 66*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 4*o - 9 + 5 + 2. Let l(i) = -4*i + 3. Give -3*l(s) - 5*n(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*m = -12, 0 = -2*u - 0*u - 4*m + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-1))\/3)\/((-16)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1106*a**2*p*u + 2*a**2*p + 3872*a**2 + 281251*a*p*u + 82*a - 3*p + 1 with respect to u.\nAnswer: 1106*a**2*p + 281251*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/247, 248, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 6 - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 = 45*g + 24*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18694026 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -6*s. Let z(v) be the second derivative of 0 - 1\/15*v**6 - 2\/3*v**3 + 0*v**2 + s*v**5 + 1\/2*v**4 + 4*v. Solve z(x) = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**15)*p**18\/p)\/(p**39)**(16\/9))**(2\/147) assuming p is positive.\nAnswer: p**(-404\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**(-37)*m)\/m*m)\/m)*m\/(m*m**(-1\/8)))\/(m**(-31))**(1\/17) assuming m is positive.\nAnswer: m**(5297\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*u + 9820 = -135*u + 21501 + 10859 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2841)\/45 - (-9)\/(-45))*18\/12. Is -126 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/55 and (-2)\/(-6) - (-425)\/(-750).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/92014 and 7\/6.\nAnswer: 276042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (78\/4)\/((-4833)\/3222)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 25196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 - 3*w**3)*(5*w - 2*w - w) - 6*w**4 - 3*w**3 + 3*w**3.\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.248 - -9.652. Let c = d - 1. Let l = c + 42.1. Which is bigger: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 63, 0, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -26*d + 31*d. Is -3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 1539 + 2857. Suppose 0 = -2*f + 2*t - 1570, 2*t = f + 2*f + 2352. Let a = f + d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7749186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8500 and 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 11. Let h be -2*4*(2 + -3). What is q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -321?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 143?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -23 + (41 - (-32 + 60)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, -1\/4, -1\/3, -29, -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7422 times -3.95?\nAnswer: -2.93169","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554686266?\nAnswer: 2, 3, 19, 73, 66653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(91) + 3*(sqrt(91) + sqrt(91)*-1))\/(-6*sqrt(56)\/sqrt(8)) + 1.\nAnswer: -sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11388505 divided by 599395.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -19. Let o be 1 - (t\/7 + -7). Let d(s) be the second derivative of -s**5\/20 + s**4\/3 + s**3\/3 + s**2\/2 + s. What is d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, e: 7}. Give prob of picking 3 e.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + u + (1 + 2 - 5)*(u - 3*u + u))*(-2*u - 2*u**2 + 2*u) - 70*u**3 - 164*u + 164*u.\nAnswer: -76*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g. Let j(t) = -17*t**2 - 24*t. Calculate v(j(n)).\nAnswer: -51*n**2 - 72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 452*i**2\/3 + 129397*i\/6 - 847347.\nAnswer: (i - 738)*(i - 83)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(2 + 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:07 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 1 - 5*s**2 + 0 + 0*s**2 + 6*s**2. Let k be p(6). Differentiate -97*g - 10*g**3 + k + 97*g wrt g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11287 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11096b + 3?\nAnswer: 110970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062 and -0.8?\nAnswer: -0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -26*o - 51. Let k be (-355)\/115 + 3 + (-1644)\/138. Let y be z(k). What is the greatest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203681 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3290*d + 1478*d**2 + 3285*d - 6576*d + 33 wrt d?\nAnswer: 2956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 = 5. Suppose -2*z + 2 = 5*u, -2*z + 4 = -3*u + 2. Suppose w*f - 9 - 21 = u. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17611281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-63)*(-700)\/(-1200)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.3 - -21.3. Suppose -5*o = q + 17, -1 = 2*q - q - 3*o. Let i be 2\/q*(-28)\/24. Sort 0.1, f, i, 0.4.\nAnswer: f, 0.1, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*r = 16, 10*b + 4 = 13*b + r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 + -1.5. Let d = u + -41.2. Let z = -51.1 - d. What is z rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 4*v**5\/15 - 10*v**4\/3 + 44*v**3\/3 - 80*v**2\/3 + 64*v\/3 - 30. Factor u(z).\nAnswer: 4*(z - 4)**2*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 406 = 37*w. What is the remainder when 61 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289653 divided by 13793?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwim when four letters picked without replacement from jimijwiiki.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.4. Let k = 47 + -31. Let d = k + -18. What is the closest to f in -0.2, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*-5*(-20)\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.208 to 1 decimal place.\nAnswer: -30.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 882667246 - 4?\nAnswer: 882667242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.03775 + 0.03775. Put 0.8, g, 4 in decreasing order.\nAnswer: 4, 0.8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.4 + -96. Let h = z - -14. Let u = -42 - h. What is the second biggest value in 0.2, 0.3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 41228?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-6 + 4 + -1)) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -d - 7, 43 - 34 = -3*d - 2*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272 - 228 + 201)*(112*q**2 - 59*q**2 - 57*q**2) as r*q**2 + o + l*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 + 10808*w = 0.\nAnswer: -2702, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.2212469 to 2 decimal places.\nAnswer: -57.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 15. Let j be 40\/(-50) - 28\/(-10). Suppose 24 = j*a - 5*a. Let o be n(a). Let p(k) = k. Let s(c) = 4*c. Calculate o*p(t) - 2*s(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 95*f**2 - 14*f + 4. Let d(x) = -96*x**2 + 15*x - 4. Let g(h) = 2*d(h) + 3*r(h). What are the prime factors of g(1)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 39\/(-27)) + (-2)\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020\/120*2 - (-933)\/(-55)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + (-424)\/36. Let m = 16 + h. Suppose -m = f - 23. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -84, -115, -154?\n\"Answer: -4*x**2 - 11*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.15 + -5.839. Let j = m + -0.011. Is -0.2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 - 46*o + 44*o - 2. Let x be (3 + -4)*-1*3. Determine u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1 + (-62)\/50)*-5. Let z be (2\/(-6))\/((-2)\/4). Let h = 4 + -2. Which is the nearest to h? (a) u (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-4 + 4 - 3*p) + 2*p + 11*p + 14*p - 9*p + (1 - 1 + 2*p)*(-4 + 3 + 3) + 2 - 2 + 2*p + 3 - 2*p - 3 + 0 + 0 - 2*p - 41*p - 674 + 674.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 26. Let q(c) = 23*c - 110. Let b be q(5). Solve -s*p - b*h + 45 = -0*p, 0 = 4*h - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 75*l - 13. Is w(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3624254 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 78 + c + 74 + 2074*c**2.\nAnswer: 2074*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 15*g - 34*g - 12*g.\nAnswer: g**3 - 31*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550, 525, 464, 349, 162?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, -5, -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 805 + 111. Suppose 3*p - 531 = -5*n + 621, -p + w = 4*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 10*z**2 + 42*z + 2\/3*z**3 - 72. Factor l(y).\nAnswer: 2*(y + 3)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l - 7*l + 3*l - 3*l. Suppose -r - 4*x + 0*x = -4, -5*r + x = 1. Let w(a) = a + a + r*a. Give w(y(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7806332*q**3 - 865466*q**2 + 1 wrt q?\nAnswer: -46837992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4496 is divided by 4476?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from hxmhyddhhmmmhhxdd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2. Let j(v) = 0*v**2 - 8*v**2 - 5*v**2. Give f(j(h)).\nAnswer: -507*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 2*c**3 + 9 - 9 + 2*c**4 - c**2.\nAnswer: c**2*(c - 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*y + 2*y = -24, -5*s + 4*y - 30 = 0. Let u be ((-118)\/3)\/(s\/9). Suppose 0 = -7*i + u - 24. Solve -2*w - 12 = -i*r + 13, -3*r - 1 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5682.803 millennia in months?\nAnswer: 68193636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 + h**4\/24 + h**2. Let q(z) be the second derivative of -z**4\/12 - z. Calculate 2*g(n) + 3*q(n).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 854369533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -67)*(-45)\/6*1. Let j = -229 + z. Suppose -j = -6*n + 154. What is the greatest common factor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -42. Let y(h) = -h**2 - 14*h - 10. Let w = 28 + -19. What is the least common multiple of w and y(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {i: 7, x: 1, u: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 178, 191, 208?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -112. Let m = b + -28. What is the remainder when 2 + 3 + m + 3 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Let s(n) = -2*n - 16. Calculate -5*i(x) - 3*s(x).\nAnswer: x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(1\/3))**(-1\/41)\/(q*q**(-6\/11)*q**(-5)) assuming q is positive.\nAnswer: q**(6062\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22685 - 3645. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/50)\/(2\/(-6))*(-105)\/18.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.6659539 - 0.0259261. Let t = -1806 + 1831.7. Let s = t + r. Round s to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7 - 155*h - 147*h - 147*h + 616*h - 155*h. Calculate t(8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.74432 to 0 dps.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53992 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 + 6*w + 2. Let d = -41 + 74. Suppose 0 = -2*h - 2*v + v + 39, 2*h - v = d. Calculate the smallest common multiple of r(6) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753966338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.8514 and 94.\nAnswer: 738.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 14*k**2 - 13*k. Let q be t(1). Let s(w) be the first derivative of 1\/4*w**4 + q*w**2 + 0*w**3 + w + 3. Differentiate s(y) with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -15*n**2 - 4*n. Let w(o) = 5*o**2 + o. Let t = 12 + -23. Let k(p) = t*w(p) - 4*j(p). Factor k(u).\nAnswer: 5*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 14. Let g be f(-10). Let m(q) = q**3 - 7*q**2 + 8*q. Give m(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15 + 11*q + 379*q**2 - 63*q**2.\nAnswer: 316*q**2 + 11*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24081, 28786, 33491, 38196, 42901?\nAnswer: 47606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12804 and 6402.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/7 + (-32)\/(-56). Suppose a = -0*v - 3*v + 4*f + 75, 2*f = 6. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 16*k + 12. Suppose f + 6815 = 5*q - f, -2737 = -2*q + k*f. Is (-1 + q + 1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31395 and 478023.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8027, 57590, 190209, 447404, 870695?\n\"Answer: 6920*l**3 + 8*l**2 + 1099*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3312)\/(-180))\/(4\/30). Let r be (t\/115)\/((42\/(-10))\/(-3)). Let m = -14 - -14.7. What is the biggest value in -1\/8, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1757172531 minus 0.5?\nAnswer: -0.3242827469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**4 - k**2 + k - 1. Let o(q) = -3*q**4 + 4*q**2 + 2*q + 4. Let y(d) = -o(d) - 4*v(d). Find the second derivative of y(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*r + 6, 4*a - 4*r - 34 = 6. Let l = 0 + a. Do 7 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 43. Let z be (-24)\/(-35) + 6\/s. Let q be 3\/(-7) + 0\/1. What is the closest to -2 in 1\/5, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:23 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 - 83*g**2 + 31*g - 42. Let n be t(-17). Solve 0 = -3*j - 2*q - n, 4*j + 15 + 14 = 3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102.4576 + 0.0424. Let o = n - 85. Round o to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/297 + 285\/(-396)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 5*i**3 + i**5)*(0 + 1 - 2) + 4*i**5 + i**5 - 3*i - 6*i**5.\nAnswer: -2*i**5 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(75) + -2*sqrt(75) + -5 - 6*(sqrt(75) + sqrt(75)*-2 + -1 + sqrt(75))**2) + 3.\nAnswer: -5*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 31 = 6*f. Suppose 0 = -2*j + f - 0. Let u(l) = -4*l - 6 + 3 + j. Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119) - sqrt(119)*2))\/(2*sqrt(175)) - ((3*(sqrt(425) - sqrt(17))**2 - (sqrt(17) + 5*(2*sqrt(17))**2)) + -2).\nAnswer: -474 + 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4 + (-12094)\/(-3022)). Let n(c) = c + 3022 - r. Let u(x) = -13*x**2 + 5*x**2 + x**2 - 12*x**2. Give n(u(q)).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 3 + -4 + 4. Let n(t) = -3*t**3 - 2*t**2 - 2*t - 2. Let f(s) = -7*s**3 - 5*s**2 - 5*s - 5. Calculate w*n(m) - 2*f(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a**2. Let x(i) be the third derivative of -i**4\/24 - 2*i**2. What is p(x(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**(1\/2)\/(h*h**(1\/3))**26 assuming h is positive.\nAnswer: h**(-517\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (681\/227)\/(1\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(119) + sqrt(119))*-4)\/(sqrt(567)*2 + sqrt(7)))**2.\nAnswer: 2448\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 20*r + 3. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*-1*sqrt(560) + sqrt(560))\/(sqrt(40)\/sqrt(4)*-2))\/(3*((sqrt(96)*-1)\/sqrt(12) + sqrt(8) + sqrt(32)\/(sqrt(16)\/sqrt(4)))).\nAnswer: -2*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -59. Let r = z + 28.135. Let y = -4.135 + r. Sort 4, y, 7, -2\/15.\nAnswer: y, -2\/15, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -126. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-5))\/t**(2\/21))\/(t**(-2\/7))**(-9\/5))**(-4\/13) assuming t is positive.\nAnswer: t**(-2264\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/44620 and 9\/8?\nAnswer: 89240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11501 divided by -74.\nAnswer: -11501\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 855*m = -852*m + 55, 5*v = m - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 5*n - 2*n + 0*n + 3*n**2 - 2. Let a be i(-5). Suppose 32 = 6*y - y - 2*r, r - 4 = 0. Calculate the highest common divisor of y and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n)**(-1\/11) assuming n is positive.\nAnswer: n**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -111033122?\nAnswer: -111033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.42, -7 in decreasing order.\nAnswer: 0.42, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, 27, 140, 363, 732, 1283, 2052, 3075?\n\"Answer: 6*d**3 + d**2 - 6*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 230.\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 13}. Give prob of picking 1 f and 1 q.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -0. Let g = -28 + 66. Let f = -34 + g. Sort k, 0, 5, f in descending order.\nAnswer: 5, f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-10) - (6\/(-2) + 6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9.15 * 10573\nAnswer: -96742.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21)*-12*2\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwfmwwk. Give prob of picking 1 k, 1 m, and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -14.8. Let k = j - -12.8. What is the third biggest value in -0.1, k, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6*(-1)\/(-2) - (-431 - -436).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*o + 5, 3*l + 2*o - 29 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 6. Let x be o(-2). Suppose -x*p + 21882 = 8988. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -4\/3, -1\/5, -2\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 + (-1)\/(-3). Suppose -24 = -u*g - 3*n - n, 0 = -4*n. What is the units digit of 70\/6 + 4\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -3168?\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(1\/(-5) - (-2844)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5 + (0 - 3) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 322875 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 976675163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -694\nAnswer: -138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920055 is divided by 85217.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47289*a**2*c*j**3 + 8*a**2*c - 2*a**2*j**2 + 28*a*c + 7*c*j**2 wrt j.\nAnswer: 283734*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -390 times -0.5\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a day?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -384 divided by 16\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 5 + 1 - 9*j**3 as o*j**3 + l*j**2 + z + y*j and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19345465 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 2. Let x(k) = -29*k - 186. What is 30*s(r) + 2*x(r)?\nAnswer: 2*r - 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5 and (0 - ((-144)\/150 + -1))*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -2*d**3\/3 - 4. Let x(l) = 10*l + 42. Let u(r) = r + 6. Let g(s) = 6*u(s) - x(s). What is g(h(c))?\nAnswer: 8*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -121021?\nAnswer: 120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -71.8. Let d = v - -8. Let x = -3.8 - d. Which is the second smallest value? (a) 0 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 14*n**2 - 25*n - 51. Let p be r(16). Let m = -42 + 80. Suppose 0 = -11*b + p + m. Calculate the least common multiple of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*w = 25279, 3*a - 18960 = 3*w - 7*w. List the prime factors of a.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6743, -6745, -6747?\n\"Answer: -2*d - 6741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/518)\/((-27)\/1998).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 231 = -t - 173, -17*t + 12*t + 206 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7342*k**2. Let q(o) = o**2 + 89. Give q(m(h)).\nAnswer: 53904964*h**4 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232968, 232963, 232956, 232947, 232936, 232923, 232908?\n\"Answer: -j**2 - 2*j + 232971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and 25\/2298?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -206. Suppose -f*l + 114127 = -52*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiiennee. What is prob of picking 1 e and 1 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31263090 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + s**2 - s**2 + (123 - 123 - 21*s**2)*(2 - 3 - 1)*(0 + 2 + 0)*(-5*s + 5*s - 4*s**2).\nAnswer: -335*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzodzzddzd. What is prob of picking 1 d and 1 o?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:47 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32224 at least as big as 32225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4093312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69560676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 47*n**2 + 93*n**2 - 199*n**2. Let t(b) = 13*b**2 - 26*b**2 + 10*b**2. Give o(t(p)).\nAnswer: -531*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35480*y - 35478*y + 3 - 3.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/13, -261\/4, -39 in increasing order.\nAnswer: -261\/4, -39, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40\/7 - 6. Which is the fourth smallest value? (a) m (b) -0.05 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2447546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -61. Let x(z) = z**2 + z + 4. Does 2 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -9\/2, 15663, -2, 0.1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*p + 14, t - 4*t - 22 = -2*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k + 134. Let r be 40\/9*(-15)\/10*3. List the prime factors of j(r).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2412106 is divided by 2497.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 4*p - 42 = 0, -17 = b - 8*p + 12*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:08 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 74*v - 298. Let s be u(4). Let g(h) = -3*h**2 + h. Let r(w) = w**2. Calculate s*g(c) - 2*r(c).\nAnswer: 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f - 189*l + 190*l, 4*f + 3*l - 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 14786 = 3*j - 14776, 0 = 41*j + 8*d - 4*d + 156 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 31093871*b**2 + 1370*b + 12483?\nAnswer: -24*b**2 - 62187742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 47*y + 61 = 0. Find the second derivative of -3*z**5 + 23*z - y*z - 34*z**5 - 18*z**5 wrt z.\nAnswer: -1100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5174857 is divided by 1724943.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4289644131.\nAnswer: 3, 7699, 185723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88322 and 2479178?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 140a2786 + 4?\nAnswer: 140a278a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = 5. Let g = k - -27. Solve g = c + 5*t, -5*c - t + 17 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0\/((-8)\/(-4)). Is 7 a factor of (w\/(-2))\/(9\/(-186))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78400 and 29600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.589 rounded to two dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3305682, -6611360, -9917038, -13222716, -16528394?\nAnswer: -19834072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*u**2*y**4 - 87*u**2*y**3 + 3*u**2*y**2 + 281*u**2 wrt y.\nAnswer: -240*u**2*y - 522*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s*(s**(-3\/28)*s)\/s)*s)*s)**(-21)*s**10\/(s\/s**(4\/13)) assuming s is positive.\nAnswer: s**(-491\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/70 - 19*q**6\/20 - 37*q**5\/20 - 194*q**2 + 2. Factor g(n).\nAnswer: -3*n**2*(n + 1)*(n + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(16\/40)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -544 + 1631\/3. Let w = 510 - 510.18. What is the closest to o in w, 2, -0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 + 225.28. Let t = j - 0.28. Let i = 5.5 - t. Which is the third smallest value? (a) -2 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22*40\/(-240))\/(1\/6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3878 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/2 (b) 8 (c) 0.12 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.4 (c) 14 (d) 18.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 21*d**2 + 21*d + 2. Calculate the least common multiple of j(-22) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 3*v)*(0 - 2 + 3)*(-20 + 50 - 19)*(-1 - 2 + 2).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**5 - 26*g**4 - 18*g**3 + 2*g**2 + 4*g.\nAnswer: -2*g*(g + 1)**3*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(15*22\/165). What is the smallest value in -135, v, 0.1, 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*(sqrt(171) + (sqrt(171) - (sqrt(171) - sqrt(171)*-1))) - sqrt(171)) + sqrt(171))\/(sqrt(45)\/(3*sqrt(5)) - sqrt(9))*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 0.05, -0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s**2 + 22*s - 18. Let u(w) = -5*w**2 + 10*w - 8. Let d(o) = -4*m(o) + 9*u(o). Let n(q) = 4*q**2 - q. What is -3*d(y) - 7*n(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -5\/6*i**3 + 0 + 1\/120*i**6 + 27*i**2 + 3\/20*i**5 + 0*i + 1\/4*i**4. Give d(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (2 + 12)) + -22 + 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -433048 and -433044 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -626 divided by 1\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -61*s - 1150. Let m be u(-24). What is the closest to 2\/9 in m, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32907*n**2*t - 172*n**2 + n*t - 458*n - 8379*t - 2 wrt n.\nAnswer: -65814*t - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4657 + -45?\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (8 + 0)) + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271 - -221. Let w = o - 5406\/11. Let j = 13 + -12.6. Which is the closest to -0.1? (a) j (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -792*a**3 + 7*a**2 + 2*a - 637139?\nAnswer: -2376*a**2 + 14*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezee when four letters picked without replacement from ezezzzzzeeee?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/6 - 3*y**2\/2 + 12*y. Give i(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -54*y. Let f(a) = 2*a**2. Calculate f(x(k)).\nAnswer: 5832*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 0*p)*(72 - 15 + 52 + 7).\nAnswer: -116*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*r + 4*k, -r + 7*k - 3*k = -27. Let w = 112 + r. List the prime factors of w.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396 + 248. Let r = n + 146. Which is the smallest value? (a) -0.4 (b) -1\/5 (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53839238 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u - 23 - 20*u - 13*u in the form s + x*u and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75612900.\nAnswer: 2, 3, 5, 11, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1014370 and 608622?\nAnswer: 3043110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 128\/24. Suppose o*t - 3*t + 21 = c, 3 = -c - 4*t. Calculate the remainder when 37 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*k - 4, -2*k - k - 3*i = -15. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**6)\/(((a\/(a\/(a*a\/a**(-15))))\/a)\/a))\/(a*a\/a**(-18)*a**22*a) assuming a is positive.\nAnswer: a**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14321 - 14321.5. What is the fifth biggest value in 5, -2, -14, j, -0.2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 - -2. Let x be ((4\/2)\/(37 - 2))\/((-184)\/(-920)). What is the third smallest value in 5\/4, x, a?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126975009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, 0.1, -2, -80?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhgvghghg. Give prob of sequence vgg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - h - 34*h**2 + 50*h**2 + 59*h**2 to the form w*h**2 + t + o*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 1, 66, 4, 156.\nAnswer: -81, 1, 4, 66, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(117) - sqrt(117) - -6*sqrt(208))**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -2*h**2 + 3*h - 782. Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2 = h. Let d(w) = w**3 + 15*w**2 - 4*w - 57. Let b be 4 + -5 + 1 + -15. Let v be d(b). Solve c = v*c + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 29, 27, 15, -7, -39?\n\"Answer: -5*v**2 + 23*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20052484*q**4 - 20088308*q**3 + 35840*q**2 - 16*q.\nAnswer: 4*q*(q - 1)*(2239*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) -49 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 11) to base 15.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*z - 1876572, -32*z + 2502075 = 4*l - 33*z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -g. Suppose g*l - 69 = l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**(1\/11))\/m*m*m*m**30\/m)\/(m*(m**24*m)\/m*m*m*m\/m**(15\/7)) assuming m is positive.\nAnswer: m**(557\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268860 divided by 44810.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1673, 3399, 5149, 6923, 8721, 10543?\n\"Answer: 12*x**2 + 1690*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = 3*z, d - 5*d - 8 = 3*z. Suppose 5*r - 18 + 3 = 0. Suppose y - 2*i = -z*i + 12, y + r*i - 9 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*f**4 - 16*f**5 - 55*f**4 + ((-4 + 9*f + 4)*(-f - f + 4*f) + 7*f**2 + 0*f**2 - f**2)*(3*f**3 + 5*f - 5*f).\nAnswer: 56*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 4, 40, -39, -25 in descending order.\nAnswer: 40, 4, 2, -2, -4, -25, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/10)\/(1 + 68\/(-120)). Is -6 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 94, 0.5, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/8947?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 - -200. Calculate the highest common factor of 135 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 5, 51857?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 77801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -24. Let v = -32 + z. Let o be -1 + (6\/(-5) - -2). What is the smallest value in v, -0.3, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + 4 + sqrt(17) + -2)**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405697 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.84, 0.3, 2\/33, 1, -388, -5 in descending order.\nAnswer: 1, 0.3, 2\/33, -5, -14.84, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:25 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -294 + 293. Let b = -739 + 37685\/51. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*x**2 + 126 wrt x.\nAnswer: -50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(176) - sqrt(176)) + -4 + sqrt(176)*1 + 3)**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*m - 5 = 0, 5*t - 5*m + 21 = -19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 1008?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1067 * 1440\nAnswer: 1536480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 3*b**3 + 0*b**3 + 1 - 1 - 2*b**3 + (-b + b + b**3)*(0 - 3 + 2) + (4*b - 4*b + 2*b)*(-4*b**2 + 0*b**2 + 2*b**2) + 108 - 20*b**3 - 108.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x. Suppose -8 + x = -4*a. Solve z + 0*g - 9 = -a*g, -g + 4 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -312, -301, -292, -285?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 243*f**2\/2 - 17. Let v(r) = 28*r - 5*r - 4*r - 8*r - 12*r. What is v(j(w))?\nAnswer: -243*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -0.1\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 171212544*i - 1832108451434496 = 0. What is i?\nAnswer: -21401568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 185 = o. Let d = o + 83. Let h = d - 29. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynvynvqj. Give prob of sequence vy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and 0.341.\nAnswer: -12.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40e7 (base 15) to base 4.\nAnswer: 3112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/27 - (-4)\/(-18). Suppose 0 = -4*u + 5*u - d. Let k = u + 9. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3040.127 rounded to the nearest integer?\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542, 549, 568, 605, 666, 757?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - sqrt(504)*2)*-1 - sqrt(504))\/sqrt(12))\/(sqrt(48)\/(sqrt(200) + 2*sqrt(200) + sqrt(200) + sqrt(200))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -18, -34, -58, -90, -130?\n\"Answer: -4*i**2 + 4*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 6*s = -11, -17*s + 12*s = -4*b - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -5*n. Suppose -n*c = -0*c - 12. Suppose -b - 35 = -c*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 2*j + 2. Let c(u) = -u. Let q be c(4). Let x = 2 + q. Does 9 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98392290 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1408*h**2 + 24*h + 3. Let t(l) = -1402*l**2 + 32*l + 4. Let a(v) = 4*b(v) - 3*t(v). Let j(m) = -5*m**2. What is a(j(z))?\nAnswer: -35650*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/2405 and -82\/746475.\nAnswer: 9704175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4844?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5448, 10860, 16270, 21678, 27084?\n\"Answer: -h**2 + 5415*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (30 - 51) + 9 + 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:07 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187\/1704 + 50\/213. Let p be (-8)\/28 + 69\/168. Find t such that 0*t - c*t**3 + 0 + p*t**4 - 1\/4*t**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361014, 722579, 1084144, 1445709, 1807274?\nAnswer: 2168839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*t - 734 - 928 - 1250 = -24*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*n - 59042 - 50754, -5*h - 164680 = 3*n. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 2*h**2 - 6 - 4 + 0*h + 0*h + 8*h in the form s*h + d + t*h**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:46 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1635\/(-140)*(-10960)\/45. Let b = r + -2843. Let n = 32879\/6 - 5496. What is the common denominator of b and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 202 - 22. Let r = -19 - u. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1649*r**4\/24 - 45*r**3\/2 - 4*r**2 - 12*r. Is c(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 13) + 0 + 2 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:01 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14490115*0.16\nAnswer: -2318418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17630 divided by 41.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33.31 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3573 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4775216 rounded to the nearest 1000?\nAnswer: -4775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295213992 to the power of 1\/2, to the nearest integer?\nAnswer: 17182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - 5*o**3 - 5*o**2 + (6 + 0 + 11)*(0*o**3 - 2*o**3 - 2*o**3) to the form b*o + p*o**2 + q*o**3 + y and give q.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 3)*(15*l + 681 - 1380 + 668) in the form v*l + z and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*1 - sqrt(189))*-6 - sqrt(189))\/(sqrt(18)\/(1*sqrt(6)) + -1*sqrt(108)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, -86, 63.96, 2, 0.5, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*c + (3 + 0 - 1)*(0 - c + 0) + 0*c - 2*c + c + c + c + 0*c + 2*c - 1 + 1)*(-856 - 767 + 2404 - 622 - 614) in the form a + g*c and give g.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 12 - -32 - (4 - 2 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1914, 1, 1.3 in descending order.\nAnswer: 1914, 1.3, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*k - 4. Suppose -k*w + 765 - 117 = 0. What is the greatest common factor of 135 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 33 - 21 = 0. Let y(m) = -m**2 + 6*m + 32. Let o be y(s). Suppose -6 = j - o*u - 92, 0 = 4*u - 16. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247489429 is divided by 310?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 - y - 4*y + 0.\nAnswer: -5*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 72, -3, 2, -5 in increasing order.\nAnswer: -18, -5, -3, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9313938*d**3 - 8666426 wrt d?\nAnswer: -27941814*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 15 = 5*y - w, 0 = 4*y - w - 17. Let c = 9 + -5. Suppose g = -g + c. Solve 2*f + 15 = j, -2*j - 20 = g*f - y*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 + 71*x**2 - 18*x**2 - 25*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {m: 1, b: 2, v: 1, w: 1, p: 1, u: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 128*g**2 - 724*g - 592.\nAnswer: 4*(g - 37)*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1370 = 13*o - 3*o. What is the tens digit of ((-84)\/14 + 5)*o\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233645510 (base 7) to base 11.\nAnswer: -8190238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 138688 divided by -6304\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -21*g, 5*c + 3*g = 10. Determine d so that 4\/3*d**3 + 4*d**c + 8\/3*d + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 16 + 4. Suppose 0 = -4*u + 4*o + 3104, 0 = v*u - 3*o + 1194 - 4296. What are the prime factors of u?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*t + 46 - 104. What is the nearest to -6\/37 in -5, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y + 374 = 1622 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4)\/((-224)\/32).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1424 + -10?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 4775*t**2 - 22990*t**2 - 4192*t**2 - 4*t.\nAnswer: -22407*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-1)\/2. Let w = 377 - 376.6. What is the closest to u in 4, 4\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323392463 - -323392646.0000815. Let s = -183 + j. Round s to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-10))\/(2\/(-10)). Suppose -v + w*v = 55. Suppose 2*a = 6*j - 7*j + 112, 3*a - 4*j = 157. What is the highest common factor of a and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 59*n + 29 = 61*n, 5*w - w + 5*n = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 213031000?\nAnswer: -213030331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205704 + 7791 = -3405*h - 799*h - 761*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -13. Let u = 18 - -5. Suppose 2*i - u = 9. Calculate the highest common divisor of v and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.001943 minus 193981?\nAnswer: -193982.001943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5\/4, -557, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**6\/360 - k**5\/120 + 3*k**3 + 13*k. Let c(r) be the second derivative of a(r). Let v be c(0). Solve -2*n + 4*n = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/15)\/(6\/(-45)). Suppose -t = -0*k - 3*k. What is the third derivative of -2*f**3 - f**3 + 5*f**2 - 3*f**k wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 2, -11 in ascending order.\nAnswer: -83, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, 3\/4, -19, -356.7?\nAnswer: -356.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75107 is divided by 229.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2\/9 - 5622932*c\/9 + 8746696 = 0. What is c?\nAnswer: 14, 1405719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55800.9*-0.284\nAnswer: 15847.4556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -13, 0.02, 11964\/11, 5\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 219 and -1166.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((2 - 3)\/44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, -0.2, -3.2 in descending order.\nAnswer: 0.2, -0.2, -1\/2, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 + 4 = 0. Factor -a**3 - 6*a**2 - q*a**3 + 15*a**2.\nAnswer: -3*a**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p**3 + 207*p**2 - 767*p + 36. Calculate r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t)\/(t\/t**(2\/9))*(t*(t**(1\/5)*t)\/t*t)\/t**6*t*t**0*t**(1\/5)*((t\/(t**(-7)\/t))\/t)\/t*t**4 assuming t is positive.\nAnswer: t**(283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3098*r*z**4 - r*z + 584*r - 11500*z**4 - 2*z**3 - 3*z**2 + 321*z wrt z.\nAnswer: 74352*r*z - 276000*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 - 8*c + 12. Let a be d(5). Does 24 divide (51372\/(-42))\/a + (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = 42*w + 168. Factor -462*p**4 - 12*p - w*p**3 + 462*p**4 + 4*p**5 - 32*p**2.\nAnswer: 4*p*(p - 3)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -3\/4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52779 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)*4)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9) + 11\/((-198)\/(-156))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1daf2f (base 16) to base 9.\nAnswer: -3584515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 83*p - 85*p, 5 = 2*u + 5*p. Let g be (-2)\/(-9) - 2\/9. Solve u = -g*x - 5*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -943.8 - -944. Let f = 6.049 - 6. Sort f, -3\/7, 0.5, b.\nAnswer: -3\/7, f, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2, -2\/69, 0.5, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f - 6. Suppose 87 = -6*g - 111. Let c be (-753)\/g + 12\/66. Let p = -30 + c. Determine a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*c + 10 = -3*c, 2*h = c + 4. Let f be (h*-1)\/(6\/(-9)). Let w = 14 + -11. Solve -w*b - 4*i - 22 = -2*b, b = i + f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 7. Suppose 2*w - 14 = 2. Suppose 3*x + 6 = 6*x. Suppose -2 - w = x*l. Calculate d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142904019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -27*l**3 - 5*l**2\/2 + 4*l - 6. Let k be (6\/5)\/((-4)\/(-10)). Let y be w(k). What is y rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0899, 31\/8, -43 in ascending order.\nAnswer: -43, 0.0899, 31\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0424 + -0.014. Round p to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*a - 1067 + 177 = 170 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 101, 154, 233, 344?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c - 1. Let o(u) = u**2 - 2*u + 2. Let n = -3 - -1. Let l(z) = n*r(z) - o(z). Let y(v) = v. What is l(y(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + (2 - -3)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 61*v + 619. Calculate the remainder when 1463 is divided by u(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112301 + 10?\nAnswer: 112311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 138 times -0.359778\nAnswer: -49.649364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:44 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*a**5 + 7 + 7 + 0*a + a**5 + 0*a + (0*a**5 + 4*a**5 - 6*a**5)*(-3 + 5 + 0) - 3*a**5 + a**5 - 2*a**5 + 2*a**5 + a**5 - a**5.\nAnswer: -3*a**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**3 + 2*t**2 - 4*t. Let q(d) = -6*d**3 - d**2 + 3*d. Let u(f) = 5*q(f) + 4*v(f). Let p be 1 + -1 - -2 - 0. Give u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 1. Let i = 62 + -63. Determine j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13.8. Let f = -0.71 - k. Let s = 0.41 + f. What is the closest to 0 in 5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2834 + 3185. Calculate the remainder when i is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1049 + 1049.3. Which is the fourth smallest value? (a) w (b) 2 (c) -0.5 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/9*4\/((-40)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 220 = r. Suppose 5*l = l + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 19*q**3 - 3 + 0 + 202*q**3.\nAnswer: 183*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*w - 6 = 101, -82 = 4*h - 2*w. Let q be 6\/h + 23\/7. Suppose -3*i - 9 = -q. Let t(p) = -2*p**2 - 3*p - 1. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.138081, 0.3, 0.053 in descending order.\nAnswer: 0.3, 0.053, -0.138081, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 + 91188*u**3 - 91187*u**3 + 639*u**2 + 0 as f*u**2 + k + h*u + q*u**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 1. Suppose -g + 2*g + 104 = 5*y, 0 = -y - 2*g + 12. Suppose -3*p - 43 = -7*a + 2*a, -4*a + y = 0. Give h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3 (b) 107 (c) 5 (d) 488 (e) 2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 28*f**2 - 62*f + 45. Let h be g(30). Let u(t) = -t**3 - 12*t**2 + 30*t. Is u(h) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78145, 156288, 234431, 312574, 390717, 468860?\n\"Answer: 78143*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - (-15)\/(-9). Calculate the remainder when 52\/6*(-4 - -7) is divided by (-16 + 2)\/1*u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-154) + (-280)\/55*(4 + (-819)\/207).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.4 - -13.4. Which is the nearest to -0.9? (a) 1\/10 (b) -4\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144190040*r**3 - 2841513*r.\nAnswer: -865140240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let f be (-1 + u)*-1 + 0. Let o = 6 + -3. Put -3, f, o in decreasing order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 10*g - 4. Let a be f(-3). Let b = a + 72. Solve -4*r + 4 = -b*m, 5 = 2*r + 3*m - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b - 10. Let j be s(10). Let u = 2047 - 2166. Let m = j - u. Calculate the highest common factor of 95 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 - 136*h**2 - 244*h**2 - 2*h**3 + 379*h**2 - 9*h + 27 to the form z*h**3 + n*h + s + x*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 22*c**3 - 7*c - 30*c**3 + 12 + 16*c as z*c**3 + y + j*c + f*c**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -455443248 divided by 48\nAnswer: -9488401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 + 11*m + 8. Let d(i) = -i**3 - 6*i**2 - 13*i - 7. Let n(r) = 2*d(r) + 3*h(r). What is n(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from cvjcpqj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.0778, -2\/3?\nAnswer: -0.0778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 4*s - 44. Let x(v) be the third derivative of 0*v + 0 + 1\/120*v**6 + 1\/30*v**5 + 0*v**s - 2*v**2 + 1\/2*v**3. What is x(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from auaaizua?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/3*-114*23\/(-874)*-19\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22808 divided by 5702\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.092?\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + w + 8, -5*k - 2 = 4*w - 3. Let g = -9 + 8. Let d be 65\/20 - (2 - g). Sort k, d, -0.4 in ascending order.\nAnswer: k, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 253 - 261 + v - v + 4*v. Give d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 593*q**2 + 635*q - 1759483 wrt q.\nAnswer: 1186*q + 635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248978691 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.38939 rounded to 2 dps?\nAnswer: 21.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/72 and -127\/106560.\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42907004039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9*z = -26306, -z = 3*t - 6*z - 15784. What are the prime factors of t?\nAnswer: 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 + 6*c**2 + 6*c + 2. Let s(b) = b**3. Let q(g) = -2*s(g) + v(g). Factor q(m).\nAnswer: 2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305627987?\nAnswer: 7, 43661141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -356\/5? (a) 2\/7 (b) -3.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7*f + 9. What is h(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*d**2*l**4 - 4417*d**2*l**2 - 3*d*l**2 + 6*l**4 wrt l?\nAnswer: 600*d**2*l + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -205976 divided by 669?\nAnswer: -205976\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*o**6*p + o**3*p + o**2*p - 3*o*p - 14*p wrt o?\nAnswer: -3000*o**3*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71611966*o**4 + 27755886.\nAnswer: -286447864*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 4*m + 4. Let u be q(6). Let v = 8 - 2. Suppose 2*f + u = v*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 177424? (a) 4 (b) -0.1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**3\/3 + 7*p**2\/2 + 3*p. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*o - 19*o**2 - 9 + 54*o + 35*o**2 + 8 to the form s*o + g*o**2 + z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713*b + 607 - 2024 - 2009 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(80) - (1*sqrt(80) + sqrt(80) + 3))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49924, 49990, 50056?\nAnswer: 50122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151636533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.0470256 rounded to the nearest integer?\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 25546818*g.\nAnswer: -3*g*(g - 8515606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + -5 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + f + 31, 2*f - 4*f + 28 = 2*x. Suppose 3*p + 31 - x = 2*s, 0 = -s + p + 10. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/11 and -76\/30651.\nAnswer: 337161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 7. Let o(w) be the third derivative of w**4\/24 + w**3 + 2*w**2. Let f be o(-6). Determine d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3 + (-6)\/18.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -39*t. Let x(z) = 2*z. Determine o(x(h)).\nAnswer: -78*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -414220*j - 4172. Let q(t) = 596*t + 6. What is 6*m(s) + 4172*q(s)?\nAnswer: 1192*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/56 - 7\/28. Let f(m) = -82*m - 729. Let w be f(-9). Sort 5\/3, q, w.\nAnswer: q, 5\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -9*z + 4*z. Let l(o) = o**3 + 5*o**2 - 9*o - 9. Let v = -515 - -509. Let s be l(v). Calculate the greatest common divisor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*h - 5*h + x = -4*h - 24, -4*x + 3522 = 697*h - 1345 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k + 2, -4*k = -2*r + 88. Suppose 137 = 6*x - x - 4*z, -5*x - 4*z = -113. Let u = -14 + x. Calculate the remainder when r is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52920 and 14112.\nAnswer: 211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.038 + 18.038. Let y = -18.232 + v. What is y rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*w + 4*a + 16, -16 = -3*w + 4*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85790347 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*(31434\/(-741) - -43)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -119, -2, -0.1, 3\/8, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 12. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*v + d - 131, 0 = 3*v - 5*d - 210. What is the remainder when v is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 12 - (2 - (-2 + 17 - 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1301?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 17. Let y(p) be the second derivative of p**3\/3 + 3*p**2 + 32*p. Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, k: 2, g: 1, a: 1, y: 2}. What is prob of sequence kiy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/1025, -5, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/33*(-11)\/(-22)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 22 = -t + 5*t, -5*t = 2*x - 22. Solve -x*f - 4 = -8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9*l + 2*f = 12, 4*l - f = 7. Let t = 1 + 1. What is the remainder when l is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1396 and -151\/1185204.\nAnswer: 1185204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - v + 55 - 78 = 0, 0 = -v + 2. Let w(q) be the first derivative of -q**2 + 0*q + q**3 + 7\/5*q**l - 11 + 3*q**4. Factor w(m).\nAnswer: m*(m + 1)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598205701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1736 + t + 538 - 3545 + 313 - 1748 to g*t + x and give x.\nAnswer: -6178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*b**2*v**3*x + 3*b**2*x - 3*b*v**2*x - 2*b*v - 2*v**4*x**2 + 2*v**3 - 13*x**2 wrt v.\nAnswer: -102*b**2*x - 48*v*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*j + 199*j - 1589*j - 205088 = 295*j for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 1883260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(833)) - ((sqrt(833) - (3*sqrt(833) - sqrt(833))) + 3) - (1 + sqrt(833) + -1 + -1)*2)**2*-6.\nAnswer: -5052 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -317720 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 634013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -58 and -23895344.\nAnswer: -23895402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 48*z**2 - 31*z + 180. Let c be s(-26). Do -1718 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by -4.\nAnswer: 147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/958 and -47\/14?\nAnswer: 6706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2682 + 2683. Let n(d) = 8*d - 1. Calculate n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 197328 divided by -3?\nAnswer: -65776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - z**4 + z**4 + 0*z + 0*z + z**4 + 0 - z**4 + 0 + (-2*z**3 + z**2 - z**2)*(0*z - z + 0*z) - 10*z + 10*z**4 + 10*z + 0*z**4 + z**4 - 5*z**4.\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 = 4*k + 4*j, 7*k = 5*k - 4*j + 558. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**(-7)\/r)\/r)\/r))\/r*r**(-1\/4))\/(r**0)**(-13) assuming r is positive.\nAnswer: r**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 17. Let k = i + 14. Suppose -p = -k*p + 4. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1 - (11 - 14)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/144*-2 + (-6)\/(-27). Which is the third smallest value? (a) r (b) -6 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**3\/6 - o**2 - o. Let p be 14\/6 - 11\/33. Let t be i(p). Solve -s = -3*q + 11, 0 = -5*q + s - t*s + 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 6. Let d(p) = p + 161. Determine d(i) - 2*x(i).\nAnswer: -i + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-112)\/42*-8973 + -13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c - 11*c - 49*c.\nAnswer: -103*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -4\/5, -3\/2?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*16\/(672\/70)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83eb8 (base 15) to base 9.\nAnswer: -707002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 297036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 3, e: 1, r: 5, i: 1, z: 3}. What is prob of sequence kiu?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 4*h**2 + 3*h**2)*(-6*h - 736*h - 369*h - 240*h).\nAnswer: -2702*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28547*l**3 + 57109*l**3 - 28558*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -802*q**6\/3 - 511*q**3 + 1206. What is the third derivative of u(n) wrt n?\nAnswer: -96240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3404 + 3390 = -5*b + 6806, -2*u = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 3*m + 1. Let x(i) = 2*i + 5. Let l be x(0). Let a(g) = g. Calculate l*a(b) - 2*w(b).\nAnswer: 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177\/11 + 3507\/220. Let u = -0.2 + 0.4. Sort -0.4, u, h.\nAnswer: -0.4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 23. Let h = -11 + b. Suppose h*c - 20 = 0, -2*g + 1 = -5*c - 75. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2340, 20, 2, -29, -5 in increasing order.\nAnswer: -2340, -29, -5, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/(2\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18 and 342947\/(-18084) + 7 - -12.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 7. Let j be m(-5). Suppose j*y = 4*y. Suppose -59 + 169 = 4*w - 2*s, y = w + 4*s - 14. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 11. Let y be z - (-8 + 1 + 2). Let o = 0 + y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20.3? (a) 8\/87 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l**5\/l*l))\/l))**(-16\/3)*l**(-2\/45)\/l*(l**0\/l)\/l assuming l is positive.\nAnswer: l**(-1337\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 41*i**2 - 26*i - 42. What is the least common multiple of 56 and u(-21)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - (53 - 121) - (-1 + -7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**2 + 23316*z + 6660 = 0.\nAnswer: -1110, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 88 + 3*f**3 - 14*f - f**2 - 41 - 41. Let s(x) = 3*x**3 - x**2 - 13*x + 7. Let b(i) = -4*s(i) + 5*u(i). Find the second derivative of b(y) wrt y.\nAnswer: 18*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 15*h - 157. Let z be r(13). Put -1, -3, z, 4 in decreasing order.\nAnswer: 4, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = 3*f, 0 = 5*f - 3*y + 4*y + 15. Let g be 1620\/(-120)*4\/f. Let o = 432 - 270. Calculate the highest common factor of o and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/259099 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10*s - 20 = 0. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1454010.1 to the nearest 10000.\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1933\/9 - -215. Let p = -7.5 - -5. Let r = -3 - p. Which is the third biggest value? (a) d (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -854.54 - -14.54. Let h = i + 839.519. What is h rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -13\/58713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and ((-36)\/(-14))\/(9\/(-378)*-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 13) + 16 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/13 + 13342*j**3\/13 - 22137244*j**2\/13 - 380440192*j\/13 + 402564096\/13 = 0. What is j?\nAnswer: -18, 1, 3344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 59*h + 1310. Let n be m(-22). Solve -143*a = -147*a + n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*x - 15, 8652*a - 4*x - 2 = 8656*a + 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-179 - -175) + (455*1 - 1). What is the greatest common factor of 2400 and h?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*g - 21 = 0, -3*h + g - 16 = -12. Which is the third biggest value? (a) 0.2 (b) -1\/41 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 329 + 658 = 0. Let h = 606 + n. Is 14 a factor of 16\/72*h - 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb62b1 - 4?\nAnswer: bb62ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327 - -331. Solve -2 - 6 = -p*h - 4*x, h = 3*x - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-13)\/(-26)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609524487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0139402 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, y: 1, o: 5}. Give prob of sequence oyo.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 54874920 divided by 10610\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from zzznt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154.8222 and 4.\nAnswer: 619.2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5243576 divided by -41288\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 14 + 4)*(3*f**2 - f - f + 10*f**4 + 11*f**4).\nAnswer: -1239*f**4 - 177*f**2 + 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 6*r + 3. Let h be m(-6). Put 0, 2, 5, h in decreasing order.\nAnswer: 5, h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 0.2157.\nAnswer: -5.1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -22092567\/4 bigger than -5523142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*i**3 - 16*i**2 - 21*i - 175183?\nAnswer: -27*i**2 - 32*i - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*o**2 - 7394*b**2 - 2*b*o**2 - 15913*b*o + b - 2*o wrt b.\nAnswer: 6*o**2 - 14788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/480 and (-1)\/(3\/18) + (-1148)\/(-192) + 3.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -1\/8 (c) -480 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 9 + 2*k + 0*k)*(44*k - 112 + 110 + 34*k).\nAnswer: 156*k**2 + 230*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2577*k + 2403*k - 1936 - 2066 = 0 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = -4*z. Suppose q = -3 + z. Suppose q*g + 11 = 3*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 78 = -m + 79, -3 = -2*m - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -11000?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -76*c**5\/35 - 117*c**4\/14 - 82*c**3\/7 - 47*c**2\/7 - 6*c\/7 + 1111. Let x(f) = 0. Calculate f.\nAnswer: -1, -3\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76700 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Let v(h) = -17*h + 356. Let i be v(21). Let y be (-2 - i)*(-2 - -1)*s. Solve y = -c - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 i when four letters picked without replacement from {l: 4, i: 4, h: 6}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42 - 22 - 7 + 31*n**2 + 100 wrt n?\nAnswer: 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454.176s in microseconds?\nAnswer: 7454176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 982, 984, 988, 994, 1002, 1012?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499085 is divided by 124655?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89206.74 milligrams in nanograms?\nAnswer: 89206740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 - 2*k + 4. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9364797 a multiple of 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -623*r - 3084. Let a be x(-5). Solve 2*p - 2 = 2*v, -a*v = -p - 36*v + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 16712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4356*d + 2177*d + 371*d**2 + 2178*d - 1598*d**2.\nAnswer: -1227*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88678 and 6?\nAnswer: 266034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 10, -2\/19, -67, 2\/19 in decreasing order.\nAnswer: 10, 2\/19, -2\/19, -1\/4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n + 4. Let o(d) be the first derivative of d**3\/3 - 3*d**2\/2 + 3*d - 1834. Give -6*i(j) + 7*o(j).\nAnswer: j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 33 = -2*c. Let o = c - -33. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183.60995 - 10.65575. Let t = o - 173. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19517895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -t, 3*t = 5*u - 22. Solve -u*j + 2 - 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/2 + 38*v**3\/3 + 333*v**2\/2 - 211. Find the second derivative of n(k) wrt k.\nAnswer: 12*k + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 8}. What is prob of sequence ih?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - -15. Suppose -w - 74 = -0*q + 2*q, 172 = -5*q + 4*w. Let f = p + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 + -34 - (-1 + 15) is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + n - 694, 4*n - 7*n = 5*s - 702. Suppose -4*o = -9*w + 4*w + 342, 0 = -2*w + o + s. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348575480 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: Calculate prob of sequence haa when three letters picked without replacement from {h: 1, o: 1, u: 3, a: 5, n: 3, x: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j = -48*j - 3439. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/56 + 938\/98?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2\/4)\/((-34)\/(-850)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 8. Let h(w) = -w**2 + 2*w - 7. What is 5*h(p) + 4*i(p)?\nAnswer: -p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -62, -0.3, -2310, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.7 + 0.7. Let i = -14 - c. Let n = 5.2 + i. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 17*i - 145. Calculate the lowest common multiple of 88 and r(7).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1063*d + 4253. Let w be j(4). Sort 0, w, 5, 314, -1 in decreasing order.\nAnswer: 314, 5, w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*j = 25, -4*o = 5*j - 46 - 54. Suppose -o = -f + 314. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0 - 29 - 125 - 71 + (-1 + 1 - 2)*(-1 + 1 - 2))*(-3*y + 4*y + y).\nAnswer: -436*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = -7. Let t be 2 - 8*(-1)\/(-1). Let d(k) = k**3 + 5*k**2 - 5*k + 7. What is the remainder when l is divided by d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -174, -178, -182, -186, -190?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjybjy. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979429 < 8979430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 25*a + 2. Let b be m(22). Let p = b + -552. Solve -h - 37 = -5*q - 5*h, p = -4*q + 5*h + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109897158 divided by 1?\nAnswer: 109897158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {q: 3, l: 1, u: 3, i: 3, p: 1, f: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -37. Let q(x) = x**2 + 7*x - 12. Let k be q(-9). Calculate the greatest common divisor of s and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2274789, 4549421, 6824053, 9098685?\nAnswer: 11373317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2758 - 3570 = 28*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 566 - 238. Let d be ((-24)\/48)\/(f\/(-30)). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 6:52 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3503558233003 and 3?\nAnswer: 3503558233006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40481 or 40514?\nAnswer: 40514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. Suppose 4 + 44 = 12*g. Calculate the lowest common multiple of o and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1210.2, 3\/7, 4\/7, 23?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffjgujg. What is prob of sequence jf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99079884.\nAnswer: 2, 3, 2752219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/2253 or -1?\nAnswer: -34\/2253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 2*a**2 - 7*a**2 - a**2 + 1 - 1 + (4*a + a - 2*a)*(-8*a + 10*a + 19*a).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.6. Let j = 131\/1364 + -118\/341. Which is the closest to p? (a) 0.5 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*i**2 - 270*i**2 + 517*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17781, 17813, 17831, 17829, 17801, 17741, 17643?\n\"Answer: -k**3 - k**2 + 42*k + 17741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let i = y + -2. Let l = 7 + -7. Is i greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 674*k**2 + 432932*k - 1742384 = 0. What is k?\nAnswer: -329, 4, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*n = -939*n + 20691 - 81630 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 27*c**2 - 35*c + 11. Let g(d) = 9*d**2 - 12*d + 4. Let w(u) = 11*g(u) - 4*l(u). What is the second derivative of w(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 17.184.\nAnswer: -5.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 1\/11, 5, -3, -62?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2. Let d(o) = 13*o**2. Determine 3*d(y) - 2*u(y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m + 9. Let p be t(-8). Suppose -d = -5 - 0, 0 = -2*g + 5*d + p. Calculate the common denominator of -137\/18 and (-45)\/(-10)*(-1)\/g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwl when three letters picked without replacement from wnjdljdjddjdflj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = -d + 3*b, -3*b = 3*d - 1002 - 843. Let z = d + -541. Calculate the remainder when 466 is divided by z.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431279 is divided by 1195?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 7462.\nAnswer: 29848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqdzzzzd. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 884440 - -203?\nAnswer: 884643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2 + 22. Let y(o) be the first derivative of o**4\/4 + 2*o**3 - 3*o**2\/2 + 6*o + 1. What are the prime factors of y(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5707 - 0.0593. What is u rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -232116 from 4.\nAnswer: 232120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:28 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, -9, -7\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -5 - 5) + -2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 19*y**2 + 28*y - 24. Calculate the remainder when t(-17) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*u - 85050 = -479*u - 171*u + 277*u for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - 12\/20. Suppose r = -7*q + 3*q - 4. Sort 3, q, 5 in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-3)\/(21 + 8228\/(-396))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - j**2 - j**2)*(39*j - 22*j + 17*j).\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -205. Let t = f + 51. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10686 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Let n(k) = -2*k + 14. Let t be n(6). Suppose t*s - f*i = 6*s - 40, 5*s - i - 20 = 0. Solve w - 3*w - 23 = -5*q, 0 = 4*w + s*q + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 0, 1\/6, 3\/10, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-5)*n)**34*(n**(2\/23))**23 assuming n is positive.\nAnswer: n**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -23. Suppose r = -0 + q. What is the remainder when 28 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y - 7. Let w(h) = 678*h + 56. Let t(d) = -82*d - 7. Let m(p) = -33*t(p) - 4*w(p). Determine 6*m(c) + 5*q(c).\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i**2 - i - 86 - 86 + 13*i**2 + 265 - 95. What is b(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1277*r - 7744. What are the prime factors of w(43)?\nAnswer: 101, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*z**2 - 134*z**2 + 21*z**3 + (0 + 2*z + 0 + (1 + 2 - 2)*(3*z + 3*z - 4*z))*(-7 + 7 - 9*z**2).\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11*(2 + 1 + -2). Suppose 4*w + n - 27 = 0. What is the least common multiple of w and -1 - (3 - -2)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:12 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 - 208 = -4*f. Let s = -86 + f. Suppose -3*h - 36 = -3*q + 744, q - 272 = -s*h. What is the remainder when q is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0*v))\/(v\/(v*v**(-11))*v*v)*v**(-3\/7)*v*v**(2\/5)\/v*v*v)**(-19) assuming v is positive.\nAnswer: v**(7334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 - 23619569*w**3 - 495609543*w wrt w?\nAnswer: -12*w**2 - 141717414*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268839379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/164 and -45\/64.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 221423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/102 + (-39)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/(2\/(-34)). Let g be (-36)\/r - 4\/34. Suppose 5*w - 110 = 3*w - g*n, 3*n - 283 = -5*w. Calculate the remainder when w is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*r + 60 = 41, -5*l = -2*r - 13. Suppose 0*i + 3*c + 705 = i, l*c = 5*i - 3561. What are the prime factors of i?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(3\/2)\/m)\/m)\/(m\/m**(-6\/7)))**25 assuming m is positive.\nAnswer: m**(-475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284 - -284. Suppose 2*x - 4*p - 300 = -x, -4*p = d. What is the greatest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/6 - 2*m**3\/3 + m**2 + 18*m - 30. Let v(n) be the first derivative of h(n). Factor v(x).\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337158557 to the power of 1\/2, to the nearest integer?\nAnswer: 18362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 - 17*l**4\/12 - 10*l**3\/3 + 47*l**2\/2 + 31*l. Calculate the remainder when 681 is divided by y(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2685379 and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-6))\/(1105\/(-850)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829298 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*v. Let q be (v - 15\/(-9))\/((-6)\/(-4)). Which is smaller: 1.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404 and 2222?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5*z - 2401762*u**4*z - 1160072*u + 6*z wrt u.\nAnswer: 60*u**3*z - 28821144*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3454723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294*b**2 - 14*b - 2471*b**2 + 11*b.\nAnswer: -5765*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 641052374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.2497968 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 34 = -3*i. Let x = i + 22. Differentiate 1 + 52*w**x - 58*w**3 + 1 with respect to w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-41)*k)**(1\/77)*(((k*k\/(((k*(k**(-42)*k)\/k)\/k)\/k*k))\/k)\/k)\/k**(-4\/5))**(2\/3) assuming k is positive.\nAnswer: k**(10852\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9971 by -6.\nAnswer: 9971\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*6)\/(1*-3*sqrt(10)) + (-3 + 6*-1*sqrt(35)\/sqrt(7))**2.\nAnswer: 30*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (267 - 353) + (2 - 6 - (-11 - (0 - -2)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1749348 micrometers in meters?\nAnswer: 0.0000001749348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21142975*a*v**2 - 3*a*v + 315*v**2 + 3*v + 3981 with respect to a.\nAnswer: -21142975*v**2 - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363*x - 1607*x + 3904 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11020120 + -11?\nAnswer: 11020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89, -64, 3 in increasing order.\nAnswer: -89, -64, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 136*x**2 - 68*x - 218. What are the prime factors of t(-21)?\nAnswer: 2, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248688286 by -77.\nAnswer: -3229718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + k. Let z be h(-2). Let w(f) = -2*f - 3. Let l be w(-4). Solve 0*s - z = l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1179\/4 in 0, 2\/3, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 82 = g - 83, 0 = p - 2*g - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.192 - -2.192. Sort 12\/5, z, 8 in decreasing order.\nAnswer: 8, 12\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*a - 420016, 5*a - 560004 = a + q. What is a rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101230\/7 + -14724. Let z = d + 263. What is the nearest to -0.2 in 11, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3171 (b) -3 (c) 206\/91 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 8. Suppose 4*i = -t*d - i, 3*i = 12. Let y be (-2)\/(-6) - 95\/105. Which is the second biggest value? (a) 1 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(4*sqrt(9))*1)**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -44. Let n = k - -75. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from jjjjjjdjdjdjddjjdj.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - 0.23. Let z = o + 0. Put 2, 0.2, z in descending order.\nAnswer: 2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -8 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1012\/7 - 145. Which is the second biggest value? (a) 7 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:51 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**6)*g*g*g**(-6))\/((g\/g**(3\/2))\/((g\/((g\/(g*g**(2\/9)*g))\/g)*g*g)\/g)))**(-8))**25 assuming g is positive.\nAnswer: g**(-12100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21072000045)\/(-120) + 6\/(-16). Suppose 7*u + s = 17*u. Round u to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49541 is divided by 381.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5 + 2*k**2 - k**2 - 8*k - 8*k + k. What are the prime factors of y(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2381*a - 1 - a**2 + 2381*a. Let y(b) = 3*b + 0 + 0 - 2*b. What is r(y(p))?\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -1389865 - 366145. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -3*l, -5*f - 1 - 4 = 0. Suppose -11 = -4*d + 2*a - a, -d + 5*a = l. Suppose 0 = 4*y - 0*t + 4*t - 116, -95 = -d*y - t. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-742)\/(-7)*(1 - 2). Let o = -111 + n. Let r(g) = 3*g**3 + 3*g**2 + 5*g + 4. Let s(p) = -3*p**3 - 4*p**2 - 6*p - 5. What is o*r(a) - 4*s(a)?\nAnswer: -3*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 4156.\nAnswer: -1662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2866321738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -10 + 32\/(10496\/(-205))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99858.5 years in millennia?\nAnswer: 99.8585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -a + 17, 3*a + 5*v - 11048 + 11002 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 1239 = 3931. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -84, -132, -192, -264, -348, -444?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 121560?\nAnswer: -121560.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66649 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*g - 808 - 2*g**3 + 4*g**3 + g**4 + 809 to r*g + v*g**3 + w + j*g**2 + f*g**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**7*s))\/s*s*s*s*(s\/(s*(s\/s**(-11))\/s*s))\/s)\/(s**(2\/13)*s**(-5\/2)) assuming s is positive.\nAnswer: s**(-407\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u = 81 + 79 - 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1053) + sqrt(1872) + (sqrt(1872) - sqrt(1872)*-3)).\nAnswer: 2 + 138*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 10*k**2 + 11*k + 1. Let q be h(-9). Let a = q - -42. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120212 + -100?\nAnswer: 120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b*b\/b**4)**(9\/7)*(b*b**(1\/4))**(-21)\/(b**(2\/3)*b)**(-2\/159) assuming b is positive.\nAnswer: b**(-298799\/13356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 8*g - 1. Let z be o(4). Let v(j) = -j**2 + 8*j + 5. Let s be (6\/15)\/(1\/20). Let h be v(s). Sort z, 4, h in descending order.\nAnswer: h, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -0*d + 2*d. Calculate the greatest common factor of 46 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 70799388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 28\/25?\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735740 is divided by 66758.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wza when three letters picked without replacement from {a: 1, w: 2, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 4. Suppose -x*y + 55 = -y. Suppose 88 = -q + 5*q. What is the greatest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(408) + -3*sqrt(408))\/sqrt(8))\/sqrt(3) - sqrt(51)\/(sqrt(36)\/sqrt(3))).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.71 + -12.71. Let r = -17 - x. Which is the smallest value? (a) 1\/4 (b) -1 (c) r (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1770\/(-6785) + (-2763)\/552*-2. Factor 1 + z*s + 45\/2*s**2 - 25\/4*s**3.\nAnswer: -(s - 4)*(5*s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-s + 3*s + 0*s)*(-161*s**2 - 6*s**3 + s**3 + 159*s**2 + 4*s) to the form b*s**4 + m*s + y*s**2 + d + g*s**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 2. Suppose 3*f - 5*s - 3 = 0, -2*s - 30 = -4*f - 4*s. What is the third derivative of -d**6 + d**6 - 4*d**x + d**f + 3*d**2 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 361274 and 111633666?\nAnswer: 111633666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -190 (b) -1\/2 (c) 6 (d) 0.5 (e) 3 (f) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*o - 29. Find the common denominator of -73\/87 and (1\/(o\/274))\/2.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = h - 21. Solve 7*p - 20 = h*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 15*b**2 - 2*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:10 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecftfffc. Give prob of sequence efc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -26 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.2. Let t = -0.1 - s. Let l = -53835\/8 + 6729. Which is the third smallest value? (a) t (b) l (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and -155\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1072133, -1072171, -1072269, -1072457, -1072765, -1073223, -1073861?\n\"Answer: -5*g**3 - 3*g - 1072125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 7268706.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14968 is divided by 4844.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-8)\/45 - 64\/288)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -102*c. Let f be q(-1). Let u = -147 + f. Let l = 64 + u. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 - ((-58 - -29) + 55)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/60 - 3*u**4\/8 + 5*u**3\/3 - 2*u**2. Let i be h(7). Let t = i - -18. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 4*t + 19 + 12*t - 10*t + 7. Let w be l(-6). Solve w*n - n + 1 = 0, -r - 1 = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -159, 25, 1 in decreasing order.\nAnswer: 25, 7, 1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9834\/(-495) - (-4)\/(-30). Let b(a) = 4*a**2 - a - 3. Let d be b(-3). Let f = p + d. What is the highest common factor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -57*n - 412. What is t(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1, -4, 2\/15, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -6. Suppose -6 = 2*d + 2*l, 2*d - a = -3*d + 4*l. Factor -y**4 - 7\/3*y**2 - 2\/3*y - 8\/3*y**3 + d.\nAnswer: -y*(y + 1)**2*(3*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:53 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 5*x**7\/42 + 2*x**4\/3 - 2*x. Find the third derivative of f(m) wrt m.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {i: 3, b: 3, t: 4, s: 3, r: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/525*7\/3)\/(1\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 - 261 - 5 = 25*q + 389 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + 3*u + 4. Let a be q(4). Suppose t + 2*t = a. Let h(j) = -j**3 + j**2 - j - 7. Determine h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 - 185 + 134*u + 333.\nAnswer: 134*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612734.\nAnswer: 2, 306367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4495 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: Expand -i**3 + i**2 - 6*i**4 + 539*i - 539*i + (-17 + 4 + 27)*(1 + 1 - 1)*(2*i + 2 - 2)*(-2*i**3 + 2*i**3 + 2*i**3).\nAnswer: 50*i**4 - i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33233 + 33232. Let w be (2\/(-3))\/((-2)\/3). Sort w, f, -5 in descending order.\nAnswer: w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by 32117\nAnswer: -99\/32117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuuuuwuuuuu. Give prob of sequence ww.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26164 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -79*d + 42. Let l be c(-1). Suppose 3*q - 47 - l = 3*n, -4*q + 2*n = -234. Calculate the remainder when q is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*t + 101, -4*n + 5*t - 155 = -9*n. Let g be (0 + 0 + -6)\/(3 - 2). Let f be -2*1 - (5 + g)*29. What is the greatest common divisor of n and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 - 3 = 0. Suppose 3*o - 14 + 3 = a, -o + 5 = a. Solve o*g = 2*g - 4*v - 4, -3*g + 2 = k*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9745 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7313 and 2575?\nAnswer: 182825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/6)\/(214\/(385200\/100))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546408560 and 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jdhjh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 163 - 328 + m + 171. Let h be 64\/10 - (-2)\/(-5). Let r be s(h). Solve 6*v + r = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22620*w**3 - 40910.\nAnswer: 67860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 159*s - 27560. Calculate j(173).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z + 20 - 4 - 12*z + 4*z. What is the lowest common multiple of b(-2) and 13?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + -1)\/(4\/(-4)). Let t(v) = v**2 - 7*v - 6. What is t(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17442 - 74008 = -775*u for u.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 63*h**2 - h - 2. Let y be j(2). Let g = y + -168. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 3. Let z(s) be the third derivative of s**4\/8 - 3*s**3\/2 + s**2. Calculate -7*j(c) + 2*z(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:43 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 7. Let x be (2 - 1) + -1*2. Let w = x + 0. Let r(t) = -t - 1. Calculate w*l(q) - 6*r(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 11*j + 7 + 0*j**3 + 12*j**2 - j**3 - 14*j**2 in the form r*j**3 + d + k*j**2 + f*j and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u**(1\/4)*u**1*(u\/u**(3\/7))\/u)\/((u\/(u**(-1\/3)\/u*u)*u*u*u)**(-1))**(2\/21) assuming u is positive.\nAnswer: u**(61\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*r + 176, 91 = -l - r + 1. Let o = 140 - l. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 223*y - 1793. Give z(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95202312 divided by 5010648?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -13, -1030\/11, -98?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -62, 3, 94, 211?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5933 = 2*h - 0*h - z, -5947 = -2*h - z. Does 237 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -25) + 0 - 0 - (-166 + (74 - -83))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -1)\/((-3)\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 16*b - 37. Let h be q(5). What is the tens digit of h\/(-35) + (-9954)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1300 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 5*f - 63. What is the common denominator of ((-59)\/3)\/(f\/9) and -7\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24349, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -4 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/180 and -7\/67383?\nAnswer: 1347660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1067725*-0.1\nAnswer: 106772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -54, -51, -46?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, k: 10}. Give prob of sequence ss.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 8. Let c be h(-4). Solve c = -4*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) - (-16)\/9. Let k be (g + -1)*(1 + 4). Suppose w = -15 - k. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*(f**(-7)*f)\/f)*f)**(-1\/45)*f\/((f*f*f*f**(-4)*f)\/f)*f**20 assuming f is positive.\nAnswer: f**(983\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197985 or -197984?\nAnswer: -197985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:41 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 60\/275551?\nAnswer: 60\/275551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 626266, 626268, 626270?\n\"Answer: 2*c + 626264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((10324\/(-178))\/(1\/2)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t = 103*t + 4*n - 24, -3*t + 3*n = 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36006?\nAnswer: 2, 3, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -24\/7 (b) 2 (c) -0.1 (d) -6 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 46*w**2 - 25*w + 138. What is the tens digit of h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r - 11*r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, -3*y = -5*y - 3*j + 10. Let w = 4.28176 - 4.28176. Let x = -5 - -5.3. Which is the closest to w? (a) 4 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6))\/((-13)\/39). Suppose 4 = 3*l - s. What is the third derivative of -29*g**l - g + 16*g**2 + 17*g**3 + g wrt g?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 51975 = 15*j + 46*j. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-275)\/(-1320))\/((2\/(-9))\/(14\/(-21))*-1)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -0.1392?\nAnswer: -1.5392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + 5)) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*(-16)\/(-10)*3940\/(-1576)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12972067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 16) to base 11.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6644, 6558, 6366, 6014, 5448?\n\"Answer: -9*z**3 + z**2 - 26*z + 6678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = a + 7, 5*o + 13 = a + 36. Suppose -4*p - 4 = -o*u, -5 = -5*p + 3*u - 2. Let w be -5 - -4 - ((-14)\/1 + -3). Solve -c + w = p*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 309?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8869 rounded to the nearest 100?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/4 - 54403*d - 2959686409 = 0.\nAnswer: -108806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*17.48.\nAnswer: -19.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-168))\/((4\/28)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6. Let h = 15\/1177 - 166257\/23540. Let i = -34\/5 - h. Do i and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**2 - 2*o - 12. Let w be u(-4). Suppose 7*f - 2 = w. Calculate the remainder when 33 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46641.\nAnswer: 3, 7, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*(sqrt(117) + sqrt(117)*2))\/(sqrt(81) - (sqrt(81) + sqrt(81) + (sqrt(81) - (sqrt(81)*1 + sqrt(81) - sqrt(81))))*-6)*3)**2*4.\nAnswer: 900\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2147, -17304, -58465, -138632, -270807, -467992, -743189?\nAnswer: -1109400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263484*p**2 - 2*p - 666292*p**2 + 2*p.\nAnswer: -929776*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 17 = -3*g + 11, g - 3*u + 14 = 0. Which is bigger: -28 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248612 + -7405. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -980, -1 in ascending order.\nAnswer: -980, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - o**2 + 5*o. Let t(q) be the third derivative of q**6\/60 + q**5\/60 - q**4\/6 + 6*q**2 - 20. What is 5*p(i) + 6*t(i)?\nAnswer: -3*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 336*(2 + (-12)\/4). Let q(m) = 12*m**2 + 3*m + 3. What is the remainder when q(-2) is divided by (-10)\/4*o\/70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 8\/7, 2\/7 in descending order.\nAnswer: 8\/7, 2\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**1)*r))\/(r*r*r\/(r\/(r\/r**(-6)))))\/(r**4*r*r*r**(-2\/11)) assuming r is positive.\nAnswer: r**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76496986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 36*g - 1721. Calculate h(-46).\nAnswer: -1261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7423 is divided by 1109.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*g**4 + 55641*g**3 - 352719*g**2 - 287949*g + 120372 = 0. Calculate g.\nAnswer: -1433, -1, 4\/13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -22.13. Let j = 0.23 - z. Let l = 39 + -39. What is the second biggest value in -2\/7, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115641 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03624 + -0.17486. Let w = s - -0.0041. Let g = w + 1.077. Round g to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8570 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10426.08 + -10426. What is the smallest value in t, 4, 1, 0.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -38. What is the lowest common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63446238 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2181 - 2171. Let g(j) be the first derivative of j**3 - 14*j**2 + 3*j + 1. What is the tens digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(4\/(-30)). Suppose -4 - 6 = -2*x. Let i(g) = 5*g - 7*g - g + x + 2*g. Calculate i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3 + 183862*o**2 - 8451492620*o + 16902249800 = 0.\nAnswer: 2, 91930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcnn when four letters picked without replacement from {z: 3, p: 3, c: 1, n: 7}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 w, and 1 m when four letters picked without replacement from {u: 14, m: 1, w: 5}?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -6) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -90, 1.\nAnswer: -90, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 11128 (c) -9702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-2 - -2 - -3). Let d be p + 1\/(-1) - 2. Suppose d = b - 0*b. Solve -b*t - 4 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-215)\/(-45) + -5 + (-839)\/(-9) and 15?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 9 (b) 3\/5 (c) -2 (d) -3 (e) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 17 - 3. Let i = g - 1. Suppose -2*r - 92 = -i*n, 4*n - 3*n - 17 = -r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 11*g + 10. Let j be i(-10). Let s = 25\/46 - 1\/23. Which is the biggest value? (a) 3 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-30))\/(18\/(-225))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*n + 20, -n - 16 = -5*n - 5*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let f(u) = u**2 + 4*u + 3. Let q be f(-3). Let s(k) = 1 + 2*k - 1 + q*k. Determine s(w(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 + 7.77. Let n = -0.63 - x. Put n, 0.03, 4, 0.2 in decreasing order.\nAnswer: 4, 0.2, 0.03, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 15) to base 8\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721827711 = -10*v + 1020496469. Let g = v + -101132418. What is g rounded to the nearest one million?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -72, -68, -10, 120, 340, 668, 1122?\n\"Answer: 3*h**3 - 53*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26 - (8 - 4)) + 2. Let u be 9\/(-21) - (-268)\/y. Let j be (8\/30)\/(4\/u). Sort 1\/4, -0.3, j in increasing order.\nAnswer: j, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 217 + 207*g**3.\nAnswer: 207*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Let x = 0 - -3. Let a be x*2 - (4 + -2). Solve 0 = -h*f + 7*f + a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -823, -713, -605, -499?\n\"Answer: -r**2 + 113*r - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1902, -3591, -5280?\nAnswer: -6969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4466 and 4004?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (8 - (9 - 13)) - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 802*o - 21*o**3 + 29*o**3 - 53*o**2.\nAnswer: -5*o**3 - 53*o**2 - 802*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*k - 1247 = 643 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:28 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, x: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14 - 60079\/4115?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 = -153*v - 1005 - 2511 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (sqrt(275) - sqrt(11)) - (sqrt(11)*1 + 5)).\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*f = -376 + 106, 2*x + 3*f = 254. Let y = x - 128. Solve -y*w + 43 = 37 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 0, -13148796 in ascending order.\nAnswer: -13148796, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/707 (b) -0.21 (c) -2 (d) -4 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.75 - -5.8. Let i = -0.05 + o. Which is the nearest to i? (a) -4 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 9*s - 2*w - 105 = 0, -12*s + 10*s - 70 = 3*w for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*m*r**2 - 5*m*r + 771*r**2 - 6*r wrt m.\nAnswer: -89*r**2 - 5*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 84.456, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424 and 173906?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.05, 2\/11, 1\/2, -2\/9, -8, 0.3, 0.196?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000100110011 + -100?\nAnswer: -1011000100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 + -1?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (sqrt(130)*3*2)\/(sqrt(360) - (4*sqrt(360) + sqrt(360))))**2.\nAnswer: 5*sqrt(13) + 413\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 2, d: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 2*d - 4. Let c be a(-2). Let u be (1 - 10\/6) + (-8)\/c. Suppose u = -7*m + 2*m + 25. Solve -m*y - 21 = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -1 - (59 - 1). Let p = 176\/329 + -5\/47. What is the common denominator of p and y\/(-2) - (-2)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -121*l**6\/120 - 73*l**3 - 2*l**2 + 48. Differentiate c(o) with respect to o.\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-32 + 4 + 3)*(-u - 4 + 2 - 2).\nAnswer: 50*u + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021 (base 3) to base 11.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10285144 and 25712860.\nAnswer: 51425720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*c*f**3*j**2 - 1134578*c*f**3 - 5*c*f**2 + c*f*j**2 - 6*f**2 + 289*j**2 - 35 wrt f.\nAnswer: -480*c*j**2 - 6807468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 6*c**2 + 807*c - 1624. Calculate o(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*r + 65*r + 159*r.\nAnswer: 360*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, 0, 48257?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2795783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*24\/(-588))\/(0 + (-68)\/(-14)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlols. What is prob of sequence sx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(-6)\/(-4). What are the prime factors of (5\/(-15))\/(g\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 + 36*a**2\/7 - 88*a\/7.\nAnswer: 4*a*(a - 2)*(a + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4397347997 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1865, 2536, 1847, -202, -3611, -8380, -14509?\n\"Answer: -680*p**2 + 2711*p - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 7, b: 5}. What is prob of picking 1 l, 1 f, and 2 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/126 and -41\/86835.\nAnswer: 521010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**2 - 387*c + 75. Calculate i(-43).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.9 - 71.1. Let w = 4 - 6. What is the nearest to -1\/4 in w, -1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, -4, -114, 5 in decreasing order.\nAnswer: 5, 1, 0, -3, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -816.07935 + 815.8. Let g = 74 - 74.28. Let t = i - g. What is t rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n - 6. Suppose 0 = -4*j + n*j + 54. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286319 take away 0.2?\nAnswer: 286318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*a, -5*a = 3*c + 404. Suppose 9705 + 12683 = 116*f. Let b = f + c. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/8)\/15*(-9 - -1). Let n(d) = -26*d - 5. Give n(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-5944)\/(-4) + -3 + 2 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 18. Let k be q(-5). Let v be (-9)\/(-6)*5\/((-30)\/k). Let t(p) = -2*p - 2. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-3)\/3*3. Suppose 2*g + 12 = 3*s, -k*s + 7*g + 3 = 2*g. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57881 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2201 + -6347?\nAnswer: -10550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.6 (b) -4\/59 (c) -1\/24 (d) 5 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4*s + 35*r**4 + 9*r**3*s + r**3 + 5*r**2*s + 11661*r**2 - 3*r wrt r?\nAnswer: -48*r*s + 840*r + 54*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-87)\/(-6))\/(-1). Suppose -5*j = -x + 4. Solve j*v = -1 - 9, -d = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.03, -0.5, -0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 o when three letters picked without replacement from {y: 2, o: 1, z: 4, m: 12}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 5*g**2 + 5*g + 6. Let t be i(-3). Let k be (0\/(-3))\/3 - t. Let n = 28 - k. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 6*u + 5. Let z be y(6). Suppose 0 = -z*n - 20, -7*t - 3*n = -3*t - 20. Find the second derivative of 9*o - 2*o + 5*o**2 + o + t*o**2 wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367 divided by 1\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 - 6*n**2 + 4*n - 16*n**3 + 17*n**3 + 4 + 4*n**2. What is the lowest common multiple of b(-2) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43408822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - i + 11. Let g be y(0). Suppose -g*o = -7*o - 48. Which is greater: o or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/11264 and -35\/2?\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzlzzzl. What is prob of sequence lzlz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**8\/1008 + q**7\/315 + q**6\/60 - 2*q**5\/45 - 5*q**4\/72 + q**3\/3 - 95*q**2 - q. Determine u, given that l(u) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3328 by 52.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 5. Let k(a) = -a - 2. Let w(q) = -2*d(q) + 5*k(q). Let y(c) = -11*c + 9. Let s(t) = -3*t + 2. Let h(z) = -9*s(z) + 2*y(z). Give w(h(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(sqrt(5808)*-2 - sqrt(5808))*-5 - (sqrt(5808) - (sqrt(5808) + (sqrt(5808) - 2*sqrt(5808)) + 1))*-4)*-3)**2.\nAnswer: -70672032 - 164736*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 92051840?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08511178 rounded to 4 dps?\nAnswer: -0.0851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -18.02. Let m = 33 + b. Let k = m + -15.24. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, d: 3}. What is prob of picking 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -8853\/19339 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-4)\/6 - (-2397)\/(-36). Let x = 6317\/100 + f. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25042711?\nAnswer: 3469, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32153321 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-15) + (-2)\/(-3). Let i be t\/6*(-129 + 2). Let g = i + -491\/15. Find the common denominator of 3\/5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1583, 2, 3176.\nAnswer: 2, 3, 1583, 3176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 + 2. What are the prime factors of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -10. Suppose 160 = 3*m - t, 3*t - 2*t = h. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/4 - 8*p**3 - 96*p**2 - 46*p. Solve r(d) = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from orooroooororr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2851 - 20479 = -992*w + 11390 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175919*b - 31*b**2 - 175919*b.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**2*m**4 - 17*l**2*m - 10*l*m**3 + 26*m**4 - 4*m**2 wrt m.\nAnswer: 48*l**2*m - 60*l + 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -836 (b) -52 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(1080\/(-189))*((-1)\/(-30))\/(5\/(-10))?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 473825686 * 0.4\nAnswer: 189530274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*s - 12, -4*k + 2*s + 1 = k. Let r(a) = a + 7. Let d be r(0). Let q = d + k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*t**2 + 34*t**2 - 23*t**2.\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8687 + -8365. Solve 5*u + t = 51*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 - 13*v - 3. Let s(w) be the first derivative of w**2\/2 - 43561. Give u(s(n)).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4876469 - -0.0072?\nAnswer: -4876468.9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3227*i**2*o**2 + 122*i**2 - 3*i*o wrt o?\nAnswer: 6454*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13474, -3, 2, -315.\nAnswer: -315, -3, 1, 2, 13474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502642?\nAnswer: 2, 7, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.37 (c) 0.29 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q = -39*q - 524 - 232 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 275*s + 3 - 275*s - 7*s**4 + (-14*s + 14*s + 2*s**4)*(-3 + 0 + 4).\nAnswer: -5*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 q when four letters picked without replacement from {k: 12, b: 6, q: 1}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.0760097 microseconds to days.\nAnswer: 0.00000000029023159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 4 (c) 2030\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-3282)\/12)\/((-2)\/140). Let t = -13222 + w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*t + 1527*t - 5733*t - 3615*t.\nAnswer: -9110*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29069 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let i(l) be the third derivative of 0*l**3 + 167*l**2 + 161\/60*l**5 + 0*l + 0 + 0*l**4. Calculate i(n(r)).\nAnswer: 644*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7880 and 5\/8.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**(-1\/6)*(c\/((c**(3\/10)\/c)\/c))\/c**(4\/5) assuming c is positive.\nAnswer: c**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 875 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, s: 6}. What is prob of picking 3 w?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10.8. Let o = -0.1 + r. Which is the closest to 0.1? (a) o (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45 + -3.55. Let r = -1 + 1.4. Sort r, -5, n in ascending order.\nAnswer: -5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p**2 + 58*p**2 - 118*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233.21 - 231. Let z = 16.9 + -16.69. Let d = v - z. Which is the closest to d? (a) -1 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33497 and 68.\nAnswer: -33429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let v be (0 - -1) + 5 + u. Let s be (-3)\/(-30)*v*5. Solve 4*n - 6 = s*g, -2*n = -4*g + 2*g - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 10*j + 28, h + 22 = 5*j + 46 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*n - 1. What is the units digit of n\/(2*(-2)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7998 - 520. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(25\/(-1) + -1). Calculate the highest common factor of h and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let l = 19 - -142. Let h = l + -1451\/9. What is the closest to -3 in -3\/2, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -377*n + 140. What is p(1)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -356.0000023 + 356. Round s to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21596849800 to the nearest 1000000.\nAnswer: -21597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -111*m + 113*m - 5746, 8*t - 8671 = -3*m. List the prime factors of m.\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. Let l(u) = -4. What is 2*a(m) - 3*l(m)?\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 1 + 1)**2 + (sqrt(8)*5)**2 + sqrt(22)\/(sqrt(11)*2).\nAnswer: 33*sqrt(2)\/2 + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*w**2 - 1 - 1 - 4 + 0*w**2 - 2*w**2 - 19*w wrt w.\nAnswer: 6*w - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 543\/2 + -3807\/14. What is the biggest value in 52, 0.5, 5\/2, g?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554621 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 22 (b) 3\/5 (c) -3.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**2 - 8173032*d - 3269216.\nAnswer: 4*(d - 408652)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 36 = -131. Let l = -621 - x. Let a = l - -248. Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/7 + 13793768*l\/7 + 23783504454728\/7 = 0?\nAnswer: -3448442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 568? (a) -2\/7 (b) -0.5 (c) 4\/7 (d) -2\/17 (e) -4 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*m**5 - 966*m**4 + 2280*m**3 - 2256*m**2 + 816*m - 96 = 0. What is m?\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 144038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j - 7. Suppose 2*q + 14 = -c, -2*q + 21 = -5*q - 3*c. Let y(p) = 2*p**2 + 1. What is the remainder when x(q) is divided by y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 + 8*t - 33. Let v(z) = -43*z**2 + 47*z - 196. Let y(a) = -13*s(a) + 2*v(a). Differentiate y(p) with respect to p.\nAnswer: 10*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f847d - 2?\nAnswer: f847b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/27)*r)\/(r*r**(-2\/7)))\/(r**(-10)\/(r\/((r**(1\/13)*r)\/r)*r*r)))**31 assuming r is positive.\nAnswer: r**(1000432\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96479512.\nAnswer: 2, 12059939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l + 3. Let h be o(1). Let u be 3*4*(-3)\/9. Which is the nearest to 0? (a) h (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -48\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 327, 411, 495?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/76677 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 3. Let l(z) = 5*z + 4 - 1 - 4*z + 1. Let m(r) = r**3 - 25*r**2 - 28*r + 58. Suppose 3*a - 30 = 48. Let t be m(a). What is t*s(g) + 5*l(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 4, 190, 103 in ascending order.\nAnswer: -44, 4, 103, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 389887487 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o. Let q(i) = -1071*i**2 + 1890*i + 756. Let x(m) = -4*m**2 - 5*m - 2. Let y(c) = -q(c) - 378*x(c). Determine y(d(w)).\nAnswer: 41328*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3042 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -228*g**2 + 202?\nAnswer: -456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from nqqruuurtutnu.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726878657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(4 - (-1 + 3)) + 6. Solve -9*x + a + 3 = -6*x, f = -2*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -33. Find the common denominator of (-1 - (-48)\/(-5)) + 1 and ((-184)\/(-6))\/(-12 + p).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170\/131 or -1?\nAnswer: -170\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -8*o**5\/3 + 2338*o**4\/3 + 2170*o**3 - 5812*o**2\/3 - 25912*o\/3 - 4720 = 0?\nAnswer: -2, -3\/4, 2, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -23*t**2 - 16*t**2 + 68*t**2. Let d(y) = -26*y**2. Give g(d(k)).\nAnswer: 19604*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 20, 5*p = -u - u + 153. Suppose 0 = 4*z - p - 87. Let h = z - -18. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073.813ug in grams?\nAnswer: 0.002073813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-3))\/(-1))\/(30\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 - 3*k**2 - 4*k + 7. Let j be v(1). Solve -403*o = -409*o - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**2 + 12*v - 35. Let t be c(5). Let s = t - -49. Let h = s + 77. Calculate the least common multiple of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/266 and 79\/762622.\nAnswer: 762622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -122199*t. Let l(s) = -s**2 - 591*s. Calculate n(l(k)).\nAnswer: 122199*k**2 + 72219609*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 1074*f**3 + 1060*f**3 + f**2.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 0, -2*p - 2*p - 20 = 4*w. Sort -9, p, 0, -2.\nAnswer: -9, p, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + h - 4*h = -18, 0 = 4*l + h - 33. Let q = l + -5. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 202489, -5, -1 in descending order.\nAnswer: 202489, 1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37*(2\/22)\/1 and (476\/(-42))\/((-8)\/30).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5064820*k*w**2 - 2950*k*w + 707*k wrt w?\nAnswer: 10129640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242602 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -253.6717 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*u**2 + 6*u**2 + 214*u + 22*u**2 - 213*u + (0*u + u - 2*u)*(4 - 2*u - 4) to the form t + v*u + i*u**2 and give i.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91261 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/2 + 27*b**4\/2 + 89*b**3\/2 - 927*b**2\/2 + 406*b = 0 for b.\nAnswer: -7, 0, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.2, -5\/83, 53, -3, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15149138*d**2 + d - 122714240?\nAnswer: 30298276*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 589100066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 - -288. Let h = z + -128. Which is the closest to -4? (a) 1\/10 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -774.633676 to 1 decimal place.\nAnswer: -774.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.11 - -1?\nAnswer: 164.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5623\/31 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21771, 3\/16, 4, 2\/5, 5\/3, -5.\nAnswer: -21771, -5, 3\/16, 2\/5, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 + 1065\/20. Let s = j - 32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/6 - s**2 - 19*s. Give h(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 50*n - 120.\nAnswer: -5*(n + 4)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-12)\/((6\/8)\/((-441)\/168)) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + g**3 - 4*g - 5*g**2 + 18 - 9 - 11 to the form n*g + j*g**3 + i + a*g**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-18) + 4\/(-18). Let a = -0.034 - -0.134. What is the nearest to 1\/4 in v, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87a9f (base 16) to base 2.\nAnswer: -10000111101010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37054882 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133721 is divided by 1408?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26935*0.15\nAnswer: 4040.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 58*h - 41. Let m be k(-20). Let d be (3\/(-21))\/(m\/2). Let n = -1.3 - 3.7. Which is the closest to 0.1? (a) d (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 0.3, 0, -53097, -65, 5, -0.1?\nAnswer: -53097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12684\/126 - (280\/(-3))\/28?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60374, -120963, -181800, -242885, -304218?\nAnswer: -365799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7529780?\nAnswer: 2, 5, 383, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40619 and 906?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + c + 421. Let t(k) = 2*k**2 - 3. Give -4*t(o) - 7*y(o).\nAnswer: -o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 120.009. Let u = -0.0491 + q. What is u rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 5*s, -4*s + 3*q - 1 = -3. Suppose 0 = s*i - 89 - 91. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 89, 145, 219, 317, 445, 609, 815?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -8*m + 9*c - 168, m + 12*c - 29 = -50 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 25*h**2 - h - 1. Let x be g(-1). Suppose 28*j - 180 = x*j. Suppose -15*q = -20*q - j. Do -11 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185581491.\nAnswer: 3, 59, 67, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 11*p = -5*h + 3355, 3*h + 3*p = 2031. Suppose -3*i + 0*v + h = v, -5*i - v = -1120. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o - 27. Let s be j(-7). Let c = -41 + s. Factor -15*b + 6*b**4 - 5*b**3 - b**4 + 5*b**c - 29*b**2 - b**2.\nAnswer: 5*b*(b - 3)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k\/k**(2\/107))\/k*k**(-4\/7)*k*k)\/(k**(-9\/2)\/k*k*k*(k*(k\/(k**(-16)*k*k*k*k))\/k)\/k) assuming k is positive.\nAnswer: k**(-6127\/1498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3289)\/1265*(-5)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -22, -4, 30 in decreasing order.\nAnswer: 30, -3, -4, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657.42315 - 2.61338.\nAnswer: -660.03653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/6, 0.06, -0.21, 3, 11.986?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2042*u + 218 = 2*a + 2039*u, a + 5*u = -359 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 12 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.7 + -0.7. Let y = 18.9 - k. Let m = -1 - -0.8. What is the nearest to m in y, -0.4, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29968 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -100?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00805 rounded to 4 decimal places?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216447, 1731439, 5843565, 13851393, 27053491, 46748427, 74234769?\n\"Answer: 216428*b**3 - b**2 - b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2930 + -1149. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u - 2 = 0. Let l be -7 + 4*(-5 - -6). What is the nearest to 1\/3 in 2, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199485 less than 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969 and 249275250.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 91 = -h, -c - 5 + 8 = 0. Is 50 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10462, -41680, -93650, -166372, -259846?\nAnswer: -374072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwwwwwwuu?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or 649588?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -4818, 2 in descending order.\nAnswer: 2, -105, -4818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - g + 0*g + (-4 + 4 + 2)*(-g + g - 3*g) + 12*g + g + 32*g to y + d*g and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceufggcceefuuefuwcuc. Give prob of picking 1 e and 1 w.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1550 + -6149\/4. Which is smaller: 14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 4) + (-8 - 1 - (-727 + 691))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 2*t + 1. Let m be n(1). Suppose -3*b = -5*f + 9, -m*f + 2*b = 28 - 30. Solve f*q - 8*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-132)\/756 - (-2)\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 19 - 87. Let j be ((-5)\/(-7))\/((-2)\/(-14)). Suppose -3*v = -0*v + n - 457, -2*v = j*n - 296. What is the greatest common divisor of a and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.3, -309, 3\/16, 4 in increasing order.\nAnswer: -309, -5\/4, 3\/16, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1599, -6041, -13369, -23577, -36659, -52609, -71421?\n\"Answer: l**3 - 1449*l**2 - 102*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 9*a**4\/4 - a**3\/2 - 3*a + 2. Let s(p) = -7*p**2 + p. Give -4*n(g) - 15*s(g).\nAnswer: -3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171708 is divided by 2489?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128477 is divided by 32074.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.288 * -24.\nAnswer: 222.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23142\/28915 - -2\/5783. Which is the second biggest value? (a) -7\/6 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1731 (base 9) to base 8.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 999. What are the prime factors of t(-49)?\nAnswer: 2, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6854.308ng to micrograms.\nAnswer: 6.854308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6772883, 13545691, 20318499, 27091307, 33864115?\n\"Answer: 6772808*k + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.3 - 13.3. Let j = -0.14 + -7.86. Let m = j - n. What is the biggest value in -4, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1276.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 48940*q + 1957579. Determine a(-40).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 39*y**2 + 61*y + 3. Calculate the remainder when o(-5) is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 + 828\/7. Sort 2, 0, m in increasing order.\nAnswer: 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18243825 and -47\/47433945.\nAnswer: 237169725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3042989\/278 - 10946. Which is greater: 0.5 or l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35471040, -70942084, -106413128, -141884172?\nAnswer: -177355216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2303, 2077, 1455, 239, -1769, -4767?\nAnswer: -8953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:21 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 + 2*f - 3. Let o be y(-2). Suppose -64 = -4*a + 2*t, 26 = 2*a - 2*t - 2*t. Solve a*w = o*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -23?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycccpyccpcc. What is prob of sequence py?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f - 5. Suppose 0 = -2*r + f + 13. Suppose r*l = 712 + 8. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 3845*k - 1333*k)*(-1 + 1 - k) as h + n*k**2 + s*k and give n.\nAnswer: -2512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37522189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16982783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let k be y(-2). Let n be ((-10)\/(-42))\/((-688)\/7488 - (-147)\/637). Does n = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 392 = 3988. Calculate the remainder when 658 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -37*g - 273 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/48 (b) -2\/5 (c) 0.14 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 818\/5 (c) 0 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 18 = -l. Sort l, -3, 3 in increasing order.\nAnswer: l, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - sqrt(104)*-3)*-5 - 2*(sqrt(104) - (sqrt(104) - -4*sqrt(104))))\/(-3*sqrt(64)\/(sqrt(968) + 4*sqrt(968))).\nAnswer: -1595*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/((s*s**(3\/2))\/s)))))**(-15)*(s**(-2\/7))**(-22) assuming s is positive.\nAnswer: s**(-227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6192277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5296 by -1058.\nAnswer: 2648\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5271835 or 5271848?\nAnswer: 5271835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -2554492353?\nAnswer: 2554492358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 32274267*l + 32274266*l - 63, 3*l + 20 = -2*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.317 from -666867350.\nAnswer: -666867351.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111706 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-2)\/6)\/(-16 - (-30365862)\/1897866) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:16 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266*(-18)\/(-60)*(10\/(-25))\/(24\/(-100)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 1.08. Let u = m + 0.1. Let o = -2 + u. Put -5\/4, -0.1, o in ascending order.\nAnswer: -5\/4, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -5, -4, 0.1, -118?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9275963633?\nAnswer: 9275963633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13905744.43 + 0.1?\nAnswer: 13905744.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**5 - i**4 + 19*i**3 - 8*i**2 - 18*i - 9. Suppose 11*p = -35 - 9. Let t(h) = h**4 - h**3 + h + 1. Let v(q) = p*a(q) - 36*t(q). Factor v(b).\nAnswer: 4*b*(b - 9)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*q - 4, 5*q - 2*o - 24 = -o. What is the highest common divisor of q and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278978.7um to millimeters.\nAnswer: 278.9787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139749 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -351*l + 5643. Determine i(16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 5*m**2 - 3*m + 2. Calculate z(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 34*r**2 - 158*r - 428. Determine h(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:42 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + (-1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26011 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1175\/2 - 574. Is i < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 6 = -11*g, -d + 5*g = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1098044, 2196006, 3293968, 4391930, 5489892, 6587854?\n\"Answer: 1097962*a + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 + 94*w - 96*w + 252*w + 0. Let k(y) = -y - 1. Let s(o) = 4*k(o) - m(o). Is s(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3 - 2 + 6*x**2 - 4*x**2 + 0 + 6*x. Give u(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 54. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 5*b - 12. Give f(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 174*r**3 + 180*r**3 - 7*r + 3*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 893139577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 11*b**2\/2 + 20*b + 606. Determine q(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-190))\/(16\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -0.27. What is the nearest to n in -3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1754\nAnswer: -3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*q + 4*i + 41, 5 = -5*i for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 11. Let j be 1*(-34)\/(-8) - 3\/12. Find the first derivative of -3*s**4 + 6 - 2 + u*s**4 - 10*s**j wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253568971 <= 253568970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2682 - 2678. Solve t = -p*h + 18, -2*h = -30*t + 29*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 7*o + 3*o as r*o + t and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 101*d**2 + 179*d - 1528. List the prime factors of i(9).\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 8*y - 12. Let x be c(-7). Let i(d) = -36*d. Let l be i(x). What is the tens digit of (32\/(-10))\/((-8)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 6702.\nAnswer: 6701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {l: 5, o: 3, d: 4, f: 1, m: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6)*414\/(-27). Suppose r = 19*n - 53. Solve n*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -316, -578, -842, -1108, -1376?\n\"Answer: -s**2 - 257*s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -159103523?\nAnswer: 11137246.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104051423 - 1041?\nAnswer: 104050342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**3 + 4*u**2 - 29*u + 1. Is h(6) 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 6:22 AM and 4:49 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76806133.09 and 3622.\nAnswer: 76809755.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 1291 = -67. Is b bigger than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - 119. Let j = 20\/69 + 24\/23. Which is the second biggest value? (a) v (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 1. Suppose w - 7 = 2*h + 3, -w + 22 = -5*h. Let k be i(w). Suppose -5*b - 5*g = 30, 5*g = k - 15. Is b greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z + 2. Let s be g(-4). Let j = s - 9. Suppose 3*m + 5*l - j = 0, 0 + 2 = -5*m + 2*l. Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90491 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114979365451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -818.36 rounded to the nearest integer?\nAnswer: -818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 230 and -13.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 4*i - 6*i)*(-i + 1 - 1)*((1 - 1 + i)*(-3*i**2 + 4*i**2 - 3*i**2) + 6*i**3 - 3*i**3 - 4*i**3).\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -4\/823\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*p - 2, p = -5*t - 2*p + 22. Suppose -3*n = 6, 2*n + t = 2*b - 12. Solve 4*u - y + 2 = -13, -u = -b*y - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2.13.\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.45722 and -0.11.\nAnswer: 3.2402942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*x + 8306 + 8939 + 4491 + 3560 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*2\/(8 + -2). Solve -l*j - 2*h - 8 = 0, -j - 4 + 2 = -5*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = u, -4*u - w + 17 = 0. Solve -y + u = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24386467 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/4)\/(((-255)\/(-72))\/1))\/(-1)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from svsxww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 11*i**2 - 12*i + 3. Let l be h(-6). Let r = 115 + l. Calculate the lowest common multiple of r and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - ((sqrt(600)*1 - sqrt(24)) + sqrt(24)))\/sqrt(2)*4)\/(6*6*sqrt(36)\/sqrt(144)) + 5)**2.\nAnswer: -160*sqrt(3)\/9 + 931\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18*f**2 - 111*f + 21. Let n(l) = -l**2 + 5*l - 1. Calculate -63*n(c) - 3*q(c).\nAnswer: 9*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2803927*a - 19*a**5 + 112 + 2803927*a - 19*a**2 + 143*a**4 wrt a.\nAnswer: -1140*a**2 + 3432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*u - 149 = 263346*h - 263344*h, 41*u = -2*h - 1265 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17084101.97 and 1199.\nAnswer: 17085300.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5215479, -20861950, -46939407, -83447850, -130387279?\n\"Answer: -5215493*b**2 + 8*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1409*z + 1426*z - u - 38, 0 = -2*z - 2*u - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 + -33?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 49. Suppose 4*p + 10 = 3*k, -4*p - 4*k = p - 3. Which is the biggest value? (a) d (b) p (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 50*s + 106. Let w(d) = 41*d - 105. Calculate 5*c(n) + 6*w(n).\nAnswer: -5*n**2 - 4*n - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - q + 44. Let x(h) be the first derivative of -17\/5*h**5 + 0*h**q + 0*h + 10\/3*h**3 + 0*h**2 - 14. What is the third derivative of x(i) wrt i?\nAnswer: -408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and -2575.4?\nAnswer: 2575.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2924 + -2907 + 1 + (28 - 0)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 587\/6 - 4097\/42. Which is the nearest to 10? (a) o (b) 2\/13 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.862 + -0.92. Let b = u + -0.442. Let x(p) = -p**2 + 24*p + 84. Let s be x(27). Sort b, s, 0.1, 0 in decreasing order.\nAnswer: s, 0.1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -1 + 15. Suppose -5*m - 5*q = -13 - l, -4*q - 24 = -5*m. Which is the closest to 5? (a) -3 (b) -4\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*n**3 - 7*n**3 + 21*n**3.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6045 - 200?\nAnswer: -6245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 51*s - 4*b = -58, 0 = 16*s + 4*b - 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218\/21 + 26\/3. Calculate the common denominator of n and -24\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2505, 1737, -2301, -9609, -20187, -34035?\nAnswer: -51153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:15 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.09 - -37.089998279. What is u rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7202, -7210, -7230, -7268, -7330?\n\"Answer: -m**3 - m - 7200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/((-6)\/(-124)). Let x be -1 + 14*(-1 + 5). Suppose l - x = -2*l + 2*w, -2*l - 5*w = -j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6216660 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054511 to five dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -10 (c) 1\/6 (d) -14 (e) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 82\/(0 + 2 + (-3 - -3)). Let h = p + -12. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 2*i**3 - 13 + 526*i - 526*i - 130 to the form l*i + a*i**3 + f*i**2 + z and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*b**2 + b)*(72 - 82 + 76) as s*b**2 + m*b + t and give s.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.135\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i + 74. Let a be g(-26). Suppose -4*f + 4*u = -a, -f + 2*f + u = 97. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-6)\/2) - -4. Suppose -39*c = -41*c - t. Let q(a) = -5*a**2 + a - 3. Let p be q(c). Is p < -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 6*z = -24. Solve z + 12 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/7 + 32*l**3\/7 + 62*l**2\/7 - 428*l\/7 - 816\/7 = 0. Calculate l.\nAnswer: -3, -2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217895 to the power of 1\/2, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -40357.3?\nAnswer: -40365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from ssnlvvvvsssv?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -17*x - 4327 + 91707. Is 4368 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = h, 3*h + 0*q = -q + 4. Suppose 3*d - h*x = -2*d + 104, -3*x = 9. Calculate the highest common factor of d and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 245?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31a7091 - 4?\nAnswer: 31a708b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:54 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83015, 85316, 89147, 94508, 101399, 109820, 119771?\n\"Answer: 765*b**2 + 6*b + 82244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.433 rounded to zero dps?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-56)*4\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75889 - 75917.99872. Let a = 55 - 84. Let q = r - a. What is q rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 + 24*o**4 + 60*o**3 + 30*o**2 - 63*o - 54 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031247 is divided by 1607.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1146 - 1140.81. What is y rounded to 1 decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 17\/988?\nAnswer: 17\/988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-45)\/(g**(2\/7)\/((g*(g\/(g*g**(2\/7)))\/g*g*g)\/g*g)))**33)**(-30\/7) assuming g is positive.\nAnswer: g**(301950\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 30624 (base 7) in base 16?\nAnswer: 1d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250697.\nAnswer: 29, 197, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 94. Calculate the greatest common divisor of c and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 6*v - 6. What is h(7)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -1\/4, -11, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9 + (-7)\/3. Let k = 5 + i. Calculate the remainder when 10 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5727*g**4 + 433204*g - 433204*g + (2*g + 2*g - 5*g)*(-2*g**3 + 0 + 0).\nAnswer: 5729*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1052\/3, 162, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -j + 5*h, 2*h + 59 + 64 = 5*j. Let l be (-6)\/2 + j - -2. What is the greatest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(-29)*h)\/h*h)\/h*h*h\/(h*h\/h**(-14)))\/(h*h*h**(-2\/37)*h)**(3\/11))**(19\/4) assuming h is positive.\nAnswer: h**(-330999\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.83631ml?\nAnswer: 0.05283631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35432 + 70865\/2. Which is smaller: j or 1428?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 minus 0.33233366983?\nAnswer: 855.66766633017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/21, 4, 1.\nAnswer: -9, -2\/21, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 3*c - 2. Let j be g(1). Suppose 3*q = 2*q + j. Let d be 2\/4 - (-1)\/q. Solve -i = -0 - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-319)*(-24)\/(-16).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 22*x**2 + 19*x - 74. Give i(-23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -2*j + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/29)\/s)\/(s**(-2)\/s)*s*s**(1\/8)*s*s*s**(-3))\/((s\/(s\/((s\/s**3)\/s)))\/s*s*(s**(-3)*s)\/s*s)**(12\/5) assuming s is positive.\nAnswer: s**(3293\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7078179?\nAnswer: 3, 2359393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - -4*(sqrt(243) + sqrt(243)*-2 + sqrt(243))) + -1 + -2*sqrt(243) + sqrt(243).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12)**(-41)*(o\/(o**(2\/9)\/o*o))**4)**46 assuming o is positive.\nAnswer: o**(-202400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {r: 2, l: 1, y: 2, q: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206*g = -1197*g - 144 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and ((-173)\/57 - -5) + 12\/(-12).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-118)\/(-3)*(-12 + 6). What is v rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10741384 to the power of 1\/2, to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.217 - 2.017. What is the nearest to q in 1, 0.5, -0.2, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 803747996602\/5313 - 151279503. Let o = a + 930\/161. Let q = o + -29\/33. What is the common denominator of q and 1\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26403443 and 5.\nAnswer: 132017215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 + (-425)\/(-153). Solve -q*p - 2 = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622684741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 2*m)*(-2 + 2 - 3*m)*(0*m**3 + 0*m**3 + 2*m**3).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - a50d?\nAnswer: -a50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -161. Sort k, 0, 22 in ascending order.\nAnswer: k, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17214 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 3737?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/(-48))\/(((-6)\/90)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 9*x + 523. Let d(h) be the second derivative of -11\/2*h**2 + x*h - 5\/2*h**3 + 0. Differentiate d(f) wrt f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 - (-6 - -5) - -6. Let p(k) = -k**2 + 4*k - 1. Let a(j) = 4*j**2 - 12*j + 3. What is t*p(q) + 2*a(q)?\nAnswer: q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/6 - (-7)\/(-1). Which is the nearest to -0.1? (a) -4 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1266 (b) -144 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 185 + 0*a**3 + 2*a**3 - 2*a**4 - 177 + 0*a**3 to the form n*a**2 + g*a**3 + i*a**4 + c + h*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:35 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914 = -80*j + 537*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 13*l**2 + 12*l + 5. What is m(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77768507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263.7 - 263.2. Sort 2\/3, -5, 24, l in decreasing order.\nAnswer: 24, 2\/3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6*n = 81. Let d be n\/3*3\/3. Let o(v) = -52*v**3 - v**2 + v - 7. Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*q + 28659 = 29012, 0 = -7*f + 3*f + 2*q + 268 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2167 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 289?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18985 + 373804. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 202*r - 113. What are the prime factors of y(71)?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/4, 3\/2, 0.4 in increasing order.\nAnswer: -21\/4, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3 + 3 - 16*m + 15*m. Let k be y(-4). Solve 0*z + 8 = k*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 52120.\nAnswer: 1511480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 4*l**5 + 0*l**5 - l**5 + 3*l**5 - 3*l**5 + (2*l + 0*l + l)*(5*l**3 - 6*l**4 - 5*l**3).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133372645.\nAnswer: 5, 7, 53, 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 23. Let d = -19 - -36. Let p(o) = -1 - 345*o + 117*o + 112*o + 115*o + 9. Calculate d*p(c) - 6*f(c).\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 36?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169942 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-428)\/1170 - 254\/(-635))\/(4\/(-6))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12000786.\nAnswer: 2, 3, 7, 40819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53210 + 5?\nAnswer: 53215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 6 = 2*l + 4*p, 5*p = -2*l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:27 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let g be 14\/(-105)*(4 + (1 - 0)). Which is the nearest to p? (a) 0.2 (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 17*o**2 - 4*o + 63. Give g(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + (-23)\/(-46). Solve -f - 24 = 5*h - 2*f, 5*f - 20 = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1207*l - 4582. Let h be w(4). Solve 24*f = -17*f - h for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145976789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164217813.\nAnswer: 3, 54739271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3 + 3)*(x**3 + 6*x**3 - x**3) + (x**2 - 6*x**2 + 3*x**2)*(-x**2 - 3*x**2 + 5*x**2).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -159*p + 340. Solve r + 15 = p*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -450, -448, -444, -438?\n\"Answer: b**2 - b - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-8 - (-12 + 7))) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -67*r + 3807. Let i(b) = 28*b - 1523. Give -12*i(s) - 5*w(s).\nAnswer: -s - 759","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 1)*(-8)\/20. Let f(c) = -7*c**2 - 3*c. Let b be f(s). Let z be (-2)\/11 + (-114)\/b. Solve -w + 25 = -z*r, r = -w - w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 15*u + 5. Let m be d(15). Suppose 0 = 2*j + 3*z - 330, -m*j - 3*z + 816 = -0*z. Suppose 5*g = w - j, 2*g + 59 = w - 100. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Which is the nearest to -4? (a) -0.1 (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1072 (b) -1 (c) -20\/53 (d) -12 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317186 divided by 85.\nAnswer: -18658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 583, 849, 1115?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 8*s**3 - s**3 + 8*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12398)\/(-20) - (-42)\/70)*18 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o + 127. Let p be 3 + (-1 - (-3 + 5)). Is j(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*z + 4)*(-54*z + 4*z - 18*z).\nAnswer: 136*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -46, -2 in increasing order.\nAnswer: -46, -2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1)*u))\/u)**(-35)\/((u\/(u\/(u\/(u**(-2\/7)\/u))))\/(u\/((u\/(u\/((u*u**(3\/2))\/u))*u)\/u)*u)) assuming u is positive.\nAnswer: u**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 21. Let z = -11.969 - f. Let q = 0.331 - z. What is the closest to -2\/7 in -8, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6)*(-24)\/32. What is the biggest value in 5, m, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) 2\/7 (d) -169\/11 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)**(-33)\/(n**7\/(n*n**4)) assuming n is positive.\nAnswer: n**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2121012 (base 3) to base 5\nAnswer: -30040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787069 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162079724*l**3 + 270177519*l wrt l?\nAnswer: -972478344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 296, 13, 0.3, -0.012?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2 - -7) + (-1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -54.1. Sort l, 3\/4, -3, -4 in descending order.\nAnswer: 3\/4, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10898709 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 + 58*c + 200. Let r be u(32). Solve -6*m + 18 = -r*m - 4*n, 4*m - n + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 767?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1304\/(-16)*(-10)\/(-10) + 9\/(-18))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560443, 560448, 560457, 560470, 560487?\nAnswer: 560508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26079397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 24 = -46. What is the remainder when (-3)\/(-3) + 234\/6 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3938939, 7877908, 11816867, 15755810, 19694731, 23633624?\nAnswer: 27572483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07077 - 196.15077. Let s = j - -193. Let m = -0.08 - s. Sort m, -2\/15, 1\/3, 3\/5 in increasing order.\nAnswer: -2\/15, 1\/3, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (10 + (-103 - -112) + -6 + -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 182. Let j(k) = 26772*k**2. What is l(j(s))?\nAnswer: -1433479968*s**4 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(-43 - -13). Does 6 divide 4\/10 + (-204)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5017 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.16, -1\/6, -11?\nAnswer: -5.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + 308\/(-33) + (-2)\/(-2). Put 2\/245, -9, p in descending order.\nAnswer: p, 2\/245, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by -100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 99.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 2*z + 2. Let r be s(-2). Suppose -5*f = -4*f - 3. Solve f*v - 7*t - 10 = -2*t, 0 = -2*v - r*t + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 30 - 42 = 0. Factor 1\/4*m**4 - r + 3*m - 1\/2*m**2 - 3\/4*m**3.\nAnswer: (m - 2)**2*(m - 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)*1*-43. Let g be -10*12\/15*x. Suppose 2*a - g = -106. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -352342 - -4?\nAnswer: -352338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 522091\/143 + -3651. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 97 = -q - 73, -4*k - 5*q = -326. Suppose 0 = -4*t + k + 48. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16*o = -85. Put o, 12, -1, 2 in ascending order.\nAnswer: o, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 2*u**2 + 52*u + 160\/3.\nAnswer: -2*(u - 8)*(u + 1)*(u + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (36\/10)\/(48\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-357))\/(2\/(-34))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 - 0\/(-1). Let a = 368 - 631. Let d = 264 + a. Does w = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 541 by -541.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(2*sqrt(484) - sqrt(4)))\/(sqrt(16)\/((sqrt(100)\/sqrt(5))\/sqrt(10))).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/14031?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/4 + 5*n**4\/3 - 25*n**3\/6 + 5*n**2 + 14*n + 1. Factor g(h).\nAnswer: -5*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8102929613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 0.1. Let w = 20 - 9. Let r = -8 + w. Sort -2\/11, r, l in increasing order.\nAnswer: l, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a - 1. Let c be p(4). Let l(z) be the first derivative of -5\/12*z**c - 1 - 3\/2*z + 17\/8*z**2. Factor l(r).\nAnswer: -(r - 3)*(5*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*u = -209*u - 18964. List the prime factors of u.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 * -41869\nAnswer: 10132298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f + 27*f - 40*f - 5*f**2 - 2*f**3 - 5*f**3. Let y(r) = -3*r**3 - 2*r**2 + 2*r. Calculate -2*w(s) + 5*y(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057 or 20080\/19?\nAnswer: 20080\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - o = -204, -5*s - 4*o = -3*o + 264. Let z = s - -34. What are the prime factors of (-1 + 2)\/((-6)\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1\/(h*h**5))\/(h*h**(-2\/3)*h*h)**(3\/5))**(-5))**(6\/23) assuming h is positive.\nAnswer: h**(192\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33932068 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 1001011?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127522560 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {f: 1, c: 1, z: 3, p: 5, w: 1, h: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255304 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 divided by -6?\nAnswer: 275\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -18*g - 13. What are the prime factors of n(-6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (7 - 16 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000572807 rounded to six decimal places?\nAnswer: 0.000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**4 - 22905*d**3 + 898830*d**2 - 9560000*d + 15708000 = 0.\nAnswer: -4620, 2, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129 is divided by 313?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:01 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 24*w - 7. Give x(-20).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -35, -51?\n\"Answer: -16*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58391108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28236*r - 120882 + 241771 - 120889 to o + c*r and give c.\nAnswer: 28236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 + -3) + 54. Let o = n - 39. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -7545?\nAnswer: -7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 11*a**2 + 10*a - 70. Calculate the remainder when s(-5) is divided by 95.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8\/48*(-6)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -2. Suppose -d + 15 = 5*a + 4*d, -g*a + d - 9 = 0. What is the third smallest value in -0.3, 0.07, a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 903 and 24?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24120, 24123, 24128, 24135, 24144?\n\"Answer: w**2 + 24119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.338 - -2.34787. Let t = a + -0.01. What is t rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - i + 42 = 0, 2 - 11 = 3*i. Suppose -5*t + 16 = -124. Calculate the remainder when t is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -110101101101011011101?\nAnswer: 110101101101011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*p + 46. Let l be -3*14\/11 + p\/(-44). Sort l, -1, -2 in increasing order.\nAnswer: l, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**41)**(-23))**(2\/19))**49 assuming t is positive.\nAnswer: t**(-92414\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-385\nAnswer: -384.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1820 in 4\/7, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2 - 12. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 202079?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256728736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/36 - 5*v**4\/8 + 20*v**3\/9 - 49*v**2. Factor z(m).\nAnswer: 5*(m - 8)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*s + 2, 0 = -s - 0*p + 5*p - 18. Suppose -13650 = -49*q + 14*q. Suppose -q + 118 = -s*o. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*o - 14 = 0, 5*r - o = 12 + 7. Does 5 divide r\/((-2)\/(-10) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1004 (base 5) to base 8\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhiihffihfhhfifd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 308.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239 is divided by 376.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 + 4*b**2 - 4. Let s(j) be the second derivative of j**5 + 19*j + 0*j**3 + 5\/4*j**4 + 0 - 15\/2*j**2. Give 15*q(y) - 4*s(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1380, 2831, 4284, 5739, 7196, 8655?\n\"Answer: w**2 + 1448*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 6\/7 (c) 37.7 (d) 3 (e) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -3*i**2 + 1\/240*i**6 + 0 + 0*i**4 + 0*i**3 + 0*i + 0*i**5. Factor x(u).\nAnswer: u**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 7. Let f be 10\/(-4) + 37*12\/8. Let x = f + w. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -0.06, 27, 15.23, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1890 and 1948765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18 = 2*t. Suppose 3*p - r = t*p + 1, -1 = -2*p + r. Solve p = f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38263496 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 2*p + 3*p)*(0 + 3 - 2) - 4*p + 24 - 15 - 11 as u + s*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -33 - 9*g - 39 + 3*g**2 - 39 + 101. Let y be u(5). Solve 6*r = 2*r + y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 20 + 6 + (-15 - -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x**(-3))\/(x**5\/(x*x\/x**4))*((x\/x**4)\/x*x**(-6))**(-11\/2) assuming x is positive.\nAnswer: x**(403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.185 (b) -3\/5 (c) 2\/25 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87242492 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 21*t + 19737 = 58*t. What is the highest common factor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445246\/(-57)*-3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 5 - 6*x**3 + 6.\nAnswer: -13*x**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:19 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 850.006 - 850. Let t = 2.994 + d. Let v = 8 + -4. What is the second smallest value in v, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-13) + 364\/169. Solve -k + 13 = 3*g - o*k, -3*k - 14 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 134.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 4 in ascending order.\nAnswer: -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6434699.9 rounded to the nearest one thousand?\nAnswer: -6435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4*s**2 + s - 7. Suppose -2*h - 1 = 1. Calculate x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let r be u(9). Let v be (8\/20)\/((-14)\/r). What is the second smallest value in -1, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + 2*q**2)*(2*q**2 - q**2 + q**2) - 4*q**3 + 4*q**3 + q**4 + 2*q**4 - q**4 + q**4 - 2*q**4 + 4*q**4 + 2*q**4.\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*j + 140*j - 237*j)*(-6*j + 12*j - 7*j - 7).\nAnswer: 249*j**2 + 1743*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammaccwmymmwmyc. Give prob of sequence ycc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -6. Let v(s) = -s + 8. Let u be v(d). Let k = -1323 - -1334. What is the greatest common factor of u and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33196 is divided by 2074?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*k - 72*k + 4*m - 7395 = 0, -5*k + 36994 = m. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 - 1. Let o be c(2). Suppose 4*m + 4*g - 9 = 3, 0 = -m - 3*g + o. Suppose m*n + n = 128. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 8*h - 9. What is x(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 231320?\nAnswer: 231332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -12, -48*t - 5*a + 29 = -51*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 539*t**4 - 1779*t - 3820. Differentiate z(v) wrt v.\nAnswer: 6468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 12*y = 20. Let v(f) = f. Let k be v(3). Let j be 2\/5 - (-104)\/40. Solve -j*i - q - 9 = -k*q, i = y*q + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16*-3)\/((-2)\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - f**2 + f**2 - 5*f**5 + f**5 + 2*f**5 + (0 - 2 + 1)*(0*f**5 - 4*f**5 + 3*f**5) + (-4*f + f + 5*f)*(2*f**4 + f**4 + 0*f**4).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 9. Calculate the remainder when 65 is divided by 4\/((-4)\/(-23)) + o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:16 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 4*p + 2. Suppose -4*j = -0*t - 4*t + 24, 4*t - 5*j = 27. Suppose -3*c + o = 2 - 0, -4*o - 10 = -t*c. Determine h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 + 187 = -b. Solve 7*j = -72 + b for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.019 - -20.019. Let q = -33 + t. Let u = -8 - q. Which is the closest to 0? (a) 1\/6 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.0902, -7, 0.02, -9, -3\/2 in descending order.\nAnswer: 0.0902, 0.02, -3\/2, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2559 - 1039. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*-2)\/(sqrt(28) + sqrt(448)).\nAnswer: -11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 59. Let g be x(0). Suppose -8*n + 3*n - 6 = -2*h, -3*h + g = 5*n. Calculate the greatest common divisor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 149*r + 147. Let u be y(-1). Let k = 3 - 1. Let g(h) = -2 - h**2 + k*h**3 + h**3 - h**2. Let p(l) = -l**2 - 1. Calculate u*p(n) + g(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/789, 6, 2, 5?\nAnswer: -1\/789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g. Let n(q) be the second derivative of q**4\/4 - q**3\/3 - 1306*q + 2. Determine a(n(l)).\nAnswer: 69*l**2 - 46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 589747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (13 - -3)\/4. Let y(p) = -6*p**3 + 2*p**2 + 3*p + 2. Let w be y(i). Let v(g) = 7*g**2 - g**3 + 7*g - 2*g**2 - 9*g**2 + w. What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/48 and -137\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*i + 6 = 0, -5*i - 10 = -5*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*a - 144 = -193*a. Let w(k) be the first derivative of 5 + 3\/14*k**2 - 6\/7*k + 1\/7*k**a. Factor w(j).\nAnswer: 3*(j - 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/30 + i**4\/3 + 2*i**3\/3 + 2*i**2. Let n be k(-5). Solve -5*s + 3*p + n = 0, s + s - 11 = 3*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25804972 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-14))\/((-3)\/1)*-10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 12*y + 2*y**2 + 3*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - 12\/(-9)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222011120212 (base 3) to base 14.\nAnswer: -1d3571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*g - 52 = 5*c, 56 = -g - 5*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*u**3 + 1068*u - 151*u**3 + 1086*u + 1051*u - 3205*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 238. Let t = -106 + s. Let m = 171 + -1541\/9. Which is the closest to t? (a) -0.1 (b) m (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -464393, -928779, -1393177, -1857593, -2322033?\n\"Answer: -v**3 - 464379*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crcs when four letters picked without replacement from scswscssssssr?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313805 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(2) + sqrt(24)\/sqrt(972)).\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4614, 18469, 41560, 73887?\n\"Answer: 4618*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4131627474 + -0.1.\nAnswer: -0.5131627474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 306 - 558 + 4*q**3 + 252 + q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0 + 10. Suppose 0 = 2*y + m - 26. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 38980?\nAnswer: 506740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*d + 29 = 17, 3*t + 9 = 3*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - c - g = -11, 18 = c + 3*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*n - 28, 5*t + 3*n = -16 - 11. Let q be (-2)\/1*(t + 7). Is 3099\/7 + q\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:53 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(20\/24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 794*u + 783*u + 18*u as j + m*u and give m.\nAnswer: 1595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 25*b**2 + 338*b + 8819. Give j(-30).\nAnswer: -5821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3697 divided by 3697\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2879783 - 2879836.00046. Let g = a - -53. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10.96. Let x = h - 5.04. Let j = 141.9 + -142. What is the closest to 0 in 4, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.12773096 to 2 dps.\nAnswer: -21.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from {y: 5, z: 6, r: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 168321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2179*j - 10893. Let d be y(5). Solve -d*t + 5*l + 4 = 7*l, -t = 2*l - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678383469 to the power of 1\/2, to the nearest integer?\nAnswer: 26046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + ((sqrt(84) - sqrt(84)*1)*2 - sqrt(84)) + sqrt(84) + sqrt(84))\/((sqrt(12) - sqrt(12)*2)*1).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 23614*z**3 - 33 + 33 + 23793*z**3 + 3*z.\nAnswer: 179*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-66))\/((-15)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 2.7. Put 0.2, g, 3\/8 in increasing order.\nAnswer: 0.2, 3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081791508 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 485 - -3186. List the prime factors of u.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 19*j + 24*j = -35, -7*w + 2*j + 59 = -3*j for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 45. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13515 - -14264. Calculate the smallest common multiple of n and 5.\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*a + 826*a - l = -19, 0 = -5*l + 70 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:09 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 17*p**2 - 39*p + 46. Let h be t(-14). What is the closest to 10 in -6, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704.1 rounded to the nearest 10?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64.7*1157.\nAnswer: 74857.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51370568 is divided by 597332.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeefeeeeeeeeeeefee. Give prob of picking 3 e.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142539786 and 12394764.\nAnswer: 285079572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13 + 4 + 5*s + 9. Let h(b) = 7*b**2 - 5. Let a(m) = 3*m**2 - 2. Let t(n) = -5*a(n) + 2*h(n). Calculate w(t(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/23)*(x\/x**18)\/x*(x**(-7)*x)**40 assuming x is positive.\nAnswer: x**(-5936\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqerrmerquqqqhe. What is prob of picking 1 u and 2 e?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 31*u**3 - 6*u**2 - 69. Let n(x) = -30*x**3 + 5*x**2 + 68. Let t(w) = -6*n(w) - 5*z(w). What is the first derivative of t(a) wrt a?\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, -2, 1\/2, 2 in descending order.\nAnswer: 2, 1\/2, 0.027, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6584339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 - 4*25\/20. Let n(t) = t**3 - 8*t**2 - t + 8. Let o be n(a). Solve -29 = 4*q + 5*w + 4, o = 4*w + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/7923*-38 - 4\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/60 - 551042176\/120. Let u be -2 - b\/8 - 18\/72. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 436500 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 + 1)*(-58 - 11 - 17)*(r**4 + 0*r**4 + 0*r**4) in the form g*r + a*r**2 + m + b*r**4 + t*r**3 and give b.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4f47e (base 16) to base 11\nAnswer: -201a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 8*i**2 + 5*i - 8. Calculate the least common multiple of m(-7) and ((-132)\/15)\/((-6)\/15).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1163051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, -0.3, 50, -25?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 15 + 16)*(4*m - 6*m - m)*(3 - 1 + 9).\nAnswer: -396*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:01 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 81623.94014 to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f\/(f**(-1\/9)*f))\/f))\/f**(-1)*(f**(8\/7)*f*f)\/(f*f**(2\/11)*f) assuming f is positive.\nAnswer: f**(1282\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 - 17*y + 360. Determine l(9).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*n**3 + 0*n + 0 + 3\/7*n**4 - 3\/7*n**2 + 1\/7*n**5.\nAnswer: n**2*(n - 1)*(n + 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -740986 + 740950.7979. Let x = 31.968 + g. Let b = x + 3.25. Round b to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -28*b + 1708. Let f be o(71). Suppose 2*g - 3*m = -0*m - 563, m + 1119 = -4*g. Is g smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*c = x - 8, -c = x - 7. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 12*q - q. What is the highest common divisor of q and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9676706 and 969.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 4 = -9*r. Let f(d) = 2*d**2 + 6*d - 4. Let j be f(r). Suppose -j*m + 3*s + 0*s + 20 = 0, -5*m - 4*s - 6 = 0. Solve p = -m*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/9)*m**7*m\/(m*(m**(-1)*m*m)\/m*m*m)*m*m**(-1) assuming m is positive.\nAnswer: m**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 20*s - 40. Let k be v(-22). Suppose 12 = -k*i + 28. Is (i\/(-2))\/2*(8 + -457) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3684\/419, 0.3, 1, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggninqnqbqgq. Give prob of picking 1 i and 1 q.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 11*w**2 - 9*w - 16. Let t = -6 + 1. Let n be v(t). Solve -n*f = 8 + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48.3 and 76.4.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238455 + 132263. Let j(y) = -171*y**3 + 8*y**2 + 9*y + 6. Let t be j(7). Let f = i - t. What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.920867 decades in millennia?\nAnswer: 0.03920867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -147*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1332 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193.909 + -194. Round j to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7*x + 24. Let u(a) be the third derivative of a**4\/12 - 4*a**3\/3 + 4*a**2 - 92. What is u(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10531115 (base 6) in base 9?\nAnswer: -542022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/(-27) - (-24)\/(-18). Find the second derivative of -2 - 69*t**4 - 2 - 110*t**j + 0 + 19*t wrt t.\nAnswer: -2148*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 1, -1, 0 in increasing order.\nAnswer: -6, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 10 + 81485*r**3 + 6*r**2 + 13*r**2 - 81486*r**3 - 5*r - 13*r**2. What is y(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/108 and -61\/1431?\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -13 + s + 9*s**4 - 4\/15*s**6 + 9\/20*s**5 - 1\/42*s**7 + 0*s**2 - 18*s**3. Let d(o) = 0. Calculate o.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 40 = q - 64*i + 59*i, -5*q = -2*i - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.1 (c) -0.1 (d) 2\/8069 (e) 0 (f) -1\/8 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3024205 times 1\nAnswer: 0.3024205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 209, 857, 2155, 4319, 7565, 12109?\nAnswer: 18167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*s - 18 = 0, 3*v - 2*s - 2 = -13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*d. Suppose -d*h - 5*v = -37, -h + 34 = 2*h + 5*v. Solve -p - g = -4, -h*p + 4*g = -0*g - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 10, i: 6, c: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 - 13*p**3 + 127*p**3 - 15*p**3 - 7*p**3.\nAnswer: 82*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24604 (base 7) to base 16\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166518 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.160447 + -20.54062. Let b = g + -3.62. Round b to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + (2 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112))**2*-2.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*o + 3 = -0*j, 6 = -3*j - 5*o. Suppose -j*t = -278 - 478. Does 63 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96219 and 410.8.\nAnswer: -95808.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*i + 5656, 17*l - 18*l + 1414 = 2*i. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122220 + 20?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let q(z) = z**3 - 3*z**2 + 2. Let w be q(v). Does 24 divide 1\/w - (-207)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 317947571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (1 + 28\/12). Is t < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 294.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63934 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 24*o. Suppose -4*d = -0*q + 2*q - 26, o = -4*q + 5*d + 39. Solve 5*k = -0*r + r + q, 3*k + 4*r - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 < -77\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16400 = 3914*g - 42310 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -45*b + 95. Let s be c(2). Find the common denominator of 133\/110 and -1 + s\/(1400\/721).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76627, -153256, -229885, -306514, -383143, -459772?\n\"Answer: -76629*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6501 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-89 + 75 + (5 + -5 - -18) - 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -485.8 - -485.9. Which is bigger: -321\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536860731.\nAnswer: 3, 11, 17, 29, 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 41. Suppose -h = -3*z - m, 4*h + 4*z - 5*z - 26 = 0. Find the third derivative of 2*a**6 - 4*a**h - a**6 + 0*a**2 + 2*a**2 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150640 + 11?\nAnswer: 150651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.292 + -16.392. What is the closest to b in -5, -2, -4, 6.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0054484 and 4575.\nAnswer: 4575.0054484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**2 + 25. Let d(z) = -4*z**2 - 6. What is 25*d(n) + 6*y(n)?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 0.4, 41\/4, 0, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/5)*h\/((h**(-10\/7)*h*h)\/h)*(h**9\/h)\/h**4 assuming h is positive.\nAnswer: h**(232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35823339*p**3*x**4 + 2*p**3 - p**2*x + 6316*p**2 - 2*p + 4*x wrt x.\nAnswer: 429880068*p**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82152177 to the nearest integer?\nAnswer: 9064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqswswswwasqhawhsh. Give prob of picking 1 s, 1 a, and 1 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/13 - 9)*-2. Suppose 0 = x + 4*x. Suppose -4*l - 2*k + 138 = x, -4*l = -k + 24 - 153. What is the highest common factor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63350 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6, 17 in descending order.\nAnswer: 17, 6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333022?\nAnswer: 2, 269, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 1928*c**4 - 946465*c**3 + 16531106*c**2 - 54828460*c + 51073400 = 0. Calculate c.\nAnswer: 2, 14, 955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52624810 to the nearest integer?\nAnswer: 7254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/28 - 19\/(-133)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 0*z**2 - 4*z**2 + 0*z**3 + 2*z**3.\nAnswer: 2*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from efoefetofe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 44555*o + 5642356.\nAnswer: (o + 127)*(o + 44428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5037 = 12*o - 771. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 22031130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 0, 3*f + y - 7 - 2 = 0. Suppose 0 = 5*u - 7*j + 12*j - 1295, f*u - 526 = -4*j. What is the remainder when u is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlllggg. Give prob of sequence lqg.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose -q*r + 515 = -5*g, 0*g = r + g - 169. Suppose -4*p + r = 46. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:55 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 204, 15 in decreasing order.\nAnswer: 204, 15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*g**4\/7 - 23068*g**3\/7 - 5204884*g**2\/7 + 4357288*g\/7 + 124384 = 0. Calculate g.\nAnswer: -598, -364, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 19*x**3 - 3*x**2 + 59*x - 38.\nAnswer: (x - 19)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-5 - 3) + 366. Let w = 374 - g. Solve d - 19 = -w*l, 0 = -d + l - 0*l + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/24 and -157\/1446840?\nAnswer: 1446840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -4 in ascending order.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhff when four letters picked without replacement from hhfhhhhhhhhhfhfhhhhh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-24)*(-3)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -85, -123, -199, -325, -513, -775, -1123?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -2)*-1 - ((sqrt(304) - sqrt(304)*-1) + sqrt(304)) - sqrt(209)\/(sqrt(22)\/sqrt(8))*-2)**2.\nAnswer: -36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/9 + 13\/36. Let c = 14 + -14. What is the closest to r in 0.3, c, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**8\/6720 - q**6\/240 - 7*q**5\/120 + 23*q**4\/12 - 17*q. Let m(o) be the third derivative of v(o). Is 7 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64033 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -97. Let j be (-606)\/(-18) + (-1)\/((-6)\/(-4)). What is the greatest common divisor of j and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*h - 6669 = 380*h - 770*h. Let m be 2\/(-7) + (-550)\/(-14). What is the highest common factor of h and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3015706.8 to the nearest 10000.\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 432.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 5*n. Let w be p(-1). Is ((w + -7)*-5342)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 44*p**2 - 341*p - 10. Calculate h(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 205\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*r + 469 = 464, 0 = 4*s + 2*r + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 117 and -1.16892507483.\nAnswer: 115.83107492517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.7. Let z = -0.011 + 40.011. Let f = z + -40.2. Is f != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + 5*((sqrt(171) - 3*sqrt(171)) + sqrt(171) + sqrt(171)) - sqrt(171)))\/(sqrt(90)\/(sqrt(10)*2)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) - (-3 + sqrt(153)*-3)).\nAnswer: 15 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**4\/7 - 276*j**3\/7 - 1226*j**2\/7 - 184*j - 56.\nAnswer: -2*(j + 7)**2*(3*j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 663.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2542 divided by -2\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 + -2a?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/160 and 65\/368.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 569b (base 12) in base 4?\nAnswer: 2112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-3)\/((-180)\/(-5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 171*a + 12. Let o be l(1). Let s = 210 - o. What is the remainder when 90 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 216175445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 2150*m\/3 - 1155625\/3.\nAnswer: -(m - 1075)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 16 = m - 4*d, -16 = 5*m - 4*d. Factor m*z**4 - 3*z + 4*z**2 + 6*z**4 - 3*z**4 + 5*z**2 - 9*z**3.\nAnswer: 3*z*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -60?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*x + 291*x = 0. Suppose -2*q - 44*t + 48*t = -26, -4*q - 4*t + 40 = x. Calculate the remainder when 82 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - u - 2. Let b be s(-1). Let d be b\/4 - 6\/4. Suppose 3*q + 3 = -d. Let i(n) = -6*n. Determine i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73565.34 kilometers?\nAnswer: 73565340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55.19715 millennia?\nAnswer: 55197.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - a + 11*a - 95 - a.\nAnswer: -4*a - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -53*(1 + (-128)\/160) - (-12 + 1). What is k in 0 + 4\/5*k + c*k**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + y**2 - 9*y - 171. What is the remainder when x(-7) is divided by 467?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16459552.\nAnswer: 2, 514361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478 + 6*o - 478.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from dmsmssmdmys?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2940958*a - 2934349?\nAnswer: 2940958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y - y)*(-2*y - 2*y**2 + 2*y) + 3*y**3 + 0*y**3 + y**3 + (2*y - 2*y + 2*y)*(-2*y**2 - y + y) as o + i*y**3 + l*y**2 + m*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**4*k**2 + 1129*h**3*k**3 - 99*k**3 - k**2 - 256 with respect to h.\nAnswer: 12*h**3*k**2 + 3387*h**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(78\/(-260))*-12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/114880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + 7*n**2 - 3*n**2 + (-1 - 2*n + 1)*(-n - 2*n + n) - n**2 + n**2 + n**2 as i*n**2 + p + x*n and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**7\/168 - 13*l**6\/480 + 3*l**5\/80 + l**4\/96 - l**3\/12 - l**2. Let j(o) = 0. What is o?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 806, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-3))\/(601\/(-2)). Let r be (-1 + 1)\/(-331 + 336). Is r bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2) + 3)\/(342\/(-3)). Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27742, 55494, 83246?\n\"Answer: 27752*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -12, -29991, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4946 divide 1791316699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(96))\/(1*sqrt(48)) + (5*(sqrt(2) + sqrt(8)\/sqrt(4)*5)**2 - (sqrt(160)*1)\/sqrt(5)).\nAnswer: 2*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5937820 is divided by 989579?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.6 times 0.39?\nAnswer: -87.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/(k\/(k*k*k**(9\/5))))\/(k*k**(-4\/11)*(k*k**(2\/3)\/k*k)\/k))**(-6\/11) assuming k is positive.\nAnswer: k**(-823\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4898.\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.542 - -0.458. Sort 0.1, b, -9, 2 in decreasing order.\nAnswer: b, 2, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2 - (-340)\/(2 + -7). Let h be 241\/4 + 16\/q. Suppose -4*o = 2*z + h, 4*o + 0*z + 70 = 3*z. Is o >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.97 + -6. Let n = 1.97 - h. Let f = -61.5 - -62. Which is the closest to -2? (a) f (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z, 9*s = 8*s - 2*z + 24. What is the highest common factor of s and 3281?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11093 and 12.2715502.\nAnswer: -11080.7284498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21120 = 74*w - 46*w + 148*w. Solve -2*r = -128 + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 501.59l?\nAnswer: 501590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -777, -1751, -3115?\nAnswer: -4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 11) to base 16.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -47. Suppose -2*z + z + a = -5*y, 2*y = -z + 28. Suppose 5*u = 186 + z. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-7)\/f)\/(f*f**(2\/7))*f**6*f\/f**(2\/7)*f*f)**33)**(-3) assuming f is positive.\nAnswer: f**(396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -26 - (-1 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 - 1378311*l**5 + 5*l**3 - 300*l**2 - 312*l wrt l?\nAnswer: 120*l**3 - 82698660*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 20*k - 31*k. Suppose -x + 50 = -0*d + 2*d, k = 2*d + 5*x. Calculate the remainder when 53 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 4) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -484, 3, -5 in descending order.\nAnswer: 3, -5, -116, -484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 41. Let l be n(-18). Let r be (-2 - -2)\/3 + -2. Which is the closest to 2\/7? (a) l (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 14*m - 77. Let k be s(19). Suppose -4*o = -194 + 14. What is the greatest common divisor of k and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2592410*h + 0 - 2587743*h + 0 to the form v*h + q and give v.\nAnswer: 4667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1040224, 2 in increasing order.\nAnswer: 2, 3, 4, 1040224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*p + 45 = -184*p - i, 24*p + i - 1030 = 0 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 237\/2. Let s = o + 7. Let g = 2 - 7. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33201300 (base 4) to base 16.\nAnswer: -f870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/6, -4, -0.3, 49\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24534?\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/40 + (-306)\/10. Let z = -30 - n. Let t(j) = 23*j - 138. Let p be t(6). Solve 4*a - 4*w + 8 = p, -a + 3*w + 3 = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 - 51 = -32*j - 128 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mozltzztmt. Give prob of picking 1 o and 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15056? (a) -3 (b) -0.07 (c) -5 (d) -1\/6 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15005403 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -185+-559\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (19 - (-12 - (16 - (46 - 7))))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4274*b + 24054 + 2145*b - 24054 + 2134*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*p - 3547 = -3421, -25 = p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 8*r**2 + 38*r**3 - 39*r**3 + 13*r - 15 - 4. Is p(9) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457779?\nAnswer: 3, 7, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258\/5*z**2 + 2\/5*z**3 - 1056\/5 - 160*z = 0.\nAnswer: -132, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j. Let g(c) = 8*c**2 + 48*c. Let t(y) = -y**2 + 5*y. Let l(f) = -g(f) - 10*t(f). Calculate l(k(p)).\nAnswer: 32*p**2 + 392*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 3*o - 5. Let x be 9\/(-12) - 29\/4. Let q = x + 4. Determine m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose 531 = w*z + 91. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iviiiviiiiiii. What is prob of picking 4 i?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x + 1991. Determine a(105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 623 = 1820. Let x = 30 - 21. Calculate the greatest common factor of f and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -42, 5\/2, 1264.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:03 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 69 + 79 = 0. Suppose -x*m + 2084 = 2*v, -3*m + 8*v - 3*v = -3134. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*a - 1538*a - 7077 = -29901. Solve 158*w**2 + a + 6*w**3 - 322\/3*w = 0 for w.\nAnswer: -27, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 7*g - 2513144*g**2 - 10*g.\nAnswer: -2513144*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.6, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*f - 3*w, -5*f = 3*w + 15 - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 - -470. Suppose -4*c - 274 = k. Calculate the common denominator of -73\/2 and (7\/(-8))\/(6\/c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -495*(-6)\/18 + 1 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-13 - (-1 + -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60615 + -4368. What are the prime factors of m?\nAnswer: 3, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*m - 2*g = -495*m - 14, 5*g = -4*m + 35 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 608071 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.07 + -28.7. What is t rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 56*c + 168. What is g(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703224?\nAnswer: 2, 3, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -11305173?\nAnswer: -11305174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 636.\nAnswer: -0.3, 0, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44169 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: Is 14605201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 2, v: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.21752um in kilometers?\nAnswer: 0.00000008021752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 350137 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 + f**4\/3 - 8*f**3 - 88*f**2\/3 - 112*f\/3 - 16.\nAnswer: (f - 6)*(f + 1)*(f + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {f: 1, o: 1, c: 5, d: 2, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:14 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 3*n**2 + 3. Let g(j) = 3*j**3 - 2*j**2 - 2. What is 6*g(s) + 4*v(s)?\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4519.059 nanoseconds?\nAnswer: 0.004519059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -j, -5*j + 28 - 10 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 487, 571, 665, 769, 883?\n\"Answer: 5*w**2 + 69*w + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**3 - 5*j**2 + 32*j + 76. Let p be m(-2). Suppose 2*f + 125 = -5*g, -2*g - 4*f = -0*f + 66. Let u = -103 - g. Is p smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/21)\/(6\/18). Let l = -0.17 - -0.6. Let z = -0.57 - l. Which is the closest to t? (a) z (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 587000 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 49 = -0*y - f, 3*y - 77 = -5*f. What is the highest common divisor of y and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*2*3. Suppose -s + 17 = o + 3*o, -4*o + 13 = -3*s. What is the second derivative of i + b*i**o + i + i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23220)\/(-9030))\/((-6)\/(-231))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 441677962 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:25 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46000 = 5676*s - 4526*s for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 0.091, 4 in descending order.\nAnswer: 5, 4, 0.091, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 + 13 = -a, -5*a + 3*i + 11 = 0. Suppose 0 + 2\/13*b**a - 4\/13*b + 0*b**3 - 6\/13*b**2 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 1. Let c(l) = 19*l - 4 + 1 - 12*l - 10*l. Let v(f) = c(f) + 3*m(f). Let y(x) = 2*x. Calculate v(y(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Let z = -786 - -798. Let o = 39 + -42. Which is the biggest value? (a) o (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-8 + (5 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13152493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5265 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3010)\/273*2 + 22.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -14, -7\/3, 4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a**2 + 2*a**3 + 0*a**3 - 15*a**2.\nAnswer: 2*a**3 + 74*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - 2. Suppose 18 = 2*l + 4*i, -k*i + 33 = 4*l - 33. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 967504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8362\/2466790)\/((-5)\/(-59)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28011, 28014, 28019, 28026, 28035, 28046, 28059?\n\"Answer: m**2 + 28010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33*(-895)\/(-30)*2 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -6393*k + 6373*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94858530 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 259 = -791 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 * 18.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48619 (base 13) in base 8?\nAnswer: -403370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-614)\/5*4\/6. Let q = 82 + c. Let i be -3 - (1 - (6 - 3)) - -1. What is the nearest to i in q, -0.5, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, w: 1, q: 1, b: 2, u: 1, m: 1}. What is prob of sequence wumq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0425 times -7.28421?\nAnswer: 0.309578925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 8. Let z = 14.89 - g. Let f = -0.1100032 - z. What is f rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -328, -363, -408, -457, -504?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107502433117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 - 133305*s**3 - 4939130*s**2 = 0. Calculate s.\nAnswer: -37, 0, 26698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23745*k + 2 - 2.\nAnswer: -23745*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 10. Let c be j(2). Let a(l) = -12*l + 8. Let o be a(c). Suppose 4*h - o = 156. What is the greatest common divisor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 16*a - 20. Let j be y(-14). Solve -4*p - 11 = -4*u - 3, -4*p = 4*u - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15949, -31896, -47843, -63790?\n\"Answer: -15947*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -1577344530921?\nAnswer: -1577344530922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55900908*x**3 + 56476269*x**2.\nAnswer: 335405448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, -2\/13, 0.2, 5041, 549, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (2 + 1)*-1 - -112. What is the highest common factor of 270 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -1503, -4869, -11423, -22227, -38343?\nAnswer: -60833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -0.29 (c) -0.2 (d) -0.02 (e) -947 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u = 119*u - 104 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228436315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 42 = -10*d. Solve -d*f = -f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 - 13*g + 27. Let v(s) = 2*s**2 + 6*s - 13. Let b(y) = 6*a(y) + 13*v(y). What is the first derivative of b(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -67*r + 108*r - 29*r - 74*r - 14*r. Let m(z) = -2*z + 3. Let y(s) = -3*s + 5. Let l(q) = -5*m(q) + 3*y(q). Calculate u(l(k)).\nAnswer: -76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 9*z. Suppose z = -29*s + 30*s - 2. Suppose q = 5*x - 885, -s*q = 5*x + 114 - 984. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3813 + 3813.0006652. Round q to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Let u(t) = 6*t - 18. Let c(x) = 2*x - 6. Let m(v) = i*u(v) - 14*c(v). What is the units digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a, 0 = -3*l - 2*l + 2*a + 49333. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 7}. What is prob of sequence jjd?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Suppose 0 = -4*v + o*z + 8, 8 = 3*v + v - 2*z. Suppose -4*b + 198 = -v*d, 2*b + 183 = 6*b + 3*d. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and -52.\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2404*j = -2408*j + 4831*j + 665 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -141199330 rounded to the nearest one million?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 + z**2 - z + 1. Let x(f) = 11*f**3 - 29*f**2 - 9*f - 1. Let a(l) = -6*p(l) - x(l). Calculate the remainder when a(-22) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5172\/23 < 224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 5*b**2 + 3*b + 3. Let j be (-5)\/2 - 180\/(-24). What is a(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*738\/(-164).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 5*a**2 - 6*a - 7. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737896457?\nAnswer: 737896457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820014 is divided by 409661.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*p - 39, -3*o - 3*p + 58 = -14. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -210, 3, -68 in descending order.\nAnswer: 3, 1, -68, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 + (-8)\/56*-2. Let m(d) be the second derivative of 1\/40*d**6 - 1\/16*d**4 - 3\/40*d**5 + 1\/4*d**3 + 0 - 7*d + n*d**2. Factor m(t).\nAnswer: 3*t*(t - 2)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2420 and -0.2.\nAnswer: -2420.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 15*a. Let w(o) = 5*o - 1. Let z(k) = -72*k + 14. Let q(c) = -28*w(c) - 2*z(c). Determine p(q(r)).\nAnswer: 48*r**2 - 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 8\/7 (b) -7 (c) -1396 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*s - 40, -s + t + 7 + 2 = 0. Let n be (-52)\/(-6)*(1 + -208). What is the units digit of n\/(-24) - (2 + (-5)\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -21*j**4 + 14*j**3 + 3*j**2 - 4*j - 20. Let t(v) = -v**3 - v**2 + v + 5. Let l(d) = -5*f(d) - 20*t(d). Find a such that l(a) = 0.\nAnswer: 0, 1\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-496)\/868 + (-1310)\/(-14). Suppose 101*t + 392 = j*t. Which is bigger: -52 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -341, -512?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*u - 12*u. What is the lowest common multiple of u and 184\/28 - 9\/(-21)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6657 is divided by 94?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -191*d - 641. Let a(b) = 67*b + 215. Let k(s) = 17*a(s) + 6*h(s). Let t(y) = 4*y**2. Determine k(t(j)).\nAnswer: -28*j**2 - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*j + j**3 + 17*j - 2*j**3.\nAnswer: -j**3 - 88*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1088\nAnswer: -1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 10787.11\nAnswer: -10791.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-1901557)\/(-33) + 22 + (-2896)\/132.\nAnswer: 29, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 0.11 (c) -0.84 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2 + 4)*-6. Suppose -5 + h = -f. Suppose f*t + 2*t = 5. Calculate the highest common divisor of t and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17*d**2 + 2 + 36*d**2 - 15*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 100100000010101001001001?\nAnswer: -100100000010101000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1051)\/(-9) - 2\/(-9). Let l = i + -275\/2. Let w = 220379\/18 - 12248. Find the common denominator of w and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j**10)**9)**(2\/59) assuming j is positive.\nAnswer: j**(882\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 2*f**2 - f**2)*(-655*f**2 - 665*f**2 + 1321*f**2 - 534) to the form n + u*f + b*f**2 + p*f**3 + q*f**4 and give b.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-90))\/((-3)\/(-12)). What is the smallest value in y, 12, 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + 50*r + 263. Determine m(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1 + (4 + 1 - 3)*(1 + 2 + 0))*(0 + 4 - 2)*(1 - 1 - i).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m - 5. What is the remainder when 74 is divided by c(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.486 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8533.19 + -8548. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.846 + 0.798. Let m = 0.048 + k. Let f = 24.99999941 + m. What is f rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 3, x: 1}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 658246333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 27 (c) 0.3 (d) 330 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-17) + (-212)\/1802?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + 21.37. Let p = u + -15. Let i = -6.042 + p. Round i to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*p**3\/7 + 1440*p**2\/7 + 26574*p\/7 + 81356\/7.\nAnswer: -2*(p - 22)*(8*p + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000341932 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 570*j**3 + 8*j**2 + 4*j - 8. Let w(o) = 1141*o**3 + 14*o**2 + 7*o - 14. Give -7*l(v) + 4*w(v).\nAnswer: 574*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/15446?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 0, -5*z + 12*t = 13*t - 34011. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5969645 (base 10) to base 15.\nAnswer: -7cdbb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34711667 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73143250 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543048*d**3*z - 579*d**3 + 5*d**2 + 46*d - 2 with respect to z.\nAnswer: -543048*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 2*f**2 - 2*f - 34. Let p be l(0). Let w be (-574)\/p - 24\/(-204). Calculate the greatest common factor of 272 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8712, 8716, 8724, 8736, 8752?\nAnswer: 8772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 417460337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (664\/2905)\/((-216)\/90)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 - 2*g**3\/3 + 7*g**2\/2 - g - 25. Let q be o(-4). Is (-15100)\/(-12) - (2 - 8\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*3\/12*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12610000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*(24\/279)\/4*-2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1518 - 1389. Suppose -88*a - c = -45*a. Let z(d) = -d**2 + d - 1. Let y(g) = g**3 - 2*g**2 + 5*g - 3. Let t(o) = -y(o) + 6*z(o). Determine t(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let h = 493\/6 - 82. Sort -3, i, h.\nAnswer: -3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 200096\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 12095304?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -804, -2290, -3114, -1926, 2624, 11886, 27210?\nAnswer: 49946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -214. Calculate the greatest common divisor of 506 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.18 + 44. Let u = 250.3 - 251.3. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 14. Let a be 0\/(3\/(-3) + 0). Let q be d(a). Let l = q - -28. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 10*d**2 - d - 4. Let g(z) = -3*z**3 - 29*z**2 - 3*z - 11. Suppose -2*o = -4*o - 34. Let l(j) = o*h(j) + 6*g(j). What is l(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 318, -547, -1414, -2283?\n\"Answer: -x**2 - 862*x + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*t - 9, 2*c + 11 = 2*t + 3*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -28*w**2 - 39*w**2 - 32*w**2 + 2*w**2 - 25*w**2. Let o(y) = 10*y**2. Calculate o(p(g)).\nAnswer: 148840*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*c - 29*c = -37602216829 - 21605813171. Round c to the nearest 1000000.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2515 and 2238350?\nAnswer: 2238350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*q**3 + 1372*q**2 - 14480*q + 336.\nAnswer: 4*(q - 6)*(q + 14)*(43*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**6 + 83*a**4 - 16*a**2.\nAnswer: -120*a**3 + 1992*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23929254953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.8. Let m be 4\/(-72)*4*(0 - 3). Let o be (5 - 0) + (-38)\/10. Which is the nearest to q? (a) o (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 131 (b) -3 (c) -0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1066552 + 47?\nAnswer: 1066621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15778642303 rounded to 6 dps?\nAnswer: 0.157786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.4. Let k(p) = -2*p. Let h be k(1). Let n = -104 + 106. Which is the nearest to 2? (a) v (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0 + 0)*(4 + 3 - 5) + 0*k + 0*k - k - 3*k - 4*k + 6*k - 3*k - 6*k - 13*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from oeugue.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 251. Suppose -d = -v - 53. Calculate the greatest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7519 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2268?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 0 (b) -3 (c) 2\/19 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - g**2 - g. Let j be (-6)\/4 + -1*174\/(-4). Let l = 47 - j. Let v(u) = u**3. Determine l*v(f) + 2*h(f).\nAnswer: f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (4 + (-36460)\/8505). Let u = -141179\/3402 - c. Which is smaller: -41 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057 is divided by 869?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 32429906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (80\/36)\/((-1)\/((-108)\/8)*3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/2080 and -43\/36.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 2*y - 26 = 2*b + 46, -4*b = -132*y + 475 + 133 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1962 and 59\/1635?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19015 - -19014.920995. Round x to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 16)\/((-3)\/34). Let b be -3 + 4 + j + -2. Suppose 0 = -z - 2*l + b, -3*z + 343 = 2*z + 2*l. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001725 rounded to 7 decimal places?\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 4*q**2 - 4*q - 7. Let d be y(3). Let b(k) = -51*k - 11. Is b(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 50*f + 60 = 0. Let h be (-168)\/(-28) - f\/(-2). Sort -22, -5, h in decreasing order.\nAnswer: h, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*y - 332, -254 = 4*a - 2*y - 696. Calculate the remainder when a is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*o + 83*o - 11598 + 10803. Suppose -24\/5*u**4 + 6\/5*u**3 - 24\/5 - 3\/5*u + 48\/5*u**2 - 3\/5*u**o = 0. Calculate u.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 66 = 17*z. Calculate the smallest common multiple of 6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m - 42 = -350*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5*10\/25)\/((-2)\/(-5)*(-175)\/(-2240))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1234*a - 1234*a - 21 + 15*a**2 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y + 18*y - 918 = 0. Let x be -1*(-12 - 1) - 0. Let a = x - 3. Calculate the remainder when y is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 928 and 94638368?\nAnswer: 94638368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 630\/280*(3 - 21\/(-9)). Solve 3*n = -3*q + t, 4*n + n = -q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 24\/13 (b) 0.4 (c) 0 (d) 0.12 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*h + 143*h + 36*h**2.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76) + 2.\nAnswer: 7 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-43 - -42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 6 = -3*i. Let s(q) = 2*q + 15. Suppose 7*m - 17 = 46. Let c be s(m). Solve -g + i*u - 19 = -u, c = -2*g + 5*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 2*h**2 - 2*h - 1. Let a be o(-1). Let y = 4 - a. Solve y = -2*f + 3 - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1108168 and 13\/284?\nAnswer: 1108168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a36 + 8ab51?\nAnswer: 89117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-114)\/270 + 20\/90. Which is the nearest to 6? (a) -5 (b) 1\/5 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:28 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-1 - 3 + 2)*(3 + 1 - 2) - 4 + 3 + 3 - 1 + 3 - 3)*(t + 2 - 2)*(-17 - 22 - 4).\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 3*s**2 + 0*s**2)*(30*s - 60*s - s).\nAnswer: 279*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -m - 2619, -2*r - r + 2*m = -873. What is the highest common divisor of 1552 and r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -36. Let s = 5 - y. Solve -j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/3)\/((-4)\/6). Suppose 0 = 10*q - g*q. Solve 5*t = -q*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -141484*n + 141478. Determine w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 20*f**2 + 30*f + 1168. Give k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (1 - -1 - 6). Suppose 0 = z - 5*y + 12, -5 - 1 = -j*z + 2*y. Suppose 2*v - z = v. Solve v*f - f = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -7*r**4\/8 + 7*r**3 + r**2 - 29*r - 32. Calculate v(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 + 6.7. Round s to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**5 + 3*q**5 + 5*q**5 + (q**2 + 3*q - 3*q)*(9*q**3 - 149*q + 149*q).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012302 (base 5) in base 10?\nAnswer: -32202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1399116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/34041 and 87\/700.\nAnswer: 3404100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -3 + 37 + -1 + 1 + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2762.5 - 2762. Which is the third biggest value? (a) u (b) 4 (c) -0.1 (d) -3 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 2136?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1123586?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56784 and 4743648.\nAnswer: 61667424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.434 + 5.5. Let p = r + 0.034. Is p less than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f - 1. Let t = -84 - -80. Let b be n(t). Solve -6 + 0 = -b*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27178?\nAnswer: 2, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1064749587 by 11.\nAnswer: -96795417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f - 7*f + f - f - 7. Let a be l(17). What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/5*(-55)\/(-22). Suppose s*a + 179 = 185. Solve -x = -a*l - 1, 4*x = 2 - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 31*x - 1\/3*x**3 + 0*x**4 - 1\/2*x**2 + 0 + 1\/20*x**5. Determine j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -877, -1966, -3491, -5452, -7849, -10682?\nAnswer: -13951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4 and -46\/89?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-10)*(-20)\/(-6). Let x(f) = f**3 - 17*f**2 - 18*f - 11. Let n be x(18). Let d be 2\/(-3)*(143\/26)\/n. What is the closest to p in 4, d, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15891 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94658098 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -121. Let i = 82.1 + c. Round i to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*n - 12489 = 423 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730970 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 282.095.\nAnswer: 281.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5728*y - 280726. Calculate d(49).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2571b (base 14) in base 7?\nAnswer: -532034","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (675\/6)\/(-3)*30\/(-45). Solve 5*z = -3*b + i, 2*z = -2*z + 4*b - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.51 + 25.61. Which is the nearest to -3? (a) -5 (b) u (c) 0 (d) 3\/104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 + 3358405?\nAnswer: 3358484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y - 19*y - 55. Solve -o + 4*k - 31 = -y, 3*o - 15 = -3*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23544 divided by 436\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 27*h + 54. Let l be g(25). Let w = 241 - 245. What is the nearest to w in 0, l, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31570000 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose -3*v = 5*q - 32, -v - 3*v + 101 = -s*q. Find the third derivative of -3*o**2 - 37*o**4 - 4*o**2 + v*o**4 + 6*o**4 wrt o.\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8830528 divided by -1472?\nAnswer: -5999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - 114\/(-18). Suppose 12*k - a - 150 = s*k, 5*k = -4*a + 150. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/33 (b) -2 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:33 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.118961 - -0.1032664. Let k = -0.1343119 + i. Let q = k - -0.15. Round q to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*j + 4 = 2*v, 0 = 4*v + 3*j + 2. Which is the third biggest value? (a) 1\/2 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27630552 + 27628553 + 3*w**3 - 55259105.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 104.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m**2 + 131*m + 2488. List the prime factors of z(-40).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 8:29 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -62. Let v(p) = -29*p**3 + 3*p**2 + 4*p + 2. Let g be v(j). Let c(m) = -g*m**2 - 23*m**2 + 50*m**2. Let r(x) = 6*x. What is c(r(f))?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*m + 4*m - 72, -2*v - 54 = -3*m. Let x be m\/3 + -3 - 0. Suppose 5 - x = 2*c. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*a**2 + 2\/3*a + 0 - 8\/9*a**4 - 10\/9*a**3.\nAnswer: -2*a*(a + 1)**2*(4*a - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42720 and 420.\nAnswer: 299040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8418918938566 less than 3?\nAnswer: 8418918938569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2114 (base 7) to base 13.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 12*p = -9084. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519789?\nAnswer: 251, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:01 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45045a2 (base 12) in base 16?\nAnswer: -c95a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 20. Let b = 28 - w. Calculate the highest common divisor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1603, 5933, 14367, 28273, 49019, 77973, 116503?\nAnswer: 165977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4318*f = 4190*f + 243712. What is the greatest common divisor of 5168 and f?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12242 is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 3. Let k(l) = l**3 + l + 1. Let m be 0 - 2*(-4)\/(-8). Let o(g) = m*c(g) - 2*k(g). Let w be o(0). Which is smaller: w or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 11*n**2 + 16. Let v be d(11). Suppose -v = -w - 0*w. Let t be w\/5 - (-11 + 10). Which is greater: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 5. Suppose -3*y = -a*t + 2*y + 266, 3*t + y = 209. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6868 + 2?\nAnswer: 6871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8592.402 millimeters to micrometers.\nAnswer: 8592402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n. Suppose n*t + 3*t = 18. Calculate the remainder when -1 - -18 - (-4 + 4) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 16)*2*(-3)\/(-2). Let v be ((-9)\/(-27))\/(((-3)\/m)\/1). Which is the second biggest value? (a) -3 (b) 1 (c) v (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i**3 - 55*i + 52*i + 0 + 2*i**3 + 3. Let a = -9 - -12. What is the tens digit of s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/10*5\/(-4). Let o = 16 - b. Let r = -4 + o. Solve -q - 7 = 4*u, -4*u + 3 = r*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.4, 108, -3, 4, -16 in descending order.\nAnswer: 108, 4, -0.3, -0.4, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3903 divided by 110229?\nAnswer: -1301\/36743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) + 6\/56. Let n = -0.005 - -0.305. Let s = 97.7 + -92.7. Sort s, n, t.\nAnswer: t, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*r - 13 = 0, -16*b + 12 = -20*b + 4*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*y + 12, -70*y = -68*y - 3*k + 28 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 807 + -554. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -14936.9?\nAnswer: 14938.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 1. Let d(h) = -4*h**3 + h**2 - h - 1. Let p be d(-1). Suppose p*w - 5*r - 15 = 0, -3*r = -5*r - 10. What are the prime factors of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.234 * -2592\nAnswer: 10974.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/159324 and 173\/144840.\nAnswer: 1593240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 29\/2)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69231686 is divided by 553.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148395\/(-390) - -383)*(-5)\/((-2025)\/4)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from fvqufugg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {x: 1, n: 1, s: 1, d: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 8832?\nAnswer: 8837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - o - 7, -2*s - 4*o = -8*o - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.16 - 61.16. Which is the smallest value? (a) 26 (b) -3 (c) m (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 21*g**2 - 120*g - 18. Suppose -2*f - 2*f = -3*j - 103, 5*j - 15 = 0. Calculate the least common multiple of f and n(6).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3005)\/((-450)\/108 + 4). Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3318?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 20 = 0. Let d be 24\/g*5\/(-2). Which is the second smallest value? (a) -2 (b) -4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10020 (base 4) to base 13\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 238124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -21.96. Let g = -23 + d. Sort 5, g, 1\/5 in ascending order.\nAnswer: g, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzprqpjg. What is prob of picking 1 p, 1 z, and 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 579216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 208 = -5*b + 227, -459 = -5*i + 3*b. Suppose -4*j + 4*t + 140 = 0, -5*t = 5*j - 152 - 73. Calculate the highest common factor of i and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3837562841 - 3837562841 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 0, 0 = -2*k + 4*h - 1 + 3. Which is the closest to 0? (a) -2\/21 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4743 and 2108?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22004632 divided by 52?\nAnswer: 423166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Suppose 0 = -3*b - k - 7. Put 1, b, 0.5 in descending order.\nAnswer: 1, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28261*d - 132510 wrt d.\nAnswer: 28261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -1\/13, 81196?\nAnswer: 81196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*s**2 + 255*s**2 + 188*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 4*f + 4*f - 1 + 52*f**2 + 0. Let n be p(1). Suppose 3*z = z + n. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4260 divided by -852\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*64\/(-112)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/130*10 - (-1 - -2). Let o(y) be the second derivative of 1\/3*y**3 + 4*y + x + 1\/12*y**4 + 1\/2*y**2. What is o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + (-4*(sqrt(99)*2 + sqrt(99)) - sqrt(99)))*-4*5)\/(-1*(sqrt(9) - sqrt(36)) - -3*3*sqrt(9)).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -32886, -669, -7 in ascending order.\nAnswer: -32886, -669, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16 = -88. Suppose 18 = 5*o + 4*j - 6, -j + 36 = 5*o. Calculate the smallest common multiple of o and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/180*((-765)\/34)\/(3\/1)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2 - 12*t**5 + 6*t**2 + 0*t**2 wrt t.\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 9. Suppose 3*f + 0 = -a. Which is smaller: f or -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313 + 267799*w**3 - 2*w**2 + 4*w**2 - 2*w**2 - 267787*w**3 to l + r*w**3 + y*w + n*w**2 and give l.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -69, -63, -43, -3, 63, 161?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 11. Let m(u) = 14*u - 7. Does 9 divide m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-442)*8\/12. Let h = 20563\/6630 + j. What is the common denominator of h and -52\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37346 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 5. Let w = 23 - d. Suppose 3*h - w = 4. Solve -2*q - h*q = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 4*p + 2*p)*(-4 + 2 - 6) - 2*p - p + 2*p in the form c*p + j and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 13*p**2 + p + 19. Let s be a(-13). Solve -2*h = -4 - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 - -2. Let q = -88 + 88.3. What is the biggest value in -0.08, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459676.\nAnswer: 2, 364919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2598 + 23386\/9. Find the common denominator of u and -51\/197.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12409794 divided by 3.\nAnswer: -4136598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -p + 38, 2*p + 3*h = 90. Let y = 169\/4 - p. Let c = -22 + 21. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.795579 nanoseconds in microseconds?\nAnswer: 0.005795579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 4\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1))*n**5*n*n*n**(-2\/7)*n**(-4))**(2\/57) assuming n is positive.\nAnswer: n**(8\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 3*u - 1. Let q(b) = -5*b**2 + 4*b. Let m(a) = 3*q(a) + 4*x(a). Let p be m(3). Let l(i) = -1 - p*i + 3*i + 0. Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -21*i + 2 - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose 2*a + 5*c - 20 = 5, 3*a - c = 63. Solve a = 4*v, p + p - n*v = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 2*l - l + 8 + 9 as w*l + t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 33*s + 48. Let y be p(-32). What is the highest common factor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - ((-840)\/72 - -9). Suppose -6*q + 2*q = 0. Solve q = -5*w + n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/4 - 4*t**3 - 18*t**2 + 12*t + 52. List the prime factors of s(16).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 19. Calculate the remainder when 46 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/2*p + 1\/4*p**2 = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let z(d) = -d**2 - 9*d - 10. Let r(u) = 2*j(u) + z(u). Let q be r(-9). Let w(s) = 4 + 2*s - 2 - 9*s. Let f(g) = g. Calculate q*f(h) + w(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 443211225 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -31) + (0\/(-2) - 1). Suppose 0 = 3*t - 31 + u. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 47, 73, 109, 155, 211, 277?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/3 + z**4\/12 + z**3\/2 - 2*z**2 + z - 42. Let b(d) be the second derivative of y(d). Let i(h) = 2*h. Calculate b(i(t)).\nAnswer: -80*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - 5 - (1 + -2). Let i be ((-32)\/(-60))\/(u\/5). Let l = 2 + -3. Which is the third smallest value? (a) -2\/17 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -0.22. Let i = -191135 - -191135.2999995. Let d = i + b. What is d rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*t + 7. Suppose -3*u + 48 = 4*s, t = 2*s + 3*u - 23. Calculate the least common multiple of s and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 24, 12, 0, -12, -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z**3 - 12*z**2 - 2*z + 2. Suppose 4 = 4*x - 4. Let y(d) = -25*d**3 - 23*d**2 - 3*d + 5. Let r(v) = x*y(v) - 5*a(v). Let r(c) = 0. Calculate c.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.3 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2 - (-10)\/4). Let d be (-3)\/(-6)*0 - -2. Let h(t) = -g*t**2 + t**2 + 0*t**d - 2*t + 6. Let u(a) = -9*a**2 - 4*a + 11. Give -11*h(v) + 6*u(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 132 * -1\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.03\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/2 (b) 34 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52596614 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.93 + -1.03. Let v = 0.2 + 0.8. Which is the second smallest value? (a) v (b) -4 (c) 2\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 249481 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 404 - 2655?\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:50 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 4*w**2 - w + 1. Let m(f) = 1 + 7*f + 0*f - 17*f + 3*f. Let l = 16 + -23. Determine l*m(z) - 6*a(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/2 - 3*j**5\/5 - 15*j**4\/2 - 8*j**3 + 441. Factor o(g).\nAnswer: 3*g**2*(g - 4)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625805735 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -110819\nAnswer: 3\/110819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.7 + 5.3. Let z = 33.9 - 33.7. Put r, -0.08, z in ascending order.\nAnswer: r, -0.08, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by -18*(16\/6)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(52)\/sqrt(4) + sqrt(39)\/sqrt(27).\nAnswer: 4*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 300*r + 151. Let z(q) = -601*q - 301. Let y(x) = 13*h(x) + 6*z(x). What is the first derivative of y(l) wrt l?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*q + 77*q + 284*q + (2 - 3 + 0)*(-1 + 2*q + 1) - q - 1 + 1.\nAnswer: 413*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 16*a + 4. Let z be g(4). Let t = 90 - -4. Let s = z - t. Which is bigger: s or -28?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76452579 and -4.\nAnswer: -305810316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -1, 1717 in descending order.\nAnswer: 1717, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7216671 divided by 231\nAnswer: -31241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387, -184, 1115, 4062, 9209, 17108?\nAnswer: 28311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 109. Let p be ((-42)\/12)\/((-1)\/(2 + 2)). Calculate the highest common divisor of m and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*10\/40)\/(2*(-2)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -11*h**6\/360 + 29*h**4\/24 - 29*h**3\/3 - 54. Let p(n) be the third derivative of t(n). Differentiate p(g) wrt g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**4 + 5*w**3 - 11*w**2 + 3*w - 3. Let r(x) = -x**4 - 6*x**3 + 12*x**2 - 2*x + 3. Let o(h) = 6*j(h) + 5*r(h). Factor o(v).\nAnswer: (v - 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*s**2 - 781*s**2 + 256*s**2 + 256*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 23*u**2 + 3*u - 78. Let o be k(23). Let v(x) = 2*x + 29. Let f be v(o). Solve -11*i + 33 = f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5318*x + 17 + 17 - 34.\nAnswer: 5318*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/72535 and -41\/126325?\nAnswer: 11242925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.7. Sort -0.1, 1\/4, v.\nAnswer: v, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 40. What is n(-12)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnwkqqnqw. Give prob of sequence nq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4774*n - 236209. Calculate t(50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*k = 2*k + 12, -15 = -5*k. Suppose l + d = 5. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/35)\/(2\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 - f. Let x(v) = -17 - 19*v - 20*v + 17 + 44*v. Give x(r(d)).\nAnswer: -30*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 - 387 = -15*g. Calculate the lowest common multiple of g and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-35)\/(-2))*-5. Suppose -3*a - 160 = -9*o + 8*o, -o - 2*a = -180. Suppose -10 = -o*j + 170*j. What is the nearest to 0.1 in j, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53610869867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -57. Let f = m - 15. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28126 by 176.\nAnswer: -14063\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 273852 or 273878?\nAnswer: 273878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 - 0.33. Let o be (-3)\/(-6) - 18\/20. Which is the biggest value? (a) 1 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*f + 2758, 119 - 115 = 4*f. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giddfffggga. Give prob of picking 1 g, 1 i, and 1 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/11 + 1579188*t**3\/11 + 311729342418*t**2\/11 = 0?\nAnswer: -394797, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2 + (-28)\/(-16)). Solve c = -4*a - v + 29, -a + 20 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/3 + 38*m. Let x(w) = -5*w**2 - 1. Calculate v(x(y)).\nAnswer: -100*y**4 - 40*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/234183 and 61\/1004.\nAnswer: 936732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1539) + -1 + (sqrt(1539) - (sqrt(1539)*3)**2) + (sqrt(1539)*3)**2*3).\nAnswer: -166206 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a factor of 14533246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3395222*y**3 + 2*y - 1467824.\nAnswer: -20371332*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -39. Suppose 3 = -y*m + 2*m. Let s(o) be the first derivative of -o**3\/3 - o**2 + o + 2. Determine s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 28 + 186*k**4 - k**2 - 73 in the form n*k**2 + l*k**3 + m*k + t*k**4 + b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 - 68*k - 14. Let j be h(7). Suppose 7*g + 3 = 38. Solve g*d + j*d = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59602 and 13859218.\nAnswer: 235606706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 8) to base 16.\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 - b - 4. Let l be g(-5). Suppose -l = -3*f + 8. Suppose -2 - f = -5*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p - 2. Let h(u) = -77999*u**2 + 2*u + 1. Let w be h(p). Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2 and -21\/451.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 17. Suppose 9*l = 11*l + o. What is the remainder when (l\/4)\/(20\/(-1440)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -116. Suppose -4*o = -110 - n. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:25 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -6*p**2 + 0*p - 5\/8*p**4 - 1\/840*p**7 + 0 - 3\/2*p**3 - 1\/48*p**6 - 37\/240*p**5. Factor d(i).\nAnswer: -(i + 2)**2*(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 19*p**2 + 26*p + 12. Calculate y(-20).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -306, 0.4, 6, 2\/19.\nAnswer: -306, -5\/3, 2\/19, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25929923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16661, -16665, -16669, -16673, -16677, -16681?\nAnswer: -16685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4\/18 + (-3099)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -16. Let t = 3 + -16. Let o = v - t. What is the nearest to -1 in 2, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -6, 0.4, -24, -0.269?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*u = -25, -l - 5 = -2*u + 8. Let k be (l\/(-10))\/(6\/16). Solve -k = -3*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let b = d + -1. Solve g - 6 = b*m + 5*g, -5*m - g = -21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863004013 to the power of 1\/2, to the nearest integer?\nAnswer: 29377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 + (-1 - -2 - (119 + -92)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i + 8. Let g(m) = -14*m + 6. Let v(s) = 3*c(s) - 4*g(s). Let f(n) = -6*n**2 + 3*n. Give v(f(t)).\nAnswer: 24*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111010010000101 (base 2) to base 4\nAnswer: 13102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1))**6)**28)**(-20) assuming k is positive.\nAnswer: k**3360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**5\/60 - r**4\/12 - 5*r**3\/6 - 4*r**2 + 17. Let s(k) be the second derivative of b(k). Give s(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3019888 and 8849.\nAnswer: 3028737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23777*z - 11923*z - 11855*z - 667*z**2.\nAnswer: -667*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 16*p - 155340 = -18504. List the prime factors of p.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 0*l - 2*l + (-3 + 4 - 3)*(-3*l + 4*l - 3*l) - 6306*l - 5728*l + 11253*l in the form f*l + h and give f.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 10102222222?\nAnswer: -10102222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:15 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 25 = i + 8*z, -192*z + 190*z = -18*i - 130 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/8 - (-42)\/56. Suppose 8 = -h*q - 4, 64 = -3*u - q. List the prime factors of (30\/u)\/(1\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 585\/12 + 3\/12. Suppose 4*f - i + 1 = 0. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20101153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.4, -5, -5.3641?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3\/5 + 7356*u**2\/5 - 176505*u - 12709398\/5 = 0.\nAnswer: -2566, -13, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 1. Let n(h) = -66*h - 13*h + 78*h. Calculate -10*n(v) + 2*y(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = 0. Suppose -2*t = -d*t + 8. Let j be t\/(-10) - 51\/15. Which is greater: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 9*o + 13. Let i be (-66)\/8 + (-5)\/(-20). Let j be r(i). Is 16 a factor of 1981\/j + 1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Let d = -0.0391116 - 0.1608884. What is the closest to 1 in 0.1, 8, t, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.5596ug to nanograms.\nAnswer: 81559.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {j: 5, g: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72009, -143266, -214527, -285792, -357061?\n\"Answer: -2*y**2 - 71251*y - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/369 + 12\/41. Let 0*q + 2\/9*q**4 - 2\/9*q**3 - f*q**2 + 0 + 2\/9*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -19*u**3 + 8*u**2 - 7*u - 1. Let y(l) = -l**2 + l. What is -f(x) - 6*y(x)?\nAnswer: 19*x**3 - 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52845041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 8*c + 2. Let q be m(6). Let r be q + 3\/(9\/3). Let t = r + -14. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u - 3. What are the prime factors of o(-8)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/1)\/12)\/((-19)\/((-1710)\/(-170))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088 divided by 272.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 24*h + 722. Let j be l(-30). Let b(x) = -x**2. Let y(i) = 7*i**2. Give j*y(f) + 6*b(f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 3*s - 6. Let p be y(-5). Let n = 76 + p. Calculate the least common multiple of (-4)\/46 + (831\/345)\/(18\/180) and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (401*u**2 - 401*u**2 - 48*u**3)*(-2 + 2 + 2*u) + (2*u + u - 2*u)*(-u**3 + 0 + 0) to the form q*u**4 + h + d*u**3 + n*u**2 + y*u and give q.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 + 5*o**2\/2 + 4*o + 14. Calculate t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42627 rounded to 3 decimal places?\nAnswer: 0.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - k + k)*(0*k - 4*k + 3*k) + k**4 + 2*k**4 - 2*k**4 - k**4 - k + k + (-k**3 - 2*k**3 + 5*k**3)*(0*k - 2*k + 4*k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1239, 1241, 1243, 1245, 1247?\n\"Answer: 2*p + 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 333528 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - x**2 + 42. Let u be q(0). Let p(h) = h**3 + 15*h**2 + 12*h - 7. Let z be p(-14). Calculate the greatest common factor of z and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 5. Let a = u - 1.3. Let y = 1 - 2. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 485550 and 485552 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -448 - 146. Suppose -z - 133 = -2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47598155\/2300)\/(-197) - -105\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 547*m**3 + 11*m - 2*m.\nAnswer: 547*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 573620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12363, -24788, -37213?\nAnswer: -49638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176724003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/13))**(3\/25)*(n**(-5\/2)*n)**(6\/7))**33 assuming n is positive.\nAnswer: n**(-85437\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 10. Let h(r) = -5*r - 29. What is 8*g(p) - 3*h(p)?\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -467 (base 9) to base 8\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8447527309 to the nearest integer?\nAnswer: 91910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:48 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -450.3 - -450. Let q be 18\/8 - (3 + 0). What is the closest to 0 in q, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63176 and 4228?\nAnswer: 66777032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*o - 23495 - 82525. What is the highest common factor of 93 and o?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*z - l, -9*z + 4*l - 32 = -7*z. Is 46 a factor of ((-24)\/z)\/(6\/345)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = 12. Let p = 1127 + -15739\/14. Find the common denominator of ((-62)\/(-44))\/(1 + j) and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 5. Is n(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**6 - 6*f**6 - 28*f**2 + 10*f**2 wrt f?\nAnswer: -1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 12*d**2 - 8*d - 47. Let n be z(-6). Solve 0 = -3*u + 5*y + 16, 5*u + 4*y - 1 = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*v**2 + 582*i*v*x - 56*i*x - 8*v**2*x - 28*v + x with respect to i.\nAnswer: -2*v**2 + 582*v*x - 56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 19 + 3*u - u to the form s*u + c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 1\/9 (c) -15 (d) -1\/2 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 16 - (4 - (-9 - -11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/11)\/(u**(2\/11)*u)*u**(-1\/6)*u**(-1\/11)*u*(((u*u**1)\/u)**(3\/29))**25 assuming u is positive.\nAnswer: u**(3761\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1270 + -1271. Which is the third smallest value? (a) 4 (b) u (c) 0.2 (d) -4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/1699, -5, 4\/7, 2\/9?\nAnswer: 10\/1699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 79113.\nAnswer: -1\/79113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 81 = -k, k - 22 = -5*j + 52. Let n be -21 - 2 - (0 + -3). Let h = n + k. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/96 of a week in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.09616 to one dp.\nAnswer: 134.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4514085 + -4?\nAnswer: 4514081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 - 1\/((-3)\/(-27)*-3). Let i(l) = 6*l**3 + 11. Let c(m) = m**3 + 2. Determine s*c(t) + 2*i(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -14536?\nAnswer: -14540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1728, -1693, -1640, -1569, -1480, -1373?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 3746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6655 or -6725?\nAnswer: -6655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 18482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/720 - l**5\/60 + l**4\/12 - l**3\/6 - 3*l**2. Let p(m) be the first derivative of s(m). Find v such that p(v) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-240)\/15 - -1*4. Let k be (-23)\/(-4) - (-1)\/4. What is the units digit of k\/4 - (-6)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187\/56? (a) 0 (b) -2\/3 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/207 (b) -4 (c) 2679.7 (d) 1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2110031031 (base 4) to base 9\nAnswer: -1124643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52061, 104138, 156211, 208280, 260345?\nAnswer: 312406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4688*r + 4050 wrt r?\nAnswer: -4688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 44*z = 220. Let a(q) = q**3 + q**2 + 6. Let m be a(0). Does 15 divide (-2)\/m*3 - z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788800\/2831 less than or equal to 1339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023404 - 141210?\nAnswer: -1220114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 7174?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41231 + 4?\nAnswer: 41240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbatatzpbtpajzat. What is prob of sequence bttp?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.47 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*u + 6, 2*u - 6*d + 2*d + 8 = 0. Let a = -3 - -3. Suppose a = z + z - 8. Sort u, z, 1\/5 in ascending order.\nAnswer: u, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1381 - -3494. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5261966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 24. What is the nearest to -2\/3 in v, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5761 + 4*b + 5761.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124 - 37*p + 238*p - 68*p + p**4 wrt p.\nAnswer: 4*p**3 + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**7\/350 - 11*t**6\/75 - 31*t**5\/12 - 949*t**4\/60 - 676*t**3\/15 + 278*t**2 + 2. Suppose f(l) = 0. What is l?\nAnswer: -13, -2, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 + 5*j - 3. Suppose 5*n = 2*c - 61, -2*c + 13 = -c + n. Suppose -50 = c*g + 76. Determine z(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 8*y - 5. Calculate the remainder when p(-6) is divided by (-1955)\/34*((-32)\/(-20) + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 11100220?\nAnswer: 11101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Let x be z*(3\/((-1944)\/1598996) + 0). Let y = x - 7404. What is the common denominator of y and -29\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 117 = 3*o - 3*y, -4*y = 2*o - 224. Calculate the highest common factor of 162 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + 30. Suppose -10 = -3*i + q + o, -2*i + 2*q + 16 = 0. Solve 5*d + 6 = 2*n + 3*d, i*n + d = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18539 is divided by 1272.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33435.01 and -1.86415.\nAnswer: 33433.14585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -2) + (-2 - -3). Let v be 2\/(-8) - (-9)\/(-12). Let t = v + k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*x, -3*y - x + 0*x - 242 = 0. Let p = -76 - y. Differentiate -30 + 2*c - p*c + c + 4*c**3 with respect to c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22013 - -321?\nAnswer: -21142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {c: 7, f: 1, x: 2, g: 1, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2939 + 6191. Let j = a - -647. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18429152 to the power of 1\/2, to the nearest integer?\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pipi when four letters picked without replacement from piiiipi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = -u, -l - 3*u = -8*u - 13. Suppose l*r - 1 = b - 9, -2*b + 2*r + 8 = 0. Let -9\/5 - 3\/5*g**b - 12\/5*g = 0. Calculate g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/5))\/y*y)**25)**(20\/11) assuming y is positive.\nAnswer: y**(300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o, -c + 6*c - o - 21 = 0. Let r(y) = y**3 - 3*y**2 - 2*y + 7. What is the remainder when r(c) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by 25\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5*v + 114*c**3*v**2 - 7*c*v**2 - 53*c wrt c.\nAnswer: 60*c**3*v + 684*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 50*u**2 - 6*u + 166. Calculate j(25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 190? (a) 3\/8 (b) 0 (c) 5 (d) 0.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, -1, 0.1, -97853?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 + 13)) + -3 + (6 - -34).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(187)\/sqrt(11) + -6*sqrt(17)*-3)**2.\nAnswer: 38*sqrt(17) + 6138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 985, 1763, 2529, 3277, 4001, 4695?\n\"Answer: -i**3 + 785*i + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -1405, -3174, -5653?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2860 and 351351?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*1*sqrt(119) + sqrt(119)*2*-1)\/(1*sqrt(35)\/(sqrt(5)*1))*-5.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67615*k**2 - 67419*k**2 + 202445*k**2 - 67409*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -4.7. Let f = -6.5 + 3. Let v = f - l. What is the third smallest value in 3, v, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvylukyllrllyy. What is prob of sequence ryu?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/3, 9, 3 in increasing order.\nAnswer: -1\/3, -2\/11, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438 (base 11) to base 2.\nAnswer: 1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -x + 5*y, 14*x + y + 6 = 9*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3943, -23205, -55309, -100255, -158043, -228673, -312145?\nAnswer: -408459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1\/2, -0.3, -2\/7, -729?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -1)*(-1)\/(-2). Suppose -5*y + n*v = -82, 0*y + 8 = y + 2*v. Let i = 11 - -11. What is the lowest common multiple of y and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*j*k**2 + 8*j*k + 2 wrt k.\nAnswer: -422*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/41, 2\/5, 0.7, -0.04, -0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6201385*k + 37804 - 37804 - 6201396*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115596, 118811, 122028, 125247, 128468?\n\"Answer: y**2 + 3212*y + 112383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32*-2*(-1 - 7\/(-14)). Suppose -z*a = -209 + 17. Solve 16 = -2*r + a*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*h**4 - 15*h**4 - 6*h**5 - h**5 + 3*h**5 + 0*h**5 + (-3*h**2 + h**2 + 3*h**2)*(-4*h**3 + 3*h**3 + 0*h**3) - h**5 + h**4 - h**4 - h**2 + h**2 - h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/2*(-120)\/35. Solve -a = -4*u - c, 3*u + 3*a + 9 = 6*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*i - 16, -3*j - 3*i - 1 = 5. Let l be 24\/(-10)*(-15)\/j. Suppose 0 = -3*v + 4*v - l. Solve 3*f = v - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -948 + 3869. What is the remainder when (k\/69)\/((-1)\/(-12)) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/162*(0 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*s - 6 - 12, 2*s - 8 = x. What is the second biggest value in x, -3\/19, -4?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 18*u + 62. Let c be p(13). Let k(n) = n - 6. Calculate k(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 362*c - 68 + 29 - 147*c.\nAnswer: 215*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 13) to base 14.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 8*y - 3. Let n be v(8). Calculate the least common multiple of (n\/27*3)\/((-1)\/36) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/5 - r**4\/12 - 6*r. What is the third derivative of p(h) wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1035 + 2747. Let z(n) = 3782 - k - 2*n. Let v(h) = 28*h. Give v(z(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:21 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 - 3280*l**3 + 1348076*l**2 - 2686320*l + 1341522 = 0. Calculate l.\nAnswer: 1, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z**3 + 0*z + 0*z**5 + 2*z**2 + 1\/84*z**8 + 1\/24*z**4 + 0*z**7 + 0*z**6 + 0. What is the second derivative of r(w) wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 8 - 7. Calculate the lowest common multiple of i and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**3 - 7*b - 8*b**3 + 8*b**2 + 3 + 7*b**3. What is the tens digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 0.1, -3\/2, 37.5?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 0. Let b = n + -12.3. Let a = -1.5 + b. Are a and 4\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3 + 4 + 8 + 1 + 6*x. Does 32 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -209, -210, -211, -212?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28104007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842128.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 12*m - 17. Let k be z(11). Let o be k\/(-8) + -3 - 60\/(-8). Solve -4 + o = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324\/(-63)*(-483)\/(-1035)*(-3)\/(-4)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*w + 52 = 0, -c = -6*c - 3*w + 267. What is the highest common factor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/((-1)\/28). Let g = 14 + -8. Let c = -3 + g. Solve -x = -5*p + c*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 82b?\nAnswer: 80f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -283?\nAnswer: 25.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3720*r**3 - 3760*r**3 + 124*r**2 - 4*r**4 + 12 + 16 - 28 + 880*r.\nAnswer: -4*r*(r - 5)*(r + 4)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 21*k = 3. Suppose l - 177 = -k*q, -q - 4*q = l - 175. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 32*h = 5. Let z(y) = -28*y**2 + 2*y - 1. Give z(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 31627*z\/2 + 15814.\nAnswer: -(z - 1)*(z + 31628)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from fbfbbff.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1723.2 times -0.0088?\nAnswer: 15.16416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2021\/4 + 508. Calculate the common denominator of l and 73\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) + -2)**2 + (sqrt(11) - sqrt(99))*-1*-4.\nAnswer: -108*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9 and 38\/32989.\nAnswer: 296901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1)\/2)*0. Let k(y) be the third derivative of -1\/24*y**4 + 3\/2*y**3 + 0*y + 1\/120*y**6 - 1\/60*y**5 + y**2 + 0. What is k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (14 - (50 - (31 + -2)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 14*y**2 - 12*y - 8. Let t be o(13). Suppose -z + 2*v = -v - 16, -5*v = 0. Calculate the smallest common multiple of 52 and t\/(2 - 28\/z).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10)\/((-8)\/260). Let x = 46 - s. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(15 - 1712\/112)*16198\/104?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/79493612 and -15\/79493612.\nAnswer: 79493612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 43*n + 214. Let w be f(-5). Which is the third biggest value? (a) 0.5 (b) w (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15296949\/110 - 139062. Find the common denominator of h and -173\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 467, 5, 4, -1067, -3 in increasing order.\nAnswer: -1067, -3, 1, 4, 5, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -104\/15?\nAnswer: -104\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1399818 divided by -2.\nAnswer: -699909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o. Suppose 4*f + 12 = -4*g, o*f + 5*g + 35 = 5*f. Factor 2*t + 12*t**3 + 4*t**f + 2*t**5 + 0*t**5 - 7*t**2 - 5*t**2 - 8*t**4.\nAnswer: 2*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 362, 508?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -15*a**4\/4 + 11*a**2\/2 - 7. What is the second derivative of u(n) wrt n?\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6338263*v**4 + 8*v + 9280443 wrt v.\nAnswer: -76059156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 100. Suppose -3*s + 88 = 3*c + 37, 3*s + 5*c - f = 0. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.304 - 0.196. Put -0.4, 47, v, 0.1, -0.3 in decreasing order.\nAnswer: 47, 0.1, -0.3, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*x + 3 + 11*x - 3)*(0 - 2 + 4).\nAnswer: -282*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2587 less than or equal to -13311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 5*u + 2. Let f(r) = 7*r**2 - 9*r + 4. Give 3*f(m) - 5*w(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 21*b + 140. Solve 35 = -3*r - 5*z, 4*r + z = -z - b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/6 + 11*o**2 - 216*o. Let w(d) be the first derivative of m(d). Let f(r) = -r + 5*r + r. Determine w(f(t)).\nAnswer: 250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*t - 20514 = 4*o, -3*o + 30716 = 5*t. List the prime factors of o.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 0*b - 2 - 5*b - 3*b**2 to the form y*b + v + f*b**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003528 rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, v: 2, s: 1, k: 2, d: 1, a: 1}. What is prob of sequence jksa?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.116912 and 0.0156.\nAnswer: 0.132512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1619 + 546 = 5*d, 4*g = 3*d - 1322. Let x = d - 159. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21714457\/440 - 49351. Calculate the common denominator of 143\/12 and v.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 12*h - 8. Let s be m(-5). Suppose -s*b = d - 3*d - 638, -4*d = -5*b + 1278. Let t = 652 + d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 253*b + 60258. Determine z(248).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -4 (c) -3 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 11*a**2 + 3*a + 12. Let t be v(11). Suppose -8*z = -4*x - 3*z + 13, x = -2*z. Suppose t = -x*y + 11*y. Sort -3, -9, y in decreasing order.\nAnswer: y, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -41. Let g = 60 - l. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*x + 727 = -8883 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 47, -2\/15, -13, -40, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/76615311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/7 + 118*b**3\/7 - 228*b**2\/7.\nAnswer: -2*b**2*(b - 57)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1249 at most -1247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4179232878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/78 and -133\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14471121?\nAnswer: 3, 7, 98443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/sqrt(2) - (sqrt(5) - (sqrt(5) + sqrt(20) + -2*sqrt(20))))*6)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (7 + -14 - (-2 + -5)) - -28.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*m - 3*m**2 - 52 - 387*m**3 - 286*m + m**4 + 148*m wrt m?\nAnswer: 12*m**2 - 2322*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 3. Suppose -v*n + 86 = -2*f - f, 4*n - f = 152. Let g = n + -26. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 11 = 3*r, r + 0 = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77400000 rounded to the nearest 1000000?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 80.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.5. Let i = 1435 - 1435.05. Let y = -695\/7 - -99. Which is the closest to y? (a) i (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25404106 is divided by 247?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*x**6 - 4 + 3 - 26*x**6 - 21*x**2 + 14*x**2 wrt x?\nAnswer: -4800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 - 50666*s**2 - 3479*s - 17?\nAnswer: 6*s - 101332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 not equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 14*u**2 + 380*u**3 - 1141*u**3 + 382*u**3 + 0*u + u + 381*u**3 + 3 to the form i*u**2 + g*u**4 + s*u**3 + a + m*u and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -40. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 220*w\/9 + 10496\/3.\nAnswer: -2*(w - 192)*(w + 82)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-2)*-1)\/(-1). Suppose 0 = w*d - d - 28. What are the prime factors of (2 - 0)\/(4\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 32. Suppose 13*h - 11*h - 20 = 0. Suppose 0*z + z - 3*i - w = 0, -z - 3*i = h. Sort z, 2, 0 in decreasing order.\nAnswer: z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15705 and 2393.\nAnswer: 37582065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -654 - -353. Let h = -352 - q. Sort -3, h, 0.2, -0.3.\nAnswer: h, -3, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2693 + 2722. Is g greater than -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1235\/325 - 4\/5. Solve -6*c - 1 = -2*c + 3*d, -17 = -4*c + n*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/196 and -113\/224.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -222829, -444146, -665463, -886780, -1108097?\n\"Answer: -221317*w - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7 and 33\/15941?\nAnswer: 111587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 155, 232, 309, 386, 463?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -100111101001100?\nAnswer: -100111101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -800, -1190, -1580, -1970?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**3 + 141*s**2 - 25*s + 17. Calculate the smallest common multiple of c(-13) and ((-4)\/(-12))\/((-2)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-106 + 10 + -5 + -11)) + (-49 - -47)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 92290?\nAnswer: -92299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98 less than 5147?\nAnswer: 5146.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 46*g + 8 + 8*g - 23*g. Does 46 divide z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5149*w - 9*w**2 + 1 + 5146*w - 10292*w in the form o + h*w + z*w**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 + 3*f - 18. Let z be r(6). Solve -g + u = 8, -g + 2 = u - z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 7, s: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)\/(0 - 1). Suppose 2*m + x*m = 24. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78067 + -20.16058.\nAnswer: -78087.16058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -3. Suppose 10*a - 38 - q = 0. Solve 2*t - a = 3*i, -4*i - 17 = -2*i + 3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 + -217. Suppose 16*i = h*i - 260. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5959314*f**2*t - 487*f*t - 1293 wrt f?\nAnswer: 11918628*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -18. Is (d\/75)\/(1\/(-20)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*m + 70 + 70 + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -641040, -5, -41?\nAnswer: -641040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15*c + 64. Let z be h(4). Suppose -z*d = -352 - 380. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2266, 3, -4, 5, -14 in ascending order.\nAnswer: -2266, -14, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/16, 0.2, -509, 4, 0.1 in descending order.\nAnswer: 4, 3, 0.2, 0.1, -1\/16, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/9 + (-1)\/3. Let j(a) = -8*a + a + a + c*a**2 - 1 - a. Is j(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*t + 2, -4*b = t - 0 - 6. Let s be t - -72*(1 + 1). Does 9 divide (-2)\/(-3) + s\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/55)\/((-28)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*-5)\/sqrt(12) + sqrt(26) + sqrt(26))\/sqrt(2) - (-3*sqrt(52) - (-1*sqrt(13) + 5)))*6.\nAnswer: 30 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -198\/5? (a) -1 (b) -14 (c) -7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 60 = -3*u - 14 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192451283 - -10450.\nAnswer: -192440833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 41)\/(0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Let q = -16 - -21. Let v = -32\/3 - -10. What is the second biggest value in v, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3399.91725.\nAnswer: -6799.8345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(90)\/sqrt(3) - sqrt(30)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 + -275. Is -72 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88755573 is divided by 587.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((77\/(-21))\/(-11)). Suppose o*k = l - 0*k - 2, 3*k = 0. Which is the third biggest value? (a) -2\/7 (b) 0.1 (c) l (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 5, 2 in increasing order.\nAnswer: -8, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -342.4 + 189017.42\nAnswer: 188675.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 19*z + 3*f - 15 = 0, 513*z - 511*z - 54 = -6*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631753527 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*g**2 - 697*g?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 17\/(-9))*-2. Suppose 63*c - 5 = 68*c. What is the closest to j in -4\/7, -2, c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23949 + 23954. Put -2, n, -3, 24, 15 in decreasing order.\nAnswer: 24, 15, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 33. Let s = -0.4 - 0.1. Let n = s - g. Which is the nearest to 0? (a) n (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zooeettweeo. Give prob of sequence to.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 6*l + 0*l)*(-3 + 4 - 3*l + l) - l**2 - l + l + (0 + 4 - 6)*(-l**2 + 4*l**2 - l**2) + (16*l - 785 + 785)*(48*l - 13 + 13).\nAnswer: 767*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 - -148. Let f = 31.3 + u. Let p = 8.1 - 4.1. What is the nearest to 1\/2 in p, -2\/17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.98 - 0.02. Let g be 5*((-696)\/15)\/(-4). Let l = g + -59. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Let p = -3 + m. Suppose 3*j = p*d - 4, j + j = -2*d + 24. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3446\/949 or -5?\nAnswer: -3446\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32927 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggsg when four letters picked without replacement from sssgssssssssssssssgg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.138 (b) -0.2 (c) -5 (d) -4 (e) 580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (209\/(-114))\/(9\/((-567)\/7161)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from qmqqqqmqqqqlqqqmlq.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -1, -10078, -140.\nAnswer: -10078, -140, -115, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/17 + -81\/85. Let t = 28\/25 - 31\/50. What is the biggest value in x, t, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1\/((-2)\/168). Let v = f + -40. Suppose -43*k = 4*n - 44*k - 53, k + 39 = 3*n. What is the greatest common factor of n and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34344 - 25035?\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times -0.04\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 13*l**2 - 15*l + 25. What is the smallest common multiple of n(14) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/15 + 85892*s**4\/5 - 515336*s**3\/5 + 3091988*s**2\/15 - 858882*s\/5 + 257664\/5 = 0.\nAnswer: 1, 3, 128832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -38\/273, -4, -2\/57, -0.5 in descending order.\nAnswer: -2\/57, -38\/273, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5069267 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -381443.171 to the nearest one thousand.\nAnswer: -381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.2 = -1009975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.229948mg in tonnes?\nAnswer: 0.000000006229948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100.34 + 0.3.\nAnswer: 100.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406621 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4563 (base 7) to base 9\nAnswer: -2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/43))\/q)\/(q*q**(-6))*(q*q**(-3\/5))**(-10) assuming q is positive.\nAnswer: q**(88\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48213 is divided by 24099?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -36. Let u(p) = -p**2 - 1 + s*p**3 - 3*p + 4*p + 0*p. Is u(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 10 = 0. Let r be (-4413)\/(-75)*15\/x. Let k = r - 2172\/5. What is the common denominator of 9\/20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5 = -10*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -119, -62 in decreasing order.\nAnswer: -1\/2, -62, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s - 4. Let a = -4 - 1. Let v be r(a). Suppose -8*h - 4*h = -60. Solve v*q = q + g - 17, q - g = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.227, 1\/5, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/9 + 2*u**3\/9 - 10*u. Factor x(k).\nAnswer: 4*k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(-3 + 8). Suppose -d = -3*d - 2. Let i be d + (5\/2)\/(-5). What is the closest to 2 in -4, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n - 12 = -82. Solve -19 = n*p - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -8) + -644 + 679.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 58.888, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*r - 14, 2*r = -0*o - 3*o + 6. Solve -4*w = -2*m - o, -5*w + 0*w - 4 = 2*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 1462 + k + 39*k**2 - 2930 + 1461 to the form o + y*k**2 + d*k and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + -4.85. Which is the biggest value? (a) 10 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 133323*h - 96167*h + 3 - 37163*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from rdrdrdrrddrd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -13. Suppose 0 = 3*m + l - 339, 4*l + 354 = n*m - 0*l. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/75 + (-3)\/9.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + 11. What is the remainder when d is divided by 0 + 14 + -6*3\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*w + 5. Sort 5, 0, w in increasing order.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*z**4 + 4903*z - 1210*z**3 + 1203*z**3 + 13*z**2 - 13*z**2 wrt z.\nAnswer: 636*z**2 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Solve 4*p + 15 + o = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25814.\nAnswer: 2, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**2 - 6. Let x be d(-2). Suppose -46*u = -41*u - x. Solve 0 = 4*a + u + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 4. Let h be z(-5). Suppose -4 = 5*j - h. Find the third derivative of -2*a**4 + 2*a**2 + 4*a**2 + 3*a**4 + j*a**4 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3281 + -32ac?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/10 + (-126)\/(-60). Put 4\/3, -0.1, o in descending order.\nAnswer: o, 4\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 33. Let f be c(-15). Let a be 18 - 21 - (2 - 7). Put a, -1, -6, f in increasing order.\nAnswer: -6, f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4159*l - 77.\nAnswer: 4159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 786\/3414631 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 3. Let l(g) = 4*g - 4. Let t be l(3). Let w(r) = -r. Let u be w(t). What is the units digit of z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*b + 100, 2*p = 5*p + 4*b - 154. Suppose 9 - p = -2*z - m, z - 3*m - 29 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 49 = -2*x, -53*p + 50*p + 39 = 2*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2476352 times -0.256\nAnswer: 633946.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11475899 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312943 is divided by 804?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10416 = 4*n - 10476, -3*d - 5*n = 36 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 1079*u - 227298. Give j(-287).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + 0 + 3 + 0. Let b be ((-9600)\/(-36))\/(f\/49500). Round b to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 2*r + 1. Let a(k) = 16*k**2 - 7*k + 4. Let m(j) = -2*a(j) + 7*i(j). Let z(b) = 2*b**2 - 1. Determine -5*m(p) + 6*z(p).\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 1. Let d be g(-3). Suppose d*k - 10 = -0*k. What is the second derivative of -2*s**5 - 3*s + 4*s**5 + k*s wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Find the third derivative of 1 + m*d**5 - 1 + 8*d**2 + 2*d**5 wrt d.\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + 3*j - 4. Let a be v(-4). Suppose 0*t - t - 2 = a. What is the third biggest value in 0.2, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16) + 19\/4 + -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 - -2983\/15. Let d(u) = u**2 + 13*u + 7. Let q be d(-12). What is the closest to -0.1 in 0, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.097 to 1 dp.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j - 2931 = -3274 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60911536117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54344, 108709, 163076, 217445?\n\"Answer: s**2 + 54362*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 7*g + 5. What is b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 0.3, -18.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13 + 44 + 14 - 7513*u + 7442*u. Let o be q(1). Find r such that o - r + 1\/5*r**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 9642145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7905653 and 4.\nAnswer: -3.1622612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*i**2 - 73*i**2 + 31*i**2)*(0*i + 3*i - i)*(-6 - 6 - 10).\nAnswer: 616*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.63 + 14.63. Which is the nearest to -2? (a) w (b) 0.8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(42\/9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 2, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (394 - -3)\/1 + 1. Suppose 3*j + b = 2351. Suppose 5*q - 3810 = -5*x, q + 2*x - 113 = j. What is q rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*x = -459*x + 3401 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -170, -337, -504, -671, -838, -1005?\n\"Answer: -167*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -1300\/581?\nAnswer: -1300\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2540633 - 2540633.4999969. Let n = -0.3 - 0.2. Let v = r - n. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 286655*f**2 + 286660*f.\nAnswer: -5*f*(f - 1)*(f + 57332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 16 = -5*z, 4*k + 5*z + 0*z = 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101632268051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3991, 3, -3, 28, 157.\nAnswer: -3991, -3, 3, 28, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661412211?\nAnswer: 59, 521, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.22486 and 3\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3060)\/(-1785))\/((-2)\/(-448)). Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.48, -1\/2, 0.3.\nAnswer: -2\/3, -1\/2, -0.48, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - p - 3*p. Let k(d) be the third derivative of 0*d + 0*d**4 + 0*d**3 + 1\/30*d**5 - 5*d**2 + 0. Give k(r(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(-1 + sqrt(162) + 3))**2 + -1.\nAnswer: 720*sqrt(2) + 3319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/((-2)\/(-20)*3735\/7968)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 22*c**2 - 18*c + 67. Let f be j(-21). Find the third derivative of -3*q + 4*q**2 + 9*q**2 + 4*q - 68*q**f wrt q.\nAnswer: -1632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5851 - 5836. Calculate the least common multiple of 1374 and q.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449727, -449721, -449715, -449709, -449703, -449697?\nAnswer: -449691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(125) - sqrt(125)) + -2*(sqrt(125) + -1*sqrt(125)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490475.\nAnswer: 5, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1\/20*k**5 + 0 - 1\/120*k**6 + 7*k**2 + 0*k**4 + 0*k + 0*k**3. Find the third derivative of m(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from zjayazyfqjjjazq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 337662 and 11518026.\nAnswer: 103662234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -11. Let t(f) be the third derivative of f**5\/15 + f**4\/6 + f**3\/6 - 26*f**2. Let r(b) = -2*b**2 + 1. Let x(l) = r(l) + t(l). Calculate x(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 2*h. Let r be (-7)\/((-7)\/20)*h. Let o = r + 24. Solve 0 = -v + 4*b - 7, -5*v + 3*b = -o*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134988 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (1 + (-2 - 6)). Let s(w) = w**2 + 2*w - 3. Let g be s(-4). Suppose -k*o - g = -11. Solve 0 = -h - o - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -28 - -8 - -39.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5382 divided by 9?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -173328?\nAnswer: 173337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 356 = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 5*a - 5. Let y be c(-5). Let z be (-1)\/2*(-11 - y). Let p(k) = k**2 - 4*k - 2. Let w be p(5). Solve q - w = -j, -q + 13 = z*q + 5*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 23*l = 18*s + 47*l + 91, 2*s = l - 12 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:47 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 1\/5 (b) -3 (c) 2374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + l - 1. Let s(f) = 41*f**3 + 5*f**2 - 49*f + 5. Let y(w) = 5*b(w) + s(w). Find the second derivative of y(o) wrt o.\nAnswer: 246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*-8 + 8*4\/8. Let w = 109 + c. Solve -3*t = -w - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*o + 2*s + 20, -o + 26 = 3*s. Let m(p) = 3*p - p**2 - 4*p - 3 + o*p - 3. Does 4 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 + 20*m - 5. Let p(j) = -2*j**2 + 5*j - 1. Let a(i) = 9*p(i) - 2*v(i). Let q = 354 - 76. Let n = q + -274. Give a(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.71187, 2\/17, 0.4 in descending order.\nAnswer: 0.4, 2\/17, -0.71187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/792315 and -59\/11268480?\nAnswer: 101416320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*g + 319951 - 320098 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*((-15876)\/2484)\/(-147).\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/(-27))\/((-12)\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709 = 257*g - 718 - 10271 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let s be f(-6). What are the prime factors of (-1 + 3 + 0)*406\/s?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*c - 68*c + 196*c + 39*c**2 - 60*c - 2 + 2*c**3 to the form f*c + w + r*c**2 + l*c**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-4)\/4 + (-3 - -4). What is the least common multiple of 174 and (4 - -1) + s + 27?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9*y**2 + 379866*y + 4052928 = 0.\nAnswer: -32\/3, 42218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/60 - 7*a**5\/60 - 11*a**2. What is the third derivative of p(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167978 divided by 94\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6693 - -6692.9999993622. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1 - 75*b + 2*b**2 - b**3 - 7 + 47*b + 34*b + b**2. Calculate p(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 3 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 3 (c) 2\/17 (d) 0 (e) 3390\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-24) - 14\/168. Let f(n) = 4*n - 1. Let k be f(1). Let x = k + s. Solve x*r - 1 = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005320768 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrxrrrrrrrrrrrrpr. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 483629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149594799.\nAnswer: 3, 71, 702323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 200401103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 143074928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**3\/g*g*g\/g**(1\/6))\/((g*g\/g**(-3\/2))\/(g*g**(2\/13))) assuming g is positive.\nAnswer: g**(136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i**2 - 13*i - 5\/4*i**4 + 0*i**3 + 8. Differentiate q(f) with respect to f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 7. Is (c\/10)\/(11\/165) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 300\/(-25) - (-90)\/9. Suppose 3*u = 2*u - 12. Let p = -7 - u. Sort b, -5, p, -4.\nAnswer: -5, -4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-1\/3)\/(h**(-1)\/h*h)**(5\/4))**(10\/17) assuming h is positive.\nAnswer: h**(35\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:02 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/512 and 35\/5632.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b*b**(1\/11)*b)))**(10\/11)*b**17\/b**(5\/3))**(3\/11) assuming b is positive.\nAnswer: b**(6586\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/13)*c*c*c*c)\/c**(-1))\/((c\/c**1)\/c)**(-35\/2) assuming c is positive.\nAnswer: c**(-295\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 - 24*h + 5. Let k be g(-5). Let l(f) be the first derivative of -2\/3*f**3 + 1\/6*f**6 - 1\/2*f**2 + 2\/5*f**5 + 4 + 0*f + k*f**4. Factor l(x).\nAnswer: x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30348, 30338, 30322, 30300, 30272?\n\"Answer: -3*y**2 - y + 30352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 9678*p + 86709. Give l(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 350620 to the nearest one thousand.\nAnswer: 351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*p = -5*q + 243*p - 27, -4*q = 3*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2260 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 360050767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i. Let b(j) be the third derivative of 1021*j**5\/30 - j**2 + 2553*j. Calculate l(b(g)).\nAnswer: -6126*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = -3*v, 292*v + 6 = 290*v + 3*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 n when four letters picked without replacement from {f: 6, n: 8, q: 1, d: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/6)\/(-5)*-27. Suppose -q = -5*m - 4. Let c(a) = 2*a**2 + a - 1. What is c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -18*z**2. Let p(l) be the first derivative of l**3\/3 - 51*l + 59. Let r(x) be the first derivative of p(x). Give r(h(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 46. Let l(a) = -a. Determine -2*l(h) + s(h).\nAnswer: -2*h - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -10405540?\nAnswer: -10405551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/60 + r**4\/6 + r**3\/2 + 2*r**2. Let c be s(3). What is the remainder when (2 - 0)\/(c\/21) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548500 and 387125.\nAnswer: 1548500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, h: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**8\/112 + f**7\/70 + f**6\/40 - f**5\/20 + 7*f**2. Determine k, given that v(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -29*l**3 - 7*l**2 + 15*l + 64. What is the tens digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6678, 13360, 20042, 26724?\nAnswer: 33406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192973365 a multiple of 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/1911)\/(12\/112).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) 4 (c) -5 (d) 3 (e) 735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -5.94. Let f = -1.8 - k. Let h = -4 + f. Which is the nearest to -1? (a) h (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:33 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 6, e: 3, f: 2, c: 6}. What is prob of sequence fs?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682.6366 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 6:56 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*m**2 - m - 68*m**2 + 18*m**4 + 1 to the form c*m**3 + x*m**2 + g*m**4 + j + s*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + r**3 + 3*r**3 + (-3*r + 2 - 2)*(4*r**2 - 4*r**2 + 2*r**2))*(6*r - 3*r - 2*r).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -68?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -204*i**3 - 20*i**2 - 10*i + 8. Let q(g) = -g**3 - 2*g**2 - g + 1. What is -10*q(p) + y(p)?\nAnswer: -194*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (2 + -3 + (-13 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -362392\nAnswer: -3\/45299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + l**2 - 11*l. Let u be r(0). Solve -u*x = 1 + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.34 - -26.16. Let o = 38 - r. Let t = 3.1 - o. Round t to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34959733 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2145)*11*-1625?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468968.\nAnswer: 2, 3, 97, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + (2 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 87. Put -0.2, -2\/7, 3\/11, z in increasing order.\nAnswer: -2\/7, -0.2, 3\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6)\/sqrt(3)))\/sqrt(6) + sqrt(72) + 0 + 5.\nAnswer: 5 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13 - 75 = 0. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1505853*q**3 + 2005552?\nAnswer: -4517559*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-14 + 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = -1. Let z(m) = 2*m**2 - 96*m + 94. Let p be z(47). Solve p = -k*a - 4*b + 12, -3*b + 12 = a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/1122*1720 - -26?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 2. Let p be q(-8). Is 326\/p + 8\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 677, 1661, 3567, 6701, 11369, 17877, 26531?\nAnswer: 37637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 141129.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.6 (c) -0.0711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3 + 3)*(4*k**2 + 6*k**2 + 2*k**2) + (3 - 3 - 4)*(-2*k**4 + 9*k**4 - k**4).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-6)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821095994 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((9 - 7)\/10). Let c be (-34)\/l - (-12)\/5. Solve 4*y = n - 5, -c*y + 5*n = 3*y + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29\/69 + -2\/23. Let p = 0.68 - 1.68. What is the nearest to d in -3, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2028*z**2 - 155844*z - 2994003 = 0 for z.\nAnswer: -999\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -4, 15, -3, -16678?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 820 in decreasing order.\nAnswer: 820, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -475. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 359*l + 4208. Calculate x(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 9. Let a be v(6). Find z, given that a + 1 + z**3 + 6*z**3 + 23*z**2 + 10*z + 10*z = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*s**3 + 131*s**3 - 40*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 25212100 to the nearest 100000.\nAnswer: 25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19332\/(-4296) - 105\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 10:47 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*15*104\/(-1170)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 11)*(-4 + 6 - 4 - f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63022, 63025, 63030, 63037, 63046?\nAnswer: 63057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - l)*(-l**3 - l + l) + (-3*l + 0*l + 5*l)*(6*l - 6*l + 4*l**3)*(-1 + 2 - 3).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*d + 44 = 0, 6*b - 86 = 2*b - 5*d. Suppose b = 2*k + 10. Calculate the remainder when 18 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let y be k(3). Suppose y*l - 13 = 9. Solve 4*d = -l - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/48)\/(1\/4). Let z be -2*((-12)\/(-8) - m). Let c be (-2 + 0 - 1)\/z. Calculate the greatest common factor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42291 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772231 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 4*s + 4*n, 7*s + 1427 = -3*n + 1035 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2 + 1053*q + 89610 = 0.\nAnswer: -206, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2152, -4, 1\/4, 7720?\nAnswer: 7720","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let b(w) be the third derivative of w**7\/840 - w**4\/6 - 3*w**2. Let l(c) be the second derivative of b(c). Give j(l(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 407. Suppose -y + 2*j - 4*j = -38, 3*j + 108 = 4*y. Calculate the highest common divisor of m and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 1. Let i be t(0). Let r = -0.7 - -0.7. Let m = -3 - r. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 divided by -305?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -443.318 and -144?\nAnswer: 299.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*n + 108 + 67, n = -2. Is (2 - 2) + j\/(-1) 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 13783?\nAnswer: 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 36.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*o - 129, 5*f - 121 = 2*o - 0. Let p(y) = 28*y + 4. Let a be p(7). Calculate the highest common divisor of f and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5863211?\nAnswer: 5863211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 + 3*o + 1\/6*o**4 + 5\/2*o**2 - 4\/3*o**3. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 20*d**2 - 7*d + 140. Let m be z(20). Let a(n) = n**2 + 2*n - 9. Calculate a(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 16 = -r + 3*r, -2*r + 4 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 3, 2 in decreasing order.\nAnswer: 16, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137411 and 134402?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-5)*x)\/x*x*x)**(-2\/45))**(-7\/4) assuming x is positive.\nAnswer: x**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(104)\/(-1*sqrt(8)*5))**2 + 2.\nAnswer: -77\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*b - 112 = -37*b - 270 - 279 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10162918.8 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 24528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/6*(-8)\/10. Let g(o) = 0*o**2 - 5*o**2 + o**2 + v*o**2. Let r(x) = -x. Determine r(g(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 2 t when four letters picked without replacement from {x: 3, t: 9, l: 2, g: 4}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 1820 = -4*d. Suppose -5*t - 2*o + d = 0, -4*o + 5*o - 53 = -2*t. Calculate the remainder when 119 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111003 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 4, w: 3}. Give prob of sequence wqwq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 7*b + 6. Suppose 0*j = 3*j - 9. Suppose -3*k - 21 = j*u, 2*u = -k - 0*k - 14. Let y be i(u). Calculate the highest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1593, 1322, 561, -684, -2407, -4602, -7263?\n\"Answer: t**3 - 251*t**2 + 475*t + 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3254 + 3260. Suppose -3*n = -n - 6. Sort 4, n, r, 2\/5 in descending order.\nAnswer: r, 4, n, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 + 1470*y**2 - 341940*y + 15397960 = 0.\nAnswer: -458, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m + 8. Let k be z(-5). Let u = k + -61. What is the common denominator of 13*(u\/8 + 2) and -31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 76. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 143. Find the third derivative of -8*c**4 + 59*c**4 - 135*c**s - 94*c**4 - 24*c**2 wrt c.\nAnswer: -4272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176607*f**2 + 107357 wrt f.\nAnswer: 353214*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*h + 179*h - 9526. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16091 - 7022\nAnswer: -23113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and 29315?\nAnswer: 29326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -938 - -923. Let j(u) = -2*u**2 - 31*u - 17. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(20\/(-5)) - 10. Let c be 5\/(m\/(-4))*3\/6. Solve k - 5*o - 10 = 0, -2*k + 1 = -o - c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**(-4))\/((w\/(w**(-4\/3)\/w)*w)\/(w**(-3)*w)) assuming w is positive.\nAnswer: w**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -117 - (-910 + 836).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let r(t) = -t - 2*t - 2*t**2 - f - 2*t. Let z(y) be the first derivative of 2*y**3\/3 + 2*y**2 + y - 1. Determine -5*r(m) - 6*z(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91\/1020 - 2\/51. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let t(b) = 3114*b**2. Determine c(t(w)).\nAnswer: 3114*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a60 (base 12) to base 15.\nAnswer: 6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onslnsrneors. Give prob of picking 2 r and 1 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*249.701368.\nAnswer: -24.9701368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 42*m + 13 - 44*m + 9. Let p be h(-9). Solve -4*c + 5*x + p = 0, -x = 4*c - 12 - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 246*s**2 - 4259*s - 17542. What is a(-262)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*732\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - 75. Let d = j - -158.9. Which is the closest to -0.2? (a) d (b) 0.043 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*k + 195. Solve -5*f = r + k, -11 = -f + r + 2*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j - 6. Let i be c(-1). Suppose 5*m = -2*v - 7, 2*m + 26 = -0*v + 5*v. What is the highest common factor of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = 6 + 57 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {m: 2, j: 1, q: 2, z: 1, l: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -155*w**2*x - 6*w**2 + 2*w*x + 27889*x wrt w?\nAnswer: -310*w*x - 12*w + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84 * -515.\nAnswer: -43260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 652, -1, -35 in ascending order.\nAnswer: -35, -1, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, c: 3, q: 3}. What is prob of sequence pcc?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4380)\/(-2970))\/(-73))\/(8\/36).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 5*v**2 + 5*v - 1. Let k(r) = -4*r**3 - 9*r**2 + 9*r - 2. Let j(i) = 3*k(i) - 5*t(i). What is j(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3675)\/(-60))\/(2\/24) is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 bigger than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 454 + -456. What is the closest to 1 in a, -7, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/15 + 16*a**2\/15 - 6*a\/5 - 12\/5 = 0. What is a?\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*o - 81*o. Solve 2*h = 4*r + 26, 0 = -r - 2*h - o*h + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -789, -727, -623, -477, -289?\n\"Answer: 21*w**2 - w - 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3294 + 3575. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 1, p: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 2*q - 7. Let k be x(4). Calculate the greatest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 4, b: 3, i: 1, l: 4}. What is prob of picking 2 x and 2 b?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5308285126 to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -41*g + 6. Let r be u(-1). Let n = r + -45. Solve -b - 3*x + 5 - 2 = 0, -n*b - 2*x = -2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0152436034 to six decimal places.\nAnswer: -0.015244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99665.38 litres?\nAnswer: 99665380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**8)*b**(-1\/4)*((b\/(b*b*b*b**(-4\/5)))\/b*b)\/b*b\/((b*b**(1\/3))\/b)*b assuming b is positive.\nAnswer: b**(-527\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1116.5 - -1116. What is the nearest to 0.1 in 1\/5, -2.6, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00090366 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 572\/5 (c) -1.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*o**2 - 122*o**2 + 166*o + 74*o**2 + 79*o wrt o.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-45)*-3 + -61 + 66 - (-759)\/15.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -5) + -6 - (21 + -21) - -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41295 times -4?\nAnswer: 165180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 5. Let r = d - -9. Suppose m - 14 = -r. What is the greatest common factor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2959716, -2959701, -2959686, -2959671, -2959656, -2959641?\nAnswer: -2959626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*b - 5*n, -3*b + 3*n + 2 = -28. Suppose -2 = 6*h + 4. Calculate the least common multiple of b and 1 + 14 + -3 + h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.29 + 1.15. Let x = z - -0.54. Let p = -3 + 0. Sort -2\/3, p, x in descending order.\nAnswer: x, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148078394 to the nearest integer?\nAnswer: 12169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1726, -3469, -5212, -6955, -8698?\nAnswer: -10441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*g - 38. Let s(i) = i**2 + 16*i - 2. Let x be s(g). Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.015653 to 1 decimal place.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 83 - 9)*(-n + 0*n + 2*n)*(n + 1 - 1) as k*n**2 + j + p*n and give k.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*a - 119*a - 16*a - 3822 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 5:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**4*z**2 - 14*g**2*z**2 + g**2*z + 535*g - 3*z**2 wrt g.\nAnswer: 84*g**2*z**2 - 28*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10588.78 litres to millilitres.\nAnswer: 10588780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o**5\/3 - 368*o**4\/3 - 302*o**3\/3 + 1220*o**2\/3 + 400*o = 0. What is o?\nAnswer: -5\/4, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = -l, 3*x + 47 - 41 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*p - 7 = 3*n - 1087*p, -4*n + 3*p = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200696.\nAnswer: 2, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 862433 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7*w + 8166. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 + 19*q - 36. What is the remainder when 406 is divided by l(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 406*t - 264*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3515 and 1018055.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = -2*w, p - 72 = -5*w - 42. Is 19 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17780 - -17722. Suppose -4*a + 0*a = 160. Let n = a - q. What is the greatest common divisor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 376302912.\nAnswer: 376302912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94606 + -0.05394. What is the smallest value in o, -6, -18\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/10 + -2 + ((-441)\/(-35) - 10). Let p(i) = 3*i**3 + 2*i**2 + 10*i + 2. Let v(l) = 4*l**3 + 3*l**2 + 9*l + 3. Determine b*p(h) - 2*v(h).\nAnswer: h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*(c**(-3)*c)\/c*c)\/c)*c**(3\/5))**(-14\/11)\/((c*c*c**(-1))\/c**(5\/6))**(1\/14) assuming c is positive.\nAnswer: c**(-21223\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 74?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331.778 - -468179.5.\nAnswer: 467847.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j. Suppose -7*m - 91 = -8*m - 3*n, 5*n + 5 = j. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*k + 432 = 0, 4*k - 411 = -4*n + 7*k. Suppose 0 = -2*i - 4*u - 44, -4*i - i - 5*u - n = 0. Let l be (-22)\/(-5) - 2\/5. Sort i, l, -2.\nAnswer: i, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 95*l**2 + 21383*l - 21383*l. Let m(t) = 7*t + 9*t - 15*t. Give m(r(p)).\nAnswer: 95*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77992\/5 - 15599. What is the closest to 0.1 in w, -1\/5, -3, -162?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 202 = 15*c. Let r = 120 - c. Let m(o) = o**2 - 18*o + 42. Calculate the remainder when m(r) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -o - o, -o = x - 6. What is the second derivative of 11*s + x*s - 23*s + 7*s**2 wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4 - 4)*(650 + p + 20310*p**3 - 650 - p + 187077*p**3).\nAnswer: -414774*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) 1 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 0, -95 + 5 = -5*f + 5*q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -36918, 31 in increasing order.\nAnswer: -36918, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599889 is divided by 299939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 0) + -145 + 156 + (-38 - -3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 9. Let d(g) = g**2 + 1. Let z be (-2)\/(100\/(-92) - -1). Let s = z - 25. What is s*n(r) - 18*d(r)?\nAnswer: 2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 7. Let b be m(-4). Suppose -b*d + 136 - 36 = 0. List the prime factors of d\/70 + (-68)\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3556, -7119, -10682, -14245?\n\"Answer: -3563*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 591, 2289, 5695, 11385?\n\"Answer: 96*c**3 - 10*c**2 - 76*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 436*o - 1231. Calculate q(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -79?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12551, 1\/3, 3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5708 times 0.9?\nAnswer: -7.71372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6825 - -6825.2. Let m = 1.5 + -2. What is the fourth biggest value in 2, -1\/3, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {b: 1, m: 1, t: 1, h: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2, k: 4, y: 2}. What is prob of sequence ks?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/4*16\/(-24)*-2. Suppose j - 21*p = -19*p + 1, 2*p = 4*j + 14. Put 89, j, u in decreasing order.\nAnswer: 89, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -4, -30, 68, -5, -6 in descending order.\nAnswer: 68, 2, -1, -4, -5, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -4 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002120010112221100 + -12?\nAnswer: 1002120010112221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 149. Let w(g) = -7*g + 143. Calculate -2*q(z) - 3*w(z).\nAnswer: 11*z - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxj when three letters picked without replacement from {y: 2, j: 1, x: 2, w: 1, e: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-5)\/(-4)) - (138 + -131). Let f be (-4)\/6*135\/(-18). Sort p, 6, f, -5 in decreasing order.\nAnswer: 6, f, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/7)*d)\/(d**(2\/11)*d))**(-7) assuming d is positive.\nAnswer: d**(-96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9) + (-8)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/40 + -1 + 20\/16. Which is the second biggest value? (a) v (b) -2 (c) 1\/20 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1366378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*g - 10 = 0, -6*o - 4*g = -o + 8. Let m = -35 + 32. Sort o, 2, m.\nAnswer: m, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a**3 - 5*a**2 + 30*a**3 + 3 - 11*a**3 + 133*a**3 to the form m*a**2 + c*a**3 + q*a + h and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.1 + 42. Let t = d - 1. Sort t, 0.6, -1\/5 in descending order.\nAnswer: 0.6, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3892, -7886, -11882, -15880, -19880, -23882, -27886?\nAnswer: -31892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 512 - 296. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*v**2 + 0 + 6*v.\nAnswer: -3*v*(v - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -39*f + 30. Let h = 7.7 + -8. What is the closest to 0.1 in f, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j**5\/3 - 610*j**4\/3 - 1868*j**3\/3 - 1312*j**2\/3 + 1792*j\/3 + 2048\/3 = 0 for j.\nAnswer: -8, -2, -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 212996c + 32?\nAnswer: 21299a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 3*n + 4. Suppose y = -5*p - 3*y - 24, -4*y - 12 = 2*p. Calculate f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.97, 9530, -0.2 in decreasing order.\nAnswer: 9530, -0.2, -0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123\/(-105) + (-6)\/(-10). Let t = -40\/21 - f. Find the common denominator of -42\/5 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/8, 2.93, -3, -2.6 in ascending order.\nAnswer: -3, -2.6, 13\/8, 2.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107131960.061 + -107081941. Let f = x - 49966. Let i = f - 53. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 - -379. Suppose 2*r = -4*u + 208, 4*u + 0*r - z = -3*r. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-6)*1*2. Let i = 2.5 + -3. Let t = 1 - 5. What is the second biggest value in i, t, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.93 - -0.07. Let g = -15.9 + p. What is g rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:10 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 1276, 1279, 1282, 1285?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {a: 2, z: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(33)\/sqrt(3) - (sqrt(11) + sqrt(704) + -3)))**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:45 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teeeeeeeeeeeeetett. Give prob of picking 3 t.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 11. Suppose -6*d + 65 = -25. Calculate z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54059 - 69?\nAnswer: 53aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50068 is divided by 743?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.524899 rounded to 1 decimal place?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6515 - 1686 = -5*x, -3*x = 3*r - 4899. Calculate the remainder when x is divided by 163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 33*h**2 + 73*h + 79. Determine k(-35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 366433003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*j - 865 = 0, v - 462 = 5*j + 430. What are the prime factors of v?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302355 (base 7) to base 2\nAnswer: 1100100001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - 4*a - 4. Let r be o(-2). Let y be 6\/((r - 1) + 3). What is the common denominator of -59\/18 and (-6)\/((-360)\/175)*(-8)\/y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*j - 87*j**3 - 111*j + (-5 + 4 + 2)*(7*j**2 - 7*j**2 + j**3).\nAnswer: -86*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 451 + -150. What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/30856 or 1?\nAnswer: -1\/30856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22655*d**5 + 2*d**3 + 19528*d wrt d.\nAnswer: 453100*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.046.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11919277 smaller than -11919277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 974802983?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - b. Let g(t) = -t**2 + 3*t + 5. Let f be g(4). Let p be r(f). Find the third derivative of -2*w**2 - 3*w**2 + 4*w**3 + 0*w**2 + w**p wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20\/11 (b) -3\/26 (c) -3\/20 (d) 2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3160?\nAnswer: -15800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, v: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 6*l + 429*l**2 - 429*l**2 + 0*l.\nAnswer: l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 + 3*m. Let z = 43 + -47. Give o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*z**4 - 10*z**4 + 19 + 24 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.604 - 0.504. Are l and 200 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j - 152*j - 107*j - 2*j**3 + j**3.\nAnswer: -j**3 - 192*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -112*p - 1432. Calculate the lowest common multiple of y(-13) and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0407 - 950922.\nAnswer: -950921.9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -8, 4 in ascending order.\nAnswer: -8, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1*3\/(-4))\/(2475\/(-3350)) and 3\/(1188\/890) - (-6)\/27.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -139*l - 812. Calculate the remainder when 100 is divided by z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 19774*a = 19731*a - 142, 4*a + 28 = 2*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3\/(-3) + 1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.33 or 7.6?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139903*g**2 - 223701*g**2 - g - 50310*g**2 + 2*g.\nAnswer: -413914*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155952 and 864.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*n - 87*n - 104*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 461580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let d(a) be the third derivative of -112*a**2 + 23\/12*a**4 + 0*a + 0*a**3 + 0. What is d(i(u))?\nAnswer: -92*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3924 + -2321. List the prime factors of b.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*y - 5*v, -3*y + 6*v - 3*v + 6 = 0. Let q be 10*10\/25*(-1)\/(-4). Suppose 2*x - 35 + 9 = 0. Solve 4*h - q + x = y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t + 1535 = -959 - 633 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((5975\/(-15))\/(-5))\/(1\/33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 9, c: 2, b: 2, x: 5}. Give prob of sequence cob.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2)\/3 + 0. Suppose 1998 = -76*k - 1973 + 3591. What is the nearest to -1 in -0.1, f, 2\/3, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884 = 7*y - 33*y. Calculate the lowest common multiple of y and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 49*v**3 - 3814769*v**2 + 74249165120*v - 74245350400 = 0.\nAnswer: 1, 272480\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1604 (c) 5567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0)*(-106)\/159. What are the prime factors of ((-4306)\/n + -1)*11\/22?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-1\/3)))**25)**(-21\/2)\/(b*(b\/(b**(1\/2)*b)*b)\/b*b*(((b\/b**(-5))\/b)\/b)\/b*(((b*b*b**(2\/23))\/b*b)\/b)\/b*b*b**(-1\/3)*b) assuming b is positive.\nAnswer: b**(-49163\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose -3*j + b + 24 = -2, -5*b = -j + 32. Let h(m) = -5*m**2 + 15. Let s(a) = -3*a**2 + 8. Let l(p) = j*s(p) - 4*h(p). Determine l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 1\/8 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**2 - f + 2. Suppose -3*l - 3 = -0*l. Let x(q) = -q**2 + q - 1. Let u(d) = l*z(d) - 2*x(d). Find the second derivative of u(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1 (c) -0.2 (d) -4627 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-m**3 + 1 - 1) + 238 - 5*m**3 + 28665*m - 28665*m in the form l + i*m + g*m**2 + x*m**3 and give l.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 64 = 2*o, 2125*q - o = 2126*q + 15 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -26, 4, -41 in descending order.\nAnswer: 4, -4, -9, -26, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -18 + (-2 - (2 + -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 6*2*sqrt(475) + sqrt(475)*-3 + 2)*4)**2*5.\nAnswer: 3078000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4. Let g(s) be the second derivative of -3*s**5\/10 + 27*s**2\/2 - 10*s. Give -4*g(h) + 27*y(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4903 + 4905. Let c = 11 + -7. What is k in -40\/13*k - 16\/13 + 14\/13*k**5 + 2*k**3 - 4*k**c + 68\/13*k**d = 0?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 28. Let t = d + -6. Find the second derivative of -t*g**5 - g + g**5 + 5*g**5 wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdoddobdokozzb. Give prob of picking 1 k, 1 o, and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = 5. Let i be (y + 2\/(-2))\/1. Solve 2*u + i = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 115 + c + 63 - 9*c - c - c + (3*c + c - 2*c)*(1 - 1 + 1) + 2*c - c - 2*c as q*c + u and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 533753851 from -0.493.\nAnswer: -533753851.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 5070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 11*r - 4*q = 136, 52 = -2*r + 2*q. Suppose -4*o + 4*z - 28 = 0, 5*o + 0*z = 3*z - 39. Let x be (o\/r)\/(-3)*4. Is x less than -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Suppose 0 = 4*f - b - 2537, 3 - i = -2*b. Is (-6)\/27 + f\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (12\/(-2) + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**5\/5 - 201*d**4\/4 - 1575*d**3 - 43659*d**2\/2 - 111132*d + 61. Factor v(w).\nAnswer: -3*(w + 4)*(w + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1584) - (-3 + sqrt(1584) + 0))**2 - sqrt(1584)) + 0 + sqrt(33)\/(sqrt(12)\/sqrt(4)).\nAnswer: -11*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -379.6 times -37.3?\nAnswer: 14159.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4470\/67, -4.3, 2?\nAnswer: -4470\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649011468 by 5.\nAnswer: -649011468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*-3*(-2*sqrt(24))\/sqrt(12) + 3*(-4 + sqrt(32)*5))**2.\nAnswer: -1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79915\/3262 - 2\/1631. Let l = 721\/9 - 1042\/13. Let f = l - -2467\/234. Find the common denominator of f and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 174 from -15.7.\nAnswer: -189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -256*j - 3902. What is the remainder when z(-16) is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 749833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0007? (a) 20 (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3) + 0)*(50 - 53)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1134) + (sqrt(1134) - (sqrt(1134) + sqrt(1134)*-1)*-3))\/(-2*sqrt(72)).\nAnswer: -3*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -215.\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 70518?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1118539930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.982 + 102.5. Round m to two decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -178, -169, -156, -139?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 8, z: 1, g: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and 59\/92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a2 + -188e?\nAnswer: -16dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 207?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8993485 to 2 dps.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l + 26*l + 21*l - 87*l + 52 - 57 + 19*l.\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2858*b - 5673. What is h(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w - 14. Let j be q(-7). Suppose j*f + 0*f = 16716. What are the prime factors of -2*(2\/(-14) - f\/42)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 8 - 2*b + 2*b - b. What is the units digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12004242 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122, 211, 296, 377, 454, 527, 596?\n\"Answer: -2*g**2 + 95*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**2 - 5. Let f(m) = 2 - 13*m - 7*m**2 + 13*m. Let q(y) = -7*f(y) - 2*p(y). What is the first derivative of q(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {b: 7, u: 12, c: 1}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 32*m - 23. Let i(l) = -l**2 - 24*l + 21. Let t be i(-25). Let c be y(t). Let s = c - -375\/2. Calculate the common denominator of s and 75\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 5*p**2 - 3*p**2)*(-1 + 1 - 2*p) + 19456 - 53*p + 53*p - 733*p**3 - 19469.\nAnswer: -731*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j**4)\/((j\/j**(-6))\/(j**(-4\/7)\/j)) assuming j is positive.\nAnswer: j**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k + 3. Let r be (7 - 3)*(1 + 0). What is f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550120 is divided by 1550066?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f, 0 = -p - 2*f + 19 - 1. Is ((-6)\/p)\/(1\/(-3086)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49437*-1\nAnswer: 49437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177607, 354065, 529383, 703567, 876623, 1048557?\nAnswer: 1219375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6082096 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/(((-5525)\/(-1020))\/(-65))*9\/(-396).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011209 rounded to seven decimal places?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37126710, -1\/7, -0.4 in descending order.\nAnswer: 1\/37126710, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16269\/2 - -8135. What is the third smallest value in -1, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, 7*i = 3*i - 2*j + 50. Let d(c) = -2*c + 1. Let w(x) be the first derivative of 5*x**2 - 6*x - 101. Give i*d(b) + 2*w(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -140 + -44823?\nAnswer: -44963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -84 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.178 + -0.038. Let f = -58 + 53.63. Let v = -0.37 - f. Sort r, v, 5.\nAnswer: r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msk when three letters picked without replacement from {s: 1, m: 1, d: 2, q: 1, z: 1, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 39. Suppose -5*d = -3*s - l, s - 14 = -0*s - 4*d. Calculate the remainder when 3 - (-1)\/s*38 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-3) - 8\/(-12). Let q = 23891 - 23888. Solve -i = -3*f - 5*i - 13, -i = q*f + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/11, 0.5, 0.8, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -676, -677, -678, -679?\n\"Answer: -g - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-5))\/((-4)\/130). Suppose -7*a + u = -3*a. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376331 divided by 6?\nAnswer: 2458777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, -25 in increasing order.\nAnswer: -25, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12109.\nAnswer: 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/8 - 11*s**5\/30 - 2*s**2. What is the third derivative of y(p) wrt p?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1\/4, 1\/2, -2\/19677?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 + -815. Let b = s - -593. Solve 6 = 8*v - b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:25 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15806, 15802, 15796, 15788, 15778?\nAnswer: 15766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20293)\/1841 + -6 + 17. Are -2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 34*b**2 - 14*b - 26. Is l(-17) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 496 - 496.0979. Round y to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 47*y + 649 = 0. Calculate the remainder when 216 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58012059.\nAnswer: 3, 7, 2762479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*o**4 - 2\/11*o**2 + 4\/11*o**3 + 0 - 4\/11*o = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3 - 11\/(-3)). Is p equal to 39\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q - 4. Let l be a(-2). Let w = l - -113. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 10, n: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 834*i - 21060.\nAnswer: -2*(i + 27)*(i + 390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuubuuuuuuubuuu. Give prob of sequence uu.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let f(u) = 90*u**2 - 55*u + 55. Let w(k) = -10*k**2 + 6*k - 6. Let n be -110*(4\/(-6))\/(8\/6). Let l(r) = n*w(r) + 6*f(r). Calculate g(l(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o)**(-12))**10\/((o**(-1))**(16\/5))**12 assuming o is positive.\nAnswer: o**(-1656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4) - 39\/13 - (-50)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 - 4*j + 7. Let z(p) = -p**2 + p - 1. Let n(y) = 2*y**2 - 4*y + 4. Let k(l) = -n(l) - 3*z(l). What is 6*k(q) + r(q)?\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -4, 23, 82, 185?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 2 + 33)*(-3*w + 3*w**2 + 3*w)*(-w**2 + 7*w**2 - 3*w**2) to the form x*w**3 + p + i*w**4 + j*w**2 + a*w and give i.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2436\/280*165\/99?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2835, 2837, 2851, 2883, 2939?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -47*k - 11. Let l be v(4). Let w = 210 + l. Solve -m - 4*i = 12, -3*i - w = m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*j*y**2 - 304*b*j + 19*b*y**3 + 2*b*y + 2*j*y**4 - 75*y**4 wrt y?\nAnswer: 114*b + 48*j*y - 1800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/46500720 and 125\/11957328?\nAnswer: 418506480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 17*h + 26. Let b be j(-6). Suppose 3*m = m + 3*x + 2, m = -3*x + 19. Solve 2*g = m*g - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222*3\/(-15)*(-3145)\/(-5032)*(-16)\/(-12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 7. Let s be m(5). Let g(r) = -2*r + 3*r**s + 2*r + 0*r. Let b(w) be the second derivative of -w**3\/3 - w. Calculate b(g(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + dc820?\nAnswer: dc823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + z = -3*z + 16, 2*k - 5*z = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/100219, -3\/4, 17 in descending order.\nAnswer: 17, -2\/100219, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27056 + 29741 = 1884*i - 14795 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4695)\/(-6) + 6\/(-4). Suppose 6 = -5*y + 1, -4*s = 3*y - a. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229308 divided by 6?\nAnswer: 38218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.196 less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 52554 = -22*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r*y**2 - 17040780*r + 2767541*y**2 wrt y.\nAnswer: -8*r*y + 5535082*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 361 = -22*j + 1075 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/3*(1109 + -16)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = -3. Let o = g - -12. What is the smallest common multiple of (4\/2)\/((-6)\/(-18)) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by 1045.\nAnswer: -249\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -8 + 3 - 0) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:04 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260225 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-20)*(0 + -5). Let b(i) = -i**3 + 12*i**2 - 12*i + 11. Let t be b(p). Factor 3\/4*s**3 + t*s + 0*s**4 - 1\/4*s**5 + 0 + 1\/2*s**2.\nAnswer: -s**2*(s - 2)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 10 = -2*r + 3*l, -2*r = l - 5. What is the smallest common multiple of r and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 208\/(-24) + (-4)\/3. Let c be (a*(-1)\/(-4))\/((-1)\/4). What is the third derivative of -c*q**4 + 25*q**2 - 5*q**2 - 11*q**2 wrt q?\nAnswer: -240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0074 + -0.0074. Let t be 2 + 0 + 108\/(-53). Let p = 167\/212 + t. Which is the biggest value? (a) 4 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(833) + 2)*-4 + sqrt(833) + sqrt(833) + -5 + (sqrt(833)*3 - sqrt(833)))**2 + -4 + -5.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*j - 8 = 0, -5*k + 6 = -4*k + j. Let l be k\/(-14) + 220\/35. Suppose -8 = 10*n - 12*n. Calculate the greatest common divisor of n and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396768 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 10*p = -8*k - 7 - 23, -k - 2*k = -3*p - 63 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 4*k + 4. Suppose -4 = -4*u + 3*u. Let q be w(u). Calculate the remainder when -84*5\/(70\/q) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 40130122?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 692044615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and 3720873767427?\nAnswer: 3720873767427.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 - 60.8271?\nAnswer: -60.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9630*p**3*y**3 + 4*p**3*y**2 + 5*p**3 + p**2 + 50729*p*y**3 - 3*p*y wrt p.\nAnswer: -57780*y**3 + 24*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7895 divided by -4\nAnswer: 7895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -124*w + 11. What is the hundreds digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2012, 4056, 6110, 8180, 10272, 12392, 14546, 16740?\nAnswer: 18980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057278479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i**4\/7 + 93*i**3\/7 + 201*i**2\/7 - 213*i\/7 - 90\/7 = 0. Calculate i.\nAnswer: -6, -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (2 - -7)) + (-9595)\/606 and -151\/3606.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8) + (-1 - (-2 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58615076942160 + 58615076942160 - 34*v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200324?\nAnswer: 2, 7, 78583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a - 13*a + 52 - 20 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 3*v**2 - 3 + 2. Let a(q) = -q - 10. Let y be a(-11). Let g = -1 - y. Give d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981509363?\nAnswer: 981509363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-8)\/15. Sort 2, 3, w in increasing order.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2 = a. Let d(n) = n**3 - 5*n**2 + 13*n - 33. Let h be d(4). Suppose 5*l = 7 + 3. Solve -a*m - 4*j + l = -5*j, 4*j + 3 = h*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 102\/7*1292\/2584?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93391, -186740, -280087, -373432, -466775, -560116?\nAnswer: -653455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 14 = 3*x - 6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-3920)\/1440 + 2\/9). Let h(n) = 25*n + 6. Let y(o) = -17*o - 4. Give r*h(m) - 8*y(m).\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 102831, 103425, 104021, 104619?\n\"Answer: a**2 + 591*a + 102239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*q - 50602 = -2*q, -84331 = -5*d - q. Let f = -45263 + d. Let v = f + 15997. What is v rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 58. Suppose -x - v = -6*x. Suppose -3*u + 30 = 3*a, a + x*u + 14 = 4*a. Solve -s = 3*s + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15557299, -31114608, -46671921, -62229238, -77786559?\n\"Answer: -2*w**2 - 15557303*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221212021002211 - -1?\nAnswer: -1221212021002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 4*l**5 + 4*l**5 + (2*l**4 + 3*l**4 - 3*l**4)*(-2*l + l - l) - l**5 - l**2 + l**2 + 343*l**5 - 538*l**5 - 347*l**5.\nAnswer: -546*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 6059970.\nAnswer: 30299850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 15, 36, 59, 84, 111?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3151 divide 133674873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-4 - -2) + 11). Let h = z + 14. Factor q**3 + 8 - 2*q**3 - 4*q + 46*q**2 + 5*q**3 - 58*q**2 + 4*q**h.\nAnswer: 4*(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2147546 plus -0.3?\nAnswer: -0.0852454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d - 17*d - 22*d - 11*d**2.\nAnswer: -11*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + 4. Let o = n + 7. Suppose -105 = -5*i + 4*v - v, i + v - 21 = 0. Calculate the greatest common factor of o and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 30. Let q be (-1 - -2)*(2 + t). Find the common denominator of (-540)\/400 - (q + -1 - -2) and -61\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 5\/4, 2\/9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 8 = 2*k, 3*i + 5 = 5*k. Suppose -h + 1 = 0, -i*q + 5*h = -1883 + 638. Suppose n - 123 = -z + 2*z, z + q = 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 17*g**2 + 640962*g + 9614878. Calculate y(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13768352\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20496 and 549.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 6*c + 36. Let g be (-1 + 0)\/(2\/30). Let f = 29 + g. What is the lowest common multiple of c and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 430, 1294, -5\/6, 0?\nAnswer: 1294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96855?\nAnswer: 3, 5, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*l**3*t - 81244*l**3 - 61*l**2*t - 2 wrt t?\nAnswer: -123*l**3 - 61*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(2))**2 - (3 + (sqrt(2) + sqrt(32))**2)) + (-2*sqrt(242))**2 + sqrt(2) + sqrt(2)*1 + sqrt(2) + 0.\nAnswer: 3*sqrt(2) + 923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 106772229 divided by 3\nAnswer: 35590743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -766.377 - -767. Let b = 1178 - 1178.103. Let m = d + b. Round m to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14277 + 295*o - 295*o - 14277 + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 31716.\nAnswer: 285444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 178 = 3*p - 18, -4 = -p - 3*p - 2*j + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 270*j**2 + 0 + 9.\nAnswer: 270*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 66. Let n = -197\/78 - -48\/13. Find the common denominator of 4\/10 - (-336)\/b and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2 + 71460*r - 20052672 = 0.\nAnswer: 284, 23536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 10*w + 25. Let f = 1 + -2. Which is the smallest value? (a) f (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 + 2\/9*g**4 - 2\/3*g**3 + 4\/9*g**2.\nAnswer: 2*g**2*(g - 2)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -17*w**2 + 5*w - 8. Let x(f) = 52*f**2 - 14*f + 23. Determine 17*g(v) + 6*x(v).\nAnswer: 23*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24 + -4*(-9)\/12. What is the common denominator of 14*(3 - 82\/l) and -32\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p - 1. Let c(n) = -2*n - 6. Let v be c(-5). Let g be (-2)\/(2\/v*p). Solve -i = 2*m - 5, 3*m + 2*m = -g*i + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -41*5 + 42\/7. Which is smaller: n or 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -373627, -373631, -373635, -373639, -373643?\n\"Answer: -4*f - 373623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30914 - -174.249?\nAnswer: 172.93986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/10, -2\/61, 2\/3, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145515923?\nAnswer: 7, 601, 34589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -124.\nAnswer: 5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/8 and 55\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60296652)\/(-1710) + (-1)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 34. Suppose 0 = t - z + 222. Let j = t + 487. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777629 rounded to the nearest ten thousand?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761*m = -798*m + 333 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - a**2 + 2*a**2 - 1698 + 1690. Determine c(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 10. Let f(z) = 6*z - 1. Let a be f(-1). Let h be s(a). Solve 2*u = -5*v - 10, -10 - 21 = 4*v - h*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**5 + 4*y**4 - 2018*y**2 + 13039*y - 1 wrt y?\nAnswer: -60*y**3 + 48*y**2 - 4036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1155)\/(-55))\/(-2478)*-1.\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002 (base 3) to base 13.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 4*r**2 - 2*r**2 + (-r - r + 0*r)*(3*r + 3*r - 5*r) + (-r - 4*r + 3*r)*(-15*r - 6*r + 13*r) to q + a*r**2 + i*r and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.5 - 21. Sort -1, 2\/11, g.\nAnswer: -1, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 98*v**2 + 37*v + 92. Let s(h) = -35*h. What is s(l(p))?\nAnswer: -3430*p**2 - 1295*p - 3220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - c**2)*(2*c**2 - 4*c**2 + 0*c**2) + 4*c**4 - 4*c**4 + 2*c**4 + c**4 - 3*c**2 + 3*c**2.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 15}. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 5*i - 1660 = 0, -4*u - 2*i = -308 - 134. What is the greatest common factor of u and 4773?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9920504.\nAnswer: 2, 11, 79, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16542*f**2*x + 13761*f*x - 2*f wrt f.\nAnswer: -33084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -454, -512, -570, -628, -686?\n\"Answer: -58*m - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 - 7*x**3\/3 - 3*x**2\/2 - 6*x + 1. Does 15 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssmsssmss. Give prob of sequence ss.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = b - 77, 0 = 4*q + 4*b - 68. Let s be 32\/q - (-40)\/(-300). Let f(j) = 5*j + 0*j + 2*j**s - 7 + 15 - 4. What is f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 < -13491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69939620 or -69939614?\nAnswer: -69939620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 256, 300, 344, 388?\n\"Answer: 44*r + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.7 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2746*b + 1814*b + 2810*b - 2797*b + 2686*b.\nAnswer: 7259*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*h + 6584540 = -2813571 - 1924393. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**2 - 6*w**2 + 4*w**2)*(-1011 + 5*w - 17*w + 974 + (-1 - 2 + 4)*(-w - w + w) + 0*w + w - 3*w - 1 + 2*w + 1).\nAnswer: 130*w**3 + 370*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/4578 and -131\/39240.\nAnswer: 274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/120 + n**5\/20 + n**4\/8 + 5*n**3\/6 + 7*n**2. Suppose 0 = 5*g, 4*v + g = 3*v + 4. Calculate k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 5*o + 5. Let r = -160 + 157. Let q(l) be the second derivative of 7*l**4\/12 + 3*l**3\/2 + 9*l**2\/2 - 26*l. Give r*q(a) + 5*p(a).\nAnswer: -a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4174 - 4052. Let w = -372 - -251. Let b = w + z. Sort -1, b, 3\/4, -3\/4 in ascending order.\nAnswer: -1, -3\/4, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 220338.78?\nAnswer: 22033.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 z, and 1 g when four letters picked without replacement from {g: 1, z: 2, p: 2, x: 1, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 215*d + 29. What is c(-36)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 - 2*g**2 + g - 2. Let f be q(-2). Calculate the highest common factor of 140 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1176*c. Let m(s) = 2*s**2 + 2408. Calculate a(m(u)).\nAnswer: -2352*u**2 - 2831808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 5. Let v be d(-10). Suppose 3*w - v = 1. Suppose w*g + g + 95 = 5*p, 2*p = -5*g + 38. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:08 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let x(g) = -4*g + 8. Let o(u) = -10*k(u) - 2*x(u). Suppose 11*t = 3150 + 183. Let b = t - 309. Calculate o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/6695 and 72\/3605.\nAnswer: 46865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/35*(-5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124422 times -12?\nAnswer: -37493064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/192*-18 - 91\/(-56). Let l be (-18)\/4*8\/(-12). Put l, 0, t, -3 in decreasing order.\nAnswer: l, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 10*o + 9*o. Let t(z) be the second derivative of -2*z + 1\/6*z**3 + 0 + 0*z**2. Give t(g(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.1 + -13. Let n = -0.100001 + v. What is n rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12442, -24887, -37332, -49777?\n\"Answer: -12445*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*m - 188*m - 17*m**2 + 468*m + 11*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 (base 5) in base 7?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1100902680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - (-5 - -1 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46136343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76330 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (137\/548)\/(1\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17290 divided by 3458.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373282753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 0 (c) 2\/9 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(99) - (5 + sqrt(99) + 2)) - (-2 + 2*sqrt(99) - sqrt(99) - ((-3 + sqrt(99)*-1 - sqrt(99)) + sqrt(99)))) + -4 + 1)**2.\nAnswer: 132*sqrt(11) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkzbhkx. What is prob of picking 2 k and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 - 3*r**5 - 1 + 2 + 2*r**5 + 3*r**5 + 0*r**5 + (0*r - 4*r + 2*r)*(-r**4 + 4*r**4 - r**4).\nAnswer: 2*r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6603019 (base 10) to base 9.\nAnswer: 13373567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4443*o - 284348. Give b(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -326480526?\nAnswer: 652961052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, -6, -3.\nAnswer: -6, -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11016 is divided by 3255.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73546 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 13*n - 38. Let b = 53 - 60. What is the least common multiple of 18 and k(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q. Let a(x) = -4*x - 4. Suppose -2*n + 8*n = -12. Let s(j) = 8*j + 10. Let y(v) = n*s(v) - 5*a(v). Determine t(y(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v - 8*v. Let x be -3 + 3 + v + -55. Let d be x\/(-8) + 12\/(-16). Solve -2*l = 3*k - d, k = 4*l - 0*k - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/((l\/(l**(-2\/7)\/l*l))\/l))\/l))**(-40)\/((l\/((l*l*l*l\/l**(2\/3)*l)\/l))\/(l\/l**(1\/6)))*(l**(5\/2)*l**(2\/23)\/l)**34 assuming l is positive.\nAnswer: l**(5501\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 19 = -3*p, 5*p = -2*n + 3. Solve j = 4*f + f, n*j + 5*f = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - h + 5. Let i be z(-4). Let b = i - -9. Factor 3\/4*d**3 + 0 + 1\/4*d**4 + 1\/4*d + 3\/4*d**b.\nAnswer: d*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:48 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and 73\/18654.\nAnswer: 18654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/((-85)\/(-10) - 9). Suppose -5*m = -l - 43, -10*m + 39 = -5*m - v*l. Solve 0*p - 3*p - m = 0, -2*h = 4*p + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*d**2 + 27 - 229*d + 113*d**2 - 191*d**2 + 1375 wrt d?\nAnswer: 2*d - 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 * 0.4\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -3\/14, -3, -4, 28 in ascending order.\nAnswer: -4, -3, -3\/14, 28, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -787\/5, 2\/13, -0.7, -5, 3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*(-4)\/(-18). Let w(i) = i**2 + 8*i + 5. Let q be w(-7). Which is the second smallest value? (a) 1 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 4, n: 1, u: 6, d: 2}. Give prob of picking 1 d and 1 k.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4 - 3*i**3 - 6*i - 1 + 2*i**3 + 5*i**2 + 4*i**2. Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198805, -198802, -198797, -198790, -198781, -198770?\nAnswer: -198757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 17*d = 3*o - 12, -5*o + 44 = -d. Calculate the least common multiple of o and 358.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 4*r = 0, 0 = -2*d + 3*r + 1. Let u = -1 + 6. Which is the biggest value? (a) d (b) 1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = 135*p + 541 - 10040 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24937 = 22*n + 13357 + 12482 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-7 - -2)) + 4 + (-13 - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 15469739.\nAnswer: -4, 5, 15469739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -231?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -27. Suppose -2*v + 13 - u = 0. Solve -5*y + y - v = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -2 (c) -0.05 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82\/91 - -8\/13. Let d = 28 + -254\/9. Let z = -2.99 - 0.01. Which is the second smallest value? (a) z (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1385, -337 in decreasing order.\nAnswer: -14, -337, -1385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 7:05 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -1\/5, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 457, 1028, 1827?\nAnswer: 2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 + -5. Let x = -0.2 - r. Let o = -1276.9 - -1277. What is the nearest to o in -0.4, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggrgggr. What is prob of sequence grgg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28*(3\/(-2) - -2). Suppose g = b + 12. Suppose -14*z**2 + 15*z**b - 5*z**2 = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72) - (-4*(-3*sqrt(2) - sqrt(2)))**2) + -5 - (4*(((sqrt(72) - (-1 + sqrt(72))) + sqrt(72))*3 + -4*(sqrt(72) + -1)))**2.\nAnswer: -2453 + 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 76. Let o be 88\/66*-15*-1*w. What is the greatest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0679964 * 19.\nAnswer: -1.2919316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 7*x**2 + 91.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(6)\/sqrt(2) + -1 + -2 + (-6*sqrt(48) - sqrt(30)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: 720*sqrt(3) + 8685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**2 + 325*u - 720. Let b(a) = a**2 - 36*a + 80. Let y(w) = 35*b(w) + 4*s(w). Factor y(r).\nAnswer: -5*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -28, -3, 30\/7?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28170812 by -39902.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1442691 + 2033674. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3039248455 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:15 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 1 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 154 = -y, -158 = 7*x - 4*x - 2*y. Let k be 89*(-4)\/7 - (-144)\/(-1008). Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a factor of 2738827526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 15*y + 14. Let g = 85 - 73. Let l be a(g). Calculate the greatest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -1.2. Let v = -55 + 54. Which is the nearest to -0.1? (a) 0.1 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165729964 to the power of 1\/2, to the nearest integer?\nAnswer: 12874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 33937 = 2*n + 217970, -2*n = -w + 83969. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*q - 26 = q, q + 7 = n. Let j(i) = -8*i + 2. Let a(l) = 8*l - 1. What is n*j(w) + 3*a(w)?\nAnswer: 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -368, -1473, -3318, -5903, -9228?\n\"Answer: -370*g**2 + 5*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 2}. Give prob of sequence jjq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 195, 268, 193, -132?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1088\/(-288) - 4\/18. Let j(z) = -15*z - 4. Let v(k) = 29*k + 9. Determine g*v(m) - 9*j(m).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*h - 1988 = 0, 2*x - 2*h - h + 798 = 0. Let k = x - -407. What is the remainder when 50 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x. Let q(p) be the second derivative of p**4\/12 + 4*p**3\/3 - 3*p**2 - 2*p. Let k be q(-9). Let m(h) = h**2 - k*h**2 + h**2. What is m(s(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 3862, -31 in descending order.\nAnswer: 3862, 52, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-108 - -33 - 41) + 91\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 10*b**3\/3 + 10*b**2\/3 - 10*b\/3 - 4\/3 = 0. What is b?\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 91*n + 20*n.\nAnswer: -71*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-9))\/(676\/780))\/((-105)\/252).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 6*m + 2*m + m - m + (-2 - 1 + 1)*(2*m - 3*m - m) + 1 - m - 1)*(2 + 0 - 3).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 36*c - 444. Determine a(24).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 1, -126, -1, -151 in increasing order.\nAnswer: -151, -126, -1, 1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2847*s**2 - 132*s + 193*s - 60*s)*(-1 + 3 + 1).\nAnswer: 8541*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2675, -35, 1402 in decreasing order.\nAnswer: 1402, -35, -2675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1351, -3, -2, -41 in descending order.\nAnswer: 2, -2, -3, -41, -1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 147, 341, 683, 1269, 2195?\n\"Answer: 16*j**3 - 22*j**2 + 148*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-5 + 5 + 2*c)*(316 - 316 + 224*c).\nAnswer: 448*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35913 is divided by 35539?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z - 9. Let f be 3*((-20)\/(-12) - 1). Let x(b) = 5*b - 4. Give f*k(o) - 5*x(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o - 18. Let z = 1 + 12. Is a(z) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*-2 + 5)**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 5*c - 13*c)*(5 + 0 - 3)*(-3 + 1 + 1).\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - o + 4 - 16*o**2 + 10*o**2. Suppose -4*c + 2 = m, 0 = 5*c - c. Let k be d(m). Let q(j) = j - 5. What is q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3881549 (base 10) to base 16\nAnswer: 3b3a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/21 and -167\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14463 and 36.28267.\nAnswer: 14499.28267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 226166366 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 - 5*w - 13. Calculate i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 11 = 5*c - 49, -5*c = -10. Solve -6 = -h - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - -20 - 2 - (-472 + 482)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-5 - (-8 - -4))) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/10 + 2*b**3\/3 - 8*b**2\/5 + 8*b\/5 + 12. Factor m(o).\nAnswer: -2*(o - 2)**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w = 22. Let o = w - 21. Let k be 10 - 6 - (o + 1703). What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -34*g**2 + 30 + 35 - 99 + 34. What is h(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 153 in decreasing order.\nAnswer: 153, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 12*l - 13. Let n be m(-13). Suppose 0 = -3*x - 11*f + 9*f + 16, n = -5*x + 2*f + 48. Solve x = -4*k - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4250038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(84) + sqrt(84) + -3*(-1*sqrt(84) + sqrt(84)))\/((sqrt(1200) + 2*sqrt(1200) - sqrt(12))*5).\nAnswer: -sqrt(7)\/145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/10414 - 174451\/171831. Let w = 36215\/28314 - 2\/1573. Find the common denominator of n and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27.9472188386 and -3.5?\nAnswer: 24.4472188386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2764, -2171, -1578, -985, -392?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/3)\/(u**(-3\/5)*u) assuming u is positive.\nAnswer: u**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let b(h) = 20*h**2 + 40*h - 40. Give -3*b(w) - 120*i(w).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 31.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = r - 1291, -13*v = 4*r - 12*v - 5227. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 131*n**2 + 29*n - 141. Let d be l(-44). Is 519 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5803820927.\nAnswer: 17, 191, 281, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -38.1. Let h = l - -11.9. Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let u be 207\/(-46) - (-1 - 2). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a factor of 20300158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 508 (b) -2\/5 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19277*y + 6. Let a(c) = -2*c. Determine g(a(b)).\nAnswer: -38554*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 232, 936, 2106, 3742, 5844, 8412, 11446?\n\"Answer: 233*w**2 + 5*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -164. Let f(x) = 217*x**3 + x**2 - 4*x + 2. Is f(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-7\/6)\/(m*m*m**(-1\/2)*m)**(-2\/27)*((m**1)**(16\/5))**6 assuming m is positive.\nAnswer: m**(4919\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29662220 and 6650?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 - -150. Solve c*w = -4*m - 25, -2*w + m = w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000362013 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122350986 divided by -1.\nAnswer: -122350986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {u: 11, n: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*f*n + 4*d**2*f + 2*d*f*n**2 - 9*f*n**2 - 29*f with respect to n.\nAnswer: d**2*f + 4*d*f*n - 18*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 9*a**2 + 14*a + 16. Suppose -6*p + 8*p + 30 = 2*i, 3*p + 55 = 4*i. Is 4 a factor of c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 21*x + 4 + 17*x - 3.\nAnswer: -13*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 600 - 580. Suppose -x*j + 204 = 84. Solve 3*g = -j*g + 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -10335.\nAnswer: -10335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1457\/129 - -930\/43. What is the common denominator of d and -151\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 a when four letters picked without replacement from eeeaae?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -473d2 (base 15) in base 8?\nAnswer: -673265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267.987874297 - 0.008235703. Let n = q - -268. Round n to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 1 (b) 0 (c) -0.02 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 0. List the prime factors of 111\/y + (-3)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80355484 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438496, -438491, -438484, -438475?\nAnswer: -438464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4 + sqrt(80)*-2 - (sqrt(80) + sqrt(80) + 0 + sqrt(80) + 1 + sqrt(80))) + -1)**2 + 0)*-1 + -4)*-4.\nAnswer: 1152*sqrt(5) + 11680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13887789109023 plus -0.11?\nAnswer: 0.02887789109023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 280*n + 277*n = 18, 3*i = 4*n + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2981069*y**2 - 4888*y - 4888. Let g(k) = -1830*k**2 - 3*k - 3. Give -4888*g(z) + 3*u(z).\nAnswer: 1833*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.075 and 0.01693.\nAnswer: -0.83083975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389\/5 + -78. Let i = -12 + 13. What is the nearest to 2\/11 in -0.5, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 4*d**2 - 2*d + 3. Let a be q(4). Let y = -35 - a. Suppose 0 = -4*x - 2 + y. Solve 4*f - 2 = 3*b, 0 = -5*f + 3*b - 2*b + x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 23 = -u, 0*j - 2*j + 2*u = 22. What are the prime factors of (-2)\/j + 35\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 2*b - 2*b + (-5*b**2 - 8*b**2 - 17*b**2)*(6 - 3 + 0) + (b**2 + 2*b**2 - 2*b**2)*(20 - 42 + 3) in the form m*b**2 + s + v*b and give m.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-4)*4\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101110000010 (base 2) to base 9.\nAnswer: -132714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/60 - y**4\/24 - 5*y**3\/6 + 3*y**2. Suppose 56*o - 61*o = 25. What is the tens digit of j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 980278 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 14*k**2 - 5*k - 13. Is 6 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:04 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (-19 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3\/4, 110, -28, -1, 0.4.\nAnswer: -28, -1, -3\/4, 0.4, 3\/4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-459)\/(-6))\/(-9))\/(2\/4). Let v(p) = -13*p + 24. Let r be v(s). What is the greatest common divisor of r and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1*-3 - 2. Let i be (-1)\/(-4) - u\/(-44). What is the smallest value in i, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 1 - 6)*(-165 + 91 - 309)*(-4*x + 2*x + 3*x).\nAnswer: -3830*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**5 + x**3 + 652*x**2 - 29*x - 160 wrt x.\nAnswer: 20*x**3 + 6*x + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 18*o - 32. Let r(q) = -3*q**2 + 17*q + 29. Let j(h) = 2*i(h) + 3*r(h). Give j(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 225*x + 240. Is 15 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*k = -178*k + 168066. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(8\/20*-5))\/((-5)\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*u - 2*r + 36, -27 = -3*u - r. Solve -2*t - t - u = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228599100, 228599101, 228599102, 228599103?\nAnswer: 228599104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*x - 59*x + 26080. Is x less than 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -12*q**5 - 513*q**4 + 1761*q**3 - 1512*q**2 + 276*q = 0?\nAnswer: -46, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553 times 0.28?\nAnswer: -434.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -32*j**2 - 2765*j - 14. What is the thousands digit of p(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -867 (b) -0.5 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1040, -1070, -1112, -1160, -1208?\n\"Answer: w**3 - 12*w**2 - w - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 385630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 64 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 552\/(-69) + 1*16. What is the second derivative of -19*h**2 + 49*h**2 + 52*h**2 + o*h**2 - 337*h + 31*h**2 wrt h?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddei when four letters picked without replacement from uuuiidiueuiud?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a - 3*m = -56*a + 27, 0 = -5*a - m - 22. What is the biggest value in -7, 2\/3, a, 2\/13, -149?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 726 - 213. Suppose 7*c - 4*c - r = 3*s, 2*s + 512 = 3*c. Suppose -2*t = 4*f - 74, 3*f = 2*f + 5*t + 2. What is the greatest common factor of f and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 1\/31, -12, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*w**2 - 81*o**2*w - 33*o**2 + 170720*o*w**3 - o*w + 5*o - w**3 + 4*w wrt w.\nAnswer: 4*o**2 + 1024320*o*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*w - 99*w - 48 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/10 - 13*m**3\/6 - 20*m**2. Differentiate l(t) with respect to t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*r - 72 - 78, 4*r - 12 = 0. Let k be (l\/22)\/((-2)\/4). Suppose 3*o - 8*o + 10 = 0. Which is the second smallest value? (a) k (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:13 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.033 - 4.967. Let j be 2\/6 + (-13)\/21. Let q(h) = -5*h - 1. Let k be q(-1). Which is the closest to j? (a) w (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 4. Let j be y(4). Let g be ((-2)\/28)\/(4\/(4 + 172)). Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 + 0 = -5*x, b - 3 = -2*x. Suppose -p + 13 = q, x = -3*p + 5*q + 21 - 6. Calculate the greatest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 + 267. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 25*n**8\/56 - 26*n**7\/21 + 251*n**4\/2 + 6*n + 56. Find the third derivative of m(c) wrt c.\nAnswer: 3000*c**3 - 3120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(128) - -5*(2*sqrt(128) + sqrt(128))) + sqrt(128) + -2 + 2) + -3.\nAnswer: -3 + 136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0 - u + 2 - 3. Let o be i(3). Which is the third biggest value? (a) -2\/9 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 47*y + 166. Let a be b(-10). Let u be (-4)\/(-10) - (a\/40 - -6). Solve 2*o = o + 5, 0 = u*j + o - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k**3 + 157*k**2 + 46*k + 6. Let r(m) = 3*m**3 - 42*m**2 - 12*m - 2. Calculate 4*p(i) + 15*r(i).\nAnswer: -3*i**3 - 2*i**2 + 4*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104222 (base 5) in base 10?\nAnswer: -3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - 1*sqrt(847) - sqrt(7)) - -6*sqrt(63))**2 + 1 + 1.\nAnswer: 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h\/h**10*h*h*h)\/h)\/h*h)\/(h**(-7)*h)*((h**5*h)\/h)\/(h*h\/h**10*h) assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8548, 11, -4 in decreasing order.\nAnswer: 11, -0.1, -4, -8548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7*246.3\nAnswer: -1724.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**4\/6 - 5*v**3\/6 + 11*v**2. Let q(r) = 2*r + 2. Let h(n) = 5*q(n) + 2*x(n). Let c(z) = 19*z. Determine h(c(d)).\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.8 + -15.1. Which is the second smallest value? (a) -0.5 (b) p (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 3*a**2 - 5*a + 9. Let b be i(4). Let x(n) = 11*n + 3. List the prime factors of x(b).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let j = -52.174 - -52. Let d = -0.074 - j. Sort r, d, 3, 5 in ascending order.\nAnswer: r, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 less than -36382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/(-4)*(-4 - (-50)\/15). What is the units digit of (g\/33)\/(1\/(-207))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -2. Let q = 5\/14 + -53\/70. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 31*b - 11. Let n be h(15). Solve 0*u = -n*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70222*j - 3*j**2 - 34648*j + 2*j**2 - 35574*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/(10 - 9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uii when three letters picked without replacement from iiiiuiiiiiiiu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 129 + 1581*z**2 - 788*z**2 - 793*z**2 + 27.\nAnswer: 5*z**3 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**3\/3 + 1. Let d(k) = k - 12083 + 12083. Give j(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**2 + 5*p + 11. Is j(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111299*j**3 - 63176*j wrt j?\nAnswer: 667794*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949*(10\/(-6) + 3 + 4\/2)?\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/3 - 106*m**3\/3 + 518*m**2 - 3950*m\/3 + 2500\/3 = 0 for m.\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15229 and 2119547?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - f + 582 = 238, -4*y - 2*f = -462. Suppose y = 4*p - 3. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16733, -16767, -16859, -17039, -17337, -17783, -18407, -19239?\n\"Answer: -5*a**3 + a**2 - 2*a - 16727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:51 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2. Let k be g(-4). Let t = k + 15. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1162.8 + -1410. Let q = 819.8 - x. Let p = 1066.331 - q. What is p rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 1566*q**3 - 3*q + 1568*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 171 + 176. Let v(g) = 2*g + 1. Let t(r) = r + 1. Give f*v(c) - 3*t(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*(-6)\/(3 - -3). Differentiate -14 - 6 - q - 79*t**3 wrt t.\nAnswer: -237*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 263*q + 849, 2*q + 42*k - 39 = 39*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 200?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 2*i. Let x(n) = 7*n**2 + 5*n. Let g(q) = 5*w(q) - 2*x(q). Let a(u) = u + 3. Give g(a(r)).\nAnswer: r**2 + 6*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 - 2)*(0 + 3 - 7)*(5*n**4 - n**4 - n**4) to y*n**3 + z*n**2 + f + b*n**4 + c*n and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/(-12))\/(-13)*30\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000109948 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15580)\/164)\/(1 - 2). Calculate the highest common divisor of u and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38147 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3788 is divided by 105.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = 4*j. Let w = 20.5 - 21. Which is the third biggest value? (a) w (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 19*u + 67. Let o be g(22). Calculate the lowest common multiple of o + 22 + 1 - -1*2 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -19*l + 3276. Calculate the remainder when l is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**(12\/5))\/(l**(3\/2)*l**(1\/3)) assuming l is positive.\nAnswer: l**(-217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.91 + -116.71. Suppose -4 = -5*x - 3*s - 0, -x = s. Let i be x\/(-4) + 2\/(-12). Which is the closest to -1? (a) r (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 472 + 3?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*v - v - 12, 4*v + 12 = 5*c. Let b be (c\/1)\/(1 + -3). Suppose -11 = -2*o - 5*m, -2*o = -2*m - b*m - 32. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 + h - 4. Let l be x(-2). Let y(u) = 48*u + 37. Let q(z) = 8*z + 6. Let p(b) = l*q(b) - 6*y(b). Differentiate p(c) with respect to c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 553327\/22 + -25147. Find the common denominator of g and (-2)\/7 - 723\/140.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*z - 39 = 4*d - 1338*z, -12 = d - 3*z for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 10*x + 22*x + 2)*((-2*x + 4*x + 0*x)*(-1 - 5 + 4) + (-3*x - x + 0*x)*(-3 + 3 - 3) + 0*x - 4*x + x).\nAnswer: 30*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*l - 2090 = 0, 2*o + 4*l - 1713 + 353 = 0. Let v = o + -473. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 1 + 1 + (-2*u + u - u)*(1050 - 1050 + u) as m*u**2 + j*u + h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 3*n + 3. Let l(m) = -m. Let i be l(-2). Let x be h(i). What is the greatest common factor of x and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3855 + 0.8855. Which is the biggest value? (a) 0.48 (b) 8 (c) t (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0848 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 112205 (base 11) to base 10\nAnswer: 178601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f**2 - f**3 - 3 + 6*f - 5*f**2 + 3 + 9. Let q be h(-6). Let r = 15 - q. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7829874377.\nAnswer: 13, 449, 977, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501 is divided by 492?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/35 + -3 + 108\/42.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.024723 rounded to one decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647333.4 to the nearest ten thousand.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108405181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -11. Suppose 4 - s = -y. Suppose 5*p + 3*x - 70 = -10, 0 = -p - x + y. Calculate the greatest common divisor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14fa380 - -3?\nAnswer: 14fa383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gtd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*8\/24 - 8\/12. Let h be (5\/(-10))\/((-10)\/12). Which is the nearest to -0.1? (a) z (b) 15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 301 = 211. Solve 1 = s + b, 0 = -j*s + 13*s - 5*b + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 6. Let g = 3 + -3. Calculate l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3488 or -2455?\nAnswer: -2455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 453 + -395.2. Let s = d + -57.800000727. Round s to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, -0.19, 12, -0.1, -2\/69, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707552, 707867, 708192, 708533, 708896, 709287, 709712, 710177?\nAnswer: 710688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6665*h - 6665*h - 16*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28326993671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 14*j - 14. Let l be (-4)\/((-2)\/(-1)) - 7. What is the tens digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292578437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 37?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 11. Let v be (-8)\/36 - 366\/54. Let j be b(v). Let s be (j\/7)\/((-18)\/6). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2 times -19507?\nAnswer: 237985.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = o - 0*o - 8, 17 = 5*o - 2*u. Let f(g) = -g + 6*g**2 + 5 - 5. Let y(t) = 6*t**2 - t. Let m(v) = o*y(v) - 4*f(v). Give m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 + 575\/(-92)*24\/760?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3*t**7\/280 + t**5\/60 - t**4\/24 + 5*t**3\/3 - 2. Let f(a) be the third derivative of i(a). Give f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 209911*k - 2938175. Calculate z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*n - 580, 3*n + 47 = 3*k + 482. Let z = 245 + k. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336611 and 551386?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.3 - -81.300006736. What is k rounded to seven decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pupgnvppu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 48 = 5*c + 281, 0 = 5*i + c - 511. Suppose 29 = -2*m + i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.4, -77, 11.7?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f**2 + 2*f + 2. Let j be -72*(-24)\/768*(3 - -1). Let r(w) = 30*w**2 - 4*w - 4. Calculate j*g(a) + 4*r(a).\nAnswer: -15*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 2*k**3 + k**5 - 69*k**4 - 10*k**5 + 69*k**4 + (2*k**2 - 2*k**2 + 2*k**4)*(56 - 16 - 45 - 9*k).\nAnswer: -27*k**5 - 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-9))\/2 - (-514)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Suppose -5*a + 0*a = 3*n + 37, -4*a - 40 = 5*n. Let o be c(a). Suppose 12 = -2*s + 3*g, 5*s - 2*g - o*g + 20 = 0. Solve s*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507764197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let j be (-7 - -3)*w\/(-44). Let p = 1.3 + -6.3. What is the nearest to 1\/2 in -0.1, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283077750 rounded to the nearest one hundred thousand?\nAnswer: 3283100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138565 = -1055*k - 106915 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 2*j - 3. Let w(p) = 5*p**2 - 11*p + 16. Suppose 483*x = 475*x - 4464. Let r = x + 569. Calculate r*v(d) + 2*w(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 2*l**6\/15 - 10*l**3\/3 + 8*l**2. What is the first derivative of i(a) wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 2*l + 79 - 37 - 42.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13430850 divided by 895390?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 147, 224, 303, 384?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -38205 >= -38205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/385)\/((-20)\/(-110))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/6*i**2 - 5\/6*i - 1\/6*i**4 + 1 + 5\/6*i**3 = 0. Calculate i.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**8\/112 + 74*y**6\/15 + 1421*y**5\/20 - 5014*y**2. Find the third derivative of p(m) wrt m.\nAnswer: -180*m**2 + 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8901 + 8959. Are h and -200 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043910714 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 7.9.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 926344*y**2 - 926314*y**2 + 2 - 3. Determine c(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3193 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -629, -628, -627, -626, -625?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 6. Let k be g(4). Suppose -k = -2*r - 8. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.53 + 0.3. Let k = -0.03 - j. Let s = k - 0.197. What is s rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.207 - -0.207. Sort p, 4, -3 in ascending order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -3023231331?\nAnswer: 3023231300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*d = -23, -3*x - 43*d + 8 = -47*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/255)\/(4\/(-22)). Let a = g - -9\/17. Find y such that -2\/5*y**2 + 2\/5 - a*y**3 + 2\/5*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*n + 219. What is the lowest common multiple of 86 and n?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((1\/(-3))\/(68\/102))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 7*g + 789 = 1164 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - 2*w**2 + 5*w**2 + w**2 + 0*w**2 + 0*w**2 + 5*w**2 - w**2 - 2*w**2 + (0 + 0 - w)*(-3*w + 1 - 1) + (-2 - 2*w + 2)*(1 - 3*w - 1).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378 + 1652 + 2619 = -303*z + 40*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336 is divided by 555.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 5 (c) 0.2 (d) 1\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229118?\nAnswer: 2, 109, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.02 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 12) in base 11?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52097048105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*(-54)\/(-30)*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(0 + -1)*10023\/(-50115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z**2. Let h(w) = -w**2 - 26. Calculate f(h(j)).\nAnswer: 11*j**4 + 572*j**2 + 7436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -29.784. Let p = 0.54 - 0.675. Let l = j - p. Round l to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 193*n**2\/3 + 3480*n + 35100.\nAnswer: (n + 13)*(n + 90)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-108)\/(-24)*(2 - 52)\/(-5) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8 - 28. Suppose -2*f + k = -4*f. Let g = f + 10. Solve -g + 0 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 + 1. Suppose 3*n + 3 - 6 = 0. Let k(q) = 7*q**3 - 6*q**2 + 6. Give n*k(z) - 6*m(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/14 - (1 - (-26403)\/(-7)). Suppose -16*r = -2053 - z. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 5. Let y(m) = 19*m + 11. Determine -13*q(l) - 6*y(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in 2, -0.4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -1270.\nAnswer: -64\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlww when four letters picked without replacement from {w: 17, l: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6784 + -6791. Let u be 22\/(-6) + 2\/(-6). Is b at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 5. Let n = -2496 + 37718\/15. Let i = 56\/3 - n. Which is the second smallest value? (a) y (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k**2 + 267*k + 158. Calculate f(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 30 = -i, -5*i - 3*q = -78. Suppose i = 3*v - 6. Suppose 5*b = 46 + 4. Calculate the smallest common multiple of v and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 565\/3399 + 1\/2266. Let w(i) be the third derivative of 0 + 0*i + q*i**3 + 1\/12*i**4 - 1\/60*i**6 - 12*i**2 - 1\/210*i**7 + 0*i**5. Factor w(s).\nAnswer: -(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205.4 - -205.1. Let a = -3.981 - 0.019. Let d = 12 - 20. What is the third biggest value in i, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815 - 26724 = 44*a + 1667. Is a equal to -604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h. Let m(o) = 2*o**2 - 4. Let b(y) = -1. Let l(f) = -4*b(f) + m(f). Calculate z(l(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -24. Suppose -5*o + f*o = -12. Calculate the highest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/2*(-2288)\/(-429). Solve v*j + 40 = 67*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - 0.1. Let r = -1 - x. Let o = r - -1. Which is the closest to 0? (a) 0.4 (b) o (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54351 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0 + 2. Let w = 89592 - 626106\/7. Let o = w - 149. Is o less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/5)*k**(-11) assuming k is positive.\nAnswer: k**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) -5 (c) -0.5 (d) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and -4 + 5 + 3*7?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611494 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22065 and -145\/6?\nAnswer: 44130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30857422.\nAnswer: 2, 379, 40709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67686808.9999928 + -67686832. Let f = s + 23. Round f to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63359075*f**3 - 8*f**2 + 629*f + 14 wrt f.\nAnswer: -380154450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/12 + u**3 - u**2\/2 - 20*u. Suppose -4*w - w - 3*p + 1 = 0, -3*w = 5*p - 7. Let o be 4\/(w*(2 + -3)). What is r(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((20\/(-4))\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2216 = -4*u, z + 5*u - 539 = u. Suppose -5*w = 3*r + z, -4*w + 124 = -5*w + 4*r. Is w not equal to -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11973 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:08 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 1\/4, 27\/2, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**7\/42 - t**6\/30 - 9*t. Factor j(f).\nAnswer: -f**4*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25060 divided by 28?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**2 + 27*o - 6. Let p(r) = 44*r**2 + 84*r - 20. Determine -10*c(d) + 3*p(d).\nAnswer: -18*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12224573?\nAnswer: 29, 191, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -16, 2, -3519, 5.\nAnswer: -3519, -16, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p + 2*p**2 + (-6*p + 0 + 0)*(-143*p + 66*p - 51*p) as t + c*p + b*p**2 and give b.\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/5 - -4)\/((-12)\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + -1 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/4*x**4 + 79 + 0*x**2 + x + 0*x**3. Calculate q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-8960)\/(-30)))\/((-324)\/(-288))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818684 is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3 - 9\/2*h**3 - 3\/4*h**4 - 39\/4*h**2 - 9*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjjkk. Give prob of sequence jkjk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a - 2*a**2 + 1\/30*a**5 + 0 - 1\/8*a**4 + 0*a**3. What is the smallest common multiple of s(4) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1101.54 + 1037. Let b = c + 1.54. Is 2\/3 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 + 13.76. Let q = 14.038 - n. What is q rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -185.3 and -15.2.\nAnswer: -200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2401*h**5\/2 - 64925*h**4\/2 + 67105*h**3 - 32035*h**2 - 2785*h\/2 - 29\/2 = 0 for h.\nAnswer: -29, -1\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 + 37 - -24) + (2 + 40 - -4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -12) + (1 - 15) + 48 + -24?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3) - ((-10)\/(-7) - 2). Sort -14\/31, -4, c in descending order.\nAnswer: c, -14\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1, 4, 5 in descending order.\nAnswer: 5, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 457 by -669368.\nAnswer: -457\/669368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/(z\/(z**(-4)*z)))\/z))**(3\/34)\/(z\/z**(-33)*z**(-37)*z) assuming z is positive.\nAnswer: z**(43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 0, 4*r - 3*k = -0*r. Suppose -8708 = -3*d - 4*a, 4*d - 3*a + r*a = 11594. What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 35*u**3 + 5*u**2 - 14*u + 29. What is the remainder when s(2) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11013112?\nAnswer: -11013113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10837988 divided by -7?\nAnswer: -1548284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*d + 5*d - 15 = 0, 4*b + d = 18. Let j(o) be the third derivative of -1\/300*o**5 - 2*o**2 - 1\/10*o**b - 1\/30*o**4 + 0 + 0*o. Factor j(v).\nAnswer: -(v + 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00133079576 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 + -3.95. Which is the nearest to -0.1? (a) 0.2 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/90 + (2 - (-22)\/(-12)). Let r(h) = -2*h**3 - h**2 + h + 1. Let o(v) = -9*v**3 - 7*v**2 + 5*v + 6. Let i(z) = p*o(z) - 5*r(z). What is i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in 3, 0.4, -8455, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*z = 2*b + 12, -3*z + 12 = 5*b. Let v = b + -4. Does 3 divide (-15)\/v + (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -6.5885375?\nAnswer: -92.239525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/99 + ((-50148)\/1980 - -25)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 + 2. Suppose 0 = -3*l + 25 - 4. Let i be o(l). Let g(j) = -2*j**2 - 6*j + 10*j**i - 7*j**2. Give g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9848*a - 7573111. Give v(-769).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + 0*w)*(-2*w + 5*w - 9*w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12312213 (base 5) to base 8.\nAnswer: 351603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1638)\/117)\/(((-42)\/4)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -1\/4 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfat when four letters picked without replacement from ayfqyytfyy?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvirv. What is prob of sequence vv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -22*c**2 + 8*c - 22. Does 25 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + -3.28. Round a to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 70. Sort j, 4, -1, -5\/4 in decreasing order.\nAnswer: 4, j, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o - 638 = 9*o. Let m(q) = q**2 - 10*q + 15. Calculate m(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*t**4)*(-2 + 1 + 3)*(2*t + t - 8*t).\nAnswer: -40*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -44*v**3 + 3*v - 2. Suppose -2*o - 3 = -b, -6*o = -2*o + 2*b - 14. Let u be n(o). Let s = -14 - u. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-1 + 3 + 0) - 1 + 1 + 2)*(-38*h - 31*h - 5*h) + 5*h - h - 3*h + (-3*h + h + 3*h)*(3 + 4 - 6) to the form s + t*h and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 take away -0.18?\nAnswer: 1531.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14755 = -5*a + 2*v, 113*a = 110*a + v + 8853. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 10. Calculate u(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 114*a**3 - 116*a**3 + 586*a**3 - 117*a**3 - 124*a**3 - 113*a**3 - 2*a**2.\nAnswer: 2*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94836.4782 + -94828. Let l = 8.3481991 - t. Let f = l - -0.13. Round f to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-9 + -112)\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 147308 (base 9) to base 2\nAnswer: 10110001000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(1088)*-3)**2 + 0 - ((1*sqrt(119))\/sqrt(7) - (sqrt(17) + (sqrt(1088) + -1)**2))).\nAnswer: -130572 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131.84 + 129. Let v = n - 0.16. Put 2, -6, v in decreasing order.\nAnswer: 2, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2632 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 5) + -18 + -11 - (-3 - 34)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r = -5*l + 40*r + 420, 0 = 3*l + r + 233 for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 + 98. Let k = 39 + g. Factor -2\/9*r**2 + 0*r + k - 2\/9*r**4 - 4\/9*r**3.\nAnswer: -2*r**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (6\/12)\/((-7)\/28)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 473*a**2\/3 + 56168*a\/3 + 55696\/3.\nAnswer: (a + 1)*(a + 236)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260384609\/172 + 1513879. Let q = 11\/43 + k. Calculate the common denominator of -4\/3 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.7 - 14.7. Let k = 35\/9 + -32\/9. Put -1, -3, s, k in decreasing order.\nAnswer: k, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g - 8 - 2 + 7*g + 5 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 2*p + 256, 4*p = 16. Suppose 2*i - c = 3*l, -3*i - 2*l + 95 = -17. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 1642 = -885. Let l = -77 + i. Calculate the remainder when l is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 49*i + 2448. Calculate the remainder when 2241 is divided by i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10181 * -40.1.\nAnswer: -408258.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483779218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -4*a**6\/15 + 127*a**4\/12 + 900*a**2 - 1843*a. Find the first derivative of b(v) wrt v.\nAnswer: -32*v**3 + 254*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36758222873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from {d: 2, t: 2, u: 2, x: 1, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7747013.\nAnswer: 7747013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*z - 110 = -6*s, -5*s = -4*z - 110. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35111920 divided by -8777980.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.53 - 25.47. Let m = -1 + b. Let s = 27.23 + m. Round s to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 16 = 3*t, -3*b - 4*t - 22 = 26. What is the third biggest value in 2\/5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/24 - n**4\/6 + 5*n**3\/6 - 5*n. Let k(a) be the second derivative of f(a). Differentiate k(c) with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 7*k + 0*k)*(-k**2 + 8*k**3 - 11*k - 10*k**3 + 0*k**2).\nAnswer: 10*k**4 + 5*k**3 + 55*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 + 627310*u**3 + 19682791005*u**2 + 432793715200*u + 2379948032000 = 0. Calculate u.\nAnswer: -62720, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:00 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-34 - -1 - 37).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (sqrt(1008) - (0 + sqrt(1008)) - sqrt(1008)) + -1 + 5))**2.\nAnswer: -384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.003645738755.\nAnswer: -0.496354261245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = 2*g + 29*f - 24, -3*f + f + 19 = 3*g - 36 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-123)\/287*2\/(-3). Let v = 0.13 + -0.03. What is the third biggest value in t, 0.8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -7, 0.3 in ascending order.\nAnswer: -7, -0.5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4719086.999848 - 4719115. Let d = -27.5561 + -0.4439. Let i = a - d. Round i to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1615 + -1614.9. What is the closest to -13 in -2\/11, 1\/5, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/186 + 8\/31. What is the nearest to f in 0.1, 4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2606960, 2606959, 2606958, 2606957, 2606956, 2606955?\n\"Answer: -x + 2606961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r + 189 - 63*r + 98*r - 191.\nAnswer: -13*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 43*s + 39. Let p be z(21). What is the highest common divisor of p and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 66*u**2 - 11*u + 11. Let l be s(1). Suppose -72*x + l*x = -102. Solve -5*d + 13 = -w, 0 = -0*d - 5*d - w + x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2, r: 1, t: 2, g: 6}. What is prob of sequence tb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:57 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1816.589 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10630107 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 225378713 to the power of 1\/2, to the nearest integer?\nAnswer: 15013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12869 * -5\nAnswer: 64345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(363)*-2 + -2)*-2 + -5 + -5)**2.\nAnswer: 6072*sqrt(3) + 52801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 2884167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15825?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from hhhhhhhohhhhhhhoho?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -295 - -22?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 26, 74, 162, 302, 506, 786, 1154?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2. Let f(x) = -2*x**2 - 4654247*x. Give f(u(a)).\nAnswer: -8*a**4 - 9308494*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-88)*2\/(-3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5\/3 - 12*z**4 + 56*z**3\/3 + 200*z**2 - 1204*z\/3 + 196 = 0.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-15))\/(21\/(-105)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 24 = -6*n. Let z(p) = -p**3 + 6*p**2 + 3*p + 2. Let f be z(n). Let t = -8 + f. Calculate the remainder when 59 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 725*x**2 - 4945*x**3 + 706*x**2 - 1 - 1430*x**2 to j*x + f*x**3 + m + p*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32073.81 months to years.\nAnswer: 2672.8175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/101, -1\/4, 500 in increasing order.\nAnswer: -0.4, -1\/4, -2\/101, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7)\/y**(-2\/57))**(-14) assuming y is positive.\nAnswer: y**(-6412\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 - 590134*n\/3 - 393420 = 0. What is n?\nAnswer: -295065, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 1. Let v be 88\/44*2\/10. What is the closest to v in -3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10846*j - 3337*j = 109404 + 670661 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:01 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 67. Which is smaller: 2\/125 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(1120\/21)*(-4)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47290 and 22.\nAnswer: 520190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 63 + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + u + 115. Suppose 0*k + 258 = 2*t - 2*k, 4*t - u*k = 521. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 8*g - 5. Let s be y(8). Let d = s - -7. Let u = 12\/421 - -710\/4631. Which is the nearest to 0? (a) u (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**6\/30 + 17*p**4 + p**3\/6 + 2121*p**2\/2 - 3072*p. Differentiate j(d) with respect to d.\nAnswer: -4*d**3 + 408*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.19, -3395, -6\/11 in ascending order.\nAnswer: -3395, -6\/11, -0.19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -34. Let a be (-1 - p)\/(1\/(-6)). Let h(q) = q**2 + 2*q - 1. Let r(t) = -t**2 + 4*t**2 - 3 - 4*t + 0*t**2 + 14*t - 4*t. Determine a*r(x) - 17*h(x).\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23e (base 15) to base 10\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.049\nAnswer: -0.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjz when three letters picked without replacement from {j: 1, h: 4, r: 3, g: 7, z: 3}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 - j**2\/2 + 5*j. Suppose 0 = 2*f - 2*s + 8 + 6, 2*s + 10 = -4*f. Give o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*i + 67*i - 1 = -64*i. What is the third biggest value in -1\/8, -58, i?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldkdwrfrddl. What is prob of sequence fwd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 14 (b) 2\/13 (c) -9\/4 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2568, 2575, 2586, 2601, 2620, 2643?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 5*k**2 + 1 - 2*k**2 - 4 as y*k + g*k**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/1176*(-6)\/(-8)*(-8)\/(-114)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 2\/9, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqqvpvevvqvqpvqqq. What is prob of picking 1 e and 2 v?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d + 3*d**2)*(-2113*d**2 - 1982*d**2 + 4265*d**2) - 3*d**3 + 3*d**3 + d**4 to the form c*d + o*d**3 + t*d**4 + p*d**2 + x and give t.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**2 - 10203*u + 7659.\nAnswer: -3*(u + 851)*(4*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 - i. Let k be v(2). Suppose 3*f + 3*f + k = 0. Let b be (-1 - (2 + f))\/(-2). Which is smaller: b or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -3*l**2\/2 - 25. Let k(v) = 37*v - 1. Give k(c(o)).\nAnswer: -111*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 527 * -12732.\nAnswer: -6709764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-10))\/((-18)\/(-660)) - 0\/37. Put -11, a, -5 in ascending order.\nAnswer: a, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 + 8*p - 9*p**2 - 8*p.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 703 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.599932 - 3.6. Round z to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 times -0.1?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1976067, -1976074, -1976085, -1976100?\n\"Answer: -2*l**2 - l - 1976064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 8*c**2 + 3*c + 26. Let m = 70 + -78. Let r be u(m). Let s = 57 - 56. What is the highest common divisor of s and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1063442 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.077\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10)*810\/(-1458)*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f*f)**2\/(f**(2\/17)\/f**(-4))*((f**(-5)\/f*f)\/f)\/(f\/(f*f*f**(2\/3))*f*f)*(f*(f*f**(-3\/4))\/f)\/f*f**(3\/5) assuming f is positive.\nAnswer: f**(-8773\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3*26 - -1) + (12 - (-1 - -4))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 1:29 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 + -191. Let h = -156 - q. Let c be ((-3)\/(-3))\/((-2)\/h). What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:17 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.00071 - 386542\nAnswer: -386542.00071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/6)\/(22\/(-6039)). Let t = y - 153\/4. Find the common denominator of t and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let g(s) = 64*s - 46. Let v(z) = g(z) + i(z). Is v(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 + 193.2. Let s = 19 + u. Is 0.1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*b + 1817 = -3331 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (501\/(-5) - 528\/(-440))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*l)*(-2 - 2 + 3) - 3*l - l + 2*l)*(12*l**4 + 4*l - 4*l) - 245*l**5 + 175*l**5 + 222*l**5.\nAnswer: 104*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2791, -28735, -101001, -242749, -477139, -827331?\n\"Answer: -3860*b**3 - b**2 + 1079*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -46*m - 7. Let g(h) = -23*h - 3. Calculate -6*d(j) + 14*g(j).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 4*k**2 - 8*k - 4*k + 7*k**2 + 3. Let s be y(12). Let m(x) = x**2 - 4*x + 1. Give m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*x**2 + f**3*x - 395*f**2*x**3 - 4*f**2*x - 2699780*f**2 - 188*x**3 wrt x?\nAnswer: -6*f**3 - 2370*f**2*x - 1128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**2 - 20*w**2 - 12892*w**3 - w**2.\nAnswer: -12892*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*x - 3 - 38*x - 46*x - 4*x + 2*x + 4*x + 2*x + 3*x - 6*x + (-2*x + 3 - 3)*(3 - 4 + 0))*(-3 + 0 + 4).\nAnswer: -24*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 3*b + 3*b + (-b**2 + 4*b**2 + 0*b**2)*(-44*b + 17*b + 9*b).\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -17 + (78 - -29) + -23\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4)\/((-22)\/113179) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2*d**(-7)\/d*d**(-1\/6)*d*d**(-3\/4) assuming d is positive.\nAnswer: d**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 5. Suppose -2*h + 3*c = 5, 2*h + 4*c - 5*c - 1 = 0. Let m be i(h). Solve -m*t = -2*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/60 - 2*q**3\/15 + 2*q**2\/5 - q. Factor h(m).\nAnswer: (m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -470.87 + 471. What is the closest to -0.1 in 1\/4, -4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -16*m**3 - 1121*m**2 - 4377*m - 4378. Let d(f) = 57*f**3 + 3924*f**2 + 15318*f + 15324. Let a(l) = 5*d(l) + 18*y(l). Factor a(k).\nAnswer: -3*(k + 2)**2*(k + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/47, -4\/3 in increasing order.\nAnswer: -4\/3, -2\/47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23.9, -2\/7, -1\/3, 0.5, 8, 3, -83?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lolloooooo. What is prob of sequence ooll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -941 + f?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (7 - 22) - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*h - 0*q - 808, -2*h = 5*q - 334. What is the greatest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 + 376 + -4 + -4 + 6 - (-71 + 0)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 7*h + 4856 = 0. Let k = h + -531. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178 * 0.1\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48009212 is divided by 24004606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 30*n**3 - 26*n**2 + 30*n + 28.\nAnswer: -2*(n - 1)*(n + 1)**2*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/172*(0 - 6\/(-99))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -46*t - 551. Calculate i(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**3 - b**2 - 6*b**3 + 0*b**2)*(2*b + 0 + 0).\nAnswer: 6*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 330 + -147. Suppose -3*r = -n + 150 + b, 0 = -2*r. What is the highest common factor of n and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8643 - 8642. What is the nearest to 2 in -0.3, j, -77.1, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114294 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1569 and 11495017.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11242 - 11220 + 72*i + 22460.\nAnswer: 72*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 947*n**2 - 18. Let b(h) = 6629*h**2 - 135. What is 2*b(u) - 15*t(u)?\nAnswer: -947*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8890 and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123 = f + i, -5*f = 34*i - 31*i - 5609. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or 0.22777?\nAnswer: 0.22777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/10 - 11*j**2\/10 - 7*j\/10 + 147\/10 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:07 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2754?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.565952l in millilitres?\nAnswer: 7565.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11279232 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 537.\nAnswer: 38\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20133210 (base 4) to base 11.\nAnswer: -24156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/257653 - -41458913\/332372370. Find the common denominator of z and -20\/903.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 5. Let t(v) = 2*v**2 + 9*v - 8. What is -8*g(x) + 5*t(x)?\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*96\/112 + (5 - (-590)\/610)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 18 = 3*q. Let v be (-3 - -1) + q + 0. Suppose r - 10 = -v*r. Solve -5*y + 3*k - 16 = 0, -6 = -r*y + 3*y - 2*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372 - 276. Calculate the highest common factor of 64 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371.99 - 4.99. Let t = 366.99999711 - u. Round t to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 13) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 25. Determine w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.469509851 rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*m + 2566, 54*j = 3*m + 58*j - 1912. Let x = -632 + m. Solve -n + x = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*z - 46*z**3 - 24*z - 25*z.\nAnswer: -46*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 119*g - 102*g)*(-3*g + 3*g**2 + 3*g) + 0*g**3 - 3*g**3 + 2*g**3.\nAnswer: -655*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841955531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 11*c - 6*c + 3*y, -5*y = 5*c - 35. Suppose -n = -c*n + 20. Put -5, n, -1, -2 in decreasing order.\nAnswer: n, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*n - 5 = -2*m, m = 4*n - 11. Let x be 12 - (2 - 9\/n). Suppose -x*v - 6 = 7. Which is the second smallest value? (a) -5 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 84704*u**3 + 3*u**2 - 84739*u**3 + 169603*u**3.\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-606)\/9*160\/200 - 0) + (-6)\/45?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11117*m**2 - 11109*m**2 + 6*m + 0*m - 6*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 856432007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 6*y + 4*y, -5*f - 4*y + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:09 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 5*z**2 - 4*z - 2. Let b(d) = -2*d**3 - 2*d**2 + 2*d + 1. Determine 5*b(f) + 2*i(f).\nAnswer: -4*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7345658 at most -7345679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {g: 7, s: 3, i: 4, v: 5}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*(-58)\/(-1508).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34731131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189175 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4464981 or 4464936?\nAnswer: 4464936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) -26 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/63182270?\nAnswer: 9\/63182270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 131. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8027854 is divided by 380.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3271*a - 6542*a - 98 + 3264*a.\nAnswer: -7*a - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.088, -2.95651, 5, -0.5, 3 in increasing order.\nAnswer: -2.95651, -0.5, 0.088, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 428 - 422. Let a(v) be the first derivative of 2*v**2 - 17*v - 1. Let c(p) = -2*p + 9. Calculate w*a(l) + 11*c(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:50 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20023 + -3?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 6*l + 6. Suppose -3*z - 2*z = -55. Let r(q) = 8*q**3 - 11*q + 11. Give z*n(d) - 6*r(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(28\/(-105))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(6)*-2 - (-5*sqrt(1216))**2.\nAnswer: -30400 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 47. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/36)\/((-2)\/(-21)) + -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91576515*b**3 - 128290955*b**2 wrt b.\nAnswer: 549459090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-24)*(-22)\/(-396)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29c3 - -15710?\nAnswer: 12a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:26 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.58 + 31.28. What is k rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - (-104 - -100).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 90 = g + g, 2*g - 70 = -t. Let p = g + -24. Calculate the remainder when 7\/21*(-6)\/(-2) - -23 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1921385350 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 126 - 34 - 6*z**3.\nAnswer: -2*z**3 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i = 52*i + 4. Suppose -5*f + 2*b = -222500002, -i*b - 44500002 = -f - 2*b. What is f rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:05 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20124 (base 5) in base 14?\nAnswer: -681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15))**(2\/33)\/((h*h*h**(-15))\/h*h**24\/h) assuming h is positive.\nAnswer: h**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + 2)*(-10 + 11). Which is greater: g or 70\/3?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113931435 - -15.\nAnswer: -113931420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2. Let j(p) = -27*p**3 - 14*p**2 - 28*p. Let u = -172 + 173. Let z(n) = u*j(n) + 6*v(n). What is the third derivative of z(k) wrt k?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 9*z - 8. Let x be d(-8). Suppose 24 = -x*w + 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9864 - 0.0136. Let g = 225 + -2023\/9. Let p = -267 - -4541\/17. Which is the second biggest value? (a) -2 (b) p (c) g (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270982115 rounded to the nearest one hundred thousand?\nAnswer: 271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, a: 2, b: 3, o: 5}. Give prob of picking 1 a and 1 o.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5992 - -5088.3. What is t rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397e9 (base 15) to base 13\nAnswer: -65a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o)**(5\/3)*((o**(1\/8)\/o*o)\/o)**(-13\/4) assuming o is positive.\nAnswer: o**(-69\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -76. Suppose 53*p = f + 73. Solve 5*r - p*r = -3*v - 15, 0 = v + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -3.9. Let r = -15.5 + 13.5. What is the second biggest value in r, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 128\/159527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21756 and 1591.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 624*n**2 - 24552*n + 4151520 = 0.\nAnswer: -186, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45841.11 milliseconds?\nAnswer: 45841110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 124 = 5*r. Suppose 0 = -2*y - 5 + r. Let w be (4\/(-3))\/(y\/15). Let h(k) = -k**2 - 2*k - 6. Determine h(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Let u be t(-1). Suppose 5*z - 142 + 17 = u. Solve -3*w - p - z = 4*p, -4*p = 2*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*42\/(-399)*((-14)\/4)\/((-16)\/(-48))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 6*sqrt(110)*5)\/(sqrt(1440)*-5).\nAnswer: 29*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 35613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 45, 7, -2, 1, 101 in decreasing order.\nAnswer: 101, 45, 7, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 128*t. Let s(v) = 1236*v. Give s(w(p)).\nAnswer: 158208*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 25. Suppose n*u - 194 = 34. What is the remainder when u is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/100, -8, -2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -250.0988476753 and 0?\nAnswer: 250.0988476753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044 = 43*s + 21*s + 52*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/15 + 2 - (-395462970)\/1575 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) -3 (d) 14\/11 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 2*j - 40 = -16*x, -4*x = 2*j + 148. Which is smaller: x or -297\/8?\nAnswer: -297\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-5*(-1)\/15*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + sqrt(68) + (sqrt(68) - sqrt(68)*-2 - sqrt(68)) + sqrt(68))*-4*-6*1)\/((sqrt(60)\/(sqrt(25)\/sqrt(5)))\/((sqrt(105)\/sqrt(5))\/sqrt(7))).\nAnswer: -600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctbf when four letters picked without replacement from bjttftttbjfftbcbfttn?\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1939.2176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixf when four letters picked without replacement from {h: 1, i: 10, x: 3, f: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -7.6701.\nAnswer: -38.3505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18213 divided by 467.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284.3 + -2.5. Let g = 287 + n. Which is the closest to g? (a) 18 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - 12222021120202?\nAnswer: -12222021112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 3*m - 5 + 6.\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = -9*v - 88. Let s be 9\/(324\/114) - v\/(-6). Solve -1\/2*f**4 - 3\/2*f + s*f**2 + 3\/2*f**3 - 2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - f + 0*f = -1535, 2*h - 5*f - 995 = 0. Suppose -2496606*c + 2496627*c - 630 = 0. What is the greatest common divisor of h and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61682342.\nAnswer: 2, 30841171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 2*j**3 - 5*j + j + 2*j**4 to the form f*j + w + n*j**4 + c*j**2 + l*j**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281091858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -0.2 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 4*f + 32\/5.\nAnswer: 2*(f + 2)*(f + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990270429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 26 + 44\/3*b**3 - 7*b**4 + 4\/5*b**5 + 0*b - 10*b**2. Factor j(a).\nAnswer: 4*a*(a - 5)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094893 is divided by 156403.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1127 and 1162 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853869159?\nAnswer: 14519, 196561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/24 and 3\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235278 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5\/w**(-3\/4)*(w\/w**(2\/3)*w)**(2\/19) assuming w is positive.\nAnswer: w**(1343\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 32. Find the third derivative of -1208*a**3 + 2*a**2 - 13*a**2 + 1183*a**f wrt a.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80860601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 52*t**3 + 46*t**2 + 100*t.\nAnswer: 2*t*(t - 25)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1*(-4)\/10*(-16600)\/332)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*(-27782)\/(-87) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 78. Suppose -10*r = -11*r + 11. What is the smallest common multiple of r and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6790579 rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 559, -10, -3, 4 in descending order.\nAnswer: 559, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1304.683 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8028 and 4460.\nAnswer: 40140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112 and -14.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1. Let c(x) = 57 + 3*x - 5*x + 0*x - 62. Give c(o) - 3*f(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 3. Let t be c(2). Suppose 0 = t*s - 4 - 24. Let w be s\/((-32)\/100)*6\/10. Which is smaller: w or -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 + -101?\nAnswer: 1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -56, -83, -110?\n\"Answer: -27*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48136 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1833606, 1833475, 1833344?\n\"Answer: -131*z + 1833737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18290616 to the nearest integer?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 7*h = -l - 10, 3*h = 2*l + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 minus -11865118?\nAnswer: 11865121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40776.4 rounded to the nearest one hundred?\nAnswer: -40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -192466 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 6. Let n be u(-6). Suppose 307 = 180*v + 221 + 986. Which is the third smallest value? (a) 1 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*v = -275, -2*l = 2*l + 5*v - 215. Suppose l = -2*q + 166. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 117, 1\/3, -0.3, -1\/76, -0.9 in descending order.\nAnswer: 117, 3, 1\/3, -1\/76, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*t = 422*t + 60. Which is smaller: -35\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**2. Let r(k) = 3*k**2. Let s(u) = u**2 - 54*u + 320. Let x be s(7). Give x*r(p) - 4*y(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -36049 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from gvvwknwk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1695, -282, -5, -4 in ascending order.\nAnswer: -282, -5, -4, 4, 1695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(475) + -1*sqrt(931)) + (2 + (sqrt(1216) - (sqrt(1216) + -1) - sqrt(1216)))*-2.\nAnswer: -6 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7166537?\nAnswer: 7, 17, 60223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -3. Let h be (-8)\/(-27)*(-3)\/y. Let m = 17156.5 + -17156. Put m, h, 0.3 in ascending order.\nAnswer: h, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513?\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -31526*t + 1. Let d be l(2). Let z = -442402\/7 - d. Let u = 149 + z. Is -7 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4336483039\/1920 - -2258585. Find the common denominator of r and -13\/120.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522 and 55158.\nAnswer: 165474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 56*z + 3*t - 119447 = 0, -2*t - 47766 = -2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, -278, -414?\n\"Answer: -136*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2657, 5312, 7967, 10622?\n\"Answer: 2655*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = 3*u + 3*n, 3*u + 2*n + 2*n - 493 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15646.6461 to the nearest 10.\nAnswer: -15650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124575 divided by -20?\nAnswer: 24915\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2 - (-56)\/6). Let n = 28 - -27. Let j = m + n. What is the highest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43517 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -27.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4634 and -32\/7.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 + -167. Which is the third smallest value? (a) -1 (b) -2\/25 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -36. Let w be (x\/(-34))\/(1\/(-2)). Suppose 0 = 6*i - 2*i + 2*m - 260, 2*i + w*m = 126. What is the highest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -42 + 68 + -10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*c**4 + 1 + 449102*c**2 - 449102*c**2 - 2 - c**4 + 2 + 6*c**4 - c**4 - 3*c**4 + (-c + c**2 + c)*(c - c + 2*c**2) + 2*c**4 + 0*c + 0*c.\nAnswer: -55*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {c: 4, g: 3, y: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1 + sqrt(204))\/(-3*sqrt(243)).\nAnswer: -4*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1055*k**5 + 852*k**5 + 942*k**5)*(0 + 3 - 1)*(1 - 1 - 1).\nAnswer: -1478*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 9*s - 10. Is 20 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -604 - -424. Let i = 179.8341037 + 0.1476963. Let z = a + i. What is z rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 14*o**2 + 13*o - 11. Determine j(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17142 divided by -6?\nAnswer: -2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:29 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 186222 divided by 2\nAnswer: 93111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5530 = 15*b - 16*b. Suppose -7*t = -17*t + b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*h - 4*a - 14622, 2*h - 3*a - 9744 = 0. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201378?\nAnswer: 2, 3, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5280964 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3428 divided by 4.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*n**2 - 25538 - 226*n.\nAnswer: -(n + 226)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837*a = -1282*a + 8010 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, -7, 217, -54 in ascending order.\nAnswer: -54, -7, 2, 3, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r**2 - 1 + 57*r**2 + 318*r**2 to q + a*r + s*r**2 and give s.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9113, 18061, 26869, 35537, 44065, 52453, 60701?\nAnswer: 68809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 216*b**2 - 1420*b + 1200.\nAnswer: 4*(b - 5)*(b - 1)*(b + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = 8. Let a(v) be the first derivative of 3 + 4*v**3 + k*v**3 - 6*v**3 - 3*v. Find the first derivative of a(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:40 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, 4, -3, 2, -16 in increasing order.\nAnswer: -16, -3, 2, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 7) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 - 10 - 8 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -50 + (348\/21)\/2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -ad?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}