diff --git "a/data/dm_maths/full_data_1/1860_11255.jsonl" "b/data/dm_maths/full_data_1/1860_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1860_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*n = n + 5. Let q = -2.2 + 2.5. Put -2, n, q in increasing order.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*j = -10, -8*g - 54 = -3*g + j. Let z be 1\/(g\/16)*(-206)\/2472. Suppose 8\/15*h - 2\/5*h**2 + 0 - z*h**3 = 0. Calculate h.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(640)\/sqrt(5) - sqrt(8) - (2 + sqrt(128))) + (1*sqrt(22)*5)\/(sqrt(11) + (sqrt(11) - 4*-1*sqrt(11))))**2.\nAnswer: 14*sqrt(2) + 697\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*v**2\/3 + 138400*v\/3 + 3830912\/3 = 0 for v.\nAnswer: -1384\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.3149 nanograms to milligrams.\nAnswer: 0.0000133149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5665766 grams in kilograms?\nAnswer: 0.0005665766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 - (0 + -4 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -136*k**2 - 3*k. Let d(r) = 2*r. Determine s(d(n)).\nAnswer: -544*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4599 and 1334025?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -80.00084. What is t rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 divided by -32?\nAnswer: -207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 3*k - 3. Let j be x(1). Let b(s) be the first derivative of 6 - 1\/2*s**2 - 2\/3*s**3 + 0*s. Let c(q) = -q + 1. Give j*c(h) - b(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 638068 * 1.3.\nAnswer: 829488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(6*(-100)\/240)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p + 10. Let w be v(-3). Let i = w - -44. Let c be 8\/i + 16\/48. Solve d - k = -8 + 1, 0 = c*k - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.00000018. What is v rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)\/i)**(13\/6))**49 assuming i is positive.\nAnswer: i**(-637\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:36 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-6))\/4*(-9)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h - 348 = -13 - 175 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 2 + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 451246205 to the power of 1\/2, to the nearest integer?\nAnswer: 21243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684984856.\nAnswer: 2, 85623107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q - 12. What is the smallest value in -3\/5, 1\/3, 5\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/2 - 2*h**2 + 7*h. Determine v(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1584\/(-378) + 4)\/((-26)\/(-9)). What is the second smallest value in a, 2\/11, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 108, 1, -36, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -36. Suppose 5*v - 2*v = 12. Suppose w + 6 = v*w. Solve -g + 7 = -2*l, -5*l + 3 = -w*g + z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20546, -41091, -61636?\n\"Answer: -20545*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -311011010 (base 4) to base 13\nAnswer: -77c60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39928 divided by -4?\nAnswer: -9982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - z = 4, -m + 4 + 1 = -2*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373846 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m - 16. What is u(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2696.1831 months to centuries.\nAnswer: 2.24681925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -163*q - 14. What is o(-3)?\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-15)\/6)*-8. Which is the second smallest value? (a) 4 (b) -0.5 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/15))\/n*n*n*n*((n**(-2\/5)\/n*n)\/n)\/n assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -481 and 132.\nAnswer: -63492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9564, -19164, -28788, -38436, -48108, -57804, -67524?\nAnswer: -77268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 2*k**2 - k - 2. Let q(l) = -3 - 3 + 5*l + 6. Let t be q(1). Let v(w) = -3*w**3 - 5*w**2 + 3*w + 5. What is t*j(h) + 2*v(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18)*-1)\/(5\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1945 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 2*l, -4*j + 4*l = -3*j + 3. Find the third derivative of 5*w**j - 19*w**5 - w**2 + 12*w**2 wrt w.\nAnswer: -840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Let k(d) = -494*d. Calculate k(c(r)).\nAnswer: -988*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y - 2*y)*(91 - 5 - 41 - 43 - 4081*y) to the form m + o*y + i*y**2 and give i.\nAnswer: 4081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125060 and 87542?\nAnswer: 875420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23\/(621\/6) + 12290\/18?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*o + 14*o - 4 + 23*o + o - 2*o**2 to x*o**2 + s*o + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 7 = -5*n + 1, -2*n = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*b - 8. Let v(s) = 5*s**2 + s - 4. Let g(u) = -4*u**2 - u + 3. Let h(x) = b*v(x) - 4*g(x). What are the prime factors of h(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 0.2, -0.2, -0.5, -443?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*m + 161*m - 8 + 308*m as w + r*m and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 79 = -5*u, -13 = -3*t + 3*u + 98. What is the lowest common multiple of 24 and t?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -32, -37, -36, -29, -16, 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 275256 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z + 20, 0 = -3*a + 2*z + 175. What is the remainder when a is divided by (-94)\/(-7) - (1022\/98 - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 79106.\nAnswer: 3\/79106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101848.8m to millimeters.\nAnswer: 101848800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2923928ml?\nAnswer: 0.0002923928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52230667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, u: 2, b: 5, a: 8, f: 1}. Give prob of sequence bbuq.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -5.6. Let f = 5 - h. What is the third smallest value in -5, 1, 5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -67 (b) -0.06 (c) 737 (d) -2\/13 (e) -1 (f) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/15 (b) 0.2 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363198, -363196, -363194, -363192?\nAnswer: -363190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2*y + 2*k - 10, -5*y - 4*k + 7 = 0. Let a = y - -4. Suppose -a*l = -l - 36. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -2. Let h = -3897.8 - -3897.4. Sort h, b, 21, 0.\nAnswer: h, 0, b, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2714 = 2708. Solve -3*c = -12, 0 = -v*l + 2*c - 5*c + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-679)\/2*(-89)\/((-62923)\/(-202))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u + 3 - 10 + 7.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78292 - 35298 = -10*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -29*x**5\/60 + 2*x**2. Let m(b) be the second derivative of b**4\/12 - 40*b + 5. Determine m(h(v)).\nAnswer: 841*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r - 0*r. Suppose -3 = 3*t, 0*k - 5*t - 17 = -3*k. Determine z, given that -1 + 5*z - 3*z**5 + z**2 - 6*z**2 - z**5 + 8*z**k - z**3 - 2*z**r = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16669 >= -16669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -223, -0.1, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let d be w(4). Let y be d + 2\/(-4)*10. Let h(m) = m**3 + 7*m**2 + 1. Let l be h(y). Which is smaller: l or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mihhh. What is prob of sequence hhmi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*3*4 - sqrt(1088) - (sqrt(1088) - 1*sqrt(1088)*-2))**2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -1\/12*u**4 - 13\/6*u**3 + 86*u**2 + 0*u + 0. Let i(g) = 3*g. Calculate t(i(q)).\nAnswer: -6*q - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*z - 6, 0*z - 5*z + 15 = -3*n. Let j be (-8)\/((-24)\/9) - (1 + n). Let q = -12 - -17. What is the greatest common divisor of j and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*1312.\nAnswer: 1180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, p: 2, g: 1, z: 1, x: 1}. What is prob of sequence fx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215354 (base 7) to base 16.\nAnswer: -941c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536286017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/6 - (3 - 2 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -700*c + 2118. What is a(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1273*l**2 - 3 + 1267*l**2 + 2*l + 1. Let s(h) be the third derivative of 7*h**5\/60 - h**4\/8 + h**3\/2 - h**2. Give 2*s(y) + 3*z(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b - b)*(0*b - 2 - 3*b + 3) - 3*b**2 - 2 + 2.\nAnswer: 6*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 1 - 114\/(-3). Let b = z + -33. Suppose -2*s = -0*s - 16. Solve s = -4*q - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-30)*15 + 165\/20.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94810454, 189620902, 284431350, 379241798, 474052246, 568862694?\nAnswer: 663673142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - h. Let a be d(-1). Let o = 17593 + -17597. Sort o, 8, a, 3.\nAnswer: o, 3, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344 + 504 - 1190 + 342 + 46378*i**2 to h + f*i + s*i**2 and give s.\nAnswer: 46378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17\/7, -1\/4, 1, 2\/13, 5 in descending order.\nAnswer: 5, 3, 1, 2\/13, -1\/4, -17\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -86, -96, -120, -164?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*m - 479, 2289 = -5*w - 5*m - 16. Calculate the common denominator of ((-1)\/4)\/(66\/w) and -85\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 9) to base 2\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5619 is divided by 111?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2 - h + 2. Let v be u(-3). Let r = -0.123 + -0.877. What is the third biggest value in v, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -105*k - 2096. Let j be r(-20). Solve -3*i - 62 = 2*b - 86, -j*b = -i - 20 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*w - q, 0 = -4*w - 2*q - 3 - 3. Let y = 52\/3 - 95\/6. Let t = -45\/14 + 7\/2. Which is the closest to t? (a) -1 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 12*o - 159. Let x = -10 + 15. What is the smallest common multiple of x and a(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*h - 5*h + 65538, h + 43686 = 2*r. List the prime factors of r.\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766 - 723 - 235 + 360 + v.\nAnswer: v - 1364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1 (c) -0.3 (d) 0.5 (e) -1\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*w + 1088 = -2947, a - 1361 = -4*w. List the prime factors of a.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 142, 202, 262?\n\"Answer: 60*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -20*h + 220. Let f = 284 - 3126\/11. What is the biggest value in -5, f, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let h(g) be the third derivative of 3*g**3\/2 + g**2. Let j(w) = h(w) - y(w). Does 5 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3224 = 4*k, -1606 = -2*k + 4*o - 3*o. What are the prime factors of k?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*k + 25, 3*r - 63*k = -59*k + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 + 128*p\/13 + 264\/13.\nAnswer: -2*(p - 66)*(p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 6. Let w be d(2). Suppose -w*l - 31 = -77. Suppose 191 = 4*f + l. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhhkdjdjkfdhifjkh. What is prob of sequence fji?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-18)\/300*(-2)\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(2 + -2 + 2). Is 108\/7 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042409197736 less than -7?\nAnswer: -4042409197743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524 (base 9) to base 3.\nAnswer: 120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -686, 4, 3, -10, 595, 0 in decreasing order.\nAnswer: 595, 4, 3, 0, -10, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 36*r**2 - 2*r + 3 + 4*r - 37*r**2. Let u be p(-3). Does 5 divide (1107\/(-12))\/u + (-5)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = s - 11, 3*a + s - 5*s = -17. Put 0, 9, a in descending order.\nAnswer: 9, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -499\/18, 23.2 in ascending order.\nAnswer: -499\/18, 0.1, 23.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(0 - 2*f**2 + 0) + 14*f**3 - 5*f**3 + 4*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 - 53*h + 17 - 48*h + 86*h - 2*h**3 - h**3. Let m be g(5). Which is smaller: -81 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from llmml.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -53. Solve 5 = 3*p + 8, 5*p = 2*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.014*6.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 15836777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + r - 2. Let j(o) = 117*o**2 - 2*o + 46. Let i(f) = -j(f) - 3*z(f). Differentiate i(d) wrt d.\nAnswer: -246*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/5? (a) -4 (b) 2 (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7*t - 4. What is the units digit of ((-28)\/(-70))\/(t\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 - 2*h - 21. Let b be s(6). Let u be (-60)\/18 - (-32)\/(-12). Suppose 0*z = 2*z - 2. Put u, z, -3, b in ascending order.\nAnswer: u, -3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4))**(-9\/10)*(g**6)**(7\/8) assuming g is positive.\nAnswer: g**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.1 (c) 3\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -0.3 (c) -40 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 11*q**2 + 18*q - 7. What is the remainder when p(10) is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**3 + 6*g**2 + 2*g + 6. Let v = -362 + 356. Let y(f) = -2*f**3 - f**2 + f - 1. Let h(u) = v*y(u) - b(u). Let h(x) = 0. Calculate x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r**7 + 0*r - 1\/30*r**5 + 4*r**2 + 0 + 0*r**6 + 1\/336*r**8 + 0*r**3 + 0*r**4. What is the third derivative of b(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15752.\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10894188.\nAnswer: 2, 3, 907849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 135 = 5*u, 2*u - 21 = -m + 12. Factor 50\/17*g**3 + 248\/17*g - 48\/17 - u*g**2.\nAnswer: 2*(g - 6)*(5*g - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 + sqrt(720) + -2 - (5*(sqrt(720) + -2*sqrt(720)) + sqrt(720)) - (4 + (sqrt(720)*-1 - sqrt(720)) - -2*-2*sqrt(720)))**2.\nAnswer: -1872*sqrt(5) + 121716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5323870, 5323872, 5323862, 5323834, 5323782, 5323700?\n\"Answer: -h**3 + 9*h + 5323862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11230440 (base 5) to base 11\nAnswer: -6a6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*y = -26 + 97, -2*y = -3*j - 43. Let m = 17 + j. What is the second derivative of -2*k**3 - 3*k + 6*k**3 + m*k + 4*k wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Which is the closest to -1? (a) s (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*u + 15*u + 106299. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 103 = 53. Let z = u - -37. What is the least common multiple of z and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477632067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362112 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d + 107. Suppose o - 56 = -79. What is the remainder when p(o) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1041*a*h**3 + 52*a*h**2*k - 2*a*k - 5*a + 8396 wrt h?\nAnswer: -3123*a*h**2 + 104*a*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.0206.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = -72 + 37 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4 - 8 + 6 + 1 + 101*c. List the prime factors of r(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = g - 15, 5*z = 3*g - 22 + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 356*j**2 + 18*j + 6. Let m(p) = 2135*p**2 + 105*p + 35. Let o(u) = -6*m(u) + 35*z(u). Let y(t) = 3*t. Determine o(y(d)).\nAnswer: -3150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*t - 1, -8*p + 4*t = -3*p + 1. Suppose 2*m = 5*g - 21, m - 3*g + 13 = -0*m. Put m, 0, 4, p in ascending order.\nAnswer: 0, m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -22. Suppose 3*n = 5*b - 6, -3*b + v = n - 9. Suppose 4 = p, -a = 2*a + n*p - 789. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.72 in 0.2, 3, 4, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139722 divided by 4818.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(((-1)\/8)\/((-98)\/(-196))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -35861*s - 286353. Determine p(-8).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1221?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, s: 6, g: 2, r: 6}. Give prob of sequence rg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -567 + 339. Let n = -227.9999972 - q. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1343682)\/(-1837) + (-6)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 10*s + 2. Let g(h) = 3*h**2 + 11*h + 2. Let f(i) = -5*i + 22. Let w be f(5). Let c(x) = w*a(x) + 2*g(x). Let c(p) = 0. What is p?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 8 + 5)*(-2 + 4 - 4) - 3 - 2 + 3)*(-9*x - 6*x - 8*x) as g*x + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (1 - 59 - (536 - 496)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 10*a - 446. Calculate n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 q, and 1 s when four letters picked without replacement from {n: 5, h: 1, s: 9, q: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + s**3 + 1)*(46664*s - 92197*s + 46002*s - 3*s + 3*s - s - 3 + 3 + 2*s + (-4*s + 0*s + 2*s)*(-1 + 3 + 0) + s - 1 + 1 - s - s + 0*s).\nAnswer: 465*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.047 or -24\/7121?\nAnswer: -24\/7121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2393 - -2392. What is the nearest to -1\/4 in p, 52, 0.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, x: 1, u: 1, h: 2, i: 8}. What is prob of sequence yx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v - 7, 3*h + 2*h + 12 = 3*v. Let f be (-1)\/(32\/10 + h). Let b(m) = -5*m**2 + 1. Let k be b(1). Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtqqtqpqppcqq. Give prob of sequence jpt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/8 in -5, 4, -4, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -1\/20*t**5 + 1\/6*t**4 + 0 + 0*t**2 + 2\/3*t**3 - 44*t. What is u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 t when three letters picked without replacement from {z: 13, m: 1, s: 3, t: 1, j: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -1 (c) 5 (d) 0.2 (e) 63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 41 = 3*w, 2*z + 4*w = -1 + 9. Solve -8*l + z = -14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3204 (base 9) to base 13.\nAnswer: -10c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*i + 6*i. Let a be (-30)\/(-50)*(2 + 13\/i). Let y(d) = a*d - 8*d + d. Calculate y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*p - 206 = -p, 2*b - 3*p = -104. Let v = 16 + -146. Let m = b - v. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exeeexiiieeeox. What is prob of sequence oeee?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(3) - (sqrt(108)\/sqrt(3) - sqrt(36))\/sqrt(12)))\/(4*-2*sqrt(162))*-5.\nAnswer: 5*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152 + -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-7)\/(-35)*(20\/(-12))\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 1. Find the third derivative of 10*f**3 - h*f**3 + 6*f**2 + 2*f**6 - 3*f**3 wrt f.\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2763 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(16\/7)*m)\/m*m)\/m**(-10\/3)*m**(1\/8)\/(m\/m**14))**7 assuming m is positive.\nAnswer: m**(3317\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12338568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -l - 1 + 13, 2*l = 0. Let s = 1 - -11. Calculate the greatest common divisor of b and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/9 - (-4)\/6. Let l = a + -6. Let o = l + 4. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 48*j.\nAnswer: -j*(j - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*-79 - (-2)\/(-4). Calculate the remainder when ((-63)\/6)\/(4\/a) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253 plus 16371632?\nAnswer: 16369379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 726 + -724. Let t(f) be the third derivative of 0*f**4 + 0*f**5 + 0 + 0*f**3 + 1\/40*f**6 - 5*f**l + 0*f. Solve t(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 7*z + 39*z)*(2 + 4 + 4) + 4*z - 3*z + 0*z.\nAnswer: 311*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4a - -66a?\nAnswer: 12b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.68 - -1.08. Let w = 66 + -856\/13. What is the third smallest value in w, 2\/7, j, 9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 185, 273, 357, 437, 513, 585?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from rrdibdrbrbbdidb?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**5 + 5*i**4 + 60*i**3 + 25*i**2 - 10*i = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 299184 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243396438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvxxpxpv. Give prob of sequence vvvp.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -70. Sort f, 3, -3.\nAnswer: -3, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:04 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 1. Let v(x) = -x**3 + 8*x**2 + 8. Suppose 16*o + 79 = 14*o - n, -165 = 4*o - 5*n. Give o*s(l) - 5*v(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 20 - 724 = 0. Let p = -119 + z. Find the common denominator of 68\/(-12)*p\/(-25) and -64\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 16*o - 3*o)*(-3 + 5 + 1) + 3*o + 2 - 2.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 6. Suppose 4*s - 4 = n*s. Suppose 0 = b + s*k + 3 + 4, -b - k = 3. What is the smallest common multiple of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231488 - 3?\nAnswer: 231485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a4 - 10?\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwddez. What is prob of picking 1 d, 2 w, and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose -2*t - t = n*i - 20, -8 = -2*i - 3*t. Solve -4*x + 8*x - a = 22, 0 = 2*a + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 5:22 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 6*f**2 + 4*f + 3. Let b be n(1). Is 687 - (-2 + -4 - b) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) + sqrt(170)*2)*-3)\/sqrt(10) + (2 + sqrt(17) + 3)**2*-3.\nAnswer: -38*sqrt(17) - 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 - 2*v + 1. Let t be g(1). Suppose t*z - 2*o = 16, 2*o = 4*z + z - 21. Let m(d) = d**3 - 4*d**2 - 4*d - 7. Calculate m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 0*i + 0*i + (6*i - 4*i + i)*(8*i**2 + 8*i**2 - 5*i**2 + (1 - i - 1)*(2 - 2 - i)) + 4*i**3 + 3*i**3 - 3*i**3.\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:28 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3600213, 3600225, 3600251, 3600297, 3600369?\n\"Answer: b**3 + b**2 + 2*b + 3600209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13067, -52244, -117541, -208958, -326495, -470152?\n\"Answer: -13060*p**2 + 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7059 - -42.4461. What is u rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 = -3*l - c + 1999, -3*c + 2305 = 2*l. List the prime factors of l.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w + 29*w = 39*w - 312. Let p(m) be the third derivative of 0*m**3 - 1\/20*m**5 + 0 + 0*m - 8*m**2 + 0*m**w. Let b(i) = -15*i. Determine b(p(k)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyxszsg. Give prob of sequence yz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096929306 a multiple of 2442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 9. What is t(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7413 - 18167 - 17*b**2 + 18*b**2.\nAnswer: b**2 - 10754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -179, -3, -1 in increasing order.\nAnswer: -179, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/6 - 4*c**3\/3 - 3*c**2\/2 - c. Let y(m) be the first derivative of w(m). Does 12 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8124, -65151, -220040, -521721, -1019124, -1761179?\nAnswer: -2796816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/108*((-13358)\/265 + 0). Let k = b - -62\/53. What is the common denominator of k and 47\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*r + 0 + 34 = 0, t + 4*r = -6. Let c(q) = -q**2 - 3*q - 5. Let v be c(-4). Is t <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k. Let p(h) = 4*h. Let y(b) = 5*m(b) - 6*p(b). Let j = -2 - -5. Let s(u) = -j*u + 3*u + u. Give s(y(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32011 - 36\/24*8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 9*w**2 - 4*w + 2. What is v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.428 - -0.4149. Let l = -0.01043 - u. Round l to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832372 divided by -138866?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 2\/(-15) - -993*(-2)\/(-45)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55832485 to the power of 1\/2, to the nearest integer?\nAnswer: 7472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -3 + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117)*-3*-6 - (3*sqrt(468) + -3)*3)**2.\nAnswer: -5832*sqrt(13) + 1364769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least as big as -4\/73165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/8)*q*q*q\/(q\/(q*q\/(q\/q**(-2\/7)))*q)*q*q*(q*q*q\/(q*q*(q*q*(q\/q**(4\/5))\/q*q)\/q))\/(q\/q**(1\/5))*(q**4*q**(1\/3))**(-16) assuming q is positive.\nAnswer: q**(-11213\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 52.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -19*o - 96. Let s(v) = 60*v + 288. Give -5*s(p) - 16*z(p).\nAnswer: 4*p + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/50 - m**4\/2 + 11*m**3\/5 - 17*m**2\/5 + 523*m. Factor w(r).\nAnswer: -2*(r - 1)**2*(r + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-1\/12)\/g)\/g))**(-1\/33)\/(((g*((g\/(g\/g**20))\/g)\/g)\/g)\/(g*(g*g**(2\/19)\/g)\/g)) assuming g is positive.\nAnswer: g**(-135343\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 34*d - 450. Let h(x) = 5*x + 4. Let q(o) = 20*o + 15. Calculate d*h(u) - 4*q(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761349 is divided by 20031.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or -315?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 673 = 142. Suppose q = f - 159. Solve j = q + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9481 * 5.49\nAnswer: 52050.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 66450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {a: 13, k: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87672 by -10959.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15217 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15 and 48\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1454*a - 36. What is the hundreds digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-4 - -3)\/(2\/(-4))). Which is greater: r or 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26f (base 16) to base 10\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2)*2 + -10. List the prime factors of (8\/y)\/((-4)\/138).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 31. Sort 0.4, r, -0.4 in descending order.\nAnswer: 0.4, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 1:20 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -70. Suppose -f*t = -i - 2, 3*i - 33 - 25 = -4*t. Let s(r) = r**2 - 11*r - 27. Let k be s(i). What is the highest common factor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*h = -2*v - 351*h + 54, -2*h + 30 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43179, 172250, 387347, 688452, 1075547?\nAnswer: 1548614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 1. Let y(w) = 10*w - 37. Let q(j) = -6*v(j) + y(j). Is 9 a factor of q(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/70))\/a)**13\/(a**(20\/11))**(-8\/5) assuming a is positive.\nAnswer: a**(2383\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 830878776 divided by 281463?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -693, -2747, -6157, -10911, -16997, -24403?\n\"Answer: 2*l**3 - 690*l**2 + 2*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 4*k - 18 = -c, 4*c + 4*k = -0*c + 12. Let r = -1 - c. Is y at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4593.34629 to the nearest ten.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -453.85 + 10.85. Let j = -445 - i. Put -0.01, 5, j, -3 in ascending order.\nAnswer: -3, j, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:22 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 1 = 0. Let j = m - -2. Suppose -3*h + 17 = -j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43361\/112 - 2700\/7. What is the common denominator of y and ((-20)\/48)\/((-4)\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*f = 23, 22 = -0*b + 4*b - 2*f. Suppose 0 = 5*h + k - 20, 3*h = -b*k + 5*k + 12. Differentiate -13*m**h - 3*m**4 - m**4 + 5 + 2 wrt m.\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 132 = -4*x, -3*x = -x + 4*f + 58. Let h = -33 - x. Solve -5*m - 1 = h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 2*f)*(0*f + 3*f - 12*f + (1 - 1 - 2)*(2*f - 4*f + 0*f) + f + 3 - 3).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/3 - 171*u**2 + 8777*u + 26845\/3 = 0 for u.\nAnswer: -1, 59, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4002*m**3 - 2123*m**3 + 479*m**3 + 907*m - 2929*m wrt m?\nAnswer: -33876*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-14)\/18) + (-200)\/72. Let g be (0\/w - -1) + 3*1. Let d = 185 - 180. Solve -g*p + 1 = d*a + 7, 4*a + 7 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 12*l**2 + l - 23. Let k = 2046 + -2034. Give a(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 7. Calculate the lowest common multiple of r(23) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -567 by 6.\nAnswer: -189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 259, 1100, 2501, 4462?\n\"Answer: 280*a**2 + a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3564161 + -5?\nAnswer: -3564166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6398 divided by -457.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/76)\/(25\/40)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 3*w**4\/8 - w**3 + 686*w**2. Let a(v) = -5*v. Give a(y(o)).\nAnswer: -45*o + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 17*s**7\/42 - s**5\/30 - 9*s**4\/8 - 5*s**2 - 3*s. What is the third derivative of j(f) wrt f?\nAnswer: 2040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((0 + (-15)\/(-72))*4). What is the greatest common divisor of w and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Suppose 0 = -6*k + 5*k + 5. Suppose 10 = -k*q + 10*q. Let o(u) = 238 - 238 + 7*u**q. Determine o(p(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2635681293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*f = -46980 - 1836270. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 928394 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113521\/2 - 56760. Factor 5 + 3\/2*k - 3*k**2 + g*k**3.\nAnswer: (k - 5)*(k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 7*f**2 - 7*f - 2. Suppose -13*x - 38 = 14. Let s be 5 + x*5\/20 - 9. Calculate n(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.13 and 200.72.\nAnswer: 200.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 0*o + 2*o)*(2*o - 2*o + o) + 90*o**2 - 270*o**2 + 63*o**2)*(3*o - 3*o + o).\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*l**2*t**2 - 1040*l**2*t - t wrt t.\nAnswer: -244*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (8 - 4 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*a - 48, -2*r + 2*a + 52 = a. Let p(h) = 36*h - 146. What is the remainder when p(10) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((792\/(-32))\/11)\/((-9)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -5*o**2 - 1\/60*o**5 + 0 - 2\/3*o**3 + 1\/2*o**4 + 0*o. Calculate the smallest common multiple of 36 and q(10).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {k: 4, m: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14034, 28094, 42132, 56142, 70118?\nAnswer: 84054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 312 - 312. Which is the second biggest value? (a) q (b) 0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 2. Let z be (0 - (-20)\/15)*9\/3. Let a be n(z). Sort a, 3, 16\/27 in descending order.\nAnswer: 3, 16\/27, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + 5\/10 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10618.\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195840122?\nAnswer: 2, 3, 199306687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 319*x**3 - 2*x + 1. Let v be o(1). Let y be (0 + 1)\/(3\/v). Suppose 2*b + 5*d = b + y, -2*d + 4 = 0. Calculate the highest common divisor of b and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 119*h - 13 = -114*h, 81*t + 31*t + 3*h + 24 + 163 + 264 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 133*s**4\/6 + 247*s**3\/6 + 130*s**2. Let m(d) = -13*d - 6. Determine 247*m(w) + 6*n(w).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3, 312, 13, -2 in ascending order.\nAnswer: -3, -2, 0, 4, 13, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 7*z + 4. What is the least common multiple of 8 and w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 299821600 to the nearest one million.\nAnswer: 300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 3190 + j**2 + 2*j**2 - j**2 + 3126.\nAnswer: -2*j**2 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**1)*b**4)\/((((b\/(b\/b**(-4)))\/b)\/b*b)\/(b\/(b*b*b*b\/(b\/b**(-3))))) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 5390916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17.5. Put -4, 1, f in ascending order.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 4. Let y(d) = 2*d + 2. Let j(f) = -2*f - 3. Let n(k) = -5*j(k) - 6*y(k). What is -3*n(o) + 2*x(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 219*f - 2. Let s(z) = 5*z - 6. Let i(b) = 16*b - 21. Let t(y) = -2*i(y) + 7*s(y). Give j(t(x)).\nAnswer: 657*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 less than -16.9?\nAnswer: -16.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 9\/8 (b) -8 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79455\/(-201286)*(-95)\/12.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -5*p - 3, -l + 2 = 2*p. Suppose -4*d + 5*a + 32 = 8*a, -3*d + 3*a = -3. Sort -81, d, -2, p.\nAnswer: -81, -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.022458\nAnswer: 0.177542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814490 divided by 2?\nAnswer: 907245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q + 36 - 36 + (-2 + 0 + 4)*(-q + 0 + 0) - 3*q + 6*q - 2*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 5*t**3 + 14*t**2.\nAnswer: -t**2*(t - 2)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(105*m**2 + 28*m**2 + 24*m**2).\nAnswer: 314*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691135157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + -30?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-8)\/(-16) + (-1)\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3780048 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*b - 38 = -7*b, 0 = 4*w + 3*b - 135. Let v be (1 - 4)*w\/(-198). Let r = 15 + 91. Is r greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81\/853625 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytyy when four letters picked without replacement from {y: 11, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = a - k - 22, -k = -5. Suppose -a*f - 2*f - 144 = 0. Let s be 4\/(-18) + 1\/f. What is the closest to 0.1 in 0.1, s, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1056 = -5*i, -2*i + 6*q + 414 = 7*q. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-18))\/((-2)\/(-52)). Let w = 47\/6 + z. Which is the closest to -1? (a) 0.1 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 + -188. Let i = -50 + 66. Solve -v*c + 5 = -i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -393090.846 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127 + (-3 - (-5 + 0))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*u - 265 = -1390. Solve g - 5 = -2*c + 9, u = c + g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1217 - -0.2217. Let b = 3 + -2. What is the closest to 3 in b, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:41 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-45 - (40 + -67)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 42560*x + 85100.\nAnswer: 5*(x + 2)*(x + 8510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i - 16. Suppose 3*y = -5*z - 2*y - 70, -2*z - y = 25. Let a be s(z). Does 31 divide 12\/(-18) - (-820)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253428694 to the power of 1\/2, to the nearest integer?\nAnswer: 15919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/27*(-14 - -2). Let g = b - -18. Find the second derivative of -36 + 36 + 8*m**4 - m**4 + g*m wrt m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2037*f + 24444. Calculate o(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 7*j - 9. Let g be c(-7). Let o = 5 - 5. Let x = o - g. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*((-3)\/(-9))\/((-307)\/22104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/3 - 19*o + 60 = 0.\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30632705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -41. Let j be f\/20 + 1\/(-5). Solve 2*r + 3 + j = w, w - r = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 1110 + 43. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2 - 8. Let a = y + 5. Suppose n - u + 2*u = 5, a = u. Solve -n*m = -i - 0*i + 14, -m + 7 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:47 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f*g*h + 20*f*g*x**3 - 2*f*h*x**3 + 4*g*h + h*x**3 + h*x**2 - 4*h wrt x?\nAnswer: 120*f*g - 12*f*h + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -6a2a305?\nAnswer: 6a2a306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-5) - (288\/56 + 5 - 4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15614034 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, -83, -360, -891, -1760, -3051, -4848, -7235?\n\"Answer: -14*s**3 - s**2 - 6*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715342 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -h + 21. Suppose -7*g - 216 = -3*g. Let b = g + h. What is the smallest value in b, -1, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -600 - -600. Let k(z) be the first derivative of -z**5 + 8\/3*z**3 + 0*z**4 + 0*z**2 + v*z - 7. Find the third derivative of k(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 137844.\nAnswer: 137844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -49. Suppose -3*o + 2*z = 415, -l = -2*z + 7. Let w = o + 299. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-6) - 14) + (3 - -3). What are the prime factors of (1 + 6)*-2*(-39 - d)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 172 = -7*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 98*f**4 + 457*f**2 wrt f?\nAnswer: 240*f**3 + 2352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 8. Let k(v) = 4*v - 41. Let o(x) = -2*k(x) + 11*r(x). Let w be o(3). Suppose 0 = -w*c + 7*c - d - 132, -2*d = 5*c - 152. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 2*i)*(-1 - 4 + 6) + 5*i - 2*i + i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 31*s**2 - 12*s - 8. Let x(h) = 3*h**2 - 2*h + 1. Give w(d) + 11*x(d).\nAnswer: d**3 + 2*d**2 - 34*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -92, -3\/4, 3\/7, -4\/9, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5655?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -48. Let 87*p**2 + 7*p**3 + 0*p**4 - m*p**4 + 6*p**4 + 42*p + 41*p**3 = 0. What is p?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16299 is divided by 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 3*n - 63, 8 = 2*n. Let g(a) = a - 8. Let o be g(0). What is the smallest common multiple of (0 - 1) + -1 - o and r?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 4. Let v be a(-4). Let x = v - -8. Suppose -11 = -3*k - 2*n, n - 67 = -2*k - 59. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 0, -4, -430 in descending order.\nAnswer: 63, 0, -4, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48235286633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 30702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 51*w + 2. Let c(k) = 208*k - 4157. Let m be c(20). Give n(m).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p + 30*p - 1236. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 982.7 and -19.5.\nAnswer: 963.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76) + sqrt(76) + 3*sqrt(76)*2 + -5*(sqrt(76)*-1 + sqrt(76)) + 4*(sqrt(76) + 1 + -3 + sqrt(76)))**2*3 + -1.\nAnswer: -1920*sqrt(19) + 58667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 + 324. Suppose f = t + 9. What is the greatest common divisor of f and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 386*v - 61632. Determine t(158).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -37*u**3 - 2*u**2 - u + 1. Is o(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2\/15, 2, 0.23, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = w. Suppose -3*i + 2*r - 5 = -2, -4*r + 14 = 2*i. Let l(v) = -2*v + 2*v - 8*v + 3*v + i. Calculate l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i - i**3 - 7*i - 4*i + 3. What are the prime factors of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(792\/6)*1\/((-7)\/11)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/8*3*(-4)\/(-120)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000001101101110 - -11110?\nAnswer: -11111000001101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-52))\/(9\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -321748 >= -321728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -14.5. Let c = 0.5 - a. What is the third biggest value in -5, c, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22627*i**4 + 52 - 11319*i**4 + 9*i**6 - 11325*i**4 - 30*i**2 + 4*i**3 - i wrt i?\nAnswer: 1080*i**3 - 408*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5330 - -4?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 6*z**3 - z**3)*((-2 - 2 + 2)*(-2 + 4 - 1) + 4 + 1 - 4).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -84. Suppose 367 = z*r - 15797. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*v = -60, 3*x + 3*v = 2*x + 28. Let w = 29 - x. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 - 36*z**3\/5 + 96*z**2\/5 - 92*z\/5 + 6 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2876 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12, 11 + 17 = l - 3*o. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - 35. Let i = 74 + r. Solve m - 5 + i = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10532501 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15\/39529 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/49)\/(((-2)\/(-4))\/(112\/32))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65458\/21 or -3116?\nAnswer: -3116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1516 = -21*m + 53462. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -2. Let x(c) = -c**2 + 9*c + 11. Let i be x(10). Let y be (-2 - (-2 + i))*(11 - 12). What is the nearest to y in -5, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by 20\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 4729145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*u = -7*g - 457, -3*u = 5*g + 749. Let a = 60 - g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -89.13. Let y = 30.13 - s. Let b = y - 29.7. What is the nearest to -1 in b, 3\/7, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3996\/(-2220)*(-530)\/18?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 6*a**6\/7 + 44*a**5\/35 - a**4 - 44*a**3\/21 - 4*a**2\/7 + 845. Solve w(m) = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**5\/55 + 5*q**4\/22 - 6*q**3\/11 + 7*q**2\/11 - 4*q\/11 - 7. Find u such that w(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1361991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/1012)\/((-408)\/561).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 637*q + 564. List the prime factors of a(3).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18179780?\nAnswer: 2, 5, 67, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 22, 53, 114, 217, 374, 597, 898?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mer when three letters picked without replacement from {m: 6, e: 3, r: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2.796.\nAnswer: -1.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 + 372. Let h = -178 + q. What is the smallest common multiple of 7 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-28 - -11) - (-2 + 9 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 12*s**2 + 486*s + 4115. Calculate g(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -11*r + 14*r. Let x(d) = 34 + 2*d - r - d. Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.12836 - -0.04936. Let y = m - 0.021. Let b = 2.0984 + y. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*s = -5, 0 = -4*s - 0*s - 4. Suppose 7*y = 3*y + 4. Let m = d - y. Solve m*c - 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/25 + 4\/5. Let d = 3 + -4. Let p be (-2)\/(-4)*d\/(-4). Are p and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b + 91. Let c(q) = -q - 26. Let m(r) = 7*c(r) + 2*f(r). Let s(o) = -4*o - 14. Determine -3*m(t) + s(t).\nAnswer: -t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 11*q**2 - 6*q - 24. Let z(s) = -s**2 - 6*s - 4. Let o be z(-3). Let n = o - 16. What are the prime factors of p(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79969*x**3 - 53731*x**2.\nAnswer: -479814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 10:08 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 + 165 + (0 - 2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20744 and 346588.\nAnswer: 325844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 51*f + 296. Let m be p(4). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 135, 5, -4, -5, 1026 in ascending order.\nAnswer: -5, -4, -2, 5, 135, 1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or 235\/2?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107 is divided by 359.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/256984 and -123\/4160?\nAnswer: 10279360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*x - 80*f**3 - 79350*f**2*x + 16*f**2 - 2*f*x + 6*f wrt x?\nAnswer: -2*f**3 - 79350*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1555500, -3110993, -4666488, -6221985?\n\"Answer: -p**2 - 1555490*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 - 90*a**4.\nAnswer: -5*a**4*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 95 - 2561*i**2 + 6*i**3.\nAnswer: 6*i**3 - 2561*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s**2 + 5*s. Let n be (11\/(-1) - (-2916)\/252) + (-31)\/(-7). Let t(p) = -p. Determine n*t(y) + m(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40432431 (base 6) in base 3?\nAnswer: -2011200211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(931) + -2 + sqrt(931))*-4)**2.\nAnswer: -3584*sqrt(19) + 238592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**4 + 1 + 16309*o**2 - 15*o**3 - 2*o**4 - 15*o - 16306*o**2 + 17*o**3 to g*o**3 + v + a*o**4 + t*o**2 + h*o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 713*l + 25868 - 12927 - 12939 as i + z*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 688\/(-13) - (914 - 966)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-33) - 10\/55. Let l(r) = -6*r**2 + 1 + 5*r**2 - 2. Determine l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:36 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -9, -1.2, -32717, -0.2, -0.5?\nAnswer: -32717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -120, -209, -296, -381, -464, -545?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 2*j**4 - 4*j**4 + 38*j - 38*j - 49*j**4 + (-3*j**2 + 3*j**2 + 2*j**2)*(j**2 + 1 - 1) to the form h*j + t*j**3 + w + i*j**2 + y*j**4 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - w + 15 + 37, 144*x - 68*x - 2*w + 78 = 73*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 48. Suppose -2*s = -q + 25, 3*q = q + 5*s + m. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1818 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -8*f + 10*f - 10, -5*x = -f + 5. Suppose 121*j = 122*j - 2. Put 3, f, -5, j in increasing order.\nAnswer: -5, j, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**8\/6720 + j**6\/240 + j**4\/4 + j. Let l(c) be the third derivative of t(c). Find the second derivative of l(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 11. Let k be n(7). Suppose k*i - 26 = 18. Find the third derivative of 2*w**3 - 2*w**2 - 6*w**3 + i*w**2 wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3630, 3640, 3648, 3654, 3658, 3660?\n\"Answer: -d**2 + 13*d + 3618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/442288?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149817760 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 - 13*m**3 - 30*m**3 - 62*m**3.\nAnswer: -128*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22850, 91425, 205730, 365765, 571530, 823025?\n\"Answer: 22865*x**2 - 20*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -25. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l - l - l**3 + (-4 + 0 + 2)*(-1 - 7 + 2)*(10 - 3 - 6 + 52*l**3) in the form q*l + d*l**3 + n*l**2 + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 645\/1320 + ((-60)\/(-32) - 2)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 4*c**2 + 4*c - 2 + 3*c**2. Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 7\/5, -5, 0.019, 3, -0.07 in decreasing order.\nAnswer: 3, 7\/5, 0.019, -0.07, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3518 - -3731. Calculate the remainder when j is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let p be (-1 + q)*1\/12. Let b be 18\/(-27) - 15\/(-9). What is the third biggest value in -4, p, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/10*2*4*-5. What is the highest common factor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 3276?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 c when three letters picked without replacement from eeeeevvocehvcaee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6354)\/706*1\/21)\/(71\/(-7))?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3 + 12. Suppose 0 = -j*x - 0*x. Suppose 3*m - 24 = -x*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t - 12 = -2*j, -4*t = 3*j - 1. Sort 0, 7, -1, t in increasing order.\nAnswer: t, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*i + 31. Suppose 108 = -i*b + 19*b. Calculate the least common multiple of b and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 86*n + 339. Let k be o(7). Let y(t) = 941 + k - 1882 + 32*t. Let d(b) = 6*b. Determine d(y(c)).\nAnswer: 192*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**7*z)*z*z*z**(-1\/14))\/(z\/(z\/(z\/(z*z**(3\/14)))))**(3\/11) assuming z is positive.\nAnswer: z**(-386\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80770579823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**2\/9 + 396628*q\/3 + 339968\/9.\nAnswer: -2*(q - 84992)*(7*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -3 - 3 - (13 + -21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -41.6?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*c + t, -3*c - 12*t = -7*t - 46. Let z = 24 - 12. Calculate the least common multiple of z and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/((-7344)\/(-45))*375\/(-150)*12\/(-25)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 638*j**2 - 223*j**2 + 0*j - j.\nAnswer: -861*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*h**2 - 1404 + 702 + 702.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.973469 millilitres to litres.\nAnswer: 0.000973469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 5. Let s be v(-6). Let l be 0*s\/(21\/(-1)). What is the second smallest value in -0.3, -2\/21, l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102007 is divided by 244?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -16*v**3 + 5*v**2 - 6*v + 130. Let g(q) = -16*q**3 + 6*q**2 - 8*q + 130. Let i(u) = -5*g(u) + 6*r(u). Differentiate i(z) with respect to z.\nAnswer: -48*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 13*u + 11. Let w be (19 - (3 - -8))*1. What is s(w)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 74479.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:44 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g + 2*o, -7*g = -3*g - 3*o - 87. Let f(b) = b**2 - 21*b + 36. Calculate f(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 3162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(432) - sqrt(432)*1*3) + sqrt(432))*-5)\/(sqrt(36)*2 + 1*sqrt(324)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 3, n: 1, g: 1, q: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313100144 - 1?\nAnswer: -313100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8248 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2071457mm in centimeters?\nAnswer: 0.02071457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 10*q**2 + 37*q - 294. Give v(8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 + 0*b**3)*(-3*b**2 + 1010 - 1010 + (-66 + 8*b + 66)*(2*b - b - 2*b)).\nAnswer: -22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.47898 - -46.41. Let n = c + 0.07. Round n to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 3102634508.8?\nAnswer: -3102634503.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -29*h + 1345. Let b be m(88). Is b smaller than -4823\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7345879 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 670261.42 to the nearest one hundred.\nAnswer: 670300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428287799.\nAnswer: 3, 389, 1223897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 - 109160*c**3 + 763875*c**2 = 0. What is c?\nAnswer: 0, 7, 21825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3503\/(-11594) - (-5)\/((-165)\/(-9))\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:12 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2735382 by -455897.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 0 (c) -3896 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - a = -6*q - 1423, -5*q - 1429 = 2*a. Let f = q - -289. Solve -5*c + 3*s = 0, 2*c = -2*c - f*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 211*s**2 + 9644*s + 815. Give u(144).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2637\/13 + -203. Let v(s) = s**2 + 5*s - 2. Let u be v(-5). Let l = u - -1. Which is the biggest value? (a) -4 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -t - 30, -x - 7 = -5*t - 31. Let s be ((-14)\/(4\/2))\/1. Let c = x + s. What is the smallest common multiple of c and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + -18 + (8 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:18 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/8, -3, -5.\nAnswer: -5, -3, -2\/11, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 711120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.0662, -14.8, -4, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 12218*c**4 - 61214*c**3 + 452426*c**2 + 61212*c - 440208 = 0. Calculate c.\nAnswer: -9, -1, 1, 4, 6114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l - 20. Suppose 0 = -5*f + 2*y + 124, -55 = -f - f - y. What is the remainder when k(10) is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*r + 1233 = -1451 - 465 - 11 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8305289 - 8305292.600007. Let k = t + 3.6. What is k rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -386, 24, -4, -2 in increasing order.\nAnswer: -386, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 + -179513049?\nAnswer: -179513048.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 13. Suppose 0 = 4*x - 146 - 154. Suppose -4*n = -5*m + 4*m + 30, -5*m = -5*n - x. Calculate the greatest common factor of l and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.437?\nAnswer: 7.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 + 3*g + 12*g**2 + 2 - 38*g**2 + 11*g**2 + 0. Give h(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z**2 + 6*z - 5. Let k(v) = -6*v**2 + 3*v - 2. Let l = 12 - 8. Let r(u) = l*i(u) - 9*k(u). Factor r(y).\nAnswer: (y - 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9170461cm?\nAnswer: 9170.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*a + 9 = 0, 4*o - 5*a + 15 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 7446*g**2 + 22348*g**2 - 7437*g**2 - 7445*g**2.\nAnswer: 20*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.33 (c) 0.4 (d) -1\/5 (e) 4.5 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.043 (c) -818\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-108) - 10\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-20)\/50 + (-324)\/(-10) is divided by (-46)\/(-3) - 2\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17970, 22219, 29300, 39213, 51958?\n\"Answer: 1416*t**2 + t + 16553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1908*u - 12987. Let t be c(7). Solve 10*x - 51*x = t for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5239*h**3 - h - 2783.\nAnswer: 31434*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 265.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*p + 139*j**4 - 11*j**3*p**2 + 24*j**2*p**2 - 2*j**2 - 12*p**2 wrt j?\nAnswer: 24*j*p + 3336*j - 66*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (sqrt(3500)*2)\/(sqrt(35)\/(sqrt(5)*1)).\nAnswer: -7 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 - 131 + 131 as x*l**2 + r + c*l and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - -99. Suppose 0 = -h + 2*h - c. Suppose -h = -4*g - 3. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1184*t - 23. Let l(k) = -1187*k - 24. Let g(z) = -5*l(z) + 6*v(z). Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 + -174. Let g be (-2)\/12 - (-26)\/84. What is the nearest to p in 3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182586 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:13 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + 0. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 3798 = -19*x - 0*x. What are the prime factors of x?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 30 = -6*j. Suppose 0 = -z - z - j. Let w = 11 - z. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrii when four letters picked without replacement from {i: 7, r: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4346875496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267958052*q**2 - 44873128*q wrt q.\nAnswer: 535916104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 2. Let b(j) = 1. Let w(q) = 2*b(q) - y(q). Let d(r) = 5*r. What is d(w(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 10, o: 5, s: 2}. Give prob of picking 1 o and 1 z.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 31*k**2 + 224*k + 256.\nAnswer: (k - 16)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/sqrt(4) + 0 + sqrt(26)\/sqrt(2) + sqrt(13).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let f(l) be the second derivative of 35*l**4\/12 + 2*l. Calculate f(w(v)).\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-100))\/((-8)\/40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (-2 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -11\/9, -2, 2\/9, 406, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 2*y + 792. What is the tens digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214473635 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4))\/a)**50*(a**(1\/3))**(26\/9) assuming a is positive.\nAnswer: a**(727\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 12. Suppose 2*v + v - 97 = y, y = -s. Let h = 0 - -16. Calculate the remainder when v is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14043 (base 16) in base 11?\nAnswer: -56664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -209, -11, 14.\nAnswer: -209, -11, 0.25, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -252*g. Let n(l) be the first derivative of l**3 - 266. What is j(n(h))?\nAnswer: -756*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 629 = -4*h, -a + 6*a + 630 = -5*h. Let m(u) = 16*u + 107. Let j be m(-12). Let v = j - a. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b - 3. Determine t(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 2, d: 5, o: 2, f: 1, j: 2}. What is prob of sequence qo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101991 + 1.00929.\nAnswer: 101992.00929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1111*i + 489*i - 70400 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.869634 kilograms to nanograms.\nAnswer: 5869634000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5.7. Let m = -5.07 - -0.07. Which is the nearest to -1? (a) -4 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobb when four letters picked without replacement from {b: 3, o: 1, f: 5}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 15.56.\nAnswer: -46.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14547 - -181?\nAnswer: -14386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 6\/5, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-14 - 1 - 15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*b + 1030 = -955 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y + 119492 = 117776 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j - 5. Let x(l) = l**2 - 5*l - 7. Let k be x(5). Let u = j + k. Are -2 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92598000 rounded to the nearest one hundred thousand?\nAnswer: -92600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143720 and 22945.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*1*4. Let w be 1 + (-388)\/(-12)*-3. Let x = w + 162. Calculate the greatest common factor of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/13447428 and 79\/828?\nAnswer: 927872532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**11\/k)\/k)\/k**0*(k**(-1))**(1\/13) assuming k is positive.\nAnswer: k**(129\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u + 4. Let f be h(1). Suppose -6*d = -d - f. Suppose 3*r = -2*x + 17, -d + 0 = -r. What is the least common multiple of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 39*b**3 - 78*b - 27. Let m(g) = 3 - 3*g**3 - 1 - 3*g + 9*g. Let l(o) = -27*m(o) - 2*z(o). What is the second derivative of l(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - 3*t**3 + 3147744*t**2 + 3*t + 535433 wrt t.\nAnswer: 24*t**2 - 18*t + 6295488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*v - w, 4*v + 5*w - 66 = 6. Suppose -5*q + v = -27. Suppose t + t + q = 0. Is -3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2212934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/(-7))\/((-1798434)\/6076 - -296).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48837409 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*i = 1254 - 1258, i - 4 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431210 (base 5) to base 8.\nAnswer: 226377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*y - 298 = 47*y - 5737 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**2 + 12 - 4*h + 0*h**2 - h**3 + 0*h**3. Let m be w(-6). Solve o + 3*o - 8 = m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*u + 13, u - 2 = 2*j - 3*j. Suppose -j*b + 100 = -47. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1382 = -9*a + 3*t, 5*a - 5*t = 1390. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g**2 - 781*g - 161. Let b be v(56). Let a(t) = -25*t + 4. Let n(s) = -24*s + 3. Give b*n(f) - 6*a(f).\nAnswer: -18*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1\/32 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8 and 121\/2897692.\nAnswer: 5795384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4572 is divided by 181?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954691 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073107665 to 6 decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -59, -98, -143?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from kktptm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -13*a**5\/5 - 15*a**4\/4 + 8116*a - 2034. Differentiate s(u) with respect to u.\nAnswer: -52*u**3 - 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1594674.\nAnswer: 6378696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 64 = 52. Let g be 0\/((s - -4)\/1). Suppose 4*c = 3*a - 2, g = 4*c - 7*c - a - 8. What is the nearest to c in 2\/21, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)\/f)**(-4\/7)\/((((f\/(f*f**(2\/3)\/f))\/f)\/f)\/(f*f\/f**(1\/5))) assuming f is positive.\nAnswer: f**(499\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743511.\nAnswer: 7, 11, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32713071 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -31*x**2 + 57*x - 903. Let y(u) = 15*u**2 - 26*u + 451. Let a(r) = -5*v(r) - 11*y(r). What is the first derivative of a(d) wrt d?\nAnswer: -20*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n, -66 = -2*s - 0*s - 4*n. What is the derivative of 7*y**4 + s*y - 35*y - 7 wrt y?\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7440 + 401197?\nAnswer: 408637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 32 = -24*a. Let n(s) = s**3 - 2*s**2 - 6*s + 3. Give n(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -94794*t + 12986781. What is s(137)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02328 + 0.22328. What is the closest to -1 in 3\/2, 1\/21, z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-seven halves of a kilogram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(sqrt(171) + 1 + sqrt(171) + -4 + 0 + -2 + sqrt(171) + -5))**2.\nAnswer: -103680*sqrt(19) + 944064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -16*w + 35 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 223267 and -5.\nAnswer: 223262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = -7*z + 3*z, -z = 2*k - 66. Let o(q) = -q**2 + 15*q - 15. Let w be o(10). Is w less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -202, -532, -982, -1546, -2218?\n\"Answer: r**3 - 69*r**2 - 4*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56188 by 2.\nAnswer: -28094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100202112 - -2020121?\nAnswer: 20110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:21 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173378 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*369\/(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 36*t**3 + 4*t**2 + 36*t.\nAnswer: -4*t*(t - 1)*(t + 1)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = t + 5, 7*p - 7 = 12*p + 3*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -14, -7747, -5 in ascending order.\nAnswer: -7747, -31, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s. Let r(f) = 2*f. Let l(y) = 2*o(y) - 6*r(y). Let t(k) = 6*k. Determine l(t(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1042, -2083, -3124, -4165, -5206?\n\"Answer: -1041*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113232300113 + -4?\nAnswer: 113232300104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3931493.\nAnswer: 67, 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 621\/8, -1\/113, 1\/3 in decreasing order.\nAnswer: 621\/8, 1\/3, -1\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/25200*(-14)\/12?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-7\/8)\/((n**3\/n)\/(n*n**3)))\/((n**(-2\/3))**9\/((n\/(n\/n**(-6)*n)*n*n)\/n*n\/n**(2\/15)*n)) assuming n is positive.\nAnswer: n**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + u - 1)*(2 + 0 - 1) + 4*u - 3*u + u)*(-2 - 5*u**4 + 3*u**3 + 0*u**4 + 3*u**4).\nAnswer: -6*u**5 + 9*u**4 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 9363*w**2 - 1 - 20463*w**2 + 0*w - 2*w.\nAnswer: -11100*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -15. Let z = q + 16. Which is smaller: -1\/50 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.055 - -4.655. Let p = l - 3. Let s = p - 1.475. What is s rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 89*g - 93*g = -2074, 0 = x - 5*g - 438. Calculate the least common multiple of x and 304.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 370*o - 36466. Calculate f(188).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*m + 96 + 95 - 288 + 94 - 91*m as t*m + j and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.541 - -0.541. Let z = 33 + -167\/5. What is the biggest value in z, 4, -1\/10, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1335 divide 129438403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-11)*104\/(-260)*10\/(-16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-69 + 97 - 85)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or -249.47?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2 - 0) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -131*l**3 - 7*l**2 - 81*l + 182. Give x(2).\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 9) to base 11\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 9:10 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. Let j(y) = 6*y - 22. Let n be j(v). Solve 0 = 4*d + k - 8, 0 = -5*d + 3*k + n - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 145 = 5*c. Let m = c - 18. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -113*w**3 + 229*w**2 - 10. Let k(d) = 57*d**3 - 115*d**2 + 4. Let q(p) = -5*k(p) - 2*z(p). What is the third derivative of q(n) wrt n?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5*(-5)\/300).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*o + 10724 = 0, -16064 = -3*r + 32*o - 31*o. What are the prime factors of r?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Suppose j = -4*w, w + 73 + 178 = 5*y. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6865, 27460, 61785, 109840, 171625, 247140?\nAnswer: 336385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -460311\/14 less than -32879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -115? (a) 0.5 (b) 0.2 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1191 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33850 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7617392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 - 4. Suppose 5*l - 54 = -g, -g - g = -l + 2. Let w(k) = 3*k**2 - 22*k + 13. Let y be w(l). Let s = y + -100. Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -11, -1, -5 in decreasing order.\nAnswer: -1, -5, -11, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4799*v - 18. Let z be g(12). Suppose 17*p - 82969 = z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0 + 6. Suppose -5*p = -n*d + 3, -8*p - 5 = -3*p - 5*d. Suppose p = -3*c + 25 + 2. What is the remainder when 26 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.098 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4198*j + 4196*j = 5*b + 25, -j = -11*b + 26 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 1, o: 4, d: 3}. What is prob of picking 1 q and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34333323.\nAnswer: 3, 19, 151, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60157975 + 220*k**2 - 60157975.\nAnswer: 220*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.1346 kilograms in grams?\nAnswer: 124134.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 11) in base 14?\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 83, 2 in descending order.\nAnswer: 83, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhhhhyhhhhhhhyhhh. What is prob of picking 2 y and 1 h?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*r**3 + 489895 - 489895.\nAnswer: 171*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17))**(1\/36)\/(b**17)**(-41) assuming b is positive.\nAnswer: b**(25075\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2198?\nAnswer: 10990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jehew. What is prob of sequence jhwe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4214 (base 7) to base 9.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 195525.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14126 + 14716. What is the remainder when 1215 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, f: 2, v: 1, s: 3, q: 4}. Give prob of sequence sus.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7))**(-10)*(h\/(h\/(h\/(h*h**2*h*h)*h)))**30 assuming h is positive.\nAnswer: h**(-590\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let h(u) = 13*u. Let l(r) = -7*r. Let t(s) = 6*h(s) + 11*l(s). Let i(q) = 7*q**2 - 2*q. Let o(m) = 2*i(m) + 4*t(m). Calculate z(o(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from gvwmf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.11, -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8449.44cm in meters?\nAnswer: 84.4944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3422\nAnswer: -1\/3422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5423 - 5399. Solve 26*v = n*v - 12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*-1 + 2\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 - -c?\nAnswer: -f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 946450980 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-240)*-4*20)\/((-7)\/(6*-7)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3924620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2 - 56. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/21)\/(p*p**(5\/7)) assuming p is positive.\nAnswer: p**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) -5 (b) 5 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/31)*u)\/u)\/(u**(2\/17)\/u)*(u\/(u**(-1\/3)*u)*u)**(-21\/4) assuming u is positive.\nAnswer: u**(-3258\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/7 - 34*l**4\/7 + 60*l**3\/7 + 4*l**2\/7 - 62*l\/7 + 30\/7 = 0 for l.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 18*j - 630. Suppose -2*d = 2*z - j - 53, -3*d + 2*z = -162. Suppose d*r = 53*r + 4. Which is the third smallest value? (a) r (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 630 - 630.289. Let j = b - 1.793. Let p = j + 2.1. Round p to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2 - 15*c + 2480. Let q(m) = -7*m**2 - 11*m + 1664. What is -5*i(v) + 7*q(v)?\nAnswer: v**2 - 2*v - 752","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -1350?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6443 + 1389*f**2 + 6443 - 843*f**5 - 157*f**5 wrt f?\nAnswer: -60000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -72 - 103. Let b(x) = -72*x - 5899 + 5899 + h*x. Let z(c) = -2*c**2. Determine z(b(p)).\nAnswer: -8978*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 1. Let a be f(1). Let w be a - ((-359762)\/32 + 1). Let v = -11241 + w. Find the common denominator of v and 149\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 + t. Let d(x) = -x**3 - 20*x**2 - 37*x - 20. Let g(j) = -d(j) + 2*l(j). Determine o so that g(o) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 4570776.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + 4*d - 5*d + 7*d to the form j*d + c and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1197*s**3 + 105*s + 105. Let b(c) = 2*c - 4*c**2 + 2 + 0*c + 0*c + 23*c**3 + 4*c**2. What is 105*b(n) - 2*y(n)?\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 5 in descending order.\nAnswer: 5, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 1, s: 2, q: 2, p: 1}. What is prob of sequence aqp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8027 - 16059 + 344*i + 8033 to the form r*i + t and give r.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*v**3 + 3*v**2 + 118?\nAnswer: 60*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/615 and -86\/75.\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14010 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6980 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 3, -67776 in increasing order.\nAnswer: -67776, -59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70975 - 2041 = -8*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - (5 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 28. Let u = 22 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 12\/162605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1349519*l + 29689418. What is i(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 7235781 = 58*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3556 (base 8) to base 15\nAnswer: -86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 566109989 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152793 is divided by 137.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 30. Suppose -5*n + j = -6. What are the prime factors of (n\/6)\/((-22)\/(-495))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1646 or 1585?\nAnswer: 1646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -387, -1019, -1935, -3141, -4643, -6447?\n\"Answer: -m**3 - 133*m**2 + 52*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58584 or -234335\/4?\nAnswer: -58584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 1189, 2716, 5275, 9112, 14473, 21604?\nAnswer: 30751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9851, 39201, 88119, 156605, 244659, 352281, 479471?\n\"Answer: 9784*u**2 - 2*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2001, -2, -0.1 in ascending order.\nAnswer: -2001, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 + 364*l**4 - 5472*l**3 - 6544*l**2 + 11648*l = 0.\nAnswer: -104, -2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose -f = -2*f + z. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10609 + -10620.653. Let n = 11.6 + o. Round n to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*g + 2062, 4*k + 8*g = 3*g + 8180. Suppose -4*q - 4*u = -5072, 2*q - 3*u = k + 511. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1759298.\nAnswer: 5\/1759298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41439283.\nAnswer: 233, 293, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.90684182 rounded to two dps?\nAnswer: -101.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 8\/(-5))\/((-3294)\/(-13725)). Sort 5, s, 0.006 in decreasing order.\nAnswer: 5, 0.006, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 2\/13, -0.3, 3 in increasing order.\nAnswer: -6, -5, -0.3, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 708683?\nAnswer: -708683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, and 1 q when three letters picked without replacement from {q: 2, p: 4, y: 2, g: 6, o: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 is divided by 169?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 4 + 4)*(134 + 3*l - 135 - 4*l + l - l + l + 4*l - l - l + 3 - 3 - l + (0 + 2 - 1)*(-l + 3*l + 0*l) + 3*l - l + 0*l - 1 + l + 1).\nAnswer: 6*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 + 4*w**4 - 9*w**4)*(0 + 4 + 15)*((w + 0*w + 0*w)*(3 - 2 + 0) - 1 + 1 + w).\nAnswer: -38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 15*z**2 - 3*z + 31. Determine n(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-7))\/(115\/(-796145)). Let g = -8865 - -3799. Let i = g - v. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j - 7635 - 1829 = 0 for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {v: 1, z: 2, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*m**2*w**2 - 133759*g**3*m**2 - 4648*g**2*m*w**2 - 2*g**2*w + 2*g*m + 4*m**2 wrt g.\nAnswer: -24*m**2*w**2 - 802554*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+0.0233\nAnswer: 0.0733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-36)*(-481 - -221) - -15?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.9 + 36.5. Let l = 13.6 - g. Which is the biggest value? (a) 4 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17000 divided by -170?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c89 (base 16) in base 12?\nAnswer: 1a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 - 9*d + 20. Let i be r(-7). Is -73\/5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 3)*(8 + 11 + 1067*a + 6 - 25).\nAnswer: 5335*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -74*f + 2. Let v(a) = 366*a - 11. Let y(u) = 11*s(u) + 2*v(u). Let l(z) = 2*z. Calculate l(y(q)).\nAnswer: -164*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -5, 88 in decreasing order.\nAnswer: 88, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a33055 - -4?\nAnswer: -1a33051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3282778 + -18?\nAnswer: 3282760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/546 and 103\/18.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15663795 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1184554*s + 822153 wrt s.\nAnswer: -1184554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/1035*-230*(6 + (-9)\/(-5))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3*-4*(-1)\/156*2)\/1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85\/27 + 493\/108. Find the common denominator of t and 7\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*l**4 + 138101*l**3 - 24017507 wrt l?\nAnswer: -156*l**3 + 414303*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, -27 in decreasing order.\nAnswer: 2, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -911 + 912. Let b be 9\/(-7) + (-2)\/(-2). What is the fourth smallest value in b, o, -3, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - 170 = 41*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/25*70\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7a + -519?\nAnswer: -49f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 15347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(8\/(-24)). Suppose 2*k = 4*k - 2*h - 30, 2*k - v*h - 33 = 0. Calculate the greatest common divisor of 108 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34568 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, 365, 5, -2\/5 in descending order.\nAnswer: 365, 5, 2\/3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, -0.2, -2\/189, 0, 7 in descending order.\nAnswer: 78, 7, 1, 0, -2\/189, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -28*(-8)\/64 - 10*(-12)\/(-30). What is the second smallest value in 0.1, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - 29*g**3\/6 - 14*g**2 - 212*g. Suppose h(p) = 0. Calculate p.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19384457 to the nearest integer?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18232763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) -0.5 (c) -62 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*(c*c**(-1\/12)*c)\/c*c**16*c*c*c\/((c*c**(-2\/29)\/c*c*c)\/c) assuming c is positive.\nAnswer: c**(5215\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((964 - 954) + (22\/(-8) - -1))\/((-6)\/16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231130201 - 12?\nAnswer: -3231130213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 32 + -12 + -17 - 8) + 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.811 from 0.08.\nAnswer: -11.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114212301001 + -10?\nAnswer: -114212301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14515878284 and 0.2.\nAnswer: 14515878284.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1171, -2314, -3423, -4498, -5539, -6546, -7519?\nAnswer: -8458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*a + 1002*a = -48 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 75 + 2 + -14\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9030419733 rounded to the nearest 100000?\nAnswer: -9030400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(198))\/sqrt(2) + 3.\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -36. Let q = -22 - s. Let r = q - 6.00045. What is r rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) -3.43 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*m = -2*m - 8, -2*m - 2 = 2*t. Let h be 25\/(-2)*-1*t. What is the common denominator of ((-2)\/(-16))\/(h\/(-340)) and 61\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 2. Let c be x(6). Let m = -139\/6 + 131\/6. What is the closest to 1\/6 in m, c, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**2 + 190*b - 9. Give g(15).\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -308.32 * 91.7\nAnswer: -28272.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 5*a**2 - a**2 - 4*a**3 - 4*a - 19 - a**4 - 10*a**2. Determine n, given that x(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1611.9? (a) 0.3 (b) 27 (c) -7 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/6 + 2*f**2 + 3*f. Let y be v(0). Solve -y*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 25, 15, -11, -59?\n\"Answer: -f**3 + f**2 + 4*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (745\/(-298))\/(10\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_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: Product of -121809 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 - 1)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 1498 = 670*i - 697*i. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 10. Are g and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1767 + 1767. Let z = 54 + -164\/3. Which is the nearest to 19? (a) 1\/2 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 10*m + 91 = 4*r, 4*r + 4*m - 96 = 0. Let i(w) = -5*w - 6. Let g be i(-5). What is the highest common factor of r and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158670 is divided by 22665?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*g - 31, -g + 2*u - 5 + 3 = 0. Find the second derivative of -29*m + 33*m - m**4 + 9*m**5 + m**g wrt m.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 237 (b) 3\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75368 is divided by 7534?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3073, 12297, 27669, 49189, 76857, 110673?\nAnswer: 150637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (28 + -68 - -29).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/982935 and 35\/123777?\nAnswer: 16709895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1275 or -1079?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 14) to base 9\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 31400185*a**2 + 49298565201615*a - 49298596601805.\nAnswer: 5*(a - 1)*(a + 3140019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l + 24*l**3 - 78*l**3 + 26*l**3 + 20*l**3 - 1 to the form r*l**3 + j*l**2 + y + m*l and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*n**2 - 14*n - 47*n**2 + 7*n**4 - 5*n wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 17*a - 57. Let f be (3*(-2)\/12)\/(3\/66). Let p be b(f). What is the fourth smallest value in 2\/3, p, 6\/5, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 0.04815?\nAnswer: -0.06815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-252)\/20 - -6*(-3)\/(-30)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 166*w**2 + 1292*w - 9. List the prime factors of j(8).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 131, 129, 127, 125?\n\"Answer: -2*q + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11998 - 18431. Let n = h + 11184. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + -5 + (-11 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40590 and 492?\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(396) + -5 + sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) + 1)*-6.\nAnswer: -54*sqrt(11) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-90) - 1)*(-37 - -46).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 1\/3*j**2 - 2*j.\nAnswer: (j - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87856386833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 22*z + 6*z - 130*z**2.\nAnswer: -130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c**2 + 25*c + 20 = 0 for c.\nAnswer: -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5, 0*d = 5*d - 3*w - 84745. Let h = d - 28894. Let s = h - -1265861\/106. Find the common denominator of -9\/14 and s.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 24 + 3. Suppose 0 = 3*v - c, -5*g - 6*v = -v - 15. Let i be g + 28*4 - -3. Calculate the highest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532112461 rounded to the nearest one hundred thousand?\nAnswer: 1532100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + sqrt(343) + -3*sqrt(343)*2 - (-5 + sqrt(343)*2 + -1 + 5 + sqrt(343) + -1)) + -2)**2.\nAnswer: 672*sqrt(7) + 21988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = 2*d - 7, 5*d = -2*b + 8. Let i be 9*((-21)\/(-9) - 2). Suppose 4*g - 31 = 5*z, 5*g - i*z - 35 = d*z. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Let r = -521997 - -522006. Solve -n + r = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x**2 + 5*x**2 - 5*x**2)*(1 - 3 + 4) - x**2 - 5*x**2 + 3*x**2)*(-27*x + 125*x**2 + 27*x).\nAnswer: -1625*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, 0, 184, 502, 960?\n\"Answer: t**3 + 58*t**2 - 125*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 - 26 = 0. Suppose 4*n - 3*n - 2 = 2*d, 4*n = 3*d + g. Suppose 0 = -3*k - 3*y + 18, 16 = -0*k - 4*k + 4*y. Solve d = i + k + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12510003705350 from -0.1.\nAnswer: -12510003705350.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97.18609nm?\nAnswer: 0.09718609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 14*b + 70. Let w(t) = 4*t - 9. Give w(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (5 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4619 is divided by 4530.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -20. Let u(f) be the first derivative of f**4\/4 - f**3 + f**2\/2 - 2*f + 1. Is u(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*z + 8958, -4*z - 174 - 6994 = -4*f. What are the prime factors of f?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 - 2 + (-1 + 0 + 2)*(-6 + 3 + 2))*(69*u**3 - 6*u**4 - 69*u**3 + (-u + 2*u**2 + u)*(u**2 - 2*u**2 + 0*u**2))*(2 - 2 + 6*u).\nAnswer: -384*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:43 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d**2 + 2*d + 1. Let a be o(-1). Let v be (-348)\/(-42) + (-4)\/a. Solve 3*u + 3 = -y + v, y + 4*u = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.04 - -2.94. Let x = -21 + 20.1. Let u = x + a. Is -2 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 10. Let g(b) = 2*b**3 - 2*b**2 + 3*b - 3. What is the remainder when -1 - (4 - 1 - -16)*-1 is divided by g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u + 2*u)*(52*u - 81*u - 82*u).\nAnswer: -222*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3872*z + 9102*z - 146440 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 - 34*p**3 + 4*p**2 - 213 - 4*p**2 + 630 - 213.\nAnswer: -34*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61082 by -4.\nAnswer: -30541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*y + 2*y + 12, -18 = -5*l + 4*y. Let f = l - 1. Let v(h) = 0*h + 3 + 3 + 2*h - f. Determine v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**6\/180 - a**4\/12 - a**3 + 3. Let v(c) be the third derivative of j(c). What is the derivative of v(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1330\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*r + 33, l = 4*r + 2*l - 13. Suppose -r*q = w - 2, 2*w - 4 = 2*q - 6. Sort q, -1, 2, -37.\nAnswer: -37, -1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 3. Let n(f) = -3*f - 4. Let j(b) = -4*c(b) + 3*n(b). Let z(a) = a**2 - 2*a + 9. Let d(u) = -2*j(u) + z(u). Differentiate d(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 120090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r = 208*r - 249480. Calculate the lowest common multiple of r and 42.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 247, 673, 1099, 1525?\n\"Answer: 426*p - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -963.441 + 963. Let v = 0.41 + w. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:03 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-9 + 9 + 7*r)*(-13 + 7 + 10)*(0*r**2 + 0*r**2 + 2*r**2).\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38302 is divided by 38288.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/6 - x**2 - 2*x. Let g(a) = -a - 3. Let r be g(-5). Suppose -10 = 3*d + r*d. Give o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (15 - (2 + (11 - 3)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 - 3*c**3 + c**3 + 3*c**3 - 3*c**3 + c**3 - 45*c**3 - 26*c**3 + 17*c**3 - c**3 + 1 - 1 + (4 + c**2 - 4)*(1 - 1 - 2*c).\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 0.0685?\nAnswer: -0.7535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(27\/(-2)) + (718\/(-234) - -3). Which is the closest to k? (a) 0 (b) 1.5 (c) 0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986084.\nAnswer: 2, 11, 73, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*m + 1093 = 2*m, m = -4*c + 887. Let f = 374 - c. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: What is 584 minutes after 9:41 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -2.3. Round i to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:07 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1869 - 47670754.\nAnswer: -47670754.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y. Let v(c) = -601*c**2 + 2*c - 2. Give v(i(f)).\nAnswer: -9616*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/1679103 and -52\/513?\nAnswer: 31902957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11135469.\nAnswer: 3, 1109, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 22\/5, 6, 29 in descending order.\nAnswer: 29, 6, 22\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31846, 63691, 95536, 127381?\n\"Answer: 31845*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -7*u**6\/3 + 128*u**5\/5 - 19*u**4\/2 - 136*u**3\/3 - 28*u**2 + 101*u. Let w(k) = 0. Calculate k.\nAnswer: -2\/5, -2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {g: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(15\/(-20)). Let s be 10\/25 + (-36)\/(-10). Suppose f - 30 = -s*x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 3265478465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2*v + 2*v)*(20136*v - 4544*v + 8065*v + 3223*v) as z*v**2 + c*v + f and give z.\nAnswer: -26880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 28. Suppose 0 = 2*o - q - 0. Suppose -7*n = -o*n - 10. What is the smallest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 2. Suppose -3*z = -4*z + c. Suppose 3*g = z*g + 9. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 5. Let s be o(-4). Let w(x) = 115*x - 37*x - 48*x. Is 10 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*r + 5 - 5 + 23*r to the form u*r + c and give u.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 3*s**7\/70 + 221*s**6\/40 - 23*s**5\/6 - 49*s**4\/2 + 148*s**3\/3 - 650*s**2 + 2. Factor h(k).\nAnswer: (k + 1)*(k + 74)*(3*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1537892.\nAnswer: -3\/1537892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 2*b**2 - b + 10. Let j be z(8). Suppose 2*x - 4*o - j = 0, 0 = x - 0*x + 3*o - 173. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 141. Solve x = -8*t - 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (4 + -3 - 3) - -140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - u = 10*n + 3, -5 = 5*u. Solve -n*o + 3*f - 14 + 0 = 0, 3*f - 17 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d**2 - 9*d - 2. Let c(j) = 46*j**2 + 13*j + 3. What is -5*c(i) - 7*k(i)?\nAnswer: -13*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-20))\/((-928)\/80 + 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47340.476 times 1.3?\nAnswer: 61542.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 672\/(-96)*((-2)\/(-2))\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 - -334. Let g = 7.000845 - q. Round g to 5 dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = -3. Let l = 19 - t. Solve 7*f - l = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p. Suppose p = 9*u - 3*u - 756. Calculate the highest common factor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Solve -3*h - 4*g = -y, -2*h = h + g + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d**2 - 66*d - 66. Let u(j) = -j - 1. Determine o(m) - 66*u(m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = 2*v - 3*v, k = -3*v + 15. Let w = -24 - -28. Suppose 2*c - w*c + 1658 = k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 511 = -w, -1037 = -2*w - 3*p. What is the remainder when w is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104936 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -22, -2, -5.\nAnswer: -22, -5, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30033572 or -30033586?\nAnswer: -30033586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*b = -12, 4*h - 18 = -b - 0*b. Suppose 2*l + 5*s - s = 26, -h*l + 2*s = -89. What is the remainder when (-676)\/(-20) + (-4)\/5 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -8*x**2 + 4*x - 11. Let y be c(3). Let j = -32 - y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 7*w + 5. Let i be j(-6). Let a be (-1)\/(4\/i + 3). Sort -4, -5, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 8050*k - 3240125 = 0 for k.\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four thirds of a day?\nAnswer: 30720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.036 - -562648008.\nAnswer: 562648008.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 5688*x**3 + 118823*x**2 - 1042392*x + 1904112 = 0. Calculate x.\nAnswer: -5667, -28, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-180)*-9)\/((-5)\/(-650)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*j - 230, 12845*j - 12840*j - 234 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, -1, 5, 23 in descending order.\nAnswer: 211, 23, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -799?\nAnswer: 5\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390849872.\nAnswer: 2, 7, 229, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80 - (-37 + -9)) + (-5 + -2 - (6 + -2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 4*y - 8, -4*f - 44 + 28 = 4*y for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.6 (b) 0 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71840250 and 30450.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29975333.\nAnswer: 73, 410621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -403, -442, -481, -520?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 - 9*k**2 + 2*k + 45. Let f be w(-7). Solve 0 = -622*x + f*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:57 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 93, 320, 763, 1494, 2585, 4108?\n\"Answer: 12*y**3 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - 77*o**2 - 48*o + 55. Let q be y(-25). Suppose -12 = -5*b - 3*s, 3*b - 2*s = 9 + 2. Let u(x) = 5 + b*x - 3*x - 2*x. Determine u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-112 + 13*d + 112)*(d + 2*d - d) - 4*d**2 + 4*d**2 - 2*d**2 in the form v + n*d + h*d**2 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306280.\nAnswer: 2, 5, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143508 = -56*b + 68*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*j - 624450 - 422637 = 10775*j for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360874 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrrrxrrrx. What is prob of picking 1 x and 2 r?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 910462*p**2 - 207238905161*p + 1657852972232 = 0. Calculate p.\nAnswer: 8, 455227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 53732878?\nAnswer: 3\/53732878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8\/3 (b) 0 (c) -13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58769461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 4*z**2 + 4*z**2 - 2049*z**3 + 2048*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/49 (b) 4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q**2 - 8*q**2 + 13*q**2)*(-3 - 2 + 2) - 24*q**2 - 2*q + 7*q + 27*q**2.\nAnswer: -51*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -25. Let r = p - -30. What is the remainder when 133 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/132839 + -7437058\/127923957. Find the common denominator of y and 27\/856.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561 or 2798\/5?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1 + 0 + -4)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22*385\/245*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 700474 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooonoonnnnooonoxo. What is prob of sequence nxon?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14352 rounded to the nearest 100?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7645 - -12768. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 34 - 186. Let l = -24 + u. Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, 145*o - 146*o - 4860 = -3*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-54) - (-14)\/(-18). Let g(t) = -t**2 + t + 1. Let u be g(p). Calculate the common denominator of -59\/8 and u\/4 + (-174)\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 4\/5 (c) 1\/2 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17769480, 35538981, 53308482, 71077983?\n\"Answer: 17769501*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40301554481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, 1 f, and 1 t when four letters picked without replacement from vavtfvftffstt.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0 + 0 - 2*n - n + n + (1 - 1 - n)*(6 - 4 - 1) + 2*n + 3*n - 4*n + 16*n - 9*n + 4*n)*(-7*n + 2*n + n) as z + m*n + p*n**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 14*m**2 - 2*m + 31. Let l be s(14). Differentiate -18*k**l + 3*k**2 - 389 + 372 - 3*k**2 with respect to k.\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44903642?\nAnswer: 2, 7, 1061, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 2*j + 119 - 237 + 134. What is c(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48497 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10034364 and 4652.\nAnswer: 10034364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*x - 80. Let a = -53 + 77. Let g = a - x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -347 (base 11) to base 16.\nAnswer: -19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-7)*b*b)\/b*b*b*b**(-1\/3)*b\/(b**(1\/4)\/b)*(b\/b**0)\/b)**46 assuming b is positive.\nAnswer: b**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -32*v**3 - v + 1. Suppose -6*m = -2*m - p - 1, -m - 2*p = -7. Let w be r(m). Let d = w - -101. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 6*n - 7. Let z be a(7). Suppose 5*u - 2*x - 139 = z, -u + x - 4*x = -21. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098157 to four dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 3 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 5*r**2 - 2*r**3 + 2*r**2 + 7*r - 4. Let z be n(6). Is (-2)\/5 + z\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = n + 5*i, 0 = -3*n + 3*i + 45. Let q(l) = 38*l + 1. Let g be q(1). Calculate the greatest common factor of g and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 5, a: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifitfltfstb. Give prob of picking 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-143))\/((-1144)\/(-7436)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 851904536.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 10*g. Suppose 0 = g*p - 6 - 14. Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 24126\nAnswer: -2\/12063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2194)\/(-10) + 30\/50. Suppose -4*f - v = 360. Let y = f - -264. What is the greatest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 2*t. Solve 3*c = -t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-7 + -13 - -9) - -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/36 - (-2)\/9. Suppose d = -2*g - 2*g - 16. Let r(b) = 2*b**2 + 8*b + 4. Let t be r(g). Solve t*p - 4*h = h + 12, -2*h = -2*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 615129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Suppose 364302*w - 364272*w = -150. Which is the third biggest value? (a) w (b) i (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 6 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/71 - 148\/213. What is the biggest value in 0.1, 12\/17, y?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, -2, -462, 42 in descending order.\nAnswer: 42, -1, -2, -4, -5, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15962?\nAnswer: 2, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6549 + -18175. Let v be (m\/(-4) + 2\/(-8))*-48. Round v to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4997 + 4997.00028357. What is t rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67110881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from kkkkkkooyookkvkkyok.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -0.0438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 11*p - 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2310 and 83930.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 944*a + 14676. List the prime factors of c(47).\nAnswer: 2, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-1430)\/30)\/11*-3*1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let n(r) = 56*r. What is v(n(i))?\nAnswer: -112*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -62 + 24 + 23 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 2 - 3*h**4 - h + 5*h**4 + h**4 as f*h**2 + s*h**4 + z*h**3 + a + w*h and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 5*a + 3. Let z(h) = 8*h**2 - 12*h - 8. Let g(j) = -5*x(j) - 2*z(j). Let i(s) = -2*s**3 - 4*s**2 - 12*s + 12. Determine 12*g(w) - i(w).\nAnswer: 2*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4370865 divided by 874173\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13878629 times 4\nAnswer: 55514516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844051 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**9\/68040 + o**8\/15120 + o**7\/11340 + o**4\/3 + 4*o. Let f(x) be the third derivative of r(x). Factor f(a).\nAnswer: 2*a**2*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)\/sqrt(2))\/(sqrt(10)\/sqrt(18) - sqrt(5)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -5*q - 3\/4*q**4 + 0*q**2 + 0*q**3 - 3. Differentiate k(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/25)*l**(-41)\/l)\/((l**(18\/11)*l)\/(l\/l**(11\/2))) assuming l is positive.\nAnswer: l**(-27047\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 + 50 - 34 - 27 - 30*l - 16 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 8. Let u be t(-11). Solve -9*a = -u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 9*n**2 + 3*n + 20. Is k(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20 + 5\/(15\/(-6)). Let n be (-4)\/2 - 0 - -60. Suppose -n + c = -5*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 4337 - 4274 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807 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: What comes next: -397198, -398215, -399910, -402283, -405334?\nAnswer: -409063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -82\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13277.8 - 13281.8. Let z = -1.9 - 0.1. What is the biggest value in 4, z, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/280, 0.08, 7, -0.4, 2, 62?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -1\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13010373 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, d: 1, r: 1}. Give prob of picking 1 r and 1 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 - z**2. Let g(c) = 11*c**2. Calculate g(a(u)).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46768 + 46766.79993. Let j = -3.7 + 2.5. Let p = j - u. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 2*y**3 - 2*y**3)*(639*y**2 + 4 - 3 - 727*y**2).\nAnswer: -88*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by 81\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + 4 + 9*n - 4 + 9 wrt n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 13. Let h be j(-13). Suppose -2*p + 5*g = 0, h*g = -5*p - g + 27. Solve 8 = -3*b - 4*i, -p*b + 2*i + 2 = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269032729 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 3 + 4*sqrt(1872) + (sqrt(1872) - 3*(0 + sqrt(1872))))**2.\nAnswer: 288*sqrt(13) + 7522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Let m be (9\/(-12))\/(2\/8). Which is the second biggest value? (a) m (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-459*p + 459*p + 19*p**4)*(p + p - 8 + 9).\nAnswer: 38*p**5 + 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159800 and 1018300.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45645882?\nAnswer: 2, 3, 241, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i)*(-3 + 3 - 1)*(-6 - 12 + 6 + (-1 + 2 - 2)*(3 + 0 - 1))*((-4 + 4 - 1)*(-5 + 3*i + 5) + 2*i - 2*i - 4*i).\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -378, -564, -748, -930, -1110, -1288?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31979, -31993, -32023, -32075, -32155, -32269, -32423?\nAnswer: -32623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157998793 is divided by 4150.\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - -26) - (-147 - -151)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8342*p**3 + 5*p**2 + 6*p + 28. Let n be j(8). What is n rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.372629 rounded to three decimal places?\nAnswer: -0.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssssikoi. Give prob of picking 1 j and 2 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 0*d + 7 + 2*d. What are the prime factors of t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708, 706, 704?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -30*f**3 + 14*f**2 + 175*f + 479. What is u(-4)?\nAnswer: 1923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429\/(-165)*5\/6*270\/(-180).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 114 = -6*a. Suppose 34*p + 840 = a*p. List the prime factors of p.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:43 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 865 = -161 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.1555 rounded to 0 dps?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -1924. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 12 = 3*w. What is the hundreds digit of (30\/w)\/(3\/44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -6014?\nAnswer: 6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064458 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1771*l - 335. List the prime factors of h(13).\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*z + 5*z - 770. Suppose 5*b - 49 = 23*x - z*x, 0 = 2*b - 3*x - 30. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 72. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - b)*(-463*b**2 + 269*b**2 - 2*b + 230*b**2) in the form c*b**3 + x*b**2 + t*b + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5924, 5851, 5766, 5663, 5536, 5379?\n\"Answer: -k**3 - 66*k + 5991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50241, 50239, 50237, 50235, 50233?\nAnswer: 50231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423395872 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, k: 3, e: 1, v: 1, m: 3, u: 2}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 806079*t\/2 - 403040.\nAnswer: (t - 1)*(t + 806080)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/20)\/((-1)\/(-4)))\/(471\/(-10990))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 0, l + 109 = -4*d + 9. Let i = d + 65. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2239\/11 + -8591087\/42207. Do -1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(26 - (5 + 19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 138 = -54 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11426*u + 22848*u - 11419*u - 2488 as m*u + s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1455630 - 1455595.04004. Let z = -35.3899766 + f. Let h = z + 0.43. Round h to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/194 - 275\/21922. Let o = -208\/1017 + t. What is the nearest to -1\/4 in -0.4, o, -1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 4*q**2 + 20*q - 58. What are the prime factors of c(6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 489, 554, 729, 1068, 1625?\n\"Answer: 9*c**3 + c**2 - c + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/2)\/(-24)*1*-1*11.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85765440 and 6537.\nAnswer: 85765440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-42)*(-28)\/(-72).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4696*n - 2058*n - 1599*n - 2022*n.\nAnswer: -983*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y - 0*y. Suppose y*l - 3*l = -672. Suppose -l = -55*g + 51*g. Calculate the greatest common divisor of 28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661126593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695668 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-2)*(-2835)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 2, 3\/4, 0.37, -1\/3, 1?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 876400 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjj when three letters picked without replacement from jyjjyjyj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (9 - 22) - -110?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -34\/5, 4, -4, 4.431, 1\/6 in decreasing order.\nAnswer: 4.431, 4, 1\/6, -1\/2, -4, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 2*w)*(-2*w**3 - w**3 + 5*w**3 + (w**3 + 1 - 1)*(3 - 2 + 1)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -44. Which is the nearest to 2? (a) -0.5 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 451, 1600, 3865, 7618, 13231, 21076, 31525?\n\"Answer: 62*w**3 - 29*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12917 - 426193\/33. Find the common denominator of -25\/33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - r - 12 = 0, -5*i + r = 4*r - 76. What is the greatest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.86 + 3.16. Is r greater than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 6*s**2 - 5*s - 9. Let a(i) = -i**3 - 3*i**2 - 2*i - 4. Let n(p) = 9*a(p) - 4*k(p). Determine n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 24*o + 17. Let p(i) = -7*i + 216. Let a(h) = -13*h + 359. Let l(t) = 6*a(t) - 10*p(t). Suppose 68 = -8*z + 4*z. Calculate z*l(u) - 6*b(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34419, 34225, 34031, 33837, 33643?\nAnswer: 33449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 24. Let l(n) = 4*n**3 - 23. Let f(b) = -3*i(b) - 2*l(b). Determine f(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12234 - -4?\nAnswer: 12243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987 - -26642\/27. Is 1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126854910 by 54.\nAnswer: -2349165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71937849283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4396129 micrograms in tonnes?\nAnswer: 0.0000000000004396129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a - 5*a)*(-9*a + 0*a + a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjikvild. What is prob of sequence ikj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**4 + 2059*c**3 + c**2 + 1021927*c?\nAnswer: -120*c**2 + 12354*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 10*x + 17*x - x**3 - 9*x.\nAnswer: -x**3 - 2*x - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5601 is divided by 953?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)\/((-12)\/42). Suppose 3*f - 5*u = -7, -f - 3*u + 0 = -m. Solve -k = -3*y + f, y + 2*y = -5*k - 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(-1 + (sqrt(63) - sqrt(1008))**2) - (-4 + -3*((sqrt(7) + 1 - sqrt(7))**2 + 2)*3).\nAnswer: -4497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(190)\/sqrt(10) - (sqrt(19) - (3*sqrt(228) - sqrt(228))\/sqrt(12)).\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 45131?\nAnswer: -315917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 104 = -5*j - 444 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -4201\/5, 0.4, 0.3, 2, -0.04?\nAnswer: -4201\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*a + 56 - 118 + 62 - 5*a**2 to o + u*a**2 + v*a and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auuaaa. Give prob of sequence aua.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 786*y - y**2 - 21 - 786*y to the form p + d*y**2 + z*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x + 4. Let b(a) = a. Let l(j) = -5*b(j) + f(j). Calculate the remainder when l(-7) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 at most 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3807 is divided by 1224.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 6, g: 11, q: 2}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5596.\nAnswer: -3\/5596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 5. Let n be f(-3). Let c be 3 + 1 - n\/(-5). Suppose -3*a = 4*o - 2*a - 116, 58 = c*o - 5*a. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1109, 5326, 12365, 22232, 34933?\nAnswer: 50474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = 0, -5*z + 0*z + 17 = b. Let q be z\/(-3)*(-2 - 0). Solve 0 = -q*r + 4*l - l - 19, -5*l + 5 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-68))\/(42\/64)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -130383125160.1 - -0.03\nAnswer: -130383125160.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -1. Let u = 17 - m. Suppose -8*w + 1329 = -431. Calculate the highest common divisor of u and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3864 times 0.2?\nAnswer: -0.07728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = -4*r, -r + 15 = -2*g + 4*r. Solve -a = 5*q + 22, -g*a = -q + 10 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 - 0.76. Suppose 0 = 5*j - 5*t + 25, 0 = t + 4*t - 10. Put j, 1, s in increasing order.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 47*s - 34. Suppose 2*j - 26 = 3*h - 0*h, 5*j = 5*h + 55. List the prime factors of l(j).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7*o + 17 = 0. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w + 81. Let o be r(0). Suppose q = -q + 4. Suppose -9 = -q*b + o. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 45*n**3 - 328*n**2 + 14*n - 7. Let o(k) = -24*k**3 + 165*k**2 - 8*k + 4. Give 4*g(y) + 7*o(y).\nAnswer: 12*y**3 - 157*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(16 - -896))\/((-3)\/(-45) + 0).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cdf9 (base 16) in base 13?\nAnswer: 41aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913 and 8846223.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thththff. What is prob of sequence fhht?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (76 - 9)*(3 + -2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.4, -5, 0?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2421418\nAnswer: 2\/1210709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80480495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p**4 - 25466737*p - 735605590 with respect to p.\nAnswer: 28*p**3 - 25466737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-28))\/(231\/1540) - (-5)\/(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4*18\/336)\/((-9)\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/25 (b) -0.07 (c) 0.3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(468) - sqrt(468)) + 3 + 2)**2 + -2)*4.\nAnswer: -720*sqrt(13) + 16940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.325338 to 3 decimal places.\nAnswer: 0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400.3 + -400. Let b = -5 - 9. Let q = b + 7. What is the smallest value in 0, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*n - 7, 10392*n - 10389*n = -u + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 7*l - 73. Let y(m) = -11*m - 2. Let f(v) = 4*v + 1. Determine l*f(o) + 3*y(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from dddndfdnpfddnpd.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1361 - -0.1.\nAnswer: 2.2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2648 and 10261.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*v + 90, 7 = 2*v - 3. Suppose 11*m - 2 + p = 0. Which is the second smallest value? (a) m (b) -2\/11 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 4025*y + 2 + 4443*y - 4*y**2 to the form u + l*y**2 + v*y and give v.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -2\/531 (c) 0 (d) -1\/5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 28 - 314 = 0. Suppose -3*m - 5*a - 9 = -2, -9 = 3*m + 3*a. Let v be (-12)\/24 - j\/m. Is v less than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/11*16\/160)\/((-6)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 570*a - 15500 = 0 for a.\nAnswer: -310, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3 - 1. Let o be 8\/f + -1 - -1. Suppose 2*w + 0 = o. Solve 0*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34515.9 * -1.\nAnswer: 34515.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/181523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68611338 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 + 33*m**2 + 19*m**2 - 6097*m + 35*m**2.\nAnswer: 64*m**2 - 6097*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, -143, 2\/135 in ascending order.\nAnswer: -143, -1, -1\/3, 2\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -23. What is the second derivative of 19*a - a + 0*a + 11*a**2 + i*a wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2609640 divided by -792?\nAnswer: 3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 339*w + 10851. Calculate the remainder when h(-31) is divided by 141.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 17. Let t(s) = 9*s**2 - 5*s + 7390. Let z(d) = 3*f(d) - t(d). What is the derivative of z(y) wrt y?\nAnswer: -12*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1733162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5246238*f**2. Let l(u) = -10*u. What is q(l(p))?\nAnswer: -524623800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by 3.\nAnswer: -187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.21 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 708\/629 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-33))\/(1406\/(-304) - 3\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33 - 32\/(-308). Which is the second smallest value? (a) k (b) -4\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x - 38*x**2 + 74*x**2 + 200*x**2 - 36 - 29*x**2 - 46*x.\nAnswer: 207*x**2 + 2*x - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, m: 1, p: 1, n: 2, x: 1, u: 2}. Give prob of sequence muup.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145952 and 52.\nAnswer: -7589504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -382*u - 256. What is the tens digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.8 - 19. Let m = 0.4 - n. Which is the third biggest value? (a) 1 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 146, 130, 98, 44, -38, -154, -310?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a0c (base 15) to base 5.\nAnswer: 13134022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 210*z + 28. Give f(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13907, -27816, -41719, -55616?\n\"Answer: 3*i**2 - 13918*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-16 - (-9 + 1)) + -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 3*f**2 + 4*f**5 + 3*f**2 + 2*f**5 - 3*f**2 + (0*f**3 + 0*f**3 + 2*f**3)*(-f**2 + f**2 - 2*f**2) - 5*f**5 + 2*f**4 - 2*f**4.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 3192.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-106)\/(-636) + (-6766)\/8*(-10)\/15. Let u be -4 + 4 - (-6 + 0). Suppose 0 = -u*n + v + 240. What are the prime factors of n?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/60 + 5*q**4\/12 + 2*q**3 - 29*q**2. What is n(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*o**5 - 5*o + 19 wrt o.\nAnswer: 2960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*b - 18, 3*d - 5*d - 5*b = 81. Let q = d - -34. Let j(t) = -t**2 + 11*t + 3. Let g be j(11). Solve g*f = -2 - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2 - 4. Let d be (-12)\/(-2)*-1*n. Let b = d - -3. Calculate the greatest common factor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22121431 (base 5) to base 9.\nAnswer: -322472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**3 + 421*w**2 + 1086.\nAnswer: 3*w**2 + 842*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*c**3 - 167*c**3 - 111*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 2) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 179*i**2. Let d(b) be the first derivative of b**6\/360 + b**3\/3 - 112*b - 112. Let s(t) be the third derivative of d(t). Give s(q(o)).\nAnswer: 32041*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4 + 68*g**3 + 106*g**2 - 728*g - 768 = 0.\nAnswer: -32, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4424 and -97\/88480?\nAnswer: 88480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3185312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 6*b**2 + 10*b**2 + 8 - 6*b**2 + 20.\nAnswer: 15*b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 25492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19907581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12943 and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 35. Suppose n*s = -3*s + 72. Calculate the remainder when s is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130653 divided by -43551.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-18) - (-3)\/(90\/(-175)). Let f(o) = -o**3 - o**2 - 6*o + 3. List the prime factors of f(a).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.2 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 - 9. Which is the nearest to o? (a) 2 (b) 4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021392579 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -31.6572.\nAnswer: -32.1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3\/5, -644, 783, -1\/5 in descending order.\nAnswer: 783, 3\/5, 0, -1\/5, -4, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + n + 41 = -2*n + 5*n, -6*z + 2*z + 2*n - 34 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 + 4*a**3 + (619 - 84 + 474)*(-a**3 + a**3 - 2*a**3) + 3*a**2 - 3*a**2 - 3*a**3.\nAnswer: -2018*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:00 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 13. Suppose 3*f = 5*x - 60, -23 = 4*f + 5*x + 22. Let w be 14\/3*f\/(-10). Give q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15912 + 31670. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 + 420. Solve 2*m - w = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12818, 26172, 39526, 52880?\nAnswer: 66234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-198)\/10 + 1)*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 + -114. Let a = o + -86. Suppose 8 - a = -5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-1*24792\/(-33056).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/7, 3, 6, 0.08?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 4*d**6\/15 + d**5\/60 - d**2. Let a = -437166 - -437181. Calculate the least common multiple of a and t(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25137, -50258, -75379?\n\"Answer: -25121*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 2. Suppose -2*q + r = -30. What is the highest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**6*p)\/p)**(-2\/23)*(p*p**(-5\/4))\/(p**19\/p) assuming p is positive.\nAnswer: p**(-1735\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -497 + 875. Calculate the greatest common factor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + -4 + -2*(sqrt(8))**2.\nAnswer: -24 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24063.21 rounded to the nearest one hundred?\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1177*s**2 - 281*s + 1 wrt s?\nAnswer: -2354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 41. Suppose 0 = -k*x + 11*x - 58. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 4*o, k = 6*o - o - 14. Let l(d) = -4 + 6 - 2*d + d**3 + 2 - 5*d**2. What is the remainder when l(k) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 74*n - 3. Suppose -5 = -3*g + 1. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 3*j = -273, 0 = 4*s - 5*j + j + 152 - 268 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 3*g**2 + 0*g**2)*((1 - 6 + 2)*(1 - 4 + 4)*(-2 + 1 + 3) + 0 - 1 + 2) as w + l*g**2 + o*g and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -741?\nAnswer: -31\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4 - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*c**2 + 1421551 - 1421551.\nAnswer: -366*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266635173 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {u: 4, q: 9, l: 1, r: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/12 + 4*u**3\/3 + 12*u**2. Let b be d(-5). What is the third biggest value in -0.2, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a*a*a)\/(a*a**(2\/109)\/a))\/(a**3*(a\/(a*a**(-21)))\/a) assuming a is positive.\nAnswer: a**(-2291\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 1 + 1 + (-4*g - 2*g + 3*g)*(-1 + 0 + 0)*(3*g**3 + 5*g - 5*g).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/15 - 478*h**2. Let r(z) be the first derivative of 2*z**3\/3 - 2. Give m(r(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 120*h**2 + 865*h - 1299. Give s(-127).\nAnswer: 1749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(1573) + (sqrt(1573) - ((sqrt(1573) + 1)**2 + 3)))*1 - (5 + (sqrt(1573) - (-1 + sqrt(1573) - sqrt(1573))**2*2) + sqrt(1573) + 0).\nAnswer: -1577 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/(-7) + 10\/35. What is the lowest common multiple of (8\/10 - 1)\/(842\/(-63150)) and (-2 + 53)*(z - -4)?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61746901 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*c + 2*v, 33*c - 20*c + 25 = 8*c + 5*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 - 86*l\/7 - 1845\/7.\nAnswer: -(l + 41)*(l + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 269042933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3*w - 4. Let g be o(-6). Which is the biggest value? (a) 5 (b) g (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.357 - 2006.8?\nAnswer: -2006.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/6)\/((-1)\/(-3)). Suppose 3*b - w = 12. Determine i so that 0*i**5 - 4*i**3 - 3*i**4 + 4*i**4 + 4*i**b - 4*i**2 + 3*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - u - 5*u - 2*u + 2*u + 2*u + (-2*u + 4*u + 2*u)*(1 - 4 - 1) - 8 + u + 7 + 3 to v*u + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335 - 6601 - 8901 + 1035 - r - r)*(-r + 5*r - 3*r).\nAnswer: -2*r**2 - 14802*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, j: 5}. Give prob of picking 1 l and 1 j.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -0.1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1042 or 1041?\nAnswer: 1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 591, -3, -2\/7, 3\/2 in descending order.\nAnswer: 591, 14, 3\/2, -2\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(l**2 + 1 - 1)*(2*l + 0*l - 4*l)*(-10 + 2 + 6).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2250733 and 33821?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 43*z + 152. Determine h(-42).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3170 - 3167. Let v(k) be the first derivative of -55\/4*k**4 - 20*k**y + 0*k - 10*k**2 - 3*k**5 - 20. Suppose v(m) = 0. What is m?\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85089079, -170178155, -255267231?\nAnswer: -340356307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 28*h**2 + 6*h. What is the tens digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 254\/9. What is the smallest value in -5, b, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.413306 rounded to two dps?\nAnswer: 48.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11974 = -259*g - 4981 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 233643024 and 7161472.\nAnswer: 1869144192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145450 is divided by 162?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 5:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a. Suppose -5*c + 11 - 1 = a. Suppose 3*g - 708 = -c*b + 5*b, 5*g = b + 1184. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2264665 - 2264675.208822. Let a = 47.208494 + k. Let s = a + -37. Round s to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*-2)\/((-24)\/(-18))*(12212\/(-213))\/86?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250201*o**2 + 500446*o**2 - 250208*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - -1.9. Let y = 5\/23 + -91\/207. Suppose -2*w - w = -4*f + 15, 25 = -5*w + 4*f. Which is the closest to 1? (a) y (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.4. Let p = 83 + -85. Let z be 124\/(-30) - (-7 + (1 - p)). Sort z, 2\/11, b.\nAnswer: z, b, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85379 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 42548?\nAnswer: 297836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 31. Let j = x - 16. Let z = j - -34. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1404 * -11.\nAnswer: -15444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000011101101110111 (base 2) to base 15.\nAnswer: 3c3d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/175)\/(133\/(-1862)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 10*c**2 - 6 + 536410*c**3 - 536425*c**3)*(-3*c**2 - c**2 + 2*c**2).\nAnswer: 30*c**5 + 16*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r. Let k(q) be the second derivative of q**3\/6 - 12*q**2 - 96*q. What is t(k(i))?\nAnswer: 3*i - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10.6, -2\/17, -0.1, 5, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let s be (-4)\/18 + x\/9. Suppose -3*h + 4*h - 4 = s. Sort -1, h, -3 in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(((-100)\/(-15))\/10).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451795762, 903591528, 1355387294, 1807183060, 2258978826?\nAnswer: 2710774592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7546 + 7576 = -10*w. Which is the fourth biggest value? (a) 1\/9 (b) -1 (c) w (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2. Let n(k) = 4*k. Determine g(n(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/11)\/z**4*(z*z**1)**32 assuming z is positive.\nAnswer: z**(658\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.7 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 55. Let m(t) = t - 165. Let c(s) = -11*i(s) - 4*m(s). Find the first derivative of c(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from {r: 2, s: 1, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2. Let i = 4 + 14. Let o = i + -24. What is m(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -384 + 918. Suppose -4*k + 684 = -8*w + 12*w, 4*w + c = 3*k. What are the prime factors of k?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 15 - 60*w**2 - 18*w**2 as z*w + d*w**2 + j and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p - 36. What is v(-6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10682 + -1?\nAnswer: -10683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*x + 87136 + 34466 = 833*x for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Suppose -k + 129 = -4*d, 5*d + 527 = o*k - 2*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17073 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 312*v**4 - 484*v**3 + 180*v**2 - 8*v = 0. Calculate v.\nAnswer: 0, 2\/39, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173534647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -380 + 385. Suppose w + 2879 = 26*a - 21*a, h*a - 2881 = -w. Does 72 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5580, 5550, 5494, 5406, 5280?\n\"Answer: -i**3 - 7*i**2 - 2*i + 5590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/3 + 472*u**3\/9 + 78*u**2 - 808. Let y(g) = 0. Calculate g.\nAnswer: -117, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 14.5.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8732?\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (-4 - (-4 + -9 + 3)) - -3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0)**(-37))**27)**(-21\/2) assuming v is positive.\nAnswer: v**(20979\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + (-42)\/(-5). Suppose k + g - 5*g - 20 = 0, -3*k = 5*g + h. Suppose 0 = -4*o + 3*i, o = -k*o - 4*i. What is o rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -81. Suppose 3*i = 2*y - 2*i - s, 4*i = -2*y + 20. 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: Suppose 5*w**3 - 7940*w**2 + 102555*w - 283500 = 0. What is w?\nAnswer: 4, 9, 1575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -29*j + 19. Let a = 7 + -9. Let h be z(a). What is the greatest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6698.47 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1036003850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2240*t. Let j(b) = -31523*b**2. What is z(j(c))?\nAnswer: 70611520*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3 - 2*m**2 + 4*m + 5. Let a(r) = 5*r**2 - 7*r + 7. Let u(o) = o**2 - 7*o - 4. Let k be u(8). What is k*a(s) - 7*c(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -228 in descending order.\nAnswer: 12, -3, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 86. Let u be h(-13). Let d(f) = -86*f - 7. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -297 - -300. List the prime factors of 1211 + (2 - 1) + 15\/a.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41 and 30728586.97192.\nAnswer: 30728627.97192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -4, -359, 1\/34, -5, 5, 5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 4. Let y(a) = -6*a + 1 - a + 14*a - 6 - 2. Let z be (10\/3)\/((-6)\/(-9)). Calculate z*c(f) - 3*y(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*q*r**3 - 248*r**3 wrt q.\nAnswer: 79*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-3 - -3) - -8. Suppose 2*a + 180656 = -r - 4*r, -y*r = -3*a + 180666. Is r\/(-48) - 2\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 9*d**3 - 4*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/7, -0.05, -2.27, 7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 16*b**2 - 18*b + 21. Let r be s(15). Let x = 28 + r. Solve -2*c - w + 9 = c, x*w = -5*c + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 45002*x**2\/3 - 80036*x\/3 - 20008\/3.\nAnswer: (x - 2)*(x + 5002)*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12147 is divided by 206?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6247385 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 621 = -47*w + 1661. Suppose 5*j + 4 + 9 = x, -x + 2*j = -10. What is the highest common divisor of x and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 6*l + 33*l)*(-2*l**2 + 7*l**2 - 29*l**2)*(l - 2*l + 0*l) as d*l**4 + q*l + p*l**2 + y*l**3 + g and give d.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(((sqrt(684) - (sqrt(684) + -1))*4)**2 + 5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.047 and 4.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 30*r - 15. Let a be m(9). Determine p so that 16*p - 11*p**4 - 10*p**5 - 14*p**3 + a*p**4 - 4*p**2 - 16*p = 0.\nAnswer: -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 27*u**2 - 17*u - 309. Calculate r(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*w = 117, -4*s - 13*w + 9*w = -240. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427\/382723 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1651 - -43?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -629, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 16*a**2 + 20*a - 46. Let l be u(17). Suppose -5*z + 75 = -5*n, -z + 11 = 2*n - l*n. Are z and 19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39 + (29 + -19)*6\/10. What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2992886)\/(-2537796) + 4\/(-6) + 1 + (-6)\/4.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/7)\/z*z*z*z)\/z)\/z)\/z**(-36\/7)*(z**(1\/5))**(-1\/22) assuming z is positive.\nAnswer: z**(3623\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 20*i**2 + 102*i - 24. What is the units digit of o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 12*n - 533 - 191. Suppose 823 + 2552 = 3*f. Calculate the greatest common factor of f and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -2*b - 0*o, 4*b + 2*o = -12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 86, -22, 1\/3, -1, 1\/8, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -5*g**4\/24 - 7*g**3\/6 + 3*g**2. Let x be w(-9). Suppose v - 5*s + 8 = 0, 9*v + s = 4*v + x. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1033114494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335140740 divided by 5346.\nAnswer: -62690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.3 + -51. Let o = -196\/3 + 65. Let j = 0.7 - 1. Which is the closest to r? (a) 2\/9 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:31 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 697212461.375 and 0.189?\nAnswer: 697212461.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 0*s**3 - 4*s**3 + (-s + 12*s + 15*s)*(47*s - 16*s**2 - 47*s) - 8*s**3 - 4*s**3 - 9*s**3 as o + i*s**2 + w*s**3 + u*s and give w.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 4*r = -p*x + 10, -r + 2*x - 6 = -3*r. Put r, -4, -2 in increasing order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1033 - -806. What are the prime factors of i?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 18168*b - 27506352 = 0.\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -37, -58, -87?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:15 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -45*i**2 - 2*i - 2. Let q(y) be the third derivative of 3*y**5 + 3*y**4\/8 + 3*y**3\/2 - y**2 - 14*y + 11. Give 9*k(c) + 2*q(c).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, 0.3, 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 159*q + 1427. Calculate o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2. Let o = -25 + 26. Suppose 0 = 2*x - 6*x + c + 3, -c + 7 = x. Let p(a) = -1 + o + 6*a - x*a. Calculate p(d(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-182)\/13)\/(-952)) - (25 - 49)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, j: 1, q: 10}. What is prob of sequence hhhj?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7135 + 1463. What are the prime factors of a?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3306)\/304*(-90)\/435?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 + 9*n + 3. Let w(t) = t + 1. Calculate l(m) - 5*w(m).\nAnswer: 4*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 23. Let r be ((1 + -8)\/(-1))\/l. Let b = 0 + r. Let f(x) = 2*x + 6. Determine f(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f - f)*(253 - 102 + 4*f - 116).\nAnswer: -8*f**2 - 70*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11163269041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 193771676.\nAnswer: 193771668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 2)*(3*t - t + 4*t)*(5*t**2 - 5*t**2 + t**2) to the form y + u*t**3 + k*t**2 + b*t and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 17*g + 5. Let i = 26 + -26.3. Which is the third biggest value? (a) 5 (b) g (c) i (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -26. Let r = f + -43. Suppose r*k = 178 - 48. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 - 228*q**2 - 4*q - 174801 wrt q?\nAnswer: 6*q**2 - 456*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -147*z**2 - 5*z - 4. Let x be r(6). Let h = x + 7726. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/136891 and 69\/8.\nAnswer: 1095128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4\/5, 8, 1546, -1011, 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2 - 18*m + 24 = 0. Calculate m.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 98\/47839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2342 - -6355. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 23\/3 (b) 8.4 (c) 0.1 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -75. Suppose v + v - m = 0. Suppose 5*y - 20 = v*z, -5*z = -0*z - 5*y + 30. Sort 5, z, -6 in ascending order.\nAnswer: -6, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -p + 17676, -5*u - 40773 = -4*p + 29927. Suppose -p = -50*a + 40*a. List the prime factors of a.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(2\/(-9)))\/1. Suppose l + 4*l + n = p, -4*p + 13 = 3*l. Let i(r) = 2*r**2 - 5*r - 5. Let g(d) = -d - 1. Determine l*i(t) + 6*g(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1767 = d + 2*z - 2585, -3*z - 13047 = -3*d. What are the prime factors of d?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 797*a**3 + 211671*a**2 + 18733275*a.\nAnswer: a*(a + 261)**2*(a + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q + 50*q = 1661622 + 1640798. List the prime factors of q.\nAnswer: 2, 17, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(168 - 162)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:32 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*((2*sqrt(567) - sqrt(567)) + 1) + (sqrt(567) + 1 + -3 - 6*(sqrt(567) + -2 + sqrt(567))) + -5)**2.\nAnswer: -1980*sqrt(7) + 28592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30625 + 23893 = -1780*c + 6458 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139929 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 4*q**3 + 87*q - 41\/6*q**4 + 0 + 0*q**2. Find the second derivative of a(l) wrt l.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 190051616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -5\/24*k**4 + 0 + 0*k**3 + 0*k + k**2. Let j(v) = -3*v. Determine j(g(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 2. Let g(w) = w**2 + 4*w + 147. Let d(r) = -g(r) - 4*h(r). Let v(m) be the first derivative of d(m). Let n(j) = j + 23. Calculate v(n(p)).\nAnswer: -2*p - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -42.9. Is a >= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*u = 21, -3*x + 1 = -6*x + 2*u. Solve -5*f = 2*p - 13 - 2, 0 = x*f - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let h(j) = 5*j. What is s(h(o))?\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6212 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 62546435?\nAnswer: -62546426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.15808 rounded to 2 dps?\nAnswer: -12.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 3 = 2*w. Let o = w - -15. Find the third derivative of 4*f**o + 8*f**4 + 62*f**3 - 62*f**3 wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 80481 = 6*p + 18142. What are the prime factors of p?\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/5, -25, 0.7 in descending order.\nAnswer: 1, 0.7, 3\/5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46971121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvv when three letters picked without replacement from {g: 3, v: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y. Calculate m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o**2 - 45*o**2 + 31*o**2 + 2*o)*(-3 + 1 + 1)*(0 + 1 - 3).\nAnswer: 44*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u + 7. Let v(f) = 559*f + 169. Let a(i) = -36*i - 11. Let r(m) = -78*a(m) - 5*v(m). Determine -6*r(y) + 11*t(y).\nAnswer: -12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13178839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.67*-0.4.\nAnswer: -0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22102 or 13862?\nAnswer: 22102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from xxxxxqxxxxqx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245146 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01986 - -69.42986. Let k = g + -70. Let f = -4.41 + k. Is -0.01 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -16*p + 8. Determine i(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 30 = -0*c - 4*c + 3*q, -15 = 5*q for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaylowwwywywcwlllyw. Give prob of picking 1 w, 1 o, and 1 l.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 906468 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 2*v**3 - 2*v**3 + (-2*v + 2*v - 2*v**4)*(-2 + 2*v + 2) - v**5 + 3 - 3 - v**5 + 0*v + 0*v + (-2*v**5 + 3*v**3 - 3*v**3)*(-5 + 21 - 63).\nAnswer: 86*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 4, m: 7, g: 5}. Give prob of sequence wwm.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.034, 4, 2\/4719, 0.3, 2\/9, 1 in increasing order.\nAnswer: -0.034, 2\/4719, 2\/9, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1439\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-492)\/287*7\/(-22). Let s be 12\/(-4) - (-62)\/22. Let t = 67 - 68. What is the smallest value in t, s, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1130 - -1139. Solve 4*g = 3*d - 2*d, -a = 5*g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136938 (base 10) in base 6?\nAnswer: -2533550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 = -80*j - 523 - 988 - 1804 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6190048 * 0.1\nAnswer: -619004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2095615, 4191033, 6286451, 8381869, 10477287?\n\"Answer: 2095418*l + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 16. Let x be r(11). Suppose 3*k - 9 = x. Let y = 2 + 6. What is the smallest common multiple of k and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325 - 2?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 17. Let c be t(7). Suppose 5*x = -j + 15, -x - 3*j - 3 = 2*x. Suppose 0 = -x*u + 1 + 11. Solve -c = u*p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbbbbbxxbbbbbbxbbx. Give prob of picking 2 x.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2188965 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.63171 - -44.61. Round i to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 7*c - 6. Let q(a) = -a**3 - 21*a**2 + 22*a + 10. Let v be q(-22). Suppose 5*k + v = -30. Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14847442 to the power of 1\/2, to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808310?\nAnswer: 2, 5, 80831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23780002 - ((-3 + -3)\/2 + 5). Round q to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4506.4656 days?\nAnswer: 643.7808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*g + 6 - 8 - 8*g)*((-3*g + 0*g + 2*g)*(-3*g + g + 3*g) - g**2 + 3*g**2 + 0*g**2).\nAnswer: 18*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*r = -56, -m + r + 3*r + 2 = 0. Solve 5 + m = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -5232, -1, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, -1, -2, -5232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:51 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3104*m**3*q + 1578*m**3 wrt q?\nAnswer: -3104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.037 + 0. Let d = h - 0.137. Let g = -0.4 + 0.2. Which is the second biggest value? (a) d (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46677465 and 8280.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, x: 2, d: 2, n: 1}. Give prob of picking 2 d and 1 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0322156861 and -3.\nAnswer: -3.0322156861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*16\/3240)\/((20\/6)\/(-5))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 23\/3, 1\/5, -2, -1.3, 0.8, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92901 is divided by 7741.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/80 - 49*y**4\/48 + 575*y**3\/24 + 625*y**2\/8 - 89*y + 2. Suppose n(h) = 0. Calculate h.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*s = 1451, 3*s - 19 - 5 = 0. Calculate the highest common divisor of b and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217152 = 41*s - 724400 - 730255. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11. Let h = n - -11. Suppose -45 = -2*a - a. Calculate the remainder when a is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.09301 years to decades.\nAnswer: 3.009301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 365411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16265.55 centuries?\nAnswer: 162655.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42450 and 29424?\nAnswer: 208174800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*48\/(-30) - -117.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 2 (b) -2\/3 (c) 0.3 (d) -5.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 25*u**2 - 38*u - 184. Let d be v(-26). Calculate the highest common divisor of d and 8128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 2565.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -325, -1 in decreasing order.\nAnswer: 5, -1, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14854278.\nAnswer: 2, 3, 89, 27817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - 3*h - 3. Let s be d(-2). Let u = 7 - s. Suppose 0*m - u = -4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juquqqjhuujtqtjtpj. Give prob of picking 1 j and 1 t.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*c - 4, c + 4*j - 3 = j. Suppose c*u - 8 = f + 3*u, 4*f + 3*u = -5. Solve -29 = -4*n - 5*m - f, 0 = -3*n + 3*m - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824319 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3668 and 1736?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4 - 1, -5*g - 121 = -3*c. Suppose 5*a - 48 = c. Calculate the remainder when 50 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/6 + 5*t**2 + 17*t + 17. Let x(m) be the first derivative of n(m). Calculate x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**4 - 1 - 3185*r - 2*r**4 + 2*r**3 - 2*r**4 + 3193*r as k*r**3 + n*r**2 + m*r**4 + d + v*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19279.\nAnswer: 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 824466 a multiple of 2329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-21*(-12)\/12096.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*m**3 + 1956*m + 3*m**2 + 4 - 980*m - 1 - 975*m to the form c*m + t + d*m**2 + k*m**3 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1532*d = 1411*d + 9075. Factor -25\/2*t**3 - 135\/2*t**2 - d*t - 20.\nAnswer: -5*(t + 1)*(t + 4)*(5*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*x - 63*x - 146*x)*(5922*x - 5922*x + 18*x**2) to p*x + r*x**2 + c*x**3 + j and give c.\nAnswer: -3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 221479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97939273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 10)*(5 - 3). Let z be q\/(-9)*2\/2. Let t(k) = -3*k - 2. What is t(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.092.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -102167681241+-2119\nAnswer: -102167683360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**6\/6 - o**5\/10 - o**4\/6 - 2*o**3\/3 + 2*o - 6. What is the third derivative of n(j) wrt j?\nAnswer: -120*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722*v - 5709*v + 7434*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = 43. Let p(y) = -y**3 - 8*y**2 + 4*y + 12. Is p(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -185047b - -43?\nAnswer: -1850438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j - 3. Let u(b) = 4*b - 4*b**3 + 5 - 5. Let a(w) = -w**3 + w. Let o(n) = j*u(n) + 6*a(n). Find the second derivative of o(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -57 + 9*h + 29 + 33. Let s(o) = -4*o - 2. Suppose -5*v + 4 = -7*v. Calculate v*a(k) - 5*s(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 330741 (base 10) in base 2?\nAnswer: 1010000101111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - -0.8. Let c = -25 + 29. What is the second smallest value in c, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from pppppzppzpp?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23547\/11 + 2143. What is the common denominator of a and 101\/100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 - (24 - (185 - 27)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365*b**2 + 595*b**2 + 597*b**2 + 587*b**2 + 597*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f)\/f*f*f*f**(-3)*f*f*f)**(-21) assuming f is positive.\nAnswer: f**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2216939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.053 (b) -1 (c) 1 (d) -1\/6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 53, 11, 43 in ascending order.\nAnswer: 1, 5, 11, 43, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 21021857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -7 (c) -1\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4357 - 4421 = -9*h - 2*h. Calculate the lowest common multiple of h and 21.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1510875 and -77\/1275?\nAnswer: 1510875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/(-78)*(-2)\/(-90)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 8. Let o be (1\/(-2))\/(h\/(-10)). Solve 3*z - 5*z = -3*w - 1, 3*z + o*w = -27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15115 - 183*d**2 + 15115 + (-4*d + 2*d + 0*d)*(-2*d + 3*d - 3*d) in the form k + s*d**2 + y*d and give s.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:10 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -130*w - 108. What is the hundreds digit of q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458962605 a multiple of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 5*t**3\/3 - t**2 - 2*t + 1. Let c be 0\/(3\/(-3)) + 6 + -10. Does 16 divide d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 5\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = -20. Let k be (4\/3)\/(y\/(-6)). Let t = k - 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2693, -10783, -24267, -43145, -67417, -97083, -132143?\n\"Answer: -2697*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2*h**3 - h**3 + h**3).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4828 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, j: 2}. What is prob of picking 4 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001011?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-18) + (-2)\/6. Suppose v*f + 4*g + 73 = 0, 2*g - 14 = 4*f + 34. Let r be 3\/(-5) + f\/(-5). What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s + s. Suppose 2*g + 2*r = 27 + 25, 180 = 5*g - 5*r. Calculate the remainder when g is divided by 2\/((-70)\/(-22) + s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 6)*(0 + 0 - 6)*(6 - 6 - 57*h)*(-8*h + 8*h + 5*h**3).\nAnswer: -6840*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4644.67nm to kilometers.\nAnswer: 0.00000000464467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 21, 0.2, -574?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/6*(-1 + 13 + -18). Suppose 2*u = -3*m - 19, -5*m = u - 6*u - 10. Let i = 8 - u. Is t greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 66971.33188498\nAnswer: 66971.30188498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(-2)\/(-3). Let u be (-6 - -1)\/(r\/(-11)). What is the greatest common divisor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*z + d - 4, 5*d = 0. Let l(x) = -x**3 - 2*x**2 + 5*x + 4. Let i be l(-3). Let h be (0 - i - 7)*1. Put z, h, 0 in ascending order.\nAnswer: h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhhssshhhshslhc. Give prob of picking 1 s and 1 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3779*a**2 - 18*a + 1. Let q be t(-4). Let m = q + -31016. Suppose 4*p - 2*l - 57206 = 0, 27694 = 4*p - 5*l - m. Round p to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11956737 and -4100.74.\nAnswer: -4100.85956737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26528 = -7*l + 66341. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 10. Let y(j) = 9*j - 20. Let b(l) = -7*v(l) - 4*y(l). Let m = 40 + -35. What is the units digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1754747060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 38*z**2 - z - 21. Let d(x) = 145*x. Determine d(c(g)).\nAnswer: 5510*g**2 - 145*g - 3045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 2*f + 2. Let i be u(-4). Sort -2, 2, i in decreasing order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:45 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 185*h.\nAnswer: -5*h*(h - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 + 12*m + 9. Let c = 2900 - 2893. What is s(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/19 or -1?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-313*q + 169*q - 307*q)*(0 + 0 - 2*q**2) + (5*q**2 - 3*q**2 - 4*q**2)*(-1 + 2*q + 1) to x*q + z*q**3 + u*q**2 + n and give z.\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from whwhurwwrhuru?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r + 53 - 8 = 0. Let q(l) = 39*l - 1. Calculate q(r).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(3\/4)*s**(-25)*(s*s**(-9)*s)**31 assuming s is positive.\nAnswer: s**(-967\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -324577?\nAnswer: -324600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -2\/353 (c) 5\/2 (d) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 292?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**18*(u\/(u\/((u**18*u)\/u)*u)*u)\/u assuming u is positive.\nAnswer: u**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 15. Let b = l - 1. Solve -z = 5 - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 15. Let z = -134 + 133.7. Put l, z, -2, 2 in decreasing order.\nAnswer: l, 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*k + 9. Suppose 0 = -3*i - 3*g - 6, 4*i + 3*g = -1 - 3. Suppose h = -i + 1. Sort k, h, 1.\nAnswer: h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/20 and -33\/212.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c - c + 5*c + c - 4*c + c - 2*c - c + 5*c + (0 + 4 - 5)*(1 + c - 1) + (2 + c - 2)*(1 - 11 + 0) + (-5*c + 4*c - c)*(-1 + 3 + 0) + c - 2*c + 4*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*l + 2 + 14, -2*l - 8 = -4*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21*i - 84. Let a be s(-4). What is the closest to a in 4, 3\/11, 0.5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3990 and 3\/3458.\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 400180389 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -369 + 285. Let m be (35\/4 - 2)*-4. Let i = m - b. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/33*(-54336)\/3962 - ((-34)\/(-22) - 1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, 3, -26, -58241 in increasing order.\nAnswer: -58241, -26, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35802 - -32855. Which is smaller: -2945 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - ((-4)\/(-2) - 2). Suppose -5*c + 16 = -l. Suppose -2*u + 4 = w - u, -4*u + 15 = c*w. Sort 2\/11, w, 1 in ascending order.\nAnswer: w, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j + 9 = 38*j. Let l(c) be the second derivative of 1\/48*c**4 + 1\/12*c**j + 1\/24*c**6 - 4*c + 0*c**2 - 1\/10*c**5 + 0. Factor l(g).\nAnswer: g*(g - 1)**2*(5*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - p = 4*p - 5, -3*p = -9. Suppose o*f = 0, 130 = 4*j + j + 3*f. Suppose -2*q + 3 = -11. What is the remainder when j is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 48 - 51 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/22 and (-8)\/(-40) + 46\/(-30)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -1\/4*v**2 - 7*v + 1\/40*v**5 - 1\/8*v**4 - 6 + 1\/4*v**3. Let l(m) be the first derivative of q(m). Let l(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {k: 14, l: 5}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 4*b**3 + 10*b**2 - 12*b.\nAnswer: -2*b*(b - 3)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10.84. Let n = o + -0.24. Sort 0.3, -7, n in decreasing order.\nAnswer: 0.3, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*t + 123*t + 130*t + (3 - 1 - 4)*(t - t + t)*(-2 + 3 - 2) to o + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-78)\/4 + 2)*10\/(-25). Suppose 24 = -5*o + 9. Let j be o + (-3 + 5 - -6). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 0*q + q + (-5*q + 3*q + q)*(4 + 2 + 3) in the form d*q + u and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -124. Is 30 a factor of -3*s\/(-18) + 670\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaal. What is prob of picking 1 a and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4)*17 - (0 - 3). Suppose -4*v + 2*y - 5*y + p = 0, -3*v + y = -37. Suppose v*t = 17*t - 18. What is the remainder when 23 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -35)*-1*88\/(-8). Let a = 906 + n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o. Let m(n) = n**3 + 14*n**2 - 5*n - 14. Let g(d) = -m(d) + 5*y(d). Calculate the remainder when 24 is divided by g(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c**(-2\/3)\/c)\/c*c*c*c)*c*c**(17\/4) assuming c is positive.\nAnswer: c**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:01 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000764353438 rounded to seven dps?\nAnswer: 0.0000764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/1260)\/((-5)\/(-10105)). Let z = -45\/4 - s. Is z greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1037? (a) 5 (b) -3 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 5*b**8\/12 - 61*b**5\/60 + 138*b**2. Find the third derivative of n(t) wrt t.\nAnswer: 8400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 259, 255?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9224818.\nAnswer: 2, 4612409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1045 or 1043?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/2 + 3*s**5\/5 - 15*s**4\/4 + 3*s**3 - 23. Determine d, given that q(d) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 - -2212?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2205*x - 3136*x - 71052 + 28226 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96289283?\nAnswer: 19, 5067857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-18) + 473\/(-344)*(-32)\/264.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*b + 13424 - 20648 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -321, -399, -475, -549, -621, -691, -759?\n\"Answer: i**2 - 81*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20669 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 26 = 38, -2*k + 4*g + 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0084 + 0.028. Round y to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16416 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -60.3239, 0.3, 2\/27, -4 in increasing order.\nAnswer: -60.3239, -4, 2\/27, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/5 or -25?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28830158867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 8*r**2 - 11*r + 10. Let f = -20 - -24. Suppose -5*w - 1 = -4*o, f*w + w + 31 = -o. What are the prime factors of h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*((-2250)\/(-20))\/25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, -0.4, -141?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41652375.\nAnswer: 3, 5, 31, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 110*x**2 - 356*x - 19. Give i(-113).\nAnswer: 1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -173178 divided by -1?\nAnswer: 173178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.31 - 1.41. Let d = b - 0. Is -40 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -1417 - 2779. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 1 = 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 19*o + 8. Let f be q(6). Suppose 0*y + 31 = f*y + 5*j, 0 = -5*y + 3*j. Solve -a - 22 = -y*a + 5*w, 3*a = 3*w + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273177 is divided by 254.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -89.48 (b) -3\/4 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 786*b + 6318. Calculate y(-7).\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1214*c**2*m*y**4 + 8*c**2*m*y**2 - 18*c**2*y**4 + 14*c**2*y**2 + 9*c*m - 2*m*y - 8*y**2 wrt y?\nAnswer: 29136*c**2*m*y - 432*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(7)*-5 + -5 + 5)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29045.749 - -17.\nAnswer: 29062.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39322618.\nAnswer: 2, 73, 269333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.65 - -12.05. Let n = m - 43.3. What is n rounded to zero dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/3 + 10*m**3\/3 + 92*m**2 - 296*m\/3 - 560\/3 = 0.\nAnswer: -10, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(24\/5)*g*g*g**(7\/10) assuming g is positive.\nAnswer: g**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*15*(-216)\/10. Let q = x - 84. What is the least common multiple of 12 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77794 and 8822.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 46 = -2*z, -k + 63 = 3*z - 11. Suppose 46*x + 3*a = 45*x + 50, 2*x - 65 = a. What is the least common multiple of z and x?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 13*n**4 + 38515*n**2 - 38451*n**2 + (n + 1 - 1)*(n**3 - 4*n**3 + 4*n**3).\nAnswer: 12*n**4 + 64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:38 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3160036454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-14\/9))*f*f*f**(2\/31)*(f\/((f\/f**(4\/9))\/f*f))\/f**(-3) assuming f is positive.\nAnswer: f**(219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -1*sqrt(3840) + sqrt(120)\/sqrt(2)*3)\/((sqrt(192)*-1*-5 - sqrt(192)) + sqrt(192)) + -4.\nAnswer: -4 - sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2759*b**3 - 2458 wrt b?\nAnswer: -8277*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 34*z - 2. Let x be a(1). Let s = 34 - x. Does 15 divide s\/(-8) + (-549)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 less than or equal to -15\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) -0.4 (c) 3\/2 (d) -257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1222021?\nAnswer: -1222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4 - 1)*-2. Let l = 1 + 10. Suppose 0 = 5*y - 3*g - 32, s*y + 2*g - 1 = l. Solve -4*a = -o + 4*o - 35, o + 15 = y*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1657084 divided by 11588.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**37)\/j*j**(-6\/5)*(j*j**(-3\/20))\/(j*(j\/(j*j\/j**(-3\/5)))\/j*j))**(-1\/56) assuming j is positive.\nAnswer: j**(21\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:24 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 540176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/27)\/(8\/2160*9)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238628648, 477257294, 715885938, 954514580, 1193143220, 1431771858, 1670400494?\nAnswer: 1909029128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 + -2 - -6) + 4)*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858758 = 113*l + 6926*l for l.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 4, y: 9, d: 4}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*h**3 + 8*h**4 - 4*h + 2*h + 259 + 138 + 2*h wrt h?\nAnswer: 32*h**3 - 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 4*i + 0*i + 6 + 15*i - 3.\nAnswer: 23*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/103 - -83\/412. Suppose 3*q - 3 = 2*q. Let g = 0.05 - 3.05. Which is the closest to p? (a) g (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000649413738 to 6 decimal places.\nAnswer: 0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 635376*d - 3176980.\nAnswer: 4*(d - 158849)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u**3 + 4*u**2 + 4*u - 56. Let r(q) = -12*q**3 - 5*q**2 - 5*q + 57. Let p(c) = -5*k(c) - 4*r(c). Differentiate p(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -103.\nAnswer: 18\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1795 divided by 359\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14845226 and 0.056?\nAnswer: -0.00831332656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/54723 and -9\/188071.\nAnswer: 16362177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.58901 plus -2010.21?\nAnswer: -1752.62099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 110235 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 33*m**8\/14 + 9707*m**4\/24 - 16*m**2 + 192*m. Find the second derivative of n(x) wrt x.\nAnswer: 15840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122084 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) + -1 + sqrt(128) - sqrt(128)))**2*6.\nAnswer: -192*sqrt(2) + 3078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + a + 10080. Let v be (-1)\/5 - 281\/(-5). What is the highest common factor of v and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-781*z + 598 - 598)*(-4 + 4 + 2).\nAnswer: -1562*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1053))*1)**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 2*f - 6. Let g(p) = 5*p**2 + p - 3. Let u(a) = 11*g(a) - 6*s(a). Calculate u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14146 = 2*c, 0 = -3*c + 15 + 6. What is the greatest common factor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 2. Let v be o(0). Let c(y) = -6 - 28*y - 5*y**v + 17*y + 4*y**2. List the prime factors of c(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33486521209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 5*k**2 + 2*k. Suppose 2*m + 16 + 0 = q, -10 = 2*m. Calculate the smallest common multiple of t(5) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 1. What is the smallest common multiple of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 92*p**2 - 243*p + 3922. Determine q(-95).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -5799, 251.\nAnswer: -5799, -4, -0.5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -12, 3, 0.031, 7\/13, -2 in decreasing order.\nAnswer: 3, 7\/13, 0.4, 0.031, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.59? (a) 5 (b) 1\/11 (c) 22\/9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 + 61*y**2\/8 - 1015*y\/8 + 2523\/8.\nAnswer: -(y - 29)**2*(y - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from vvtinknoovoi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1371 and 11\/8719.\nAnswer: 11953749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.229698 + -1.23. What is a rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/((s\/(s*s*s**(-2\/35)))\/s))*(s*s**(5\/4))\/s*(s**(-9))**(14\/5) assuming s is positive.\nAnswer: s**(-697\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19406357039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20 (b) -3\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 544791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -5*u, -10 = 3*k - 0*k - 5*u. Suppose 2*r + 236 - 16 = k. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1769022 and 138?\nAnswer: 1769022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Suppose 2*o - 6 + 26 = 0. Let j be (o + 9)\/(p\/4). Solve j*u - u + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:29 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1595 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.921 - 0.079. Let w = -51 - p. Which is the closest to w? (a) 38 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5985 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y = 6. What is the units digit of (y\/6)\/(5\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*p = -29*p + 428874 - 1453524. List the prime factors of p.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2825*d - 8. Is g(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(426*h + 2 - 1289*h - 123*h) + (-3*h + 2*h + 2*h)*(2 - 1 + 1) in the form v*h + c and give v.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, d: 5, r: 1, o: 2}. Give prob of picking 3 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -42?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(475))**2 - (sqrt(475) - (-2 + sqrt(475) + ((sqrt(475) + sqrt(475) + 0)**2 - sqrt(475))))) + -3.\nAnswer: -5*sqrt(19) + 2369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40340 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 + 10 - (1 + 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 271\/215517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**15\/m*m\/m**(-4\/7))\/(m**5*m*(m\/(m**(-15)*m))\/m))**24 assuming m is positive.\nAnswer: m**(-744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206730\/(-75)*175\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*g + 9, -3*g - 3 = -3*a - 0. Suppose -254 = -5*y + 4*c, a*y + 4*c - 145 = -c. What is the remainder when y is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679546 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6444, 6348, 6252, 6156, 6060?\n\"Answer: -96*a + 6540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -0.22, 9.5, -1\/10?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 60, 126, 222, 354?\n\"Answer: g**3 + 6*g**2 + 17*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300) + sqrt(1300) + 5 + -4 + sqrt(1300) + sqrt(1300) + 3 + -2 + (sqrt(1300) - (-1 + (sqrt(1300) - (sqrt(1300) + 5)))))**2.\nAnswer: 960*sqrt(13) + 46864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -143*g + 53. Give h(-4).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 152*y\/5 + 2888\/5.\nAnswer: 2*(y - 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {m: 2, c: 1, y: 3, p: 5, x: 1, f: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 - 2*b**3 - b**2 + 1 + 7*b**3 - b. Let f = -4 - -5. Calculate p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 36*a**2 + 37*a - 11. Determine v(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 divided by 5?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 37*h**2 + h + 2. Let g be 22\/(-10) + (-15)\/(-75). What is the remainder when c(-2) is divided by 1 - g - (73 - 100)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2679*h**3 - 117*h**2 + 174*h**2 - 57*h**2.\nAnswer: 2679*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15) + (-112)\/(-40) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*v - 450*v + 1286*v + 47712 for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265910078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -33. Find the second derivative of 1 + v*f**2 + 42*f**2 - 28*f**2 - 13*f wrt f.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 + 2*x - 2. Let f be w(2). Let n(l) = -l**2 - 12*l - 9. Let a be n(f). What is the highest common divisor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-20)*420\/(-175)*(-9)\/(-27).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49.18 and -5?\nAnswer: 54.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78887 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(1*sqrt(3)) + sqrt(39))*-2)\/(sqrt(3) + 1*sqrt(3)*-4 + (sqrt(147) - sqrt(147)*2) + sqrt(147)) + 3.\nAnswer: 3 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 3. Determine v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2959834 to two dps.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.0896 (b) 2 (c) 0.407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by 20\nAnswer: 231\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929394?\nAnswer: 2, 3, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 4*j. Let t(a) = 564*a**2 - 112*a. Determine -56*l(h) - 2*t(h).\nAnswer: -1184*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -27*y**2 - 14369*y - 14361. What is o(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*m + 17848622 = 17836539 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -59)*((-15)\/7 - (-1 + -1)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 31 + 154. Let i = 46 + f. Suppose -8*a = -i*a + 9. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = o + 6, 10 = 4*r + o + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6139024 divided by -3069512?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 0*h - 18 + 11)*(-4*h - h**2 - h**3 + 4*h).\nAnswer: -6*h**4 + h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.11, -0.3, 10, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 23 - 11 - 598*r)*(-1 + 3 - 3 + (-1 - 1 + 0)*(-3 - 2 + 3)) as c + h*r and give h.\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836413799?\nAnswer: 13, 163, 394721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 5*s - 2. Suppose -5*f - 16 = -f. Let i be z(f). Suppose -4*w - 2 = -i. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5270914, 10541811, 15812670, 21083473, 26354202, 31624839, 36895366, 42165765?\n\"Answer: -3*c**3 - c**2 + 5270921*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*t**5 - 3219*t**4 + 93678*t**2?\nAnswer: 1560*t**2 - 77256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 2*u**3 - 2*u**3)*(-4*u**2 + 2*u**2 + 4*u**2) + (4*u - 8*u + 5*u)*(u**4 + 67*u**2 - 67*u**2).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18672 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1830 and 14840?\nAnswer: 2715720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-2)\/(-20)). Suppose 0 = -g - 5*c + o, 3*c - 4 = -1. Solve g = -6*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**13*z*z*z\/z**(-2\/61)*z*z*z assuming z is positive.\nAnswer: z**(1283\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 - 3*m - 9. Let s(g) = -5*g**2 - 2*g - 8. Let i(q) = 6*b(q) - 5*s(q). Calculate i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*m - m + 32, -5*m = 3*s - 95. Let a(o) = 2*o + 76. What is the remainder when a(m) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 5*f)*(-f - 3*f - 2*f) to the form a*f + q + y*f**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 + c + 1. Let h be r(-3). Let u = h - 313\/6. Sort u, 2\/3, -2\/5 in increasing order.\nAnswer: -2\/5, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16373688.\nAnswer: 2, 3, 682237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - b**2 + 0*b**2 + (b**2 - 2*b**2 + 0*b**2)*(1 - 1 - 2) + 19 + 4*b**2 - 19 as j*b + g + z*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -27, -32, -39?\n\"Answer: -g**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932 and 4416?\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 1. Let w(n) = n**2 - 2*n - 4. Let x be w(-2). Suppose 2*u = -4*d - 3 + 9, 5*u = x*d - 55. What is the units digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7 = -24 + 9, 35*f + 2*a = 36*f + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/12 - p**3\/2 - 13*p**2 + 2*p. Let u = -763 + 771. What is the units digit of j(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**3 - 16*q**2 + 28*q + 244. Give h(-8).\nAnswer: -4076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -15. Suppose r + 2*r - x = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:49 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 26*i - 6. Let s be b(1). Suppose 4*y - s = 8. Differentiate -5*g + 0*g - 20 - y - 19*g with respect to g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -0.047 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 9\/4 (c) -1 (d) -260 (e) 0.3 (f) 117 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32\/7? (a) -2 (b) 3\/2 (c) -0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 1. Let q(j) = -2*j + 1. Let g(a) = -4*a + 3. Let c be g(2). Let v = -1 - c. Let b(r) = v*n(r) + 3*q(r). Differentiate b(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1340 = 1495. Solve -7*b + 4*b = 5*m + k, -m - 5*b - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*i - 14, 0 = -4*d - 3*i + i + 16. What is the least common multiple of d and 9722?\nAnswer: 29166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1326 + 1295. Is a equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-3)\/(6\/(-38)). Let y(m) = m**3 - 21*m**2 + 18*m + 52. What are the prime factors of y(u)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -524, -1258, -2306?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(75\/18)*(-448 + 3). Calculate the highest common factor of k and 1246.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -43. Let q be (d\/(-4))\/((-9)\/6). Let b be q\/15*2 + 26\/10. Solve -k - 1 = -b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 1\/4*t**4 + t**2 - 1\/20*t**5 - 10*t - 1\/3*t**3. Let v be a(2). Are 3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q. Let p be h(4). Factor 7*w**4 - 10 + 4*w**2 + 10 + p*w**3.\nAnswer: w**2*(w + 2)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 4 = -7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.29. Let u = -0.5 + a. Let w = u - -0.3. Sort w, 1, -1.\nAnswer: -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 6662054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14236, 14235, 14234, 14233, 14232, 14231?\n\"Answer: -q + 14237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1832.43212 - 0.06788. Round f to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -25 + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-39) + 1 + (-252)\/(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-1 - -12 - (-14 - -20)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {b: 2, s: 1, h: 2, k: 1, p: 5, t: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 36*t**2 + 4*t + 5. Let z(u) = -54*u**2 - 6*u - 8. Give 8*q(h) + 5*z(h).\nAnswer: 18*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-30))\/((-8)\/(-5)))\/(6\/552)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*j**3 + 4197*j wrt j.\nAnswer: 1212*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2 - (78 - 92)) + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291470039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1470 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.896 + -0.104. Which is the closest to -1? (a) 2\/9 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46212 - 46212 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/11 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567 is divided by 75?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 5*f - 14, f + 1 = 0. Suppose i*b - 4*b - 290 = 0. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22 - -2)\/((-2)\/(-4)). Let s = -36 - z. Suppose s*m - 29 = -1. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4937?\nAnswer: 5\/4937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/(-12))\/(836\/(-3363)) and 107\/260.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -28, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.15 + 1.5231627.\nAnswer: -3.6268373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57809588 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 12*n + 2. Let f be i(-12). Suppose -f*s = 0, 2*w - 4*s + 720 = 7*w. What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 155.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 25. Let d be x(14). Solve d = 5*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + f + 5 - 2 = 0, 1 = h - 3*f. Let j be h - 2\/2*-1. Let y = 187 - 3367\/18. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102402561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6479, -6280, -6081, -5882, -5683, -5484?\nAnswer: -5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 6.2. What is the biggest value in 0.5, -0.01, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 26*k - 37. What is p(21)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4641 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:05 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/58*4\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 0, -4*z + 0*z + 177 = -3*k. What is the greatest common factor of z and 2352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3 - 11\/((-33)\/240). What is the greatest common divisor of 246 and r?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, f: 1, w: 1, l: 2, n: 1}. Give prob of sequence lu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -16.55. Let n = 0.05 + d. Let f = 1.5 + n. Which is the second smallest value? (a) 4 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-15))\/(-4)*13\/((-130)\/90).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 3*s - 33, 0 = 5*i + 5*s - 0*s + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 718344 plus 404284.23?\nAnswer: 1122628.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (41\/(-1))\/((-2)\/20). Calculate the common denominator of 97\/4 and (20\/(-150))\/(24\/j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04496 to 3 dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49107971.\nAnswer: 11, 107, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/11 - 116*p\/11 + 138 = 0 for p.\nAnswer: -69, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/18 - 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(-2))\/7)\/(261\/12 + -12).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 + 419. What is the remainder when 327 is divided by (0 + (3 - x))\/((-8)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44391.\nAnswer: 3, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.06 (c) 0 (d) 2\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-5)*20\/(-8). Let y(h) = -h + 3. What is y(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4134 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2832 and 71\/21784452.\nAnswer: 87137808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*z + 91*z + 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 18*s**2 + 32*s - 4. Let v be u(-16). Let a(g) = -237*g - 18. What is the tens digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 10010.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 4. Let t be 2 - (-1 + (-6)\/(-2)). Let p be r(t). Let k = 0.4 + -0.5. Which is the third smallest value? (a) -2 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*44\/(-33). Let u(c) = 7 + 2*c**k + c - 7. What is u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11) + (-17)\/(-19)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 4*m, m = p - 2*m + 16. Let z(v) = -2*v**2 - v + 0*v**2 + 2*v. Calculate z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2545 (b) -2 (c) 2 (d) -401\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -1\/13, 5\/3 in ascending order.\nAnswer: -1\/13, 0.02, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**6\/(a**7\/a**(-3)) assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 7*h - 9. Let l be i(-5). Which is the closest to l? (a) 4 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/44770 and 61\/3256.\nAnswer: 179080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1063 + -200306?\nAnswer: -201402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1330 and 1602384.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7865260 and 157520.\nAnswer: 346071440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271224413\/66572 - -6820\/1513. Let b = p - 4079. Let q = b + 12\/11. What is the closest to q in 0.2, -0.1, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1512582788 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3 - 1, 18 = 4*p + 5*y. Suppose -2585 = -p*r + 5*o, -r + 1300 = -0*r - 4*o. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(-6 - 1 - 1)*(17*d + 54 - 54).\nAnswer: 544*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.206703 times -0.1?\nAnswer: -0.6206703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2950, 0, 4 in ascending order.\nAnswer: -2950, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 times -1.16?\nAnswer: 1403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 102.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 8. Let h be b(7). Let m be (2\/h)\/(7\/105). Suppose -u + i - 1 = 0, 2*i = -0*i. Sort u, -3, m in ascending order.\nAnswer: m, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.14 + -1.3. Let v = -4.84 + s. Sort 14, -1\/3, v in descending order.\nAnswer: 14, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*v = 18*v + 26*v + 7290. Solve 0 = 9*j + 36*j - v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1101100111101110111101?\nAnswer: -1101100111101111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-80))\/(((-84)\/3192)\/(10\/(-6)))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -6. Let p(x) = x - 4. Let m be p(n). Suppose m*h + 40 = 2*i + 16, -2*i - 5*h = 4. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 4\/6 - (-150)\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 15*q - 11*q**2 + 13*q.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -188?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1323 and 49\/1899?\nAnswer: 279153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13609311999250*x**2 - 13609311999250*x**2 + 123*x**3.\nAnswer: 123*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -12. Suppose -92 = -y*a + 2*a. Let h = 59 - a. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + 6. Let m be t(0). Let x be (3 - (-435)\/25)*(22 - 17). What is the highest common factor of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxliimmmmmmi. Give prob of picking 3 m and 1 l.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2768044 and 2076033?\nAnswer: 8304132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/30)\/(24\/128*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - ((-36 - -31) + 19)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 324\/24 - (-2)\/4. What is the greatest common factor of q and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 + 5*p. Let s(g) = -g**2 - 4*g - 3. Let q be s(-2). Let v(o) = o**3 + o. Let w(a) = -a**2 - 9*a - 2. Let d be w(-9). Calculate d*v(r) + q*i(r).\nAnswer: 2*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 17. Determine a(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + q**3 - 2*q**3 + (0 + 0 + 2*q**3)*(2 - 3 + 3) - q**3 - q**3 + 5*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 4)\/((-6)\/8). Let b be o\/(-18) + (-48184)\/(-72). Suppose 25*p - b = 22*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -60. Let w = v - 6. Let r = 32.6 - w. Which is smaller: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 8. Let j be d(3). Let y(a) = -6*a + 2 + 4 + 4*a**j + 3*a**3 - 6*a**2. Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + 15*x**2 + 9*x + 3. Let d(k) = -k**3 - 7*k**2 - 5*k - 1. Let a(p) = 5*d(p) + 2*o(p). Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 2b8?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -99*c + 105. Let x(w) = -20*w + 21. Let d(h) = -2*o(h) + 11*x(h). What is the derivative of d(r) wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:29 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 517 + 227 = 0. Let c = 119 - -2. Let z = u + c. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*h**2*p - 8*c*h*p - 2159280*c*p + 3*h**2*p + 46008*h**2 + 6*h*p + 2*p - 132 wrt c?\nAnswer: h**2*p - 8*h*p - 2159280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000584633636 rounded to five dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 - 7. Let n(h) = h**3 + h**2. Let a(s) = 3*n(s) + z(s). What is the derivative of a(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -2\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 386724 > -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 36\/(-6)) + 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 6. Let c be h(7). Suppose 0 = -2*f - 3 + 13. Let s be (f\/(-1))\/(c\/(-1)). Solve 4*g - 20 = -s*l + 2, -l = 4*g - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.33\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(5\/(-12))*11\/((-264)\/(-90)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10687454?\nAnswer: 2, 5343727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783623 to the power of 1\/2, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/120 + y**5\/15 + y**4\/6 + y**3 - 8*y**2. Let x be q(5). Let o = -2 + 1. Sort o, x, -3 in decreasing order.\nAnswer: x, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -77. Let i = h - 35. Let j(v) = -v + 21. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.663 - 2.4. Round s to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0597051569 rounded to 4 decimal places?\nAnswer: 0.0597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311493?\nAnswer: 1311493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 94.06543mm?\nAnswer: 0.09406543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185099967 is divided by 2225.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/60 - 53*m**5\/120 - 77*m**4\/24 + 49*m**3\/4 + 21*m**2 + 5. Factor q(b).\nAnswer: -(b + 7)**2*(4*b - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2130 and 28611580?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.758502537802 and 562?\nAnswer: 561.241497462198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - m - 2*m)*(6*m + 4*m - 3*m) + (1 - 3 + 1)*(3*m**2 - m**2 - m**2).\nAnswer: -43*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k + 158. What are the prime factors of w(9)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 14) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.600033 - 2.6. Round j to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 3}. What is prob of picking 3 p and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*z - 28, 3 - 5 = 2*z - 2*h. Suppose -z*v - 2*v + 20 = 0. Suppose -2*d - 3*o + 24 = 0, -v*o = -11 - 5. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - -106 - (-3 + 17 + 1 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90652589\/3172 - -28579. Let y = 17051\/4758 + m. Calculate the common denominator of y and 91\/222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j - 1. Let f(p) = -13*p**3 - 13*p**2 + 13*p + 13. Give f(v) + 13*t(v).\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 211.199?\nAnswer: 214.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 3?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.416 - -0.4. Let q = 109.525 + -109. Let d = q - g. What is d rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027415347 to 7 decimal places.\nAnswer: 0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - z + 37, -12 = -3*z. Let v = q + 15. What is the greatest common divisor of v and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115429 or -115513?\nAnswer: -115429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/801, 0.4, -1\/36 in increasing order.\nAnswer: -1\/36, -2\/801, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000 divided by -10?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -24.0623998?\nAnswer: 24.5623998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243) + sqrt(243) + 1) + -2)**2 + 2.\nAnswer: 540*sqrt(3) + 24311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 3*s + 7. Give w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + 4 + 6696\/(-48)). Is k greater than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -397*w - 1. Let n be p(-3). Let o be 5*(-5)\/(n\/8). Let a = -2\/17 + o. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26630190.19 and 0.1692.\nAnswer: 26630190.3592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/6)\/s))\/(s*s**26) assuming s is positive.\nAnswer: s**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3553*y**5*z + 2*y**5 - 3*y*z + z + 450 wrt y.\nAnswer: 71060*y**3*z + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10984 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*m = -2, 3*p + m - 6 = -2*m. Solve 0 = -2*n - 5*h - 27, 20 + 3 = -p*n - 4*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 569*j**4 - j**3 - 2*j + 70 + 34*j**2 - 69 - 581*j**4 as k*j**4 + u + t*j**3 + f*j + w*j**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -160*b - 469. Give t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.3 - -26. Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 2*v**2 + 1131*v - 5*v**2 - 1122*v to the form p + w*v + f*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 1342*t + 3*t**3 + 1342*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-3) - 2) + 4. Suppose 0 = -4*w - j*b + 3*b + 34, 4*w + 4*b - 24 = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 333*b**6\/40 + b**5\/30 - b**4\/24 - 177*b**2. Is x(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - 0) - -10 - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**3 - 20*w**2 - 16*w**2 + 8*w**3 + 11*w**3 - 4*w**3 + 24*w + 16 = 0?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Suppose 0 = 5*t - 2*h - 20, 3*t - 4*h - 28 = -2. Let s(y) = t*y + 0*y + u*y. Let r(q) = -3*q. Determine s(r(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. Suppose -z - 5 + 1 = 0, -44 = -2*x + o*z. What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 53 - 13 = 0. Let y = m - -4. Let i(w) = w**3 + 4*w**2 - 7*w - 8. List the prime factors of i(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -2*s + 2*g, -2*g + 6 = 2*s. Solve -s = -5*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 4. Let g be j(-3). Let k = 16168 + -16171. Which is the second biggest value? (a) -1 (b) g (c) k (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 32*t**7\/105 - t**4\/12 - 905*t**3\/2 - 2*t**2 - 2557. Find the first derivative of s(p) wrt p.\nAnswer: 256*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.06. Let g = k + -0.02. What is the nearest to g in -0.5, 0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n - 20 = 2*p, -n - 20 = -5*p. Let d(i) = 2*i**2 + 40*i + 13. Let r be d(n). Solve -s - 5*w = 9 + r, -1 = 3*s + 2*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -12*q. Suppose q = -12*h - 23 - 37. Let k(r) = r**3 + 3*r**2 - 6*r + 4. Give k(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13413 and 267915733.\nAnswer: 4471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j + 248 = 85*j - 175. Let a = 5146 + -36094\/7. Sort -3, a, j in descending order.\nAnswer: j, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and 2.02.\nAnswer: 171.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*t**6 + 11*t**5 - 583*t**3 - 2*t**2 + 11935547*t wrt t.\nAnswer: 17520*t**3 + 660*t**2 - 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n + 38*n - 12*n + 35*n - 6*n**3 - 100*n.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = 4*o - 5*v, 0 = -o - 2*o - 5*v - 491. Let r = 159 + o. Solve -6*c - 18 - 1\/2*c**r = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.008 - 0.042. Let b be (1\/2)\/(2\/(-20)). Sort c, b, -2\/7.\nAnswer: b, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*z - 12\/5 - 6\/5*z**3 + 3\/5*z**4 - 9\/5*z**2.\nAnswer: 3*(z - 2)*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1683 + -646. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = -3*j + 26, 4*b - 20 = 0. Let g(r) = -3*r**3 + j*r + 0*r**3 - 3 + 0 + 3*r**2 + 2*r**3. Let a be g(2). Sort -0.1, -4, a.\nAnswer: -4, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -34. Solve -t = o + 5*d, 5*o - d - 3*d = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 14 = -8. List the prime factors of m*4*(-39)\/(-52) + 144.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/2)\/k))\/(k\/k**(-5))*k\/k**1*k**(2\/3) assuming k is positive.\nAnswer: k**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4 - r**3 + r - 2*r - 5 to the form c*r**3 + a + o*r + s*r**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/192340 and -1\/97350.\nAnswer: 31736100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p = 6. Suppose 9 = 3*u - c, 0 = p*u - 3*c - 12 - 1. What is h in 2*h**3 + 6*h - 4*h**3 - u + 2*h**3 + 2*h**3 - 6*h**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -402446012 + 4?\nAnswer: -402446005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l**(3\/8))\/((l*l\/(l**(-1\/12)*l)*l)\/(l\/(l**(-4)*l*l))) assuming l is positive.\nAnswer: l**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*g - g + 16, 4*g - 3*r = 12. Suppose 5*h - h + 5*v = 13, v + 4 = -3*h. Which is the closest to g? (a) h (b) -2\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87697 - -5?\nAnswer: 876a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 12:40 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80211475.\nAnswer: 5, 3208459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -5. Suppose -d = -0*j - 2*j + h, 5*j = -h + 73. Calculate the remainder when 19 is divided by 136\/j + 6\/21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402060460*y**4 + 327*y**2 + 694966.\nAnswer: -9649451040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/230)\/((-15)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -34*i - 10. Let b(g) = -1. What is 12*b(a) - t(a)?\nAnswer: 34*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 25108*n\/3 + 8370.\nAnswer: -2*(n - 12555)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 168, 165, 110, -15, -228, -547, -990?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 - 14*q**2 + 7*q + 4. Let j(g) = -11*g**3 + 21*g**2 - 11*g - 6. Let y(s) = 8*c(s) + 5*j(s). Let l be ((-1620)\/(-630))\/(27\/42). Determine y(l).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129926.\nAnswer: 2, 167, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54130501 - -3?\nAnswer: 54130504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5763562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.2 (b) -2401 (c) 47 (d) -1 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 - 19*r - 36. Let q be u(12). Find the common denominator of -131\/12 and 8046\/q + 2\/(-11) - -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001100 (base 2) in base 8?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/15 - 5*u**3\/6 + 18*u**2. Let k(f) = 2*f**2 + 2. Let m(n) = -2*g(n) - 5*k(n). Let l(d) = 2*d**2. Give l(m(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h - h**2 - 536 + 984 - 244 + h**3 - h**2 + h**2 + (h - 2*h**3 - h)*(-1 + 1 - 2) + 2*h**3 - 3*h**3 - h**3 + (h**2 - 4*h**2 + h**2)*(-2 + 2 - h).\nAnswer: 3*h**3 - h**2 + h + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from qdhqmqqqdhxhqum?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -896\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 27. Let h = 7 - d. Let k = h - -14.89. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 37. What is the derivative of 32 + 2*z**3 + z**3 - m wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2276, -4561, -6860, -9179, -11524?\n\"Answer: -n**3 - n**2 - 2275*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + -8)\/(3 + (-14318)\/(-2864) + -8) is divided by 132?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - ((sqrt(300)*-2 - sqrt(300)) + 5))) + -1)**2.\nAnswer: -240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -47. Let r = d - 4. Sort -5, 0.4, 3, r.\nAnswer: -5, r, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*a - 44544 - 259562. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**35*(o*o**0*o)\/(o*o*o**(-5\/6)))**(-1\/56) assuming o is positive.\nAnswer: o**(-425\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 71*n**2 + 26*n - 119. Give v(24).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.1 + 168284.\nAnswer: 168262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.1. Let m = -0.47 - 0.03. What is the smallest value in m, j, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4302397*c**2*l**2*q**2 - 3*c**2*l*q**2 + 483*c**2*q + 2*c**2 + 2*c*l**2*q**2 + 2*l*q**2 + 136*l*q wrt l.\nAnswer: 8604794*c**2*q**2 + 4*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**8\/168 + r**7\/105 + r**6\/20 - r**5\/30 - r**4\/6 + 3*r**2. Suppose x(h) = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 88*s + 25 = 93*s, -2*s = 5*l - 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70\/307 or -1?\nAnswer: -70\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i - 7. Let x(j) = j + 1. Let s(h) = -d(h) - 5*x(h). Suppose 6 = 4*c - c. What is s(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 598?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 64 = 3*o. Let u = o + -21. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50419651 is divided by 1409?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odhp when four letters picked without replacement from poohoodhco.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-1)\/3)\/(88\/(-264)). Let a(u) = -2*u + 1. Let s(q) = 85*q + 21. Let k(n) = m*s(n) - a(n). Differentiate k(p) wrt p.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19975790 and 18120?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.67 - -0.33. Let h = -2686\/29 + 16145\/174. What is the nearest to 1\/3 in h, -1\/3, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 146 = 202. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4897056 by 2.\nAnswer: 2448528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*f = -278, -79 = -3*p + 3*f + 191. Calculate the remainder when p is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41421 + 165683\/4. Suppose -3*t - 24 = -6*t. Let l be (-12)\/(-91) - t\/28. Which is the closest to -2? (a) r (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.406174 rounded to 2 dps?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruh when three letters picked without replacement from {h: 1, n: 1, u: 1, r: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - -10 - (3 - 5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*g - 61, 0 = 5*g - 1 + 6. Let z = 11 - a. Is (8\/8)\/(z\/(-934)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8479443 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 + 0.18. Let i = p + 0.17. Let q = 1.2 + -0.2. What is the nearest to i in q, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:52 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 60 + 12. Suppose 0 = 3*x - 9, 2*x = -2*z + 11 + 9. Calculate the remainder when j is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = -2*h, q + 5*h - 2 + 13 = 0. Let s(o) be the first derivative of -o**4\/4 + 10*o**3\/3 - 7*o**2\/2 - 7*o + 27. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52101760.153 - 52228925. Let m = 127356 + w. Let l = m + -191. What is l rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000200989604 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1752*a = -1118*a + 4438 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 3*v**3 + v**2 + 3*v - 2 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -2\/3, -845.7, -2 in ascending order.\nAnswer: -845.7, -2, -2\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.0243, 2, -31, -3, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64982.\nAnswer: 2, 32491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21678 (base 14) to base 3\nAnswer: 11002220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 4*q**2 + q**2 - 7 + q**2 - 5*q**2. Does 16 divide p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/7)*d\/d**(-17) assuming d is positive.\nAnswer: d**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*m**4*s + 3*m**3*s - 2*m**3 - 2*m**2*s + 88*s wrt m?\nAnswer: -408*m*s + 18*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w - 313*w + 45*w**4 + 684 - 1821*w**2 + 399*w**3 - 481*w - 606*w = 0 for w.\nAnswer: -12, -1, 1\/3, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 41134 = -4*k, 51*k = 46*k - 4*b + 51449. Calculate the greatest common divisor of 255 and k.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u + 188. Suppose 0 = 13*o - 439 + 361. What is the smallest common multiple of o and u?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508498 is divided by 9080?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5037503*r**4 + 3*r**3 - r**2 + 2*r - 16154019.\nAnswer: -60450036*r**2 + 18*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgd when three letters picked without replacement from {t: 4, g: 4, d: 7}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/47)*(n**(23\/2)\/n*n)\/n*n)\/((n*n*n\/((n**19\/n)\/n*n))\/n)**3 assuming n is positive.\nAnswer: n**(5595\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (315\/(-10))\/((-24)\/4768)?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18*13.022\nAnswer: -234.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 3. Calculate the smallest common multiple of v and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 130883.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152.5 + -41.5. Let a = -768.873 + 574.8643. Let m = a - q. What is m rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/833 or -142?\nAnswer: -9\/833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12406\/403 or 82?\nAnswer: -12406\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -119287?\nAnswer: -59643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9610201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -474 + 476. What is the third derivative of -57*p**2 + 72*p**2 - 1 + 111*p**4 + 94*p**m wrt p?\nAnswer: 2664*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 10*k**2 + 25*k + 9. Let w be i(12). What is the second derivative of 54*u**5 - 50*u**5 + 3 - w*u - 3 wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 23*r = 171561. Suppose 4*k + 2*n = -k + r, 3*n = -k + 885. List the prime factors of k.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10111490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7808 - -13409. Let z = -1662 + h. Suppose 5*g + 94 = z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/1 - (-41)\/((-164)\/(-8)). Put -67, 1, n in ascending order.\nAnswer: -67, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + (-2583)\/(-14). Suppose -3*f + 9*f - d = 0. Calculate the remainder when f is divided by -4*2*2\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {y: 3, n: 2, d: 1, o: 6, v: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.5 (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 7840 - 2*b - 7840.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - x**2 - 2. Let r be i(2). Let u be -3*3\/(-6)*r. What is the highest common factor of 90 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24. Sort -0.07, 2\/11, r, 5.\nAnswer: -0.07, 2\/11, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27740\/11 + 2524. Let a = w + -383\/110. Let f = -4\/5 - a. What is the closest to -0.1 in f, -5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 - 2 = 4*c, 5*c - 5*g - 5 = 0. Suppose c = 6*y + 5*y - 21571. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18 = 4*o - 53, 5*b - 15 = 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -2044809.\nAnswer: 40\/2044809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2. Let z(v) = -6*v**2 - 86*v**2 + 33*v**2 - 140*v**2. Give x(z(s)).\nAnswer: 79202*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1135*q + 16519 = -1084*q - 1688. Which is smaller: q or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238580 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 4.05. Suppose -4*u + 2 - 6 = 0. Let l be (-3)\/63*-3*u. Sort o, l, 2\/9 in decreasing order.\nAnswer: o, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -135. Let z = m - -296\/5. Suppose -z + 6\/5*x - x**2 = 0. Calculate x.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 37, -2.08, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 7*z = 5*f - 77 + 107, 3*f = z + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*j - 478 = c, 0 = 3*j - 2*j + c + 4*c - 2*c - 7*c + 46 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - l - 21 = 0. Let d be 4\/8 - (-14)\/4. Solve d*o - 7 = -l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 not equal to -374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2850\/8400 + (-8)\/21.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537282 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)*-4 + -5)*2.\nAnswer: -64*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67963, -66976, -65977, -64960, -63919?\n\"Answer: s**3 + 980*s - 68944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 5:30 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (745\/45*-3)\/(1\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3461 + 3483. Calculate the smallest common multiple of 72 and a.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35244, 70487, 105730, 140973, 176216, 211459?\n\"Answer: 35243*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -18 + 3. Let q(v) = v**2 - v. Let w be q(2). Suppose -w*o = -5*o + 6. Solve -z - o*t = 3 - 0, 0 = 4*z - f*t - 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710*l**5 + l**3 + 63*l - 8 wrt l.\nAnswer: 14200*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 2. Suppose -4*c - 4*z - 8 = 0, -4*z = -2*c + 3*c + 14. Let y be t(c). Let u = y - 1. Which is greater: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 5*u + (0*u + 0*u - u)*(0 + 4 - 5) - 4*u + 5*u - 4*u + (-2 - 1 + 5)*(4 + 2*u - 4) - 4*u - 2*u + 7*u)*(-3 + 3 - u**3).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + y**2 - 3*y**2)*((-2 - 3 + 4)*(y + 0*y + 2*y) + y + 3 - 3)*(3*y - 2*y - 2*y).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*m - 7, -5*m + s + 5 = -s. Let o = 168 + -174.4. Let v = o - -1.4. Which is the smallest value? (a) m (b) v (c) -1\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = -3*d, 3*j = 3*d + d - 7. Suppose -2*b - 13 = -j*b. Suppose 5 = 3*h - b. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26 and 0.019431?\nAnswer: 25.980569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10549627 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i - 266. Is p(-46) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2451)\/(-702) - -3 - -2. Let l = -10\/13 + a. Calculate the common denominator of -61\/4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-3)\/162)\/(25*5\/150).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 72 = 10*g, -2*h + 3*g + 73 = 21 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11526 + 11527. Which is the third smallest value? (a) r (b) 1\/16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 89, 126, 127, 80, -27?\n\"Answer: -2*r**3 + 75*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 74.06. Let x = z - 0.65. What is x rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5 - 11. Suppose -x*z - z = -35. Let v = -0.3 - -0.2. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.99293 + -193.992305. Let q = -190 - j. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 18*r - 3. What is the hundreds digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 14. Let x(b) = -b - 2. What is -g(r) + 5*x(r)?\nAnswer: -11*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.1 (c) -4\/17 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 3647\/15. What is the second biggest value in t, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b + 4. Let r(o) = o - 1. Let h(w) = -n(w) + 2*r(w). Find the first derivative of h(k) wrt k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/((-8295)\/1120))\/(1\/9*3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + j)*(-j - 2 + 2) - 187*j**2 - 1 + 5 + 190*j**2.\nAnswer: 2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 4. Let v(g) = g**3 + 7*g**2 - 2*g - 31. Let z be v(-6). Let n(h) = 2*h - z*h + 9 - 2*h + 8*h. Let i be 1\/(-2) - 5\/2. What is i*n(a) - 7*j(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -467672.\nAnswer: -467672.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Solve 2*l + 2*j = -3*l - 10, -2*l - x*j - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*y + 5*l, 0 = -3*y - 3*l + 51 - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/17)\/k)\/(((k\/k**1)\/k)\/k*k))\/(k**(1\/5)*k**(1\/9)))\/((k\/(k**(-1\/2)\/k))**(-3\/28))**(27\/2) assuming k is positive.\nAnswer: k**(293249\/85680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 6*t**2 - 7*t - 7. Suppose b = -0*b - 5*f - 4, 5*f + 22 = 2*b. Let w(x) = -4*x**3 - 13*x**2 - 15*x - 15. Determine b*w(k) - 13*m(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39834778 to the nearest integer?\nAnswer: 6311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/3 > -18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let s(n) = -304*n**2. What is s(x(j))?\nAnswer: -304*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5560 is divided by 266.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**5\/120 + 3*l**4\/8 - 2*l**3\/3 - 31*l**2 + 145. Let w(y) be the third derivative of s(y). What is w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r - 4. Let o(t) = -168*t**3 + 96*t + 384. What is -96*f(q) - o(q)?\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38840242349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228184*a**3*y**2 + 3*a**2*y**3 + 2169679*a*y**3 wrt a.\nAnswer: 1369104*a*y**2 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 2\/11, -5, -1, -3\/2, 350?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/4 - f**2 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -835 - -6?\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163 - -1571296.\nAnswer: 1571459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 197*d + 3915. Determine c(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 18343387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -4, 1\/2, 68?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70029\/10)\/((-1)\/(14\/12)). Let a = 8173 + h. Find the common denominator of a and -109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4833, 9851, 14869, 19887, 24905?\nAnswer: 29923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Suppose s = -0*s + d. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4109*y = 4115*y - 26220. What is the lowest common multiple of y and 1311?\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(12) - -3*-1*sqrt(12))\/(-2*sqrt(4)*-3).\nAnswer: -2 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 27*q**2 + 627*q + 126. Let i be j(42). Solve 5*f + 13*t + 14 = 15*t, i = 2*f + 5*t + 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 46*l\/7 - 44\/7.\nAnswer: -2*(l - 22)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = -4*n + 105, -5*n - 5*m = -75. What is the remainder when 239 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m**2 + 2*m)*(-88 + 137*m + 88 + 85*m).\nAnswer: 222*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 893281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 = x, 0 = 2*m + 3*m - 5*x + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -17. Suppose 8 = -d*s + 17. Let u(c) = c**3 - 6*c**2 + 5*c - 2. What is u(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-23 + 12)) + -26.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80318590.\nAnswer: 2, 5, 11, 41, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -90.34. Let i = 2 + z. Let t = -0.1 - i. Round t to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 7 + 1. Suppose -221 = -d*t - t + 5*n, 4*t - 3*n - 291 = 0. Suppose t = -2*x + 4*x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-96))\/((-18)\/48).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8*-82 - 1\/(-2). Let y = i - -18. Is y != 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*p. Suppose -2*n + 83 + 85 = p. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 50*c**2 - 15*c. Let b(t) = t**2 - 25*t - 49. Let n be b(24). Let a = n - -71. Let z(k) = -7*k**2 + 2*k. Let h = 91 + -106. What is a*q(p) + h*z(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -23*k**5\/60 - 11*k**4\/12 - 3*k**2. What is the second derivative of t(m) wrt m?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 476 and 27615\/58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 8*n + 3. Give s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.036, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58849 is divided by 4186?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39\/35 + 12\/7. Let p = 7548 - 37744\/5. Which is the third smallest value? (a) -3 (b) h (c) p (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19555.69 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24788 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: What is -1314701170 rounded to the nearest one million?\nAnswer: -1315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18b07 (base 13) to base 16\nAnswer: -bb83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) 1\/6 (c) 4 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.02129 rounded to zero dps?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91768.64ng to micrograms.\nAnswer: 91.76864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -171. Let a = -31 - n. Let i(h) = -h**2 + 2*h - 2. Let z(c) = 1. Calculate a*i(g) - 3*z(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k + 57*k + 1588 = 0. What are the prime factors of k?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277 + -274. What is the nearest to 2 in 2\/15, 2\/13, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 11, 0, -13, -3, -9 in decreasing order.\nAnswer: 11, 10, 0, -3, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18732, -38459, -58188, -77919, -97652, -117387, -137124?\n\"Answer: -c**2 - 19724*c + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412481819 a multiple of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-152))\/(2\/38)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.8 + 39886.944?\nAnswer: 39867.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/10*(-750)\/3600?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 22 = -13*x + 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 v when four letters picked without replacement from {y: 2, v: 15, k: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/6 in 1, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2083291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 + y - 3. Calculate r(-8).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 10 = -11*d. Suppose 5*a - 25 = 5*s, 5*a + 3*s + 7 = 40. Calculate the smallest common multiple of a and d - (3 - 0)*(-6)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g - 1. Let j be u(-2). Suppose -15 = j*p, -3*n + 37 = -4*p - 5. Solve 0 = 4*r - 2*r - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1509, 3028, 4515, 5946, 7297, 8544, 9663, 10630?\n\"Answer: -4*w**3 + 8*w**2 + 1523*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (468\/90)\/((-2)\/(-60)). What is the greatest common factor of g and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**4 + i**3 + 10408*i**2 + 88131?\nAnswer: -4*i**3 + 3*i**2 + 20816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*m**3*p*x - 1922*m**3*p + 3*m**2*x + 3*m**2 - 8*p - 1101*x wrt m.\nAnswer: -486*p*x - 11532*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*f = 629*f - 3*v - 1, 3*f + 6 = 4*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a + 261 = 36*a + 259*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*c**3*h - 2*c**3 - 2*c**2*h - 201*c*h wrt c.\nAnswer: -600*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d + 33*d = 20*d - 11284. Put d, -2, 3 in decreasing order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25114.\nAnswer: 2, 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 3*r**4 - 19*r**2 + 27*r**2 + (3*r - r**2 - 3*r)*(r + r**2 - r).\nAnswer: -4*r**4 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 1, p: 2, q: 2, f: 2, l: 1}. Give prob of picking 1 f, 1 l, and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4320548 is divided by 339.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116.986 + 193.\nAnswer: 76.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tutu when four letters picked without replacement from {r: 8, u: 5, t: 2}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 6. Let a be (-15)\/(-10) + g\/(-4). Let n be (a + (-2 - -2))\/2. Solve 3*f + i = -9 - n, 3 = -i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 5*g**3\/3 - 113*g**2\/2 - 13101*g. Calculate j(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 25*s**2 - 2*s. Let j be 1 + -7 + (1 - 0). Let k be -4 + (j - (-4)\/1). Is q(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 + j**2 - 32*j + 1. Let r(p) = -11*p**3 + 2*p**2 - 66*p + 3. Calculate -7*n(l) + 3*r(l).\nAnswer: 2*l**3 - l**2 + 26*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74556 + -15719. What are the prime factors of y?\nAnswer: 17, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003865 to 6 dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.182 + 5.182. What is the biggest value in 2, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752378050 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*p = -p + 14, -3*k - 17 = 5*p. Let f be (-88)\/8*(-80 + k). Suppose 283 = 4*o - f. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31*(-117)\/4836)\/((-1)\/(-28))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6941 divided by 1\nAnswer: -6941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 4. Let y be g(5). Suppose 3*u + 1 = -y. Is ((-2)\/(-3))\/(u\/(-1986)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (50 - 4)*6\/(60\/215).\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by -6\nAnswer: 221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47098 > 47097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105645 to 4 decimal places.\nAnswer: 0.1056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8159 - 24694 = -414*s + 3167 + 7036 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 575*c + 106891. Give l(148).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-84)*2 + (-4)\/84.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/6 + 5*b**4\/3 + 17*b**3\/2 + 34*b**2\/3 + 14*b\/3 = 0.\nAnswer: -2, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*(15\/(-6) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12770 and 3550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, -3, 8 in decreasing order.\nAnswer: 8, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9536.22 - -0.5?\nAnswer: -9535.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 9:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5854*p - 335387 - 68539 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/60 - j**5\/6 + j**4\/3 - 2*j**3\/3 - 4*j**2. Let l be r(-6). Suppose 3*u = l + 199. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(240) - (sqrt(960) + (-2*sqrt(960) - sqrt(960)) + sqrt(960) + sqrt(960) + sqrt(960)))\/(1*(sqrt(12)*-4 + sqrt(3))).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5797*z - 1. Let c(b) = -1160*b. Give -16*c(q) + 3*u(q).\nAnswer: 1169*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 - 2*y**2 - y**2 - y**3 - 4*y**2 - 5*y. Let x(z) = 7*z**2 + 462*z - 7. Let c be x(-66). Is 6 a factor of j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + i + 7. Let s(d) = -d. Give k(t) + s(t).\nAnswer: 2*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*t - 11, v - 5*v = -12. Suppose -1241 = -t*y + 3473. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 203621 and -502?\nAnswer: 204123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/(-72)*1368\/11628.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-441)\/(-28))\/7)\/((-14)\/(3920\/21))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 256274?\nAnswer: 256274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 779, 785, 791, 797, 803, 809?\n\"Answer: 6*k + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 24*k - 88. Let r be s(-18). Solve -23*u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7511260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 536*v + 545*v + 544*v - 84 - 1622*v in the form p + t*v and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*(r\/(r\/(r*r**(1\/3))))\/(r**1\/r*r))\/(r**(2\/7)\/(r*r*r**(1\/9))*r**0*r*(r**(-2)*r)\/r) assuming r is positive.\nAnswer: r**(806\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 553 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 + 203. Let p = 215 + h. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346257681 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 150546552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87099516*a**3 - 340524156*a**2?\nAnswer: 522597096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178138933*p**3 + 72058*p + 1698.\nAnswer: -1068833598*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3, -16 - 191 = -3*j + l. What is the lowest common multiple of j and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**2*x**3 + p**2 + 547*p*x**2 + 3*p - 38*x**5 + x**4 - x wrt x.\nAnswer: 18*p**2 - 2280*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150488, 150490, 150492, 150494?\n\"Answer: 2*x + 150486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-6) + (-4)\/(-6). Let d(t) = -t**3 + 5*t**2 - 3*t. Let g be d(4). What is the second derivative of -2*p**4 - 4*p + 2*p**g + h*p - 2*p**5 wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f**(1\/12))*f)\/f))\/(f*f**(1\/2)))**(-6\/5) assuming f is positive.\nAnswer: sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 + o**2)*(-o - 2*o + 2*o) - 22*o**3 - 281*o**3 + 58*o**3 - o**3 - 8*o**3 + 5*o**3.\nAnswer: -251*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84211, -84212, -84213, -84214, -84215, -84216?\nAnswer: -84217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*l + 4*l + 15415 - 16247 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -51. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 6, 0, 90 in descending order.\nAnswer: 90, 54, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 89204181?\nAnswer: -89204181.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + sqrt(612)*1 - sqrt(17))*3 + 5 - (4 + (sqrt(51)\/sqrt(3))**2 + -2*(sqrt(17) + sqrt(425))).\nAnswer: -16 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275437736, 550875475, 826313216, 1101750959, 1377188704, 1652626451, 1928064200?\nAnswer: 2203501951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -78, -101, -134, -183, -254?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba + 5?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 57, 87, 133, 201?\n\"Answer: t**3 - t**2 + 16*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 14666*v - 2519264 = 0.\nAnswer: -7157, -176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - -1.7. Suppose 2 = 5*i + 2*r + 1, -4*i = 3*r - 5. Put 1, i, c in descending order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(128 - 25*u + 2721*u**4 - 129 - 17*u + 44*u).\nAnswer: 2721*u**4 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 23*c = 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -253 (base 14) to base 11\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/99 and 107\/1206?\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -19) + -7 - -9 - (11 - 45)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:54 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*m - 0*m + 3*l, -l - 4 = 0. Let y = -0.2 + -4.8. Let o = -0.03 + -0.47. Which is the closest to 2\/5? (a) m (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*r + 56*r - 280. Suppose 116 = q - 5*p - r, -4*q + 1066 = p. What is the remainder when q is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*l = 3*x - 1, 0 = -4*x - 5*l - 8. Suppose -2*t + 11*t = 18. Solve t*y + 3 = 5*j - 3, -4*j = x*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:27 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uinukdkhnuhhinikuuih. Give prob of sequence kuni.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -26. Suppose 2*n + 5*z - 26 = 0, 4*n - 2*z = n + r. Let m(k) = -9*k + 13. Let s(a) = -2 - 2*a - 4 + 6*a. Give n*s(i) + 6*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698477 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -2.3059367.\nAnswer: 6.9178101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121665769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 3*f**3 + 9*f - 10*f**2 + 5*f**3 + 8*f**2 to s*f**3 + y*f + z + u*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 75 = 19. Let m(r) be the second derivative of -5\/3*r**3 + 0 + 0*r**w + 8*r. Let k(j) = -j**2. Determine k(m(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**3\/57 + 34*q**2\/19 + 450*q\/19 - 7015. Factor i(o).\nAnswer: 2*(o + 9)*(o + 25)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))**2*-6*5.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214 (base 6) to base 13.\nAnswer: 19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13430 + -13436. Let k = 4.06 - 0.06. Let p = k + -2. What is the nearest to 2\/7 in p, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 80\/150*(-650)\/(-104)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 176, -1\/3, -22 in decreasing order.\nAnswer: 176, 106, -1\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 9*z**2 - 4*z + 4. Suppose -2*j = -6*j - 36. Let t be y(j). Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*b = 188 - 353 + 189, -3*u = -3*b - 21 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5328631 and -0.2.\nAnswer: -5328631.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*j**2*u**3 + 6*j**2*u**2*z**2 - 23818*j**2*u*z**2 + j**2*z + 13*j*u**2*z**2 + 15976*u**3*z**2 - 2*u**3 wrt u.\nAnswer: -198*j**2 + 95856*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:44 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -1, -3, -2, -63 in descending order.\nAnswer: 78, -1, -2, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2\/5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8070 = 2*f, -32268 = -4*k + 13*f - 9*f. Suppose -3*q - 11*q + k = 0. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380620 - 380620 + 4427*z**2.\nAnswer: 4427*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 9*w - 852 = 0. Calculate the remainder when 148 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 71*a**2 + 2*a + 2. Let l(p) = 12567*p**2 + 355*p + 355. Calculate -355*k(q) + 2*l(q).\nAnswer: -71*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*o + 4, 0 = 2*o + t + 3*t + 6. Let g(j) = j**2 + 14*j + 10. Let i be g(11). Suppose 2*q - 3*q + 53 = z, -o*q + i = z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4 - -1)\/(-5))\/(-1). Solve 3*h - 23 = -5*c, 3*c - 11 = o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 312 - 1230. Let l = i + 917.9391. What is l rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -215, -254, -353, -542, -851, -1310?\n\"Answer: -5*k**3 - 4*k - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 + v**3 - 7*v**3 + 3*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_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 cube root of 247696 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 4*u**3 - u**3 + (-u**2 - 4 + 4)*(0*u + 6*u - 4*u) + 81*u**3 - 12*u**3 + 54*u**3.\nAnswer: 124*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/840 - z**5\/420 + z**4\/84 + 6*z**2. Find u such that a(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f + 42 = 64*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 2, 45\/19, 0.1 in descending order.\nAnswer: 45\/19, 2, 0.5, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2.43, 4?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*p + 102*p - 54*p - 2)*(-5*p**4 + p**4 + 2*p**4).\nAnswer: 2*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + 3*d + 6. Let f be z(-3). Suppose -5*w = 4*v - 144, -f + 91 = 2*w - 3*v. What is the highest common factor of 64 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/5, 2\/9, -2, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 869*p - 871*p - 22 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 + 3. Let k = -3.8 - -4. Which is the third smallest value? (a) -14 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 57*q**2 + 28*q**2.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*2\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*t**2 + 683*p*t*v**2 + 347954*p*t - 9*p - 13539*t**2*v**2 + 2*t**2 wrt v.\nAnswer: 1366*p*t*v - 27078*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -600522598786 + 113?\nAnswer: -600522598673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/12 - 27*n**3\/2 - 40*n**2 + 873*n. Factor c(t).\nAnswer: -(t + 1)*(t + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -790*h**5 + h**3 + 4*h**2 + 72*h wrt h?\nAnswer: -47400*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n - 54345 + 79213 = -134304. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + 926*q**2 - 2343*q - 702. Calculate s(-234).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*o**5 - 8\/7*o - 26\/7*o**3 - 12\/7*o**4 + 0 - 24\/7*o**2.\nAnswer: -2*o*(o + 1)**2*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/36)\/((-2)\/30). Solve -11*p + h = -12*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -802327*2.\nAnswer: -1604654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73504 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -27207?\nAnswer: 27207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10813049 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -638*s**3 + 15*s**2 + 4*s. Let v(p) = -319*p**3 + 8*p**2 + 2*p. Determine -6*l(f) + 11*v(f).\nAnswer: 319*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 6, o: 6}. Give prob of sequence mkmk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58508 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.1318.\nAnswer: -0.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4 + b - 12 - 2*b - 4. Let j(u) = -u**3 + 3*u**2 + 10*u - 8. Let c be j(5). Give v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3809, -3261, -2711, -2159?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 14*v = -177. List the prime factors of v.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 507 and -44.1?\nAnswer: 551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 8. Let d = -1114 + 1116. Let n = j + d. Which is the biggest value? (a) n (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -314 - -374. Calculate the greatest common factor of n and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.298 + 0.398. Let t be (-2 + -9)\/(-12 - -13). Suppose n + 2*h - 1 = 0, 5*n + 2*h = -h - 2. Sort t, n, v in descending order.\nAnswer: v, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q**2 + 8356*q + 5040 = 0. What is q?\nAnswer: -126, -20\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/1680 + 7*q**5\/30 - 51*q**2. Let m(i) be the third derivative of r(i). Let l(k) = -10*k. Calculate m(l(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1506*c. Let f(q) = 8*q**2 + 5*q. Determine f(l(i)).\nAnswer: 18144288*i**2 - 7530*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - (29 - (43 - 22)). What is the smallest value in -4, g, -117, 0?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 - 2. Let o be r(-1). Let w be ((-9)\/(-20)*-1)\/(o\/(-15)). Let d = 4 + -4.06. What is the second smallest value in w, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2 - 5*s + 6*s**2 + 2 - 5. Let v(x) = -2*x - 5. Let m be v(-5). Let c be b(m). Is c < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2215454477 to the nearest integer?\nAnswer: 47069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)\/(u*u*u**8*u))**(-2\/7)*(u*u*u**(-1\/3)*u*u\/(u*u**(-1\/7)*u))**(-21) assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 600269, 600279, 600293, 600311, 600333?\n\"Answer: 2*w**2 + 4*w + 600263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659567 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55752082937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -424 - -429. Let j be (-13)\/((-56)\/(-84) + a\/(-3)). What is the highest common divisor of j and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -13) + 1870\/(-85).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 97015013121 and 0.1?\nAnswer: 97015013120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/2 + 8*m**3\/3 + 5*m**2 + 3*m + 226. Give p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258040 is divided by 352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014 - 102?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791119.4ns to microseconds.\nAnswer: 791.1194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:02 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47 + 22*y**2 - 48*y**2 - 19*y**2 wrt y?\nAnswer: -90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 90 - 6*t + 5*t + (1 + 0 - 2)*(3*t - 2*t + t).\nAnswer: -4*t + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 9*g - 10. What is the hundreds digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*x + 1176 - 120 = -41*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -536, -526, -472, -374?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 21604*l - 237399. Calculate g(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/25)\/((-5)\/10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 36*c**2 + 42*c - 97. What is b(19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7902 rounded to one decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let n be y(-2). Let z be -3 + (-4)\/n - 4. Let j be (-6)\/z*(1 + 0). Which is bigger: j or 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2346*y - 100930. Determine r(-43).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -33*x**3 - 96*x**2 - 3*x - 14. Calculate l(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 7*b**4 - 2*b**2 + 6*b**3 + 8*b**3 - 12*b**3 in the form t*b + z + i*b**4 + p*b**3 + v*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from eriiqreqideerrir.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k + 820*k + 2610*k.\nAnswer: 3501*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1587899 bigger than -1587897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 14*b + 508. What is o(-31)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 1. Let u(a) = 3*a**3 + 6*a**2 + 7*a - 5. Determine u(p) + 6*x(p).\nAnswer: 3*p**3 + 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5391*z = 841219 - 129607 for z.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 78 = 4*h, -s + 2*s = -1. Let i = h + 15. Let o(z) = 6*z**2 + 6*z + 5. Is o(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/30*1\/(-2)*2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 670401 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.377955 to three dps.\nAnswer: 1.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35055.35t in milligrams?\nAnswer: 35055350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s - 34. Give l(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4381155 and 0.116?\nAnswer: 0.050821398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 1:37 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11343002 + 333?\nAnswer: -11342114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let b(v) = 7*v. Give b(f(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802830?\nAnswer: 2, 3, 5, 7, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822452 is divided by 330.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089342 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -219735 and -219732 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/15 - 394*w\/5 + 1176\/5 = 0 for w.\nAnswer: 3, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203214197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20388460 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98 + 316 + 729 + (4 + 2 - 4)*(-2 - 4 + 4))*(-2*z + 3*z + 3*z) to l*z + n and give l.\nAnswer: 4556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/2 - 7*p**4 - 5*p**3\/2 + 35*p**2 + 2*p - 28 = 0. What is p?\nAnswer: -2, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/4)\/(1\/(-27)). Suppose -5*q + 4*f - 3*f = 116, 0 = -4*q - 5*f - 116. Let s = u + q. Solve s*j + 2*y - 19 = 0, -3*j + 24 = 4*y - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/5 + 2314*a\/5 - 28188 = 0.\nAnswer: -1215, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -34\/68245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y = -66*y - 595. Let t = y + 88. Sort t, 1, -18 in increasing order.\nAnswer: -18, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -15.2. Let v be (-4)\/(-10) - (-4)\/40. Which is the closest to v? (a) p (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 4*f**2 + f + 4. Suppose 3*p = -5*d + 62, 3*d + 14 + 88 = 4*p. Let j = 9 - p. Let w be 2\/(j\/9 - -1). Calculate m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24503)\/916 - ((-22)\/8)\/(5\/20).\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-13)\/(39\/(-15)))*9636\/584?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8117 + 8117.0000007546. Round h to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) -0.4 (c) -5 (d) 48 (e) -10 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27957 <= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**3 + 355*r**2 + 613. Let d(i) = -6*i**3 - 174*i**2 - 307. Let x(w) = 3*a(w) + 5*d(w). Differentiate x(u) wrt u.\nAnswer: 9*u**2 + 390*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = 4*d, 3*s + 2*d = -2*d - 7. Suppose f + s*f = -20. Sort f, 5, 2 in increasing order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 6 + 2)*(-7*s**2 - 6*s**2 + 5*s**2) to a*s + x*s**2 + t and give x.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173*246\/(-617091) + 196\/290*(-2)\/8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4713 * 2\nAnswer: -9426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose p*t + t + 4*s = 540, -5*s - 635 = -5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Let a(b) = 2*b**2 + 4*b - 1. Let n be a(f). Let y = n + -10. Is -4 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.4. Let i = 20\/21 + -2\/7. Sort i, a, 0.06.\nAnswer: a, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y - 17 - 13 - y**2 + 19. Determine w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (585\/(-52))\/((-9990)\/(-90576))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2730 and 5460?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13062 + -13044. Let h(u) = -u**3 + 2*u**2 + 3*u - 2. Let x be h(3). Calculate the remainder when k is divided by (-18)\/(-1 + x) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 6*k**2 + 17*k - 5*k**2 - 6*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 n when three letters picked without replacement from {f: 8, s: 4, n: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 144*c - 3. Let v(y) = 48*y - 1. Let i(n) = -2*b(n) + 7*v(n). Is i(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**4*t**2 + 4536*f**3*t**2 - 869*t**2 + 3*t + 2 wrt f.\nAnswer: 12*f**3*t**2 + 13608*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4080015 = 3*f - 5*n, 5*f - 3*f - n = -2720003. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nojfjfznujjonuo. What is prob of sequence jufn?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8940 = 3850*w - 3910*w. Put w, 28, -1 in decreasing order.\nAnswer: w, 28, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/61 + 1\/183. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iooz when four letters picked without replacement from zooiooooooooxoozioog.\nAnswer: 91\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Suppose 5*o - c = 13, -m*c + 5 = 5*o - 20. Suppose v + o*i = 18, -3*v + i + 64 = -0*i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/30 + k**3\/6 + 4*k**2 + 4. Give j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -513, -525, -537, -549?\n\"Answer: -12*d - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 1630*d**2 - 8088*d - 9720.\nAnswer: -2*(d - 810)*(d - 6)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/((-4914)\/(-72))*(-28)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1387, 1349, 1269, 1129, 911, 597?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 130 = -5*p. Let s = -87 + 102. Calculate the remainder when p is divided by (-9)\/s*-1 + 268\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1 (c) 4 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a + 0*a + 17*a + 4*a to u*a + b and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 195900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 43.1. Which is the nearest to d? (a) -0.2 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 3*z + 67 - 35 - 32.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 97*s = -1364. Solve 2*r - 18*k + s*k = -6, 4*r + 4*k = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let g be (10\/5)\/(w - 0). Let l = g + 33. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.9. Let g = 661 - 5951\/9. Which is the closest to x? (a) 0.2 (b) 9\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31382 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9589700 and 1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 1885*c - 77 = 4*g - 1883*c + 109, 16*g + 754 = 2*c for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 13488 = -4*v, 3*v + 4*j + 3496 = 13612. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94785*j - 5231.\nAnswer: 94785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((-2*sqrt(243) - sqrt(243))*-1*-1)**2 + 5 + -3.\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 44*p - 11. Let g be v(7). Let o = -63 + g. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b - 939 + 994 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 - 4*h - 6 - 2*h**2 - 2. Let r be a(-2). Let i be 306\/85 - r\/(-5). Solve -4*k + 8 = i*s - 0*k, -s - k = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:44 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (-14 - 26)*2\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 times 238898?\nAnswer: 177979010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 7*x + 3. What is the remainder when y(-6) is divided by 12\/(-54) - 29\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Suppose 0 = -2*y - 2*h, 0 = -y + 3*h - 0*h - 4. Let f(k) = 2*k - 4. Let q = -9 + 4. Give q*u(o) + y*f(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-14 + 0) - (-1 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(425) + 1.\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681 = 6*u - 633 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by -487.\nAnswer: 459\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/12 - 6\/24. Is i not equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -599, -1343, -2385, -3725, -5363, -7299?\nAnswer: -9533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265236?\nAnswer: 2, 7, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 - 2. Suppose -3*s - 5*x = -31, -1 - 4 = -5*s + x. Suppose -s*u = -u. Calculate z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-20) + (-26)\/(-364) + (-446)\/1736\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -5*-4*sqrt(170))\/(-2*sqrt(250) + sqrt(250)).\nAnswer: 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 94 = 3*o, -5*o + o + 3*u = -118. Suppose -11*q + 522 = -5*q. Is 29 a factor of (q\/6)\/(-1*(-2)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 14) to base 9.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.283, -4.5, 1 in decreasing order.\nAnswer: 1, 0.283, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 312158787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1039389197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + y**4 - y**2 - 73*y + 90 - 88 to z*y**2 + u*y + k + x*y**4 + l*y**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-1785))\/((-3)\/(-7) + 564\/(-3948))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.045 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:15 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.68 + -9.74. Let k = v - -25. Let a = 0.42000085 + k. What is a rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4973.\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -56. What is the second derivative of -4*q + 2 + 13*q**2 + 69*q**2 - 44*q**p wrt q?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*x = -10, 7 = -r + 2*x + 3. Suppose -t + 2*g + 4 = r, -g - g = t - 24. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 4)*(2*i + i - i) - i - 2*i + 2*i - 24*i - 23*i + 74*i)*(0*i**2 - i**2 + 3*i**2) to the form g*i + o + n*i**3 + m*i**2 and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2 - 4614*m - 208824 = 0?\nAnswer: -44, 1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by -113023\nAnswer: 348\/113023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/49 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25589197.\nAnswer: 47, 544451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1030\/3*w - 4637\/3*w**2 + 3614\/3*w**3 - 7\/3*w**4 = 0. What is w?\nAnswer: 0, 2\/7, 1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2755041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l - 2*x, 0 = -3*l - 2*l - 4*x - 2. Let t(v) = 0*v**2 + 4*v - 10*v**2 + 7*v**2 + 4*v**2 + l. Is t(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**3 - 58*w**2 - 156*w - 80.\nAnswer: -2*(w + 4)*(w + 5)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -841.71774 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -6. Suppose -14*g = -q*g + 110. Let j(l) = -l**2 + 22*l + 27. Let m be j(23). Sort m, g, -1.\nAnswer: g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011111011111111001 (base 2) to base 10.\nAnswer: -1177593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 687 + -627.8. Round o to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362850214 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, 16, -86\/17 in increasing order.\nAnswer: -86\/17, 16, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 321 = -2*z + 1149. What is the highest common factor of z and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 7*o - 1. Let x(k) = -2*k**2 - 10*k - 2. Let y be x(-4). What is b(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*c + 4290 = 377*c + 396*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + -3 + (-3756)\/(-645) - 279\/(-1395)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**6\/180 + a**4\/6 - a**3\/3 - 4. Let x(y) be the third derivative of l(y). What is the first derivative of x(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 15*x. Let j(n) = 731982*n. What is j(b(q))?\nAnswer: -1463964*q**2 + 10979730*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.08 (b) 9\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 257620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(15) + (sqrt(15) + -1*sqrt(15) - sqrt(15)) - sqrt(15))\/sqrt(5) - (-3 + (sqrt(147) - (sqrt(147) + -5))))**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519943 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -259617684*k**2 + 17878249 wrt k.\nAnswer: -519235368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001479738 rounded to 6 dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 20, -4*u = 11*y - 6*y - 2363. Suppose 17*w = 14*w + u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 49 - 27*s - 6*s.\nAnswer: -44*s + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-4 + sqrt(65) + sqrt(65))\/sqrt(5).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 291112*d**2 + 2*d - 14. Let p(s) = 145556*s**2 + s - 7. Let r(y) = 11*p(y) - 6*t(y). Let w be r(3). What is w rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11086429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 15) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.457 take away -339?\nAnswer: 269.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((2\/(-268))\/(-1)). Which is smaller: -137 or t?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 8315\nAnswer: -8315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 + 41444?\nAnswer: 41244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43779, 1, 6 in decreasing order.\nAnswer: 6, 1, -43779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 12. Suppose -x + 2*f + 8 = 0, -4*x - 5 = 2*f + 3. Give a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82ac + -3?\nAnswer: 82a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/4))**(-18\/7)*(r*(r*r**3)\/r)\/(r\/(r*r**(-4\/3)))*((r**(-1)\/r)**1)**(4\/11) assuming r is positive.\nAnswer: r**(-589\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*x - 1670 = -37*x. Let g(z) = z + 1. Let w be g(1). Suppose n = 7 - w. What is the least common multiple of n and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f**3 + 262*f**3 - 4281*f**3.\nAnswer: -3871*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 564*z - 569*z + 45 = -2*b, 4*b - 2*z = -66 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 272*w + 799. Calculate x(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 293*b**2 - 1715*b + 331882. Calculate w(295).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -1, 2 in descending order.\nAnswer: 2, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 + 91*t**2 - 207*t + 100. Calculate i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1046773, 2.\nAnswer: -1046773, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*i = -6*r - 5, 0 = 5*i - 20. Suppose u = 6*u + r. Is u <= -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37 = -8. Suppose 3*l + 8 = -2*i + 22, 0 = 4*l - i - y. Suppose -1501 = -2*b + 3*t, 0*b + l*t = -b + 723. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/4, 2, 0.1, 65385?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.138 - -1.238. What is the second smallest value in 45, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.24 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104124 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002221 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 2*g + 2*g + 3*g**4 + 2*g**4 + 0*g**4 + (2*g**2 + g**4 - 2*g**2)*(-5 + 3 + 1) + 2*g**4 + 1 - 2 - 3.\nAnswer: 9*g**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 5. Suppose -3*d + 8 = -r. Solve -d*u - 2*i - 21 = 0, 0 = -2*u + i - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {h: 11, a: 1, o: 2, b: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17189 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 13664*c**3 - 185320*c**2 + 100964*c - 13260 = 0.\nAnswer: 3\/14, 85\/244, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.8751 micrometers in millimeters?\nAnswer: 0.2418751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288))\/(sqrt(36)\/(sqrt(6)*2)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 15*k - 5866. Let v(z) = -z. Determine v(o(r)).\nAnswer: 2*r**2 + 15*r + 5866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -2, -0.57, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -172286*v + 1721. Is s(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - (19\/5 + (-2)\/(-10)). What is the highest common divisor of 86 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754 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: What is the square root of 727119 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -631*t**6\/10 - 187*t**5\/3 - 3286*t**2. Find the third derivative of w(q) wrt q.\nAnswer: -45432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2325)\/620*(-12)\/(-3)*2\/12?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*t = -4*y + 583*t, y = 5*t. Let j(p) = p**3 - 7*p**2 + 9*p - 13. Let v be j(6). Solve 4*h - 4*o - o + 26 = 0, y = -v*h + 5*o - 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17288297269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (((42 - -3) + 12 - 4) + 0 + -2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/((80\/8)\/70)*107\/(-321).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 - y - 2*y**4 + 2 + 60*y + 13*y**3 - 56*y to q*y**2 + k*y**3 + u*y + i*y**4 + n and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkowkazaak. Give prob of sequence kkoz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011057359 to 6 decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 101322?\nAnswer: -101314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + sqrt(13)*-3)**2 - (-4*sqrt(78))\/sqrt(6).\nAnswer: 4*sqrt(13) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a08496 + 4?\nAnswer: -3a08492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7)*n**(-1))**(-1\/4) assuming n is positive.\nAnswer: n**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 3*a)*(-17*a - 42 + 42) to u + p*a**2 + g*a and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 21*h**2 + 2. Determine m(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32275 divided by -181\nAnswer: -32275\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 8*o**2 - o - 8. Let g be p(-8). Suppose g*y = 4*y. Suppose -3*k + 9 + y = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y\/y**(-5\/3))**(2\/19) assuming y is positive.\nAnswer: y**(16\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -5*w, -46*t + 64 = -42*t + 2*w. What is the remainder when 83 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 2\/(-2))\/1. Let k be (4\/(-1))\/(3\/6). Let a = k - -12. Solve -j - a*j = -4*s - 9, 0 = -q*s + 3*j - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14898 divided by 1146\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.29511 to two dps.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-4) + 3\/12. Suppose 0 = d*s - 8, 16583 - 5075 = 5*i + 2*s. Let r be (-1)\/((-3)\/i)*3. What is r rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310203 (base 4) to base 8.\nAnswer: 16443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 344 divided by -1\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4180.64 millennia to centuries.\nAnswer: 41806.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 13*l**2 + 11*l - 48. Give a(-6).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 1, -2, 6\/7, -0.2, -0.067?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 58395.\nAnswer: 408765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1094333199 and -2019?\nAnswer: 1094331180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -3, -2, 75\/8, 4, 16, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + 13*a - 56. Let z be d(0). Let x be 31 + (z\/(-12) - 6\/9). Solve t - 8 = -k, 5*t + 0*k - x = -4*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49042\/18 - ((-760)\/90)\/19 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let u(x) be the second derivative of -x**4\/4 + 2*x**2 - 4*x. Let t(g) = g**2 - 1. Let m(b) = 4*t(b) + u(b). What is m(c(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 48 = -4*t, 4*f = -t - 0*t - 3. Suppose 0 = -t*p + 11*p - 10. Solve 3*s + p*h - 35 = -2*s, 5*h = 5*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 2, -4, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -129534800 to the nearest one hundred thousand.\nAnswer: -129500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/15 + 2\/5. Let t = 61 - 73.4. Let c = -17.4 - t. What is the nearest to -2 in l, c, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 11. Determine u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-88.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 + 378. Let y = -116 + a. Sort 4, 1, y, -2.\nAnswer: -2, 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -429759*c + 7623. Let a(n) = -790*n + 14. What is -1089*a(o) + 2*x(o)?\nAnswer: 792*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 72*w**2 - 95*w + 780. Let q be j(37). Let p(m) be the second derivative of -4*m + 14\/3*m**q - 1\/2*m**2 + 0. Differentiate p(l) wrt l.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/((40\/(-75))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -1041?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 + 4*t - 1. Let g be w(3). What is the remainder when (-85)\/10*(-4)\/g is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + d - 4*d = 6191, d + 4637 = -3*r. Let g = 10809\/7 + r. Factor 5\/7*t + 3\/7*t**2 + 2\/7 - 1\/7*t**3 - g*t**4.\nAnswer: -(t - 2)*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -i + 10, 3*i - 6 = 2*w + 4*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o)*(-18*o**3 + 7 - 7) + 7*o**4 - 1 + 1.\nAnswer: -29*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09607 or 5231?\nAnswer: 0.09607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 68 = 4*x + 113 - 58, -4*r + 5*x = 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -68. Let h = 159 - v. Suppose -84 = -4*r + p - 2, -p + h = 3*r. Which is bigger: r or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136873 or 136933?\nAnswer: 136873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/((-10)\/6))\/(-3). Let s be g\/(3*4\/12). Sort -3, s, -7 in ascending order.\nAnswer: -7, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - -84?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -448b - -78?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4 + 4 + 15 - 17*f + 132*f**2 - 131*f**2. Let r be p(15). Sort r, -2, 4 in decreasing order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**3\/3 - 5*y**2 + 2*y - 17. Suppose 2*g + 6 = -14. Let w be n(g). Is w not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-8)\/(-64) - (-5276)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-1*sqrt(80) + sqrt(80) - sqrt(80)))**2 + 4.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 + 257*w**2 + 16640*w + 16384 = 0?\nAnswer: -128, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.28, 0, -3\/2, 0.5 in decreasing order.\nAnswer: 1.28, 0.5, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -35*i - 33. Is q(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46531.00005 + 46532. Let k = 12 + -13. Let l = k + f. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + b + 38 = 0, 2*p + 2*b + 36 = 4*p. Let k(l) = -p*l**2 + 13*l**2 - 9*l**2. Let r(n) = n. Determine r(k(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -17\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14344 and 1\/10?\nAnswer: 71720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = a + 2*k - 19, 77 = a - 3*k. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 2*y**3 - 2*y**3 + 1 + 15*y - y**3 - 15*y + (-1 + 3 + 0)*(-y + y + y**3).\nAnswer: -3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -91?\nAnswer: -125\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267 + (144 - 426) + (2 - (2 - (-60 + 1)))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2529*k + 2 + 1309*k + 2 to a*k + f and give a.\nAnswer: 3838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 1. Let k(d) be the first derivative of -d**3\/3 - 8*d**2 - 4*d + 380. Let y(x) = -k(x) - 4*r(x). Let a(p) = 2*p + 5*p - 3*p. Give y(a(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 143?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817927363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5 + 2. Suppose y - 8 + g = 0. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-30))\/(17\/(204\/8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 25913.\nAnswer: -25916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 288\/12 - (17 + 180\/6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 12*a - 23*a)*(-39*a**2 + 14*a**2 + 9*a**2).\nAnswer: 272*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Suppose q - m = 8. What is the highest common divisor of 99 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Let v = c - 6. Is -0.3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001612 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 174825619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k - 74. What is d(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = 9. Let f(h) = h**2 + 6*h + 7. List the prime factors of f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3047708 - 1229.8686292. Let v = w + 1230. Let q = v + 0.225. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f - 139. Let d be m(13). Let u be ((-3 + 6362503)\/(-5))\/(d\/48). Round u to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*a + 8 + 0 + 154*a)*(-4 + 4 + a).\nAnswer: 3*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14018 (base 16) to base 7.\nAnswer: 460622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 310 + -58. Let w be 3\/(-9) - 382\/(-6) - (-18)\/(-54). What is the highest common factor of d and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 739*n + 20813. Determine r(-29).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b + 856 = 0. Suppose -7*m + 6*m = -b. Let q = m + -315. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z + 46. Let r(b) = 3*b + 23. Give -4*n(o) + 9*r(o).\nAnswer: 3*o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.11 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 704.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 7. Suppose 0 = -5*a + m + 3, -2*a - 5 - 3 = -5*m. Suppose -h + a + 2 = 0. What is the greatest common factor of h and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-17)\/(-102) - (-172669)\/(-6)) + 3. Let u = y + -195225. What is u rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 749 = -f, 1177 = f - n + 412. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4906 and 531.45078.\nAnswer: -4374.54922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1008) - sqrt(63))\/(sqrt(81)\/sqrt(36)).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -922 divided by 105\nAnswer: -922\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(1\/294*(-14190)\/(-2365)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*t + 50, 2*t + 3*u + 0*u = -15. Let q(a) = -30*a - 220. List the prime factors of q(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*6\/(27\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let x(j) = j + 8. Let c be x(-3). Suppose -3 = -k - s, -6 = c*k + s - 1. What are the prime factors of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185267544 divided by -609\nAnswer: 304216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -31. Solve -m + 5*n = m + j, 2*n = m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + 9*p - 18. Let t be w(4). Let l = t + 13. Suppose 68 = -l*a - 2*a. Does -6 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 31\/4 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + -2 + 1. Let a(p) be the second derivative of -p**4\/12 + p**3\/6 + 3*p**2 + 7*p. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 65*c - 389. Determine a(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.7. Let i be (84\/8)\/(-3)*(-40)\/1. Let r = i + -702\/5. Which is the closest to -1? (a) r (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(-9))*36\/108\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 19*r + 17*r)*(-5*r**2 + 5*r**2 + r**2 + (4*r - 2*r - 3*r)*(21*r + 30 - 30)).\nAnswer: 460*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1137*l + 372934. Give d(328).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -4*c, 12*c + 12 = 8*c - 5*n. Solve -71*i + 74*i - 4 = 2*d, -c*i = 3*d + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 251193 + 2.\nAnswer: 251195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2001780 and 5049.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7992)\/(-112 - -4) + 10.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/33)\/z**(-2\/17))\/(z**(-4\/5))**(-1\/13) assuming z is positive.\nAnswer: z**(-164\/36465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 7796 = -125*x - 554 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 - 2.1. Let z = 1.6 - s. Which is the nearest to -0.1? (a) 2 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 2. Let o = m - -24.3. Let i = -3 - -2. Which is the closest to o? (a) -3\/2 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208 - 223 + 0*o**3 + 2*o**3.\nAnswer: 2*o**3 + 985","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 11 = -3*n + 3, -3*n + 6 = 0. What is the derivative of t**4 + u + 0 + 3 + 0*t**4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010377 to 5 dps.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 8. Let q(k) = -1. Let d(h) = 8*q(h) - w(h). Let n(j) = 23*j + 143. Let p(o) = -11*o - 78. Let z(r) = 6*n(r) + 11*p(r). Calculate d(z(l)).\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2490, 4974, 7454, 9930, 12402?\nAnswer: 14870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -28*t**6\/15 + t**5\/20 + 34*t**3\/3 + t**2\/2 + 174*t. What is the second derivative of y(m) wrt m?\nAnswer: -672*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-2))\/(1\/2). Let x = 10 - 10. Solve 4*t + h = -g, x = 3*g + t + 10 + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-seven quarters of a kilometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-28)\/(-8))*6. Let f be (-7)\/(-2)*(w - -11). Suppose 0 = v - 7 - f. Solve 0 = -5*l + v + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-1)\/(-9) - 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13700 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937860172?\nAnswer: 2, 484465043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69768 + -10883699\/156. What is the common denominator of 17\/16 and i?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.029 - -2.729. Let m = h + -1. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*19\/((-1748)\/(-3243))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5400 + 4454 = 2*h - 4*t, 2*t = -2. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519113740 to the nearest integer?\nAnswer: 22784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 105551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, c: 4, q: 7}. Give prob of picking 3 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**25))\/(u**(-24)\/u)*u\/u**(1\/27)*u\/(u\/u**(-21))*u assuming u is positive.\nAnswer: u**(-514\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/4 + (-897)\/(-7). What is the remainder when p + 35 - 1*-1 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*u**4 + 172*u**3 - 2*u - 26102?\nAnswer: -576*u**2 + 1032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 197 = -3353. What are the prime factors of i?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2850 divided by -5.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*l - 23. Suppose 2*w = -2*p + 544, w + 846 = 3*p - l*w. What is p rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 30*v. Let w(x) = -5*x. Suppose -2*i + 20 = 3*i + 5*q, 4*i = 3*q - 19. Let o be 4\/i - 70\/(2 + -9). Determine o*k(h) + 35*w(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-26)\/d*d**(-2\/5)*(d*d*d**(-5\/12)*d*d)\/(d\/(d\/(d\/((((d*(d*((((d*d**(-2\/17)*d)\/d)\/d)\/d*d)\/d*d)\/d*d*d)\/d)\/d)\/d*d)))) assuming d is positive.\nAnswer: d**(-24413\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 1332*q**4 - 10437*q**3 - 11772*q**2 = 0. What is q?\nAnswer: -1, 0, 9, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 3 = -2*l - 3*j, -4*j + 16 = 0. Solve 0 = 2*m + l + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 1. Let f be (-2)\/5 - (-92)\/5. Let a be (f\/4)\/(3\/6). Suppose 0 = w - a + 3. Let n(j) = -5*j**2 - 6*j + 6. Give w*r(u) + n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**5\/5 + b**4\/4 - b**3\/6 + 2*b. Determine v so that a(v) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 85.99999836. What is u rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 - n + 10. Suppose 7*w + 24 = 3*w + 2*b, 2*b = w + 6. What is the remainder when o(w) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 1. Let y(q) = -6*q. Let p(n) = 7*k(n) + 6*y(n). What is p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32312 (base 5) to base 3.\nAnswer: 10000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 71 (b) 8 (c) -1\/1451 (d) 0.4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39121 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 57. Let k be (6\/(-35))\/(3*t\/135). Factor k*g**4 + 3\/7*g**3 + 0*g - 3\/7*g**2 + 0.\nAnswer: 3*g**2*(g + 1)*(2*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**4 + 1007*x**3 - 30099*x**2 wrt x?\nAnswer: 96*x + 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) - (6 + -7). Suppose c*s + 37 = 65. What is the highest common divisor of s and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 15. Let u(t) = -2790*t**2 + 496*t - 5208. Let f(h) = 248*q(h) - u(h). Differentiate f(o) wrt o.\nAnswer: 5580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 - -172. Let r(q) = 3*q. Let p(o) = o**2 + 2*o. Let m(a) = u*p(a) - 6*r(a). Let z(f) be the first derivative of f**2\/2 - 6. Give z(m(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 8, 18, 32, 50?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m = 121*m - 52. Solve -15 = -3*k + 4*b, 68 = 5*k + m*b + 69 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/(-4))\/11)\/(((182\/13)\/112)\/(-25)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = 3*a. Suppose -4 = -n - 5. Let y = 167\/28 - 40\/7. Sort a, y, n in descending order.\nAnswer: a, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*b + 4 - 102. Solve -4*v - 4*t - 28 = -0*v, -b = 4*v - 5*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828927027 by 2.\nAnswer: 828927027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/18 and 143\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 1 - 3*s + s**2 - 2*s**2 as k + m*s + x*s**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 5, i: 5, t: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 54 = -7*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*c - 102, 0 = f + 2*c - 3*c - 36. Solve -f = 2*h - 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x + 0*x)*(1 + 0*x**2 - 3*x**2 + 4*x**2) - 2*x**5 + 1 - 1.\nAnswer: -x**5 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - -97 - (5 + -3 + 0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 271885 (base 10) in base 9?\nAnswer: 453854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10448740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 536817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 + 33013*p - 412718 with respect to p.\nAnswer: -6*p**2 + 33013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 12*y**2 + 86*y - 92. Calculate l(11).\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*u + 29. Suppose 5*h - u = 3*p, -3*p + 2*p = 4*h - 14. Solve 0 = -d - h*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/275 and -22\/60148875.\nAnswer: 661637625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.046 - 0.046. Let w = 48.4 - r. Round w to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4 + 80. Suppose -3*y - 5*v + p - 31 = 0, -y = v - 13. Solve 5*d - 5 = -0*d, 0 = 3*f - 4*d + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/7))\/f**(1\/4)*f**(-3\/7)*f*f*f**6)\/(((f*f**(-1\/2)*f)\/(f\/(f\/(f**(4\/7)\/f))*f))\/(f**(2\/5)\/f)**(4\/21)) assuming f is positive.\nAnswer: f**(999\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39425039 is divided by 19712509.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*s + 209 = -2051 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194028 and 7653894.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -4. Let i = m + 60. Let p be 19\/(-15) + (-6)\/(-10). Which is the nearest to -1\/4? (a) p (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 7492320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - h - 11 = 0, 5*n + 4*h = 7*n - 26. Solve -n*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -287477671 or -287477670?\nAnswer: -287477670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003943 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130 - 649*k**3 + 16*k**2 - 401*k**2 + 130 - 4*k**2 wrt k?\nAnswer: -3894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 587173152651 and -0.4.\nAnswer: 587173152650.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44490469.\nAnswer: 44490469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**2 - 129*r**2 - 43*r**2 + 244*r**2 - 42*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -445724*j + 383266 wrt j?\nAnswer: -445724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 81488*j + 325965. Calculate i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 247 = -d - 251, 5*d + 2*p - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*u + 257 = 271, a - 5*u - 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002202220210 (base 3) to base 4.\nAnswer: -10100310321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 162*f**3 + 254*f - 1009. What are the prime factors of b(4)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7455)\/(-142) + -56 - 43\/(-18)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0585? (a) -5 (b) 7\/8 (c) 0 (d) 3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -345. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6678 - -0.8678. Which is the biggest value? (a) w (b) 0.1 (c) 4\/3 (d) -0.01 (e) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/28 in 0.49, 0.2, 16, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + z**2 - z**3 + 23 - 29 in the form w*z + o*z**3 + a + j*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5191\/1756?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb7 (base 14) in base 11?\nAnswer: 3a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -26de4?\nAnswer: -26de9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + -2 + -2) - (101 - (-29 + 60))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-636840)\/2196*(-2)\/10.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 75 = -b - 79, -5*x + 5*b + 150 = 0. Suppose d - x = -0*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*w = -118388 - 18775, -2*a = w - 91437. Let k = -91318 + a. Let q be k\/4 - (-2)\/8. Round q to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9400\/12)\/((-4)\/48). What is h rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -25 - (-7 + (1 - 3))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(432) + 0 + sqrt(432)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -1705*u**3\/6 + 84*u - 17. Let m(r) = -2*r**2. What is g(m(f))?\nAnswer: 3410*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (2 + -1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*c**5 + 9514164*c**4 + 113702852*c**3 + 336835392*c**2 - 17127216*c = 0. What is c?\nAnswer: -6, 0, 1\/20, 118939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 10861977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, -3, 1, -4\/3.\nAnswer: -22, -5, -3, -4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10488819 divided by -341.\nAnswer: -30759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31010 - 222?\nAnswer: -31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 35*z = -68*z + 31*z - 92, 0 = 4*w + 13*z + 655 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -770, -1310, -1608, -1400, -422, 1590?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 4*b + 3. Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 591 (b) 3 (c) 6 (d) -0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**3 + 10*f**2 + 14*f + 54. Let x(b) = -9*b**3 - 12*b**2 - 15*b - 55. Let v(s) = -5*x(s) - 6*y(s). Is v(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.65 * 4.\nAnswer: -38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26182 divided by -49\nAnswer: -26182\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3503*f**2 - 3499*f**2 + 7005*f**2. Let y(k) = -6*k**2. Determine i(y(w)).\nAnswer: 108*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15338876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/165*55\/10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000617997 to 7 dps.\nAnswer: 0.0000618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20790 by -1485.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1324710 and 85664580?\nAnswer: 256993740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2. Let x(c) = -2*c**2 - 69*c + 1022. Determine x(q(l)).\nAnswer: -8*l**4 - 138*l**2 + 1022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96 or -454?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 2, n: 1, g: 1, a: 4}. What is prob of sequence ngdd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 293 and 8497?\nAnswer: 8497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3807 times -0.2\nAnswer: -761.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Suppose -4*l = 4*s + 8, 0 = -4*l - 3*s - i*s - 4. Find the first derivative of -10*b**4 + b**4 - 17 + l*b**4 wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 3. Let w(n) = 8*n - 4. Let z(g) = -w(g) - 5*x(g). What is z(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 238, 501, 788, 1099, 1434, 1793, 2176?\n\"Answer: 12*p**2 + 227*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -163324b (base 12) to base 14\nAnswer: -864d75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -2450.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 2*o + 18. What is the smallest common multiple of c(0) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/37, -3\/4, 269\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87731 = 4740*v - 5797*v for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 3*v**3 - 15*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let y be w*(-2)\/((-16)\/20). Solve 0 = -y*p + 8 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419337?\nAnswer: 3, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 3)*(-4*i**2 + 3*i**2 - i**2 + 2*i)*(-9*i**2 - 7*i + 7*i).\nAnswer: -54*i**4 + 54*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9995556.22 rounded to the nearest one thousand?\nAnswer: -9996000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 + 623?\nAnswer: 5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.73, 2\/99, -2, -3, -3\/8?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/5))**(-33)\/(j\/(j\/(j**2\/j)*j*j))**48*((j*j**(-2\/19))\/j**4)\/((j*j**0*j)\/j)**(1\/55) assuming j is positive.\nAnswer: j**(-1383\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4 + 1 + (11860\/(-1400) - -12)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 23*c**7\/7 + c**4\/4 - 102*c**3 + 2*c - 577. Find the third derivative of m(l) wrt l.\nAnswer: 2760*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 4*a + 14 = 0, -a + 3 = 0. Let n be 11\/(-22)*-2*o. What is the third derivative of -n*l**3 + l**3 - 18*l**2 - 11*l**3 wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48430414 and -2.\nAnswer: -96860828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.64 - 0.45. Let z = 0.09 - s. What is the closest to 0.15 in 2, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637658998 is divided by 6600?\nAnswer: 6598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -1 + (1 - 3). Let l = -13 - a. Round l to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 + 10*h**3 + 120*h**2 - 115*h + 48 wrt h.\nAnswer: 12*h**2 + 60*h + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.824 - -36. Let m = 69443.824113 - 69444. Let q = m + r. What is q rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-1 - -9) + 76 - (50 + -63)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-12\/11)*n*(n**(-3\/10)*n)\/n*n*(n\/(n*n\/n**(-4\/13))*n)\/n**(-23))**(-1\/5) assuming n is positive.\nAnswer: n**(-37611\/7150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 406147.8 years?\nAnswer: 4873773.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 39. Suppose b = 2*b - 1. Let m be 6 + (b + w - -1). Solve d - 3*t + 0 = 4, -2*t = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18746238, 37492476, 56238716, 74984958, 93731202, 112477448?\nAnswer: 131223696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 + 0*h - 6*h + 4*h)*((-16*h**2 - 67*h + 67*h)*(-16 + 16 - 4*h) - 4*h**3 + h**3 + 5*h**3).\nAnswer: 330*h**5 - 132*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-124)\/4 - (-8)\/4. Let a = p - -74. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 133. Suppose 3*l = r, 5*l = 4*o - 1075 - 3971. List the prime factors of o.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106680 and 782955.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*v - 480 = 0, 3*c - 4*c = -5*v - 73. Suppose 5*j + g - 216 = 3*g, 2*j - c = -5*g. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:52 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 2894?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2170 and 51484769?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 + 0 + 4. Suppose t + 0*t - 1 = 0. Let b(p) = -1 + t + 4*p**v. Let x(n) = n. What is b(x(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.09\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/30 - 2*v**2. Let g(a) be the second derivative of a**3\/3 - 10*a - 2. Determine i(g(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66995077 take away -0.1?\nAnswer: -66995076.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, 2, 0.1, -13\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:50 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 122. Let a(o) = 67*o**2 + 14*o + 2. Is a(n) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 1\/4, 302450, 0.032?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:05 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 - 57 = 33*p. Let m(v) = v**2 - v + 1. Let t(d) = d**3 + 2*d**2 - 2*d + 2. Calculate p*m(n) - 5*t(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-1)\/1 - 1). Suppose -4*y + 5*y = d. Let w(g) = g**3 + g**2 - 2*g - 1. Let l(j) = j**3 + j**2 - j + 1. Let u(v) = 2*l(v) - w(v). Give u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2688336.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111570 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -157*r - 940. Let x be o(-6). Sort -4, x, 14 in descending order.\nAnswer: 14, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b - 2*p, 0*b - 3*b - 5*p = 0. Suppose -5*j + 2*t = -90, -4 = j + b*t - t. Let d = -3 + j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*p - 197*p = 0. Let z(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r - 3\/20*r**5 + 5*r**2 + p. Let c(a) = 2*a**2. What is c(z(i))?\nAnswer: 162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-195))\/(((-384)\/(-59700))\/(-16)). Which is smaller: d or -460?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 519929, 520863, 522421, 524603, 527409?\n\"Answer: 312*k**2 - 2*k + 519619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11221*h**3 + 441*h**2 + 441*h + 441. Let l(x) = -244*x**2 + 385*x**3 - 2*x + 242*x**2 - 334*x**3 - 2. Calculate -2*i(p) - 441*l(p).\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 9*d + 2. Let s = 21 - 18. Suppose -s*w = w - 44. Let k(b) = -b**2 + 12*b - 3. Let a be k(w). Determine t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 - 1.62. What is the third biggest value in 2\/3, c, -1\/2, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2592) + (sqrt(2592) - sqrt(2592)*-1)*-3 + -3)**2.\nAnswer: -720*sqrt(2) + 64804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 78*y**2 + 60*y + 56. What is o(-1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:33 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12.005. What is f rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**3*r**2*x + 6*l**3*x**3 + l**3*x - l**2 + l*r**2*x**3 - 4*l*r + 10*r**2 wrt l?\nAnswer: -30*r**2*x + 36*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 302548809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158.6 - -158.7. Let q = 1 + -0.7. Let s be ((-2)\/3*-3)\/(-6). Which is the closest to s? (a) -0.1 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-8*(-45)\/432)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/520 and 31\/22256.\nAnswer: 111280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2967, -4626, -6285, -7944?\n\"Answer: -1659*y - 1308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3703, -13864, -30481, -53554, -83083, -119068, -161509?\nAnswer: -210406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/8))**(-17)*j**(9\/2)\/j**(2\/9))**(-42) assuming j is positive.\nAnswer: j**(-3227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/295 and 123\/590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d - 13301*d**3 + 13299*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.051 + -1.064992. What is f rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6881 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -36*(1 - 5)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41690 and 2218?\nAnswer: 46234210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 - u - 3. Let a be k(-6). Suppose y + a*d + 21 = 3*y, d + 27 = 2*y. Suppose 10*x = y*x - 265. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9947820 divided by -2?\nAnswer: 4973910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 673885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32e5 (base 15) to base 10\nAnswer: -10790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3080 by 1540.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = -4*r + 710, -3*r + 4*n + 545 = 0. Suppose 5*s - 575 = 5*x, -2*s = -3*x - r - 46. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, p: 2, a: 1, t: 1, j: 2}. Give prob of picking 1 t and 2 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.484 + -13.6. Let m = c + 0.116. Which is greater: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 6. Let p = j + 8. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 484 and -1.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/((-3)\/9). Let x(l) be the first derivative of 3\/2*l**2 + 3 - 3*l. Determine x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:23 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2416 + -1668. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -115*f**3 - 2567475*f**2 - 14330110545*f + 1869188535 = 0?\nAnswer: -11163, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3+11.73\nAnswer: 14.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 + -5 - (2860\/(-140) - -19)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 5220*o**3 + 1050660*o**2 + 163192320*o + 4598415360 = 0.\nAnswer: -66, -42, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015263303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -27*g**2. Let t(s) = s**2. Give k(t(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) 13 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7087 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -6\/108509, -0.1, 5?\nAnswer: -6\/108509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - m + 1 + 1)*(0*m - m + 0*m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 286, 56, -342, -920, -1690?\n\"Answer: -2*t**3 - 72*t**2 + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:07 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 + 3244*y**3 + 1285794*y**2 - 24150640*y + 22861600 = 0.\nAnswer: -820, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 43*b**2 + 3*b + 6. What is the units digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4055 + 64973\/16. Find the common denominator of 140\/72*38\/10 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-29)\/(145\/(-20)))*1*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 2517 = 980. What is the nearest to w in -2, 2\/7, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52811 is divided by 324?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 31 = 5*h. Let c(v) = v. What is the tens digit of c(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 10*a**2 - a - 8. Let g be s(9). Suppose 5*z = -0*c + 2*c + g, 8 = -4*c. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 3, l: 5, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16601*g**2 - 8172*g**2 - 8429*g**2 - 34*g**3.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-5.4.\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:00 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239431316.\nAnswer: 2, 3, 79, 1307417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132252 - -132257. Suppose 55 = 3*q + p, 4*q = -p + 48 + 25. Is q at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1640 + 1635. Sort 21, 0, y, 0.5.\nAnswer: y, 0, 0.5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 46. Let p be ((-1)\/m)\/((-1)\/(-2))*-59. What is the smallest value in 0.5, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637904784 to the power of 1\/3, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**3\/7 + 80*c**2\/7 + 92*c\/7 + 24\/7.\nAnswer: -4*(c - 6)*(2*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86.91 - -46.82. Let w = b - -40. What is the second biggest value in w, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 12:04 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -8*l + 5. Let d(k) = -k + 1 - k - k. What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087 times 0.02?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3370 - 3371. Sort b, -35, 4, -4, 3 in increasing order.\nAnswer: -35, -4, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 122322?\nAnswer: 366966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 1023036?\nAnswer: 1023035.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -230 + 245. Suppose 2 = 4*j - 3*j. What is the second derivative of 3*m + 2*m**3 - 4*m**c + j*m**3 - 6*m**3 wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0259 * -105\nAnswer: 2.7195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0.4, -96\/233, -4, 0 in increasing order.\nAnswer: -4, -2, -96\/233, 0, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -15, 1\/11, 2\/5, 0.08?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9.1 * 4090\nAnswer: 37219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - 350 + 175 + 4*t.\nAnswer: 4*t + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -490*q**2 - 1021*q - 898*q**2 + 677*q**2 wrt q?\nAnswer: -1422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + 10 + 10 - (4 - 102)) + -11 + 1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2300\/(-360))\/(-115)*-2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 4)*(-2*m - 2*m + 3*m)*(12*m - 10*m + 1 + 4) to the form o*m + t*m**2 + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 2912*s - 20*s**3 + 2925*s + 2921*s + 2918*s - 11676*s.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453455 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507948, -1015899, -1523848, -2031795, -2539740, -3047683?\nAnswer: -3555624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - 1\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/2*p**4 - 57*p**3 + 117\/2*p**2 + 0 + 54*p.\nAnswer: 3*p*(p - 3)**2*(7*p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197, 397, 597?\n\"Answer: 200*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:19 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*q + 254*q = -70 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 5 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*k**2 + k**4 - 95*k**2 - 3*k**3 - 5*k - 9*k to x*k + s + v*k**2 + p*k**3 + c*k**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3 + -1 - (6 - 3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 7. Let s(q) = q**2 - 8*q - 2. Is 7 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 5, -0.3, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2321024 rounded to 4 dps?\nAnswer: 1.2321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -239, -812, -1695, -2828, -4151, -5604, -7127?\n\"Answer: 10*y**3 - 215*y**2 + 2*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 1. Let d be k(-3). Suppose 4 = -y + 5*y, -7 = -2*t - y. Suppose a = n + t*n - 21, -33 = -d*n + 5*a. Solve -2*g = 2*g + n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 457*r**2\/4 - 681*r\/2.\nAnswer: -r*(r - 454)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7))**(-11\/4))**(-27)*(h**(-3)*h**(-2))**(-30) assuming h is positive.\nAnswer: h**(3903\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18719, 74870, 168451, 299468, 467927?\n\"Answer: l**3 + 18709*l**2 + 17*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*t + 10, -6*g - 2*t - 50 = -11*g. Suppose g*u = 18*u - 2512. What are the prime factors of u?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 23. Suppose -k*c + 9 = -15. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*12\/8)\/((-3)\/66). Suppose -2*j - 7 + h = 0. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:56 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 45216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -13. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvk when three letters picked without replacement from vknfyyhv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, m: 1, a: 1, n: 1}. What is prob of sequence vna?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 2*f + 10 - 10 - f**2 + 6*f**2 - 2*f**2 + f - f + f**2 + (-4*f + 0*f + 6*f)*(3*f - 4*f + 3*f) - f**2 + f**2 - f**2 + 3*f**2 - f**2 - 3*f**2.\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:48 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 128012 from -1014868.\nAnswer: -1142880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 47*r**2 - 485*r + 178. Calculate d(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g - 27. Let u be a(3). Suppose 4*l = -l - j + 199, u = j + 1. Calculate the greatest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608\/21*o**2 - 2\/21*o**5 - 34\/3*o**3 + 96\/7 + 40\/21*o**4 - 232\/7*o = 0.\nAnswer: 1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -6 - (3 + -3 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4011 + -4012. Let u = 0 - 0.1. What is the closest to -1 in u, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/9 - 308*d**2\/9 + 1208*d\/9 - 400\/3 = 0.\nAnswer: 2, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (13 + 13 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -642, -1329, -2018, -2709?\n\"Answer: -h**2 - 684*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 389001182 to the power of 1\/2, to the nearest integer?\nAnswer: 19723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let y(c) = 10*c - 3. Let h(b) = 17*b - 5. Let a(z) = 3*h(z) - 5*y(z). Let q(m) = -5*a(m) - 3*l(m). Let n(p) = -5*p - 2. Give n(t) + 4*q(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/14)\/((-48)\/2534). Let u = -811\/6 - t. Calculate the common denominator of u and 91\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1813 and 814.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435 divided by 1.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5460)\/468*6\/55?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2402128 divided by 38744\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let c be ((-1)\/1)\/((-2)\/(-6)). Let l = -1 - c. Solve 2 = l*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367554?\nAnswer: 2, 683777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 3*s + 11, 0 = -4*p + 4*s - 4. Let o(f) = f**2 + 2*f - 15. Let u be o(p). Solve -n + u = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 835635200 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*i + 4. Find the first derivative of 3 - 3*r + i*r + r - 2*r wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 18*g - 12. Let w be n(8). Suppose -w*v = -3*m + 2*m - 108, 3*m = 5*v - 135. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3340359 by 3.\nAnswer: 1113453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -5*g - p + 30, 3*p = 4*g - 23. Suppose -j = -2*u + 93, g*j - 2 + 203 = 4*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 61*w**2 + 13*w - 1187. What are the prime factors of b(-54)?\nAnswer: 18523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 10 = 61. Suppose j = 3*u + 5. Suppose -6 = -q - c, 5*q - 26 = -0*c - u*c. Solve -2*b - b = q*r - 7, 0 = 5*r + b - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/140 and -51\/880.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*5)\/((-11)\/(-11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9654*f + 10085. What are the prime factors of j(-6)?\nAnswer: 47, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.29008 - 0.2?\nAnswer: -6.49008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjsttjsw. Give prob of sequence jj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 - 237. Let t(q) = -5*q**3 - 5*q**2 + 7*q + 3. Let v(s) = -4*s**3 - 4*s**2 + 6*s + 2. Let c(r) = f*v(r) + 2*t(r). Factor c(b).\nAnswer: 2*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.38 * -217.\nAnswer: -9413.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/3, -0.4, 4, -0.13126 in increasing order.\nAnswer: -2, -0.4, -1\/3, -0.13126, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 165*-1979206\nAnswer: -326568990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 + 50\/15. Suppose 4*g - 12 = -t*a, -4*g - 2*a = -a - 15. Let p be 3\/12 - 53\/g. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864900 is divided by 242?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -474 - -5?\nAnswer: -46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1 (b) 0.5 (c) 4 (d) 8 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 + 5*i. Suppose 0 = -4*d - 0*d - m - 714, 364 = -2*d + 3*m. Let k = d - -185. Let w(r) = -7*r**2 - 6*r. Give k*y(q) + 5*w(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Let z be ((-575 + 4)\/((-9)\/(-9)))\/1. Let k = z + 573. What is the smallest value in c, -36, k?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.163638 - -5.\nAnswer: 11.163638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/7, -10734\/7, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14481*n**4 + 49*n - 117.\nAnswer: 173772*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/35643434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21103um in kilometers?\nAnswer: 0.00000000621103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 569764.3ug in grams?\nAnswer: 0.5697643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2540 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -276\/544925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021056 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(153\/(-324) + (-10)\/(-45)). Let p = 183 + -286. Let o = p + b. Does o = -2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 64?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 91. Which is the nearest to q? (a) 7 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60763047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 404773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14100592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5 + 57*h**3 + 56*h**2 = 0.\nAnswer: -7, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a98 (base 13) to base 12.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 54. Let w = q - -42. Suppose 3*k + 2*p - 171 - 169 = 0, 5*k - w*p = 550. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(539)) + -3 - (sqrt(11) + 2*sqrt(539) + sqrt(11)))**2 - ((sqrt(11) - 3*1*sqrt(11))**2 - ((sqrt(11) - (0 + sqrt(11))) + 2)).\nAnswer: 132*sqrt(11) + 5291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let n(i) be the first derivative of 11*i**3\/3 + 20*i**2 + 912. What is n(o(l))?\nAnswer: 11*l**2 - 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19865490*k**3 - 4*k**2 + 42089*k - 10?\nAnswer: 119192940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.49999998 + -0.5. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*y**2 - 149*y**2 - 6*y**4 - 34*y**5 - 220*y**2 wrt y?\nAnswer: -2040*y**2 - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**2)\/i)**17)**(-1) assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 63*q - 4280. Calculate c(68).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*s - 61, -4*v - 5*s = v - 85. Let y(a) = -a**2 - 6 - 6 + v + 2*a**2. What is y(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919824.9992 + 106?\nAnswer: 2919930.9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from rrjvvjpvp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124269 and 2070?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:26 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 14*m**2 - 10*m + 9. Let n(s) = s**2 - 6*s - 3. Let f be (-4)\/(-14) - 540\/(-70). Let l be n(f). What is the units digit of d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 2 + 14 + -25 + (2 - -2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/14)\/(-3) + (1392\/1160)\/((-7)\/(-125)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-8 - -3)*(1 + -2). Suppose -17*f + 12*f + l = 0. Calculate the remainder when 7 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3300707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3078 - -3114. What is the fourth smallest value in -0.2, -4\/5, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-14) + (-84)\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 - 863*a**2 - 7745*a.\nAnswer: -6*a - 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13\/3)\/u*u*u*(u**(-4)*u)\/u*u**(-12)\/u**24 assuming u is positive.\nAnswer: u**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 138. Let a(c) = c**3 - 17*c**2 - 5*c - 6. Let l be a(17). Let h = l - -117. Calculate the remainder when t is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 24. Let i be ((-18)\/b)\/(3\/(-4)). Let g(c) = -i*c**2 + 4*c**2 + c**2. Let t(n) = 2*n**2. Determine t(g(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*j + j + 46 = 0, -4*j + 8 = 0. Let n = 14 + h. Suppose n = 5*f - 9. Let c(p) = -p + 5. What is c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-35)\/(-20) - (-180)\/(-112)). Suppose -5*s = -0*s - 35. Suppose 5 = s*f - 2*f. Put f, -2, m, 5 in increasing order.\nAnswer: -2, m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.219408cm?\nAnswer: 52.19408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*v**3 - 2*v - 126*v**3 - 277*v**4 + 283*v**4 + 258*v**3 in the form n + w*v + k*v**3 + h*v**4 + l*v**2 and give k.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*o + 20, 6*i - 4*i - 4*o = 20. Solve -k - 2*x - 3 = -0, i*k - 3*x + 13 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22553176 and -139\/24?\nAnswer: 67659528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.64 + -62.94. Round m to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/228650 and 37\/228650.\nAnswer: 228650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371014995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:43 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24505 or 24493?\nAnswer: 24505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {w: 4, y: 1, m: 2, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:21 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1881, -3516, -5151, -6786?\nAnswer: -8421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200679623?\nAnswer: 23, 29, 300869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:08 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:15 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:05 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 4*p + 20 = 0, -p = -5*o + 22. Let f be (-4 - -2)*(-3 + o). What is the hundreds digit of f*(-326)\/4 - (13 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 11) + -11 - (32 - 23)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-2)\/(-1020))\/((-150)\/375)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/15276560 and -83\/26?\nAnswer: 15276560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*w + 31, -2*w + 696 = 3*b - 715 + 1444 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/(-550))\/(6\/231)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 16)*-1*3\/(-18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 113.3. What is the third smallest value in c, 4, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21\/((((w*w*w**(5\/2))\/w)\/w*w)\/w))\/(w**(-13))**(-1\/57) assuming w is positive.\nAnswer: w**(2083\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21 - 25 + 25*l + l**3 + 2*l**2 + 45 - 26*l. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 - 1 = 0. Suppose 6 = m + n. Solve 0 = 2*x - m*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62756433 (base 8) in base 11?\nAnswer: 75a5969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*d - 3*k - 80, 4*k = 2*d - 52. What is the remainder when d is divided by (30\/(-50) + 0)*20\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, c: 5}. Give prob of sequence ccc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2. Let v(y) = 199*y**2. What is d(v(p))?\nAnswer: -237606*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 2534349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = 21*r - 1382. Let c = 97 - r. What is the remainder when 124 is divided by c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143 - 1aa0190?\nAnswer: -1aa0048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/312 and -33\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/1372*((-11)\/(-33))\/(1\/(-21))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8790.037 meters to kilometers.\nAnswer: 8.790037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3037243 is divided by 151860.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**3 + 721*a**2 + 708*a**2 - 1440*a**2 to j*a + d*a**2 + l + n*a**3 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 6 (b) 5 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.03\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028269 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + c = -3*j + 15, -4*j - 2*c = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9055*i + 9306 = -9572*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4828984.\nAnswer: -1\/4828984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -11, 2, -1\/15 in descending order.\nAnswer: 2, -1\/15, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**3 + 3*q**2 + 2*q**2 + 13*q**3 - 20*q**3 - 10*q = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttuu when four letters picked without replacement from tttututtuut?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 42 + 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 1, t: 2, h: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 + -19.46. Let x = l - -18.9. Which is the nearest to x? (a) 4 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 73412*l**2.\nAnswer: 4*l**2*(l - 18353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -774 + 774. Which is the fourth biggest value? (a) -2.1 (b) 3 (c) r (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 468 = -3*h, -1294*y + h = -1299*y + 2340. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95524639 <= 95524638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.2. Let n = -4 + -1. What is the closest to r in 0, n, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1520 and 880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 59. Suppose -29*v = -p*v - 12975. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:09 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8434800000 = -32*q. What is q rounded to the nearest one million?\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let v = -1 + 4. Suppose 0 = 5*x + 2*b + w*b - 40, -4*b + 29 = v*x. Solve 6*n - x*n = -4*m - 29, -4*n + 3 = -3*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Suppose -i - i = c - 18, -4*i = -3*c + 64. Suppose c - 8 = 2*p. Let s(g) = -g + 6 + 14*g - p. Give s(j(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133391.0078 + 133425. Let f = -34 + c. What is f rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1453*s + 765717. Give q(527).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40925 + 95839. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb1 (base 16) to base 4.\nAnswer: -232301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(8151\/(-26))*3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3219.3999us?\nAnswer: 0.00000089427775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2304456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10\/x**(-1\/11))**(3\/7) assuming x is positive.\nAnswer: x**(333\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -843b698 + -1a?\nAnswer: -843b6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewklzzzzzelwwwzwlslz. Give prob of picking 2 e, 1 l, and 1 s.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 24 = 3*h. Let v = h + 30. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 10 = -2*g - 22, -6 = 5*g - 2*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97245 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 38. Suppose -o*i = -2 + 11. Let f(s) = 22*s**2 - 11. Let l be f(i). What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c + 14*c - 38*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p - 2*m + 8 = -19*p - 2*p - 26*p, -79*p = -2*m + 91 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162134, -162136, -162138, -162140?\nAnswer: -162142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*r*x + 2*l**3*r + 2*l**3 + 3*l**2*r - l*r - 4*l*x - x wrt l.\nAnswer: -12*r*x + 12*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2850 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -20 - (-3 - 4)) + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*w + 18, 4*z - 19 = w - 1. Find the third derivative of 21*f**w + 18*f**5 - 19*f**5 + 11*f**5 wrt f.\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/(45\/225)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 + 10 = 0. Solve -8 = 2*h, -14 = 2*g + 4*h + s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34102 and 27494.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 101111001000001001 (base 2) to base 14\nAnswer: 504c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -201?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = -21, 3*t + 5 = 4*a. Find the second derivative of -h + 0*h**5 + 3*h**a + 0*h - h**5 wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 149. Are c and -0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9065, 69663, 234157, 554495, 1082625, 1870495, 2970053, 4433247?\nAnswer: 6312025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/2)\/(15\/(-10)))\/(185\/(-21645))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23500621 + 3?\nAnswer: 23500624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/147 - -269\/735. What is the fourth biggest value in n, -0.3, -8, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 338*g**2\/3 + 460*g\/3 - 152.\nAnswer: -(g - 114)*(g + 2)*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 176*i**3 - 2*i**2 - 176*i.\nAnswer: 2*i*(i - 1)*(i + 1)*(i + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -209.259. Round z to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4783 - -4783.50002. Let o = q + -0.5. Round o to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088*a + 2097*a + 54 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0 + c**3 - 2\/3*c**4 + 11\/2*c**2 + 1\/20*c**5 + 34*c. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -498851*t*z**2 + 18*t*z + 351477*t - 14*z**2 wrt z?\nAnswer: -997702*t - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 6*l - 60 = -5*l, l - 6*l + 136 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + x**2 + 64*x - 564. Is 95 a factor of a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.43 + 157.57. Let l = 3648847421 + -3648847261.0000141. Let t = l - y. Round t to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31320*w**3 - 503*w - 21.\nAnswer: -187920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -616315800 rounded to the nearest 1000000?\nAnswer: -616000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1007238 - -9074723\/9. Let f = 1071 - t. Calculate the common denominator of f and -83\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 611.5896l?\nAnswer: 611589.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*w - 2, 4*h + 21*w + 26897 = 26918 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5543551?\nAnswer: -5543543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (281 - 192) + -121 + 1 + -12 + -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.279 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 5*t**2 + 6*t - 12. Let s be j(5). Let n be 22\/(-51) - (-12)\/s. Let r(f) = -f - 2. Let k be r(-1). Is n at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/25 - 1\/5. Let h(y) = -3 + 2 - s + 2. Let d(g) = -g - 6. Let j(x) = d(x) - 3*h(x). What is the derivative of j(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 1.04. What is the closest to -2\/9 in 4\/7, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 12?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m + 211 + 3917 = 53*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 - 3*p + 11. Let h(f) = 5*f**2 + 297*f - 14. Let l(g) = g**2 - 16*g - 1. Let m(q) = -h(q) - 18*l(q). Determine 17*i(w) - 6*m(w).\nAnswer: 2*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - (-40)\/(-6). Let d(m) = -m - 12. Let t be d(z). Which is the biggest value? (a) -0.3 (b) 2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + q - 1, -4*l - 2*q + 2 = -5*l. Suppose -2*b + p = -70 + 17, 2*p + 2 = l. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbppsfdfsp. Give prob of sequence ff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50040241 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 + -148.04. Let g = 0.04 + w. Which is the closest to -1? (a) -2\/5 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13628496 by 6814248.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let s be (-1 + n)\/1 - -1. Let u = 31 - 28. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3299921388.\nAnswer: 2, 3, 709, 129287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*u = -j + 8, 4*j - 4*u = 0. Let x = 16 + 21. Suppose 3*d - 2*w = -6*w + x, w = j*d - 62. Solve 2*a = -a - d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:03 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3067612 and 2682.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-9)\/12*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*q - 62*q - 4*i - 35, 645*q = 4*i + 5813 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154746107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -717*f**3*j**3*m + 9*f**3*j**2 - 6*f**2*j**3*m - 2*f**2*j**2 + 2*f**2 - 7*j**3 wrt m?\nAnswer: -717*f**3*j**3 - 6*f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025969 rounded to seven decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133214 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: What is (-1*(-2)\/24)\/((-580)\/232)*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 14*r - 38. Determine t(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53)\/(-17) + (-2)\/17. Let f(m) = -m + 6. Let w be f(p). Suppose 0 = 6*i - w*i + 12. Sort -5, i, 1\/2 in descending order.\nAnswer: 1\/2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 s when three letters picked without replacement from tzwafstz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 - 2. Let m be 3*1 + (-120)\/24. Let n be s(m). Suppose -n*y = y. Solve -4*l - 3*d + 14 = y, 0 = -4*l - 0*l - 2*d + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 12*o**2 - 156*o - 645. What is m(0)?\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12.5. What is the second biggest value in -0.3, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -24. Suppose -t + 5*t - i = 0. Suppose 3*d + 9 = 4*d + p, -4*d + 4*p = t. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let i(b) = -24*b**2 + 12 + 40*b**2 - 219*b**2. Let l(u) = -90943*u**2 + 5373. Let r(n) = -1791*i(n) + 4*l(n). Give r(j(g)).\nAnswer: -199*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41121?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 4850 = -4*l. Suppose -2*q = -4, 4*x - 7*x + 2*q = -l. List the prime factors of x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-3542)\/10 - 4\/20. Let y = b + -323. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 82, 36, -4, 33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 + 2*o**3\/3 + 8*o**2 - 3*o. Let u be b(-12). Let w = u - 15. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302.2 + 424.85. What is q rounded to zero decimal places?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 48*h**2 - 80*h + 87*h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -3 in ascending order.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*j + 101*j + 45*j - 2160. Solve -24 = 53*t - 58*t - p, -3*p = j*t - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5728125*w**2 - 2597290.\nAnswer: -11456250*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-43)\/(-9) - 8\/(-36). Let c(f) = 2*f - 1 - k*f + 0. What is the units digit of c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 189*r + 24. Calculate a(1).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 336.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/25 - (-8)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 1034 = 5*r. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -36*x**2 + 3*x + 4. Let h(s) = 36*s**2 - 3*s - 3. Let l(q) = -3*b(q) - 2*h(q). Is l(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -58. Let d = -39 - 0. Let z = -40 - d. Put z, c, 2, 0.3 in ascending order.\nAnswer: c, z, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8, -1\/2, 1\/26, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1074341, 1074347, 1074357, 1074371?\nAnswer: 1074389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 26*f**2 - 27*f - 2. Calculate r(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 65 = -12*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 7. Let b be (t\/48)\/(7\/1246). Let s = 91\/4 + b. Calculate the common denominator of -3\/5 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17370 - -17431. What is the remainder when j is divided by 14\/1 - 2\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.15 + 0.15. Let l = w + 6. Let b = 1695 - 1701. What is the closest to l in -2, b, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*r + 227*r = -1273*r - 120445 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 59, 141, 267, 443, 675?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 23*d + 40. Let r(s) = -123*s - 213. Let u(o) = 3*r(o) + 16*x(o). Let p(k) = k**3 - k**2 - k + 1. Let f be p(0). Calculate u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - b + 155 = 0, 0*x - 4*b - 122 = -2*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/5 - -4)*5\/1. Solve 0*f - 4*f = 4*z + 4, 4*f = -d*z - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2676\/142720)\/((-1)\/(-5110)*12)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403287583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2660 by 665.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*w + 61*w + 73*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 87. Let a be t(0). Suppose 2*y = 5*z - y - 399, 3*y = z - a. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, -5, -10, -0.2, 14, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 2*i - 952802 - i - 6*i.\nAnswer: -2*i - 952802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*t**3 + 10*t + 202*t**3 - 134*t**2 + 136*t**2 wrt t.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 343*v**5*z**2 - 3*v**4 - 1024*v*z**2 + 2*z - 1 wrt v?\nAnswer: 6860*v**3*z**2 - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54\/203 + -2983\/11977. What is the nearest to s in 0.06, -1\/4, -0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 10. Let x be f(4). List the prime factors of 870*(-4 - (-9)\/x).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -12, 11*o - 8*o = 5*x + 61785. Round o to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -22*r - 1. Let y = 404 - 405. Give n(y).\nAnswer: 21","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 {w: 5, p: 1, e: 4, v: 1, s: 1, t: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - (3 + -5)) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least -57497980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppappa. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2358 by 262.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:53 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 13*f**2 - 29*f + 22. Determine m(11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -729e7 + -2?\nAnswer: -729e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = -565. Let i = -81 - h. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26317353 divided by 3.\nAnswer: -8772451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/293760 and -139\/183804.\nAnswer: 264677760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 70267?\nAnswer: -1\/2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2010, 2007, 2004?\n\"Answer: -3*u + 2013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g**2 + 0)*(-3*g - g + 6*g)*(1 + 1 + 1).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379589374*z**4 + 3282*z**2 - 27964.\nAnswer: 9110144976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18572.\nAnswer: 2, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**3 + 0 - 25*s - 17\/2*s**2 - 17\/6*s**4. Differentiate h(o) with respect to o.\nAnswer: -68*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/2)\/((-12)\/48))\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 5. Let p(a) = -22*a**3 - 30*a**3 + 51*a**3 + 5 + 5*a**2 - a. Let w be p(5). Calculate v(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 15988*n**2\/3.\nAnswer: n**2*(n + 15988)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1750.7766 nanoseconds to minutes.\nAnswer: 0.00000002917961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*t + 136*t = -36. Let m = 857 + -531. Suppose m = t*b - 670. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 34. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -0.6. Let t = 2 + q. What is the third smallest value in -2\/7, t, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5804, -5802, -5800, -5798, -5796?\nAnswer: -5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:54 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(350) + sqrt(350)*-1)\/sqrt(10))\/(sqrt(45)*6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4194829 and 4857?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1048 + 1292 = 5*n, -12 = -3*n. Let i be 8\/(-18) + f\/261. Solve -i*q = -2 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 116. Suppose x = -2*u + 36. Suppose u = 8*r + 142 - 822. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (639\/710)\/((-36)\/15)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 30927 = 3*j, -3*j + 28 - 13 = 0. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z + 29. Let s(k) = -5*k + 42. Let v(a) = 5*s(a) - 8*u(a). Let w be v(-22). Solve w = -g + 3 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-528)*-253 - -6*4\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50620495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1 + (-30)\/21 + (-71978)\/(-238)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 5101.5.\nAnswer: 5101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.01. Let u = 0.05 - g. Let y = -0.812 + -0.188. What is the closest to -0.1 in y, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 9\/2 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzzzzlzzlzzzl. What is prob of sequence zlz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8)*17*(-36)\/(-918). Which is the third biggest value? (a) 2 (b) z (c) 3\/2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*m**2*r**3 + 241*m**2*r**2*w - 14542*m*r**3*w + m*r**3 + 42*m*r + 15*r - 1 with respect to w.\nAnswer: 241*m**2*r**2 - 14542*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17862, 35651, 53290, 70701, 87806, 104527, 120786?\nAnswer: 136505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4*1*-2. Let r = -639 + 637. Which is the closest to 10? (a) -2\/9 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*a**5 + 5*a**5 + 975*a**2 - 9*a**4 + 9*a**4 + 8*a**3 + 0*a**4 wrt a.\nAnswer: 4800*a**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1366*a**2 - a**3 + 1362*a**2 + 26 - 2729*a**2. What is c(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - -2*sqrt(171)) + sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(19) + 1 + 2)**2.\nAnswer: 24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001110011011001010 (base 2) to base 15.\nAnswer: -2c8d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let i = 9 + -7. Suppose a = i*u - 0*u - 98. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 3*r. Suppose -5*i - 6 = -21. Let u be ((-2)\/i)\/(2\/(-27)). Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.4 - -40. Let z = u + -5. Let y = 0.1 + z. Put 0.4, -4\/7, y in descending order.\nAnswer: 0.4, y, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*((4 - 4 + 1)*(4 - 1 - 4) - 8 + 3 + 1 - 3 + 3 - 2 + (-1 + 2 - 2)*(3 - 2 - 2)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-15 + 2) - (-188 + 192).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -2 - (-2 - -2). Let k(z) be the second derivative of -z**4\/12 + z**3\/3 + 15*z. Let d be k(3). Put 0, h, d in ascending order.\nAnswer: d, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007883994 to the power of 1\/2, to the nearest integer?\nAnswer: 31747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 109 = -4*y, -155*k = -5*y - 154*k + 139. Let t be 4\/18 - (-372)\/27. Calculate the greatest common factor of t and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let i(b) = b - 1. Let a(m) = 2*m**3 + 5*m**2 + 3*m + 1. Let w be a(-1). Calculate w*i(v) + 2*x(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3\/4, 0.2, 0.5, 2 in ascending order.\nAnswer: 0.2, 0.5, 3\/4, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(126) + sqrt(14))\/sqrt(7))*-6 + 1 - ((-2*sqrt(104)*-2)\/(sqrt(40)\/(sqrt(5) + 1*sqrt(5) + sqrt(5))))**2.\nAnswer: -1871 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 13*h - 10. Let x be q(8). Suppose -d + 20 = 3*r - 2*d, 3*d + x = 3*r. Solve -t - 3 = -r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-18)\/(-81) - 1196\/36) - 6. What is the highest common divisor of 6990 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -40, -17, 2 in descending order.\nAnswer: 5, 2, -15, -17, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:33 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -37. Let x = j - 18. Put 4, x, 2 in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asasaahov. Give prob of sequence saoa.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61065517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.9, 8, 2\/7 in descending order.\nAnswer: 18.9, 8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 2*i**5 + i**3 + (-i**5 - 2*i**5 + 5*i**5)*(-1 - 4 + 3) + (5*i**2 - 209*i + 209*i)*(-7*i**3 + 0*i + 0*i).\nAnswer: -37*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 - 10*y - 8. Let t be r(-9). What is the smallest value in 4, t, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -38968 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 15 + -22 + 152 + 9 + -21\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3247? (a) -2 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98558.\nAnswer: 2, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -770 + (-1 - (-1 + 1)). Let o = -402 - v. Suppose 5*p - o = 86. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14711817449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9776 = -93*a - 13*a + 872 + 5888 for a.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3 + 2860*r**2 - 127586*r + 357072 = 0.\nAnswer: 3, 43, 1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 4. Sort -4, k, -97 in descending order.\nAnswer: k, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 56*a**2 + 7*a + 15. Is s(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 13) in base 8?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -283375, -282868, -282361, -281854?\n\"Answer: 507*z - 283882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*o = -1 + 14, -4*s + 5*o - 29 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 1. Give t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 1517459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36065 != 36060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 - 5*b + 5. Let m(f) = 15*f**2 + 10*f - 11. Let p(i) = -13*d(i) - 6*m(i). Determine p(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 504\/53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 e when four letters picked without replacement from {o: 3, e: 3, k: 12}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417 + 895. Let s = 872 - u. Are s and 392 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/35 (b) 1\/6 (c) -4\/9 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*q - 6*q + 39, 3*q - p - 137 = 0. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -1 - 5. Let p = 7 + h. Let u(b) = b + 3. Let s be u(0). Solve o = -s*o - p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, -5, -13 in increasing order.\nAnswer: -13, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 17. Let y be k(6). Let m = y - 27. Suppose -m*n + 103 = 19. Solve n = 2*s - 5*t, 2*s - 3*t = 4*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(-4*p + 3*p + 4*p)*(19*p**2 + 20*p**2 - 29*p**2) to d*p + i*p**2 + f + m*p**3 and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**2 + 79*f**3 - 81*f**3 - 680 + 170*f + 498 + f**2.\nAnswer: -2*(f - 13)*(f - 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:47 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0510832 - -0.0310832. Let v = 6.1 + -1.1. Let r be 28\/(-6) - 2\/6. Put m, v, r in ascending order.\nAnswer: r, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l - 7 + 7)*(-2 + 2 - l)*(-160 - 502 - 350) to z + x*l**2 + b*l and give x.\nAnswer: -9108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (-4*sqrt(648))\/(-4*sqrt(486)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1496385 and 15?\nAnswer: 1496385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyxyx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*h**4 - 18482*h + 2777276?\nAnswer: 144*h**3 - 18482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168704330, -168704332, -168704334?\nAnswer: -168704336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**5\/5 - 4404*i**4\/5 + 30632*i**3\/5 - 42168*i**2\/5 + 18556*i\/5 - 516 = 0. Calculate i.\nAnswer: -129, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -827.\nAnswer: 2\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12480 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 0.088372.\nAnswer: 0.088372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -44*(51\/78 - (-8)\/(-52)). Let m = -36120\/14729 - 3\/1339. Find the common denominator of m and t\/((-168)\/(-18) + -6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1246 and 267.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 346 = -o, 2*o - 720 = -4*v. What are the prime factors of o?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 376 and -56.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from wawvwogowwog?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69 and -532678431586.\nAnswer: -532678431655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 2*l - 1. Let w = 9 + 2. Suppose -4*i - 3 = -w. What is b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-72))\/(3\/12). Suppose 3*k = -4*p + o*p - 5, -14 = -4*p + 5*k. Is p greater than -2\/471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 11. What is the remainder when (2 + -2 + -26)*-1 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16 and 133\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -90469.3217 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 + 2*q + 3. Let x be 10\/(-4)*-14*8\/(-280). Determine d(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -15713458.\nAnswer: 4714037.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1241503*-0.9\nAnswer: -1117352.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/6 + 33*o**2 + 1. Let w(n) = 33*n. What is w(t(p))?\nAnswer: -132*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 3, c: 1}. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13941 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46279\/96720 - -28\/465. Let a = 1\/624 + c. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2628*z - 408*z - 22014 = -483*z - 966*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.6. Let m be (12\/(-10) + 2)\/(6\/5). Which is the nearest to -5? (a) -2\/11 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15922, -31863, -47806, -63739, -79650, -95527?\n\"Answer: 2*h**3 - 13*h**2 - 15916*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 141, 214, 287, 360, 433?\n\"Answer: 73*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4484 is divided by 216?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 550. Let y = 61 + p. Let m = -44 - y. Solve -m*o = 8 - 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15495896, 15495894, 15495892, 15495890, 15495888, 15495886?\nAnswer: 15495884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110\/20*-2 + 6 + 304\/56. Let k = -7.6 + 8. Which is the second smallest value? (a) -2 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5054265 (base 7) to base 12\nAnswer: -2502b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - l - 20 = -6, -26 = -2*v + 4*l. Factor 2\/5*z**4 + 2\/5*z**v + 0 + 0*z**2 + 0*z.\nAnswer: 2*z**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + -2 + (714 - 697)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 - -346. Suppose y + 26 = 2*y + 3*h, 2*y = -5*h + 55. What is the remainder when r is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 (base 6) in base 5?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1447*(-1 + (-1 - -1)). Let b be (-4884)\/(-55)*((-60)\/9)\/2. Let d = b + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/3))**(-2\/19)\/(g**7\/g*g*g**(-8)))**(9\/5) assuming g is positive.\nAnswer: g**(147\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9 + 25, -132 = -4*m + r. What is the greatest common divisor of 1056 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 7 - 7 = 30*w - 33*w, 0 = -u - 3*w + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26112495 and 2820?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 3*w + 8. Let q(v) = v**2 - 2*v + 8. Calculate -3*i(r) + 4*q(r).\nAnswer: -2*r**2 + r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 185*v - 955. Determine l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 1. Let h(g) = g**3 + 6*g**2 + 2*g + 8. Let i be h(-6). What is the tens digit of o(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 0. Suppose -4*h + 3*h = -5. Let l = 8 + 4. Solve -h*y + y + l = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 116*h + 562. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjtlmjuk. What is prob of sequence jmk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/8 + 11*f**3\/6 - 31*f**2. Give a(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*n - n**4 - 2*n**4 - 2*n**3 + 155*n + 2 + 2*n**4 to h*n + r*n**3 + t*n**4 + y*n**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/57)\/q**(2\/19))\/(q**(14\/9)*q*q*q**30*q) assuming q is positive.\nAnswer: q**(-5921\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1993*f - 1514*f + 2129*f in the form w*f + m and give w.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 10. Let t be g(12). Let a(f) = 8*f - 1. Let x be a(1). Find the first derivative of 4*n + x - 5*n + 5*n - t wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 12*p - 6. Determine g(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/1*423\/1551*(-110)\/(-4275)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 1493144?\nAnswer: 4479432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 41 - 47 - 22)*(-7*q - 4*q + 0*q).\nAnswer: 858*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.81861um in millimeters?\nAnswer: 0.08281861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*q - 10, 3*q = -5*o + q + 4. Suppose -33*j + 143*j - 220 = 0. Let x(c) = o + 31*c**j + 0. Let l(h) = h. Give l(x(b)).\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let n(x) = -1047668057*x**2. Give h(n(c)).\nAnswer: 1097608357658155249*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 2}. What is prob of sequence waaw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2530)\/(-55))\/92)\/((-6)\/8*-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1443 = 19*o + 20*o + 56*o + 2452 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 31*h + 3. Let g(l) = -26*l - 4. Let q(z) = -6*g(z) - 7*v(z). Determine q(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 + 6*b - 3. Find the common denominator of j(8) and 15\/13 + (-2)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -484 - -491. Let q(b) = 13*b - 22. Let m(t) = -4*t + 7. Determine j*m(l) + 2*q(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, j: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53084?\nAnswer: 2, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4 - 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5\/(-20)*-7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/180 + 17*r**4\/72 + 8*r**3\/9 + 168*r**2. Factor u(m).\nAnswer: (m + 1)*(m + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700) + (sqrt(343)*2)**2 + ((sqrt(7) + 3)*1 + sqrt(7))**2*3)*-3.\nAnswer: -4449 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/63 and 13\/19857.\nAnswer: 416997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-60))\/(-126*(-23)\/828) - (-326)\/(-6)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8044139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/3 - 1583*q**4\/2 + 793*q**3\/2 + 9497*q**2\/6 - 2375*q\/2 = 0. Calculate q.\nAnswer: -2375, -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 26*z**2. Let p(t) = 10*t. Let w(u) = -6*u. Let h(f) = -5*p(f) - 8*w(f). What is v(h(k))?\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 s when four letters picked without replacement from shhsshshhssh?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**3 + 3*j + 2. Let m(h) = -h**2 - 6*h + 5. Let i be m(-7). Let a be x(i). Suppose -8*w = -4*w - a. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 16 - 9 - 2*b - 10*b**2 in the form p + m*b + z*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 519888*r**4 + 14035374*r**3 + 101362872*r**2 + 87847383*r = 0. What is r?\nAnswer: -173269, -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x - 3*k, -7*k = -5*x - 11*k - 8. Let q = 4.7 + 0.3. Which is the closest to -3? (a) -1 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212993277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*y - 58*y + 146*y + (-2*y - 3*y + 3*y)*(2 + 3 - 4) - 2*y - y + y + 2*y - 6*y + 3*y in the form a*y + j and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 130*y**3 + 54*y + 7. Let d(l) = -43*l**3 - 18*l - 2. Let n(x) = -7*d(x) - 2*h(x). Find the second derivative of n(v) wrt v.\nAnswer: 246*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 22*p**2 - 40*p + 7. Let z be m(-20). Suppose g = -2*k + 5*k - 7, -5*k = -15. Let y(o) = 4 + o**g + 0*o**2 + 0 - 9*o. Determine y(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4538802476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4156191 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080 divided by -24?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/3995)\/((-20)\/1190*7)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 4*q - 3. What is z(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97064?\nAnswer: 2, 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -285, -494, -703, -912?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-1)\/10)\/((-3)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16112 + 1627702\/101. Let y = 16040\/2323 - t. Let o = 251\/46 + y. Find the common denominator of 17\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from bbccccccbccbbbctcbcb.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u = 2*t - 14, -2*u - 4*t = 44. Let n = u - 4. Let k(r) = -r**3 - 15*r**2 + 17*r + 19. Let m be k(n). Put 2, m, -1 in decreasing order.\nAnswer: m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1343 and -13.\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-42)\/8 + 4. Is o smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -13.\nAnswer: 44\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 + 20*d - 12. Let n be r(-9). Calculate the highest common factor of 42 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003266044 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -9)*(-3 + 0). Let b = -1.5305 + -0.4695. What is the third biggest value in d, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20700, 41501, 62302?\n\"Answer: 20801*n - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280*k - 18*k**2 - 48*k**3 + 43*k**2 + 32*k**3 + 21*k**3 - 300.\nAnswer: 5*(k - 6)*(k + 1)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**3\/39 - 3*o**2\/13 + 80*o\/13 - 719. Factor w(t).\nAnswer: -2*(t - 5)*(t + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 2*q + 2*q**2 + (-4 + 4 + 27*q)*(2 + 3*q - 2) to c + y*q**2 + s*q and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19538.\nAnswer: 2, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)\/((-4)\/8). Let w(c) = 2*c + 3 + 6*c**2 - 5 + 0*c. List the prime factors of w(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/4 - 7\/8. Let r be 10\/(-4) + 2 - (-2)\/8. Which is the nearest to r? (a) q (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.4408 - -27.9408. Let x be (-1 - 1) + (-22)\/4. Which is the closest to -1? (a) o (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from aaagaqaalsx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = i + 16. Let h(j) = 2*j + 5*j**2 - i - 14 + 22. Calculate h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001577426 rounded to 7 dps?\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18624 = 68*f - 74928. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + 13)*(-5)\/((-15)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2065?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a**3 - 15*a**3 + 169*a**3 + 79*a**3.\nAnswer: 197*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/1 - ((-36)\/3)\/4. Suppose 5*f = 2*l + 31, 5*l - 5*f - c = -80. Let q = -139 - l. What is q rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvy when three letters picked without replacement from bvqyn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 6*j**4 - 3*j)*(0 + 2 - 4) + 13*j**4 + 9*j**4 + 19*j**4.\nAnswer: 29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 + -91. Suppose -6*p - y = -2440. Is p 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 9:53 AM and 5:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 1. Let a be u(1). Let n be 3\/a - (-220)\/(-5040). Let c = 29\/396 - n. What is the second smallest value in 3, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182 or -14312?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + u = 2*l + 18, -3*u = 5*l - 14. Suppose -l*k = -0*k - 8. Let i(v) = 5 - 5 - k*v + 5. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) 698 (c) 3\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*r - 6 + 4)*(15 - 15 - 8*r**3) + (2*r - 2*r + r)*(53*r**3 + 46*r**3 + 21*r**3).\nAnswer: 96*r**4 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 29 - 74 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 17. Let i(g) = g**2 - 6*g - 2. Calculate i(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2265? (a) 2\/23 (b) 5 (c) 2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2. Suppose 5*d - 78 - 7 = 0. Let o be (3 + -3 - d)*-1. Let l(m) = -m**2 + 7*m + 10*m - o*m. Calculate l(i(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -129. Let s be (3 - (3 + j)) + 2. Let u = s - 40. Calculate the remainder when 64 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1078.9 + 1079. Let x(u) = u + 5. Let n be x(-4). Let v be 0 + (-2)\/(-4)*n. What is the third biggest value in q, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juhajujahlquuj. What is prob of picking 2 u, 1 l, and 1 h?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*f - 24, 433*v + 13 = 4*f + 430*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133\/3 - 583\/12. Find the common denominator of -3 + 3\/((-108)\/147) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13786*a**6 + 25968*a**3*i**2 + 3*a**2*i**2 - 26525*a*i**2 - 44*a wrt a.\nAnswer: -1654320*a**3 + 155808*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000691374 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -61*x + 62*x - 93, 4*x - j - 384 = 0. Calculate the remainder when 290 is divided by x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2. Let p(r) = -9*r - 4. Let j be ((-1)\/2)\/(1\/(-26)). Let w(s) = j + 78 + 210*s - 15*s + 13*s. Let a(m) = 91*p(m) + 4*w(m). Calculate a(x(i)).\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, 2, -5 in increasing order.\nAnswer: -5, -4, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.21681582489034 and -0.1?\nAnswer: 1.31681582489034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -24472299*y**3 + 12121*y + 12121. Let p(m) = 12115*m**3 - 6*m - 6. Determine 6*i(n) + 12121*p(n).\nAnswer: 12121*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -379609\/3 greater than -126536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 3238 = 3273. Solve -3*x - 8 = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -6 (c) -0.1 (d) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1398 - 279?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31\/4 + 147\/20. Are k and -16\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b**2 + 0)*(-4 + 76*b - 71*b + 5).\nAnswer: 5*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132420360 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3549196 - -2106338. Let i = t + 833858. What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 + 191*z**2 + 134*z + 171. Determine h(28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 550?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 404*11826\nAnswer: 4777704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 + d**3\/2 - 2*d**2. Suppose -m + 3*m - 20 = 2*a, 0 = -3*m + 12. Let j be s(a). Put -2, j, 0, -5 in descending order.\nAnswer: 0, -2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/95 at most as big as 80\/176849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -578 - -581. Put q, -5, 221 in descending order.\nAnswer: 221, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40625 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59533.\nAnswer: 37, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7*y = 2*n - 12, 0 = -n - 4*y - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j - 2*t, 2*j - 5*t - 32 = 5. Suppose 5*l - 6 + j = 0. Let n(a) = -56*a + 1. What are the prime factors of n(l)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - 159. Let w = c - -230.593. What is w rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32758972.\nAnswer: 2, 8189743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -43. Suppose -b = -2*d - 5*k + 28, 5*d - 2*k = 158. Let w(y) = 60*y**2 - d*y**2 - 28*y**2. Let z(l) = -3*l. Calculate w(z(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87*l - 87*l + l**3)*(0 - 3 + 4) to u + g*l**2 + y*l**3 + a*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 7*p - 4, 5*h + 5*p = 4420. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -0.5 (c) 1\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 157, 2\/217, 1, 3?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4 + sqrt(17) - sqrt(17))*6*-4)**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 69*y + 266. Let a(j) = -122*j - 533. Calculate -4*a(i) - 7*f(i).\nAnswer: 5*i + 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 493*j + 611*j - 4 + 306*j - 370*j to the form h + z*j and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-16)\/40 - -1043. What is the greatest common divisor of j and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1886.2 - -0.4.\nAnswer: -1885.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -10309?\nAnswer: -10373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 14*c + 43. Let p(t) = 2*t**3 + 10*t**2 - 10*t + 8. Let z be p(-6). Let v be s(z). Solve -3*a - 5 = -a - v*r, -35 = -3*a - 4*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3662 = 5*i - 6*i. Let h = -22091\/6 + i. Find the common denominator of (-411)\/42 - (0 + -3) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npunuumumuunmm. Give prob of sequence uump.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-34)*x*x**6*x*x**6*x*x*x)\/(x*x*x**3\/x*x**5*x**(-3)\/x**(1\/4)) assuming x is positive.\nAnswer: x**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 18. Let n = -85 - -84.58. Let v = -0.22 - n. Which is the third biggest value? (a) v (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3835*y**2 - 1915*y**2 - 1923*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345418?\nAnswer: 2, 172709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8*z - 68 = 0. Suppose -j - m + z + 44 = 0, -4*j = 5*m - 308. Let d = 197 - j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/5)*n)\/n*n**(-1\/10))**10\/((n**(3\/2)\/n**(1\/12))\/((n**(-4)*n)\/(n\/(n\/(n\/(n*n*n**(1\/3)\/n)*n))))) assuming n is positive.\nAnswer: n**(-217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10663551.\nAnswer: 3, 1184839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/13)\/a)\/a*a\/a**(-10)*a**(-9)*a**(-4)\/a assuming a is positive.\nAnswer: a**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4130314 - -10?\nAnswer: 4130324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/28)\/o)\/((o\/(o*o*o**34*o))\/o*o))**(-2) assuming o is positive.\nAnswer: o**(-1005\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148968 - 69791. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5)*(-560)\/4760\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 7 - (3 + -4) - -4 - 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - c - 45, -4*c + 17 = 5*d - 3. Let s = d + -7. Solve k = -s + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in -41\/3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let f(q) be the first derivative of -3*q**4\/8 + 7*q**2\/2 - 10. Let h(p) be the second derivative of f(p). Calculate h(t(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200460 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-4)*(-13 + (-216)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwwwwh. Give prob of picking 4 w.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 6*b - 177. Let h be r(17). What is the remainder when (((-16)\/h)\/(-2))\/((-102)\/(-11985)) is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 11*w - 13. Let b be g(-6). Let m = -114 - b. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o*o\/(o\/o**(2\/7)*o))**(-2\/71))**(-27) assuming o is positive.\nAnswer: o**(108\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (5 - -14 - (-12 + 4) - (-2 + 9))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 808812457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1354391446358532.3000063 + -1354391735092627. Let t = w + 288734110. Let m = 15.3 - t. Round m to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804691217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803561019 to the nearest integer?\nAnswer: 28347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1795882 * 1\nAnswer: -0.1795882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -615.12 + 370.01. Let d = 113 - 357. Let q = w - d. What is q rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/4))**(5\/13)*(v**(-4)\/v)\/v**(-1\/6))\/(((v*(v**2\/v)\/v)\/v)\/(v\/v**5)*v*v*v*(v**(1\/2)*v*v)\/v*(v**(-6)*v*v)\/v) assuming v is positive.\nAnswer: v**(-1225\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39530*l + 236970. Determine z(6).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 29*k**2 + 29*k + 4. Suppose 2*l - 40 = -3*q, 3*q + l - 36 = -2*l. Let h be q + -39 + 8\/(-2). Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 501677079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:00 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 + 1 + 1. What is h in 204*h**3 - 16*h - 184*h**3 + h**4 - 32 + 4*h**4 - h**u + 24*h**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 11. Suppose -177*s = -166*s + 99. Calculate b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7159 - 7130. Solve 3*n + a - 16 = 0, 5*n - z + 1 = -3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1165754 and 45272.\nAnswer: 4663016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -197950 divided by -305\nAnswer: 39590\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4 and (-37)\/(-10) + 10\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71966, 71693, 71406, 71099, 70766, 70401, 69998, 69551?\nAnswer: 69054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -56. Let c = m - 30. Let x = c + 16.4. What is the second smallest value in -0.1, -0.04, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341190 divided by -11373\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290903722?\nAnswer: 2, 67, 773, 31771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 3\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -81, -235, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - n**2 - 1 + 4*n - 11*n**3 - 4*n to the form w + g*n + p*n**3 + x*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 + 1676*w**3 + 446594*w**2 + 40002768*w + 1139362848 = 0. What is w?\nAnswer: -351, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d + 27*d + 75 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1349670492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 183, 364, 545, 726, 907?\n\"Answer: 181*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68 - 21 - -87) + (-1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 50\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -15*p + 255. Suppose -4*h - 2*r + 5312 = 0, -p + 63 = 3*r. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1*(-3)\/(-12). Is (-144)\/(-3*a) - 0 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 5, 2, -1, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.5284394 and 5.\nAnswer: 32.642197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 708647.25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560 a factor of 460295520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24864.05987 rounded to the nearest integer?\nAnswer: -24864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 34*m + 32*m + 35924, 0 = 5*w + m - 35932. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 340420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2805, -22416, -75625, -179232, -350037, -604840, -960441?\n\"Answer: -2800*n**3 + n**2 - 14*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -12) + 7 + -5. Let k = 88 - 53. What is the highest common divisor of k and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 2*g + 2. Let i(o) = -o**2 + o + 1. Let a(u) = 13*i(u) - 6*q(u). Suppose 4 = d - 0*d. Suppose 4*t - d = 2*t. What is a(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2889389489 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Suppose 2*m - 5*n = -11, -2*m - 3*n + 7 = -2*n. Let g be y(m). Factor -29*j**2 - 36*j - 12*j**2 - 4 - 25*j**g - 15*j**2.\nAnswer: -(9*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -17*c + 571. Suppose 55*l - 2082 = c*l. List the prime factors of l.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - n**2 + 6*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-8)\/(-3). Suppose -4*u + 90 = -2*c, -92 - 25 = -5*u + k*c. Suppose -u = -3*b + 6. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -648?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/120 - z**3\/6 - 4*z**2. Let x(k) be the first derivative of l(k). Let s(b) = b. What is s(x(o))?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*m + 337*m - 1012*m + 339*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.62 - 28.58. Let o = c - -31.2. Which is bigger: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/808 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 16) to base 10\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 10*c**2 - 12*c - 15. Calculate o(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**5\/5 - 172*a**4 - 49*a**2\/2 - 59*a - 8873. Find the second derivative of j(v) wrt v.\nAnswer: 24*v**2 - 4128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/4 - 7*s**3\/3 - 37*s**2\/2 - 14*s + 10. What are the prime factors of k(12)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let j = 21 + -19. Let v(r) be the first derivative of 1\/2*r**j + 0*r + 2. What is o(v(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3042986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((9\/3108*2317)\/3)\/(3\/4)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3344986*w**5 + 38631225*w**2 wrt w?\nAnswer: 200699160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/3 + 4*a**4\/3 - 2*a**3\/3 - 4*a**2\/3 + a = 0 for a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:31 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v + 15 = 92*v. Calculate the remainder when 9 is divided by (2*-1 + v)\/((-5)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 12. Let g be m(13). Let t = g + -7. Which is the nearest to t? (a) -0.4 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t + 0*t + 0*t)*(-t - 3*t + t) - t**2 - 12*t**2 + 0*t**2)*(t + t + 0*t)*(3 - 3 - 5*t) as u*t**4 + c*t + q + x*t**2 + k*t**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -7*f - 24. Solve -5*o + 2*o - f = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -6034\nAnswer: 150850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 10 + -11 - 2 - -11 - -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 17 - 8 = 0. Let s be ((-5)\/(n\/(-10)))\/((-1)\/22). Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*b + 21, -4*b - 11 = 4*g - g. What is the units digit of b\/(-3) - 28\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*((c*c**(-4\/11))\/c)\/c*c\/(c\/c**(-3\/14))*c*c**1*c*c*c*((c*c\/(c*(c**6*c)\/c*c))\/c*c)\/c assuming c is positive.\nAnswer: c**(-397\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259581 = -7*n - 14*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/33 and 25\/(-45)*(-118)\/10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12645 - -18382. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 11 = -5*g, -231*f + 4*g + 11 = -63*f - 165*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -476900 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/41? (a) 0.4 (b) 18 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + 10)\/((3 - 5)\/(-1)). What is the closest to w in -0.3, 3, 4.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -405611 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let t(n) be the second derivative of -17*n**3\/6 + 19*n. Give t(v(p)).\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 33*s**2 - 23*s + 58. Calculate k(8).\nAnswer: -1726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 20 = -4*h, -4*j + 2*h = -x*j - 118. Let d be 1\/6 + 199791\/j. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y - 6. Let m be c(5). Let v = m - 35. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-1 + 11)*(-2)\/(-8). Sort 1\/8, -66, m.\nAnswer: -66, 1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -564*t - 481*t + 1077*t + 160 in the form b*t + g and give g.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176) + -4 + 5 - (sqrt(22) + (sqrt(1782)*1 - sqrt(1782)))\/sqrt(2)*-5.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.9, -3, 5.3, -4, -620, 0.2?\nAnswer: -620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401063 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 7*t - 2. Let c be v(-4). Factor 6 + 25 - c*u**2 + u**2 - 30*u - 4*u**2 + 4.\nAnswer: -5*(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 12) in base 5?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) + 102\/27. Let w(p) = -5*p**3 + 4*p**2 + 4*p - 1. Let v(t) = t. Let n(q) = q**3 - q**2 - 7*q. Let k(l) = n(l) + 6*v(l). Give h*k(i) + w(i).\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33530845, -33530835, -33530825, -33530815, -33530805, -33530795?\nAnswer: -33530785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:45 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18999992 = -5*a + 5*m, 3*a + 3*m - 11400012 = 0. What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -24, -43, -76, -129, -208?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4 - 4)*(488 - 5685*f + 2*f**2 + 5684*f + 237).\nAnswer: 2*f**3 - f**2 + 725*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -201*p - 4. Let g be l(-6). Suppose -54*h - g = 1066. Let n(m) = 6*m. Let y be n(-7). Is y at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 13*g**2 - 11*g + 3. Let d be a(14). Suppose 4*m - 38 - 142 = 0. Let v(b) = -m + b + d. Let k(n) = -9*n**2. Calculate k(v(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102210 + 101112?\nAnswer: -11001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 96051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 25 = -3*m + d, 0 = -3*m + d + 13. Suppose m*t = -q + 57, 4*q + 3 + 9 = 0. Solve 2*k - 6 = 2*a + k, 5*k = -4*a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p**2 - 7*p. Let s(u) = -u. Determine 2*r(m) - 14*s(m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Suppose 6 = -l + 7. What is the least common multiple of r(l) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4836*r**2. Let x(l) = -55*l**2. Let p(k) = 4*i(k) - 351*x(k). Let d(g) = -g. Determine p(d(w)).\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279462784 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3136 - 0.6864. What is the fourth biggest value in z, -1\/4, -30\/11, 0.4, -0.4?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001220221 - -210?\nAnswer: -12001220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/6)\/(d**(2\/41)*d))\/(d\/((((d\/(d*d**(-15))*d)\/d)\/d)\/d)*d**(-11)*d))**21 assuming d is positive.\nAnswer: d**(37513\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*l - 36*l - 343. What is the remainder when 24 is divided by (6 - 0) + (-7)\/l*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6444256 (base 9) to base 5\nAnswer: -1341013330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-4)\/8*-2. Let t be 1\/((0 - i)\/(-12)). Calculate the remainder when (4 - t) + 0 + 32 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -3 + sqrt(252) - (2 + sqrt(7)*4).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17))*3 + sqrt(17))**2 + 0 + (-1*sqrt(68) - ((sqrt(68)\/sqrt(4))**2*-3 + sqrt(17))).\nAnswer: 45*sqrt(17) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 divided by 576?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*h = -428, 5*o - 695 - 387 = -h. Let z be ((-8)\/6)\/(-2)*36. What is the greatest common factor of z and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = -y + 254. Put -5, 1, y in descending order.\nAnswer: 1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 122301?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = r - 4*s + 5, 5*r - 5*s = -20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 - 11*j + 9. Calculate o(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 0.8896596456.\nAnswer: 8.8896596456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 99, 204, 311, 420, 531?\n\"Answer: q**2 + 102*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 479 - 489.32. Let q = -0.06 - -0.14. Let w = q - m. What is w rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1940)\/(-3) + ((-228)\/(-36) - 6). Let p = x - 498. Solve -3*h - 137 = -p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 100486845519296?\nAnswer: -100486845519296.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4853, 1, -49, -3 in decreasing order.\nAnswer: 2, 1, -3, -49, -4853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 37*y**2 + 77*y - 21. Let j be m(-39). Let r(k) = -k**3 - 3*k**2 + 3*k + 5. Let f be r(-4). Calculate the highest common divisor of f and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/7 - 33102*h\/7 + 132376\/7 = 0. What is h?\nAnswer: 4, 16547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnmnmn. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42.4 and 1.20213462.\nAnswer: -41.19786538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.68836 years in decades?\nAnswer: 1.668836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((sqrt(2057) - sqrt(2057)*2) + 3) + (-6*(sqrt(2057) + -1*sqrt(2057) + sqrt(2057)) + -1*sqrt(2057)*-5)**2 + 2.\nAnswer: 66*sqrt(17) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 966765265?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.1. Suppose 3*g + 2*g = -30. Let n be (-42)\/15 - g\/2. Which is the nearest to w? (a) -1\/4 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(275)*1) + 2*sqrt(275)*-1*-1 + -3)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*r + 2007*r + 370304 = -1652*r - 13*r for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118689, -119257, -119825?\nAnswer: -120393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, c: 4, l: 3}. What is prob of sequence fn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/((-4)\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*j + 31*j + 13*j + 4 - 7 + 7 as z*j + u and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (1 + sqrt(468)))*4 + 3 + sqrt(1053)*2)**2 + -5.\nAnswer: 4*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 33344832*j + 92656485092352 = 0. What is j?\nAnswer: 5557472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - m**2 - 3*m - 2. Let u be s(-1). Let c be (-20)\/(-7) - u\/21. Solve -t = -0 + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10 + 2)*(507\/(-26) - -19). What is the closest to -1\/2 in 0.4, -4\/7, j, 2\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 17\/67 (c) 2\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/10*(-3645)\/13851*76\/(16\/(-4)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.4, 5, 914, -3, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.458 - -2.458. Which is greater: n or -206?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(8\/13)\/b)\/(b\/((b\/(b*b**(-1\/8)*b))\/b)))\/(b\/(b\/(b**(-4\/13)\/b)))**(-18))**(-17) assuming b is positive.\nAnswer: b**(47379\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -623415 divided by 15?\nAnswer: -41561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*k + 3072 + 3509 + 3283 = 0 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 6*b + 2*b**2 + 1 + b. Let i(x) = 6*x - 8. Let g(f) = 5*f - 8. Let l(z) = 4*g(z) - 3*i(z). Let o be l(5). Determine h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(-10*g - 1 + 17*g + 12*g) in the form i*g + o and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -22, -27?\n\"Answer: -5*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -458, -478, -502, -530, -562, -598?\n\"Answer: -2*g**2 - 14*g - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 436*q**2 + 6464*q - 1140 = 0.\nAnswer: -15, 19\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2439*q - 41510. Give o(17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v + 1. Let d be q(1). Let o = 18 + d. Calculate the remainder when 8 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 11 - 13 - 2*k. Let a be b(-1). Calculate the lowest common multiple of (-6)\/6 + (a*-1 - -9) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 12*l + 21. Let p(w) = -w**2 - 12*w - 21. Let u(a) = -4*p(a) - 3*z(a). What is the remainder when 197 is divided by u(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.2, -21\/8, -20?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/31, 5, -3\/2, -2\/7?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-11)\/q*q)\/(q**(-2\/7)\/q))\/(q*q**(-13)*q**8))**(-22) assuming q is positive.\nAnswer: q**(880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 52 + 2*z - 10 + 15. Calculate the remainder when p(-14) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3517 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-100)*(-95625)\/6375?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 12*r**2 + 96*r - 4. Calculate q(8).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 37*j - 95. Suppose 4*f = f - 3, -3*f + 1071 = 3*o. Calculate the remainder when o is divided by c(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(3 + -4) + -21 + (-1120)\/(-28)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 36*m - 47. Suppose -8573 = 13*x - 8430. Calculate g(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6518240 and 1120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.96 years to months.\nAnswer: 11651.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.118 (c) 1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*y = 10, 0*y + 11 = -4*s + 5*y. Solve -5*z = -4 - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -3 - (-3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*u + 465*u**2 - 5 - 463*u**2 - 3*u)*(4 - 10 - 12) as q*u**2 + h + l*u and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1366219, -1366216, -1366213, -1366210?\n\"Answer: 3*l - 1366222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -4562405?\nAnswer: 9\/4562405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 180 = 5*w, 6*w - w - 20 = 0. Let h = d + 61. Suppose u + 0 - h = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-45))\/(1 + (-51)\/45). Let c(p) be the second derivative of -u*p + 1\/3*p**3 - p**2 - 1\/24*p**4 + 0. Suppose c(a) = 0. What is a?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*b + 32*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) -17 (d) 4683 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11169 and 4150926.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.03, -4\/5, 0?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141.071 + -141. Let k = 0.070901 - s. Round k to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**16)**42 assuming u is positive.\nAnswer: u**2016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4103193 minus -12?\nAnswer: -4103181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 - 0)*(-6)\/4. Let s be (-2)\/(-2 + k\/(-15)). Is 4\/s + 194\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*190.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 529, -7\/6, 0.4, 25\/7 in descending order.\nAnswer: 529, 25\/7, 0.4, 0.03, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 - 3*o**2)*(20*o - 9*o - 2*o) + (-31*o**2 - 8*o**2 + 2*o**2)*(o - 2*o + 3*o) - 5*o**3 + 2*o**3 + 2*o**3.\nAnswer: -84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3837\/(-21))\/(4 + -3). Let l = c - -183. What is the biggest value in 2, -4, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v + 11. Let d be z(-8). Let a = -7 + d. Suppose 2*x + 12 = 2*t + t, 5*t - 5*x - 15 = 0. What is the highest common divisor of t and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k - 3*v, k - 15 = -0*v - 4*v. What is the third derivative of -121*j**2 + 124*j**3 + 56*j**k + 59*j**3 wrt j?\nAnswer: 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-420)\/(-176) + 4\/16 and 33\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*(-70)\/21. Let g = -0.034 - 0.466. Which is the second smallest value? (a) g (b) 9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkrt when four letters picked without replacement from txktbrkxq?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67116 + 28256 - 4803 = 47*u. Calculate the greatest common divisor of 94 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/25 (b) 86 (c) -18 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 6*a = 1220. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86472 and 0.64?\nAnswer: 55342.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 4*q - 5. Give d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 6*t**3 - 12*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - v + 6 = 0, 5*v - 4 - 1 = 5*f. Suppose 4*h + f + 4 = r, -5 = -h - r. Suppose 117 = l + 5*x, 4*l - 5*x - 568 = -h*x. List the prime factors of l.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 2*t - 2*t - 2*t to o*t + z and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*y - 14324 = 12356 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10137890 and 121\/2019500?\nAnswer: 506894500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -485\/2891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85159, 170100, 255043, 339988, 424935, 509884, 594835?\nAnswer: 679788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/45*2\/22. Let y = j - 103\/385. Which is the nearest to y? (a) -3 (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869853?\nAnswer: 3, 289951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1738970 divided by -6\nAnswer: 869485\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**2 - 4756*z - 2380.\nAnswer: 4*(z - 595)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -3. Suppose -85 = -5*i - f, k*i - 3*f - 68 = 4*i. Which is smaller: i or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(567)*2 + -1)*-3 + 1 + 4))**2.\nAnswer: -6912*sqrt(7) + 326848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50676, -50565, -50248, -49617, -48564, -46981, -44760, -41793?\nAnswer: -37972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 11*m**2 + 4*m - 30. Let t be d(11). Solve 0 = -s - 3*x - t, 0 = 4*s - 5*x + x - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 25 - 13. Let i be (-40)\/(-56)*p\/5. Let z = -1 - 0. What is the closest to 2\/17 in z, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 151\/186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = w - 9, -4*w + 89 = -2*h - 1. Solve 5*r = 2*a + 2*a - 36, 3*r + w = 3*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - h + h. Suppose 5*p = 4*p. Let q(o) = -4*o + 5*o + p*o + 0*o. Give q(m(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 11. Let h be -3 - (-1*4)\/(2\/(-5)). Let x be v(h). What is the tens digit of (-6)\/(-21) - (-3 + (-636)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((15\/20 - 0)*-4)\/(-3). Sort -19, -10, -3, l, -5.\nAnswer: -19, -10, -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**5 + 472*j**3 - 8588*j wrt j.\nAnswer: -60*j**3 + 2832*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-48)*12\/(-7). Which is the biggest value? (a) 5 (b) -2908 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - -0.08. Let f = 0.27989 + o. What is f rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -0. Let o(k) = k + 13. Let n be o(10). Solve g*m - 3 = -n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 380.94 + -376. Let d = -0.06 - f. Let o = 0.2 + -0.3. Which is the second smallest value? (a) d (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-27)\/48*-8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1172*l**2 + 5*l + 4. Let h(g) = 1170*g**2 - 6*g - 5. Give 2*h(i) + 3*w(i).\nAnswer: -1176*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75462052 divided by 50782.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -55*z**3 - 120*z**2 - 160*z. Let i(u) = 8*u**3 + 17*u**2 + 23*u. Let c(g) = 20*i(g) + 3*s(g). Let c(b) = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 502 - 386. What is the greatest common factor of f and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 5*x + 2. Let g(u) be the second derivative of u**4\/12 - u**3\/6 - u**2\/2 + 131*u. Calculate d(t) + 6*g(t).\nAnswer: 3*t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-8) + 1\/(-4). Let s(x) = 7*x - 4. Let p(r) = -8*r + 4. Let m(l) = 4*p(l) + 5*s(l). Is m(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 75*o - 78*o + 153*o + 156*o**2.\nAnswer: 156*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let u be 102 + -2 + -2 + v. Suppose 0*m - u = -5*m. Solve 2*r + m = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42254 (base 7) to base 13.\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - 111111101?\nAnswer: -110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/20 - 3*n**4\/4 + 9*n**3\/2 + 7*n**2 + 16*n. Is 20 a factor of x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -97*l**2. Let c(i) be the first derivative of 0*i - 128 - 1\/2*i**2. Calculate s(c(f)).\nAnswer: -97*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 797679, 3190651, 7178935, 12762525, 19941415, 28715599, 39085071, 51049825?\n\"Answer: -u**3 + 797662*u**2 - 7*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14859 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 29 = 13. Solve 7*w + 4*n = 3*w - l, w + 5*n - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -104.6. Let w = 106 + p. Let u = -1 - -0.6. What is the closest to w in -0.3, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5282272 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -24 + 9 - -22?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-28))\/(5 - 726\/154)*-12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127792 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 27*j + 855. Let z be 76\/j + 4\/30. What is the smallest value in z, -0.9, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01776589287 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 13286463?\nAnswer: -8\/13286463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2577179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-210) - (-9)\/7. Let l(m) = 35*m**3 - 2*m + 1. Give l(s).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhl when four letters picked without replacement from llhhllllll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-15)\/2))\/(22*52\/17160)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9658 - 221*b - 209*b - 46*b.\nAnswer: -476*b + 9658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 - 2*j - 2. Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.16 or -0.1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.98 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44.33653 * 3\nAnswer: 133.00959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(35)\/sqrt(45) + -4 + sqrt(21)\/sqrt(3) + (1*sqrt(112) + sqrt(112))**2 + sqrt(77)\/(sqrt(77)\/sqrt(7))) + -1.\nAnswer: -1348 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10854 divided by -2?\nAnswer: -5427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1)*6\/(-8). Let y = -1 - m. Suppose 0*r - y*r = -6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*r = -875, 5*i - 15*r + 887 = -17*r. Let l = -95 - -10. Let d = l - i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-7)*112\/(-224). What is the closest to -0.2 in u, -2, 3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1340 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 33.62. Let t = 0.08 - g. Let j = -8 + 6. Which is the nearest to 0.7? (a) 1\/7 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veveeeeevvvev. What is prob of sequence eee?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -358 (b) -0.5 (c) 0.1 (d) 0.3 (e) -0.1 (f) 8\/25 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 6. Let f(k) = -3*k - 7. Let o be (7 - 2*(4 + -1)) + -6. Give o*f(w) - 6*l(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.85 + 0.05. Let d = s + -1.2. Which is the closest to -0.1? (a) 3 (b) -1\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - n**4 + 2*n**4 + (-4*n**3 - n**3 + 32*n**3)*(2 + 2*n - 2).\nAnswer: 55*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12033301 (base 4) in base 15?\nAnswer: -78aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 3\/31, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (20\/5 - 0). Solve -i - 4*p = -p - n, -15 = 2*i - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7092.075 milliseconds in nanoseconds?\nAnswer: 7092075000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12482, -12484, -12486, -12488?\n\"Answer: -2*t - 12480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*i + 16 = -9*b, 2*b = -2*i - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 690710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*k = 4*k - 5, -3*v + 13 = -5*k. Let f = -51 + 85. Suppose -5*p + v = -f. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8571785*m**5 - 6430*m**2 + 539*m wrt m?\nAnswer: -514307100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10755 - -10943. Let w = -59 - -97. What is the remainder when m is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopa when four letters picked without replacement from {o: 5, p: 2, h: 1, m: 11, a: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = d - 6*d. Suppose -60 + 180 = d*b - 5*h, 2*b + 3*h - 58 = 0. Suppose b = s + 8. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlp when three letters picked without replacement from plllarrprw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*i**3*n + i**3*t*u**2 - 2*i**3*t + 2*i*n*t*u**2 + 40*i*t*u**2 - 2*n*t wrt i.\nAnswer: 114*i*n + 6*i*t*u**2 - 12*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*p**3 + 1341*p**2 - 207168*p + 25875.\nAnswer: 3*(p - 69)*(p + 125)*(8*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2 - (7 - 7). List the prime factors of (7 - (-9)\/(-3)) + f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 w when three letters picked without replacement from {z: 1, d: 1, w: 1, c: 1, e: 2, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -198*s + 2908. Give w(16).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 15) in base 6?\nAnswer: 10334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 10*q**2 - 10*q + 7. What is c(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let r(m) = -3*m + 3. Let v(g) = -3*i(g) - r(g). Let l be 2*(0 + 1) - (1 + -1). Let f(u) = -3*u**l + 4*u**2 - 9*u**2. Determine v(f(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3\/5, 152.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82305 divided by -27435.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9652*u - 9704. What is r(1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 212*x - 206*x - 18. Solve 4 = -6*r + 5*r, -x*r - 10 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/1120 + 286\/(-28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d = 293, -5*f + 28 = d - 687. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281258044?\nAnswer: 2, 277, 313, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 40121400.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3652, -2\/7, -2, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.8 + -8.5. Let b = -4.031 + 0.031. Sort i, -27, b in increasing order.\nAnswer: -27, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.3. Let w(m) = -405*m - 406. Let i be w(-1). Sort -3\/7, -4, i, r.\nAnswer: -4, i, -3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 25. Suppose 0 = -3*s - 2*y + n*y - 37, 0 = y + 1. Which is smaller: -44\/3 or s?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 (base 12) to base 13\nAnswer: 36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 626.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 * 0.2\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 2 + sqrt(1216) + sqrt(1216) + sqrt(1216)*1) - (1 + (0 + sqrt(1216) + 4)*1).\nAnswer: -2 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14526609 to the nearest integer?\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6, 19 = -2*x - 5*y - 31. Let u = x - -15. Let i be (u\/3 + 0)*18\/(-15). Solve -4*t = -i*h - 6, 3*t = h + h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935439243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 - -3) + -3)*-4. Let d be z\/190*5\/(-2). Sort d, 1\/3, -0.4 in decreasing order.\nAnswer: 1\/3, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + (2 - 0). Let k be (-8 + 0)\/(1\/2). Let g be (k\/(-20))\/1 - 1. What is the closest to v in g, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*u**2 - 16*u**2 - 8*u**4 + 29*u**2 - 6*u**5 wrt u.\nAnswer: -360*u**2 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*a**2 - 576*a + 576*a)*(-2 + 0 + 1).\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 6, 5*y - 10 = -254*d + 249*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -2. Let q(n) = 44*n - 248. Let u(x) = -86*x + 502. Let j(m) = -7*q(m) - 3*u(m). Calculate the smallest common multiple of h and j(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26 + 25)\/(2\/6). Is 19 a factor of g\/(-2)*1172\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -0.06 (c) 1\/2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 49 = -4*q, -5*q = -9*s + 11*s - 28. What is the lowest common multiple of 425 and s?\nAnswer: 8075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2776908, -2776896, -2776876, -2776848, -2776812, -2776768, -2776716?\n\"Answer: 4*p**2 - 2776912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-12 - -23) + 21 - (9 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -6052 - 63*i**3 + 3*i**4 - 207*i**2 - 213*i - 5988 + 11968 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 516 + 15?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 - 1 + s. Let z(m) be the first derivative of m**6\/72 - 4*m**3 + 2. Let k(r) be the third derivative of z(r). Calculate k(u(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49906686 or 49906687?\nAnswer: 49906687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5333 is divided by 1082?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 2:03 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -7694 and -7558 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23868 and 27604668.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*j + 12*j**2 - 120*j + (3*j + 3*j - 3*j)*(0*j + j + j) as x + y*j**2 + v*j and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/12)*22\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21100012020 (base 3) to base 11\nAnswer: -99609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 80032*g - 1464. Let s(f) = 491*f - 9. What is -488*s(c) + 3*u(c)?\nAnswer: 488*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = a + 126 - 477, 2*a + 10 = 0. Let k = -41 - z. What is the remainder when 44077\/187 + 90\/306 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/4 + a**3\/6 + 2*a**2. Let f = 4642 - 4646. Let k(t) = 5*t + 1. What is f*k(v) + 3*d(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(575\/46)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0.3\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, l: 3}. What is prob of picking 3 b and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 11175.42 (b) 1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.18 and 7.\nAnswer: -120.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 156992*w**3 + 24.\nAnswer: 156992*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 80, 186, 344, 560, 840?\n\"Answer: v**3 + 17*v**2 + 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45518*d - 15192*d - 15182*d - 15147*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from vwvwvvwvvwvvvvvvvvv?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = 34, 4*u = -p - 20. Let g = -1290 + 11614\/9. What is the nearest to g in -2\/13, -1, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61179109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11651, -23261, -34885, -46529, -58199?\nAnswer: -69901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in -1\/7, -96, -39, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from mjlmmmflm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5420, 10537, 15654, 20771, 25888, 31005?\nAnswer: 36122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -2*l. Suppose -2*i + l = -8. Solve -4*r - i = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 37*o - 114*o - 11 + 33*o + 45*o + 3. Let b(j) = -1. Give 2*b(z) - i(z).\nAnswer: -z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(88)\/sqrt(539)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4163136*d**5 - 2983244*d**2 wrt d.\nAnswer: -249788160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 c when three letters picked without replacement from mkkdmkdkmkckmd.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -546*b + 47528. Calculate k(87).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -58974.\nAnswer: -2\/29487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/189*(-180)\/(-100).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4486552 years to millennia.\nAnswer: 0.0004486552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**3 + 5*l**2 + 5*l + 3. Let v be 1 - -2 - 21\/7. Let i(r) = -3*r**2 - 2 - r + v*r**2 - r - 5*r**3 - r. What is -5*i(m) - 3*k(m)?\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1*-4)**2 + sqrt(448) + 2.\nAnswer: 8*sqrt(7) + 7170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43920 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -33*o - 627. Let u be f(-25). What is the highest common factor of 486 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 131 - 126 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 9 = 11*f. Let v(z) = 2*z - 3. Let a be v(f). Suppose a = -14*o + 17*o. Which is smaller: 2\/79 or o?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5496\/18*6\/4. Let d = c - 192. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -54, -59, -46, -3, 82, 221?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 14 = -3*i, 4*i = 2*x + 3*x + 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*z - 50*t = -140, -5*z - 1950*t + 1945*t + 38 = -2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 208*(1 - (-4)\/(-48)*6). What is the common denominator of (-8)\/u*12\/22 and 62\/117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 371 = -f, -2*f + 9*r - 4*r = -720. Let g be (f\/(-40) - -5) + 2 + 2. Is 0 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5913)\/292 - ((-4)\/14 + 27\/21) and -87\/190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2200547\/395 - -5571. Let z = 31 + -32. Is z at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -268, -300, -354, -436, -552, -708, -910?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e11ce - 3?\nAnswer: 1e11cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 97069160849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*o + q, 5*o + 4*q = 38 + 2. Let v be (o - -5)*(0 - -1). What is the highest common divisor of v and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68240 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1175 and 0.029.\nAnswer: 34.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -21000110?\nAnswer: 21000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 383798 and 4989374?\nAnswer: 4989374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21861241 is divided by 1249?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6651.693 + -0.6.\nAnswer: -6652.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4739, -18955, -42651, -75827, -118483, -170619, -232235?\nAnswer: -303331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -7*c + 148. Let p = -67\/4 + c. Let z be (3\/(-5))\/((-3)\/15). Is p bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16350?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24393 at least as big as 24385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 52*z = -4*x + 7219, -4*z = -x - 5792. Which is smaller: 1443 or z?\nAnswer: 1443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 56, 128, 248, 428?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**5 + 2*l**4 + 731979*l**2 + 30661783*l wrt l.\nAnswer: 100*l**3 + 24*l**2 + 1463958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 101456.\nAnswer: 101456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvkszvxvvvzzvvvs. What is prob of sequence ksv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 less than -1.076975185483?\nAnswer: -25.076975185483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109.8*97799.\nAnswer: 10738330.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/2, 2, 0.1 in ascending order.\nAnswer: 0.1, 2, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 36*j - 286. Solve -36 = j*o - 13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568167*x**2 - 568656*x**2 + x + 1137459*x**2.\nAnswer: 636*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/40915 and -7\/20.\nAnswer: 163660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -52. Solve u = -4*u + 2*n - 13, -2*n = 2*u + k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1388 (base 13) to base 6\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 - 39 - (705 + -703)) + -1 + 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 82 - 10. Let m = 22 - r. What is the second smallest value in m, 1.2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**7\/14 - 3*x**5\/20 + 202*x - 1. Determine i so that t(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 648 * -0.07.\nAnswer: -45.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 47*d + 62*d + 5985 = 0 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 124*v + 7938. Let z be q(-64). Solve -29*j = -34*j + 2*o - 33, 0 = -z*j + o - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*b**4*f**3 + 7*b**3*f**3 + 9376*f**3 + f**2 with respect to b.\nAnswer: -380*b**3*f**3 + 21*b**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -16. Let z = -39 - k. Calculate the remainder when 25 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13 = k + 5, -g = 4. Let i(z) = -z**3 - 20*z**2 + 45*z + 49. Calculate the remainder when 0\/2 - (-79)\/1 is divided by i(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-2))\/(6\/4). Let j(b) = -11*b - 3 - z*b - 5. Does 18 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405*g - 41214 + 41214.\nAnswer: 1405*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Let l be (-1)\/t + (-43)\/(-7) + -4. Suppose -5*r = -4*g + 191, -g + l*r + 243 = 4*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1331)\/(-121) + (32\/(-40))\/((-2)\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.94 - 11. Which is the third biggest value? (a) 0.6 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.7, -0.5, -1.9, 0, 0.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 381, 8.874, -5\/3, -0.4, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -520000 + (-2)\/(-1) + -2. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*k = -266*k - 3248. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 104. What is the highest common divisor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 5*p - 21, 5*p = 25. Let u(k) = 345*k**2 + 5*k + 3. What is the tens digit of u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-174)\/(-1566))\/((-4)\/9). Which is the second biggest value? (a) -0.1 (b) 0.05 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b + -3?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 823*m**2*q**2 - 5736*m**2*q - 281*m**2 - 3413*m*q**2 wrt q.\nAnswer: 1646*m**2 - 6826*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 4*z + 5*z)*(5*z**2 + 5*z**2 + 2*z**2) - z**3 - z**2 + z**2.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -807*c + 3748. Determine i(3).\nAnswer: 1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/4452 and -11\/736064?\nAnswer: 2208192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -44608?\nAnswer: 13\/44608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g = 39*g - 406. What is the highest common factor of g and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-42 - (-52 - -54 - (6 - 0)) - -8)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 16177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359086290*c + 359086290*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g*q**3 + 604*g - 6*q**3 + 3*q + 1 wrt q?\nAnswer: 12*g*q**2 - 18*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20453646 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*r - 12*r - 2*h, -3*r = h + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/34*(-8)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7339 = -12*c - 571. Is c smaller than 565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = -y. Suppose -2 = -2*v, y*v - 12 - 8 = -i. What is the least common multiple of 20 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - 2. Let i = -0.006 - 4.994. Which is the closest to 0.1? (a) -3 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2052 + 2041. Sort x, -3, 3\/5, 2\/41 in decreasing order.\nAnswer: 3\/5, 2\/41, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z - 15. Suppose 0 = -700*q + 691*q + 27. Determine a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8316220 by -4.\nAnswer: 2079055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j + 14. Let z = -309 + 314. Calculate y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 2*k + k)*(2*k**2 - 3*k**2 + 2*k**2) - 44*k + 44*k - 54*k**3.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.30559 centuries in months?\nAnswer: 65166.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909.7 minus -1382239579?\nAnswer: 1382241488.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - -11) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 68. Let i be l(-21). Solve y = -4*q + i, -2*y - 5 = -3*q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20, -2*v - 2*i = -3*i - 148. Suppose -209 = -5*r + 4*h - v, 33 = r + 2*h. Calculate the highest common divisor of r and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-48) + 17\/6. Let d(o) = -o - 4. Let t be d(-7). Are t and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-4 + 2)\/2. Let w = 49 + m. Is 29 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4*(-9)\/(-6))\/(-3). Suppose 0 = -b*g - 4*s + 235 + 351, g = -4*s + 287. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -27. Let r = g - 45. Find f, given that f**5 + 0*f**5 - 4*f**5 + 6*f**2 - 3*f**3 - r*f**4 + 6*f**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*(-1300)\/5400)\/((-21)\/9)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 6*h + 2*h - 6*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - 918 = -44*i. Let w = i - -153. Solve w = -y - 5, 2*k - 4*y = 9 + 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2*3\/6. Let l = k - -5. Let c = l + -1. Solve 0*o = c*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0*g**3 + 3\/10*g**5 - 2*g**2 + 0*g**4 + 0 + g. What is the derivative of w(r) wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118018947.\nAnswer: 3, 17, 2314097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 13) to base 5.\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2912, -2858, -2742, -2522, -2156, -1602?\n\"Answer: 7*g**3 - 11*g**2 + 38*g - 2946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5699, -11569, -17457, -23363, -29287?\n\"Answer: -9*m**2 - 5843*m + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011000000001110101 (base 2) to base 12.\nAnswer: -1105499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9959312 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, -0.03, -0.4 in descending order.\nAnswer: -0.03, -1\/6, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y**3 - 33*y**2 + 33*y**2)*(10 + 13 - 6)*(-4 + 1 + 10).\nAnswer: -2023*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4695*l - 694850. What is d(148)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -59*n**3 - 6*n**2 - 8*n - 1. Suppose 1 = -6*b - 11. List the prime factors of x(b).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757.2002989 rounded to 1 dp?\nAnswer: -757.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -29*((-6)\/4 + (-14)\/(-28)). Find the third derivative of -5*m**4 - 8*m**4 + c*m**2 + 5*m**2 + 18*m**4 - 2*m**4 + m**5 wrt m.\nAnswer: 60*m**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 4. Let j be s(-5). Suppose j + 43 = 3*t. What is the greatest common factor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 times -9.45274?\nAnswer: -576.61714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2. Let u be 21\/(-27) + 1 + 182\/(-9). Let b be 3 + (-12)\/(u\/(-5)). Let q be r(b). Solve 0 = 5*d - 3*a - 2*a - 5, q = -2*d - 3*a - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7641 is divided by 594.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3073.\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 50*n - 1649. Give w(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 13. Let f be s(5). Suppose -f*l + 167 = 4*v - 3*v, -3*v = -5*l + 390. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -7*g**6\/2 + 27*g**5\/5 + 57*g**4\/4 - 13*g**3 - 18*g**2 + 12*g - 7112. Determine f so that b(f) = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -11*z**2 - 4246*z + 1127. What is the first derivative of l(t) wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 34*b**4 + 8*b**3 - 3*b**3 + 35*b**4 as h*b**2 + f*b**3 + w*b + g*b**4 + o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119684678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06752 from -0.4.\nAnswer: -0.46752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19568 is divided by 2295.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 684\/7*h - 2523\/7*h**3 + 24\/7 + 4698\/7*h**2.\nAnswer: -3*(h - 2)*(29*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 8 + 2*v + 10 in the form t + o*v and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 - 15*u**4 - 47*u**3 - 29*u**2 + 48*u + 44 = 0. What is u?\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176131 and 641526?\nAnswer: 7056786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 11 = n, 5*t + 17 = 2*n + 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28184 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: What are the prime factors of 29894?\nAnswer: 2, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-474)\/(-24) + -5 - 14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or -174\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*q + 2*q = -22, -5*f - 5*q = -135. Solve 0 = 13*o - 0*o - f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b062 (base 16) to base 4.\nAnswer: 223001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(156)\/sqrt(3))**2 - sqrt(13)).\nAnswer: -5*sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 2*g**2 + 3*g**2 - g**2.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0241 - -430.9759. Let h = z + -431.714. Round h to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -54*u**2 - 7*u - 6*u + 42*u**2. Let c(w) = w - 5 + w**2 + 2 + 3. Let r(q) = 6*a(q) + 78*c(q). Let v(x) = -3*x. Give v(r(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*l**4 + 13*l**4 + 18*l**4 + 3*l**2 + 1 - l**3 - 50*l**4 + 148*l to the form a*l**4 + q*l**3 + w + f*l**2 + z*l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 10. What is the lowest common multiple of 2 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + s**3 - 9046 + 9050 + 0*s**2 to b + g*s**2 + k*s**3 + x*s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -1544?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*f. Let k be -1 - (13 - f)\/(-3). Solve -4*o - 7 = -2*o + c, -k*c + 2 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/(-5488))\/(15\/(-70))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (6*(-4*sqrt(1300) - sqrt(1300)) - sqrt(1300)))*-4*-6)**2.\nAnswer: 1428480*sqrt(13) + 719606016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:48 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:14 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 + 2*b + 2. Let o be y(0). Factor -s**4 - s + s**5 - s**4 + 3*s**2 - s**o.\nAnswer: s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let i = -1708.8 + 1709. What is the closest to o in i, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103010.\nAnswer: 2, 5, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/360 - p**4\/24 - p**2. Let b(j) be the second derivative of r(j). Let y(c) = 0*c - 2*c + 4*c. Determine b(y(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxvvxxvxxxxxxxx. What is prob of picking 3 x?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*-0.04938.\nAnswer: -3.4566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 121*x - 8352 = 186*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223971 and 69696.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4607 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -432?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*i = -8, 5*i + 2 + 0 = b. Let w(z) = -4*z. Let j be w(-1). Let t(r) = -1 + j*r**2 - 11*r + 4*r + 6*r + 2*r**3 - 6*r**2. Calculate t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - 7*c**4\/24 - c**3\/6 - c**2. Let q be x(6). Let w = 7 - q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 21*j - 3. Let h be d(5). Let i be (-1 - (-4 + h)) + 2 - -2. Solve 2*y - 5*w + 8 = -0*y, 0 = 5*y - 5*w + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 1453*o**5\/20 + 944*o**2 - 513*o. Differentiate n(m) wrt m.\nAnswer: 4359*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - 2*x - 5. Let i be t(-5). Suppose -5*j = -i - 5. Solve -j*c = 2*c + g - 4, 5*c - 2*g = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 12:45 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/((-1)\/3). Is (-2)\/h - 123\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*h + 4 + 2, -m + 4*h = -12. Let z be m*(-1)\/2 - 2. Let i = -0.14101 - 0.15899. What is the third smallest value in i, -5, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2. Let w be (-10)\/(-2) + -3 + 0\/2. Let r(q) = -39 - 5*q**2 + 23 + 18 + w*q**2. Calculate r(a(t)).\nAnswer: -27*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/19, 20, 57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 3*y + 4*w, -9 = -4*w + 7. Let q = -121 + y. Let f = q + 30. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24536, -48254, -71936, -95564, -119120?\n\"Answer: 3*c**3 - 23739*c - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3031705 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -496, 41174 in descending order.\nAnswer: 41174, -4, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 3) + -15 + 4 + -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 181*p**2 + 26 - 3*p - p + 345*p**2.\nAnswer: 164*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31102828 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 - 11*f + 66985. Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -7 + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 11*v + 80. Let l(b) = -3 + 7*b - v*b + 13*b + 7*b. Is l(-11) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let x be (-7)\/(9 + -37)*-6. Let g = -3.4 - -3. What is the nearest to -1 in g, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 4:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -361*c**8\/56 + c**6\/10 + 223*c**4\/6 + 574*c + 1. What is the third derivative of n(y) wrt y?\nAnswer: -43320*y**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*b - b + 53, 3*i = -6. What is the remainder when (2 - -22) + (144 - 114) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzm when three letters picked without replacement from {s: 1, h: 1, z: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 6*m - 8. Calculate the remainder when v(4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 3*m - 1. Suppose -36*h + 62*h - 35*h = -63. Let v(g) = -9*g**2 - 5*g - 1. Calculate h*p(c) - 4*v(c).\nAnswer: c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daad when four letters picked without replacement from {d: 3, a: 4, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 19*s + 7. Is o(-14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*g - 76, 4*g + x - 1004 + 922 = 0 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/(-4))\/(1275\/44 - 29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = 5*w, 3*g + 5*w - 1 = g. Find the second derivative of -11*x**g - 6*x**3 - 10*x**3 + 9*x + 10*x wrt x.\nAnswer: -162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) 0.3 (c) -61\/5 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 1. Suppose -4*c - 5*h = -33, 4*c + 5 = -c + 3*h. Let z(w) = w**2 + w - 2. Let g be z(c). Calculate x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/19 or -25?\nAnswer: -34\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7999814.75 to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvvvugvavlvul. What is prob of picking 1 a and 1 l?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22708 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-14)*k\/(k**15\/k)*k assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m - 1 + m - 2*m)*(6 + 8 - 15) as l*m + q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0. Let z = -9096.681 - -9096.48099996. Let o = z - x. What is o rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548340 divided by 10?\nAnswer: -54834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/9 - 1283726*i**2\/9 - 17972017*i\/9 - 20967296\/3.\nAnswer: -(i + 7)**2*(i + 1283712)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110120010120020 (base 3) in base 13?\nAnswer: -14c93ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let l(z) = z**2 + 3*z - 3. Let b be l(-5). Suppose -h*y = -b - 29. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-14) + (-19152)\/(-1862).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/30785 in -1.3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5, g: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b**(-2\/23)*b))*b)\/(b**1\/b)*(b\/(b**5\/b))\/(b\/b**(-3))*(b**(-4\/5)*b**(-4)\/b)\/(b\/(b*b**2)*b)**(-28) assuming b is positive.\nAnswer: b**(-4587\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*h + 146441 + 325920. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 16) to base 3.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/18*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886339 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3862a - -4?\nAnswer: -38626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/(-120) + 3\/(-510) and 31\/357.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -3. Let i = -7.6 - y. Which is smaller: i or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 33\/12. Suppose 4*h + 5*b = 37, v*b = h - 2*b + 22. Solve -h*m - 4*z = -2*z - 21, 0 = -3*m + 2*z + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let v be (2 - (-24)\/(-9))*(10 - 13). Let b(p) = -36*p**2 - 34*p**2 - 38*p**v - 41*p**2. Determine t(b(s)).\nAnswer: -66603*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2180352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46789140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.25. Which is the smallest value? (a) 1\/6 (b) h (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -4*y + o, 3*y + 5*o - 179 = -209 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2930?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -61*t**3\/2 - 9*t**2\/2 - 38*t. Let d be u(-6). Suppose c - 10*c = -d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(320) + 1 - sqrt(5)) + (sqrt(5) + -3 - sqrt(5)) + 3 + -2 + 0)**2.\nAnswer: -1476 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/15, -11, 0.5, 0.094, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -81, -125?\n\"Answer: -44*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*i + 8 = 0, -2*z + i + 1 = 6*i. Let x be (z - -7)*2\/5. Solve -2*p = b - 4, b - 1 = x*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(339\/337 - 1). Let k = 888 - i. Let z = 704 - k. What is the common denominator of 31\/22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 47, 39 in ascending order.\nAnswer: -1, 3, 39, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/460 and -13\/345?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (2 - -1))*-2. Solve 2 = -v + 5, -2*u + p*v = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869350632 to the power of 1\/3, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2, -1, -74, -16, -11 in increasing order.\nAnswer: -74, -16, -11, -1, -2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/14 and (-259)\/80*11\/(-77)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*y**2 - 2*j**2*y + 11035*j**2 - 14*j*y**2 - 15*y**2 wrt y.\nAnswer: -2*j**2 - 28*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.05986956 times 0.5\nAnswer: 0.02993478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 2*k**2 - 4*k**3 + 2*k**2 - k**2 in the form o*k**3 + n + l*k**2 + y*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044881119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -91.\nAnswer: 23\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 2, r: 1, g: 1}. What is prob of sequence fgf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.02 + -1.82. Let m = -13.8 + g. Let p = 82 + -491\/6. Which is the third smallest value? (a) m (b) p (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168418737.\nAnswer: 3, 229, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2 + 118565\/45 - (-10)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 13*i**2 - 8*i + 4. Let p be l(6). What is the units digit of (-2)\/7 + p\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70191 and 0.01.\nAnswer: 701.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 308133977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-5) + 1)*(-1 - -10). Suppose 23*d = 24*d - h. What is the remainder when d is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1415 - -1403. Is v <= -0.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/56*(57770\/(-159) + (-1 + 3 - 4))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14012032 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -a9259?\nAnswer: -a9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37117266?\nAnswer: 2, 3, 929, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 17*q**2 - 2*q - 32. What are the prime factors of x(16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -339981, -339986, -339993, -340002, -340013, -340026, -340041?\n\"Answer: -p**2 - 2*p - 339978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2*f + 2. Let q(x) = -x**3 + 3*x**2 + 6*x - 6. What is 4*g(u) - q(u)?\nAnswer: u**3 + u**2 - 14*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3992)\/499)\/(52\/3).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43340085 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 512 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 319.5 times 5196.1\nAnswer: 1660153.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618463 to the power of 1\/2, to the nearest integer?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 4. Let a(h) = -h**2 - 6*h - 3. Let q be a(-6). Let i be j(q). Let t be 0 + 1 + (-9)\/7. What is the closest to -2 in 3, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 29*a + 24. Let g be r(-12). Let f(c) = 24*c - 188. Let t be f(9). Calculate the greatest common divisor of g and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 40*d**3 - 495*d**2 - 450*d.\nAnswer: 5*d*(d - 15)*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 27*p**2 + 112*p - 17. Determine t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*3\/(-2). Suppose -9*l + 8*l = 0. What is the nearest to f in -0.2, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (5 + -6)) + (-21 - -31)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -64.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 1}. What is prob of sequence qqqp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -5\/43 (c) -210 (d) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*f + 1162*f + 272008 = -1361*f - 1001*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q. Suppose 48 = 13*d - 43. Let z(m) = -d*m + 10*m - 14*m. What is g(z(b))?\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a microsecond in nanoseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 553 + -457.8. Let c = h + -89. Let p = c - 6.196. What is p rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Let d = j - 3. What is the closest to -2 in 0, 2, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-20))\/((-2)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 85 = 13. What is the common denominator of 137\/6 and 184\/t*(8\/(-16) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3100\/29 - 107. Let n = -84 + 83. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14 - 2*f + f + 0*f + 6*f. Let t be b(8). Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6.910477 days?\nAnswer: 0.987211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 90332 = 74378. Calculate the highest common divisor of o and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1973 divided by 7.\nAnswer: -1973\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*d - 34, -86*d - 16 = -q - 88*d. Factor 0 + 2\/3*r - 8*r**q - 40*r**4 + 50\/3*r**5 + 92\/3*r**3.\nAnswer: 2*r*(r - 1)**2*(5*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1030523 and 340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 913841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14039955828 rounded to the nearest 1000000?\nAnswer: -14040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 4, e: 4, y: 2, g: 1, s: 7}. Give prob of picking 1 k, 2 s, and 1 y.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 14*p + 8. Let o be x(9). Let q = o - -66. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31844, -63683, -95522?\nAnswer: -127361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 11) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -369 divided by -1\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -130*m. Let k(p) = 64*p. Give -4*g(j) - 10*k(j).\nAnswer: -120*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1662756 by -831378.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -46\/3, -1\/2, 157, -1\/4, 4.\nAnswer: -46\/3, -5, -1\/2, -1\/4, 4, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48862353 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7457 is divided by 1348?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 355*o**3 + 352*o**3 + 7*o**2 as k*o + l*o**2 + x + z*o**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**3 - 5*k**3)*(29 - 29 - k**2) - 3*k**4 + 8*k**2 + 5*k**5 - 11*k**2 + 0*k**2.\nAnswer: 7*k**5 - 3*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 134*k**2 - 14*k + 1793*k**2 + 14*k - 53*k**2. Let x(h) = -2*h. Determine a(x(l)).\nAnswer: 7496*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -825743 + 825667.9927. Let z = y - -75. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/43272 and 47\/1202.\nAnswer: 43272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*b = 0, -2*d + 5*d + 5*b + 428 = 449 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 165. Which is the biggest value? (a) t (b) 13 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 549459?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37917, 75860, 113837, 151860, 189941, 228092, 266325, 304652?\nAnswer: 343085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 73*h + 1333. Let p be k(-15). Solve 0 = -t - 3*l - p, 4*t - 31*l = -29*l + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-63)\/(-111)) + 5. Let s = -15\/14 - 3\/7. Sort 0.3, z, 0.4, s in decreasing order.\nAnswer: 0.4, 0.3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 62. Is 30 a factor of -15*(10\/(-3) - (-8)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 11*s + 11*s + (0 - 1 + 3)*(-s + 7*s - 3*s) - 2*s - 6*s - s + 3*s - 4*s + 0*s to the form b + k*s and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.137 + 1.677. Let t = -8.44 + -0.1. Let o = w + t. Put -2, -0.5, o, -5 in ascending order.\nAnswer: o, -5, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379772703.\nAnswer: 3, 19, 2220893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 0. Let d(q) = -3*q**3 + p*q + 3*q - q + 0 - 1. What is d(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5\/4*q**2 + 11\/48*q**4 - 18*q - 1\/120*q**6 + 1 + 1\/8*q**3 - 3\/80*q**5. Find t such that b(t) = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 635, 0.9, 2.1 in decreasing order.\nAnswer: 635, 2.1, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367356 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: Calculate the common denominator of -77\/180 and -3\/270020.\nAnswer: 2430180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0 + 1 + 1 - 0. Let u be 4\/(0 + s)*17\/(-34). Suppose -5*n = u*n - 525. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3906.3 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/(-1704))\/(-3 - 38\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 1, y: 1, u: 1, r: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294637539 by 3.\nAnswer: 98212513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 3*c - 6*c + 5*c. Let z(r) = 6*r**2. What is z(u(i))?\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/12 + -5\/3. Let q(t) = -t**2 + 9*t - 12. Let c be q(8). Let w(y) = -y**2 - 4*y - 2. Let b be w(c). Sort -4, b, p in descending order.\nAnswer: p, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-17)*((-18)\/(-10))\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0156318874 rounded to 5 dps?\nAnswer: 0.01563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 58.9. Let c = 0.6 + 2.3. Let p = z + c. Is 0.1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 56. Suppose -4*x + 21 = -w + 2, -w - 4*x + v = 0. Let c(u) = 90*u**2 + 2*u - 2. What are the prime factors of c(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18396 - -18386 - (119 + -1 - (-2 - -2) - -2).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13847)\/(-1589) + -1*9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 54 + 18 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)*o**(2\/57) assuming o is positive.\nAnswer: o**(61\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 417*v - 2522. Give b(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180 + -27 + -39 + -28?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (7 + 6 + -7 + (-1 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 73*o - 1. Let v be m(1). Suppose 4*u - u + 30 = 0. Let l(h) = -3*h - 6. Let x be l(u). Calculate the highest common divisor of x and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose -h*w = -3*p + 8, 4*w - 4*p = -7 - 1. Is w < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11 + 20 - v - 7 - 6. Let x be h(-10). Solve -x*q = o - 3*q + 9, 3*o + 3 = 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848909.\nAnswer: 848909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:28 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/((-2)\/(-6)). Solve 4*z - 14 = 3*n, 0*z - 5*z - q*n + 33 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 - 4*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 402?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14*6\/12*(-19)\/19\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(18\/(-381)))\/(105\/22365)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365, 1364, 1363, 1362, 1361?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 26.8. Sort -3\/2, i, -0.3, 5\/3 in descending order.\nAnswer: 5\/3, i, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 17*n + 1. Suppose -84 - 75 = -3*l. What is the remainder when l is divided by o(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*w + 8\/3 - 7\/6*w**2 + 1\/6*w**3.\nAnswer: (w - 8)*(w - 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4696*f**2 + 73*f - 10?\nAnswer: 9392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 126 = 3*p. Let q = 112 + p. Suppose -13*i + 0*i = -221. Calculate the remainder when q is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 89752.\nAnswer: 987272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.76705 take away -601.51?\nAnswer: 604.27705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 1134412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*x - 26*x - x + 3*x - 4*x + 3*x + (3*x - 5*x + 0*x)*(-1 - 2 + 2) - 6*x + 2*x + 3*x - 4*x + 5*x - 5*x to t + z*x and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 4, t: 2, s: 1}. What is prob of sequence tsbt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 2. Let r be p(-2). Let g(l) = 2*l + 3. Let i be g(r). What is the common denominator of 42\/16 - (4 + i) and -10\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61023329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1))*s**(-3))**(-33)*(s*s**(-1\/4)\/s*s)**3\/(s*(s\/(s*s*s**(-1\/4)\/s))\/s*s*s**(1\/5)) assuming s is positive.\nAnswer: s**(664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 572129?\nAnswer: 2860645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -64*a**5\/15 + 77*a**3\/2 + 349*a**2. Find the first derivative of l(x) wrt x.\nAnswer: -512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(89*f - 41*f - 92*f) in the form s*f + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.4, -217194.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25.7 times 0.15\nAnswer: 3.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = -7*m + 2*m, 2*m = -2*v + 6. Let d be (-2 - 407*m) + 2. Let k = -244 + d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17055001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24676749 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-10) - (-6)\/15. Suppose -u*z = -z. Is z equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 53*w**3 + 2*w**2 + 10*w - 20. Does 27 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*q - 102, 3*n + 163 = -2*q + 6*q. Let p = -266\/5 - n. What is the nearest to 0.1 in -1\/6, p, 4\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 - -1.1. Let p = 9 + -4. Let x = p + z. What is the closest to 0 in 3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 16262580131?\nAnswer: -16262580130.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(((-2)\/(-2))\/(-1)). Let k be (14\/(-21))\/(44\/(-21)). Let c = k - -2\/11. Sort -2\/5, c, x in decreasing order.\nAnswer: c, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(132) - sqrt(132))\/sqrt(3))**2 + (-1 + sqrt(44))*-5)*-2.\nAnswer: -100*sqrt(11) + 4010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.7 + 93. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789768973 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 1\/5*j**5 + 19 - 29\/3*j**3 + 0*j**4 + 0*j**2 + 0*j. What is the third derivative of z(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*l)*(694*l - 196*l + 77*l)*(-2*l**2 + 2*l**2 + l**2) in the form p*l**4 + j*l**3 + v + f*l**2 + z*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/2))\/x**(-8)*(x**(2\/7))**31)**(-1\/5) assuming x is positive.\nAnswer: x**(-257\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1521)\/156)\/(10*3\/120)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32260529, 32260527, 32260525?\nAnswer: 32260523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1)*i)\/i))**20\/(i**(-1\/5)*i**(6\/5)) assuming i is positive.\nAnswer: i**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**4 - 3*b**4 + 9*b**2 - 3*b**4 + 8*b**2 wrt b.\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15553 and 454436?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5681.95433 minus 17?\nAnswer: -5698.95433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**12\/b))\/b**(-4\/9)*(b\/((b**(-1\/13)*b)\/b))\/(b*b**(1\/6)\/b*b) assuming b is positive.\nAnswer: b**(-2257\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -13*a**4 + 90*a**2 - 221. What is the second derivative of i(r) wrt r?\nAnswer: -312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 940157\/138 + -6813. What is the common denominator of 13\/15 and a?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r + r**2 + 5*r - r as g*r + o + f*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3799931 (base 10) to base 12.\nAnswer: 133304b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*p - 37, -2*c + p = -p - 16. Suppose -4 - c = -3*k. Suppose -l + 24 = -4*w, 2*w - k*l + 12 + 10 = 0. What is the smallest value in 5, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/329 and 5\/4559.\nAnswer: 31913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 113*f - 879*f - 241*f - 70770 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45414.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 1*sqrt(110)*4)\/sqrt(10))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - 1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 443960, 443961, 443962, 443963?\n\"Answer: w + 443959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Let q(v) = -6*v. Let n(a) = -7*a. Let f(s) = 5*n(s) - 6*q(s). Determine j(f(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-3 + 59\/(-2)). Let i = n - -4. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 + 0 + -3)*2015\/(-9282) and -47\/182.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -684 + 674. Let v be (-19)\/(-10)*-8 + 8\/r. Which is bigger: 7 or v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 89280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/19 (b) 1\/2 (c) -2 (d) 354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11) + -2))**2 + 4.\nAnswer: -144*sqrt(11) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50932304 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*28\/(-231). Which is the second smallest value? (a) 2\/5 (b) -13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15219\/(-1691) + 440\/4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/11 + 6*f**3\/11 - 4*f**2\/11.\nAnswer: -2*f**2*(f - 2)*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 - z + 4. Let s be r(0). Suppose s*w + 22 = 122. Let x be (-10)\/w*15\/(-4). Is 2 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 652 - 391. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/6 - 1311*l**2. Let m(c) = 7*c**2 + 2 - 2. Calculate r(m(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p + 9. Let j(n) = -n - 3. Let u(r) = -3*r - 10. Let o(z) = 14*j(z) - 4*u(z). Give 9*o(b) + 2*q(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141592039?\nAnswer: 7, 4363, 37379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let a(z) be the third derivative of z**4\/8 - z**3\/3 - 6*z**2 + 8. What is a(k) - 2*t(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from dyjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1732708\/223 + -7770. Sort -5, o, -2\/11 in descending order.\nAnswer: o, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 40. Suppose g - p*f + 9 = -4*f, 0 = 5*g + f - 18. Suppose -4*k + g*s + 85 = 0, 3*k - 60 = -0*k + s. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:43 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16147, 16592, 17795, 20134, 23987, 29732, 37747?\n\"Answer: 63*o**3 + o**2 + o + 16082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*o - 2*h, -84 = -5*o + 3*h + 156. Let u = o + 0. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - 35552?\nAnswer: -40234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-7)\/105). Let g = k + -15. Let d be 27\/168 - (-8)\/(-28). Which is the closest to 1\/3? (a) d (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36111113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -657*r - 2. Let u(w) = -304*w - 1. What is -3*i(k) + 7*u(k)?\nAnswer: -157*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17990 divided by 5?\nAnswer: -3598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5377.5842 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-36)\/45)\/((-2)\/445) - 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15383654 and 8.\nAnswer: 61534616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 52120*a**2 - a + 4*a.\nAnswer: -52120*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1064 * -1\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 + 4*o + 3. Let c be f(7). Let j be (48\/c)\/(3 - 65\/21). Solve 5*k = x - j, -k + 2*k + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**4 + 3640 + 3*k - 66*k**5 - 3961 + 194*k**5 wrt k.\nAnswer: 2560*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + (-111 - -73) + 64?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/(27\/72). Let b(r) = -r. Let y(l) = -5*l. Calculate o*b(v) - y(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(13365\/30)*((-27)\/156)\/3.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3171\/10 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44435, -44787, -45249, -45875, -46719, -47835, -49277?\nAnswer: -51099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/189)\/(254\/(-889))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6729 + 6731. Let l = 0 - -2. What is the remainder when l is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/d**(-2\/11)*d))\/d*d**(1\/3))\/(d**(-1\/4))**(-19))\/((d*(d*d**(-3\/2))\/d)\/(d**2*d)*(((d*d\/d**(-2))\/d)\/d)**(-1\/12)) assuming d is positive.\nAnswer: d**(-85\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f + 37*f = -5*f + 1737252. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (101 - 96)\/(5\/4). Solve 3*f = i - 12, -a*i - 5*f - 20 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 19452.\nAnswer: 213972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132840*l**2 + 8556*l + 104 = 0.\nAnswer: -13\/270, -2\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnwmu. What is prob of sequence uum?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 777138?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79035479.\nAnswer: 479, 165001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 4*u, 0 = 4*d + 2*u + 3 - 1. Let n(q) be the second derivative of q**5\/20 + q**4\/12 + 7*q**2\/2 + 6*q. What is the units digit of n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 - (94\/(-12) + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215669 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199555?\nAnswer: 5, 107, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)\/sqrt(9))\/sqrt(3) - (sqrt(468) + -2))**2 - (4*(sqrt(325) + 3 + sqrt(325)) + 5).\nAnswer: -60*sqrt(13) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*-0.5.\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1426826 or -1426830?\nAnswer: -1426830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1396? (a) 0 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*i, 123*l - 2*i + 367 = 112*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169748507?\nAnswer: 169748507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1001 = 1011 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 27 = q + 2*q, 3*u - 51 = -5*q. Suppose -2*g = -5*c - 39, g - q = 3*c - 8*c. Solve -l = 2*x - 9, -2*x + 6*x - g = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96252442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/4 (b) -3\/8 (c) 4227 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 669688*m. Let x(y) = -y. Determine x(b(u)).\nAnswer: -669688*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2436 = 254*d - 370*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 + 9 = 0. Let f be (4 + (-222)\/9)*3\/y. Suppose f*p = 32*p. Solve -5*q + 3*r + 16 = 2*r, 3*q - 3*r = p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w + 2. Let f be c(1). Let i = -4 - f. Solve 0 = 2*y - 0*y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 40 = -c + 4*r, -5*c + 74 = 3*r. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, f: 3, e: 6}. Give prob of picking 1 f, 1 e, and 1 n.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -24*l + 17*l. Let m(y) = y**2 + 35 - 2*y**l + 0*y**2 - 4. Let c(s) = -5*s. What is m(c(r))?\nAnswer: -25*r**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103651 or -103670?\nAnswer: -103651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 + 270.8. Which is the third smallest value? (a) i (b) 18 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 25*a**3 + 14*a**2 - 100*a - 36. Let s(b) = b + 1. Let j be s(2). Let q(w) = 25*w**3 + 13*w**2 - 100*w - 37. Let v(y) = j*c(y) - 4*q(y). Factor v(p).\nAnswer: -5*(p - 2)*(p + 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26315, -105349, -237065, -421463, -658543, -948305?\n\"Answer: -26341*y**2 - 11*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1242 - -1247. Sort z, 0.2, 3\/2, 0.3 in decreasing order.\nAnswer: z, 3\/2, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/17173422 and -41\/3816316.\nAnswer: 34346844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose -z - 1166333 = -p*s + 453670, -4*z - 12 = 0. Round s to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kssuuusuknjyjkn. Give prob of picking 3 k and 1 u.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -987*i - 145065. What is y(-147)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let j(p) = 237*p. Determine l(j(a)).\nAnswer: 474*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1)\/(2\/(-10)). Suppose 4*y + 8 = 4*l, -2*l + 4*y + 1 + 3 = 0. Let f(z) = -8*z - z**l + 2*z + 2*z**2 - z + 4. What is f(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18653 and 21160?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 8\/33*p**3 - 24 + 0*p**2 + 2\/11*p**4 + 2\/55*p**5 + 0*p. Factor t(w).\nAnswer: 2*w**2*(w + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-14725)\/(-75))*(2\/1)\/(-2)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 0*x - 5*x + 10*x - 8730.\nAnswer: -3*x - 8730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = n - 136, 0*n + 178 = -4*t + 2*n. Let w(u) = u**3 - 5*u**2 + u + 4. Let k be w(4). Let x = k - t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -396, -341, -244, -93, 124, 419?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.98 - -14.98. Let h = 4\/175 + -394\/1925. Which is the nearest to 3? (a) j (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -49, 0.1, 77, -3, -1.6, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1925 - -1925.0004778. What is j rounded to five decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/7)*i)\/(i*i**(2\/141)*i) assuming i is positive.\nAnswer: i**(-719\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0514 - -0.1093. Round j to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 48. Let k be n(26). Let u be (-614)\/(-12) - k\/24. Calculate the greatest common factor of 85 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11 + 8*n - 3*n - 23*n**2 + 38*n**2 - 16 - 16*n**2. Let h(k) = 4*k**2 + k. Let c be h(-1). Let s be t(c). Solve -b + s = 2*u - 6, -20 = -4*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:09 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.433l in millilitres?\nAnswer: 535433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 - 13*d - 11. Let t(w) = -7*w**2 + 7*w + 6. Let u be 2\/(-1) - (-12 + -1). Calculate u*t(a) + 6*k(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*l + 5*f, 2*l + f - 2*f - 15 = 0. Let p = 60 - l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlqqqlq. Give prob of picking 4 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 17*k + 23*k + 15, 2*o - 4*k + 0*k = -5 - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 939 divide 80957955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -1. Let t = d + 32. Which is the closest to 0? (a) -3\/2 (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:23 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from ovvzvvovzxnooz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 4. Let m be r + 5 + -2*1. Solve -2*a = 2*j - 0*a + 12, m = -j + a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/2951 - 569553\/14755. Which is smaller: i or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 390, 779, 1168?\n\"Answer: 389*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*y + 18*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p**2 - 22*p - 1767. Let i(r) = 63*r**2 - 87*r - 7054. Let m(f) = 6*i(f) - 25*l(f). Differentiate m(d) wrt d.\nAnswer: -44*d + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - -7) + -24 - (-2239 - -2) is divided by 116?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24178 and 29202?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71740733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 3*d**2 - 5*d + 21. Let y be m(5). Let r be y\/(-368) + (243\/(-8))\/(-3). Solve v = -5*a + r + 7, 5*a = v + 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1 + -1)*(-34)\/34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -77. List the prime factors of 92*1*-1*(3 + d).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 0.1 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2399535 by 479907.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17. What is the nearest to 1 in -3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 2*i - 2. Let w be q(2). Let n = -11 + w. Suppose -n = 3*v - 18. Solve 5 = v*b - 5*g, 5*b - g + 2*g + 25 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610077441 to the nearest integer?\nAnswer: 24700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 148 = 3*w. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/56512755 and -61\/7535034?\nAnswer: 113025510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-150)\/(-425)*17))\/((-2)\/(-246))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 11*v = -y + 17678, -4*v = 2*y - 35326. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -2*s - 87 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.76, 0.1, 2.13306, -4?\nAnswer: 2.13306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 9:05 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -62*s + 11. What is g(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1, -18, -1\/3 in descending order.\nAnswer: 1, -1\/9, -1\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 45418.\nAnswer: -3, 12, 45418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*p = 4*p - 4, -4*p - 20 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g - 17. Let t be n(13). Let d = 161\/6 + -27. What is the third biggest value in t, -1, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29365, -58548, -87531, -116308, -144873?\nAnswer: -173220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmeemlm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6430, 12655, 18880?\nAnswer: 25105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -4 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 103.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 17*q + 33248 = -14*q, 2*q - 4 = 0. List the prime factors of m.\nAnswer: 2, 11, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 + 14*b - 19. What is the units digit of l(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6848240 is divided by 6848105.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-162) - (-26)\/(-288). Let z(g) be the second derivative of 0 + 1\/8*g**3 + 1\/4*g**2 - 4*g + v*g**4. Solve z(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4706575 to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8393.533l?\nAnswer: 8393533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1*sqrt(153)*1 + sqrt(153))\/(sqrt(9) - -2*sqrt(441)) - (-1*(1*(0 + sqrt(1377)) - -5*(sqrt(1377) - (1 + sqrt(1377) + sqrt(1377)))))**2.\nAnswer: -22057 - 5399*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*z)\/z)**(-8\/3) assuming z is positive.\nAnswer: z**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-25056)\/1015)\/36)\/((-600)\/280).\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 11*r - 15. Let w = 278 + -273. Let i be j(w). Solve -3*x + i = h - 6*h, -x = -4*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 145*v**2 + 3447*v + 388. Calculate g(115).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23525 - 2?\nAnswer: -23530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/32*2872\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxmmmxxmmmxmxmmxmm. What is prob of sequence mxmx?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -17970\/17 (c) 0.18 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.176 millimeters in nanometers?\nAnswer: 292176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21523 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -7\/901, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i - 4*f - 6, 4*i - 24 = 4*f. Find the second derivative of 3*g**4 - 4*g**4 - 2*g**i - 3*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113166.7105 rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2108, -110, 0.3, -8, -3 in increasing order.\nAnswer: -2108, -110, -8, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 30562*f**2\/9 + 12971022*f - 12974418.\nAnswer: 2*(f - 1)*(f + 7641)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366221 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/((w\/(w*w**14))\/w*w))\/(w\/w**(-19))**(-49) assuming w is positive.\nAnswer: w**(3975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 7*o - 9. Let i be s(-4). Suppose -r = 3*g - i*r - 449, 5*g - 746 = r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 152*g - 7 + 7 + 3*g**2 as t*g + b + a*g**2 and give t.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2. Let k(o) = -3*o**2 + 12. What is k(f(s))?\nAnswer: -27*s**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 6*o**2 + 2*o**2 + 2*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10)\/(-25)*(-3 - 27) + 35629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let w = -4140 + 20698\/5. What is the nearest to 1 in w, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -107057266978.\nAnswer: -107057266981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3136*j + 63 = -3129*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 16 - (-37 + (-17 - -15))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 45, 2, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*u - u - o, -u + o + 2 = 0. Let s(a) be the first derivative of -a**2 + 4*a + 15. Let f(p) = 3*p - 5. Give u*s(v) + 3*f(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118389043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4528\/(-78) + 2824\/55068?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10010001000111 (base 2) to base 10\nAnswer: -9287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88a (base 15) to base 10.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/27, 3, 2, 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a + 2*a - 3*r, -r = 4. Suppose -2*x - 1 + a = 0. Let s = 6 - 2. Solve o = x*o + s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q - 345*q**2 + 829*q**2 + 1 - 22*q.\nAnswer: 484*q**2 + 48*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 3 (b) 0 (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -2.320493\nAnswer: -0.2320493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 37*v**3 + 36*v**2.\nAnswer: v**2*(v - 36)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/22)\/(61\/61)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 437, 904, 1543, 2360, 3361, 4552, 5939?\nAnswer: 7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192267211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -39. Let h(g) = g - 1. Let a(l) = 6*l - 3. Let o(q) = n*a(q) - 6*h(q). Is 4 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/24 - 121\/312. Let p = -3 + 2. Which is the nearest to -1? (a) p (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.3 (b) 1\/12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/52360 and 191\/891240.\nAnswer: 166661880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Let l be j(-22). Let d = l + -18. What is the greatest common factor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -1.2659065946.\nAnswer: -0.2659065946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjttttjtjj. Give prob of sequence tj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*r**3 - 1 - 14*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -343 and -31\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 21 (b) -347 (c) 4 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 2, v: 4, t: 2, f: 1, a: 3}. Give prob of sequence fh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {z: 1, n: 1, d: 1, x: 2, q: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 5 = -2*c + 2*s, -4*s = c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 26\/75, 5, -1\/3?\nAnswer: 26\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 3, -644\/3, 0.036, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let s = 0 - -5. Let m(w) = s*w**2 + 114*w - 114*w. Determine m(n(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f. Let c(b) be the third derivative of -11*b**5\/30 - 57*b**2. Give c(y(t)).\nAnswer: -352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 8*k - 5. Let d be t(4). Let b = d - 2. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**2 + 12*y**2 - 8 - y**4 + y**5 - y**4 - 10*y**2 wrt y?\nAnswer: 60*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 4115?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 4, d: 3, t: 4, i: 5}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6) - (-35154)\/1701.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3954\/11 in 0.013, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -39\/43 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23437\/(-9911) - (2 - 2). Let r = 7544074\/901 - 8373. Let p = r + f. What is the common denominator of p and 32\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6339 minus 147?\nAnswer: -148.6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - 4*y)*(3*y**3 - y**3 - 3*y**3) + y**4 - 2 + 2 - 226*y**4 + 782 - 782 + (-2*y**3 + 0*y**3 + y**3)*(-3*y + y + y).\nAnswer: -222*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {e: 4, n: 1, v: 2, f: 2, m: 1, l: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*l**4 + 106*l**4 + 2593*l + 1 - 2594*l + 11*l**3 to j*l**2 + u*l**3 + b + i*l**4 + y*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6166322 is divided by 1319.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:19 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4393 + -0.1393. What is the nearest to 3 in -5, t, -0.3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23744 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: Calculate the common denominator of -11\/10 and 48\/133.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -59949 (base 10) to base 8\nAnswer: -165055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-9) + -1 - ((-1241500)\/(-360))\/(-325)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6. Let n(m) = -2*m**2 + 14*m + 16. Let h be n(8). Calculate a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb95a4 (base 14) in base 12?\nAnswer: -216b178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(4\/5)*g*g**16*g*g\/(g**6*g)*(g*(g\/(g**(-1\/2)*g))\/g)\/g*g assuming g is positive.\nAnswer: g**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.5, 2.5, -2.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1988238177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88502762 is divided by 129.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 + (-197298)\/(-3726))\/4 + (-4)\/9.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) + 4.\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -20152656368377.\nAnswer: -20152656368376.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, y: 4}. What is prob of picking 1 w and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1368 and 941472?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 971*m**2 - 10*m - 6. Let w(z) = -3*z**3 + 967*z**2 + 13*z + 8. What is 4*q(j) + 3*w(j)?\nAnswer: 3*j**3 - 983*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 1428183?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o + 15 = -85. Sort -9, 0, -15, o in decreasing order.\nAnswer: 0, o, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/2106258 and -13\/12035760.\nAnswer: 84250320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26265 and 113730?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 46*h. Suppose 2*s = 4*c - 7 - 7, c - 8 = 2*s. Let l(n) = 0*n**2 + 11*n**2 - 5*n**c - 4*n**2. Calculate l(d(f)).\nAnswer: 4232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1441*x**2 - 23*x - 576896 with respect to x.\nAnswer: -2882*x - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3 - (-6)\/(3\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1972583 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19368371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 - 39000*p + 105905 with respect to p.\nAnswer: -4*p - 39000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37550549 a multiple of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 75, 3\/4, 3, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -48. Let h be (-4 - -11 - 3) + -30. Let z = h - p. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(9\/(-12)*2). Let x be (-3 + 1)*(-1)\/u. Let b be x\/((14\/32)\/7). Calculate the highest common factor of 64 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 3*v**2 + v**2 - 2*v**2 - 5*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**3\/3 - 12*j. Let t(h) = -10*h. What is t(a(o))?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 464766711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16442998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 57\/3798883?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.1 - 22.1. Suppose 6 = -2*z - 20. Let f = 8 + z. Which is the second biggest value? (a) 0.4 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 7*l + 3*b + 11, -3*l + 3*b + 15 = 0. Solve p + l*p = -4*i, 3*i + 5*p = -11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -17*f. Let h(l) be the first derivative of 2*l**3\/3 - 39*l - 30. Let o(a) be the first derivative of h(a). Determine p(o(t)).\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*r + 16 = 0, -3 = -i - 18*r + 17*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -351340000 to the nearest 1000000.\nAnswer: -351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 52*y**2 + 52*y + 117. Let v be q(32). Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.4 + 1.4. Let f = -8.2 - k. Let y = 2 + -2. What is the biggest value in y, f, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - ((-12)\/(-16))\/((-6)\/(-48)). Solve -2*a = -5*v + 3, -2*v + 5 + 1 = -l*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10500 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b, c - b - 1 = -0*c. Let n be -2*(c + (-3)\/(-6)). What is a in 6 - a - 2*a**2 + 10*a + n*a**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/64519 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133818?\nAnswer: 2, 3, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5863*i**2*v**3 + 3*i**2*v**2 + 5*i**2*v - 2*i*v**4 - 1011*i + 2 wrt v?\nAnswer: -35178*i**2 - 48*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*d, 2*a - 3*d - d - 24 = 0. Suppose 3*h = -2*h - 5, a*l + 5*h + 119 = 0. Let m = 62 + l. Solve m*n = -2 - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 5, 3, 0 in descending order.\nAnswer: 5, 3, 2, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, -9, 0 in decreasing order.\nAnswer: 4, 2, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, 108, 361, 736, 1227?\n\"Answer: -p**3 + 70*p**2 - 78*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**2 - 36220*m - 2158800 = 0?\nAnswer: -8995, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12 + 7 + 50?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4 + 0*f**2 - 7*f**3 - 3*f + 0*f**2. Let p(d) = -5 - d**3 + 10 - 4 - d. Calculate -4*p(w) + r(w).\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 70 = 41. Suppose -3*x - 621 + k = -2*f, 4*f - 2*x = 1012. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*y = 2*o + 25, -5*o - 20 = 4*y. Suppose -v + 2*i - 8 = o, -8*v - 5*i = -4*v - 20. Suppose -3*b - 6 + 3 = v. Is b bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*o - 30, 2*o + 18 = h - o. Solve 0 = -4*y + 4*b - 24, -2*b = -h - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 16) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 2*b + 7)*(15053*b**3 - 7484*b**3 - 7503*b**3 + 18) as l*b + g*b**2 + a*b**3 + p + d*b**4 and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10227 or -10230?\nAnswer: -10230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3 (c) -1\/3 (d) -5 (e) -0.117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*83.\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 3*j**4\/8 - j**3\/3 - j**2. Let h be i(-4). What is the remainder when (-5 - h) + 2\/(-2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202023 (base 4) to base 5.\nAnswer: 200113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 41, 86, 167, 296?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(0 + sqrt(272))*3)*-5*-1.\nAnswer: -360*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {e: 7, t: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5578828?\nAnswer: 2, 1394707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {x: 1, r: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:47 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 783256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 27 + 8 = -5*v + 5, -8*v - 64 = 0. Let z(d) = d**3 - 10*d + 3. Let o(r) = -2*r**3 + 19*r - 5. Let s(q) = -6*o(q) - 11*z(q). What is s(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3287\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (9 - (-6 + 22))) + 85 - (-61 - -47)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 653431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14 - (-660)\/(-210)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*v - 31*v + 24*v**2 + 67*v)*(v + 0*v + 0*v) to u*v + n*v**2 + p + t*v**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 66 = 4*p. Suppose 0 = -4*s + 2*c + p, -3*s - 5*c + c = 0. Let k be 0 - -4 - -7 - s. Solve -4*r + k - 23 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2150 is divided by 1075.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-16)\/(-360)*6)\/((-34)\/5)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:27 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ukucckkjcu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184808 and 28.\nAnswer: 1293656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 660107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/5 + 2606*l**3\/5 - 2240293*l**2\/5 + 124215660*l + 2384113500 = 0 for l.\nAnswer: -18, 774, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*f - 3*f. Let c(j) be the first derivative of f - 1\/11*j**2 + 1\/22*j**4 - 2\/55*j**5 + 2\/33*j**3 + 0*j. Solve c(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.029 + 2.729. Let q = 2.8 - f. Which is smaller: 0.15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*b + 453 = 0, -i - 173 = 2*b - 598. Calculate the remainder when 2\/7*(i + -6) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*t**3 - 18*t + 50*t - 15*t - 17*t.\nAnswer: -441*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2103896*a**6 - 33422*a**2 - 2*a + 18 wrt a.\nAnswer: -252467520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3*m + ((0*m + m + m)*(1 + 0 - 3) - 2 - m + 2)*(436 + 344 - 289) to r + b*m and give b.\nAnswer: -2452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*w, 0*l + 5*l + 2*w - 4 = 0. Calculate the highest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2007, -4005, -6003, -8001?\n\"Answer: -1998*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 e when three letters picked without replacement from wgenknwngwn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 5. Let p(r) = 11*r + 53. Let z be p(-5). Let u be i(z). Let f be (-1)\/u + 84\/90. Sort 1\/6, f, -2, -3.\nAnswer: -3, -2, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44320 (base 5) to base 7.\nAnswer: 11665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + 3*j**4 - 5*j**4)*(15293 - 9889 - 8802).\nAnswer: -3398*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - (-111)\/15. Let c = 0 + h. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*u**2 + 105*c*u*x - c*x**2 + 27*c + 853*u**2*x**2 + u*x**2 wrt u.\nAnswer: 4*c + 1706*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (2 + sqrt(432) - sqrt(432))) + 0)**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from {i: 1, g: 4, k: 1, b: 1, l: 2, t: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17488, -17503, -17528, -17563, -17608, -17663, -17728?\n\"Answer: -5*x**2 - 17483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 21616452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/211707?\nAnswer: 1\/211707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 57. Let m = c - 42. Suppose 2*q - 5*q = -21. Do m and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let b(z) = z. Let t(o) = 5*b(o) + 2*q(o). Let p(l) be the first derivative of -2*l**3\/3 - 7*l**2\/2 - l - 15. Calculate p(w) - 5*t(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837 take away -2936389.35971?\nAnswer: 2934552.35971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 12. Determine q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 18 + 3, -m - 4*q = 8. Suppose -255 = -m*h - h. Is (2 + -1)*h + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 7*h**3 + 6*h**3 - 20*h**3 + 14*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -15 + 40 + (-2 - 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -423702415*z**4 + 127925414*z**2 wrt z?\nAnswer: -10168857960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 49. Let r(d) = 13*d**2 + 287. Let x(q) = -35*n(q) - 6*r(q). Let v(i) = 2*i. What is x(v(z))?\nAnswer: -32*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 0*w + 0*w - 3*w - 3*w**2.\nAnswer: -15*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4862 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1649.9, 4\/249?\nAnswer: -1649.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 2*l. Let r(v) = 220*v**2 - 10*v + 2. Calculate 5*j(z) + r(z).\nAnswer: 230*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 80 = 5*y. Suppose 2*d = 3*z + y, -4*z = d + 5 + 7. Find the third derivative of 19*j - 23*j**d + 8*j**2 - 19*j + 9*j**2 wrt j.\nAnswer: -552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7006*o**4 + 342*o - 687*o + 9116 - 2062 + 345*o with respect to o.\nAnswer: -28024*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((170\/340)\/((-10)\/24))\/((-36)\/(-45)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -75. Solve -3*i - 2*z + 2 + 1 = 0, o*z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 963260785 to the nearest integer?\nAnswer: 31036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3302 + -3354. Put 5, 3, b, 8 in increasing order.\nAnswer: b, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5809 + 5827 = -2*j, 14*k = -4*j + 60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.883 and -720531.9.\nAnswer: -720539.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -4 + (-3 - 0). Let b = 10 + o. Solve b = -5*k - 5 - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1962054 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 26*c = -30*c, 14 = 2*d - 5*c. Let n = -33\/10 + 5\/2. What is the second smallest value in -3, n, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.26 + -48.171. Let s = -0.011 - u. Let g = s + 1.2. Round g to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244.407nm to millimeters.\nAnswer: 0.000244407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {d: 2, u: 3, v: 7, y: 3, e: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -0.3, -1 in decreasing order.\nAnswer: 5, 0, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -43*w + 1. Let d(x) = 42*x. Let z(m) = 2*b(m) + 3*d(m). Let u be z(2). Suppose -3*t - 232 + u = 0. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -16 (c) -95\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155268 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*g**2 + 388545*g - 45710.\nAnswer: -5*(g - 4571)*(17*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -940353.1 (c) 4 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72.7458 smaller than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -237\/13. Let r = -11\/104 - n. Which is the closest to 0? (a) 5 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6574155?\nAnswer: 3, 5, 7, 17, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -878.3, -4, -79, 0.5, -37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 - 383*u + 224. Give s(-43).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 4*h*y - 11*h + 1066*y wrt h.\nAnswer: -2*h + 4*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111120 (base 5) in base 12?\nAnswer: -231a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17528 - -17447.06. Round i to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 7 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1589526 and 378621.\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*h**3 + 0*h + 0*h.\nAnswer: 1069*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7128 - 501 = -3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 2*v - 1. Let z(g) = 7*g**2 + 17*g + 21. Let i(p) = -3*s(p) + z(p). Determine i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 6. Let n be j(0). Let m be n - (6\/2 - 2)\/(-1). Let x(k) = -k**2 + 8*k - 1. Calculate x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 30 = 14*x, 2*x - 3185 = 3*x - m - 3178 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/13))\/m)**(1\/44))**(-2\/17)\/((m\/(m\/(m\/(m*m\/(m**(-1\/3)\/m)*m*m*m)))*m*m**(-3\/10)*m)\/(m\/(m*m**(-3))*(m*m*m**(1\/6))\/m)) assuming m is positive.\nAnswer: m**(94814\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 155296200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*((sqrt(32) - sqrt(256)\/sqrt(8)) + -4))**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5367056, 5367076, 5367120, 5367200, 5367328, 5367516, 5367776?\n\"Answer: 2*a**3 + 6*a + 5367048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4156, -8297, -12440, -16585, -20732, -24881?\nAnswer: -29032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5183 - 5184. Which is smaller: o or -4\/79?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + 1053.01774.\nAnswer: 1052.21774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = 0. Let n be 2584\/880 - ((-891)\/121 - -7). Which is greater: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/13 - 108*u**3\/13 - 342*u**2\/13 - 8*u\/13 + 456\/13 = 0 for u.\nAnswer: -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6998755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 - 3691*o**3 - 145468*o.\nAnswer: 12*o**2 - 22146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(4212) - sqrt(4212)*2) + sqrt(13)*2*1 + (sqrt(26)\/(sqrt(6)\/sqrt(3)) - sqrt(13)))**2.\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187223\/97 - 1930. Is 1 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 6 - 22 = 3*y, -4*p = -y + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + m + 1. Let b(n) = 11*n**3 - 4*n**2 - 4*n. Calculate 4*a(q) + b(q).\nAnswer: -q**3 - 4*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -178. What is the highest common divisor of 114 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 2*f - 1. Let d be q(4). Let a = d - 35. Let r(b) = b**2 + 7*b - 9. Is r(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o - 2. Let m be p(3). Let d be ((-8)\/m - (8 + -5))*25. Solve -k = -6*k + d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132950 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1939, 1958, 1977, 1996, 2015, 2034?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(1\/10)*d)*d**4\/d)\/(d\/(d\/(d\/(d\/d**(-2\/5))*d)))**(-46)*((d\/(d*d**1*d)*d)\/d)**18*(d**0)**(-1\/6) assuming d is positive.\nAnswer: d**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 7. Let b(i) = -i - 7. Let l(y) = -7*b(y) - 6*s(y). Let x be l(2). Is 8 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - (43 - ((21 - 2) + -9))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15277300 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362817597 and 852?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) + 4 + 5)**2*4.\nAnswer: 288*sqrt(5) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 6*n + 1. Let m = 9 + -15. Let b be s(m). Let d = 24.7 - 25. Sort b, -1, d in increasing order.\nAnswer: -1, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247768 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: Let w = -607\/4 + 152. Let x be -2 - ((-23)\/(-21) + -3). Let z = -2.8 - 0.2. What is the biggest value in w, z, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*x**3 + 0*x - 4\/7*x**2 + 2\/7*x**4 + 0 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710.402 milliseconds in seconds?\nAnswer: 1.710402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:23 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -10*(-10)\/25. Put m, 2\/9, -1\/4 in ascending order.\nAnswer: -1\/4, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1550)\/(-93) + (20\/6 - 2). Suppose 0 = 2*b - 5*i + 16, -4*b - 4*i + 3*i + 12 = 0. What is the greatest common divisor of b and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 - 6 - (-1 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29615408 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4683902 rounded to four decimal places?\nAnswer: 0.4684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-8)\/(-3) - 0)*(-70)\/5*-3 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61325 - (4\/18 - (16 + (-2024)\/207)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(-2 + 2*w + 2) - 57*w**2 + 2*w - 5*w**2 - 12*w**2.\nAnswer: -76*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 + 8088 = 384*w + 88*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 15117231?\nAnswer: 15117212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 3*i**2 - 9*i + 2. Let o be s(-4). What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 + 50460*q**2 - 655352*q + 604896 = 0?\nAnswer: 1, 12, 12602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -938\/13. Let c be 15\/(-9) + (-2)\/(-3). Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4479 + -4434. Calculate the highest common divisor of q and 745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 75*g + 31 - 77*g + (5*g - 3*g + 2*g)*(0 + 1 + 0) as w + l*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 13. Let v be l(-2). What is the closest to -1\/6 in 0.2, 10\/19, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 - 648*o**2 - 68926*o - 2405160 = 0.\nAnswer: -131, -108, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 9*n - 3. What is the units digit of q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157*o - 161*o - 36 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 686*k**5\/5 + 561*k**2\/2 - 2*k + 653. What is the second derivative of t(j) wrt j?\nAnswer: 8232*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8198 + -8199. Sort 1, 22, u, -4 in decreasing order.\nAnswer: 22, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 43*b = 5*o - 7, 5*b - 4*o - 6 = 0. Suppose -v - v + 6 = 0. Let c(x) = x**3 - 4*x**2 + 5*x - 4. Let a be c(v). Solve b*m - m = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103 + 81 + 48*v + 3*v**2 + 104 - v**2.\nAnswer: 2*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-3) - (-42)\/(-105) - (-1 - 22\/55)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-6))\/(9\/(-81)). Let m be ((-13)\/39)\/((-1)\/j). Let q = 29 + m. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j + 0)*(-3*j**3 + 3*j**3 - 2*j**3) + 3*j**4 + 2*j**4 - 6*j**4 + (-5*j + 5*j + j)*(-j**3 - 2*j**3 + j**3).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 812*c + 25970.\nAnswer: 2*(c + 35)*(c + 371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-6)*(-48)\/(-240) + -1 + 1\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -58. Let m(i) = -117778*i**2 + i - 1. Let g be m(j). What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)*-3 - -3. Let q be -3 - (-6 - t) - -4. Let w(k) = -k**3 + 8*k**2 - 6*k - 5. Let n be w(q). Is 2 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 2, h: 4, n: 3, r: 2}. What is prob of picking 1 h and 1 b?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = -3*v, -3*u + 8*u = -2*v + 25. Suppose g - 5*g + 18 = -2*s, -5*s = -u*g + 20. Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t - 5 = -4*n, 10 = -5*t + 5*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnii when four letters picked without replacement from {n: 2, o: 1, f: 6, i: 7, p: 4}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/8)\/((-1)\/2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/7, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -6, -0.1, -3, 6\/11, -1\/4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z - 185. Let y = 24661\/8 - 3071. Find the common denominator of z and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.79, -2, 15?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 15 + 0 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1599 + 3725. List the prime factors of y.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 20846968992*o**3 + 6 - 8 - 20846968996*o**3.\nAnswer: -4*o**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 191, 422, 743, 1154, 1655?\n\"Answer: 45*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-814096)\/(-748))\/(-73) + 24\/(-22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6883 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ntnnz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 - (5 + -3)). Let n be (-2)\/(-14) - m\/(-21). Suppose 2*i + 4 - 12 = n, -32 = -x - 3*i. Is x 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 {a: 6, q: 6}. Give prob of sequence aaq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 133.9. Let b = q - -26. What is the third biggest value in -1, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3952 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*2*3)\/((sqrt(24)\/sqrt(2) + sqrt(12))*5 + 4*sqrt(108)) + 1)**2.\nAnswer: 12*sqrt(5)\/11 + 301\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 6}. What is prob of picking 1 o and 1 y?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21918 = -131*t + 6304809. List the prime factors of t.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/35 + 422548160\/140. What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-17)\/51)\/(2\/(-66))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -1, -25, 1, 24 in descending order.\nAnswer: 24, 12, 1, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 3*x, -5*j + 18 = x. Let m be ((-3)\/(-2) - 0)*2. Find b, given that b**j - b**2 + m*b**2 + b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 69 = 5*f + 4*s, 66 = -3*f + 3*s. Let p = f + 43. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11139858239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 - 6*n - 4. Let z be u(-4). Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-32))\/(-11)*(-8)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 172*b + 149. Give z(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*h**4*s + 5*h**4 - 2*h**3*s + 2*h**2*s + 45*h**2 - 53*h*s + h wrt h?\nAnswer: -6528*h*s + 120*h - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2465, -2462, -2441, -2390, -2297, -2150, -1937?\n\"Answer: 2*v**3 - 3*v**2 - 2*v - 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*r - 44, 5*q + 517*r - 510*r + 118 = 0. Factor -26\/7*x**2 + 24\/7*x - 8\/7 + 12\/7*x**q - 2\/7*x**4.\nAnswer: -2*(x - 2)**2*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)\/f)**(-44)*f\/(f**9*f)*f**(-1\/11) assuming f is positive.\nAnswer: f**(263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -937 + 952. Sort 33, 0.5, u, -2 in decreasing order.\nAnswer: 33, u, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 10*p - 3. Let q(u) = -9*u - 3. Let y(t) = -3*t - 5. Let r be y(-3). Let d(w) = r*q(w) - 3*z(w). Factor d(o).\nAnswer: -3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43069, -43066, -43061, -43054, -43045?\n\"Answer: h**2 - 43070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 243\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-40)*2*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9628, 38479, 86534, 153769, 240160, 345683, 470314, 614029?\nAnswer: 776804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -3 + (3 - 3) - -10 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341215, 682428, 1023627, 1364806, 1705959, 2047080, 2388163?\nAnswer: 2729202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {i: 2, s: 5, e: 1, n: 1, y: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 58225.\nAnswer: -4658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 21*g + 28. Suppose 2*i - 4668 = -i + 3*o, 2*i - 3094 = -g*o. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:13 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (933\/(-9))\/(6\/18 - 0). Let k = 988 + y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 3. Let h be p(-15). Let u = h - 10. Let l be -2*4\/(-8)*u. Solve 0 = -3*a - 4*n + 3, -a - l*a - 5*n = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:57 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25141, -25144, -25151, -25162, -25177?\nAnswer: -25196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-46))**(-9\/8)*(o*o**1)**(3\/14)\/((o\/o**1)\/o)**(2\/15) assuming o is positive.\nAnswer: o**(-4229\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 + 34*i**2 + 8*i + 12. Calculate the remainder when k(-8) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -5 + (198 - 217)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {w: 3, i: 4, o: 1, t: 6, z: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 245.1 (c) -10.27 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38653198\/6783 + 96695\/17. Let d = y + -9\/133. Which is greater: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-522)\/(-7830))\/((-1)\/(-25))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 4, 27, 72, 145, 252?\n\"Answer: g**3 + 2*g**2 - 6*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/2*(-4)\/(-10). Let g = j + -1. Factor -g*d**4 + 8*d + 32*d**2 + 9*d**3 + d**3 - 45*d**4.\nAnswer: -2*d*(d - 1)*(5*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11209566, 22419126, 33628686, 44838246, 56047806, 67257366?\nAnswer: 78466926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1852, 1\/6, 13, 145, 5 in descending order.\nAnswer: 1852, 145, 13, 5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 3*w - 2. Suppose 3*u + 4*l - 38 = u, -2*u + 4*l - 2 = 0. Let o(m) = 17*m**2 - 13*m + 8. Give u*h(z) + 2*o(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 605*u + 6. Let n(k) = 585*k + 5. Calculate 2*g(t) - 3*n(t).\nAnswer: -545*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 29, -3, 902\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15806004*17.\nAnswer: -268702068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((0 - (-7 - 3)) + -3)) + -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*b**2 - 1206*b**2 + 1092 - 1092.\nAnswer: -1296*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 859 - (6\/24)\/((-1)\/4). Suppose -78*w + 98*w = p. Calculate the remainder when 299 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-30) + (-322)\/(-10). Let o = c - 6. Suppose -4*j = -2*m - o, j - 5*m + 4*m = 9. Solve -j = -2*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 18*j**2 + 20*j**2 - 37*j**2 + 3)*(783*j - 28*j + 172*j + 83*j).\nAnswer: 1010*j**3 - 1010*j**2 + 3030*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 4*c - 34. Does 14 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/20 - -823\/60. What is the common denominator of v and 73\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132161 + -33580480?\nAnswer: -33712641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 21*f = -24 + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99, -101, -99, -93, -83, -69, -51?\n\"Answer: 2*b**2 - 8*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let j be b(-3). Let n be -4*1*4*j\/8. Let g be 153\/12 - n\/(-32). Solve -4*w - i + 0 - 1 = 0, w - 4*i = -g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/13)*s)\/((s*s**(-4)*s)\/s))**43)**(-13) assuming s is positive.\nAnswer: s**(-2150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {r: 2, l: 1, k: 1, x: 1, y: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*-5 + 364\/294)*(-7)\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -3. Calculate the remainder when 47 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (135\/15)\/((-45)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74736.639 to the nearest 1000.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most -104218097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 3*r = -27*a - 27, 839*a + 150*a - 3*r + 0*r = 5943 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnnp when four letters picked without replacement from npppjnppppnp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 + 11 = 0, -4*v - 27 = -5*x. Let s be (-1)\/x*(-7 + 1). Let t(w) = -w**2 + s - 2. Let p(m) = 3*m. What is t(p(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 94, -1, -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 17. Let f be x(7). Let a be (-2)\/(-9) + (-68)\/(-18). Suppose 2*d + 138 = -a*k, -f*k - 206 = 4*d + 80. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 138. Suppose -q = -u*q + 1092. What is the remainder when q is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 k when three letters picked without replacement from jknvuvk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 + 10. Let a(m) = -m**2 + 2. Calculate 4*a(g) + t(g).\nAnswer: g**3 - g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36.6? (a) -222 (b) 0.3 (c) -5 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 + 3\/5*t**5 - 3 + 2\/3*t**3. Find the third derivative of s(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-819))\/(390\/169).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - -180. Let f = 221 - y. Solve 3*u = -0 + f, u = -h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1451 + 2672?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d - 3*d)*(-2960 - 97 + 74*d + d - 63*d).\nAnswer: -24*d**2 + 6114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-2 - 2) + -50. Let o = -135 - p. Let b = 139 + o. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-62)\/(-93))\/(5\/15). Factor 1\/2*f + 1\/4*f**t + 1\/4.\nAnswer: (f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114960 by -1916.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 418*r\/5 + 43681\/5.\nAnswer: (r - 209)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122839*j**2*q**2 + 12*j*q**2 - 2*j*q - 39921490*q**2 with respect to j.\nAnswer: 245678*j*q**2 + 12*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 2, -41, -126, -265, -470?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 11*t - 28 = 0 for t.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4285*x**3 + 271*x**2 + 54*x + 1. Let d(h) = -8568*h**3 - 543*h**2 - 117*h - 1. Let v(j) = -6*d(j) - 13*k(j). Find the third derivative of v(c) wrt c.\nAnswer: -25782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 27 = -12*b - 32 + 19, -b - 2*c - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11184*s**4 + 3452 wrt s.\nAnswer: -44736*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.99 + -0.116\nAnswer: 0.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018434 + 4204.\nAnswer: 4203.981566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {w: 7, x: 6, i: 2}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 - -319. Let h = i + -111. What is the greatest common factor of h and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2905)\/308 + 10 + 4\/22. Let q = 0.342 - 3.282. Let n = q - 0.06. Which is the nearest to -2\/5? (a) n (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/78 and 1 + (61\/(-5))\/(4\/(-10))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 22 - 4. Let t be (-3)\/(-4) + m\/(-8). Let g(n) = t*n + 2 + 2*n + n - n**2. What is g(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(((-18)\/4)\/(-3)). Suppose z*u = -0 + 4. Let t(g) = g**3 + 36*g**2 - 31*g + 220. Let q be t(-37). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = 12*u - 45 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -0.1?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**3 + 13*h + 15*h + 2*h**2 + 7*h**3 - 30*h to the form l*h + k*h**3 + w*h**2 + p and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4839344 - -2806329. Let p be 208035*29 - (-1 + 1). Let j = p + b. Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325028 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16090 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:30 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 55*i**2 + 2*i - 50*i**2 + 2*i to d*i + f + a*i**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 550658 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61314, 61319, 61326, 61335, 61346, 61359?\n\"Answer: l**2 + 2*l + 61311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 282 = 3*r, -257*r = -262*r - 3*z + 486. Solve -2*y + r = -18*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -33, -71, -123?\n\"Answer: -7*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 7) + 19\/7)\/((-936)\/1638).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2724.49 + 28851.029\nAnswer: 26126.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -22890, 40 in decreasing order.\nAnswer: 40, 1\/5, -22890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 251057 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195997480?\nAnswer: 2, 5, 7, 449, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195 in -8, -1\/6, 1, 0.02, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-8) + 5)*-2. Suppose -49*n = -240 - x. Solve -b = v - 1, -n*b - v = 2 + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2*i - 23248 = 38432. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 10 - 17 = 0. Suppose -5*j - 4*y + 26 + 142 = 0, w*j + 2*y - 100 = 0. Let f = 150 + -23. What is the remainder when f is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 - 20 = 55. Solve -5*g + 20 = 5*r, 5*g = 4*r - 7 - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1430 divide 10666370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 47. Let r = 39321 - 38919. Calculate the remainder when r is divided by c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {d: 4, k: 7, z: 3, e: 2, n: 1}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115375 + 3?\nAnswer: -115372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 652 = 3*s, -4*s + 884 = -9*v + 6*v. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**5\/20 + w**4\/4 - w**3\/6 + 2*w. Let z be s(-3). What is the derivative of 2 + 2*t**z - 2 + 2 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. What is the nearest to 4 in a, 0.5, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/3 - 56*x**4 - 4580*x**3\/3 - 13000*x**2 + 43750*x\/3 = 0.\nAnswer: -35, -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(108)\/sqrt(3))\/sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -21*a - 370. Let t be h(-18). Let x(r) be the second derivative of 4\/3*r**3 + 7\/12*r**4 - t*r + 0 + 0*r**2. Find the second derivative of x(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4, -25 = k + j - 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 2. Let a be l(5). Let n = -5 + a. What is the units digit of 1\/n*3*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 + 3*i - 2. Let k(u) = -17*u**2 + 5*u - 4. Give 5*f(b) - 3*k(b).\nAnswer: 11*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-336)\/9)*-1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*j**2 + 47*j**2 - 44*j**2 + (-2*j + 2*j - 2*j)*(4*j + j - 3*j) in the form z*j**2 + x*j + b and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12074821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**2 + 0*u - 56*u**5 - 3*u + 679 + 44*u**5 + 8*u**3 - 184 - 79*u**5 wrt u?\nAnswer: -5460*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -41339 + w + 41339. Let o(z) = -1. Calculate -2*m(j) + o(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 + -0.3. Let r = 53 - 53.42. Let m = z - r. What is m rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68590 + -734\nAnswer: -69324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 38*p - 54. Let s be v(17). Suppose 9*g - s*g = -75. Solve -10*x = -g*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/46885?\nAnswer: 12\/46885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + d)*(1 + 1 - 1)*(2*d**2 + 2*d - 2*d + (-4*d**2 + 3*d**2 - 4*d**2)*(3 - 1 - 3)).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z - 9. Let t(x) = 2*x**2 - 16*x + 18. Let c(a) = -5*g(a) - 2*t(a). Is 11 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -771383?\nAnswer: -7\/771383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/2 + 1429106*k + 2858210 = 0. What is k?\nAnswer: -2858210, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77a (base 14) in base 16?\nAnswer: 5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*z - 20311 = -20340, -1 + 9 = -2*b - z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 4*a**3 - 5*a**2.\nAnswer: a**2*(a - 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzfjzzzzzjzzzzjfz. What is prob of sequence jjz?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 67?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*2 + (3*sqrt(64) + sqrt(4) - sqrt(4)))\/(sqrt(6)\/(sqrt(147)*1))*-3)**2 + -1 + -4.\nAnswer: 691483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**31*m**0\/(m*m**(-4)\/m) assuming m is positive.\nAnswer: m**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 21464*f + 666389. What is o(31)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - 4. Let z(u) = 5*u + 1. Let d be z(4). Solve v = 7*c - 2*c - d, p*c - v - 13 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.7 + -17.4. Which is the nearest to 2? (a) -2 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 7. Let k = 1.53 + -159.53. Let g = 159.3 + k. Which is the smallest value? (a) 1\/5 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3402 divide 101608688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 + 23*g + 15. Let d(l) = 20*l**2 + 97*l + 52. Let s(n) = -4*d(n) + 15*r(n). Give s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 20*t**2 + 2086*t + 705. Calculate l(-104).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, -20, 77 in increasing order.\nAnswer: -20, 77, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 3*b + 3. Let j be y(0). Suppose 4*m + j*m - 413 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t. Let k(g) = -36*g + 94*g - 137 - 30*g - 27*g. Determine k(p(v)).\nAnswer: 4*v - 137","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24984 and 430860?\nAnswer: 897050520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 - 127. Let v = -71 + s. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36499 (base 14) to base 3.\nAnswer: -20201221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Let c(r) = 0*r + 5 + r - 2*r + r**2 + r**3. Let m be c(s). Solve m*b = -5*l - 20, 12 = -4*l - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:42 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 46 - ((-2 - 5) + -15)) + 0 + 57?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 8, m: 5}. Give prob of sequence mmmm.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8327?\nAnswer: 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 0. Let i(m) = 3*m**3 + 16*m**2 - 14*m - 6. Let d be i(-6). Solve -13*p = -d*p - f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.016 - 0.016. Let z = 1\/11 - 15\/44. Let s = 0.3 - 0.2. Which is the nearest to z? (a) 1 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*(sqrt(425)*2 - sqrt(425)) + -5)*-1 - (2 + sqrt(425)*-2 + sqrt(425)*1*-5)))**2.\nAnswer: 480*sqrt(17) + 27236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*u*z**3 - 6*i**2*u*z**2 - i*u*z**2 + 322*u*z**3 + 18*u*z**2 - 2*u wrt z?\nAnswer: 12*i**2*u + 1932*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 576 + -526. Calculate the remainder when 87 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + a - 7 = 0, -a + 13 = 16*z - 12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -47.81. Let w = -10.19 + m. Let g = 10.0000007 + w. What is g rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*c = 2, -3*o - 2*c + 46 = -7*c + 40 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 2*z - 2*z + (z - 2*z + 3*z)*(-3 + 4 - 2) - 6*z - 65 + 65 - z - 2 + 2 + (z - z + z)*(1 + 0 - 3) to the form p + k*z and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -0.2 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 + 10*d**2 + 894*d - 2668. What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/5)\/(s\/s**(-3\/5)))\/(s**(3\/2)*s*s*(s*s\/(((s\/(s\/s**(-2)))\/s)\/s))\/s))\/((s\/s**(-4))\/s**7)**(1\/15) assuming s is positive.\nAnswer: s**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from xtxuuxxutxxx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4814 and 6806?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 13*i + 43. Suppose 72 = 10*b - 18*b. Let z be n(b). Solve 0 = 3*c + 4*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:46 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**3 - 15*b**2 + 310*b - 120.\nAnswer: -5*(b - 3)*(b + 4)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let j(d) = -4909*d - 2. What is i(j(k))?\nAnswer: -48196562*k**2 - 39272*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -655ef6 (base 16) to base 15\nAnswer: -8b3666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5524460*l**2*s**3 - l*s**3 + l*s + 14*s**3 + 68*s + 3 wrt l.\nAnswer: -11048920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -33*y**3 - 9*y**2 + 21*y - 6. Let j(u) = -66*u**3 - 17*u**2 + 35*u - 11. What is -3*j(q) + 5*v(q)?\nAnswer: 33*q**3 + 6*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14681 - -14773. What is the highest common factor of t and 13662?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 125967582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000800378476 rounded to 7 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (888*a - 753*a + 682*a)*(3 - 1 + 0)*(a**4 + 0*a**4 - 2*a**4).\nAnswer: -1634*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203174 divided by -126?\nAnswer: 9549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58285, -58306, -58327, -58348, -58369, -58390?\n\"Answer: -21*d - 58264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43862762 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: Collect the terms in 102*c**2 - 30*c**2 + 124*c**2 + 19*c**2.\nAnswer: 215*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11785*c**3*j**2 - 2*c**3*j - 247235*c**3 - 88*c*j**2 wrt j.\nAnswer: 23570*c**3 - 176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 12494145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -45*o**3. Let h(d) = -1666*d**3. Calculate -3*h(l) + 112*m(l).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -792 + 818. Suppose -31*q + u*q + 330 = 0. Calculate the remainder when q is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.0878 less than -89?\nAnswer: -249.0878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30.314 or 9\/172?\nAnswer: 9\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1368 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -346, -725, -1256, -1939, -2774, -3761?\n\"Answer: -76*x**2 + x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 - 2356*l**4 - 4444*l**3 + 148436*l**2 + 300800*l + 150272 = 0. Calculate l.\nAnswer: -587, -8, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181628 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 r, and 1 z when four letters picked without replacement from {h: 6, r: 3, z: 3, i: 1}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (758 + 21*t - 758 + (4 - 4 + 3*t)*(0 - 5 + 4) + (1 - 5 + 2)*(-2*t + t + 2*t) + 3 - t - 3)*(-12 - 11*t + 12).\nAnswer: -165*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1172904*w**4 - 1194069 wrt w?\nAnswer: -4691616*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3960 + -15744708\nAnswer: -15740748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5065.973 + -5058.9730096. Let c = -7 + s. What is c rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5518807 divided by -2\nAnswer: -5518807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16973338 is divided by 2828889.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -18 + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11165*z + 11298*z - 2660 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -56. Calculate the smallest common multiple of z and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 13) to base 16\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -5*t + 2*r - 9, 3*t - 2*r = -1. Which is the nearest to t? (a) -3\/2 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -192? (a) 0.1 (b) 5 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 91.79583 micrometers?\nAnswer: 0.09179583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/1047 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*y - 28 - 19 = 0, 5*y = -2*l - 23. Is l not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 11*b**2 + 13*b + 6. Calculate c(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m - 3*m)*(2 - 1 + 1)*(3 - 2 - 3) + 5*m + 3*m - 6*m + (-m + m + m)*(1 + 2 - 1) + 2*m + 3*m - 3*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -2 + -7 + 3 + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 334 + 4*h + 2*h**4 - 334 + (1 + 2*h - 1)*(2*h**3 - h**3 + 3*h**3) in the form d*h + p*h**4 + f + g*h**3 + j*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (-11 + 11)) + 131 + -143?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n = 7535 - 2447. Suppose 56 = h + 4*y, -4*h - 14*y + n = -11*y. Calculate the remainder when 136 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/140349 and -76\/9.\nAnswer: 421047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 602*s**3 + 2*s + 151*s**2 - 80*s**2 - 73*s**2 to the form h*s + q*s**2 + u*s**3 + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 659797 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 70 = -10*z + 4*n - 20, -4*n + 6 - 1 = -z - 9 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 767 + -421. Let i = r + -359.9. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -644 bigger than -551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2926 is divided by 326?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/42 - 5*v**6\/6 - 143*v**5\/20 - 119*v**4\/12 + 2080*v. Factor t(i).\nAnswer: -i**2*(i + 1)*(i + 7)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, -8.\nAnswer: -8, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*s - 36, -4*s = f + f - 4. Let n = 13 + f. Let j be (6 - 0) + (-10)\/n. Solve -j*i = 15 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 119\/2*f**2 + 36 + 0*f. Let v(a) = a**2. Determine v(g(u)).\nAnswer: 14161*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.74 - -0.84. Let b = -6 - o. Is -0.1 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 110*c**2 - 20*c + 465. Give o(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/((a*a*a*a\/a**(-1\/3))\/a)))*a)**(-1\/46)*(((a**(-4)\/a)\/a)\/a)\/(a**(-4)\/a) assuming a is positive.\nAnswer: a**(-136\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -29, 27, -2\/7, 34, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*(g\/(g*g**(-29)*g*g))\/g)\/g)\/(g\/(g\/(g*g\/g**(-5\/3)))) assuming g is positive.\nAnswer: g**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 + -288. What is the greatest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*b + 225, 5*b + 167 = 2*z + 20. What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -1.8, 6\/5, -2, -0.2, 1\/3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5220 divided by 1305\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.2, 113, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51e99 + -2?\nAnswer: -51e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/890)\/(12\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 61\/146.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.07, 1.02, -3, 0.3, 4\/3 in decreasing order.\nAnswer: 7, 4\/3, 1.02, 0.3, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17656.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680221377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 16. What is the first derivative of 9 + 44*i**3 - t - 56*i**3 wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**2 - 178 + 178 + 5*q**2 as s*q + w + k*q**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 3 + 3 + 16*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 + -408 - (-13 - 2) - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 12*q + 24. Let m be n(10). Suppose -4*d - 20 = -6*d. Let o(a) = 2*a + 5*a**2 - d*a**2 + 2 + 4*a**2. Determine o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-2)\/(-1)) - -9. Suppose -13 = -2*x + v. Suppose -3*d = -476 + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b**(6\/13)*b*b**(2\/9)*b**(-4)*b*(b*b**(-16))\/b assuming b is positive.\nAnswer: b**(-1675\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3016, 1, -4, 31 in decreasing order.\nAnswer: 3016, 31, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 = 6*y. Let p be (y\/4 - -1)*-4. Solve -3*v - 2 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*h + 17, 5*h = -4*n - 16 - 17. Let f(z) = z**2 + 6*z + 9. Calculate f(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d5d5 + 3?\nAnswer: 1d5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 919\/7 - 1817\/14. Sort 0.1, -1, -4, d, -2\/3451.\nAnswer: -4, -1, -2\/3451, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -45. Suppose -23*k - 6 = -25*k. Which is the closest to -3\/4? (a) w (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r. Let t(s) be the third derivative of s**8\/10080 + s**5\/20 + s**2. Let j(p) be the third derivative of t(p). Give q(j(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 743414301*n**3 - 2*n**2 + n - 213860230?\nAnswer: 4460485806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*u - 4*u - 1, -5*u + 5 = -4*t. Let x be t - ((-40)\/12 + 4). Which is the closest to -1? (a) x (b) -0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let q be y(1). Suppose q = -154*n + 155*n - 11. Solve s = i + i - 12, -3*s + i - n = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (25164\/(-96))\/((-6)\/(-8)). Let i = 350 - x. Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5365?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 23*s - 22. Let t(f) = -f + 28. Let g(o) = o**2 - 5*o + 12. Let k be g(5). Let r be t(k). Is i(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p + 8. Let t be g(6). Let y be t\/(-126) - 10\/45. Which is the third smallest value? (a) 0.4 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.3 - 7. Let h(s) = 11*s + 4. Let l be h(0). Suppose 2*q + 2*v + 2 = -2*q, -3*q + l = -4*v. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4002 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1014761 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16676 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38753 is divided by 1053?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-276)\/(-230))\/(2 + (-13)\/55). Is 2 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 136. Suppose -3*l - r + 10 = -6*r, p = 5*l + 4*r - 29. Suppose g - l*o = 10, -g - 3*o = g - 20. Calculate the greatest common factor of g and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*y + 117*y + 36 = -111*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*b**3 + 0 - 4*b**3 - 7 + 7 - b**3 - b**3 + b**3 + (1 + 2 - 4)*(-3*b + 3*b + 2*b**3) - b**3 + b - b - 3*b**3 - b**3 - 2*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100204233 (base 5) in base 15?\nAnswer: -3166e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1305*n + 663*n + 658*n - 25*n**2 in the form m*n**2 + h*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(1\/(-2)). Let a = 2 + y. Let n = 5 + -9. Put n, a, -2 in decreasing order.\nAnswer: a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 734168.3 millimeters?\nAnswer: 0.7341683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/3 + 10*g**2\/3 - 2*g - 6 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130.35841 - 130.44. Let t = -557.81841 + c. Let f = 500 + t. What is f rounded to 0 decimal places?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 2524. What is the thousands digit of p(90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**2 + 5\/42*v**7 + 0 - 5*v + 0*v**3 + 0*v**5 - 1\/6*v**4 + 0*v**6. Find the third derivative of t(c) wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b4507 (base 12) to base 15\nAnswer: -49caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*u = 263*u + 57. Solve 5*p = 5*i, 0 = -5*p + u*i - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/91221872 and -107\/740.\nAnswer: 456109360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 785*m - 143647. Give v(183).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -123. Suppose 4*f = -f + i. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, s: 6, v: 3}. Give prob of sequence ss.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33424314 (base 7) to base 9.\nAnswer: 5405110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184107547465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 6.9782517.\nAnswer: 34.8912585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10.8, -10, -6.3 in descending order.\nAnswer: 10.8, 5, -6.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374744 and 176251?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -188252*z + 17883943. Calculate d(95).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 290. Let g = q + -33. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let g be (-3 - 6\/(-10))*(-30)\/12. Let h(s) = -16*s. What is g*h(i) - 17*c(i)?\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12332330221 (base 4) in base 10?\nAnswer: -1830697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79128 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: Suppose -1000*d**2\/3 - 341300*d - 174728535\/2 = 0. Calculate d.\nAnswer: -10239\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/(-26))\/(6\/(-16)). Solve n + 24 = -2*l + 6*l, -20 = -x*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x - 6*x. Suppose -3*a + 4*o = 9544, x*a = -2*a + 3*o - 15903. Let l = 2080 + a. What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30614817.\nAnswer: 3, 23, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 22907886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/31204583 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 11 = 4. Suppose t*p - y - 1 = 0, 2*p - 1 - 1 = 2*y. Let x be (10\/(-4))\/5*p. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/4)\/m)**30)**(3\/7))**(-21) assuming m is positive.\nAnswer: m**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*t = 45202 - 14470 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5702 * -451\nAnswer: -2571602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -70*j**3 - 7*j**2 + j + 9. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 + 3*f + 11. Let i be w(4). Suppose 71 = -4*h + 3. Let x = h - i. Solve -20 = -3*c + x*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -328*d*l**3 + 4*d + 5*l**3 + 2*l**2 - 537 wrt d?\nAnswer: -328*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3*t + 0*t - 5*t)*(-2*t**2 - 20*t**2 - 42*t**2) + (-4*t + t + t)*(t**2 - 3*t**2 + 0*t**2).\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -449 + 915\/2. Let x = -8 + l. Which is the nearest to x? (a) 1\/5 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 + 292 + 0 + 0 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.108442 + -0.07.\nAnswer: 0.038442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 10 + 14)*(180*i + 163 - 181*i - 7*i**2 + 5*i**2).\nAnswer: -72*i**2 - 36*i + 5868","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 2. Let g = z + -14. Is (3\/g)\/(-1)*-645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200048 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 2*z - 1. Let n(h) = h - 1. Let f be n(-1). Let x be j(f). Suppose x*k - 55 = 20. Solve k = 2*y + 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8287.\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12*y*y**(-11))**(4\/9)*(y*y**(2\/11))\/y**(-1\/2)*(y*y**1)\/(y*y*y**9*y) assuming y is positive.\nAnswer: y**(-1471\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 98*f - 2820 = 0. Let m = -228 + f. Is 6 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w. Let q(u) = -4 + 0*u + 0 - 178 - 40 - u. Calculate t(q(d)).\nAnswer: 4*d + 888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6147 - -0.1833?\nAnswer: -6146.8167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a. Let z(d) = 59*d + 1. Determine z(s(l)).\nAnswer: 354*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + q - 1, -3*g + 5*q - 35 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707268 divided by -17.\nAnswer: 41604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7378931nm?\nAnswer: 0.0000000007378931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3972 is divided by 153.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 43, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7323585 + -199?\nAnswer: 7323386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4216 and 77\/51.\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 2*b**2 - 6*b**2)*(4*b - 2*b - 4*b)*(-8 + 32 + 192).\nAnswer: 4320*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 + 2*g**2 - 3*g. Let d(h) be the third derivative of -h**6\/20 + h**5\/15 - 7*h**4\/24 + 3*h**2 + 44*h - 4. Give -3*d(q) + 7*v(q).\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - -3 - (30 + -31))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/170*(-50)\/380)\/(2*-1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(19\/((-4617)\/18))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 646007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8789.91l?\nAnswer: 8789910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, i: 1, j: 2}. What is prob of sequence ibjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -34.7. Suppose 55 + 180 = 5*n. Let j = n - 45. Which is the nearest to j? (a) -2\/9 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 401, 395, 387, 377?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtttw. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 - -1?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22332587*l + 1606254 wrt l?\nAnswer: -22332587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*z - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 - 5*t**3\/3 - 3*t**2\/2 + 6*t - 1. Let g be v(-4). Find i, given that -2\/11*i**3 + 0*i**g + 6\/11*i + 4\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 269524, 539046, 808568, 1078090?\n\"Answer: 269522*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*p + 323*p - 156*p as x + h*p and give h.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 - -423 - (-23 + 101)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 4. Let b be 40\/15 + (-6)\/q. Let p(u) = -u + 5. Let f be p(4). Is b less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwdwdmvlwdlwdwdcwvw. Give prob of picking 1 m, 1 w, and 2 l.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 681\/908 - 13\/28\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -174, -261, -348, -435, -522?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1064, -4243, -9532, -16925, -26416, -37999, -51668, -67417?\n\"Answer: f**3 - 1061*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 54*s**2 + 207*s + 1855. Calculate v(49).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 3*g + 22. Suppose h = -3, 3*t + h - 56 = -80. Calculate q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1316, -2931, -4540, -6143, -7740, -9331, -10916?\nAnswer: -12495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s**3 - 2*s**2 - 2*s. Let m(d) = d - 5. Let w be m(8). Let h be p(w). What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98869\/38 + -2602. Suppose -5*j - 9 - 11 = 0, -j = -3*v + 1. Is v at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -937 >= -923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1095 and 1393380.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -2 + -3.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1834 and 1089265.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v - 26*v - 17*v + 50*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(960) - sqrt(960)) + sqrt(90)\/sqrt(54))\/((sqrt(2205) - (sqrt(2205)*2 + sqrt(2205)) - sqrt(2205))\/(sqrt(324)*-2)).\nAnswer: 28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 137127.3138 to the nearest 100.\nAnswer: 137100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -16*u + 48*u. Let s(a) be the third derivative of -u*a**2 - 1\/12*a**4 + 0*a**3 + 0 + 0*a. Let f(j) = -4*j. Give f(s(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(8*2\/12). Put l, 3, 0, -6 in descending order.\nAnswer: 3, 0, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**6 + 46*h**4 - 8*h**3 + 22258*h**2?\nAnswer: -720*h**3 + 1104*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-4)*436\/(-1090)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c + c**3 + (-2*c**2 + c**2 + 0*c**2)*(-16*c - 54 + 54).\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2227825*r**3 - 109*r**2 - 642124560.\nAnswer: -6683475*r**2 - 218*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089143*8.91.\nAnswer: 0.79426413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 3. Let s(a) = -3*a**3 - 1 - 2*a**3 + a**3 + 3*a**3. What is -6*s(k) - 2*v(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/35*(5 + 0\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6 - 21. Solve -m*p - 5 = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + 429\/7. Suppose 5*f = 4*i - 53 + 16, -4*i - 3*f = -s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 49 = -25 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -9276 and -9276 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 4. Let d = -5 + 9. Let k = -4.4 + d. Which is the third smallest value? (a) -1\/3 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7) - (12 - (-2120)\/(-175)))\/((-8)\/(-760)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -187, -224, -297, -418, -599?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 112*v**2 - 3*v. Let h be b(-1). Suppose 0 = 2*t - 3*l + 30 - 125, -3*l = 3*t - 135. Calculate the highest common divisor of t and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -3, 6, 4, -6, -30 in ascending order.\nAnswer: -30, -7, -6, -3, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8967 < 14803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 130 = -15*f - 17*f. Solve 154 = -4*x + f*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 496*l + 1. Let x(u) = 6*u**2. What is b(x(w))?\nAnswer: 2976*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 1.6. Which is the third biggest value? (a) s (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - n**2 + 144*n + 3*n**2 - 111.\nAnswer: 2*n**2 + 144*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -24 - (-4 + (0 - -13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 16. Let a be -3*(n\/3 - -1). Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4773420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*y + 12 = 42, 0 = -4*b + 2*y + 2. Differentiate 9 - h - 6 + b - 2 with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 1 - 1)*(234 - 168 - 148)*(-1 + 3 + 8) to v + x*a and give x.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/28558320 and 141\/2030.\nAnswer: 828191280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26. Suppose -5*k = -4*f + 37, 0 = -3*f - 3*k - 10 + 58. What is the remainder when -4 + w + 1 + 28 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 9*g**3 - 2*g**2)*((-1 + 1 + g)*(2*g + 4*g + 0*g) + (-6*g + 4*g + 0*g)*(-1 + 1 + g) + g**2 + 4 - 4).\nAnswer: 45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i + 80 = 102*i + 23*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**6\/24 + 7*l**5\/12 + 35*l**4\/6 + 50*l**3\/3 + 123*l**2. Determine t so that k(t) = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2121 and 7?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 + 9*t + 8. Let u(m) = m**2 - m - 1. Let c(i) = -4*i**2 + 3*i + 3. Let x(z) = c(z) + 5*u(z). What is -2*o(j) - 9*x(j)?\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3077 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.059 - 8.059. Let j = -4 - -1. Which is the second smallest value? (a) j (b) -5 (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3\/55662)*3\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 47*m - 2. Let s be z(7). Let n be s\/(-8) + (-11)\/(-2). Is n at most -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tdttttddddttdddd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14*m**2 + 3*m - 72. Let p(b) = 5*b**2 + b - 24. Let i(d) = 17*p(d) - 6*w(d). What is the units digit of i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 20, -7, 0.5, 1.11 in increasing order.\nAnswer: -7, 0.1, 0.5, 1.11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133208064 divided by 2628.\nAnswer: 50688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let j be (-1)\/((m\/1)\/12). What are the prime factors of (-1)\/j + (-79)\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*n + 8*n. Let w(j) = -j**3 + j**2 - 2. Let l(y) = y**3 - y**2 - y + 1. Let b(q) = n*w(q) + 5*l(q). Let b(t) = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 5*z**2 + 21*z**2 - 2 - 31*z**2 + 2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -646881417 divided by -39\nAnswer: 16586703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 29. Let x(n) = 7*n**2 + n + 57. Give 5*t(v) + 2*x(v).\nAnswer: -v**2 + 2*v - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3860 and -87\/8?\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2996344.826 take away -24.4?\nAnswer: -2996320.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 211120?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*r = 3*l - 64, r = -l - 421 + 387 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 + (7 - 5)) - (-4 - -50 - 4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f + 51*f = 0. Suppose 8 = 3*a - 4*a - 2*g, f = 2*a - 4*g - 24. Calculate the lowest common multiple of a and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*c - 21*c + 23*c)*(118*c - 19*c - 13*c) + (8 - 11*c - 8)*(-1 - 3 + 3)*(3*c - 7*c + 2*c) in the form z*c**2 + w*c + v and give z.\nAnswer: -1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2 - 2)*(6*l - 22*l**2 - 5*l - 3*l).\nAnswer: -22*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/14*(336\/(-5))\/6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-14) + -1 + -8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -241 and -246 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1290, -816, 474, 2988, 7134, 13320, 21954?\n\"Answer: 68*z**3 - 2*z - 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*w - 20 + 20)*(22*w + w + 43*w + (-1 + 1 + w)*(0 + 1 - 3)) as q*w**2 + i*w + y and give q.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 319 + 799 = -870 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24023 rounded to the nearest 100?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14823548.\nAnswer: 2, 3705887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 6\/(90\/(-107))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -43 + 5*b - 1\/3*b**3 + b**2. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**6\/360 + 2*a**3\/3 - a. Let v(r) be the second derivative of l(r). Let x(b) = -b**2. Determine x(v(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = -40. Let u be 4 + 3 + -4 - (-38)\/x. Sort 1\/2, 0.4, 1, u in descending order.\nAnswer: 1, 1\/2, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13502 = 26*g - 4100. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2397 + 2419 = 4*f + 5*t, 4*f - 2*f = 11*t + 38 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*l - 2, 0 = 5*l - 2*r + 2 - 26. Let z(u) = 3*u**3 + 2*u**2 - 5*u - 1. Is z(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2401413 (base 5) in base 9?\nAnswer: -66300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16024 is divided by 14401.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:59 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747545118 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-1 + 1)) + -2 + 25. Suppose 0 = -g*f + 22*f - 216000. Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwhwwwnr. Give prob of sequence rbwn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -21487*c - 279189. What is j(-13)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2496 + 2497.1. Which is the second biggest value? (a) t (b) 99 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76062, -304259, -684586, -1217043, -1901630, -2738347?\n\"Answer: -76065*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 4 + 0 + 1540\/(-91)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53771 less than 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 0*g + 0*g + (6 - 1 - 3)*(840 - 111*g - 840) to n + z*g and give z.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.93. Let y = -2.037 + -0.088. Let r = -0.125 - y. Which is the nearest to 1\/3? (a) o (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 1. Let d(k) = -82*k. Give d(j(l)).\nAnswer: -492*l + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1314224 (base 6) to base 14\nAnswer: -1c476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47, -519, -1849, -4481, -8859, -15427, -24629, -36909?\n\"Answer: -74*r**3 + 15*r**2 + r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q - 5616 = 35*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2452 - 23?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 4*p)*(-1 - 4 + 6) + 4*p - 6*p + 5*p + (-1 + 1 + 3*p)*(-13 + 3 - 2).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3473144 (base 8) in base 5?\nAnswer: -220312222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38.3 + 125109\nAnswer: 125147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9048?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/1165393 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1065412643 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-15)*48\/(-216)*35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 41*l + 102. Determine j(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 8*v**2 + 16*v - 5. What is s(-7)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let m(f) = -4 - 2 - 14*f + 6. What is q(m(h))?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319565.\nAnswer: 5, 63913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66146815909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 11*i**2 + 35)*(6 - 11 - 33) to the form u*i**2 + o + t*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -3 (c) -1\/12 (d) -2\/7 (e) 3910 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.17. What is the biggest value in -5, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.91\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 + 8*d + 13. Let u be a(9). Suppose 0 = u*q - 0*q. Let j(c) = c**2 + 7. What is j(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(4*r**2 - 2*r**2 - 4*r**2) - 4236*r**2 - 17 - 27 - 23 + 67.\nAnswer: -4238*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/5))\/((n\/(n\/(n**11*n))*n)\/n))\/(n**(-8))**(-36))**(-1\/6) assuming n is positive.\nAnswer: n**(249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(8)\/(-4*sqrt(4) + sqrt(4)) - sqrt(8)\/(3*sqrt(4)) - 5*(sqrt(8)\/sqrt(64) - sqrt(32)\/sqrt(4)))**2.\nAnswer: 9409\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 30948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.69 - -16.69. What is the closest to 0 in 30, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.103842 or -31?\nAnswer: 0.103842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Let h be (3\/(-2) - -2) + 15\/6. Suppose r = 2*m + 12, -4*r + 0*r - h*m = -70. Solve f*u - 4 = r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857015?\nAnswer: 3, 5, 29, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-41)\/(k*k*(k**(-1\/10)\/k)\/k*k*k) assuming k is positive.\nAnswer: k**(-429\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346070156.\nAnswer: 2, 17, 1609, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*h = -u - 20, 5*u = -5*h - 40. What is the remainder when 23 is divided by ((-3)\/(-2))\/(u\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.452721818 - 1.4527. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let n(r) = 2*r**2 - 2*r - 2. List the prime factors of n(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1751)\/206)\/((-5)\/(-40)*4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let l(h) = 0 + 2 + 23*h + 5*h. Let o(m) = -14*m - 1. Let r(s) = -4*l(s) - 7*o(s). Give p(r(t)).\nAnswer: -196*t**2 - 28*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**7*a)\/(a\/a**(2\/17)))**(22\/9)*(a\/((a\/(a\/(a**(2\/3)\/a)))\/a))**(-4\/3)*(a**(-1\/2)\/a)**(33\/5) assuming a is positive.\nAnswer: a**(1577\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4697 - -9053. Let h = 47873\/11 - r. What is the common denominator of h and -76\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3662867 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2495 divided by 499\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -3\/4 (b) 3 (c) -207\/11 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -5. Let g = 11.28 - a. What is g rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5009508922 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: Solve 42*x - 128 + 254 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2, -1, -13 in decreasing order.\nAnswer: 5, 3, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 7 = -a + 4 + 7, -2*a = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 467*k + 15021. Determine d(-33).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.21. Let f = 0.3 - o. Let x = 2 + -5\/3. Is x bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 135 = -3*q. Let j be 1 + 4\/(-10) + 1056\/q. Solve -3*d - 11 = -x + 1, 5*d = 4*x - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (19 - (-7 + 14) - 8) + -36\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49156 - 11050*i - 4956*i - 49156 + 3476*i.\nAnswer: -12530*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 72.7306 centuries?\nAnswer: 7273.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 5*w**4\/4 + w**3\/6 + 2*w**2. What is the tens digit of j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 5}. What is prob of sequence qq?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/y*y*y\/y**24)\/((y*y\/y**12)\/y**(-22)) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/33 - 4\/11. Let k be (-6)\/28*(0 - (-8)\/(-12)). Is t at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 35 + 179. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 11*q**2 - 12*q - 1. Is s(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/18 (b) 0 (c) -68 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872211431.\nAnswer: 7, 13, 971, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*a + v, 3*a - a + 8 = -v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 953.554 - -105.616. Let r = i + -1054. Let t = r + -0.17. Sort t, -1\/3, -0.2.\nAnswer: -1\/3, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 57*m + 678. Let o be t(-10). Solve o = -12*u + 32 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5508, -8924, -14618, -22590, -32840, -45368, -60174?\nAnswer: -77258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 78981?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.553397 micrograms in milligrams?\nAnswer: 0.009553397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b1990 - 4?\nAnswer: b1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600789, -600792, -600795, -600798?\nAnswer: -600801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73932842 + 73932842.45200369. Let w = 0.452 - o. What is w rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69852 - 8961. List the prime factors of j.\nAnswer: 3, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74504562 rounded to the nearest one million?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 42881732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.995 + 68.995. Let b = -109.095 - -176.095116. Let t = b - v. What is t rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 + 36780*h**4 + 66303000*h**3 - 4905653760*h**2 + 111328635600*h - 744864984000 = 0.\nAnswer: -3714, 12, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*u**2 - 322*u**2 - 409*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9*(-2)\/(-8))\/((-580)\/232)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 3*g - 21, -4*y - 2014 = -2*g - 2032 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828, 2866, 6088, 10488, 16060, 22798, 30696?\nAnswer: 39748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.17, -231, 3, 55, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 4. Suppose 2 - 18 = 2*k - 4*w, -5*k - 5*w = -20. Let o be h(k). Solve 22 = 5*p + 3*q, q - o = -3*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 6)\/(6\/6750000). What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17bbcb (base 16) to base 6.\nAnswer: 53200535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*r**3 + 204*r**3 + 8*r + r**2 - 2*r - 166*r**3 + 8*r.\nAnswer: -86*r**3 + r**2 + 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*(13 + -8 - -7)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1334 and -1.4.\nAnswer: -1867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 6 (c) -388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -59. Sort 4, j, -0.2, 1\/2 in descending order.\nAnswer: j, 4, 1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*q**3 + 2)*(-1 - q**2 + 1) + (q - 3*q + 3*q)*(q**4 - q + q) - q**5 + q**5 + q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26185?\nAnswer: 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-209)\/114*-1)\/((10\/(-12))\/5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.082482 and -0.5?\nAnswer: 0.041241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 - 31*b**3 + 1572748*b - 375420133.\nAnswer: 8*b**3 - 93*b**2 + 1572748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.9 + 55.338. What is x rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i*(i**(-1)*i)\/i)\/i))**(-13\/3))**11 assuming i is positive.\nAnswer: i**(-286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*z + 3*i = -3, 5*i = 4*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20377 and 57400?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = -4*k + 3*i, 4*k + i = 16. Let m be (4\/3)\/((-3)\/9). Sort m, k, 3.\nAnswer: m, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 44*x**2 + 140*x - 3. What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.419.\nAnswer: 5.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33284749?\nAnswer: 23, 233, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5\/3 - 3388*a**4\/3 - 6716*a**3 + 30332*a**2\/3 + 47096*a\/3 = 0 for a.\nAnswer: -841, -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 110 = 22. Calculate the smallest common multiple of i and 12\/(-4)*20\/(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 - 4. Let s = -3 - -3. Let l be r(s). Let o be (-2 - l) + (-32)\/17. Put o, 3\/8, 3 in ascending order.\nAnswer: o, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 1\/3, 5, -0.3, -415?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*h - 3570, 2*x - 4408 = -4*h - 842. Let v = 28661\/16 - x. Calculate the common denominator of -59\/24 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*r + 4*r - 91, 5*r = -20. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 2, -1, -33, -4, -2 in descending order.\nAnswer: 2, -1, -2, -3, -4, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 4773 + 4389 = 0. Calculate the least common multiple of 66 and s.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -1001?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 64 = n. Calculate the remainder when n is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*b - 23, 5*y - 4*b = 8 + 3. Let l = y - -4. Suppose -4*v - 18 = z, 0 = l*z - z - v - 9. Solve z*i + 7 = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(0 + (-1)\/1). Solve 5*g - k*c = -10, -2*g + 2*c - 3 = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -87. Let d = x + 60.7. Which is the biggest value? (a) d (b) 2\/11 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/4)\/((-2)\/(-8)). Suppose -8*t = -k*t - 710. Find the common denominator of ((-2)\/4)\/(10\/t) and -3\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -222.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-500) + (-58)\/180. What is the smallest value in d, 15, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/(h*((h**(-2\/11)*h)\/h)\/h)*h))\/(h**9\/h)*(h**(-7)\/h)\/(h\/h**(-1\/18)) assuming h is positive.\nAnswer: h**(-4007\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 33 - 21 - 2*x - 4*x**3 - 14 + 2*x**3 to the form k + w*x**3 + a*x + s*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 551 + 83 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921006, 920969, 920926, 920877, 920822, 920761?\nAnswer: 920694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from sskkkkgzkwkkgkkgkk?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(5\/4)*w)\/w*w)\/(w**(-1\/8)*w))\/(w*w**(-2\/7)\/w)**38 assuming w is positive.\nAnswer: w**(657\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -13, 1.227?\nAnswer: 1.227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 - 1. Let a(r) = -528*r**5 + 6*r**3 + 6*r**2 - 8*r - 37. Let b(f) = -a(f) - 6*k(f). Find the second derivative of b(p) wrt p.\nAnswer: 10560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16534253, -33068506, -49602759?\n\"Answer: -16534253*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/2 - 3171*q**2 - 82995*q\/2 + 44667 = 0.\nAnswer: -14, 1, 2127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 5*h - 7. Suppose 0 = 5*z + 33 + 12. Is g(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2536199 - 2599603807\/426081432. Let f = j - 11\/168. What is the common denominator of f and -13\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295298 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 4*i**2 + 4*i**2 - i**3 + 0*i**2 + 0*i**2 + (2*i**2 + i**2 - i**2)*(-i + i + i) + 2 - 2 + i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002235115468 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 535*a**3 - 119*a**2\/2 + 4*a - 302. Find the second derivative of c(d) wrt d.\nAnswer: 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1825 or -1807?\nAnswer: -1825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 351 + -237. Let r = v - 114.000091. What is r rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aem when three letters picked without replacement from {z: 1, a: 1, m: 5, e: 3, y: 2}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*j**2*p**2 + 15*j**2*p + j*p**2 - 1041*j*p - p**2 wrt p?\nAnswer: 244*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 17*i**2 + 12. Let b be j(17). Suppose -b*x + 16 = 76. Sort 1, x, 21 in decreasing order.\nAnswer: 21, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 14*d - 35. Let v(h) be the first derivative of 3*h + 1\/4*h**4 + 2 - 2*h**d + 3\/2*h**2. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2015 + -2011. Let c be 1\/(1\/5 + 0). Suppose -5*b - c*f = -10, b - 6*f - 10 = -3*f. Solve -u - s = -b*u + 13, 2*u - a*s - 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7809 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f**2 + 11 - 133 + 11 - 147*f**2 + 111.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.347745 times -0.007?\nAnswer: -0.009434215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 - 27*l**2 - 8*l + 8. Let t be v(7). Which is greater: -3\/373 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + 0 - (8 + -6). Suppose -y*w - 50 = -5*o, 5 = -4*w - 11. Let k(x) = -x**2 + 9*x - 9. What are the prime factors of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 120.8. Which is the second smallest value? (a) -4 (b) 1\/5 (c) 0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31698047 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 873533*t. Let v(p) = 4*p**2. Calculate v(b(q)).\nAnswer: 3052239608356*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1b0?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 12*h = 0. Suppose 4*a = -h*a + 104. Let k = 136 + -71. Calculate the highest common divisor of k and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 = l + 13, 0 = -5*c + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -5 + -4*(-3*(sqrt(2057) - 3*(sqrt(2057) + -1)))**2.\nAnswer: -296542 + 4752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (122 - 131)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 115. Let c be f\/(-3) + 1\/3. Find the third derivative of 12*n + 13*n**2 + 3*n**4 + c*n - 25*n wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 6?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 14 + 19 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104999 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w**3 + 0*w**3)*(1 - 6 + 3) - 5 + 5 - w**3 - 2 + 2 - 2*w**3 - 9*w**3 + w**3 + 6*w**3 - 1 + 1 - w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 2*y + 2. Let f be z(-4). Let r(m) = m + 10. Let g be r(f). Suppose g - 8 = -a. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21382930)\/235*(-1)\/(-2). Let c = 45499 + w. Let i = -6179\/752 + c. Calculate the common denominator of 65\/14 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-15 + (12 - (17 - 13)) - -21)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 8*x - 2*x - 4*x - 2 + (-1 + 1 + 1)*(-5*x**3 + 2*x**3 + 2*x**3).\nAnswer: -2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14180954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6*j - 2 = n, -46 = 2*n + 19*j + 26*j - 50*j for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -509*y**3 - 4072*y**2 - 90*y - 729. What is t(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122720 divided by 5.\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10540020 divided by 5.\nAnswer: 2108004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 660026548 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:16 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 31*h**2 - 101*h - 39. Determine g(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3200340 + 12?\nAnswer: -3200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.202 + -3.202. Let y = 12.1 - 9.1. Let o = 1 + -2. What is the nearest to i in 0, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.57 - -0.27. Let m = -1 - o. Let y = 0.4 - m. What is the nearest to y in -2\/15, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4303320*n**4 - 2075237*n**2.\nAnswer: 103279680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-398820)\/(-480) - 18\/(-16). Calculate the highest common factor of 96 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 7*l. Let d(q) = -q**2 - 8*q + 1. Let f(r) = -2*d(r) + 3*j(r). Let t be f(-4). Solve -7 = t*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/2 - 265377*c**2 - 1592343*c\/2 + 4776867 = 0. What is c?\nAnswer: -6, 3, 176921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2343 divided by -4.\nAnswer: -2343\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15632788*p**4 - 32307*p - 86 wrt p.\nAnswer: -187593456*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 2\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxixxddddddlil. What is prob of picking 1 d and 1 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.1 + -0.9. Let i = u - -36. Which is the nearest to -0.1? (a) i (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjjtj. What is prob of sequence tjt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4))**3*((c\/(c*c**(-9)*c))\/c)\/(c\/(c\/(c*c**(8\/7))*c*c)*c))**35 assuming c is positive.\nAnswer: c**(925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*22\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/17 - 750*b**4\/17 - 27406*b**3\/17 - 199562*b**2\/17 + 1151280*b\/17 - 1273000\/17 = 0.\nAnswer: -335, -25, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(1100)))**2 - ((sqrt(11) + -1)**2*6 + sqrt(704)*1).\nAnswer: 4*sqrt(11) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) -3 (c) -2\/9 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545720 is divided by 309126.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 0 = -12. Let b(g) = -9*g + 9. Let r be b(v). Let f be 3 + -1 + r + 100. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -16. Suppose -q*r = -5*r - 340. Let v = 54 - r. Solve l = -3*l - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1915\nAnswer: -574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 5*b**2 - 2*b**2 - 18.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1100 - -1094. Let p(l) = 6 + 0*l + 2*l + l. Let i(q) = -5*q - 22. Let o(y) = -2*y - 11. Let x(g) = -3*i(g) + 5*o(g). Give r*x(k) + 11*p(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 4, -0.9, -1\/2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 6. Suppose -a = -2*a + 3*k - 7, -a = -k - 1. Suppose -g = -a*g - 4. Let w = 2 - g. Determine d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*t = 25, -5*t = 4*f - 108 + 38. Suppose 3*h = 6*h - 315. Calculate the highest common factor of h and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39587 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: Four letters picked without replacement from {m: 1, u: 4, t: 6, w: 1, f: 8}. What is prob of picking 4 f?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*b = 445, v + 4*v + 5*b - 1050 = 0. Suppose -v = -3*p - 4*q, 4*q + 4 - 12 = 0. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(12).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51366034*d*v**3 - 5*d*v**2 - 51*d*v + 36671*d - 19*v wrt v?\nAnswer: 308196204*d*v - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41428 greater than -41365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*k - 8. Suppose -3*a + 3*s + 33 = -k*s, 3 = s. Suppose b + b = a. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1344788 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + 7*c**2)*(5*c**2 - 4*c**2 + 0*c**2).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and 10386488.\nAnswer: 10386496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)\/q*q*q*(q\/q**(-12))\/q)\/(q**(6\/5)*q*q\/(q\/(q\/((q\/q**7)\/q))*q)) assuming q is positive.\nAnswer: q**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16418 - 2388 = -57*y + 5647. Calculate the smallest common multiple of 390 and y.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1175.12 - -1175. Which is the closest to 1? (a) z (b) -2\/7 (c) 4\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = 17*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 767633935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 3026?\nAnswer: 12104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x - 74 + 164 - 88 in the form c*x + s and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.5, 2, -108, 2\/13, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/9 in -0.07, -0.2, 0.05, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {d: 2, v: 1, w: 1, o: 2, p: 1, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4050.821 weeks?\nAnswer: 2449936540800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, q: 3, j: 4, m: 1, u: 3, e: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*m - 3 = 0, 9*i - 3*m = 4*i + 15. Suppose -u - i*q = 11, -3*u - 4*q + q - 15 = 0. Let b = 8 - 8. Put u, b, -3 in decreasing order.\nAnswer: b, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -6 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**3\/7 + 132*u**2\/7 + 326*u\/7 + 60\/7 = 0. What is u?\nAnswer: -10, -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 17083*y - 102479. Determine t(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-14)\/(-2016))\/((-1)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 8*p**2 - 23*p - 30.\nAnswer: (p - 3)*(p + 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 1.2. Let f = 2.9 + -1.9. Let h = -0.1 + f. Is h > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 7.8. Let y = -6.9965 + f. What is y rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*2\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*v = 4, 5*h - 8*h - v = 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -4)\/(-14 - -13). Solve -3*n + y + 4 - 19 = 0, o = -4*n + 5*y - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/(-1508))\/(24\/(-112)).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*(-6 + 9). Suppose 5*t + x - 11 = 0, 2*t = x + 6 + r. Let s = 0 + t. Solve s = -g - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002291 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.536 + -219420167\nAnswer: -219420167.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 194 = -3*c + 203, -b - c = -3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 and -95\/133506?\nAnswer: 1068048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313283 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (798147\/168498 - 8). Let s = 2\/4255 + c. Calculate the common denominator of s and -121\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18930*c - 8253486. Calculate f(-436).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -189, -187, -183, -177, -169?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -173 + 179 + (0 - (0 - 1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let h(r) = 10435*r. Determine h(f(g)).\nAnswer: -10435*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:08 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292) - -2*sqrt(6292)) + sqrt(6292) + sqrt(6292) + sqrt(6292) + (sqrt(364)*1)\/sqrt(7))\/(4*sqrt(640)\/sqrt(10)).\nAnswer: 67*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 992565 and 92475.\nAnswer: 14888475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 10:26 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 265? (a) -2 (b) 4 (c) -1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 118*h**4 - 33 + 80*h + 11*h**3 - 4*h**2 - 58*h**2 + 117*h**4.\nAnswer: -(h - 11)*(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2712 and 14?\nAnswer: 18984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 2?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + d + 3. Let q be s(-5). What is the units digit of (188\/(-8))\/(1\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58, -240, -726, -1666, -3210, -5508?\n\"Answer: -25*o**3 - 2*o**2 - o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 10*w + 6. Let n(x) = -2. Let q(d) = -6*n(d) + r(d). Calculate the least common multiple of 8 and q(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -896\/343785 or 0?\nAnswer: -896\/343785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -7 (b) -0.1 (c) -0.2 (d) -2\/5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 10*w**2 + 8*w - 7. Suppose -49 = 7*j + 14. Let o be m(j). Let l be 1*(0 + -2 + o). Solve -2*u + l*u = 5*b - 13, -3*b + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21))**10*h*h*h\/(((h*h**9*h*h)\/h)\/h)*h*h*h**(-2\/99) assuming h is positive.\nAnswer: h**(-21287\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:41 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 804\/((-156)\/432 + 4\/36). Let k = u + 5627. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26198427 to the nearest integer?\nAnswer: 5118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 60 (c) 0.5 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*m - 23*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 + 6251*t - 50456. Give j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*s + 17. Suppose s = i + 2. Suppose -f - i*f - 6 = 4*k, -5*f + 5*k + 25 = 0. Let x(b) = -b**3 + 2. Let j(v) = v**3 - 3. Give f*j(u) + 3*x(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 - 4*h + 1. Let u be b(3). Suppose -64 = 2*w - 0*w. Let c = w + u. Calculate the remainder when 38 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 620, 2073, 4896, 9545, 16476, 26145?\nAnswer: 39008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148254 + -89693704\/605. Find the common denominator of i and 46\/935.\nAnswer: 10285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(13) + sqrt(130)\/(sqrt(10)*2) + 3 + (sqrt(13) + 0 - sqrt(13)))*2)**2*-1.\nAnswer: -126 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/7 (b) -1\/9 (c) -0.4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 30?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15001903?\nAnswer: 7, 29, 67, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/2*k**4 + 2\/3*k**3 + 1\/2*k**2 + 0 + 1\/5*k**5 + k + 1\/30*k**6. Let d(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274 or -275?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -105. Let n = -712 - -697. Let h = d - n. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 3*u + 8. Let z(i) = 4*i**2 + 3*i - 8. Let s(v) = -2*v**2 + 15*v - 21. Let n be s(5). Let k(o) = n*z(o) + 3*x(o). Calculate k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 4*k**2 - k - 1. Let v be q(-4). Solve v*j = -0*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -36*a - 60. Let p = 1 - a. What is the least common multiple of 46 and p?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -11 + -3)*1\/((-1)\/(-3))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*-2*((sqrt(192) + 1)*2 + -3)**2*-1*-4.\nAnswer: -1536*sqrt(3) + 36912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*2*sqrt(7))**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 538.7 * 12.469.\nAnswer: 6717.0503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700\/(-225)*(-27)\/2*98\/(-294).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 6*a - 14. Let l(k) = -4*k**2 - 5*k - 12. Let g(c) = -5*l(c) + 4*p(c). Give g(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 4 - 5 - 1)*(d - 2*d - 5*d).\nAnswer: -30*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/64)\/((-2552)\/72384).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16 - 6*l**2 - 13 - 47*l - l**2 + 41 + l**2. Let t(c) = 3*c**2 + 23*c - 21. Let z(o) = 5*t(o) + 3*w(o). Differentiate z(u) wrt u.\nAnswer: -6*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 38*q - 11. Is n(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1555*7\/(35\/(-2)). Let t = z - 421. Let r = t + -82. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2003.99 - -2002. Round h to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 8*p + 20*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3532 and 1293595?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1807)\/(-130) - 1003\/295)*2\/(-9).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.3 (c) 2498 (d) -0.1 (e) -175\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369 + -79. Let x = y + -128. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 6408*z + 31 - 18 - 2360*z as h*z + a and give h.\nAnswer: 4048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -4.169 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2183784864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 7971?\nAnswer: 223188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -850\/3, 0.1 in ascending order.\nAnswer: -850\/3, -7, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*o**2 - 1\/5*o**3 + 2\/5 + 1\/5*o.\nAnswer: -(o - 1)*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816.7 + 36724.38?\nAnswer: 34907.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 4*k - 2288, 3*r = -4*k + 3412. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {u: 5, k: 14, w: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5079.999990467 + 5080. Round w to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**2 - 23*k - 5. Let l(b) = 5*b**2 + 11*b + 3. Calculate 7*l(a) + 4*w(a).\nAnswer: -a**2 - 15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 52. Let w(q) be the third derivative of f*q**6 + 0 + 0*q**3 + 0*q + 1\/105*q**7 + 5*q**2 - 1\/6*q**4 - 1\/10*q**5. Factor w(j).\nAnswer: 2*j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 1 - 11. Let o be (-8)\/(-28) - 38\/84. What is the third biggest value in u, o, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.9 + 37. Let g be 3*((-20)\/42)\/5. What is the closest to p in -3\/7, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29912 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: Round 0.00030036 to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 16 + 32. Suppose 4*s = s + l. What is the remainder when 10 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 7. Let t(n) = 6*n**3 - n**2 - 6*n + 6. Let z(f) = 5*f**3 - f**2 - 5*f + 5. Let v(x) = i*t(x) + 5*z(x). Let v(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -353 - 3?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/12*s**4 + 0 + 1\/2*s**3 - s + 0*s**2. Let j be u(-4). Solve f - j*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(2268) - sqrt(2268))*6)\/(-3*(1*sqrt(100) + ((1*sqrt(4) - sqrt(4))*-3 - sqrt(4)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x*x*(x\/x**(-2\/27))\/x)\/x*x)*x)\/((x**(-9\/4)*x)\/x))**(-2\/99) assuming x is positive.\nAnswer: x**(-343\/5346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(392)*2 - ((sqrt(72) - (sqrt(72) + 1)) + 0))*3)**2.\nAnswer: 2520*sqrt(2) + 352809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**8\/6720 - o**7\/840 - o**6\/288 - o**5\/240 + 2*o**3 + 2. Let g(r) be the third derivative of k(r). Let g(n) = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/2009217?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from pspppppsppsppppppp.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 324966 divided by 2642\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7296876?\nAnswer: 2, 3, 17, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.17 from 53.\nAnswer: 59.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1620))\/(sqrt(50)\/sqrt(5)*-5 + sqrt(10)) - (sqrt(256) + sqrt(256) + -3*sqrt(256) + sqrt(256))\/sqrt(512).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/8 - y**3\/6 - y**2. Suppose 161*l = 162*l - 3*w + 9, 3*l + 17*w - 77 = 0. Determine b(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 56 and 1\/2510 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/7372 and 333\/30 + -3 - 146\/(-365)?\nAnswer: 7372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32293704932 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 207?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 13, 14, 15, 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 15*w - 6. Let x(h) = 4*h**2 - 14*h - 5. Determine -2*b(q) + 3*x(q).\nAnswer: 2*q**2 - 12*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 11*o - 28. Let x be w(2). Suppose -x*m + 84 = -4*j, 2*j - 3*j = 5*m - 188. What is the greatest common divisor of m and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76237921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 - 10*x - 47. Let w be j(-5). Determine n, given that -4\/15*n - 14\/15*n**2 + 14\/15*n**4 + 4\/15*n**w + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.216 * 16.2.\nAnswer: -651.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(2299) + 1 + (sqrt(2299) - 1*(sqrt(2299) + 1 - sqrt(2299))))**2.\nAnswer: -44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -60. Let a = m - 1. Is a at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956*a + 956*a - 31*a**2.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -28*a**3 - 4*a**2 - 5*a - 5. Let d be v(-2). Let n = d - 149. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -44. Let n = -76 - -153. Let x = n + -38. What is the highest common factor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*w**2 + 1030*w**2 + 93 + 96 - 189.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 13) to base 6\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2052)\/3096*2\/(-36) and 91\/20?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -22. Put 1\/4, 0.2, 0.1, o in decreasing order.\nAnswer: 1\/4, 0.2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.098 and 7.\nAnswer: 7.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 549135 > 549135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24059469\/166 + -144937. Calculate the common denominator of 73\/14 and q.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32866400 (base 9) to base 14.\nAnswer: 2188a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1620)\/(-120))\/(27\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 15*a + 3. Let w be d(-5). Suppose 2*g + w*n = 21, -1 = -3*g + 4*n - 12. Solve -4*b - 7 = -g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684) - (sqrt(19) - (sqrt(1900)*-1)**2)) + (5*-4*sqrt(114))\/sqrt(6).\nAnswer: -15*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmfz when four letters picked without replacement from {t: 2, e: 2, m: 4, z: 1, f: 3, d: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 17*q**2 - 1800*q - 137. Determine w(106).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 4, -2, 36, -1902.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-6 - (-4 + -10)) + 3 + -35) - 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -3. Suppose -c + 15 = b - 0*c, 3*b = 3*c + 75. Solve -g = x*g - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 155\/3. Which is the closest to 0? (a) 1\/2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 13*p - 15 + 2*p**2 - 11*p + 0*p**3 + p**4 - p + 10 in the form w + u*p**4 + f*p**3 + a*p + j*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 3*z**2 - 6*z**2 - 10*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 402 = 2*u, u = 2*u + 5*b + 196. Let d be ((-54)\/(-36))\/((9\/(-1902))\/(-1)). Let s = u + d. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11326 and 3316.3.\nAnswer: 3316.41326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) -3\/5 (c) -162 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**9\/5040 - u**5\/24 - u**4\/4 - u. Let y(t) be the third derivative of b(t). What is the derivative of y(x) wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 14) + 800\/80\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6, -r - 4*s - s = 15. Suppose r = -5*x + 31 + 4. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*n**3 - 2*n**3 - 15*n**3 + 18 + 9*n**3 with respect to n.\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4954732\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2733*n**3 - 13*n**2 + 91*n?\nAnswer: -16398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4053052 = -4*v - 957072, 2321981 = 3*v + k. Suppose 3*n = 2*i - v, -2*n - 973304 = -5*i + 961692. What is i rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.014071 - -0.009971. Let s = x - -55. Round s to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/3*(6 - (-4)\/((-60)\/111)). Solve s = -2*k - 1, 2 = -3*k + 5*s - y*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 3*t - 31, 0 = -2*w - t + 29. Let f(c) = -c**3 - 3*c - 3. Let m = 27 + -23. Let j(i) = i + 1. What is m*f(l) + w*j(l)?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 536, -0.2, -0.4, 1, -13\/5, 0.1.\nAnswer: -13\/5, -0.4, -0.2, 0.1, 1, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 115\/(-4) + 8\/(-32). Let p = b + 41. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4527, 4\/9, 1\/6, -0.04?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426919.\nAnswer: 3, 11, 251, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-8)\/(-14) - (-9)\/21). Let y = -490 - -502. Solve y*m = 13*m - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 4 = 0. Let n = 28 + -18. Suppose -n = -5*o + 5. Put h, o, -5 in ascending order.\nAnswer: -5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036893047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 17542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 2:55 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-99)*(75\/6 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from {o: 9, s: 4, e: 1, u: 4, z: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -86*p + 1. Let r be y(-1). Let o = 50 - r. Let k = o + 51. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*s + 36 = 462*s. Calculate the greatest common factor of s and 428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*-8*1\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002558753 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s + 3. Let d(b) = -5*b + b**2 + 1680640 + 1680639 - 3361276. Suppose h + 8 = -y, -3*h - 8 = y + 10. Calculate h*l(f) + 4*d(f).\nAnswer: -f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 522\/17 in 2, -4, 16\/5, 2\/11?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6337 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524878 is divided by 1556?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r, 17 = 4*g - 0*g - r. Suppose -5 = -5*c, -t + 19 = 2*t - g*c. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**3 + 6*b**2 + 6. Let k(m) be the second derivative of -m**5\/20 + m**4\/12 + m**2\/2 + 7*m. What is -6*k(d) + u(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57934016713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63.94 + -64. What is the second smallest value in -5\/2, k, 5, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.26 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4821311 is divided by 370867.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79929483 to three decimal places.\nAnswer: 0.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/5 - 7336*z**3\/5 + 4487184*z**2\/5 - 916876376*z\/5 + 912396524\/5 = 0. Calculate z.\nAnswer: 1, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 24 = -24. Solve z = -4*z + 3*k + h, 2*k - 24 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + t**2 + t**3 + 4*t**3 to w*t**3 + y*t + u*t**2 + r and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 2*j + 2. Let p(u) = -u**3 + 16*u**2 - 43*u + 23. Let y(w) = -4*b(w) - p(w). What are the prime factors of y(20)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103, -202, -301, -400?\n\"Answer: -99*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16591, 16592, 16593, 16594, 16595, 16596?\n\"Answer: l + 16590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.7.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x - 4*x. Suppose q - 63 = x*b, 3*q = -0*b - 5*b + 189. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:04 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(16\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3*c**2 - 51. Let o(q) = 3 - 3 + q**2. What is o(f(z))?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-6))\/(17\/(-4)). Let x = 0.3 + -0.3. Let c = -2 - -1.5. Sort g, x, c in decreasing order.\nAnswer: g, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.1 (b) 0 (c) -1\/6 (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 + 3*a + 11. Let h(x) = -2*x**3 + 3*x**2 - 10*x - 32. Give 8*g(v) + 3*h(v).\nAnswer: 2*v**3 + v**2 - 6*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 7*v**2 + 3*v**2)*(-154 - 9*v + 154)*((-1 - 1 + 4)*(6 - 1 - 4) + 4 + 2 - 5)*(-3 + 3 + 2) to c*v**2 + q*v**3 + b*v + j and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**2\/2 + 13*r + 1. Let q be ((-12)\/1)\/(1 + -2). What is the units digit of k(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125003500554 - 2?\nAnswer: 125003500552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.0298.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**5 - 226*c**3*x**3 + 2*c**2*x**3 + 5*c**2*x**2 - 18*c*x**3 wrt c.\nAnswer: 180*c**2 - 1356*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*o = -80, 0 = -4*z + 23*o - 22*o + 80. What is the highest common factor of z and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216046, -216043, -216040, -216037?\nAnswer: -216034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b776 (base 13) to base 15.\nAnswer: -196e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12553341 + 3387*m**2 - 12553341 - 407*m wrt m.\nAnswer: 6774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53.5401 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p - 10*p + 1230 = -1962. Calculate the greatest common divisor of 2679 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2481*c + 2916?\nAnswer: -2481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 2\/3, 4, -0.5 in descending order.\nAnswer: 107, 4, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29640342 by -3.\nAnswer: 9880114","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + 0.08. Let d = 0.08 + v. Let j = -0.020008 + d. Round j to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 175 - 1103?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(272) + 2) - (sqrt(272) + 2)*3) + 5)**2.\nAnswer: 144*sqrt(17) + 1169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y**4*y*y)\/y)**(-41))**(-50) assuming y is positive.\nAnswer: y**16400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 2*w**2 - 22 + 253.\nAnswer: -2*w**2 + 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3647 + 3647 + 214*m)*(-4 + 3 + 0).\nAnswer: -214*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dd + 5?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + t - 64, -4*a + 52 = 259983*t - 259982*t for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9076 = -3610*v + 3758*v + 1728 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 3, p: 3, s: 1, k: 1, n: 3}. Give prob of picking 1 p and 1 j.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*x - 6, 2*x + 0*x - 8 = -3*g. Suppose 0 = 2*r - 3*r - g. List the prime factors of 1 - (8\/r - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8*j = -1767. Let b = j + 329. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -45*q - 9. Let r be a(3). Let d = -151 - r. Suppose -4*v - 24 = 12. Are d and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11 = 4, -6 = -4*l - 2*w. Let v be (-82)\/(-2) + (1 - l). Let f = 0 + 63. Calculate the highest common divisor of f and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(3*z - z + 2*z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/2, 1, -1043.2, -4\/19?\nAnswer: -1043.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 + 1.1. Let n be (-3 - -6)\/(57\/(-6) + -1). What is the second smallest value in n, -3\/4, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfiolooomofollooiof. What is prob of picking 2 f and 1 o?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v + 4*f, -48 = -4*v + 4*f - 0*f. Let z(c) = -c + 6. Determine z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/484)\/(0 - 2\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 196?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3\/3 + 2003*d. Let x(q) = q**2 + 5*q + 69. Calculate r(x(g)).\nAnswer: 2*g**2 + 10*g + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12559 - -12575. Solve 23*v - 25*v = z, -2*x = v + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)*d**10)\/((d**(2\/3)\/d*d)\/((d**6\/d*d)\/d)) assuming d is positive.\nAnswer: d**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 20 = -8*u. Sort -4, -2, u in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105400 divided by 40\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5636.83 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/61 (b) 1 (c) 0 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 37*y**2\/2 - 220*y - 850.\nAnswer: -(y + 10)**2*(y + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 76*l + 293. Calculate u(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 31032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628656 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3952793113 - -5?\nAnswer: -3952793108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 10, -3*b - 1 = 5*t + 6. Suppose 28*g = -15*g + 86. Solve -g*a = -a + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x*z**4 + x*z**3 + x*z**2 + 3*x - 12*z**4 + 7*z**2 wrt z?\nAnswer: -24*x*z + 6*x - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - 11. Let t = -22.7 - -23. Which is the third biggest value? (a) t (b) o (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -23*c - 1. Suppose z = 2*v - 10 - 5, -2*v = -4*z - 30. Let n = 6 - v. Determine j(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 2. Let o be v(-7). Let j(l) = -l + 2. Let k be j(5). Sort k, -2, o in decreasing order.\nAnswer: o, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l - 4, 4*k = -4*l + 16. Let z = 8 + k. Let t = -20 + z. Put t, 5, 3 in decreasing order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 224837*k**2. Let p(z) = -18*z. Determine a(p(h)).\nAnswer: 72847188*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4900*n**2 - 33*n - 5. Let s be i(15). What is s rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 111 (b) 33 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*t - 11794 = -10*t, -u = 5*t - 5915. What is the highest common divisor of u and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 1, a: 3, h: 6}. Give prob of sequence ia.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 195.6 and 31.\nAnswer: 6063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3180755918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.68 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f. Let n(r) = 13*r. Let g(b) = 7*j(b) + 5*n(b). Let m(q) = 20*q. What is m(g(a))?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73492 and 2134169.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11131 + 556 - 4155 = -491*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = -10*z + 7*z, 0 = -4*z - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 61490 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -22. Sort z, -3, 1.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnssqnqrnsqfqnqfrf. What is prob of picking 2 f and 1 r?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -z - 3*z. Let f(t) = -t**3 - 3*t**2 + 3*t. Let n be f(z). Suppose n*a - 2*a = -2, 14 = 3*b - 5*a. Solve -c + 13 = -5*m + m, 2*m = -3*c - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3494085 (base 10) to base 2.\nAnswer: -1101010101000011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60873 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/6 + v. Let i(q) = -32*q + 85. Let n(s) = 11*s - 30. Let w(t) = -6*i(t) - 17*n(t). Calculate w(m(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - -8. Suppose -38 = -4*h + i. Suppose r - 1 = 4*o + h, o + 39 = 2*r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -21*o**5\/5 + 3*o + 19. What is the first derivative of z(p) wrt p?\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1561 - -320125?\nAnswer: 321706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 49*o - 56*o. Suppose 8*j = 4*j + 20, -3*t - o = -5*j. What is the second derivative of -5*z + 2*z**2 - z + 5*z - t*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lklk when four letters picked without replacement from {l: 3, k: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 3, i: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-1\/2)*r))**(-2))**32\/((r*r**0)**(-2\/27))**(14\/11) assuming r is positive.\nAnswer: r**(-28484\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2030, 1144, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 240, 616, 986, 1350, 1708?\n\"Answer: -3*m**2 + 385*m - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171) + -2)**2 - (-1 + sqrt(1216) - (-2 + (-1*sqrt(19))**2)).\nAnswer: -20*sqrt(19) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5893*u**2 - 34*u + 20. Let j(g) = -5892*g**2 + 42*g - 25. What is 4*j(p) + 5*o(p)?\nAnswer: 5897*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1176)\/(-468) + 4\/(-6). Let j = -9\/26 + m. Find the common denominator of 37\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + 1 - sqrt(17)) + (2*sqrt(425) - sqrt(17) - sqrt(17)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (672\/(-1008))\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4687 = -4*a - 4671. What is the least common multiple of a and 580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d + 59136 - 13992 = 1273*d for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82674 times 15231?\nAnswer: 1259207694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 and 5\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 0*i = 0. Let p(v) be the first derivative of 0*v + i*v**3 + v**4 + 1 - 3\/2*v**2. Find the second derivative of p(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Let b be (-3 - 10\/(-4))*n. Let z = -29.95 - -30. Sort -5, b, z.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1584) - sqrt(1584)*-1*-6 - ((sqrt(1584) - -1*sqrt(1584)) + 2)).\nAnswer: 6 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 40*a**4 + 6325*a**3 + 137130*a**2 + 449575*a - 1498910 = 0.\nAnswer: -133, -161\/8, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3564)\/54054)\/((-81)\/(-21))?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/21 and ((-159)\/(-162) + -1)*-124?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 664 = 3*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 9) in base 15?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19485.82cm in nanometers?\nAnswer: 194858200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -123?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/12 + 1132*j**2. Let f(i) be the third derivative of i**4\/8 + i**2. What is f(r(h))?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 57992370118912?\nAnswer: -57992370118911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztzzzzt. Give prob of picking 2 t and 2 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05028469 to five dps.\nAnswer: -0.05028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + k - 135933 = 45726, 5*k = -7*y + 317913. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-3*v + 5*v - 3*v)*(14*v - 19*v + 59*v) to x*v**2 + l*v + t and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*t - 6, -f = -0*f + 3*t + 3. Put f, 6, 1, -4 in descending order.\nAnswer: 6, 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 - -32?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i, -3*o + 6*o + i = 28. Do o and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*y - 1457 = -152*y + 2443 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 6*x - 90 = -r - x + 3*x - 34, -3*x = 38*r - 247 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920\/3360 - 205\/6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - t. What is the remainder when (8\/(-10))\/(t\/(-140)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2343354 or -2343466?\nAnswer: -2343354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*h**4 - 82*h**4 - 197*h**4 - h**3)*(5 + 4 - 11).\nAnswer: 668*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 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: What is the second derivative of 2*q**3 + 15*q**2 + 16*q?\nAnswer: 12*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:10 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**19\/u*u*u)\/(u**4*u*u) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 8 - 2*q**3 + 11 - 3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*d - 257, -3*c + 4*c - 91 = -2*d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-15) + 260\/(-84))\/((-258)\/84 - -3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 893*m**3*z**3 + 18*m**3*z - m**3 - 322*m**2*z + 15*m*z**3 wrt z.\nAnswer: 5358*m**3*z + 90*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 0. Let c(d) = m*d**2 + d**2 + d**2. Let t(x) = 2*x**2 - 15 + 15. Give t(c(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (-2*sqrt(180) + 3)*-4 + 4 + -4)*2*-5)**2.\nAnswer: -124800*sqrt(5) + 1168900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 6. Does 2 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2736)*1*-1 - (-5 + (sqrt(2736) - (sqrt(2736) - (1 + sqrt(2736)) - sqrt(2736)) - sqrt(2736)))) + 2))**2.\nAnswer: -4608*sqrt(19) + 175680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 3, m: 6, k: 1, i: 1}. What is prob of sequence zk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 + 329*m + 38. Let q be v(30). Calculate the greatest common factor of 1348 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -12. Let j = g - -4.9. Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12566, -33625, -54684, -75743, -96802?\n\"Answer: -21059*c + 8493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + 8*b**3\/3 + b**2 + 9*b - 23. Let x be v(4). Let r = -74 + x. What is the least common multiple of r and 43?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*i + 2002 = 1983, 2*m + 2*i - 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 63. Suppose -9*x + f = -14. Which is the third smallest value? (a) 3 (b) 7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u*u\/(u*u\/(u\/(u\/((u\/(u\/u**(-7)))\/u)*u)))))**(-1\/7)\/((u**3*u*u*u\/(u**(1\/5)\/u))\/((u\/u**(-6))\/u**(-2\/5))) assuming u is positive.\nAnswer: u**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by (2 + -3)*((-2 - 2) + -30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxp when three letters picked without replacement from {h: 6, x: 2, q: 1, p: 4}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 - 54832*p**3 + 933448*p**2 + 2031376*p + 1043100 = 0.\nAnswer: -13725, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 3)*((-4*c - c + 3*c)*(-1 + 1 + 1) - c + 0 + 0).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 10, x: 1, k: 3, j: 2, b: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 19*c**3 + 7*c**2 - 11*c**2.\nAnswer: -19*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59356691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 172*u**2 + 41*u + 49. Is c(78) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 2.07. Let z = -9264.5 + 9265. Which is the nearest to u? (a) z (b) -4 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 9*j**2 - 3*j. Let t(b) = 5*b**3 - 26*b**2 - 8*b. Let f(n) = -3*t(n) + 8*v(n). Find the third derivative of f(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 5*w**2 + 5*w**2 + 2*w**3 with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + s - s)*(-3 - 1 + 6)*(18*s - 4*s + 6*s) to the form f + q*s**2 + x*s and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*d = d + 6, 3*d - 9 = -6*x. Suppose -4*k + 1026 + 1358 = x. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144357851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by (-9558)\/(-108) - -2*(-2)\/(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h + 4. List the prime factors of m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*4*4\/176. What is the third smallest value in -0.1, -3, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 41 = 176*y - 121, -29 = -3*y + 4*d - 54 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (1 + 83)\/(-3). Suppose -4*p - 2*r + 17 = -11, r = 3*p - u. Let a(m) = 0*m + 0*m - p + m**2. Determine a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39523317 - -0.03\nAnswer: -39523316.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + 0.36. What is the smallest value in z, 3\/5, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770743 (base 12) in base 2?\nAnswer: -111001100111100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 86?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-17)\/51*1\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i. Let v be q(5). Let p = -1.2 + -2.2. Let m = 3 + p. Which is the nearest to 0? (a) m (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 + -17 + (2 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305306670.\nAnswer: 2, 3, 5, 10176889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 3*p**3 + 3*p**3)*(5 + 1 - 4) - 4*p + 4*p + p**3 - 26*p**3 + 8*p**2 + 33*p**3 - 7*p**2.\nAnswer: 4*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/4 + 44307*k**4\/4 + 490888303*k**3\/4 + 2452979541*k**2\/4 - 981865226*k - 5888001612 = 0. Calculate k.\nAnswer: -22151, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 39584?\nAnswer: 237504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.5658062 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {e: 1, p: 1, h: 3, t: 5, q: 3, x: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77649 and 109819578?\nAnswer: 5973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p**2 + 2*p**2)*(0 + 3*p + 0 - 1).\nAnswer: -3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.07 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87949*w**5 - 6*w + 42 wrt w.\nAnswer: -1758980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*m + 111 = 0, f - m - 53 = -0*m. Let l = 97 - f. Let h(p) = -p**3 - 12*p + 13. Let s be h(-6). What is the greatest common factor of l and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7959964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -57680195 to the nearest 100000.\nAnswer: -57700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + 1.3. Let c = 1.43 + -0.43. What is the third biggest value in -2\/15, c, t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g - 1 + g - 4*g - 13*g. Let y(h) = -1. Calculate -2*p(d) + y(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 7, k: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69a08 (base 16) in base 15?\nAnswer: -882d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 5*p - 18. Let s(q) = -2*q**2 - 3*q + 9. What is -5*s(l) - 3*w(l)?\nAnswer: l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:08 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 15) to base 9.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1032 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 24, 53, 94?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.9 and 16828.85.\nAnswer: 16826.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, -61, -319, -767, -1459, -2449, -3791, -5539?\n\"Answer: -9*t**3 - 14*t**2 - 17*t + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -8658?\nAnswer: 8653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.70039 rounded to zero dps?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -568\/41. Let d = -160\/533 + b. Sort -18, 0.4, 3, d in decreasing order.\nAnswer: 3, 0.4, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244626569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*b + 6 - 2 = 0, -3*f - 3*b = -12. Let g = f + 0. Suppose 579064 = -g*r - 600936. What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128607*x**3 - 5*x**2 + 319*x - 27083.\nAnswer: -771642*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1124 - 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -28*a**3 - 11*a**2 - 9*a + 7. Let z(v) = -14*v**3 - 6*v**2 - 5*v + 4. Let o(r) = 429*r - 1281. Let l be o(3). What is l*c(s) - 11*z(s)?\nAnswer: -14*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + -1104?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 51812*u + 207184.\nAnswer: 4*(u + 4)*(u + 12949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/57)*a*a))\/((a*a**11)\/a*a) assuming a is positive.\nAnswer: a**(-800\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 29, 1\/2, -33\/4, -101?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 - 954982*a\/9 - 10823900\/3 = 0. Calculate a.\nAnswer: -34, 477525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20032143 - -43?\nAnswer: 20032241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 4*b + 1. Let t be l(2). Suppose 225 = 3*f + 2*f. Let s be (-94)\/18 + 10\/f. Sort s, 3, t in ascending order.\nAnswer: s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.893012 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119547289 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: Let s(g) = -13 - 4343*g + 4358*g - 13 + 26. Let i(o) = 194*o. Give i(s(p)).\nAnswer: 2910*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 18, 74, 184, 366, 638?\n\"Answer: 3*w**3 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + 4 + sqrt(6)\/sqrt(8).\nAnswer: -3*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5 = -f, -39*f + 42*f = -c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-25))\/(w\/w**(-3)))**8 assuming w is positive.\nAnswer: w**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + 228 + 158*l**2 + 80*l**2 - 228 + 0*l to the form z*l + x*l**2 + t and give x.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 5*l**4\/4 + l**3\/3 + 2. Let r be j(-1). Let f be 2 - 46\/8 - r\/(-16). Let d(u) = u**2 + 3*u - 2. What is d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 35*p + 3 = 0. Suppose p = -n - 0, -3*n = -o + 16. Suppose -3*x + 35 = 2*l, 2*l = o*l - 4*x - 30. What is the remainder when 109 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67956593 divided by -1.\nAnswer: 67956593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jawjwjjuwujjjw. Give prob of sequence wa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3256 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2 - 35\/(-21)). Let w(u) = -u**3 - 5*u**2 - 6*u - 68. Let m be w(v). Solve m*s - 5*j = -12, 15 + 1 = 4*s + 2*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 15) to base 14.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -66*z**2 - 193*z + 17. Calculate y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 24. Let d be x(7). Is 21237\/d + 5\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 6*n**2 - 1. Let i(g) = g**2. Calculate i(m(b)).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.06, -2, 12, -0.09?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8132\/(-36) - (-33)\/(-297). Put 5, 0, s, 1 in ascending order.\nAnswer: s, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4325*k**3*s**2 - 4530*k**3 - 866*k*s**2 - 8*k*s - 8*k + 4*s**2 - 2*s - 21 wrt k?\nAnswer: 25950*k*s**2 - 27180*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 809185 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 0. Suppose q = -6*n + 2*n + 8. Suppose -n*t - 5*y = -9, -t = 3*t - 3*y - 5. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12538 - 12538 - 7*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30149404 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4464.309 - -9.691. Let g = a - 4572.08. Let w = -96 - g. What is w rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.6929 seconds in microseconds?\nAnswer: 70692900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279 is divided by 75.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24851?\nAnswer: 24851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -213*d**4\/4 + 28*d**3\/3 + 8285*d**2\/2 - 1689. What is the second derivative of i(f) wrt f?\nAnswer: -1278*f + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -3. Let v = a + 2.00032. Round v to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3197 or 1903?\nAnswer: 3197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -35)*(-1 + 3\/9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y + 1. Let m(h) = -48*h + 3. Calculate -2*m(c) + 9*r(c).\nAnswer: -21*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 - -eb?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.625175 + 3.\nAnswer: -4.625175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8456 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6209*3\nAnswer: -18627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - 4\/8. Suppose -2*h + 4*v = 18, -5*h + 2*v - 6*v + 11 = 0. Is h greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-56))\/(-6*(-13)\/(-273)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4)\/(6\/1695 + 0). Let r = -377 + t. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -253 and -0.5.\nAnswer: 126.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 450 - 256. Suppose 2*o - q = -2*y, -o + 5*o = -5*y + 393. Let j = 143 - o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let r be (-20)\/(-11) - 6\/(-33). Let a(k) = k**r - 4*k**2 - 5*k**2 + 7*k**2. Determine b(a(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32729229 - 12158285. Let m = 87687514 + a. What is m rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1039a2b - 83?\nAnswer: 1039968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143630 by -2.\nAnswer: 71815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*c + 3, -4*y = -6*c + 3*c - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(1300)*-1 + -2 + 2*-2*sqrt(1300) + 4 + ((sqrt(1300) - sqrt(1300)*2)*-3 - sqrt(1300))))**2.\nAnswer: -2100*sqrt(13) + 292549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 927724 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7470 = -2*h + 2*j, -5*h = -j - 18688. Let z = h - 33601\/9. Let u = -1\/125099 + 500403\/875693. What is the common denominator of u and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + (sqrt(204) - 5*(1*sqrt(204) - sqrt(204))) + 5*sqrt(204)*2)\/(3*((sqrt(972)*4 - sqrt(972)) + sqrt(972))).\nAnswer: 13*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-285)\/(-90) + 20\/(-12). Is w at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5 + 15, -2*q - 3*g = -17. Let f(w) = w. Let r(v) = 5*v - 8. Give q*r(p) - 4*f(p).\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n - 21. Let j = 16 - n. Find the third derivative of -j*h**2 + 0*h**2 + 2*h**2 - 9*h**3 - h**3 wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4717129.\nAnswer: 1429, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 271 = -65. Is t greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxxoonnnnnnooonox. What is prob of sequence nnx?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57940 + 0?\nAnswer: -57940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4159 - 104021\/191314. What is the common denominator of h and 89\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 134. Give x(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2\/3, -8 in descending order.\nAnswer: 3, 2\/3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {o: 4, y: 2, t: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/8 - 154875*n\/8 - 8621849\/2 = 0.\nAnswer: -154652, -223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let t(a) = a**2 + 3*a - 7. Let h be t(-5). Suppose 6*u - h*u = 3*x - m, u = -3*x + 11. Put 4, 0, u in descending order.\nAnswer: 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 - 32*n**4 + 1052*n**3 - 3752*n**2 + 4496*n - 1760 = 0.\nAnswer: -22, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 14. Let t = -1186.003 + 1185. Let n = t - h. Round n to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -58. Let k = -8 + 11. Suppose -5*l + 2*q + 74 = 0, l - 58 = -k*l + 2*q. Calculate the remainder when b is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*-2*67\/((-2010)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from {n: 5, v: 2, z: 6, s: 3, d: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytzd when four letters picked without replacement from {t: 1, z: 11, y: 1, d: 2}?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {p: 1, x: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - (-12 - -22)) + (-3 - (-5 - -16))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 22. Let r(x) be the third derivative of x**5\/15 + 13*x**4\/24 + 2*x**2 - 1062*x. What is the tens digit of r(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -188 - -28796?\nAnswer: 2860d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10890 = -8*r - 759*r + 51558 + 27291 for r.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -635 + 635. Solve -76*a + 74*a + 2 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/48)\/(147\/(-28) + 5). Factor 3\/4*j - w*j**3 - 3\/4*j**4 + 3\/4*j**2 + 0.\nAnswer: -3*j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 18 = 16*s - m, 0 = 2*s - 4*m + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24656762 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/1681 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 397721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 m, and 1 t when four letters picked without replacement from {m: 1, r: 2, t: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6910184 hours?\nAnswer: 2487.66624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 35. Suppose 0*s + f + 187 = k*s, -5*f = s - 89. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5506 + 5513 - 11762*z - 11019 + 2611*z.\nAnswer: -9151*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 6 = 0. Suppose -2*s + y - 14 = 0. Let g = 5 - s. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 214. What is the closest to 1 in 1\/10, g, 3\/4, -2\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -542?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6607 - 0?\nAnswer: -6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*r, -2*t - 3 = 8*r - 7*r. What is the tens digit of -1 + t - (-2 - 5)*47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*d**4 + 27*d**4 + 10*d**4)*(51 - 21 - 61 + 176).\nAnswer: -4495*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1301 + -1321. What is the second biggest value in -0.02, x, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-1\/13)\/(q**(-6)*q**(-2\/7)) assuming q is positive.\nAnswer: q**(2295\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -361602670 rounded to the nearest one hundred thousand?\nAnswer: -361600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19 + q**2 + 12*q**2 + 7*q**2 wrt q.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:12 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {o: 2, p: 2, t: 2, q: 1, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17644*o - 5*x = -17646*o - 91, -2*o - 5*x + 99 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a + 6. Let s(f) = -6*f + 5. Suppose -m + 4*x + 7 = 0, m + 3*x + 2*x + 20 = 0. Suppose -3*h = -18 - 0. What is h*s(n) + m*y(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 142 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10101000 (base 2) to base 3\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*a**2)*(2 - 1 - 2)*(4*a - 3*a - 3*a) + (-3*a**2 + 5*a**2 + 2*a**2)*(-3*a + a + 3*a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 46\/(-8) - (-38)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 4*n**2 + 102 + 0*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -5, 5, -0.3, -29 in decreasing order.\nAnswer: 5, 3, -0.3, -5, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnqq when four letters picked without replacement from qnnqnnnqnnnnnnnnnn.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*-4 + 7. Suppose -4*i - x = 11. Which is the closest to -1\/2? (a) i (b) 4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13500.3885366 + 5\nAnswer: -13495.3885366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -1, -31, -97, -211, -385, -631?\n\"Answer: -2*s**3 + 8*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4266461330.9871 from 3.\nAnswer: 4266461333.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*f + 17 + 6 - 23 to the form p + n*f and give n.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 213*h - 2112 = -2824 - 4502 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 6*d**2 - 6*d + 3. Let f be p(5). Put 4, f, -1 in ascending order.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8 = 44. Let c(k) = k**3 + 4*k**2 - 7*k - 7. Let r be c(-5). Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -41, -112, -225, -392, -625, -936?\n\"Answer: -2*w**3 - 3*w**2 - 18*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 27 + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44431, -44256, -44081?\nAnswer: -43906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -3*q**2 - 1\/2*q**4 + 0*q + 8\/3*q**3 - 1. Find b such that c(b) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**16)*z**(-2)*z*z*z)\/((z**(-5\/6)*z)\/z*z\/(z\/(z\/(z*z**0)))) assuming z is positive.\nAnswer: z**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 781.3 + -781. What is the second biggest value in -2, -2\/25, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let a(w) = -798*w**2 + 59. Determine a(h(f)).\nAnswer: -3192*f**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/157560 and -97\/60?\nAnswer: 157560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 141*z + 151*z + 4*z**2 - 454*z + 145*z as p*z**2 + h*z + k and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*q - 5*k, -q + 2*k - 4 = 6. Suppose 3*n - 7 + 1 = q. Is (130\/4)\/(1\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-49 + 54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5 + 0 + 16*f - 3 - 10*f. Let q be a(4). Solve 3*x - 48 + q = 4*n, 5*n = -5*x - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 9*m - 12. Let z(c) be the first derivative of c**m + 4\/3*c**3 - 2*c**2 - 4*c - 13. Find u such that z(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 30*p + 133. Does 3 divide l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91549248 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93054\/5 + -18611. What is the nearest to 2\/3 in 13, 2\/3, r, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5135 or -46226\/9?\nAnswer: -46226\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -370096 or -1850477\/5?\nAnswer: -1850477\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4938 and 1398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -2 (c) -3 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*p**5 - 16\/3*p**2 + 1\/3*p**3 + 0 + 4\/3*p**4 + 7\/2*p = 0. What is p?\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 215, -2349 in ascending order.\nAnswer: -2349, 2, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*p + 159*p + v + 29, -5*p = -2*v - 28 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10 = -3*p, -10 = -x + 3*p - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6311646 divided by 2103882\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*k - 19 = 0, 0 = -44*d + 42*d - 4*k - 60 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 45*j + 256. Calculate y(16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcqxc. Give prob of picking 2 c and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {l: 2, d: 4, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/35 (b) 5 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1871940*d**3*l + 23*d**3 + 1828225*d**2 - d*l wrt d.\nAnswer: -11231640*l + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7654\/11517 - -8\/3839. Let s(v) be the third derivative of 0 + 0*v**3 + 27*v**2 + k*v**4 + 17\/60*v**5 + 0*v. Find the second derivative of s(j) wrt j.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 83.7. Let z = t - 6.3. Put -3, 0.3, z in descending order.\nAnswer: 0.3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 15. Let r(o) = o**2 - 4*o - 19. Give r(j(z)).\nAnswer: z**2 - 26*z + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -526*l**3 - 23*l**2 + 4*l + 8. Let d(p) = -527*p**3 - 23*p**2 + 6*p + 9. Let t(i) = -2*d(i) + 3*x(i). What is the third derivative of t(y) wrt y?\nAnswer: -3144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a century in months?\nAnswer: 28400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 3*r - 2*r)*(-36*r - 114 + 114) in the form i + o*r**2 + c*r and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1947 and 12.\nAnswer: -2.3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -334928*n**2 - 484*n - 968. Let q(g) = -3453*g**2 - 5*g - 10. Let o(f) = 5*h(f) - 484*q(f). Let m(k) = 2*k**2. Determine m(o(j)).\nAnswer: 22957088*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 91516 + 4*z - 91518 - 274*z**2.\nAnswer: -274*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - b + 224. Sort -1\/10, 0.3, 0.1, b.\nAnswer: b, -1\/10, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i + 105. What are the prime factors of (-1)\/(-1*2\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 37 = 3*b - 35, 2*b + 18 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/7 + 24*a**3\/7 - 9*a**2 + 54*a\/7.\nAnswer: -3*a*(a - 3)**2*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.39 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -0.89. Let o = -2 - -1. Let g = o - v. Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 3*f**2 + f - 6*f**2 in the form s*f + b*f**2 + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.1, 2\/3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(832) + 4 + 3.\nAnswer: 8 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5426 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4117 times -0.4?\nAnswer: -20.16468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/33597 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44941 and 1495.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Let j = 2 - t. Let p be (75\/(-84))\/1 + 19\/133. Which is the third biggest value? (a) j (b) p (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1358 + 0.4358. Sort 0.05, -5, p, 0.5 in descending order.\nAnswer: 0.5, p, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuoffuouuuu. Give prob of picking 1 o and 2 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j**3 - 9*j**3 - j**3)*(0 - 6 + 5)*(-6 + 8*j + 6) to the form p*j**2 + c*j**3 + u*j**4 + y*j + s and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25\/24 (b) 6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egrzs. What is prob of sequence esg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -153 in increasing order.\nAnswer: -153, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y + 3*y)*(1 - y - 1 + (-1 + 0 + 4)*(5*y - 2*y - 2*y)).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u - 17. Let m be 10\/u*(-6)\/(-15). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfof when four letters picked without replacement from {r: 3, o: 2, h: 1, u: 5, f: 8}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 < 1948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 148677 times -21\nAnswer: -3122217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/6)\/((-4)\/6). Let l(d) = -7*d**2 - 183*d - 487. Let h be l(-23). Sort f, h, 4.\nAnswer: f, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3232, 12342, 27528, 48790, 76128?\nAnswer: 109542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 4, d: 11}. What is prob of sequence am?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {b: 9, w: 4, u: 6}?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c + 362. List the prime factors of f(-19).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 24\/(-9))\/((-8)\/(-3)). Let b = -0.07 - -0.57. Sort i, b, 2 in descending order.\nAnswer: 2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**2 - 73*f + 6. What is the thousands digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723456883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 13629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 75*k + 0*k**3 + 0*k**2 + 0 + 1\/3*k**4. Let z(w) = w**2. Give z(v(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45798 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (-100 - 33 - -181)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 - 71*q + 11. Let d(h) = -9*h**2 - 36*h + 6. Let s(k) = -11*d(k) + 6*u(k). Factor s(r).\nAnswer: -3*r*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -46*b - 2160. Let y(o) = -6*o - 280. Let u(a) = 7*x(a) - 54*y(a). Let h(p) = 14*p + 61*p - 2*p. Give h(u(f)).\nAnswer: 146*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q = 5*u, 4*q - 21 = -3*u. Calculate the least common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1452, -2895, -4332, -5763, -7188?\n\"Answer: 3*y**2 - 1452*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + 25653205?\nAnswer: 25653124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/32741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 23. Let g be (0 + d\/(-10))*-15. Let f(o) = -o**2 + 10*o - 5. Let v be f(9). Solve g = -7*i + v*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29684 and 68060?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2268 greater than or equal to 45\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 3, -2.27?\nAnswer: -2.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113\/(-791))\/(101\/32522).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*a + 48*a - 118*a - 90 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 78*p - 6. Suppose b + 5*b - 12 = 0. Does 30 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.974ml in litres?\nAnswer: 0.874974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v. Suppose -2*c + c - 104 = v. Let x = c - -107. Solve 0 = -3*y + d - x - 2, -3*d = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717 = 15*b - 1837. What is the remainder when 2587 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 16 = -2*j + 3*s, 72 = -5*j + 21*s for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22461226 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**2 - b + 5. Differentiate d(a) with respect to a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110000 - 1?\nAnswer: -11010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 943199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -0.3\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 18. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 11, -0.3, -829, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114441\/14 - 8167. Calculate the common denominator of g and -93\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 6)*(-7*c + 477 - 974 - 5*c - 2*c) to o + s*c and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173231 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5945 - -5948. Let t = -0.08 - 3.92. Sort t, p, 5, 0.5 in ascending order.\nAnswer: t, 0.5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2207d9b6 - 3?\nAnswer: -2207d9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/4*(13 + -17))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695)*1 + sqrt(55))\/sqrt(5)*-5.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61020949?\nAnswer: 11, 5547359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1*110\/(-10). Let c(z) = -2*z**3 - 10*z**2 + 17*z - 12. Let r(l) = l**3 + 11*l**2 - 17*l + 12. Let k(s) = 2*c(s) + 3*r(s). Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304020450 (base 6) in base 4?\nAnswer: -103330123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 - 178.999999533. What is w rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 15442 = -17*k. Suppose a - 1103 = 2*b, 5*a - k = 3*a + b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 - -311. Calculate the greatest common divisor of 168 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 less than 22420\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27 = 5*k, 2*k + 4*w = k + 13. Suppose i - 2 = -a - 0*a, -2*i - 11 = k*a. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001011 (base 2) to base 8\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*w - 312*w = 0. What is the closest to 0.25 in 3\/7, -2\/3, w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 102*d + 440*d**3 + 11*d**2 - 846*d**3 + 424*d**3 = 0. What is d?\nAnswer: -17, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1259, 1895, 2529, 3155?\nAnswer: 3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010345 to six dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/11132 and 1\/253?\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.06 (b) 0 (c) 4 (d) -721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.34 and -225.75?\nAnswer: 226.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-10)*y\/((y\/(y*y**(-1\/9))*y*y)\/y)*(y*y\/((y**(-3)\/y)\/y)*y)\/y*(y\/(((y\/y**(-11))\/y*y)\/y))\/y assuming y is positive.\nAnswer: y**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*r = 5, r - 2 = a - 1. Let m = -5 + a. Let t(y) = -y**2 - 6*y + 3. Let i be t(-7). Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8 - 2 + 55*q**2 + 8*q - 54*q**2. Suppose -3*n + 0*n = 18. Calculate c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) 1529 (d) 0.2 (e) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81606 is divided by 742?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133044353*z**4 - 167885189*z**2 - 2*z?\nAnswer: -3193064472*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - -40*(-8)\/100. Put -2, 3, m, 9 in ascending order.\nAnswer: -2, m, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fdd (base 16) to base 4.\nAnswer: -333131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698226735.\nAnswer: 3, 5, 46548449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n. Suppose t = -2*t + 6. Let q(h) = -t + 2 - h + 0. Give q(p(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(6\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**2\/2 - 9*a - 88. Give y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - sqrt(228)*-4*5)\/(sqrt(768) - (sqrt(768) - -4*sqrt(768))).\nAnswer: -21*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4856483 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 3*z**2 + 3*z**2 + (-4*z - z + 2*z)*(z**2 + 0*z**2 + z**2) - 57*z**3 - 22*z**3 - 46*z**3 + 7*z**3.\nAnswer: -127*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204, 794, 1776, 3150?\n\"Answer: 196*a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m - 1 + 1 + 98*m - 10*m**2 - 5.\nAnswer: -10*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 - (-6 + (-360)\/(-64))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12507 is divided by 1134?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g - 16. Let b be v(-7). Let t = b + -17. Solve -t*m + 2 = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.997 - -35. Let l = 0.103 - n. Is l at least 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29489, 59049, 88609?\nAnswer: 118169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -14 - 19) + (0 + -1 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwvwvwwvw. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + a**2 + 2*a**2)*(0 - 2*a + 0) - 6*a**3 - 47*a**3 + 20*a**3 + (2*a - 3*a + 2*a)*(2*a**2 + a**2 - a**2).\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-7) + -1 - 9646500\/11532199. Let k = b - 1\/3989. Find the common denominator of k and 7\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-330)\/(-18) - (2 - 16\/6). Suppose -13 = -8*d + h. Solve 0 = -9*n + d*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-500)\/(-1125))\/((4\/30)\/((-1)\/(-20))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-37)*t**16*(t\/((t**(-15)*t)\/t))**(-41))**(2\/51) assuming t is positive.\nAnswer: t**(-1352\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j + 6. Let f be v(4). Suppose -f*c - l + 12 = -5*l, 0 = 5*c + 5*l + 15. Which is smaller: c or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 14*j - 6. Let f(c) = -5*c + 2. Determine -17*f(y) - 6*v(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.00239 to 2 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 2*d**3 + 2*d**3 + (-4 - 1 + 4)*(-d**3 + d**3 - d**3) + 0*d**3 + d**3 + d**3 + (4 - 4 + 2*d**3)*(-3 - 1 + 5).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8417503 millennia in years?\nAnswer: 841.7503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g - 21 + 0*g - g**2 + 0*g**2. Suppose 3*q - 3*y = -0*q - 39, -q - y - 3 = 0. Let l be n(q). Solve -f - 1 = l*d, 4*f + f + 3*d - 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/45 - (-32)\/63. Let h be (7 + (-132)\/(-20))\/(13\/(1365\/(-14))). Which is the third smallest value? (a) h (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 58*a**2 - 19*a - 67. Determine v(-3).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10738, 11234, 12572, 15172, 19454, 25838?\nAnswer: 34744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 8 = -10*x. Suppose -4*z + x*p + 512 = 0, 2*z - 140 = 5*p + 116. Let k = z - 30. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + 4*k**3 + (7*k - k + 10*k)*(-4 + 4 + 2*k**2) + (-k**3 + 3*k**2 - 3*k**2)*(-6 + 3 - 1).\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 + 0*l**3 + 0*l**3 + (29*l - 1752 + l**2 + 3504 - 1755)*(-l**2 + l**2 - l**3).\nAnswer: 3*l**5 - 29*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a - 5*a**2 - 5\/4*a**3 + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 1661 = 5*f + 808 + 548, 15*f = -3*m + 879 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 312253515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179615770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3, 0.5, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -y + 105. Solve u - 4*g - g - 15 = y, 5*u + 2*g = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221480030.\nAnswer: 2, 5, 257, 86179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 80\/21*a + 24\/7 + 2\/21*a**3 + 26\/21*a**2 = 0. Calculate a.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:53 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19806?\nAnswer: 2, 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 + 23*r**2 - 4*r**2 - 5*r**2 - 5*r**2. Let h(o) = -2 - 3 + 5 - 49*o. Calculate h(q(t)).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399458 less than 433276?\nAnswer: 33818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32798081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383.01972 + -383. What is v rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {g: 3, k: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10419261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 3*a - 3. Let h be u(3). Is h less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6*(-12)\/(-36))\/((-42)\/(-8)). Let u = -59 + 91. Let h = u + -33. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**3 + 3*r**3 + 3*r**3 + (r + 0*r - 2*r)*(-4*r + 3*r**2 + 4*r) - 3*r**2 - 3*r**3 + 3*r**2 + (-3*r**2 + 2*r**2 - r**2)*(2 + 2*r - 2).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*t, -t + 1 = -2*t. Let f be p\/6 + 10\/(-60). Let h(j) = -j**3 + 35*j**2 + 34*j + 73. Let z be h(36). Sort 2, -4, f, z in descending order.\nAnswer: 2, z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 718, 971, 1512, 2437, 3842, 5823, 8476, 11897?\n\"Answer: 16*w**3 + 48*w**2 - 3*w + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 14.9?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2577092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -5*u + 2*u, 5*u = -10. Let g(z) be the first derivative of -2\/3*z**p + 2 + z**2 + 0*z. Factor g(v).\nAnswer: -2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from thhhtcaactcthc.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322181\/1318163 - -118\/3553. Let p = n - -8\/53. What is the second smallest value in -1, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*q**3 + 195*q**3 - 55*q**3.\nAnswer: 478*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(1 + 0 - 2)*(-o + 1 - 1).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 17*b - 13*b. What is the highest common factor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and -41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/3 (b) 3\/5 (c) 12 (d) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2466 + 70?\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-218 - (5 - 4))*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2517*s**3 - 1260*s**3 - 1259*s**3 + 2 as u + v*s + w*s**3 + i*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. What is the second derivative of 3*a**i + 5*a - 3*a**3 - 5*a**3 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 - 4*t**2 + 21*t**3 + t**2 - 2*t + 2*t**2 as m*t**2 + o*t**3 + a + l*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) 3 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199260 is divided by 70?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-16))\/((-20)\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 2*k - 3. Determine l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -312, -705, -1256, -1965, -2832, -3857?\nAnswer: -5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 276. 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 prob of picking 1 n, 2 i, and 1 s when four letters picked without replacement from kkzizszkkiwnkn?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 5420078 divided by -92?\nAnswer: -2710039\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1) + (-12 - -8) + 4. Let m be y*4 + (-6)\/18*-1041. Suppose -4*v - 5*o = -286, 0*o = -5*v - 3*o + m. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 2. Let b be k(-3). Let a = 105 + -179. Let z = a + 77. Solve -z*n - 2*n = -b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 38*c**3 - 35*c**3 - 27.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + 6*m + 5. What is the tens digit of w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 16\/3*y**3 + 2\/3*y**4 + 10 + 1\/60*y**6 + 0*y - 7\/30*y**5 + 3*y**2. Factor a(r).\nAnswer: 2*(r - 4)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3000 = 906*s - 1031*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 16*p**2 + 31*p + 20. Determine m(-13).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1232, 5 in ascending order.\nAnswer: -2, 4, 5, 1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwttwwwtwtwttwwvtw. Give prob of picking 1 v and 1 w.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 - 30*s**2 + 17*s - 21. Let q be w(7). What is the biggest value in q, 6\/5, -4, -2\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 32 = -3*x, -x + 6*x - 10 = -2*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8551 = 1849. What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 209490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43950971 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 157\/((-1324923)\/388)*(-72)\/(-32)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 803*i**4 - 2*i**3 - i**2 - 1819.\nAnswer: 19272*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5377150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-45) + 10\/45. Let n be 5 + -5 + (-2)\/6. What is the closest to 1 in n, -1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 18*s + 122205. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1655 + 1658. Let c(x) = 53*x - x**2 + 6 - 17*x - 18*x - 16*x. Calculate c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 5*o. Let z(g) = 3*g**2 + 21*g. What is 21*r(w) - 5*z(w)?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 834841 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 7*s + 18. Let w be h(-2). Is 19 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - (0 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 6*c)*(-3*c + 5*c - c) + (1 + 2*c - 1)*(1 - 1 - c) + 7*c**2 - 2*c**2 - c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 25. Let f(z) = -z**3 + 9*z**2 - z + 11. Let x be f(m). Suppose 2*l - c = -l + 202, -l + x*c = -74. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-1 + (4 - -33 - -3)). Let y = f + 50. Sort -4, 2, y, 0 in ascending order.\nAnswer: -4, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 4057936.\nAnswer: -5\/2028968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 323984 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/10 + (-356868)\/8620?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -13772*a + 13752*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (102021\/15 - -1). Let r = u - -6725. Let w = r - -79. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20360 = -4*i - 8*j, 11715 = 3*i + j - 3580. Is 170 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8363627 rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 2 - (6 + 13 + -48)) + -82\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:39 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 5640*d**3 + 5636*d**2 = 0.\nAnswer: -1409, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001100012 - 1?\nAnswer: -122001100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764086965750*l - 2*l**2 - 764086965750*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 4*h + 2 = 0, -4*b + 14 = 2*h. What is the third derivative of -k**2 - k - b*k**3 - 2*k + 3*k wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15532 = 4*y, 5*z - 3*y = -y + 19400. Let r = -2037 + z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 51*h**2 - 969*h + 21. What is the thousands digit of d(45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10772918, 10772927, 10772948, 10772987, 10773050, 10773143, 10773272, 10773443?\nAnswer: 10773662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 8 + 8. Let k be y(3). Let c = k + -2. Solve -4*q + r = 4*r - c, 0 = -4*q + 4*r + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 3, q: 4, p: 9, m: 1}. Give prob of sequence pq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115547134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(120\/18))\/((-3)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0842115332 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*j**4 + 2823*f**2*j**2 - 3*f*j**2 - 2*f*j - 84515*j**5 + 2*j wrt j.\nAnswer: 48*f**2*j - 5070900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*n = -25*n + 130 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4\/5 + 376584*c**3 - 45191808*c**2\/5 + 271154304*c\/5 = 0. What is c?\nAnswer: -470754, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/69840)\/(1\/45)*1\/3.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 5*o. Suppose 4*d + 8 = 0, 5*f - o = d - 2*d. Let b be (1\/f)\/(6\/192). Calculate the highest common factor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 2072. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/(10\/25). Suppose d + 3*v + v + 57 = 0, 4*v - 114 = m*d. Let h = d - -89. What is the remainder when h is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96523 divided by -383.\nAnswer: -96523\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 484 = 83. Let b = 93 + z. Suppose 50*j = 46*j + b. Solve 5*w + j = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 6. Let i(x) = 0*x**2 + 5 + 3*x**2 - 4*x**2 - 30*x + 30*x. Calculate 6*i(m) + 5*p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -74 - (-2904 - -2939)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 + 12. Let k be b(3). Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*k - 41 + 8, 30 = 5*r - 5*k. Let o = r + -10. Let l = 8 + o. Solve -5*b - 2*f = f + 22, l*f = 5*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 2262792*t**3 - 54696*t + 53 wrt t.\nAnswer: 12*t**2 - 13576752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1670510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4700 - -4911 - (126 + -2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38618718 a multiple of 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*u + 92, -3*u + 46 = -324*i + 322*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 2 + sqrt(242) + -2)*-1.\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 20*b**2 - 22*b + 34. Let p be a(-21). What is the greatest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/17))\/h)\/h)\/h*h*h**(1\/21)*(h*h**(-5))\/h**(-2\/7) assuming h is positive.\nAnswer: h**(-244\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.179 * -0.1\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3399\/(-721) - (-5)\/1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -32. Suppose m = -2*c - m + 30, 18 = c + 2*m. Let a be (-2)\/b*30\/c. Which is greater: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40077 divided by 549\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 3*c**2 + 7*c + 4. Let n be v(-6). Suppose 2*i - n = -3*i. Solve q - x = x - i, 3*q - 2*x + 22 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 55*p + 8. Calculate s(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(2\/3)\/(r*r**5)**50 assuming r is positive.\nAnswer: r**(-9904\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 164*n**3 + 1600*n**2.\nAnswer: 2*n**2*(n - 400)*(n - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4942 + 3162. What are the prime factors of y?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 134*o - 31 = -70*o - 69*o, -2*o - 47 = 5*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2244, -4672, -7096, -9516, -11932, -14344?\nAnswer: -16752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/7? (a) 0.1 (b) 0.03 (c) -11 (d) 2 (e) -2\/177\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8 - 2*v + 0*v - 3*v**2 - v. Let g(m) = -5*m**2 - 5*m - 12. Let k(h) = -5*g(h) + 8*r(h). Let n = -4 - -7. Calculate k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t**(-2\/15))\/t)*t)*t**4)**(-7)\/((t\/t**(2\/5))**(-26\/3)\/(t**(-1\/6)\/(t\/(t\/(t*(t**(1\/8)\/t*t)\/t))))) assuming t is positive.\nAnswer: t**(-1819\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/5 (b) -1 (c) -1.44 (d) 55 (e) 0.2 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 513.1588 weeks?\nAnswer: 5172640.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -46375100 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4925335951?\nAnswer: 53, 83, 1119649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.21 (b) 4 (c) 2\/5 (d) -3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19276075 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - 4*t - 5. Let l(y) = y**3 - 6*y**2 + 8*y - 5. Let u be l(7). Calculate the remainder when ((-54)\/(-36))\/(3\/u) is divided by v(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/60)\/((2162\/(-1380))\/(-47)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 2, j: 1, f: 1}. What is prob of sequence tl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 8*k + 6. Let s(t) = -t**3 - 6*t**2 - 20*t - 39. Let a be s(-3). Calculate u(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-35))\/((-10)\/1925). What is the highest common divisor of o and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*o + 41. Suppose -m + 4*a = -2, -4*m + a + 6 = -o. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + j)*(47 - 5*j**2 + 4*j**2 - 46).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + 0.1. Let q = 0.4 - i. Let y = 0.2 - 0.7. Which is the biggest value? (a) y (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 48 + 10*a + 5*a**4 - 48*a**2 - 24*a**3 - 5*a - 81*a**3 - a + 96*a**3 = 0.\nAnswer: -2, -6\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111594 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006.97295 rounded to one dp?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*l**2*m**2 - b**3*m**3 + 50*b**2*l**2 + 2*b*l**2*x - b*m**2 - 762*l**2*m**3 + 2*m**3*x wrt m?\nAnswer: -6*b**3 - 4572*l**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**4 - 8*n**4 + 13*n**4 + (0*n**3 - 2*n**3 + 0*n - n)*(86*n - 74 + 74).\nAnswer: -175*n**4 - 86*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.41 - -1.51. Let y = 12 + b. Let t = -97 - -101. What is the nearest to 1 in y, -0.2, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79229\/3 - 158413\/6. Factor -3\/2*i**2 + h*i - 6.\nAnswer: -3*(i - 4)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 1. Suppose -13*g + 2 = -11. Let x(w) = g + 4*w**3 - 3*w**3 - 3 - 2*w. What is -x(n) - 2*y(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 209147, -2 in descending order.\nAnswer: 209147, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482 + 787. Let b = 304 - i. Sort -14, b, 5, 2 in ascending order.\nAnswer: -14, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 9 - 1)*(-19*d + 19*d - 11*d**2) - 79 + 8*d**2 + 79.\nAnswer: 690*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 4*b - 26*b**3 + 13*b + 223*b**2.\nAnswer: -26*b**3 + 223*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:10 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:54 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 12*y**3 - 115*y**2.\nAnswer: 12*y**3 - 115*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Let a(s) = -89*s + 8. Let i be a(-4). Suppose -14*b = -b - i. Calculate the greatest common divisor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176702 by 1.\nAnswer: -176702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/6 + 5*t**2 + 3*t. Let r be g(-5). Suppose j - r - 18 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -18 + (3 - 4). Let j = 20 + n. Solve 5*k + 25 = -j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -359. What is the greatest common divisor of g and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 = -38*u + 65 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from vwxvx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - m = -3*m + 26, -3*m = 3*g - 27. Suppose -2*f = 4, 3*f = 5*t + g + 10. Let c = 15 + t. What is the greatest common factor of c and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-20)*(-10 - (-1 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 8*c + 11. Let x be u(2). Solve x*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*o = 10 - 1, 0 = 2*l - o - 17. Solve -l = -2*x - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:27 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*28\/(-72)*3. Let u(i) be the second derivative of -2\/285*i**6 + 0*i**5 + 0*i**2 + 0 + 1\/57*i**3 + 1\/57*i**4 - 6*i - 1\/399*i**w. Factor u(q).\nAnswer: -2*q*(q - 1)*(q + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.98 - -0.02. Let s be ((-1005)\/(-45) + -9)*(282\/(-72) - -4). Which is the third smallest value? (a) w (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 1157\/11. Let g = 0 + i. Let w = 19 - 19. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.58 and 61.7935563513.\nAnswer: 61.2135563513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*j + 54. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 553.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742328 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/5 - 114*a**4 + 11214*a**3\/5 + 53616*a**2\/5 - 337809*a\/5 + 273546\/5 = 0?\nAnswer: -7, 1, 3, 26, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 2. Let x be 6\/((-55)\/y + -1). Suppose x*o + 5\/4*o**3 + 3*o**2 + 1\/2 = 0. What is o?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + (0 - (0 + -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112505, -450034, -1012593, -1800194, -2812849, -4050570, -5513369, -7201258?\nAnswer: -9114249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + 2*(sqrt(192) + sqrt(192) + -1) + -3 + 3)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/184 and 47\/5980.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhtthhtshh. Give prob of picking 1 p and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -1 + 5. Suppose 0 = -g*k + 5 + 3. Calculate the remainder when (1\/1 - k)*-1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 8*w = 0. Solve w = 3*m + m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -779, -788, -803, -824, -851, -884?\n\"Answer: -3*g**2 - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -94, -173, -2 in decreasing order.\nAnswer: -2, -5, -94, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116748 is divided by 38872.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 21*w + 1902. List the prime factors of w.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 53*u**3 + u**2 - u - 3. Let j be k(-2). Let b = -64 + -231. Let v = b - j. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 5*j + 4 + 9, h = 2*j + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/231 and 17\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 13*a + 2. What is the lowest common multiple of 18 and d(11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/20 - b**4\/8 + b**3 + b**2 - 53. Factor p(s).\nAnswer: -3*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 36. Let r(j) = j**2 - j + 10. Let p be r(6). Suppose -5*u + 195 = 5*w, p = u - 3*w - 11. What is the remainder when u is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28742637 - 4?\nAnswer: -28742641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 420403 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/16*(0 + -4). Suppose -4*x + g = 5*q, q - 13 = 2*x - 7*x. Solve 4*v - 20 = w + 3*w, q*w = -9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -255 + 234 - 1*-27. Put -14, m, -8 in decreasing order.\nAnswer: m, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - -42. Let s = -262 + h. Sort -28, -1, s in increasing order.\nAnswer: -28, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300)*5 + 4*-2*sqrt(300) + sqrt(27) + 1 + sqrt(3) + -2 + sqrt(21)\/sqrt(7))**2.\nAnswer: 250*sqrt(3) + 46876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11.7 (b) -0.5 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/5 - (-1519)\/(-224). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -574, -615, -660, -709, -762, -819?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2113 + -1274. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, -1210, -1815, -2420, -3025, -3630?\nAnswer: -4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j - 10. Let n(g) = g - 2. Let u(s) = 6*a(s) - 33*n(s). What is the derivative of u(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108719178 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*g**2*r**3 - 42*g**2*r + 1644*g*r**3 - 1021*g*r**2 wrt r.\nAnswer: 186*g**2 + 9864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j - 1. Let k be b(4). What is the third smallest value in 1\/2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 3*f = -21*a - 15, 25 = -4*a - 5*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -1 + 13, 0 = -5*j - 5*k + 15. Suppose j = -3*x - x + 2*n + 3004, 0 = 5*n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**2 + 7*s. Let l(y) = -25*y**2 + 10*y. Let j(r) = 9*r + 131. Let v be j(-14). Give v*l(x) - 7*f(x).\nAnswer: -6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5 - (-14 + 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13220352 and 11476.\nAnswer: 13220352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/2, -16, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 50. Let k be (-2)\/(-6) - (-50)\/p. Suppose 4*v + 0*v = 0. Solve v*j + j = -k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 445278 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 7*w - 4*w**2 + 5*w**2 + (3*w + 3*w - 4*w)*(-4*w + 0*w + 7*w) + 31*w**2 + 77*w**2 - 70*w**2 in the form d + a*w**2 + i*w and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 12*v**2 + 7. Let q be s(12). Solve -1 = 2*m - 2*y - 3, -y = m + q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2832 in 0.08, 0.3, 1, 0.2, 1\/6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093062?\nAnswer: 2, 3, 182177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 337*t - 26917. Give w(-130).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**1)\/(y\/y**6))\/(y*y**(-1)*y)**24)**(-6) assuming y is positive.\nAnswer: y**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8997757 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6 - 5*p**2 + 2*p**2 - 3*p**2 + 6*p. Let v be h(5). Suppose 2*m - v + 3 = 0. Sort 1, -4, m in increasing order.\nAnswer: -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 17}. What is prob of sequence irr?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138470.1 centuries to decades.\nAnswer: 1384701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 15736 + 4460 = -3478. Is f a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 14*t**2 - 8*t - 18. Let c be j(-14). Suppose -c = -0*h - 2*h. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12570 - 226345\/18. What is the common denominator of 65\/14 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + t + 19523, -5*z + 4*t = -10728 - 13673. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15 + 13 - -1*3. Suppose 2*l - 7 = -j. Let q(z) = z**3 - 2*z + 2. Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*c + 2*y = -1566*c, 2*y = 2*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 - 10*j - 14. Let z be w(-6). What is z rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) - 537\/(-3). Let i = 10 + -5. Suppose 4*y = -i*j + 449, -3*y = j + j - f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feaaeaekkwk. Give prob of picking 1 k, 2 a, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((-822)\/(-9042))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w + 47. Let y be l(5). Solve -15\/7*s**y - 24\/7*s - 12\/7 - 3\/7*s**3 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279915551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Suppose 5*t - 24 + i = 0. Solve t*w + 5 = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153090 divided by 2?\nAnswer: -76545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 12*g - 22795*g**2 - 6*g.\nAnswer: -22795*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-3 + 1) - 3. Let c be -3*(-1 + 0) + 62. Suppose 110 = 5*m + 2*n, 4*m - 2*n - n - c = 0. Calculate the greatest common factor of m and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*o = 2660, -14*k + 13*k = -5*o - 505. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -79*a**2 + 2*a + 4. Let m(n) = -761*n**2 + 18*n + 37. Let x(f) = -19*g(f) + 2*m(f). Let c(p) = -p**3 + 42*p**2 + 5*p + 5. Give -2*c(s) - 5*x(s).\nAnswer: 2*s**3 + 21*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348965101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 2*m**2 - m + 6. Let v be u(-3). Suppose v*s = -5*q + 3*s + 22, -q - 6 = 2*s. Calculate the remainder when 5 is divided by q\/(-8)*(-17 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 8. Suppose -5*c - w = -c - 13, -5*c + 12 = -3*w. Let y be u(c). Let b(q) = -q**2 + 1. What is b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*a - 16 = 3*a, -5*a = 10. Put c, -2, -4 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536705 divided by 115.\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/275 + -4669\/825. Find the common denominator of x and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*v + 2*v**2 + 19*v + (-4*v + 3*v - 8*v)*(2*v + v - 4*v).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 87*j + 780. What is z(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84440246 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)\/p*p**(-2\/3) assuming p is positive.\nAnswer: p**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/23 and 52\/56 + 6\/(-14) + 230\/(-80).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/531 and 157\/1549812.\nAnswer: 4649436","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 9359\/4 (c) -2 (d) -2\/7 (e) 5 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from oesttsoettst?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101 - 101010110010110001?\nAnswer: -101010110110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:58 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325)\/25 - (6 + -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*6\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -37. Suppose -6*h + 4*h + 26 = 0. Let l = h + r. What is the third smallest value in l, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/5, -1, -4, -0.04957, 30, 109, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1020*o**2 - 6*o - 1. Let i(s) = s**2 - 6*s - 1. Give 3*i(x) - 3*k(x).\nAnswer: 3063*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -72, -79, -86, -93, -100?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(405) + (sqrt(405) - (sqrt(405)*2*-5 + sqrt(405))) + 5 + sqrt(405) + 0 - -5*(sqrt(405) - 1*sqrt(405)*-1 - sqrt(405))))**2.\nAnswer: 918*sqrt(5) + 117054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04048677 to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 - 48*q**3 - 14157*q**2\/5 + 29282*q\/5.\nAnswer: -q*(q - 2)*(q + 121)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5755)\/(-4604) + (0 - -1)*226\/(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 17. Suppose 6*u + 24 = 3*u. Calculate the common denominator of p(u) and 2\/3 - (-482)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:04 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 7*p - 2*p + 4, -9 = -3*o. Suppose -5*k + 8 = 3*v, 8 = -4*k + 3*k - 3*v. Let m = p + k. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57\/10 - 28\/5. Suppose 2*r = -0*r - 8*w - 40, 5*w = -20. Which is the closest to r? (a) 1\/4 (b) -1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose -k*r - 581 = -5*u + 617, 2*u + r - 481 = 0. Suppose -7*f - u = -3*f. What is f rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 3 + 8 + 4*t**2 - t**3 - t**3. Suppose 5*s - 2 - 34 = -4*k, 4*s + 5*k - 36 = 0. Is 4 a factor of y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 479952 and 45.\nAnswer: 2399760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11380301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 86, -3, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:01 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.663207 litres?\nAnswer: 3663.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 987\/1352 + -60\/169. Let n be -2 - ((-6)\/4 - 2). What is the third biggest value in n, 8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 118 = -25*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:46 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4430, 4429, 4428, 4427?\n\"Answer: -p + 4431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 3*b + 4. Let t(z) = -z + 1. Let y(s) = -s**3 + 9*s**2 + 11*s - 11. Let f be y(10). What is f*o(v) + 5*t(v)?\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5169*y + 3860108. Calculate s(-662).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - p**2 + 6 + 3*p**2 to the form n*p**2 + l + j*p and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032672 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271.172 rounded to the nearest ten?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from iaia?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463813 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 1275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/338 + -30257\/676. Let x = z + 45. What is the smallest value in x, -4\/7, -1\/10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Let a(q) be the third derivative of -57*q**5\/20 + 53*q**2 - 2*q. What is n(a(j))?\nAnswer: 29241*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*b = -156, -2*b = -2*q + 17 + 59. Calculate the highest common divisor of 1241 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.046 - 0.054. Sort 0.4, -0.5, d, 7 in descending order.\nAnswer: 7, 0.4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 885 and 66021.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/7 (b) 2 (c) 7569 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168742\/65 + -2596. Is -1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 - 5*j**4\/24 + j**3\/6 - j**2. Let g be r(-5). Suppose 2*w - 5 = 7*w. What is the closest to w in -0.1, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29495, 58963, 88429, 117893?\n\"Answer: -c**2 + 29471*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10153 * 0.0272.\nAnswer: 276.1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -31, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41764 to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3965 is divided by 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82453.\nAnswer: 7, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 + 0 - 4 - 36*g. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 5 + 38 - 2*o**2 + 114 to the form v*o + n + b*o**2 and give n.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 34541.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, -1, -86 in increasing order.\nAnswer: -86, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 31 - 7\/3*y**3 - 4*y + 5\/3*y**4 + 0*y**2. Let k(u) be the first derivative of c(u). Find the second derivative of k(o) wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -1, 254, -2\/3?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 96, 105?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2084)\/7294*(-7)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 + 4*r**3 - 25*r**2 - r**4 + 21*r**2 + 5*r**4 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8932?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146612231 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049573, -8397344, -28341289, -67179494, -131210045, -226731028?\nAnswer: -360040529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-3)*c**(-6\/5)*(c*c*(c\/((c\/c**(-1\/2))\/c))\/c)**(11\/5) assuming c is positive.\nAnswer: c**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 3*s - 2. Let u(m) = m - 1. Let j(b) = h(b) - 4*u(b). Let z(a) = a - 2. Let i be z(2). Let r be j(i). Solve f + 1 = r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 4497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84.97, 2\/19, 2\/3, -0.5, -3\/5 in descending order.\nAnswer: 84.97, 2\/3, 2\/19, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 216, 322, 428, 534, 640?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 + 3*b + 3. Let g(o) = 7*o**2 - 2*o - 4. Let w(z) = 3*g(z) + 2*n(z). Let u(f) be the first derivative of 3*f**2\/2 + 47. Give u(w(l)).\nAnswer: 15*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1029\/3)\/(2 - -9) + (-6)\/(-33)*-1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 623566?\nAnswer: -3\/623566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897531651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*(v*(v*v**(-2))\/v*v)\/v))**(4\/25)*(v\/v**(-4\/3))**(-14\/5))**7 assuming v is positive.\nAnswer: v**(-3514\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 560*f - 7831. Determine q(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -4 - -1*17142. Let y be u*(6\/4*-2)\/(-3). Let v = -445589\/26 + y. What is the common denominator of 3\/11 and v?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b692 (base 16) to base 9\nAnswer: 300816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 7\/4, -5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssppppsspppsppsppps.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 - 7 = -4*r, v + r = -3. Let h = -7 - v. What are the prime factors of (17\/(-2) + h)*-18?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 2*m**3 + m**2)*(-m + 1 - 1)*(4 + 3958*m - 3970*m - 2).\nAnswer: -24*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -3397.\nAnswer: -18\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-54))\/((-1)\/27)*(-56)\/14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/27 + (-796)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312 + -308. Let u = -11 - -6. Let y = u + 5. Solve m - 4*b = 19, y = h*m + m - 2*b - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49769*y**3 + 24885*y**3 + 24884*y**3 + 2599*y**4)*(-1 + 0 + 3).\nAnswer: 5198*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 - 2*q + 9. Suppose -528 = -92*g - 41 - 27. Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -25*i. Let l(j) = 4*j + 11. Let m(r) = 2*r + 6. Let y(k) = -6*l(k) + 11*m(k). Give q(y(d)).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*l**2 + 751*l**2 - 381*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-13)\/p)*p**(1\/10)*p*p*p**(-5)*p**(-13) assuming p is positive.\nAnswer: p**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*b - 27, -3 = b - 4*b. Calculate the lowest common multiple of 3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-2 - -11)) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -120*f - 40. Does 10 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1177372*w**4 + 815*w**2 + 24*w wrt w.\nAnswer: 28256928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:41 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 535 = 5*p. Let m = -1326 + 1364. What is the remainder when p is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 16 = -h. Let w be 7 - (-4 - h)*-1. Suppose -15 = w*o - 4*x, -1 = x - 6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 14, -16 = h + 4*d. Suppose -4*g + h*g - 3*q + 1 = 0, 4*g = -4*q. Let a = 25 - 14. Solve p - a = -y - 3*p, p = -2*y + g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s - 47156 = -3785. Calculate the greatest common divisor of 158 and s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14083366*v**2 - 14083336*v**2 + 2.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-22) + 4515\/1155. What is the fourth smallest value in -81, 1, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.6. Suppose 0 = 4*q + 5*s + 41, 2*q + 0*s = 2*s + 2. Put v, q, -3 in decreasing order.\nAnswer: v, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/28, 4, -32, -0.4, 0.3?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -2*r**5\/15 + 11*r**4\/6 - 4*r**2 - 7. What is the second derivative of w(o) wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 - 3*a - 10. Let n be u(5). Let y = n - 22. Calculate the common denominator of -6 and (y\/(-6))\/(120\/110).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241611 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**31\/((s\/s**(-4\/3))\/s*s\/s**(-2\/9)*s))**(-5\/2) assuming s is positive.\nAnswer: s**(1555\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3760*x + 3760*x - 128567*x**2.\nAnswer: -128567*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = 2*u. Let t(y) = -4*y + 24. Let i(f) = -f**2 - 5*f + 3. Let m be i(0). Let b(o) = -m + 13 - 4 - o - 1. Calculate u*t(q) + 14*b(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose 4*a + 5*v = 244, g*a - 3*v = -0*v + 276. Suppose 14 + a = 4*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23109, 23102, 23091, 23076, 23057, 23034, 23007?\nAnswer: 22976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/25)*v*v*v\/(((v\/((v**(-22)*v)\/v))\/v)\/v)*(v*v\/(v\/(v*v\/(v*v\/v**(-8))*v)))**(1\/29) assuming v is positive.\nAnswer: v**(-13142\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 21. What is the highest common divisor of n and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732 + 7*a - 756 - 9*a.\nAnswer: -2*a - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191095 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:11 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 26*y**2 + 32*y**2 + 2*y to the form i*y**2 + d + q*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6634357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -57. Let a(k) = -3*k**3 - 2*k**2 + 2*k + 3. Let p(o) = 7*o**3 + 4*o**2 - 4*o - 7. Let x(i) = -5*a(i) - 2*p(i). Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - 5.06. Let u = -0.5 - 1.5. Sort -0.1, u, o.\nAnswer: o, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2760057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1111011?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.4648 millennia in centuries?\nAnswer: 4324.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o + 27820*k - 27825*k + 100, -4*o = k + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -935\/7308 - -1\/63. What is the common denominator of 79\/8 and p?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7607 is divided by 1810.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42243929 divided by -47?\nAnswer: -898807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-16 + 0 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:56 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131689743 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.781+90200452387\nAnswer: 90200452386.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**4\/16 + a**3\/2 + 3*a**2\/8 - 17. Suppose h(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db1a9 (base 14) to base 16.\nAnswer: 81611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c + 3*c - 4*c)*(3*c - 11*c + 64*c) to the form h + n*c + q*c**2 and give q.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + sqrt(176) + 5)**2 - (sqrt(11) + 2 + sqrt(11)*-2 - (4 + sqrt(33)\/sqrt(3)))) + 3.\nAnswer: 10*sqrt(11) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 4, m: 1, a: 8}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 6644945*u**2\/3 + 13289887*u\/3 - 2214981.\nAnswer: (u - 6644943)*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + 26*u + 26. Let g be n(-1). Solve -c = -2*r + 1, -g*c - 1 = -c - 3*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1319 - 91450849034\nAnswer: -91450847715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22208019685 - 22208019685 - 46*f.\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, v: 8, x: 3}. Give prob of picking 3 p and 1 x.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, -8, -82, -186?\n\"Answer: -15*c**2 + c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128737 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250917 and 12564.\nAnswer: 1050840396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -93055.\nAnswer: -186110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 961 and 9207.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*534\/2. Suppose 3*q = 9, -5*i + 0*q + 28 = q. Suppose -2*v + 121 = i*z + 18, -v = -5*z - d. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 11043.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -488, -4539, -15716, -37583, -73704, -127643, -202964?\n\"Answer: -594*b**3 + b**2 + 104*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 92. Suppose 4*n - 5*n = 3*z - 10, i = 5*z. Let o(w) = -w + 4*w**2 + n*w**2 - 7*w**2. What is o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -315*w. Let y(f) = -10*f. What is j(y(g))?\nAnswer: 3150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/((-2)\/21). Let m(r) = r**2 - 5*r - 10. List the prime factors of m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/340 and -5\/1924604.\nAnswer: 9623020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -0.03\nAnswer: -28.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/4*t**4 + 3*t + 0 - 1\/6*t**3 - t**2. List the prime factors of y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 9. Let v = 0 + -0.1. Sort h, 3, v in descending order.\nAnswer: 3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 0, -0.127, 1?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554837 is divided by 425806.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + g**2 + 18*g**3 + 8 + 6.\nAnswer: 18*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.21 - -9.84. Let n = 0.028 + -4.428. Let u = n + g. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3, -2*w = -v - 2*v + 15. Solve j = -v + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2500*(-3)\/((-9)\/(-2280)). Suppose 0 = -w, 2*n + 5*w = -3*n - v. Round n to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = 0, 2*g + v - 577 + 43 = 0. What is the highest common divisor of g and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7950 = -0*t - 5*t. Calculate the highest common divisor of t and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:57 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(3 - 1) - -1. Let k be (-2)\/(x + (-6)\/9). Find the second derivative of 1 + z - k*z + 4*z**3 - 1 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 446791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-24) - (-2)\/16*-14. Solve 2*k - 4*u = -2*u - 16, -3*k - 2*u + 1 = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 6. Let k(q) = -q**3 + 4*q**2 + 5*q + 6. Let n be k(5). Let d(x) be the first derivative of -5*x**2\/2 + 7*x - 6. What is n*m(g) - 5*d(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(-4 + sqrt(1377)*-1 - (-1*sqrt(1377) + -4)) + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvvnvaannvyvlvvann. What is prob of sequence vanv?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.77696ml in litres?\nAnswer: 0.08877696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (173 + -177)*(-2)\/200?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from nnqnsunsqnaqnqnqnqs?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 16) in base 10?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -7\/3, 1, 2, 6, -124, -5, -0.9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 212310.\nAnswer: 3609270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.48891 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {y: 1, x: 1, r: 5, j: 5, w: 5, z: 2}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9*f + 9570, -2*f + 21*b - 16*b + 2118 = 0. What is the highest common factor of 4389 and f?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12644652311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757774 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 4*j + 2. Let o be 6\/(1\/(4\/6)). Let h be n(o). Suppose 4*u = 4*q + q + 65, 0 = 5*u + 2*q - 40. What is the greatest common factor of u and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3 + 216*i**2 + 16284*i - 891136 = 0.\nAnswer: -64, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 3. Suppose -5*i - 2*u + j = 0, -2*u = i - 5 - 5. Suppose 12 = 4*b, 5*r + 0*r - 5*b - 5 = i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5\/3*i**2 - 370\/3*i + 125 = 0.\nAnswer: -75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1023 - -1030. Let a(m) = m - 17. Calculate a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 42*s + 43. What is the remainder when h(-16) is divided by 147?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 8*q - 7. Let t(j) = 2*j + 10. Let i be t(q). Let x(m) = 7*m + 2. Determine x(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38544231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -2. Let w be c + -2 + 4\/(-2). Suppose -u**3 + 3*u**2 + u - 2*u**w + u**4 - 2*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2142, -1, -2, -11 in descending order.\nAnswer: 2, -1, -2, -11, -2142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:16 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4150380 and 1565?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 19. Suppose -4*t = -q - 8. Solve 0 = 2*l - 3*c - 7 + 2, -9 = -4*l + t*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962933.\nAnswer: 881, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -t + 5. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:01 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by 1.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 15*f + 10 = 0. Suppose 46 = 2*m + f. What is the lowest common multiple of m and 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*q - 518*q - 42 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/28)\/((24\/(-7))\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, 297, -21, -3, 9 in decreasing order.\nAnswer: 297, 9, 5, 4, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7178424.\nAnswer: 2, 3, 11, 27191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 38 + 11*n**3 - 38.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(-567)\/(-14). Let h = 111\/4 - t. Let j = -282.07 - -282. Sort h, j, 2\/13.\nAnswer: j, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 2*w - 2. Let t(l) = 2*l**2 + 6*l - 6. Let r(c) = -c**3 - 7*c**2 - 4*c + 4. Let m be r(-6). Give m*v(x) + 3*t(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (642\/(-7062))\/((-153)\/748)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/2 > -2892.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*t - 149*t + 684*t = 19654 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let s(k) be the second derivative of 3*k + 0*k**2 + 0 + 1\/4*k**4 + 0*k**3. Give s(z(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.9, -1\/2, 3.637?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 14, f: 1}. What is prob of picking 2 l?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**11)**(1\/35)*((r\/(((r\/(r\/(r*((r\/r**(-8))\/r)\/r)))\/r)\/r)*r)\/r)\/(r\/((r**15\/r)\/r)))**50 assuming r is positive.\nAnswer: r**(2560\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402528 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.66458ml in litres?\nAnswer: 0.04866458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/28)\/((-1128)\/1504)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(20)\/((sqrt(112)\/sqrt(4))\/sqrt(7)) - ((sqrt(10)\/sqrt(2)*-2)**2 - ((sqrt(5) + 1 + sqrt(5))*2)**2).\nAnswer: 17*sqrt(5) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 43*s + 18. Determine f(-31).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b - 2 = 0, 2 = 3*m + 5*b - 4. Let 3*h**2 + 0*h**3 - 3*h**3 - 3*h**m + 9*h**2 - 6*h = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/88 and 65\/216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0 + 6 - x - 6. Let r(c) = 14*c. Determine r(w(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - (-21 + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/9*588\/(-280).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 2*p + 1. Let w(v) = -2*v**3 - 4*v**2 - v + 1. Let f(t) = 3*l(t) - w(t). Let b(m) = 4*m**3 + 3*m**2 - 9*m + 5. Calculate 2*b(i) - 5*f(i).\nAnswer: -2*i**3 + i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4553 and -3?\nAnswer: 13659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.21344 and -58.\nAnswer: -57.78656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8583 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 0*q - 1\/3*q**3 - 11*q**2 - 1\/4*q**4. Let j be 8\/36 - (-20)\/(-9). Give g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 464*x**2 + x - 2. List the prime factors of h(1).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00072784395 rounded to five dps?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20\/(f*f**(2\/29)\/f*f) assuming f is positive.\nAnswer: f**(549\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + 3195. Factor 3331*i**2 - j*i**2 + 60 - 25*i - 7*i.\nAnswer: 4*(i - 5)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -n + 7, 201*n + 257*n - 3*j = 621*n - 222*n + 65 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/432600 and 58\/355?\nAnswer: 30714600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) + (-144)\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -20*y - 8. Suppose 0 = w + 6 - 1. What is the tens digit of z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:03 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50867\/6 or 224?\nAnswer: 50867\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 23. Suppose 2*b - 65 = y. Calculate the remainder when b is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 67 - 3049. Let q = 1600 + l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3, -5*z + 3*v - 18 = -47. Let t be 4\/(-16)*2*-12. Calculate the greatest common divisor of z and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 218*n**3 + n**2 - 2*n + 1. Let c be h(1). Suppose 4*o - c = -g - g, 2*o = 5*g - 581. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267067213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a6 + -1?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 96*f - 97*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 7*v + 4. Let g be j(4). Suppose f + 13 = g. Suppose s + 17 = 4*s - q, -3*s + f*q = -9. What is the remainder when 34 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - 100. Let y = 266 + j. Let b = 273 - y. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11 - 7*k + k**3 - 3 + 1 - 2*k**2. Let y = 15 - 11. Let t be v(y). Which is the closest to -2? (a) -0.3 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 15) + 13 + -23 - -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1008)*-1 + 2)*-4.\nAnswer: -48 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 30580*x\/7 - 122096.\nAnswer: -2*(x - 15262)*(x - 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*h**3 - 3)*(35*h + 11*h + 32*h).\nAnswer: -390*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 111 = 2001. Are u and -217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**2 - 71653559*s - 61391222?\nAnswer: 4*s - 71653559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + 0 + -1)**2 - (sqrt(50)*-3 + sqrt(98)*3)) + -5.\nAnswer: -38*sqrt(2) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 75*z + 20. Let l be d(6). Suppose -76 = -7*n + l. Let f = n + 66. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 2 + (104 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -25, -19, 19, 101?\n\"Answer: 2*k**3 - 2*k**2 - 22*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a - 471*a - 2 + 2.\nAnswer: -412*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77107 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*f + 5*f - 15*f)*(3 - 5 + 7)*(-2 + 5 - 4) as w*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248183 or 963?\nAnswer: 963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**1))\/((z\/(z\/(z*z**(-3)))*z)\/z))**(1\/40) assuming z is positive.\nAnswer: z**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 440 = 36*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 10) to base 8\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872 = -77*q - 88*q - 943 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*m**5 - 19843*m**4 + 1040805*m.\nAnswer: 620*m**3 - 238116*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670692 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15888262861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1988 and 994.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 i when four letters picked without replacement from {i: 7, b: 2, t: 4}.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2439*5.\nAnswer: -1.2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 10*q**2 + 19*q + 13. Let k be t(6). Let b = k - 197. Which is smaller: b or 18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {p: 1, h: 3, b: 2, w: 10, t: 1, f: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w - 8*w + w in the form m + f*w and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0\/(-108) - (-1)\/((-2)\/(-336)) and 996?\nAnswer: 13944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213779?\nAnswer: 103, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5177*i - 10317*i = -5174*i - 612 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 8, -5*d + 2*h = -33 - 5. Suppose -22 + 112 = d*t. Solve 0*n - t = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10224, 21041, 31846, 42633, 53396?\nAnswer: 64129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/2 + 26521*j**2\/2 + 176092539*j\/2 + 3336191019\/2 = 0. What is j?\nAnswer: -13251, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 5?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/19652991 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/21 + 4\/6. Let t = -94 + 379. Let h = t - 281. Solve o + 0 = h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -20*b**3 - 6*b - 1. Let t = -16 - -13. Is l(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 279 = 3*o. Let f = o + 502. Suppose -7*c + f = -29. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 10 = 8*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*k*z**2 - 283*k*z - 13*k - 438*z**3 - z**2 - 3*z + 2 wrt z.\nAnswer: -22*k - 2628*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13132230003 - 3?\nAnswer: -13132230012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 620764 or 620905?\nAnswer: 620764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877668?\nAnswer: 2, 3, 11, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**4 - p**3 + 9*p**2 + 5*p. Let h(w) = 2*w**4 - 2*w**3 + 11*w**2 + 6*w. Let k(z) = 2*h(z) - 3*x(z). Find t such that k(t) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, 0.5, -3\/4, -0.4, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 2*x + x)*(-23 + 2*x**2 + 22 - 10*x**2) to the form n*x + z*x**3 + h + t*x**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 751 + 37*d**2 - 751 as t + v*d + n*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)*z**(-1))\/(z*z**(-5)\/z*z\/z**(2\/9)))\/((z*(z*z**(-1))\/z)\/(z\/z**(-2\/9))*z**5\/(z*z**(3\/5)*z)) assuming z is positive.\nAnswer: z**(-223\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + (1 - 7) + -6 + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(5)*1)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1056)\/256*106\/53?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8335*o**3 - 8331*o**3 + 25007*o**3 - 8335*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5907 is divided by 2831?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309 is divided by ((-1)\/5)\/(148\/370)*-210.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*y - 8*y + 3 in the form c*y + q and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 71*k**2 + 13*k + 43. What is the tens digit of m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/20 + 5*i**4\/12 + 4*i**3\/3 - 2*i**2 + 3*i. Suppose 24 = 8*r - 4*r. Is x(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*t - 3*t**4 + 124*t + 7 - 2*t**3 + 61*t + 10*t**2 as o + f*t + r*t**2 + s*t**4 + w*t**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122859779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2048860*a**4 - 6*a**3 + 159489*a**2 + a + 1.\nAnswer: 49172640*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86824 + -48993. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/39 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -2645*o + 2646 - 15800 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 = -5*j, n = -3*n - 5*j - 7. Suppose 6 + 8*h**2 + 2*h**3 - n + h + 15*h - 6*h = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/2, 0.5, 0.4, -0.8, -5, 0.02655?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -9\/20*g**5 + 0*g**2 + 0 - 25*g + 0*g**4 + 14\/3*g**3. Find the second derivative of r(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i**2 - 6 + i**3 + 9*i**2 - i - i**2. Suppose -5*r - 2*x = 117, 0*x - 64 = 3*r - 5*x. Calculate the lowest common multiple of 11 and l(r).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56881 and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1910*w - 1901*w + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 22. Let d(a) = a**2 - 6*a + 1. Let u be d(o). Is 58\/5 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15673, 32081, 48489, 64897?\n\"Answer: 16408*m - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:00 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b - 2. Let w be n(7). Let g = w + 8. Let h be 132500\/(g\/(-6) - -4). Round h to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6*(-2 + 89). Suppose -60 = -a - 3*d, 4*d = -2*a + 2*d + t. Calculate the greatest common divisor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let m(j) = -2950*j. Calculate m(l(b)).\nAnswer: -8850*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -76404*k - 611130. Calculate s(-8).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.3 - 3.7. Let j = 19.6 + k. Which is the third biggest value? (a) j (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121213 + -2300?\nAnswer: 3112313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**3\/7 - 832*u**2\/7 + 550*u\/7 + 276\/7 = 0. What is u?\nAnswer: -1\/3, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let c = 364 + -361. Let u(r) = -1 - 2 - 2*r + 2 + 4*r. Let k be u(1). Let z(b) = -2*b. Calculate c*i(a) + k*z(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96*120\/(-407040)*2*(-3)\/9?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 45*r**2 + 9 + 40.\nAnswer: -45*r**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 7*k - 3. Let b(q) = -28*q + 7 + 33*q + 2*q**2 - 3*q**k. Give b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 22*x**2 - 431*x + 129. Determine z(34).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-131)\/20 - (1736\/(-1820) + (-12)\/(-78)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 23220950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5988.1 + -5988. Let z be 2*-1 + -1 + 5. Suppose 4*l + 22 = z. Sort 3, k, -2\/3, l in increasing order.\nAnswer: l, -2\/3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5803484 is divided by 1652.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15792*-8*(-15)\/(-40)*12?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 243 = -b + 443, -4*o + 5*b + 2699 = 0. Suppose -5*s = -2*w + 1042, -7 = -4*w - 3. Let f = s + o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8436)\/1184 - (((-1704)\/80)\/((-48)\/20) - 9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7112*l**3 - 3162*l**3 + 6756*l**3)*(-1 + 1 - l) in the form g*l + y*l**3 + t + u*l**2 + d*l**4 and give d.\nAnswer: -10706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let p(g) = 83*g + 917. Give o(p(b)).\nAnswer: 166*b + 1834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -150426, -150292, -150158, -150024, -149890?\n\"Answer: 134*p - 150560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*t**5 + 11*t**4 - 822*t**3 + 10*t**2 + 2764*t + 1.\nAnswer: -1260*t**2 + 264*t - 4932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14907, -14847, -14765, -14655, -14511, -14327?\n\"Answer: w**3 + 5*w**2 + 38*w - 14951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-87 - (-11 - 0 - -11)) + 4 + 5.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -1190, -7.\nAnswer: -1190, -7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/5, 0.5, -0.15, 0.2 in decreasing order.\nAnswer: 3, 0.5, 0.2, -0.15, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19665999347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22986*w - 627454 - 1768598 = 2778*w for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 + 62 = 0. Suppose -111 - 64 = -5*h. What is the lowest common multiple of (-2 + h - -1) + -2 and s?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00343678516 to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.4 + -312. Let i = 118 + o. Let r = 1.95 + 0.05. Which is the closest to r? (a) 1 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 88112 - 88096 + 176208.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/333 and -121\/5106.\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/5 - 22*o**4\/5 - 101*o**3 + 22*o**2\/5 + 504*o\/5 = 0.\nAnswer: -14, -1, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920*w - 156 = -998*w. Suppose -4*c + 1 = -19. Let s(r) = 2*r - 6. Let k be s(c). Solve 3*n = k*z - 12 - 4, -w*z = 5*n + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/11 + 188*i**2\/11 + 390*i\/11 - 576\/11 = 0.\nAnswer: -3, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -4496263?\nAnswer: 4496259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:46 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 6*i + 6. Suppose 0*b - b = 0. Suppose b = -c - 4*c. Suppose 0 = -2*m - c*m - 12. Calculate t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 586 + -365. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -3*q - 747, 238*q = 243*q - 5*z + 330 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00287193 rounded to five decimal places?\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 5, l: 1, b: 2}. What is prob of picking 2 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 225*v - 227*v - 30 - 50 = 0, 140 = -3*l - 4*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**4 + 14*k**3 + 5*k**2 - 39630*k wrt k?\nAnswer: -72*k**2 + 84*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7038 or -7597?\nAnswer: -7597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -530*p**2 + 14*p + 14. Let l(j) = -106*j**2 + 3*j + 3. Determine 14*l(x) - 3*t(x).\nAnswer: 106*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 43*s**2 + 11*s + 8. Let n(t) = -t**3 - 21*t**2 + 5*t + 3. Let f(j) = -3*m(j) + 5*n(j). What is the thousands digit of f(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6514.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -273? (a) -34\/3 (b) 14 (c) -11 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/80 and 47\/16 + 5 - 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6560874.\nAnswer: 2, 3, 389, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -1398, -2076, -2732, -3360, -3954, -4508?\nAnswer: -5016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -15. Let p(t) be the second derivative of -t**5\/20 - t**4\/4 - 2*t**3\/3 - t**2 - 2*t. What is the least common multiple of o and p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 5290 = 12*j. Let t = -42870 - j. Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7203 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-3 - 0) - -3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2869 is divided by 952.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.59 - 3.5. Which is the closest to -0.1? (a) l (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/19)*(o*o*o**(-2))\/o)\/((o*o**4)\/(o\/o**(1\/5))))\/(o**(1\/8)\/(o*o*(o**(-4)\/o)\/o)*o**(-5)*o**(-4)\/o) assuming o is positive.\nAnswer: o**(1353\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111984930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -3\/7, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 291 (c) -2\/3 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-377)\/117)\/(1\/(-9)). Suppose -14*t + 2081 = z - 16*t, 0 = 2*z + b*t - 4180. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 50*q**2 + 89*q - 85. What are the prime factors of u(-53)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 31*q - 5. Let b be 5\/10 - (-3)\/2. Let w be s(b). Suppose 0*m = m - w. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41410430 (base 6) to base 13\nAnswer: -32c95b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 21*y**2 + y + 3. Let q be x(-3). Suppose 2*m - q = -3*l, 5*m + 4*l - 361 = 94. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -134\/15, -5, 0.4, -3 in descending order.\nAnswer: 0.4, -3, -5, -134\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2.122 (c) -0.3 (d) -0.4 (e) -0.34 (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19965 is divided by 1842.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiiiaaiaaiiiwiiiiai. What is prob of picking 2 i and 1 a?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94156881 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*m**5 + 30*m**4*p - 42001*m*p + m wrt m?\nAnswer: 4760*m**3 + 360*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 987470 or 987393?\nAnswer: 987393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 40*k - 246. Let o be t(6). Let r(i) = 4*i**3 + 6*i**2 + i - 5. Let b(n) = -3*n**3 - 5*n**2 - n + 4. What is o*b(f) - 5*r(f)?\nAnswer: -2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - -1 - (-112)\/168. What is the second smallest value in 0.06, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-8) + 28\/(-7).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 114513055.\nAnswer: 2\/114513055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 3 - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47560287832 and -0.4?\nAnswer: 47560287831.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 0.03909762+2.3\nAnswer: 2.33909762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 1 = -263 - 53 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrzx when four letters picked without replacement from zrtoztoorotoxoxoorz.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(285)\/sqrt(5))\/(-2*sqrt(432) + sqrt(6)\/sqrt(8))*2.\nAnswer: 16*sqrt(19)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 4*j**2 + 151*j + 976. Determine h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 337705830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.055 + 0.055. Let d = -22 - g. What is the second biggest value in 1, d, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 51 - 23*r)*(-5 - 1 + 1)*(-8 + 5 + 21) + r + 8*r - r as s + f*r and give f.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(275)*3.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.069.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-75)*(-3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Let l(f) be the third derivative of -2*f**2 + 0*f - 1\/60*f**5 + 0 + 0*f**4 + 1\/6*f**3. Let i(s) be the first derivative of l(s). Give a(i(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10321 + 100?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + r**4 - r**4 - 43*r**2 + 8*r**4 + 43*r**2 + (5*r**2 - 5*r**2 + 2*r**2)*(0 + 0 + 3*r**2))*(-2 - 1 + 5) + 0*r**3 - 4*r**4 + 0*r**3.\nAnswer: 22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -553111174 from 13012.\nAnswer: 553124186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + -97. Suppose -2*h = -t*h + 3*d - 24, h + 5*d = 19. Suppose 0 = s + 2*s + 2*c - 116, -s + 48 = 3*c. What is the highest common factor of h and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.511 * 218.\nAnswer: -5561.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00185012 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -621 < 1415094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -120892.\nAnswer: -1\/120892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 18*q - 17. Let k be p(-19). Let x be 3 + (-9)\/(-6)*-2. Suppose x = -k*w - 4, 3*w + w = b - 11. Solve -b = 4*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3399*f**2. Let c(h) = -85*h**2. Give -242*c(x) - 6*g(x).\nAnswer: 176*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/29? (a) 1 (b) -3 (c) -1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 0.02, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 15*f**2 + 9)*(4 - 3 - 3 + (-2 + 3 - 3)*(10 + 7 - 1)) + 2*f - 2*f - 2*f**2.\nAnswer: 508*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 5*s**5 + 3*s**5 + (-4*s**4 + 2*s**4 + 0*s**4)*(-2 + 2 - 2*s) + 2*s**5 + 2*s**3 - 2*s**3 + (-2*s**2 + 0*s**2 - 5*s**2)*(-s**3 + 1 - 1).\nAnswer: 15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 17, -5, -61, -163, -323, -553?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -s. Let r be 0\/3 + s + 7. Let b(d) = -2*d + 3. Let n be b(-3). Solve r*h - 1 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-4)\/(-2)))\/(261\/145)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980946 divided by 2.\nAnswer: 490473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 136. Put -1, 5, i, -3 in increasing order.\nAnswer: -3, i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) -0.667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2425466*c**2 + 282*c**4 - 2430903*c**2 + 452*c**4 wrt c?\nAnswer: 17616*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 6 - 1 - 2\/2. Solve -o*h + h = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 3*a + 164 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.029 + 0.2.\nAnswer: 2.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63969 and -5.\nAnswer: 319845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Suppose y*u = -2*u + 756. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 2}. Give prob of sequence wwl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen quarters of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, -0.056, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 74. What is the remainder when u is divided by (-11)\/(-4) + -2 + 1271\/124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -36. Let l(j) = -2*j**3 + 2*j**2 + j + 5. Let w be l(-4). What is the highest common factor of w and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 44*l + 794. Give g(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 + 197. Put 1\/9, -3, w, 0.05 in ascending order.\nAnswer: -3, w, 0.05, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 4*j**2 - j + 2. Let u be b(0). Determine v so that 4\/9 + 2\/9*v**u + 2\/3*v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 937, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9104314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*c*j**2*n*w - c*j**2*n - 8*c*j*n*w + 3*c*j*w + c*w - 2*j**2*w wrt j.\nAnswer: -146*c*n*w - 2*c*n - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35168930 is divided by 2219.\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 = 2*m - 4*v, 372 = 80*m - 79*m + 4*v. What is the greatest common factor of 10624 and m?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6570?\nAnswer: 6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3654, -4669, -5714, -6807, -7966, -9209?\nAnswer: -10554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/6*900\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**2 + o - 3. Let q(l) = -13*l**2 + 2*l - 7. Calculate 2*q(c) - 5*t(c).\nAnswer: 4*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/623?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 439651625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2676 to 2 dps.\nAnswer: 7.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12144935\/6 or 2024157?\nAnswer: 2024157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - j - 875 = 0, -2*m - 5*j = -10*j + 589. Round m to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-10 + 1 - 3) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d. Let a = -5 + 6. Let w be y(a). Suppose 732 = w*q - 3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1029 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*n - 7 - 63*n + 27*n in the form p*n + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370 + 247 - 367 + 9*j + 860 - 367.\nAnswer: 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o. Let y(q) be the first derivative of -q**3\/3 + 9*q - 11. Let t(i) be the first derivative of y(i). What is t(b(j))?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/2))**(14\/9)*(w**(-2\/3)*w)**(-16\/7))**(-20))**(4\/15) assuming w is positive.\nAnswer: w**(1552\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - l**2 - l + 4. Let w(k) = 4*k**3 - k + 4. Let i(g) = 3*n(g) - 4*w(g). Let v be ((-2)\/(-2))\/(7\/(-21)). Give i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*g - 12 = -242*g - 235*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 + 107*j - 1017. What is the remainder when v(10) is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -1\/2, -909, 0.2, -44?\nAnswer: -909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5438817 + 3453618. Let q = n - 3712435. Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 6232072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t + 4*t**2 + 4 + 0*t**2 - 3*t**2 - 12*t. List the prime factors of m(15).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = -32. Let s be (-1)\/(-4) + (-30)\/j. Let d = -3349 + 3348. What is the nearest to d in s, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509002117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from {m: 6, e: 1, o: 3, c: 7}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 9. Let t(b) = b**2 + 1. Let v(f) = 75*f**4 + 60*f**3 + 27*f**2 + 15. Let u(s) = y*t(s) - v(s). Factor u(q).\nAnswer: -3*q**2*(5*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-6)\/5526). Let u = 1025 + w. Is -3 + 4\/(12\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2438474\/6225 + 852\/2075. Let k = 392 - v. Which is the second biggest value? (a) -0.3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 8\/(1 + -3). Solve 6 = y*w - 7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1036, 2887, 5554, 9031, 13312, 18391, 24262?\n\"Answer: -d**3 + 414*d**2 + 616*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/44 - (2 + (-18)\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 262*p**2 - 23016*p\/5 - 112896\/5.\nAnswer: 2*(p - 21)*(p + 4)*(p + 672)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.31? (a) -5 (b) -0.7 (c) 2\/9 (d) 5 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005758 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) + (-1)\/((-27)\/87). Suppose r*v = -5*d + 1205, 0*d + 2*d = -2*v + 478. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3110 - 201331012?\nAnswer: -202000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -25*m**2 - 1248*m + 84. Calculate t(-50).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**4\/8 + 2*a**3\/3 + 11*a**2\/2 + 11. Let k(g) be the second derivative of z(g). Differentiate k(l) wrt l.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123625 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -1 (c) 1\/38 (d) -16.5 (e) 4 (f) 2\/5 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 - 2*f. Let d(p) be the second derivative of -p**5\/20 + p**4\/3 - p**3\/2 - p**2 + 6*p. Let o be d(3). Does 12 divide b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 14) + 3 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101136 - 6046*z**2 - 101136.\nAnswer: -6046*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q = 2. Let c be q + -1 - (-3 + -2). Solve -3*h = 2*l + c + 6, 3*h - 20 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9408+457\nAnswer: -8951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3293 is divided by 138.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + 35\/99. Let a = 28770\/19 + -2842834\/1881. Let b = a + z. Find the common denominator of b and -9\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9006726*k. Let b(h) = 6*h. Give m(b(x)).\nAnswer: -54040356*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5 = -4*d, -5*s + 8*d = -4*s - 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16887 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Let h be (y + -2)\/(6\/18). Put -0.04, -2, h in ascending order.\nAnswer: -2, -0.04, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 291514766 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123830215, 247660426, 371490637?\n\"Answer: 123830211*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 19 (c) 5 (d) -6 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 173*l**4\/6 + 5*l**3\/6 + 48*l**2 + 2. What is the hundreds digit of h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:44 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-18))\/((-4)\/6). Let b(o) = o**2 + 5. Let y(c) = -c - 11. Let k be y(-11). Let r be b(k). What is the third biggest value in v, r, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssx. What is prob of picking 1 n and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 62. Suppose -s*h + 6 = -0. Solve m - 4*m - h = 4*k, -3*k = -m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = -b - 346 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - 6) + -2 + 13 + -55 + -2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680*i + 11954*i + 35588 = -36330 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*182\/134)\/(92\/230). Which is smaller: 14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-41*z**2 - 194*z + 194*z).\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 3*f**2 - f**2 to v + t*f + y*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -39. Let l = 21 - c. Let s(z) = z**3 - 2*z - 1. Let f be s(-1). Put f, -4, l in descending order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 11*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150266 = 510*w - 5877*w - 810407 for w.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 230068 * 0.5\nAnswer: 115034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 311837, 623931, 936027, 1248125, 1560225?\n\"Answer: i**2 + 312091*i - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52775, 105590, 158405, 211220, 264035, 316850?\n\"Answer: 52815*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 15. Let f be g(-10). Let q(p) = p**3 + 7*p**2 + 3*p + 6. Give q(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/15, -5, -0.07, 0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -499 + 350. Let c = -91 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/9 + 746*j**3\/3 - 111598*j**2\/9 + 74690*j = 0.\nAnswer: 0, 7, 45, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296802 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -1115\/7. Which is the third smallest value? (a) 3\/8 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 5*h**2 - 11*h - 3. Let c(o) = 11*o**3 + 14*o**2 + 32*o + 8. Let b(g) = -6*c(g) - 17*i(g). Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 18*v**2 - 89*v + 798. Determine m(15).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 131*l**3 - 72*l**2 + 9*l - 75. Let s(g) = -66*g**3 + 40*g**2 - 5*g + 38. Determine -9*s(d) - 5*y(d).\nAnswer: -61*d**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2593, -2608, -2655, -2752, -2917, -3168, -3523, -4000?\nAnswer: -4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglllllglllllglgll. Give prob of picking 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6359 = 3*v + 6349, 6*l - 1 = -v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*z - 3*n, -18 = -5*z - 25*n + 28*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-777925\nAnswer: 77792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26065214*-2\nAnswer: 52130428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, t: 2, q: 8}. Give prob of sequence qttq.\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 34*s - 70378. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -453146 and 8?\nAnswer: -3625168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -86177*p**2. Let l(c) = -3*c. Calculate m(l(j)).\nAnswer: -775593*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*o - 16918 = 12796 + 19694 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205\/(-175)*(-6566)\/938.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -g - 2*m + 2970, 5*g + 3*m - 13715 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19054*w - 3028. Let f be y(18). Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 2*b, 2*b = -4*a - b - 18. Let j = a - -45. Suppose 5*o - 2*q = o + 20, -3*q - 24 = -5*o. What is the highest common divisor of o and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 + -257. Let y be (-7 + 130\/a)*9. Let d be (0 + 0)\/(11\/(-11)). Solve d = -o - 2 - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 8*k**2 - 8*k - 11. Is 44 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*(-27)\/72)\/(-1 - -7). Let u = -4 - -6. Let o = u + -2.5. Which is the smallest value? (a) -3\/2 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5472) - (2*sqrt(5472) + sqrt(5472))) + (sqrt(5472) + sqrt(5472)*3*-6 - sqrt(5472)))\/((sqrt(384)*-2)\/sqrt(108)*4).\nAnswer: 63*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 171 = -116. Suppose -2*h = -14, -t + 11*h = 8*h - 20. Calculate the greatest common factor of d and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21123 - -202?\nAnswer: 21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f - 8. Let d be h(-6). Let u(t) = -2*t + d + t + 1 - 2. What is the units digit of u(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9445426 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2553000 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, -22 in decreasing order.\nAnswer: 8, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -25. What is the units digit of 148\/12 - 2\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54.39291cm?\nAnswer: 0.5439291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnqnnqnn. What is prob of picking 2 q and 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + 6*p**2)*((-1 + 0 - 1)*(-2*p - 2*p + 6*p) - 3*p - 5*p - 11*p).\nAnswer: -138*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 5}. Give prob of sequence zz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (8 - (12 + 15 + -46))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:35 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10027 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let d(g) = -5*g**2 + 6*g - 1. Let b(c) = 3*c**2 + 4*c. Let p(z) = -2*z**2 - 3*z. Let r(o) = 5*b(o) + 7*p(o). Calculate i*d(n) - 4*r(n).\nAnswer: n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -869 divided by -2\nAnswer: 869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -734\/905 - -2\/181. Suppose 25*z + 1980 = 21*z. Let t be (2\/5 - (-88)\/z)\/2. What is the third smallest value in f, t, 1\/2, -0.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 201.\nAnswer: 29\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -21 + 1. Suppose -f*k = -2*x + 27, 0*x + x - 3*k = 14. Suppose -x*l + 39 + 16 = 0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160.27+2\nAnswer: -158.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/5*(-65)\/(-26). Factor -16*d + 23*d**2 - 13*d**w + 9*d**2 + d**3.\nAnswer: -4*d*(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204196 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + 4 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5522*b - 3387. Is s(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23531757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 1. Let i be m(1). Solve -f - i = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtwx when four letters picked without replacement from xtwxwtxwtxwwxwtwwl?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16 + (-50)\/8. Let d = i + 11. Solve -d*b = 3*a - 21, -7*a + 3*b + 1 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 3, u: 5, i: 5, y: 5}. Give prob of sequence svs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 16, 4*i = 11*h - 15*h - 4. Let l(p) = 4*p + 7. Let s(g) be the first derivative of -3*g**2\/2 - 6*g - 2. Calculate h*s(x) - 4*l(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*x + 19 = 2*x, u - x = -2. Let q be (-2)\/u + -10 + 8. Let f be 15\/q*(-24)\/9. Calculate the highest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3811 and 8549.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 33424898.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11753, 23466, 35147, 46796, 58413, 69998, 81551?\n\"Answer: -16*x**2 + 11761*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 - 4*h + 5. Let w = 68 - 44. Suppose -t = 5*t - w. What is o(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3807*d = 3805*d + 2648. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143576?\nAnswer: 2, 131, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334539719 or 334539717?\nAnswer: 334539717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.046, -2\/13, 5, -6 in decreasing order.\nAnswer: 5, 0.046, -2\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -16*h + 36. Let p be d(2). Let u(a) = a - 5. Let k(c) = -c + 5. Give p*k(n) + 3*u(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from kaakkkttitvkkkkt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from zopgf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 245000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**3 - 1 + 0*t**2 + 2\/39*t**4 + 1\/10*t**5 - 18*t. Factor o(w).\nAnswer: 2*w**2*(13*w + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(550)*-6)\/(sqrt(1100)*-1 + sqrt(11)))\/(-2*sqrt(30)\/(sqrt(3) - -1*sqrt(363))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((4\/4)\/((-266)\/(-38))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 210 = -2*t - 2*t, 0 = -t + w - 57. Suppose k = -4*f + 260, -k + 3*f + 280 = 2*f. Let p = t - k. What is p rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.91 plus -2.6074832?\nAnswer: -4.5174832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.043 - 2.823. Let k = z - 0.22. What is the closest to k in -1\/5, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3672 (base 10) in base 8?\nAnswer: -7130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17869.34 hours?\nAnswer: 64329624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 1380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v**2 + 6*v - 3. Let w(o) = -23*o**2 - 7*o + 2. Let h(a) = -2*q(a) - 3*w(a). Let z(r) = 5*r**2 + 2*r. Calculate -2*h(i) + 9*z(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23637033 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*f, 0 = -3*n - 2*f + 4*f + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-25)\/(-9) - (-109030)\/18. Let x = -15057 + t. What is x rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 235 = -230. Solve 0 = -f*b + 25*b + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 20*u + 25. Let q be w(-21). Suppose 8100 - 2504 = q*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 7*k + 0*k**2 - k + 745 - 760.\nAnswer: -(k + 3)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)\/b)**(-5\/12))**(-12) assuming b is positive.\nAnswer: b**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) 8.8 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 545*k - 51. Let d(w) = -2*w**2 + 545*w + 68. Calculate 3*d(r) + 4*v(r).\nAnswer: -2*r**2 - 545*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 0. Let o = -1576 - -1575. Sort b, 0.4, o, -3 in decreasing order.\nAnswer: 0.4, b, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3909 - -6610. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 95 = -3*s. Suppose z - 5 = 2*q, -z - 5*q = -0*q - 5. Suppose z*g - 33 = s. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - (5 - 1)) + (-8 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45047233 and 1502?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*a + 2*a + a**3)*(-20*a - 13*a + a) to the form k*a + m + g*a**2 + u*a**4 + v*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 smaller than 2\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13632*n**4 + n**2 - 1612*n + 1.\nAnswer: 327168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 147 = -433. Suppose o*d - 12*d = 3752. List the prime factors of d.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 43\/24*n**4 + 0*n + 0*n**3 + 0 - 1\/120*n**6 + 0*n**5 - 7*n**2. Find the second derivative of m(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -665 in -18\/71, -0.02, 4?\nAnswer: -18\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 8)*4\/6. Suppose -3*l + l = -g. Which is greater: -0.6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 294, 281, 256, 213, 146, 49, -84, -259?\n\"Answer: -b**3 - 6*b + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:51 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2192)\/(-995168)*(8\/10)\/((6\/10)\/(-3)).\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*r = -302*r + 32 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-4) - 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650463357?\nAnswer: 3, 216821119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-312)*(-26)\/((-832)\/(-24))*88\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*4 - sqrt(6))\/(sqrt(2)*-1*-6).\nAnswer: 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2556 at most as big as -2552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 4*f + 4. Let t be g(1). Suppose 0 = 4*h, -4*h + 1 = 2*l - 5. Let r = l + -5. Is r smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/1000)\/(3\/45*3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.667977cm to millimeters.\nAnswer: 36.67977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 256*j**2 - 18 + 2*j - 257*j**2 + 7*j. Let g be f(3). Which is bigger: 2\/167 or g?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003158 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t + 135*t - 1617 = -72*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 46 = -4*v, 4*v + 8*r - 10*r + 11 - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 111557590*q - 622254794330405.\nAnswer: -5*(q - 11155759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 108*r + 7*r = -6860 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 9:46 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -38796800 to the nearest 100000.\nAnswer: -38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4 - 20*q**3*t**3 + 9*q**3 - 3*q**2 + 37*q*t**3 wrt q?\nAnswer: 24*q - 120*t**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -47*z**2 + 87*z - 1. Calculate j(4).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16500 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 7\/2*h**2 + 13\/2*h.\nAnswer: (h + 3)*(7*h - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 0, 2*j - j - 16 = -s. Let b be 464012\/16 + (-12)\/j. What is b rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/4)\/(6\/(-64)). Solve -5*u = -4 + s, -3*r + 6 = -3*u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2))**(-1\/44)*o**(-11\/6)\/o**(12\/5) assuming o is positive.\nAnswer: o**(-5633\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*k**2 + 4*k**4 + 41*k**2 + 1252*k**3 - 912*k + 33*k**2 - 1080*k**3 + 413*k**2 = 0 for k.\nAnswer: -38, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -9*f - 80. What is f rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -185, -173, -143, -89, -5, 115, 277?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 74, 0, -1 in ascending order.\nAnswer: -1, 0, 2, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3019*r + 31 + 17 + 3017*r in the form q*r + y and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2522018568 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 - 9*d - 5. Let t be z(-8). Suppose 23 = -5*s + t*k + 99, -4*k = 4*s - 48. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(18\/(-4) - -4). Suppose 7*n = 4*n, -a + q = -n. Solve 4*s - s - 27 = 3*w, -w + 21 = a*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9669, 19459, 29281, 39135, 49021?\nAnswer: 58939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (20\/(-50) - (3 + 1))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323436 and 242577.\nAnswer: 970308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:10 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x. Let q be v(-2). Let l(o) = -o**2 - 6*o - 3. Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 3*d**2 - d. Let q be s(-1). Suppose q = 18*p - 13*p. Suppose 2*g + 18 - 204 = p. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5017 + 17642?\nAnswer: 12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbbbbbpbbbbb. Give prob of sequence bbp.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.75*-4458\nAnswer: -3343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/10)\/(15\/4). Let n be (32\/(-40))\/((-2)\/(-119)). Let s = -47 - n. What is the smallest value in 1, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4815599 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145621\/109 - 1336. Let x = -3143\/654 + m. Calculate the common denominator of x and ((-2130)\/(-315))\/((-10)\/3 - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4311 = 8086. Let l = -2 - -4. Calculate the remainder when (-23)\/(y\/132)*14\/(-4) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 145883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264806*k**4 - 158*k**2 + 2*k - 231?\nAnswer: -6355344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36791, 73662, 110533, 147404, 184275, 221146?\n\"Answer: 36871*v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1378 + -550. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.011, 0.5, 2\/5 in increasing order.\nAnswer: 0.011, 2\/17, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, 3.47, 0.4, -2 in ascending order.\nAnswer: -2, 0.4, 3.47, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 321 - 309. Suppose 9*r - 20 = 7*r - 3*s, r - 4*s = -c. Solve 2*h - 4 + 10 = -4*n, r*n + 12 = 4*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217460340.99999864 + -217460359. Let q = 52 - 70. Let w = q - t. What is w rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 79*t**2 + 16*t - 47. Let m be 6*(-2)\/(-24) + 5\/2. List the prime factors of g(m).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*o = 11 + 74, s - 4*o = 33. Let v = 129 - 128.7. What is the smallest value in 5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22929315 is divided by 219?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Find the third derivative of 12*o**6 + 7*o**f + 121*o**3 - 121*o**3 wrt o.\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336567 (base 8) to base 6\nAnswer: -2235543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 6*y**2 + 62. Let j(o) = -7*o. What is j(w(i))?\nAnswer: -84*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110754841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469 = -3*p - 3*b + 9789, 20429 = 5*p + 4*b. Is 95 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 12521.\nAnswer: 62605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7239 rounded to the nearest 10?\nAnswer: -7240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 34 - 6 = 0. What is the remainder when u is divided by ((-2)\/4)\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 425\/(-25) - (-9 - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i - 4. What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -1.368\nAnswer: 2.5992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4\/9 + 36*h**3 + 1184*h**2\/9 - 1232*h\/3 = 0. Calculate h.\nAnswer: -77, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 22*n**2 - 50*n + 256. Is 47 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by -26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 39\/(351\/(-72)) - (-1985 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732547963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -25, -30, -29, -22, -9?\n\"Answer: 3*q**2 - 20*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = -8*h. Suppose -h*w = -4*w + 36. List the prime factors of 4\/w + (-3 - (-3099)\/27).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z + 255 = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -84, -138429?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 0. Let w = m + 9. Suppose -w*a + a - 15 = 0. What is the biggest value in a, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u + 2. Suppose 3*m - u*n = 12, 5*n + 29 = 9. Let 2*s**2 - 4*s**2 + m*s + 4*s = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -377\/5. Which is the closest to -1? (a) j (b) -0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2) + (-14)\/4. Let g = 0.0178 - 282.0178. Let a = g - -280. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u. Let k be y(7). Suppose 0 = -t - 3*l + 55, -3*t + k = -0*t + 4*l. Let g = t + -9. What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -610116877 divided by 3\nAnswer: -610116877\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -10, 17\/7, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289*d**4 + 16*d**3*z**3 - 2*d**2*z - d*z - 2348*z**3 wrt d?\nAnswer: 6936*d + 96*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -607 + 428. Which is smaller: -180 or u?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2496 and 636551136?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*((y*y\/(y\/(y**1\/y*y)))\/y)\/y*y))\/((y*y\/y**0*y)\/y*y))\/(((y\/y**(16\/3)*y)\/y)\/y**(-3\/5)) assuming y is positive.\nAnswer: y**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - -4) - (4 - (5 + -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 27\/52207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 33*n**2 + 5048625*n + 3212748 = 0.\nAnswer: -152988, -7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 29*i - 24. Let y be 4\/(-8)*18 + i. Sort 2\/7, y, -0.5 in increasing order.\nAnswer: y, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -24*o - 5\/36*o**4 + 0*o**2 + 0 + 1\/9*o**3 - 1\/126*o**7 + 1\/20*o**5 + 1\/90*o**6. Factor y(j).\nAnswer: -j*(j - 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l, -2*l + 2 - 6 = 5*q. Is 1*(4 - (q + (-1 - 1810))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -654549, -9 in descending order.\nAnswer: 2, -9, -654549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 95208546.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Suppose 2*w = 3*j - 6 - 13, -3*w - 15 = 0. What is the least common multiple of (27 + -5)*(j + y) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4, 0, -2, -0.1, -425173?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1422 - -30182?\nAnswer: 31604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + -9.22. Let d = -9.2 - z. Which is the nearest to -1? (a) 3\/7 (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5782371 kilometers to millimeters.\nAnswer: 578237.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8067579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + 48*p**3 - p**2 - p?\nAnswer: 48*p + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8539677 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 246952157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -52, -49, -46, -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:07 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzhzzzhzzzhz?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14265758167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6\/(-9))*(-1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 5*b + 10. Let j be h(4). Suppose -3 = -9*f + j*f. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00897717 rounded to four decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89139.01 millilitres?\nAnswer: 89.13901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 25 = 6*r. Put -1, -62, r in decreasing order.\nAnswer: -1, r, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0\/(-4))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*i - 614*i + 206*i + 206*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let z be (-2)\/(-1 - s) - 180. Let v = 1445\/8 + z. What is the closest to -1 in -3, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 5*x**2 + x**2 - x**2. Let n(z) = -5*z. Give y(n(p)).\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22481791*f + 20350910?\nAnswer: -22481791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/125644 and -25\/16.\nAnswer: 502576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*s - 372*s + 170*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.996 bigger than 494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*i**3*s + 2*d**3*i**2*s - 5*d**3*i**2 - 511*d**2*i - 120268782*d*i**3*s + 5*d*i**2*s - 4*d*s - 17*d wrt i?\nAnswer: 12*d**3*s - 721612692*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(3520\/(-48)))\/(3\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**3\/12 - 3*h**2\/8 - h\/2 + 3. Factor o(q).\nAnswer: -(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35833*p + 71826*p - 7*p**2 - 35993*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9c28 (base 16) to base 3\nAnswer: 2000211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-4)\/(-112)*4. Let p = -0.4539 - -0.4639. What is the third smallest value in p, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-32)\/((-124640)\/(-11603))\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let v(q) = 84*q**2 + 2*q + 211. What is v(j(l))?\nAnswer: 756*l**4 + 6*l**2 + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 11:17 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, j: 11}. What is prob of sequence jqqj?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 - k + 7. Let f(c) = -3*c**2 - 3*c. Let a be f(-1). Suppose -4*g - 12 = a, -3*g = 5*z - 0*g - 21. Give m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2031 = 10*b - 7*b, 2*a - 1012 = 2*b. Let z = 1378 - a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.42 - -194.42. Let q = -281 + r. Let h = q - -87.0032. What is h rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246185 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456.5 * -8.48.\nAnswer: 3871.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*z - 564831 + 559706 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.419 less than -8.789477501?\nAnswer: -5.370477501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 20. List the prime factors of ((-14)\/(-7))\/((-2)\/(-279)*l).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-26 + 4 + 2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose b = -0*o + 3*o - 36. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 2, 41, 0.5, -3, 167\/5?\nAnswer: 167\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l - 2 + 2)*(0*l + 2*l - 2 + 0*l) to the form j*l + f*l**2 + b and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/3 - x**4\/3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 - 9 = 0. Let l be ((-60)\/(-14))\/(s\/(-21)). Suppose a - l = 54. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 0, 13844 in increasing order.\nAnswer: -8, 0, 3, 13844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 8*m + 50. Suppose -4*w + 42280 = 3*n + n, m*n - 31685 = 2*w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 3 - -4) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 2615\/(-525))*5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221021100220020 + -1?\nAnswer: -12221021100220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**6\/360 + p**5\/24 - p**4\/12 - 3*p. Let y(f) be the third derivative of s(f). Differentiate y(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g**6*g**(-2\/23)\/(g**(2\/13)\/g) assuming g is positive.\nAnswer: g**(526\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-169)\/156 - 2\/(-8). Put -1, 0, d in increasing order.\nAnswer: -1, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4213, -16260, -36337, -64444, -100581, -144748?\nAnswer: -196945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q, 0 = 4*g - 4*q - 46 + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/6 - 10*m. Suppose -u - 2*u = -6. Let c(z) = u*z - z + 2*z - z. Determine c(b(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-350)\/(-18))\/7 - 1. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15628439 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 i(m) = -m**3 + m**2 - m + 1. Let t(g) = -g**2 + 65*g + 1. Calculate -i(r) + t(r).\nAnswer: r**3 - 2*r**2 + 66*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*n - i, 0 = -5*n - 2*i - 0 + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u**2 + u. Let x be y(1). Let i be -2*2*6\/648*-2. Is i at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/24607691 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 1. Let s(u) = 7*u**2 - 11*u - 7. Let v(m) = -6*h(m) - s(m). Let l be v(9). Let f = l - 2. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:44 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -114.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = 8. Let h be 255\/20 + (-1)\/y. Solve -2*m = -m + 4*b + h, 2*b = -5*m + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35575.0015979 + 35575. What is s rounded to 5 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 1255439 - 1255439.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -p - 3 - 2, 4*p = -4*q - 44. Let n = -30 + 17. Let y = p - n. Calculate the remainder when 8 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113110 (base 6) to base 3\nAnswer: -111101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - 0.39. Let t = 6.34 + z. Let b = t + -6.0004. What is b rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3056, 6291, 9700, 13283, 17040, 20971?\n\"Answer: 87*q**2 + 2974*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -452*i + 909. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and -26023.118457.\nAnswer: -25984.118457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2268 and 126000.\nAnswer: 1134000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -v + 990, 3*v + 784 + 1680 = 5*i. List the prime factors of i.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 4. Let d(c) = -6*c - 12. Let j(v) = -4*d(v) + 11*f(v). Let i be j(6). Let w = 26 - i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357804 is divided by 836?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.2 - 9. Let l = -59 - -11. Let r = l - -47. Which is the third biggest value? (a) 1 (b) 3\/7 (c) j (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 311, -0.51, -1\/9?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - o + 7. Let g(w) be the first derivative of -w**3\/3 - 3*w**2 - 2*w + 8. Let q be g(-5). Is 6 a factor of n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4800.548 millilitres to litres.\nAnswer: 4.800548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(11) + 3)**2 + -3 - (sqrt(11) - ((sqrt(11) + 0)*-5 - sqrt(11)))*-1) + 3.\nAnswer: sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/119 and 9\/15800021.\nAnswer: 110600147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42a9 - -48?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262 (base 8) in base 4?\nAnswer: -122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 18, -8, -56, -132, -242, -392?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16209311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:27 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344097 and 2422.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24573 (base 13) to base 12.\nAnswer: -32829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -25, 2\/3, 0.5, -3\/8, 8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65803 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: Let h(w) = 13*w**2 + 715*w. Let m(n) = 3*n**2 + 143*n. Let f(o) = -h(o) + 5*m(o). Let x(k) = 6*k - 1 + 13 - 9*k. Determine x(f(z)).\nAnswer: -6*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 - 270. What is the closest to 4 in -61, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 14) in base 11?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1718, 2, -2, -6 in increasing order.\nAnswer: -1718, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 10 - 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 28\/39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b + 1. Let t(m) = 2*m**2 + 2*m + 2. Let n(d) = -2*t(d) + 3*z(d). Let g be n(2). Let i be (1 - 1)\/(g*(-1 - 0)). Solve v = -i - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180881020 rounded to the nearest 1000000?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2.2, -5?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - 358*k**4\/5 - 5961*k**3\/5 + 16132*k**2\/5 - 5476*k\/5 = 0. What is k?\nAnswer: -37, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2 = -3*p. Let z be -39*(p + 0\/(-4)). Suppose 3*d - 56 = -5*t, -5*t + z = 4*d - 2*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j = 48*j + a - 1839, -2*j + a = -730. Calculate the remainder when 702 is divided by j.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 58188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 18 = -4*x + 2*b, 4*x - b + 23 = 0. Let t(c) = 4*c**2 - 21*c - 44. Let j be t(7). Sort j, x, -5 in descending order.\nAnswer: j, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 6*n + 3. Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2688 is divided by 861.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366038799.956725 - 465569283.32871687. Let a = d - -99529968.372. Let x = -515 - a. Round x to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92\/7*d + 4\/7*d**2 + 64.\nAnswer: 4*(d + 7)*(d + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c + 25*c + 34*c.\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 1, -844, -2, 3 in decreasing order.\nAnswer: 8, 3, 1, -2, -3, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*r**3 + 2*o*r**2 - 113*r**3 - 227*r**2 wrt r.\nAnswer: -12*o - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-2\/57)*(w\/((((w**(-1\/4)\/w)\/w)\/w)\/w))\/(w**(12\/11)*w))**24 assuming w is positive.\nAnswer: w**(110570\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) 2.5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95295829 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1880814023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and (8\/1440*18)\/((-4034)\/55).\nAnswer: 16136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699332 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 k(d) = -11*d + 2433. Let m(g) = 81*g**2 - 3*g - 2. Give k(m(c)).\nAnswer: -891*c**2 + 33*c + 2455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 33 = -4*o, -o + o - 85*a = -o - 11*a - 368 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140\/12 + 2\/6. Solve -h*o**4 - 3*o**5 + 14*o**4 - 8*o**4 + 6*o**5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.2. Suppose 2*t = -4 - 2, 0 = -5*u - t - 13. Let j be 4\/12 - (0 - u\/(-3)). Put j, c, 0 in increasing order.\nAnswer: 0, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 5695*y**2 - 404010*y.\nAnswer: 5*y*(y - 67)*(y + 1206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k + 39. Let p = k - -14. Let r(o) = -p + 3 + o - 2. Let u(x) = x**2. Give r(u(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 11*q**2 - 9*q + 12. Suppose 0 = -2*v + h + 23, -4*h + 3*h - 13 = -v. Calculate the remainder when 60 is divided by i(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**33\/((r\/r**26*r)\/r*r*r) assuming r is positive.\nAnswer: r**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 10 = 20*v. Let o(n) = -2*n + 1. Let g be o(-1). Suppose g*h - 24 = 36. Solve 4*u = -v*j + 10, -h = -4*j + 2*u + 2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b + 4*f, -4*b = -3*b - 2*f + 4. Let p be ((-1)\/b)\/(4\/24). Suppose -j - p*j + 235 = -3*y, -3*j - 4*y + 145 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**3 + 26*c - 143. Calculate t(0).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-9 - -15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2762, -2760, -2746, -2714, -2658, -2572, -2450?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let c(b) = 532*b**2 - 6*b - 6. Let n(u) = 1076*u**2 - 11*u - 11. Let f(p) = 11*c(p) - 6*n(p). Calculate f(a(y)).\nAnswer: -604*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = 3*h - 460. What is the remainder when 57 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90888*h - 3453 wrt h?\nAnswer: -90888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 860?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:04 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqrriierqqirt. Give prob of sequence qlqe.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-4)\/p)\/p)*(p**(-1)\/p)\/p)\/(p**(-1)\/p)**(-24\/7))\/(p**(3\/2)*p**(1\/2)*p**(-3\/4)\/p*(p\/(p\/(p*p*p**(1\/4))))\/p) assuming p is positive.\nAnswer: p**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8453.\nAnswer: 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 129*j**2 + 67*j - 194. Let a be k(64). Let u be (-1)\/(-2) + (-11)\/(-2). What is the remainder when 46 is divided by u*(-1)\/4 - 35\/a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18808, 35506, 52204, 68902, 85600, 102298?\nAnswer: 118996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -13. What is the remainder when s is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*r + 15 = -28, 0 = -5*i - 2*r + 62. Suppose -9*a + 24 + i = 0. Let x(p) = 2*p**2 - 4*p - 1. What is the remainder when 87 is divided by x(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1170\/(-1365))\/(66\/(-14))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 103, 166, 257, 388, 571?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/9 - v**2\/9 - 548*v\/3 - 364 = 0. Calculate v.\nAnswer: -39, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -432?\nAnswer: -42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/3)*i*i\/i**(2\/7))\/((i*i**3*i)\/(i\/(i\/(i*i**(-6\/7))))) assuming i is positive.\nAnswer: i**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-152))\/((-8)\/(-2)*(-13)\/26)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 4 - (-6 - (3 - 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.3 (c) 1 (d) 243 (e) -0.3 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-9)*144\/(-168)*(-9)\/(180\/8).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1716666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2970030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 7*w**4 - 89*w**2 - 2*w**4 + 6*w - 2 + 87*w**2 in the form o*w + r*w**2 + c*w**4 + h + n*w**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 665714.8 millilitres?\nAnswer: 665.7148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21518210 divided by -146\nAnswer: -147385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-1 + 3 + -2). Suppose 4*j + 6 = 2*j, d = -3*c + j + 15. Suppose 3*z = c*g - 16, -5*z = -0*z. Solve g*a = -2*b - 12, -28 = -4*b + 5*a - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 39893*n + 61011900.\nAnswer: (n + 1593)*(n + 38300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a*z**5 + a*z**3 - 2*a*z - 83*a + 26*z**5 + z wrt z?\nAnswer: -160*a*z**3 + 6*a*z + 520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50748 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(5\/2))\/o)\/(o*o*o*o*o**(1\/11)*o)*(o\/(o**(-1\/12)*o)*o)\/(o**0*o))**25 assuming o is positive.\nAnswer: o**(-24775\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66d85 (base 15) to base 12.\nAnswer: 139322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*z + 21 = -5, 3*z + 19 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26\/5 + -277\/60. Let f(t) be the second derivative of -1\/6*t**3 + 7\/2*t**2 + 0 + 3*t + k*t**4 - 1\/20*t**5. What is f(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 10*u - 33, -105 = -3*w + u - 117 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718 is divided by 415.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001110000 + -11?\nAnswer: 1010001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*m, -5*m = 3*p + p - 5. Suppose m*x - 16 + 11 = 0. Suppose 3*w + 5*l = 19, w = 3*l - 1 - 2. Sort 0, w, x in decreasing order.\nAnswer: w, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -21*c - 5. Let a(s) = 136*s + 32. Suppose 12*z - 20*z - 256 = 0. Calculate z*y(i) - 5*a(i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 19*i - 69, -206*w + 211*w - 3*i - 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 181743*b - 1090374. What is l(6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((-20)\/(-30))\/((-6)\/(-30) - 286\/930). Let -2\/5*q**5 + 68\/5*q**2 - 46\/5*q - 48\/5*q**3 + 12\/5 + d*q**4 = 0. Calculate q.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1) + -2)*2. Let l be (-9)\/7 - x\/7. Let z = 142\/9 - 16. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4980?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/5))**(2\/45)*(m\/(m**(-5\/6)\/m))**(18\/7) assuming m is positive.\nAnswer: m**(11573\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)\/(-2*sqrt(2)))\/sqrt(2).\nAnswer: -2 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5164*w**2 + 5164*w**2 + 10149*w**4 - 136 + 136)*(3 - 3 - 1).\nAnswer: -10149*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10) - (-72)\/5 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4498 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17962*p + 139. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 296333 and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, -19, -4 in decreasing order.\nAnswer: 5, 1\/4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from kkapaabbkk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 13*u + 3735 = 12795. Calculate the remainder when u is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*m + 2 + 40 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 22*i - 216. Let d(h) = -h**2 + 21*h - 50. Let t be d(i). Is 6 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 + -0.726. Round s to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7047.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-18)\/8)\/(-9))\/((-56)\/32). Put -4, l, 1, -7 in descending order.\nAnswer: 1, l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -30. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Suppose 13 = 2*h + 3*y, -3*y = h - 3*h - 5. Let a be s(h). Suppose -4*p - 3*k = 0, 4*p = 2*p - 3*k - 6. Put -5, a, p in descending order.\nAnswer: a, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168277752 and 20853.\nAnswer: 1177944264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/360 + t**4\/72 + t**2. Let f(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18400 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (3 - (-4)\/(-6)*6). Suppose 11*o = 9*o + 134. Let i(n) = -29*n + o*n - 6 - 37*n. What is i(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -96*((-4)\/24 + (-2)\/6). Let c be -15*(46\/(-20) - (-3)\/2). What is the greatest common factor of c and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5227, 5238, 5251, 5266, 5283?\n\"Answer: m**2 + 8*m + 5218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993*q + 158*q - 696*q - 1870*q - 178*q.\nAnswer: -3579*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/15 + -99 + 108\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 3, o: 5, k: 3, q: 1, x: 2}. What is prob of picking 3 k and 1 x?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136464245.\nAnswer: 5, 27292849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -51 + (403 - 370 - 55).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, d: 1, v: 2, g: 2, u: 3}. What is prob of picking 1 d and 2 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68192.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19233 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 14*i**2 + 71*i - 6. Calculate h(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -8\/7407097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -48. Let k be (1 - (-15)\/(-9))\/(3\/y). Is k <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 - 1867*g**2. Let z(n) = 5*n**2 + 109. What is z(k(h))?\nAnswer: 5*h**4 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -65. Suppose 0 = r - w*r - 72. What are the prime factors of 2 + (3 - -1) + r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 2\/5 (b) -0.1 (c) 3200.91 (d) -4\/9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p + 32. Calculate the common denominator of 9\/((-90)\/56) + -4 and (38\/8)\/(22\/p).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*s + 58, 2*n = -s + 3535. Calculate the highest common factor of 416 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31888 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: Does 3 = 806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -448, -628, -776, -886?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79195813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 - -0.2499949. Round k to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172351 (base 8) to base 4.\nAnswer: -33103221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 7)*(61 + 39 - 98 - 37*j) to o*j + u and give o.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.5 - -32. Let q = -0.50043 - m. What is q rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(2\/7)*b))\/b)**30\/(b**(1\/2))**0)**19 assuming b is positive.\nAnswer: b**(-5130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((378\/(-4))\/7)\/(5 + 385\/(-66)). Does w = -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 43*a**2 + 1262*a + 131. Let i be w(-63). Let -4\/3*b**i - 20\/3*b**3 + 0*b - 10\/3*b**2 - 5*b**4 + 1\/3 = 0. Calculate b.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7*w**5 - 2\/7*w + 0 + 2\/7*w**2 + 18\/7*w**3 + 22\/7*w**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 31 = 4*k + 8, 11 = -2*m + k. Which is the second biggest value? (a) -2 (b) m (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*h - 9, 2*h = 6*g - g - 6. Let q be 3 - (1 + (0 - 3)). Suppose q*k - 3*k = g. Is k greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2567265042 take away -0.09095?\nAnswer: -2567265041.90905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(2 + 8)*-5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 300734*c**2 + 1202960*c + 1202968 = 0. What is c?\nAnswer: -2, 150371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 55*r + 367. What is the remainder when s(28) is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.11, -1\/4, -3, -3\/23, 3, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -67*g - 411. Calculate d(-5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1404 and 7145820.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*a - 144867 = 402295. What are the prime factors of a?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 88, 181, 306?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*-10*(-6)\/(-120).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from {h: 7, c: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 18*g - 5. What are the prime factors of s(-14)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81542882 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 0.5, 2\/117?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 897.\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -10, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 865337089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 - 405. What is the third biggest value in u, -5, 0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from zjhiztjjizihnh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 60*i + 3*i**2 - i**3 - 29*i - 34*i to b*i**2 + k*i**3 + g*i**4 + y + u*i and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r - 47*r + 149*r**3 - 2*r**2 + 19*r + r**4 in the form q + f*r**4 + m*r + j*r**2 + o*r**3 and give o.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 + 12*p + 16. Calculate w(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2346 + -2345.994691. What is f rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8498 - 2395. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p - 145. Determine a(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -46923\nAnswer: -5\/46923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7184 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 2*j**4 + 0*j**2)*(-29745*j - 1638*j + 12032*j).\nAnswer: 38702*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635090 is divided by 5289.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 6. Let y be k(-6). Let b be 13\/(1\/(y + 1)). Let i be (-104)\/(-3)*1*(-3)\/(-2). Calculate the highest common divisor of i and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 148.8. Let h = q - 33. Put 1, 7, h in descending order.\nAnswer: 7, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20495547 and 117.\nAnswer: 266442111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*a + 21, 43 = a + 48. Solve -r*y = 10, -4*m - 4*y = -y + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -11, -8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 4*x - 13, -7 = 5*k - 2*x. Let s(v) = -v**3 - 2*v**2 - 1. What is the units digit of s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491076 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 7, -7, -591, -3?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000164868 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 + 475. Let a(s) = s**2 - 2*s. Let y be a(2). Suppose y*u + 3*u = i. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-92 - 92 + 316)*(-5 + 5*z + 5).\nAnswer: -1320*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 26 = 46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2129.262 + 2116.5. What is x rounded to 1 decimal place?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*n = c - 214*n + 36, -28*n + 56 = 0 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017965 divided by 2?\nAnswer: 2017965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1393944 and 381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*z + 34, -30181*k + 30196*k = 3*z + 33 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-2 + 1 - 0). Let h = 2250 + -308248\/137. Let x = -260\/959 - h. Which is the biggest value? (a) -4\/7 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -k - 4, -k + 5*p - 7 = 7. Let v(z) = z + 9. Let a be v(k). Let s be (-4)\/16 - (87\/(-12) + -3). Solve 2*d - 2 = d - 3*m, -d + 5*m + s = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 54*m - 1. Let h = -38 + 44. Suppose -g + 6 = 2*a - 5, a = -g + h. What are the prime factors of y(g)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 51409*r**4\/4 + 2*r**3\/3 - r**2 - 2*r + 3. Let q be j(-4). Let b = q - -1690138. Round b to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8039423*y + 1481370 wrt y.\nAnswer: -8039423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 200\/160. Let q(y) = 19*y. Determine q(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -311\/4. What is the closest to 2 in -0.1, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 67*l**2 - 4*l - 420. Calculate c(22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847435859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 31*m**2 - 10*m - 19. Let c(a) = 15*a**2 - 5*a - 9. Let f(s) = 5*c(s) - 2*o(s). Is f(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 325829.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -11. Let u = 11.997 - -0.003. Let b = u + -9. Sort k, 0.4, b in ascending order.\nAnswer: k, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 85. Suppose -485 = w*y - 11660. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**12)\/j**(-3)*j**(-2\/47)\/j**7 assuming j is positive.\nAnswer: j**(421\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6680 = 17*c + 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*k - 63, -6*c - 2*k + 90 = -2*c. What is the highest common factor of 192 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 42 + 308. Let x(n) = -149*n + 76*n + 0 + 1 + g*n. Give x(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3162259249 to the nearest integer?\nAnswer: 56234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -30*r + 2. Let l = -42647\/712 - -479\/8. What is the nearest to 0 in -3, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/10 - 2\/12*3. Factor 389 + v*a**3 + 3*a**4 - 3*a**5 - 389.\nAnswer: -3*a**3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83328 and 1519?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 935388.027 microseconds?\nAnswer: 0.0000015466071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532.616 * -18.\nAnswer: -9587.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 + 29*a + 30. Determine k(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38720, 77433, 116146, 154859, 193572?\n\"Answer: 38713*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**3 - 11*p**2 - 11*p - 11. Let n be -22*((-15)\/6)\/(-5). Let q(c) = -3*c**3 + 6*c**2 + 6*c + 6. Let o be 1\/(-3 + 153\/54). What is n*q(i) + o*b(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/163392 and -71\/31142?\nAnswer: 110616384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 825 = 0. Let c be (-2)\/(-25) + 1211260\/3000 - 2\/(-12). Let u = c - r. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o. Let w be z(-1). Suppose 10*x + 53*x + 187*x = 500. Sort 3, -2, w, x in ascending order.\nAnswer: -2, w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 166 - 781. Suppose 5*r - 11 = -3*k + 88, 3*k - 3*r = z. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18722220 divided by -1493\nAnswer: 12540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64572687 and 148365.\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -801\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.48731 to one dp.\nAnswer: 51.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/385?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - -2) + -2)*4. Solve -i = n*d - 15, -3*i + 8*i = 3*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726273701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 - 8*c**3 + 3*c**2 + 8*c - 7*c**2 + 3*c**4 = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3407867750 rounded to the nearest one million?\nAnswer: -3408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*k*n**3 + 2*k*n**2 + 48899*k*n + 31*n**3 - 6*n**2 + 8*n wrt n.\nAnswer: -558*k*n + 4*k + 186*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4\/2 + 5*d**3\/4 - 15*d**2\/4 + 1 = 0.\nAnswer: -2, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 56 + 13)*(d + d - d).\nAnswer: -113*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/69598 and -57\/71530.\nAnswer: 108224890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -332939 or -333079?\nAnswer: -332939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029189821 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1131650, 2263200, 3394750, 4526300, 5657850?\n\"Answer: 1131550*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116.046 - 116. Let n = i + 3.954. Which is the closest to 1? (a) -0.1 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4432 + -26455\/6. Calculate the common denominator of (-1175)\/60 - 20\/16 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/20 + -7 - (-300207)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/20 - (-9 - -9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17 - 588*l**5 + 29 - 12 - 189*l**2 + 485*l**2 wrt l?\nAnswer: -35280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Factor -184*z - 2*z**2 + z**u + 184*z.\nAnswer: z**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*t**2 - 8324*t + 17528 = 0 for t.\nAnswer: -2191\/55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.8634km to millimeters.\nAnswer: 89863400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - 11 - (-28 - (2 - 21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*t**(4\/5)*t*t))\/(t**14\/t) assuming t is positive.\nAnswer: t**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284406402*s**2 + 278195503 wrt s.\nAnswer: -568812804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22 - 2)\/4*(1 - -1). Let n(o) = o**3 - 10*o**2 + 1. Calculate n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 50 = -4*u, -u + 7 = -v - 1. Suppose 0*l - 10 = -5*l. Calculate the greatest common factor of u and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 1, g: 6, z: 11}. What is prob of picking 4 g?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(-4 + 0 + 0)*(2*q + 3 - 3) as b*q + w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914*r + 33073 + 4255 - 768 = 0 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39.99744 millilitres?\nAnswer: 0.03999744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 19, 5, -4\/3, 1\/4, 0.4 in descending order.\nAnswer: 19, 5, 0.4, 1\/4, 2\/11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.11096 - -1.02866. Let n = u - 0.0277. Let c = n - -0.11. Which is bigger: 1\/3 or c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {u: 2, d: 1, v: 5, c: 1, j: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 2, e: 1, g: 1, r: 2}. Give prob of picking 1 l, 1 e, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-2))\/(50\/3800*133)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 295, 289, 281, 271, 259?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2.2, 0.2, -79, -121?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3434950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26019 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 2043574972?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 832109677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*62.4.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133 - (181 - 47)) + 1 + -2 + 2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*s + 35 = 0, 37*j - 31 = 34*j + s for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 3*g**4 + 4*g**3 + 12*g**3 - 16*g**2.\nAnswer: -4*g**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -911768.\nAnswer: -1\/82888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**3 - 12*p**2 - 36*p - 18. Let d(a) = 26*a**3 + 37*a**2 + 108*a + 55. Let x(q) = -6*d(q) - 17*z(q). What is h in x(h) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16185, -9990, 329, 14766, 33315?\nAnswer: 55970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhpppwpw. What is prob of sequence hh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(275) + -1 + sqrt(55)\/(sqrt(10)\/(sqrt(2) + sqrt(4)\/sqrt(2)))))**2.\nAnswer: 28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 538, 474, 368, 220, 30, -202?\n\"Answer: -21*i**2 - i + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94715638777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*(t*t\/t**(1\/5))\/t)*t*t**18*t*t assuming t is positive.\nAnswer: t**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62004, -125167, -188330, -251493, -314656, -377819?\n\"Answer: -63163*i + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2179*j + 13*j**2 - 2179*j - 14*j**2 + 10*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 16*u - 4. Let z(t) = 2*t**u + 431*t - t**2 - 431*t. Let w(q) = -q + 1. Let y(k) = 9*k - 7. Let x(d) = -28*w(d) - 4*y(d). Determine x(z(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*b + 31884 = -286*b - 3060 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250275855*c**3 + 3818*c**2 + 38*c + 34 wrt c.\nAnswer: 1501655130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -221522 divided by 4\nAnswer: -110761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 29*y**2 + y + 1. Let l be k(1). Suppose a + a = -h + l, -5*h + 3*a + 220 = 0. Suppose 5*w - 1 - h = j, 6 = -3*j. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 4:06 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 1\/11, 0.01, 10662?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14799.\nAnswer: 3, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 32*q = -5*d - 72, d + 26*q - 25*q - 4 = 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 686, 1030, 1372, 1712, 2050, 2386?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 190 = -2. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -725, -686, -627, -554, -473, -390, -311?\n\"Answer: -t**3 + 16*t**2 - 2*t - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/v**(-8))\/v)*((v*v**(-12\/11)*v)\/v*v)\/v assuming v is positive.\nAnswer: v**(-78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 5*(sqrt(11) - sqrt(11)*1))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:03 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87027527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmj. What is prob of sequence mjm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 1. Let f(p) = 4*p + 12. Determine -f(j) - 2*y(j).\nAnswer: -2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 508 + 543. What are the prime factors of x?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/34)*k)\/k**6)**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3*27\/(-165)) + (-800)\/8800?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*a + 335, -4*b + 23 = -5*a - 249. Let j be 183\/2*14\/(-21). Is a greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7f0 (base 16) in base 3?\nAnswer: -2210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 106 = -4*i + 86, 0 = -2*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55368 times -0.4\nAnswer: -22147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 - g + 1. Calculate the remainder when 20\/6 + 1\/(-3) is divided by y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w**3 + 10*w**2 + 111*w - 145. Let m(u) = -4*u**3 + 3*u**2 + 28*u - 33. Let k(x) = -2*j(x) + 9*m(x). Determine k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793 is divided by 989?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-15))\/(8\/(-18)). Let o = -221\/55 - -42\/11. Let g be 2\/(-6*2\/(-8)). Which is the third smallest value? (a) u (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5830290 and -53\/9765?\nAnswer: 1265172930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.46, -2\/3, 54\/19.\nAnswer: -2.46, -2\/3, 54\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -123414 (base 5) to base 4\nAnswer: -1023323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqoq when four letters picked without replacement from oqqqqqqqoo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 44\/5 (b) 0.3 (c) -1\/4 (d) -234\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let a(x) = -12*x + 42. Calculate 3*a(g) - 126*j(g).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - a**3 + 2*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4009\/1 + -6 + 3. Let o(r) = 2 - 2 + 4004*r**2 - z*r**2. Let y(f) = -25*f. What is y(o(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6500586*b**2. Let z(f) = 2*f**2. What is o(z(p))?\nAnswer: 26002344*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adl when three letters picked without replacement from {l: 4, b: 2, t: 4, d: 3, a: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 - 134. Suppose -5*j = -0*j - 4*x - c, 4*j = -4*x + 88. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159.962 + 0.038. Let g = t - 161. Let n = -0.4 - -0.4. Is n smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 1\/4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6682 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -669*l. Let z(t) = 2*t**2 + 207*t. Give z(n(w)).\nAnswer: 895122*w**2 - 138483*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -721.9 + 717.101. Let a = -0.075 + -0.024. Let s = a - z. Round s to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/208)\/((-25)\/(-40)*(-6)\/(-1))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 1, y: 1, s: 2, g: 1, x: 1}. Give prob of sequence ssk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 851145*c**3 + c**2*t**2*y - 42*c**2*y - 22*c*t**2*y - 3*c*t + 2*c*y + 30479*t**2*y - t**2 wrt c?\nAnswer: 5106870*c + 2*t**2*y - 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1216)*-1 + sqrt(1216))*-1*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:16 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(2\/3)*s\/(s**(-3)\/s)*s*s\/(s*s**(-5))*s*(s**(-6)*s*s)\/s*(s\/(s\/s**(-5))*s**5)**17 assuming s is positive.\nAnswer: s**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 + 93. Let n = 86 + z. Let y = n - -42.54. Round y to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/51*36\/20. What is the third biggest value in 2\/3, f, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 557 - 557 + 22*w**2 as p*w + c + d*w**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1141641, 1141639, 1141637, 1141635?\n\"Answer: -2*p + 1141643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Let n(r) = -r**2 + 3*r**u - 2 - r**2 + 5. Calculate n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -20 - 4. What are the prime factors of (-1)\/(-3) - 188\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2851)\/(-9648) - (-2)\/9. Let m = d - -3\/67. Let a = 3078 + -55351\/18. What is the common denominator of a and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, -75, 349 in descending order.\nAnswer: 349, 3, 1, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/7 - 565794*r**2\/7 - 646677*r + 36778170\/7 = 0.\nAnswer: -13, 5, 188606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j + 29*j + 28*j)*(3 + 2*j + 4 - 6).\nAnswer: 66*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -368 in 0.5, 3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2cc4d (base 14) to base 5\nAnswer: 12042211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/865 + 12881\/12110. Calculate the common denominator of 73\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2758)\/42*-105 - 8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 75164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*z + 35. What is the common denominator of -33\/4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -49*c + 2. Let r(m) = -m**2 + 2*m. Give a(r(x)).\nAnswer: 49*x**2 - 98*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohozooooohhohooahha. What is prob of sequence aa?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7117268 is divided by 1779276?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**2. Let i(w) be the third derivative of 0*w**3 - 52*w**2 + 0*w + 0*w**4 + 1 + 1\/30*w**5. Determine p(i(f)).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -34\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298.679t in nanograms?\nAnswer: 2298679000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o + 639 = 126 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x*x)**32\/(x**(-2\/5)*x\/x**0) assuming x is positive.\nAnswer: x**(1111\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -1, -112?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 636852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246043078.\nAnswer: 2, 1459, 1455121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597313?\nAnswer: 29, 43, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x + 9 - 80*x**2 - 24 + 80*x**2 - 21. Let h(s) = s**3 + 5*s - 24. Determine -7*h(b) + 5*q(b).\nAnswer: -2*b**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.67 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f**2 + 0*f**3 + f - 6*f**3 - 8*f**3 + 13*f**3 - 13. Give x(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 3*g**3 + 3*g**3)*(-5*g + 0*g + 224*g**2 - 219*g**2).\nAnswer: -10*g**5 + 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, -6, -40, -96, -180, -298, -456, -660?\n\"Answer: -o**3 - 2*o**2 - 5*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72484 > 72480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-380)\/24 - 174\/1044 - (8 + -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z - 18. Suppose -37*l + 42*l = 120. What is the least common multiple of z and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.2 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 0.5021\nAnswer: -21.5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/9 (b) -6 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*w + 24*w + 2*w**2)*(-4 + 1 + 1080*w + 3136*w + 3) as v*w**2 + s + r*w + p*w**3 and give p.\nAnswer: 8432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -578.3?\nAnswer: -462.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 49781*f - 497815. Determine p(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 1. Let u be o(0). Let v(j) = 3*j**2 - 1. Let d be v(u). Put -3, d, -2 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 52*i + 317. Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*(-47017)\/3 - (-58)\/87?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be - -1b?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -68. Suppose -14*y = -p*y - 84. Differentiate -5 - y*d - 8*d + 23 wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:04 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1122)\/(-255))\/(12\/30)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (20 - 23) + (0 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*p - 24*p - 30*p - 24*p - 27*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:20 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -81*f**4\/4 - 22500*f**3 + 806487*f**2\/4 + 48693*f\/2 - 15120 = 0.\nAnswer: -1120, -1\/3, 2\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 898790803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/225 and -106\/105?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404 and 72922?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3318 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-351)\/(-13) + (-108)\/(-2 - 16).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/569 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1008 = 5*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-3))\/(-4 + (-20)\/(-8)). Let k be 1 + 20\/y - 58\/21. Is k at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000484497 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88 + (-2)\/(-2) + 1 + -2. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.3 - -27.9. What is the nearest to 0.1 in 0.5, u, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1514\/5 + -273. Let f = -38 - -8. Let i = t + f. Which is the second smallest value? (a) -3 (b) i (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 + 16.29. Let r = 13.7 - z. Let s = r - -4.3. What is the fourth biggest value in s, 2\/9, -0.3, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610194551?\nAnswer: 610194551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -19 + 1 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93, 189, 285, 381, 477, 573?\n\"Answer: 96*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 531\/15 + 2\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (132\/(-30) + 5)*-10. What is the units digit of (v\/(-9))\/((-4)\/(-3054))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 52 = -0*n. Let j = n + -9. Suppose 5*z - y = 48, j*z - 5*y + 2*y = 45. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*o + 2*o + 16, -2*o - 2 = 3*f. Let n = -27 + 31. Suppose -5 + n = -2*l + 3*k, -k + 28 = 5*l. What is the remainder when l is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -558.266 (b) -3 (c) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n - 3. Let l be p(-6). Let d be 6*(l\/(-1))\/9. Solve -m + 2 + 1 = d*t, 4*m + 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8550318 centuries in months?\nAnswer: 1026.03816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -198?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/73422153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 3258.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42239 - 134?\nAnswer: -42371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -aaa77 (base 16) in base 11?\nAnswer: -438194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1 + 4*t**2 - 7 + 3*t**2 - 7*t**3 + 2*t. Let u(s) = -15*s**3 + 15*s**2 + 4*s - 13. Suppose 0 = 4*h - 7*h + 18. Calculate h*u(y) - 13*a(y).\nAnswer: y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 23, 3, -4 in descending order.\nAnswer: 23, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 2. Let w be l(-1). Suppose w*b - 3*b = 106. Suppose 0 = c - b - 342. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.3. Let i = -0.6 - k. Which is the second smallest value? (a) 3 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**3 + 4*y**2 - 5*y + 4. Let u be r(3). Is (-36211)\/u - (-2)\/10 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 6. Let v be z(2). Suppose d = -d + v. Sort d, 5, 4 in descending order.\nAnswer: 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -7*i - 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feee when four letters picked without replacement from {f: 1, x: 9, e: 10}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) 0 (b) 2 (c) -0.4 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiioovovoooovvvix. What is prob of sequence ox?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 7.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 10*f = 0. Suppose h - 6*h + 60 = f. Suppose -104 = -4*l + h. What is the common denominator of l and 38\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850390.7 rounded to the nearest 1000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12 + 0*y - 3*y.\nAnswer: -3*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g**2 - 66*g**3 + 190*g**2 + 200*g**2 - 4*g**4 + 21*g**2 + 82*g**3 = 0 for g.\nAnswer: -8, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -51, -72, -101, -138?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**10\/(k**2\/k))\/(k**(11\/2))**(2\/33))**(-3\/10) assuming k is positive.\nAnswer: k**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3395, -3908, -4471, -5090, -5771, -6520, -7343?\n\"Answer: -n**3 - 19*n**2 - 449*n - 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37810 - 37808. Let w = -193.9 + 203. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 8*r**2 + 8*r + 8. Let n(o) = -o**3 + o**2 - o - 1. What is 5*j(t) + 40*n(t)?\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -17*t**3 + 21*t**2 + 11*t + 11. Suppose -z + 33 = -4*z - 0*z. Let s(h) = 6*h**3 - 7*h**2 - 4*h - 4. Give z*s(f) - 4*l(f).\nAnswer: 2*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l. Let g(s) = -s - 1. Let o(j) = -g(j) - u(j). List the prime factors of o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0126365 - 0.0118.\nAnswer: -0.0244365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 4) to base 9.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 5. Let b be o(3). Let x be 2*-1 + 4\/4. Let g be (1 - (2 + x))\/(-1). Solve -b*f + 3*f + 1 = g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(5\/(-15)*-6). Solve 3*b = -2*b - 3*h + j, 4*b = 4*h - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12821 and -33.18?\nAnswer: -425400.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4543 + -697. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let d be n(1). Let y = -387 - -734. Let w = 346.7 - y. Which is the closest to 3? (a) w (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1961797 and -101\/18.\nAnswer: 35312346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + -2) - (31 - 32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 58. Let y(n) = 2*n**3 + 37*n**2 - 19*n + 8. Suppose 4*g + 4*l + 16 + 60 = 0, -l = 2*g + 38. Calculate the smallest common multiple of m and y(g).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.951 - 0.049. Which is the closest to 2? (a) y (b) -0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (12 + -6)) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-24 - 7*g + 24)*(-4*g - 3 + 3) + 3*g**2 - 2*g + 2*g in the form a*g**2 + o + d*g and give a.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13485312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {n: 5, r: 2, o: 2, m: 1, w: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:06 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 24435 = -5395. What is the greatest common divisor of 2856 and j?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 33*x**2. Let u(p) = 3*p + 25. Determine u(v(c)).\nAnswer: 3*c + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 29*w = 3, -3*a = 25*w - 29*w - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 - 997451\/(-154). Let r = -6472 + a. Calculate the common denominator of r and -34\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 94*m + 504. Calculate h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 + -3 + 0 - -2) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j + 20 = 4*c, -2*c - j + 4 = 0. What is the closest to 6 in 2\/5, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.829445 milliseconds in hours?\nAnswer: 0.0000013415125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -5, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18835633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49 (b) -2 (c) 2\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5)*2 + sqrt(5) + sqrt(5)) + 4 + (sqrt(5) - sqrt(605)) - -2*(sqrt(80)*5 + sqrt(5) + -4))**2.\nAnswer: -258*sqrt(5) + 83461\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 11*s**2 - 16*s - 37. Let c be j(-10). Suppose -15*l - 144 = -c*l. Solve 0 = 8*g + l + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -13*t - 2246. Suppose -6*y = -3*y + 927. Let z = t - y. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 1 = -10*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*x + 3184 = 0, 5*d + 3561 = 4*x + 11524. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812505 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n + 6. Let v be x(-7). Let d(r) be the first derivative of -7*r**2\/2 - r + 31. Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/32*(3808\/(-24))\/(-7) and 1\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 4, l: 1, w: 2, m: 3}. Give prob of sequence slsm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -933 + 930. Let y be 2\/(-3) + 157738\/f. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*c + 251 = -4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.95 and 28336.\nAnswer: -225271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/1*-40*9\/(-288).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooqooooqqoooooooo. What is prob of picking 1 o and 1 q?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 9. Suppose 4*x - 4*u = 8, -5*u - 5 = 2*x - 2. What is the closest to x in -1, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 254*x\/3.\nAnswer: 2*x*(x - 127)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59349*a**5 + 37973*a**2 wrt a?\nAnswer: 3560940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162.86 - -163. Let k = b + 0.074. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15, 0*q - 3*j = -3*q + 3. Let n(u) = -u**2 + 4*u + 4. Let y be n(q). Let v(l) = -4*l + 19. Let p be v(4). Solve p*d + 1 = y*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101111202110 (base 3) to base 4\nAnswer: -2310033330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51058 or 51046?\nAnswer: 51058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 - 3530*l + 3528 = 0?\nAnswer: 1, 1764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/1113)\/((-11)\/(-1078))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -849603, -1699209, -2548815, -3398421, -4248027, -5097633?\n\"Answer: -849606*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/21 - 3354\/2100. Let s = 6\/25 + g. Let p = -10 + 5. Which is the closest to s? (a) -0.2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**9\/15120 + i**6\/360 + i**5\/15 + 2*i**2. Let t(c) be the third derivative of k(c). Differentiate t(x) with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116706 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:43 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - -1?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 7635800.\nAnswer: 83993800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1903 = -7*i + 1917. Solve -u = i*v - 6, 8*v + 3*u = 4*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 + g - 3*g + 0*g + g. Determine i(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*9)\/((-120)\/64*4).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8060*u - 2. Let z be a(-5). Suppose 0 = 5*j - z - 9702. What is j rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c**2 - 54. Let n(q) = -16*q**2 + 56. Give 3*l(a) + 4*n(a).\nAnswer: -4*a**2 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - 6 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*p + 13, -3*p + 2 = -4*d + 41. List the prime factors of -2*(3\/d + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.6844.\nAnswer: -0.20532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/7 + 40\/(-140). Is 33 a factor of (y + -590)\/(-3) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 1 + 0)*(0 + 0 + 3)*(2*f - 2*f + 2*f**2) to the form q*f + p*f**2 + j and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 9*v**3 + 0*v**3)*(-5 + 5 - 5*v)*(4 - 3 - 3).\nAnswer: -40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160725)\/(-4135990)*1\/(-30)*-4?\nAnswer: 1\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -166 (c) -15\/13 (d) -4 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137559 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -29, -4, -0.02?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340811*l + 13*l**3 + 20 - 54 + 34 + 340811*l.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by 72?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3156 + -3153. Which is the third smallest value? (a) -4 (b) s (c) 4 (d) 2\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5158\/7, -0.3, -34.\nAnswer: -34, -0.3, 5158\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6, -2.5499, -2, 0, 5?\nAnswer: -2.5499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 395*g**4 - 2*g**2*z + 11*g*z - 5*z - 481 wrt g?\nAnswer: 1580*g**3 - 4*g*z + 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79\/4? (a) 1\/4 (b) -0.02 (c) 49 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (116*p + 48*p - 3*p)*(0 + 3*p**2 + 0)*(-3*p + 0*p + 5*p) in the form n*p**4 + d*p**2 + o*p**3 + s*p + q and give n.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 8*f - 21 + (-549 + 367 - 1859)*((1 + f - 1)*(-5 + 4 + 0) - f + 2 - 2 - 2*f - f + f + 0*f + 0*f - 2*f) to the form t*f + g and give t.\nAnswer: 12238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 43059 = 5484. Is (-3 + 30\/9)*y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -16. Suppose 18 = 4*g + 2*k + c, -3*k + 3 = 0. Suppose g*m + 149 = 5*y + 2*m, -4*y + 123 = 3*m. What is the remainder when 58 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 1. Let o be v(15). Suppose -o*n = -22*n. Suppose n*z + 4*z - 5*b - 80 = 0, 100 = 5*z - 4*b. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4966*j = 2*o + 4962*j + 30, 0 = -12*o + 4*j - 120 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -23, -26, -29, -32?\n\"Answer: -3*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 8*m**7\/105 + 2*m**6\/5 + 13*m**5\/15 + m**4 + 2*m**3\/3 + 3*m**2 + 2*m. Let a(w) = 0. What is w?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -l + 4*l. Suppose -4*v + l = -0*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 42\/11, 9, 4, 2.1, -157?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 10102212?\nAnswer: -10102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95247.78t to micrograms.\nAnswer: 95247780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 207 (b) 22331 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 4) in base 16?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v - 20. Let h be (-95)\/v - (-2)\/8. Suppose 0 = -3*f - 2*d - 1, -5*f + d + 2 - 21 = 0. Sort f, -4, h in increasing order.\nAnswer: -4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 621 - 620.29. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 61*f**2 + 4*f. Let r(l) = 61*l**2 + 5*l. What is 6*r(q) - 7*z(q)?\nAnswer: -61*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvyvvgkvvvkvyvvyovg. Give prob of picking 1 o, 1 v, 1 k, and 1 g.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 6*i**3 + 7*i**3 - 2*i**2 - 16*i**3 + 6*i**3 - 3. Calculate the lowest common multiple of n(3) and (-3 - 12)*15\/(-25).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 96, -41 in decreasing order.\nAnswer: 96, -23, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 + 10*f - 6*f**3 + 76589 - 76591 - 8*f in the form m + i*f + h*f**2 + u*f**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128 - 4\/(-2 + 4). Let g = b + -74. Let r = 83 - g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 6:15 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1122184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44107*(-2)\/7*(-12 + 92\/8). Is b equal to 6301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 106 - 44 + 20*k + 157 + 4.\nAnswer: 20*k + 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/4, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/113 > -2\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1789256 + -12.5773.\nAnswer: -12.3983744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + a**2 + 3*a**4 + (-4 + 4 + a**2)*(-5*a**2 + 5*a**2 - a**2).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1484.\nAnswer: -1\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4366 and -89\/148444.\nAnswer: 148444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 + -364 - (161 + -12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**3 - 16*u**2 + 4*u. Let p(d) = d**3 + d**2 + d. Determine -4*p(v) + q(v).\nAnswer: 5*v**3 - 20*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 6*z)*(1 + 2 - 1)*(9 + 4 + 10)*(7*z + 8*z**2 - 7*z).\nAnswer: 736*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:48 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 24. Suppose 78 = 203*v - 177*v. Calculate y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(19)*-1 - sqrt(19)) + ((sqrt(19)*-4 - sqrt(19) - sqrt(19)) + 2 + sqrt(19) - sqrt(19)))**2 - (4*(sqrt(475))**2 + sqrt(190)\/(sqrt(50)\/sqrt(5))).\nAnswer: -680 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 - 17 = 0. Let q = 0.09 + -7.09. Let y = 16 + q. Put p, -2, y in ascending order.\nAnswer: p, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylly when four letters picked without replacement from ylllylyyly.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddkkdkkdkk. Give prob of sequence dkdd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 45 = -2*r. Let z(i) = i**2 + 10*i - 6. Let j be z(r). Is -13 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 1) + (80 - 56) - (-6 - 54)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (9 - 5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 - 475*o + 475. Let l be c(1). Let t be (-1)\/(-2)*8\/(-2). Sort t, l, -4, 5 in decreasing order.\nAnswer: 5, l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 36*g**2 + 13*g - 76. Is 86 a factor of h(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51834 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9824 is divided by 266.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62663233961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414 and 756.\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 + -2203?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -29. Let w(x) = p*x - 5*x - 3*x. Let g(l) be the third derivative of -l**5\/15 - l**2. Calculate g(w(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -27, -23, -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (229 + -9 - -17)\/(-3 + 1530\/507).\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46971 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145.2 + -133. Let c = y + -73.2. Let d = 88 + c. Is -1\/4 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 3*r**2 - r - 5. Let t be m(-3). Let f = 3\/37 + 765\/148. Find the common denominator of f and 0 - t - 131\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 + 589196*c**2 - 1178398*c + 589200 = 0?\nAnswer: -294600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 199652\/(-3834) + 36\/486?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 12 - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42092 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -17 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6759448t to grams.\nAnswer: 675944.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140375*n**3 + 83455*n.\nAnswer: -842250*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4\/3 + 50*l**3 - 625*l**2 + 5000*l\/3.\nAnswer: 5*l*(l - 5)**2*(l + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5207 = 53*n + 172. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6598.\nAnswer: 1\/3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -c. Let m(t) = t**c + 2*t**2 - 2*t**2 - 5 - 2*t. Let y be m(5). Solve -n + y = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/20)\/((-16)\/520)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24051a6 + 3?\nAnswer: -24051a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -121, 54, 4, 5, -1 in increasing order.\nAnswer: -121, -4, -1, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2706, -5, -3\/5, 5, 2, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3994818417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61512.11l in millilitres?\nAnswer: 61512110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*u = -a - 29, -u = 4*a - 20. Suppose p = -p + u. Differentiate -1 - 1 + p*k**3 - 5*k**3 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088143 is divided by 2707.\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 123 - (-44 - (-70 + 19))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 - 6. Let x be y(2). Let g = 8 + x. What is the greatest common divisor of g and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {t: 13, w: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1558 - 1557. What is the least common multiple of 105 and s?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(2\/7))))\/g**(-2\/5))\/(g**5*g\/((g*(g*g\/g**(2\/5))\/g*g)\/g)) assuming g is positive.\nAnswer: g**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86833\/87648 - 18\/913. Find the common denominator of -137\/24 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8608 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: Simplify sqrt(51)\/((sqrt(108)\/sqrt(3))\/sqrt(12)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.43 - 1.468. Does 28 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y - 3. Calculate t(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + c**2 - 1. Let u be s(1). Let n be 2\/4 - (-62)\/4. Suppose -n + 0 = -4*b. Solve -u*a - 7 = -5*a + 3*t, t - 21 = -b*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1300705, -2601363, -3902021, -5202679?\n\"Answer: -1300658*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 1 - 1 + 6*k)*(2*k**3 + k - k).\nAnswer: 4*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -86a6 (base 15) to base 4\nAnswer: -12331122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16549.99977472 - 16550. Round f to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2. Let a(j) = -2*j**2 + 477 + 41*j - 477. Calculate c(a(y)).\nAnswer: 16*y**4 - 656*y**3 + 6724*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4295 - 4298 + 0*f + 5*f - 3*f**2 + 0*f. Suppose -4 = 2*n - 10. Determine s(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + -2 + (-18 + 11 - (6 - 2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -97. Let k be (-2 - -5) + (-40)\/15. What is the nearest to k in s, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/30 + x**2 - 2*x. Let r(f) be the first derivative of m(f). Let d(n) = -4*n**2. Calculate d(r(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*o = -22, 0 = -4*f - 4*o + 19 + 13. Solve -v - 2*q - f = 0, 14 = -3*v + 4*q + 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 985*i + 52. Let h(y) = 1971*y + 120. What is -3*h(a) + 7*n(a)?\nAnswer: 982*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 233063868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8708284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -561351.4 times -11?\nAnswer: 6174865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2182, 2177, 2160, 2125, 2066, 1977, 1852?\nAnswer: 1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -667.8 - -3424.8. Let z = p - 2817.48. Let u = z - -59. Round u to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*((-38)\/(-456))\/((-7)\/63)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/24)\/(34153\/(-1722)). Factor 0*x + 2\/17 - c*x**2.\nAnswer: -2*(x - 1)*(x + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 94\/91, -4, -1\/16, 44 in descending order.\nAnswer: 44, 94\/91, 0.1, -1\/16, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1287, -2618, -3993, -5424, -6923, -8502, -10173, -11948?\nAnswer: -13839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -72*v**3 + 3*v**2 + 63*v + 54. Let k(d) = 121*d**3 - 7*d**2 - 126*d - 108. Let q(x) = -3*k(x) - 5*y(x). Determine i, given that q(i) = 0.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**3 - g**2 + 2*g + 2. Let m be v(-1). Put -16, 5, m in ascending order.\nAnswer: -16, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -368 and -217.\nAnswer: 79856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 409, 438, 467, 496?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p**(-13)*(p*p\/p**(-5))\/((p\/p**2)\/p) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -695, 1, 2, -74, 0 in decreasing order.\nAnswer: 2, 1, 0, -3, -74, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 9*i + 33*i = -351 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 19. Let g be k(-24). Let x be g\/(-2 + 6 + -5). Does 31 divide 214 + (-10)\/x + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)**22*((r**(-2\/23)\/r*r)\/r)\/r**(-3\/4) assuming r is positive.\nAnswer: r**(-31\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 2:25 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -11820 (b) -114 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millennium in decades?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*l**3\/5 + 39*l**2\/5 + 39*l\/5 - 12\/5.\nAnswer: -3*(l - 4)*(l + 1)*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oti when three letters picked without replacement from {p: 2, i: 5, f: 1, t: 1, o: 1, c: 3}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 14) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 2*s - 5*s)*(-22 - 7 + 3) - s + 1 - 1.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0 + 2*k + 1 + 3. Let j be v(-4). Let g be (-57)\/(-126) + j\/14. Which is the second biggest value? (a) g (b) 2\/5 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 4*s + 3. Let x(p) = 2*p**2 - 4*p - 5. Let k be x(4). What is the smallest common multiple of a(2) and 44\/k - -1*(3 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94199281.\nAnswer: 11, 8563571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -38, -13, 12, 37, 62?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Let v(n) = n + 11. Let k be v(-8). Let t be 45\/27 + 1\/3. Let g(a) = 0*a**2 + 2*a**2 - a**t. Determine k*h(j) + g(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -33*z - 5. Let q be j(8). Let l = 704 - 142. Let s = l + q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-32)\/(-56) + 10635\/(-18501)). Let g = 29 - n. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14105, 14192, 14367, 14654, 15077, 15660?\nAnswer: 16427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 869*m - 85*m + 1660*m - 239768 - 19296 for m.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhuwmuhuu. Give prob of sequence wwwm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 7. Let v(q) = -3. Let j(o) = 15. Let m(l) = -5*j(l) - 24*v(l). Suppose 0 = 18*r - 36 - 0. Determine r*h(s) + 5*m(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 at most 854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 4*g - 8 + (0 + 0 + 2*g)*(-1 - 3 + 2) + 4 - 4 + 2*g - 2 + 2 + g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 17 + 9)*(-6 + 6 - 2*h**5).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.858 + -0.8580363. What is p rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(sqrt(7) + -3).\nAnswer: -54 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28762537, -57525076, -86287615?\nAnswer: -115050154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(3\/7)\/h))\/(h\/(((h\/(h*h*h**(-19)*h*h))\/h)\/h)))**(-40\/3))**30 assuming h is positive.\nAnswer: h**(-40800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*v - r - 482, 4*r = -v + 157. Calculate the highest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by 22.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 5, -1.\nAnswer: -62, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbo. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -998ad (base 15) to base 2\nAnswer: -1110111001000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8630*y**3 + 8631*y**3 - 25892*y**3 - 2 + 8629*y**3.\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24151 - 24234. Let b = 12 + -12. Sort a, b, -0.1, 2\/5 in decreasing order.\nAnswer: 2\/5, b, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.3173668 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 24?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/32 (b) 4 (c) 1\/2 (d) -0.3 (e) 1.2 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261612 > 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 2*f**2 + 4*f - 7. Let b be v(4). Let h = -25 + 46. What is the greatest common divisor of b and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let x = -23 + 25. Let j be 72\/(-80) - (-1)\/x. Which is the nearest to j? (a) 0.3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, u: 5, d: 7}. What is prob of picking 1 d and 3 u?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**4 - t**4 - t**3 - 4*t + 3*t + 2*t**2 - 3*t**4 to z*t**2 + r*t**3 + b*t + s + x*t**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -24*p**2 - 2298*p + 143. What is the units digit of h(-85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Let x be (147\/28)\/(p\/8). Suppose 0*l + l - x = 0. 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 z be (-1)\/7*6\/(-9). Let a = -0.275 + 2.275. What is the smallest value in 0, a, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035612 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j + 18. Give c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25073.806952 rounded to 1 dp?\nAnswer: -25073.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28002?\nAnswer: 2, 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -331958*l + 113802 wrt l?\nAnswer: -331958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -220, -379, -572, -811, -1108, -1475?\n\"Answer: -2*d**3 + d**2 - 126*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -647933, -647895, -647857?\n\"Answer: 38*o - 647971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 11 = 7*w - 12*w, 0 = t - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**4\/12 - 3*q**2\/2 - 4*q - 4. Let a(y) be the first derivative of l(y). What is the derivative of a(w) wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2075451 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 482 + -2 - (-40)\/20. Suppose 0*i = -4*q - 2*i + 1928, q + 3*i = t. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2, 2*o = -5*d + 4 + 50. Solve 0 = -3*l - i - 4, 5*l + 4*i - o = -17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3314 - -0.3574. Which is the nearest to 0.09? (a) -3 (b) -1\/3 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(5*(sqrt(36) - sqrt(9))))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -12132223?\nAnswer: -12132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/20 and -5\/33025808?\nAnswer: 165129040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141818*q**6 - 7804*q**2 - 10?\nAnswer: 17018160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 + 3*w**2. Let c be b(2). Let z be 1 - (c + (-2 - 1)). Solve -2*g + n + 1 = 5, z = -5*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17)*-2 + sqrt(17))**2*2.\nAnswer: 12*sqrt(17) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*m = 303*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 3 + 25 - 10581*c.\nAnswer: -10581*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/2 - -1) + 31. Calculate the highest common divisor of g and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4685*d - 580952. What is t(-124)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v + 178*v - 43*v - 47*v - 46*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - ((9 - 19) + 12)) + 5 - 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6.3. Let m be ((-1)\/(-9))\/(4\/(-12)). Which is the nearest to t? (a) 2\/3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 565*z**3 - 42*z**2 + 2*z + 35. What is the thousands digit of m(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 193049493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335034684 to the nearest integer?\nAnswer: 18304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -3.91. Let n = t - -2. Let k = n + 1. What is the closest to k in -1\/5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, -26, -6 in ascending order.\nAnswer: -26, -6, -5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.681 and 5.\nAnswer: 33.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1305 and 33\/725.\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 5*u + 1. Suppose p = -2*p + y + 12, 3*y + 9 = 0. Let f(s) = -s**2. Let m(z) = p*f(z) + x(z). What is the units digit of m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 98720895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255426 by 6.\nAnswer: 42571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(171))*2 - (2 + 6*(0 + sqrt(684)))**2) + 1.\nAnswer: -24623 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -455, 0.05, 3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -31\/10, 5, -3, -0.34 in decreasing order.\nAnswer: 5, -0.34, -3, -31\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a, -t - 4*a = -15760 - 13485. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -478, -5726, -0.4, 0.1 in ascending order.\nAnswer: -5726, -478, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.3. Let h be (5\/(-10))\/((-9)\/(-6)). What is the smallest value in h, 5, d, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -948667*c**2*o*y**2 - 206*c**2*o + o + 39*y wrt y?\nAnswer: -1897334*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose 82 = 3*d + 82. Suppose 0 = -5*t - 2*f, -2*t - t + n*f = d. Solve t*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -1.3. Let d = -0.21 - 0.09. Is d bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24126 + 24144. What is the nearest to x in 8\/7, -0.4, -5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*o - 59, -5*r + 56 = 7*o - 4*o. Solve -6*q + o + 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -827.106551 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 21539 + 162127. Suppose 5*f - q = -3*c, -3*f + 4*c + 10532 + 7823 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.85 + -35.85. Let q = z - -34.8. Let a = 1 - 0.7. What is the nearest to a in -2\/13, 2, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14124471?\nAnswer: 3, 67, 70271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -357\/2*q**3 + 3\/2*q**4 + 1053\/2*q**2 - 1047\/2*q + 174.\nAnswer: 3*(q - 116)*(q - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/4 + 7*h**3\/3 - 3*h**2\/2 - 8*h - 1. Suppose 0 = -6*t + 24 + 12. Is k(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g + 2*x, 7*g - 5*x = 6*g + 15. Suppose g = 19*v - 23*v + 56. Calculate the lowest common multiple of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 3 + 18*i + i**2 to y*i**2 + u*i + q and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14651\/3768 - 11\/157. Suppose 0 = -5*d - 113 - 392. Calculate the common denominator of (d\/7)\/((-180)\/105) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(640) + sqrt(160)\/(sqrt(4)*-1))\/(sqrt(128)*-1 + 3*1*sqrt(8)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41680991482 - 0.11\nAnswer: 41680991481.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -200?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/12 + 10*i**3\/3 + 27*i**2\/2 + 27*i. Calculate the smallest common multiple of (-2)\/(2 + 0) + 21 and f(-19).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + t**2 - 5 - 2 + 5 - t**3 + 3. Let j be o(1). Solve 4*l - 26 = -j*x + 2*x, 3*x = 2*l - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93519.5117 rounded to the nearest 100?\nAnswer: 93500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 290860*w**3 + 3489300*w**2 - 17447680*w + 18611200 = 0.\nAnswer: -58160, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*o + 304*o + 219 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b - 10. Let k(a) = 2*a - 4. Let y(p) = 2*h(p) - 5*k(p). Let s be 7\/2 + 18\/(-12). Let o(n) = 2*n**s + 0*n**2 - 8*n**2 + 5*n**2. Determine y(o(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 - -6) - (5 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59771 (base 13) to base 5\nAnswer: -20220403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3243 + -41213143?\nAnswer: -41204400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -695.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108913612.5us to weeks.\nAnswer: 0.00018008203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24037 is divided by 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i + 25. Which is the nearest to -1\/2? (a) -0.5 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 554 + -554. Suppose 2*i + 2*m + 2 = 0, n = 2*i - 73*m + 70*m - 13. Solve -f - 5*p - 2 = 0, 6*f = i*f + p + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + 2. Let k(g) be the second derivative of 5*g**3\/3 - g. Let z(q) = -q. Suppose 3*d = -4*a - 27 + 3, 2*a = 0. Calculate d*z(r) + j*k(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 48 - 152 = 0. Calculate the remainder when r is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1950706 and 4310.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -231, 10, 6, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l. Let m(i) = -i + 1. Let k(j) = 7*j**2 - j + 1. Let s(n) = k(n) - m(n). What is s(o(q))?\nAnswer: 252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3195600 divided by 6\nAnswer: -532600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1509, -951, 587, 3603, 8595?\n\"Answer: 83*i**3 - 8*i**2 + i - 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 6*w - 4. Let d(j) = j**2 + j + 1. Let h(x) = 2*d(x) - u(x). Is h(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1))\/(i\/i**(2\/3)*i) assuming i is positive.\nAnswer: i**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-24) - (-4)\/16. Sort -6, -4, 2, v in decreasing order.\nAnswer: v, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26400 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11265 divided by 928.\nAnswer: 11265\/928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/24*6*20\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 81*k + 20. Let r(p) = 2*p + 196. Calculate r(b(v)).\nAnswer: 162*v + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) 26 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 + y**2 - 37*y**3 - 37 + 13*y**3 - 4*y.\nAnswer: -24*y**3 + y**2 - 4*y + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -14)*(1 + -1 + -1). What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 7*h**4 - 260*h**3\/3 + 232*h**2 - 112*h + 63. Factor q(t).\nAnswer: 4*(t - 7)*(t - 2)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 99861, 199569, 299277, 398985, 498693, 598401?\n\"Answer: 99708*j + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*a**2 + 2*a**2 - 24*a**2)*(12*a + 10*a + 22*a) to d*a + v*a**2 + t*a**3 + p and give t.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l + 45. Let x = -9341 - -9335. What is t(x)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 499 + -296. Suppose -3*k - 185 = -200. Suppose -5*z - 224 = -k*u - 64, 2*u = 5*z + 73. What is the highest common factor of u and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7295548 divided by -1228\nAnswer: -5941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/9)\/w*(w*w**0\/w)\/w*((w\/(w**(2\/19)*w))\/w)\/(w**(-5\/13)*w))**(-3\/2) assuming w is positive.\nAnswer: w**(5801\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 3, a: 2, h: 6, d: 1}. Give prob of picking 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -9*p + 3*s - 7565, 11322 = 3*p - 4*s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.196 - 3.196. What is the nearest to r in -0.3, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12841 + 24228. What are the prime factors of m?\nAnswer: 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 0. Calculate the lowest common multiple of 4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 13*c + 4. Suppose -104*s = -98*s - 18. Let p(a) = 0*a - 6*a - 3 + 39*a**2 - s*a - 41*a**2. Determine -5*h(j) - 7*p(j).\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 1, y: 1, p: 7, o: 2}. What is prob of sequence pyi?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, 19, 22\/3, -7\/2, 3\/2, 1\/6?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342075.\nAnswer: 3, 5, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 254010396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, j: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04967 + -0.05033. What is the nearest to v in -0.06, -3, -8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*o - 8*o - 0*f + 105, f + 21 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 29*g**2 - 11*g - 34. What is k(-10)?\nAnswer: 3976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/(p**(-9)\/p)*p**6*p**1 assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 5 (b) -9 (c) 2\/5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 7, y: 4, d: 1, q: 1}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/288 and -10*18\/64 + (-1512)\/(-189).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let n = s + 4. Suppose 2 = x - 5*t, 4*x = 2*x - 2*t + n. Which is the biggest value? (a) -0.2 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1004 (c) 84\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-104)\/(-13) + (-9933)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*q + 18, 5*q = 96*o - 100*o - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 14) to base 9\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Suppose 2*c = -2*t + 4, 0 = -t + c - s*c - 8. What is the second derivative of 5*b**2 - 5*b - 2*b**2 - 4*b + t*b wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-14\/9)\/(j*j\/(j**(-1\/3)*j))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1953 = -71*w + 12157 + 4209. Solve w = 100*o + 903 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 6)*(9*j**3 + 5*j**4 - 10*j**3 - 2*j**4) in the form o*j**2 + p*j**4 + f + b*j**3 + z*j and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148914 to the power of 1\/2, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) -1 (c) -2 (d) 1 (e) 399 (f) 0.41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**3 - 8*f**2 - 4*f + 2. Let w be y(-2). What is the highest common divisor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1131*f - 604*f + 931 + 124*f + 3325 - 611 wrt f?\nAnswer: -1611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d5798 + 2?\nAnswer: 1d579a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/(-30)*2282\/(-5). Let t = y + -464. What are the prime factors of t?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496783 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f + 88*f + 117*f + 1904 - 56 = 0 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose -5*t - n + 17 = 0, w = 2*t + 2*t - 5*n - 31. Calculate the smallest common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 8903.\nAnswer: -35612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4806 + -4801. What is the nearest to -2\/7 in 0.5, -4, 1.77, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, 1 n, and 1 t when four letters picked without replacement from ntvfvzv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 46 + 7, 3*v + 35 = x. Solve 18*h - x = 82 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 6. Let h = 5 - o. Solve -4*p + 5*p = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47318048, 189272188, 425862422, 757088750, 1182951172, 1703449688, 2318584298?\n\"Answer: 47318047*j**2 - j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from zltzzoklzoyzzyl?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/9 + 2332*g**3\/9 + 32912*g**2\/9 + 150848*g\/9 + 75520\/3 = 0.\nAnswer: -6, -4, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + ((-3*sqrt(128) + sqrt(128))*2)**2 + 4 - 4*-3*sqrt(6)\/sqrt(147).\nAnswer: 68*sqrt(2)\/7 + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*u - 8, 5*u + 4*d - 2 = 4*u. Let w(p) be the third derivative of -1\/120*p**6 - 1\/12*p**4 + 2*p**u + 0 + 1\/6*p**3 + 0*p + 1\/12*p**5. Give w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7057513, -7057493, -7057425, -7057285, -7057049, -7056693, -7056193, -7055525?\n\"Answer: 4*y**3 - 8*y - 7057509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 9*k - 2*k + (-3*k + 0*k - k)*(4 + 0 - 3) to the form f*k + t and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 578 in -0.094, 3\/7, 0.3, -1\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011 (base 2) in base 6?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 785927335 minus 15256?\nAnswer: 785912079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001110000011010101 (base 2) to base 6\nAnswer: 10504033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*(-7)\/21?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -15 - (4 + -3 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 33. What is the tens digit of 1\/(-1 - 57\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 3, r: 3, s: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 + 505*k**4 + 2740*k**3 - 9440*k**2 - 10880*k + 29680 = 0. What is k?\nAnswer: -7, -2, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39520 and 11017760.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 - 23656?\nAnswer: -24050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 divided by -72?\nAnswer: -727\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -195407.\nAnswer: 39081.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-297)\/90)\/(18\/(-15)))\/(2\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21482 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1982 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.173 + 0.827. Let g = 1.47 - -0.03. Let y = 2 - g. Which is the third smallest value? (a) y (b) i (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 = 5*t - 31, 0 = -x + 2. Suppose -3*a - 231 = -t*a. Suppose -2 + a = 3*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68023 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72.99369 litres?\nAnswer: 72993.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5*u - 3*u)*(0 + 3 - 1)*(-2 + 4 + 0) - 62*u + 41*u + 88*u.\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18507 divided by 2\nAnswer: 18507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 298\/161?\nAnswer: 298\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 14. What is the lowest common multiple of (3 - 12\/(12\/t))\/1 and (-12)\/(5\/(15\/(-2)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -10 - (19 + (-12 - (2 - 7))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let f be o(2). Let r = 2 - f. Suppose 0 = h - r*h + 6. Solve 3*q - 5*w - h = 0, 4 - 1 = 3*q - 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j**3 + j**2 - j + 1. Let q be y(1). Suppose -13*o + q*o + 11 = 0. Calculate the greatest common divisor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 - 2. Factor 2*m**j - 12*m - 3*m**2 + 7*m + 6*m.\nAnswer: -m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 9*r + 80. What is the second derivative of 3*b**5 + 10*b**2 + 2327*b - b**r + 5 - 2330*b wrt b?\nAnswer: 40*b**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 2*h**3 - 5*h**4 + 4*h**2 - 4 + 3*h**2 + 4*h**4 to w*h**3 + u*h**2 + s*h**4 + x*h + b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + 2 - (-5 + 2 - -31).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907157, -1814248, -2721339, -3628430, -4535521, -5442612?\nAnswer: -6349703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*k**2 + 11*k**2 + 73*k**4 - 8*k**4 + 35*k**4 wrt k.\nAnswer: 2400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 4, -2\/3, -1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28168.15 centuries to years.\nAnswer: 2816815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/64880739 and -75\/502.\nAnswer: 129761478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let c(r) = 3*r**2 + r. Calculate the lowest common multiple of c(-2) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 71.\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3) - 16) + 0. Let c = 15 + y. Suppose c = -3*a - 0 + 6. What is the highest common factor of 18 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 19 = 7. Let y(w) = -19 + 15*w**i + 19 - 7*w**2. Let o(z) = 2*z**2. Determine o(y(v)).\nAnswer: 128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1890 and 2165520.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -842217, -842258, -842291, -842316, -842333, -842342?\nAnswer: -842343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-54))\/(268647\/16227).\nAnswer: 2\/447","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 257860 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -2\/5 (c) 0.001 (d) -8467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 6. Let j = v - -11. Let w = -86 - -83. Which is the second smallest value? (a) w (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/108 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404615127 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: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from yyvvyyv.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:52 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/3)*t)*t)\/t**(-6))\/(t**(-1\/4)*t*t\/(t\/(t*t**(1\/2))))*(t\/t**(-1)*t\/t**7)**(-15) assuming t is positive.\nAnswer: t**(781\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.9131 and -0.7.\nAnswer: 6.23917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -61202?\nAnswer: -61133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 12. Suppose -3*r + 13 = 2*x, 6*r - 3*r = u*x + 1. Let b be r\/(-20) - (-2)\/(-8). Sort 2, -3, b in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*h**3 + 2159*h*j**2 + 26363*j**2 wrt h.\nAnswer: -102*h**2 + 2159*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + 5*i**3\/6 + i**2. Let c = -340 - -331. Let b(x) = -x**2 - 11*x - 11. Let k be b(c). What is f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -5*j - 5*d + 61, 0 = -4*j + 3*d + 115. Suppose 5*r = 91 - j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 76*n**3 + 646*n**2 - 720*n.\nAnswer: -2*n*(n - 45)*(n - 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 31*z + 408 = 3*d, 0 = -422*z + 419*z - 4*d + 214 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 0.44. Let p = 1 + -1. Let b = 3360.1 - 3360. What is the closest to b in p, -0.5, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 36*x + 28 - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 548987.6l?\nAnswer: 548987600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 9, -3, 569 in descending order.\nAnswer: 569, 9, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t - 75. Let y(s) = 61933 + 2*s - 61933. Calculate o(y(a)).\nAnswer: -30*a - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -146606\nAnswer: 4\/73303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (7 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 = 15*h + 6254. Let q = h - -693. List the prime factors of q.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18774105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1786.91 kilometers?\nAnswer: 178691000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/12 + 3\/4. Let t = 10.76 - -0.24. Let m = -10.9 + t. Which is the second smallest value? (a) m (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -484.25?\nAnswer: -77.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -1.102. Let z = n + 0.598. Let j = -677\/5 + 135. Sort j, 3, z in ascending order.\nAnswer: j, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 101*t + 1014. What is u(-59)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10239 - 10235. Let y(v) = -6 - 2*v + 1 + 2. Suppose 0*j + 3*j = 27. Let o(b) = 4*b + 6. Calculate h*o(n) + j*y(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 5 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 - 15*z + 1. Let j be f(-7). Suppose 3*g - 15 = j. Let o be (3 + -2 - -35)*(-134000)\/g. Round o to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let g = -274 + 261. Let h(a) be the third derivative of 7*a**4\/24 + 2*a**2. Calculate g*w(o) - 6*h(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617 = 95*z + 3418 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (7 + -19 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 613, 1246, 1903, 2596, 3337?\n\"Answer: 2*t**3 + 619*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.03, -1\/4, 2692?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 - (-9 - -16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 15*n**2 + 2*n - 25. Let c(w) = -2*w**3 + 29*w**2 - 4*w + 51. Let j(y) = 2*c(y) + 5*g(y). What is the tens digit of j(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 - 201. Let k(u) = 2*u**3 - 3*u**2 - 2*u + 1. Let y be k(3). Let j = y + -16. Solve -g + 2*b - j = 0, m*b + b - 7 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.817 + -1.317. Which is the nearest to 2? (a) s (b) -0.2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*h = -5*s + 71795, -4*s + 3*h = -57429. List the prime factors of s.\nAnswer: 3, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142668 divided by -9?\nAnswer: -15852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3487?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 51. What is the highest common divisor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964 by -482.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 10*f**2 - 5*f - 13. Let h be m(-10). Let x = h + -33. Suppose -4*y + 270 = 8*w - 3*w, -x*y + 262 = w. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, o: 1, z: 1, j: 7}. Give prob of picking 1 t and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 11, c: 5, e: 3}. What is prob of picking 1 f and 3 e?\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 + 523. Let b = 217.18 - v. Let i = b + 1.61. Round i to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(1\/3))*v)\/v)**44\/(v**(-4)\/v**(-2\/3)) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*a*z**3 + 71*a*z**2 + 39*a*z - 194*z**3 + 746*z**2 with respect to a.\nAnswer: 19*z**3 + 71*z**2 + 39*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*r*t - 4*r*u - 21*r - 469*t**4*u - t**2*u - u + 3 wrt t?\nAnswer: 13*r - 1876*t**3*u - 2*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185893319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)**35\/(c\/c**(-2\/7)*c)**(-28))\/((c**(1\/2)*c)**(-11\/4))**(1\/25) assuming c is positive.\nAnswer: c**(5833\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23*l**3 + 1170*l**2 - 161*l - 415. Give k(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3822812314 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.456 and -255.\nAnswer: -116.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93144716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/1501 and -49\/395?\nAnswer: 7505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-459)\/42)\/(-9) + 1029\/(-686).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*g = 784 + 801, 1615 = -5*j - 2*g. Let t = j - -321. Solve 0 = -3*q - t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49444.\nAnswer: 2, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(6)*3)\/sqrt(2) + (sqrt(363)*1 - sqrt(363)))**2.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b9 (base 12) in base 13?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 + j**5\/20 + j**3\/3 - 8*j**2. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**2 + 22*y + 542. Let a(i) = i**2 - 2*i. Let o(s) = 8*a(s) + r(s). Differentiate o(x) wrt x.\nAnswer: -10*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 + 129*z**2\/7 + 108*z\/7 - 108.\nAnswer: 3*(z - 2)*(z + 3)*(z + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2\/95)*m*m**(-2\/19)*m*(m\/(m**(-21)\/m*m))\/m*m*m**(-3\/14))**(-27) assuming m is positive.\nAnswer: m**(-921429\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128042222 rounded to the nearest 1000000?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 156. What is the least common multiple of (-114)\/38*(-65)\/y and 55?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.7 + 147.92. Put -3\/7, 0.5, r, -5 in decreasing order.\nAnswer: 0.5, r, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 6. Let k be p(-6). Let a(x) = -x**3 - x**2 + 5. Let v be a(k). Suppose 0*s = -s + 3*y + 5, -v*y - 11 = -3*s. Solve -s*t = 4 - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3\/1)\/(711\/(-10191)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3*w**2 - 10*w + 6. Let x be v(5). What are the prime factors of (-22944)\/(-224) + x\/(-14)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 37*g**2 - 582*g - 1938. Give s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 - 11*n + 8. Let m be w(-6). Solve 0 = -m*x + 6*x + h + 11, 0 = 2*x - 4*h - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7*j + 1263 = 2123. Calculate the remainder when 854 is divided by j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 28*i**2 - 291*i - 68. Calculate g(36).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42*(0 + (-2)\/2). Let h = s + 81. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -37. What is the remainder when r is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let v(b) = b**3 + 4*b**2 + 4*b + 3. Let z be v(-2). Suppose z*q + 5*t = 2*t + 33, 31 = q + 5*t. Let s(l) = -q + 6 - l. What is s(y(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-9) + (-20)\/90. Suppose -i = 2*o - v, -6 = -2*o - 2*i + 3*i. Solve o = 2*f, -1 - 8 = 4*d - 5*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = 2. Let l be (-6)\/(-9) - z\/6. Let n be 13\/21 - 4\/14. Which is the closest to n? (a) -4 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 306.4 + -352. Let g = f + 46. What is the second biggest value in -6, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*((s*s**3)\/s)\/s*s)\/(s*s**3))\/(s\/s**(-2\/7))**(1\/14)*((s\/s**(-2\/3))\/s*s\/(s*s**(-1\/2)))**32 assuming s is positive.\nAnswer: s**(11243\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134216 (base 7) in base 5?\nAnswer: -14040032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 979232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/3)\/(20\/12))\/((-33)\/660)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42464 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1156.6 + -11938034582.\nAnswer: -11938035738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*d - 3)*(-4*d**3 + 0*d**3 + d**3 + (0 - 3 + 2)*(-2*d**3 + 1 - 1)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 5*y**2 + 7492346*y - 7492346*y. Let f(g) = -6 + 6 - 40*g**2. Calculate l(f(t)).\nAnswer: -3200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 444677134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 118.81*1\nAnswer: 118.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3235*w**2 + 3987*w - 5. Let d(l) = 3266*l**2 - 3988*l + 6. Let r(i) = -5*d(i) - 6*g(i). Find the second derivative of r(y) wrt y.\nAnswer: 6160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 24. Let o = a + -4. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225215.\nAnswer: 5, 31, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21018\/10513)\/(-2) + 1. Let q = 2123590\/94617 + u. Let m = q + -1267\/36. What is the common denominator of -33\/20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 <= 217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 + 8*p - 5*p**2 - 6*p - 2. Let c(s) = -6*s**2 - 2*s - 6. Let l(k) = -18*k**2 - 5*k - 17. Let j(b) = 11*c(b) - 4*l(b). Calculate 4*h(q) + 3*j(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - 0.1. Suppose 2*f + 9 = -0*z + 3*z, -5*z + 15 = 4*f. What is the closest to f in 5, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3729*c**3 + 344*c - 1992479 wrt c?\nAnswer: 11187*c**2 + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -730123 - -515?\nAnswer: -727406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364092*t*z**4 + 35799*t - 20*z**4 + 1487 wrt z.\nAnswer: 1456368*t*z**3 - 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d + 248. Let t be g(31). Let s(k) be the first derivative of -14 - 9*k + t*k**2 + 11\/3*k**3. Find the first derivative of s(w) wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**2 + 60*m**2 + 31*m**2 + 34*m**2 - 204*m**2 + 32*m**2 - 5.\nAnswer: -8*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 - -6)\/24)\/(6\/4). Let f = -4.8 + 5. Let u = f + -0.5. Which is the smallest value? (a) 2 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**3 - 1. Let s be w(-2). Suppose s = -7*h - 1. Let r(b) = -b**3 - 8*b**2 + 1. Let f be r(h). Let t(y) = 4*y**3 + y**2 + y - 1. Give t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 3, g: 3}. What is prob of sequence gx?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/3)\/f))**(-1\/27)\/(f**1)**(18\/7))\/((f**1)**2)**(-41) assuming f is positive.\nAnswer: f**(45001\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4392 by 6.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -854.36 + 869. Let b = j - -0.86. Round b to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13464*j = -13254*j - 2940 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 53\/4, -231631?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584 + 989. Calculate the greatest common divisor of 243 and h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a00 (base 11) to base 16\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/726)\/((-2)\/(-6)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6615 = -5*c, 409 = 3*m + 3*c + 5374. Let o(p) = p**2 + 14*p + 12. Let g be o(-13). What is the hundreds digit of m\/(-16) - (15\/(-12) - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 8*r**2 + r + 10. Let z be f(-8). Let h = 3.5 + -0.5. Let x = h + -3.5. What is the smallest value in 0.4, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwwwwwiwjwjw. What is prob of picking 2 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359 or -380?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgizvwj. What is prob of picking 1 v and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260118, -1260072, -1259950, -1259716, -1259334, -1258768?\nAnswer: -1257982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630385769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Let b(q) be the first derivative of 0*q**4 + 0*q - q**f + 0*q**3 + 1\/5*q**5 + 2. Find the second derivative of b(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a*a**(-19))\/((a\/(a\/(a\/((a\/(a\/(a\/a**(2\/19))))\/a))))\/(a**(-4\/9)\/a)) assuming a is positive.\nAnswer: a**(-5566\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + p - 211 = 2*p, -5*z = p - 219. Calculate the remainder when 168 is divided by z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1)\/(((-47432)\/7644)\/242).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -20539316\nAnswer: -82157264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 36 - (-6 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 0.14212?\nAnswer: 0.14212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 107*w - 205. List the prime factors of h(18).\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18828 and 618?\nAnswer: 1939284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-192)*(-7840)\/(-588)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-4 + -1570) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32.94 in -0.2, 2\/5, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 - 517.99999759. Round s to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14006 is divided by 5627.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 19. Which is the third biggest value? (a) -4 (b) 2\/9 (c) -4\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355454 * 15.3\nAnswer: -5438446.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1835*(19860\/(-25))\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010210 - 10?\nAnswer: -122010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/19, 0.0925, 5 in decreasing order.\nAnswer: 5, 0.0925, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*1\/(-20))\/(26\/(-8)). Let u = 1 - 1. Is y greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 82?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 21, 4\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 0.33, -11.4, -3\/4, -2, -5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58522?\nAnswer: 2, 29, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 942 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18367 is divided by 428.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2718 (b) -2737 (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 404*o**3.\nAnswer: -404*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 12. Let f be 96\/15 + 2\/(-5). Solve 0*b - f = a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1522*n - 24991 - 14581 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/7)))\/(g*g**(3\/7)*g)*g*g\/((g\/(g\/(g*g**(-9))))\/g)*g*g**3*(g**(-2)\/g)**(-31)*(g*g**(-2\/3))**15 assuming g is positive.\nAnswer: g**(772\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 626 = 4*m - 1376 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1271252147 to the power of 1\/2, to the nearest integer?\nAnswer: 35655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 18d5a?\nAnswer: 18d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216939 is divided by 284?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 17 + 495\/(-15) + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 3*w**2 - 10*w - 25. Let y be i(-3). Solve -h - 10 = -p + 3*h, -y*h = -p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/60 - 7*d**5\/60 - 7*d**4\/24 + 2*d**3\/3 - 8*d**2. Let q be k(-9). Let s = -563 + q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -204, -200, -196?\n\"Answer: 4*z - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4552\/5 + 911. What is the third biggest value in -1\/3, -0.057, y, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 676725*i**3 - 2706845*i**2 - 3383535*i - 1353410 = 0 for i.\nAnswer: -135341, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 2875.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/771928 and 53\/3473676.\nAnswer: 6947352","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 126\/49 - (-4)\/(-7). Solve -x*c + j = -7 + 2, -3*c + 4*j = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27743060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-560))\/((-2)\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1087952436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.152 times -6?\nAnswer: -3564.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82826, -82825, -82824?\n\"Answer: l - 82827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 9*m)*((2 - 3 + 0)*(0*m - m - 3*m) - 8*m + 8 - 8)*(3*m - 5*m + m).\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*f - 3*w, -12 = w + 2*w. Suppose -415 = -2*t + n, -3*n = -4*n + 5. Let u be 88\/t + 12\/(-42). Is u > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3032, 0, 7, -3 in descending order.\nAnswer: 7, 0, -3, -3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -67. Sort 5, -0.01, c, -4.\nAnswer: -4, -0.01, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3823900 to the nearest 10000.\nAnswer: 3820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*-0.6.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 16. Let k(c) = -1. Let r(a) = 6*a**2 - 4. Let i(l) = z*k(l) - r(l). Let u(v) = 2*v. Calculate i(u(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let z(d) = 80*d**2 - 1. Give t(z(a)).\nAnswer: -80*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0094? (a) 5 (b) -2\/9 (c) -1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -27*n**4 + 5*n**3 - 2*n**2 + 2*n. Let r(z) = z**4 + z**3 - z**2. Let j(x) = f(x) - 5*r(x). Find the third derivative of j(b) wrt b.\nAnswer: -768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:20 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-24)\/90)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 11 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10*40\/(-12). Solve 5*h = y*l - 15, 4 - 24 = 4*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/11 + 137206*d**2\/11 + 274404*d\/11 = 0. What is d?\nAnswer: -68601, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328\/123*3*26\/8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppuuppppupp. What is prob of sequence up?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000934 to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6 + 16 = 0. Let x(h) = 17*h - 4. Let z be x(m). Let j = 90 - z. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11895 divided by -1\nAnswer: -11895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*n**3 + 2170*n**2?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1193, -1, -0.5 in decreasing order.\nAnswer: 1193, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 437369279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 2*u + 34. What is the units digit of l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 71?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m. Suppose -7*h + 3*h + 12 = m, 2*f - 4*h = -32. Let v(k) = k**2 + 11*k + 13. Let a be v(f). Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/56 + -7 - (-191496)\/12726?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/2520 + m**5\/10 - 7*m**4\/24 + 2*m**2 - 38. Let s(b) be the third derivative of z(b). Let c(f) = -10*f**2. Give c(s(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -89. Solve -c*j + 8*j + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 2. Let g(o) = o**2 + o. Let f be g(0). Let r be f + (-2 - (-1 - -1)). Let l be b(r). Which is smaller: 3\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 + 126 + (-69 - 13)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-4)\/(-12)*10\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 + 0)\/(89\/(2759\/(-62)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/9*3\/(-2). Let z = 34 + -37. Let t be 4 + (z - 18\/15). Sort -5, h, t.\nAnswer: -5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 4. Suppose 0 = -4*d - 5*p + 12 + 6, 5*d + 5*p - 20 = 0. Let x be a(d). Suppose 9*m - 858 + 228 = x. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1906*a + 23347?\nAnswer: 1906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6650, 26599, 59848, 106397?\nAnswer: 166246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, -178, -285, -412, -565, -750?\n\"Answer: -a**3 - a**2 - 83*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let z(c) = -9*c + 4. Determine -3*f(a) + z(a).\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + -1. Let i(o) = -2*o**2 + 3*o + 56. Let t be i(8). Let y be 8\/(t\/(-30)) + -26. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - 1) + (2 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1955640761 rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 6363402*v + 44543667.\nAnswer: 3*(v - 2121127)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, c: 1, b: 3, i: 1, x: 2, s: 3}. What is prob of sequence is?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 2*i**2 - 4*i - 3. Let a be (2 - (-2)\/(-1))\/(-2). Let l(k) = -k**3 - k**2 + k - 2. Let g be l(a). List the prime factors of d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) - 14\/(-28). Solve 0 = -4*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000829 rounded to five decimal places?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122476, -122479, -122482, -122485?\nAnswer: -122488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {q: 6, c: 1, u: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2866116 and 2112.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5\/o)**8)**(8\/5) assuming o is positive.\nAnswer: o**(256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/3)\/r)\/r)**(1\/12))**(8\/5)\/((r**(1\/4))**24)**(2\/25) assuming r is positive.\nAnswer: r**(-158\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.5. Let v = 31022\/23 - 1349. Let h = -71\/115 - v. What is the third biggest value in h, 1\/5, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**2 + r - r + (-1 - 3*r + 1)*(-4*r - 2*r + 4*r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26739828?\nAnswer: 2, 3, 247591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 2210?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 391460699 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 19*d. Let p(r) = -11*r**3 + 8*r**2 - 8*r. Let h(t) = 4*t**3 - 3*t**2 + 3*t. Let x(z) = 8*h(z) + 3*p(z). Give -c(b) - 4*x(b).\nAnswer: b**3 - 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -45. What is the highest common factor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**2 - 2*h - 143. Let z(c) = 25*c**2 - 2*c - 286. Suppose 23*q + 72 + 43 = 0. Let g(p) = q*j(p) + 3*z(p). What is the derivative of g(w) wrt w?\nAnswer: 20*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (196\/35)\/(4\/50). Let k = 79 - a. Solve k*f - 4*f = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (63\/(-14))\/(-3)*(-4)\/(-18). Let k = 1.01 + -1.1. Let z = 0.152 - -1.848. What is the nearest to k in -4, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1067303 and 3698?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -196270 (b) 2\/3 (c) 2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -236744 - 178\nAnswer: -236922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61.07 and -0.145?\nAnswer: 61.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 15312*b**2 - 944511*b + 3532860.\nAnswer: 3*(b - 57)*(b - 4)*(b + 5165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrmrdbrmmzrbrdb. Give prob of sequence rrrz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 2. Let p(k) = -32*k + 24. Let t be p(-7). Suppose -7*o = -t + 185. Calculate q(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, 109, -1, -2.\nAnswer: -23, -2, -1, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1. Let g(j) = j - 2. Let o(r) = -3*g(r) - 6*y(r). Let v(d) = d**2. Determine v(o(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -3*r. Let p be ((-40)\/(-12))\/((-4)\/6). Are r and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(20)\/sqrt(4))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1136 and 19\/8?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 2 + -7 + 8701\/6468 and -67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 8*f + 1. Suppose 2*v - v = 0, -5 = -5*j - 5*v. Suppose 0 = -5*t - 5*h + 60, 4*h + j - 14 = t. What is c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10))**(-8)\/(a**(3\/11)*a)**(-12\/13))**(-1\/7) assuming a is positive.\nAnswer: a**(-11608\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191415181 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 take away 127685?\nAnswer: -127431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**3*z**3 + 31*p**3 - 25*p**2*z**3 - 10*p**2 wrt p.\nAnswer: 18*z**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r + 15 = 939 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6037127 and 12824?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 140 = -3*m, 2*m + 1684 - 1749 = 3*x. Solve -m = 589*i - 594*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**2*w**2 + 19*k**2*w - k**2 + 53*k*w**2 + 2*k*w + 11*w**2 wrt w?\nAnswer: -14*k**2 + 106*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/5 - 25*k**4\/3 - 106*k**3\/3 - 54*k**2 - 713*k + 3. Factor h(t).\nAnswer: 4*(t - 27)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/1)\/(1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40040 (base 5) in base 4?\nAnswer: -213120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16284221?\nAnswer: 16284221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -662979.89 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0 - -1) + -2. Suppose -6 = 5*n - 3*v - 17, i = -n + 3*v + 7. Let y be (n - -28) + 0\/(-3). What is the greatest common divisor of y and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*a = 7, -18*r + 17*r - 2*a = 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-21)*(-1)\/2. Suppose c - 4*c = -12. Let 0*i**3 + 0*i + r*i**2 - 2\/7*i**c + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:17 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b + 8*b**2 - 2*b**2 + b**3 + 10*b + 4*b**2. Let v be h(-3). Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -9*i**2\/2 - 4*i + 6. Let l(k) = k + 1. Let b(w) = 5*l(w) + r(w). Calculate b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -14*a + o + 1, 3*a = 4*o + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 10*y + 4. Calculate the least common multiple of 28 and g(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 111 + 24 = -5*r, -3*x = r - 73. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*u + 10, 4*z - 4*u - 9 = -29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4160 divided by 416\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605753092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56552, -113066, -169580, -226094, -282608, -339122?\n\"Answer: -56514*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:28 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 837 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69484 and 29812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/10 - (-8 - -3)\/(-5 + 0).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37458 and -9.\nAnswer: 337122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 64 = -4*s, -4*s + 8 = 3*r - 38. Solve -i + r = -12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23027, 23054, 23143, 23324, 23627?\nAnswer: 24082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -5*g**4\/24 - 6*g**3 - 2427*g**2. Calculate k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 69 + 0 - 83*s)*(0*s - 2*s - 4*s).\nAnswer: 498*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -40301?\nAnswer: -40311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 975358 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28\/59 + 1133\/3009. Calculate the common denominator of h and -31\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - 21. Let s be o - -11 - (1 + -42). What is the greatest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3 + 522*s**2 - 23220*s + 44376 = 0.\nAnswer: 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 3*o + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16804737.\nAnswer: 3, 1867193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 540358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((55\/22)\/(25\/(-210)))\/1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -9\/229, -1\/5, -42, -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101 - -110110011?\nAnswer: 1001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 + 15*n**2 + n - 16. Is z(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2*5 - 6*1*sqrt(187))\/((1*sqrt(176) + sqrt(176))*3*2))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 15*t - 124. Let o(q) = 3*q. Calculate o(l(j)).\nAnswer: 45*j - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 74*v**2 - 23*v**2 - 29*v**2 - 30*v**2. Let t(z) = -2*z + 109. Calculate m(t(r)).\nAnswer: -32*r**2 + 3488*r - 95048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 1671 = 639. What is the smallest common multiple of 22 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1093 - 1052. Solve 46*s = t*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 4855\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 + (-980)\/15)\/(10\/(-210))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3838 + -3836. Solve -5*s + 2*g = 5, 0*s = n*s + 4*g + 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**3 + 15*c + 3. Let w(d) = d**3 + d + 1. Let z(n) = -v(n) + 12*w(n). Let h be z(-5). Let r be (3\/9)\/(9\/h). Is r < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245360839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2*(4 - 3). Let b be 2\/c - (-3 - -3). Let u(m) = 7*m**2 - 4*m + 2. What is the least common multiple of 16 and u(b)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 24. Let g be (-6)\/b + 19\/2. Solve -4*z - 5 = -g*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.48428 - 31.60728. Round h to one dp.\nAnswer: -31.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -4, -7, -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.007 (b) -3 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((18\/(-28))\/(78\/(-91))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 56.7. Let o = p - 2.699962. What is o rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - (-41 - -35). Is (-3)\/((-18)\/4754) + x\/9 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -630.3, 2\/5, 0, -1\/3 in descending order.\nAnswer: 2\/5, 0, -1\/3, -630.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**5 - 4*f**4 + 4*f**2 - 5*f. Let r(x) = -x**4 + x**2 - x. Let g(j) = 4*r(j) - u(j). What is the second derivative of g(t) wrt t?\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 180 + (-3 - -2) - (166 + -144)\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 5*s - 13. Let j be f(-4). What is the nearest to 257 in 5\/2, 0.5, j?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clqlccqqclclxci. Give prob of picking 3 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - 4) + (3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 + 11)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 69*o + 93*o + o**3 + 10*o + 373*o.\nAnswer: o**3 + 545*o + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f + 5*f**2 + 3*f + 28*f**2.\nAnswer: 3*f*(11*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/5 - 23728498*b\/5 + 140760404334001\/5 = 0.\nAnswer: 11864249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h**5 - 2316*h**4 - 7041*h**3 + 145986*h**2 - 292620*h + 94200 = 0. What is h?\nAnswer: -10, 2\/5, 2, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 6324126.\nAnswer: -6324129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 17*g + 10. Determine a so that -8\/11*a + 100\/11*a**g - 16\/11 + 50\/11*a**3 = 0.\nAnswer: -2, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2183980 (base 10) to base 16.\nAnswer: -21532c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11156*l*v**3 + 7663*l*v**2 + 5*l*v + 1094978*v wrt v?\nAnswer: 66936*l*v + 15326*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 0*j + 4*j + 0*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 22 = -6 + 154 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 11*a - 92. Let u(h) = 2*h**2 + 4*h - 31. Determine 4*n(x) - 11*u(x).\nAnswer: -2*x**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23335 - -36215. Suppose 26*t - l = -374. List the prime factors of t.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 32*w**6\/75 + 116*w**5\/25 - 133*w**4\/20 - 121*w**3\/30 - 4*w**2\/5 + 11377*w. Determine p, given that l(p) = 0.\nAnswer: -8, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*a + 7, 0*i - a + 9 = 5*i. Suppose -3*y - 9 = i*n - 3*n, 77 = 3*n + y. Calculate the smallest common multiple of 80 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 24*h - 112. Calculate o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s + 25088 = -58*s. Does 94 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.584 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*h**4 + 25701*h + 9464056.\nAnswer: 228*h**3 + 25701","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 105. Let p = -274.385204 - -288.3852. Let r = j + p. What is r rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u**3 + 183*u**2 + 8*u - 14. Let w(n) = 5*n**3 + 92*n**2 + 3*n - 6. Determine -3*v(h) + 7*w(h).\nAnswer: -h**3 + 95*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -85. Let b be (-1)\/(k\/(-14))*16\/(-28). Suppose c - 41 = -b*p, 3*p - 5*c + 28 - 109 = 0. Is 23 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**3 + 206*w**2 + 75*w - 99. Let r(t) = 4*t**3 - 103*t**2 - 38*t + 49. Let h(b) = 3*n(b) + 5*r(b). What are the prime factors of h(-51)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 at least 592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-14) + -10*(-5)\/14. What is the highest common factor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*15798.8\nAnswer: -3159.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (11297\/(-3) + -3)*(-5)\/((-75)\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468) - (sqrt(468)*-4*5 + sqrt(468) + sqrt(468)))**2*4.\nAnswer: 675790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -27\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-3 + 3 - 4*c**2) + 2*c**2 - 4*c**2 - c**2 + (2*c - 2*c + 2*c**2)*(-2 + 3 - 2).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*x - 270*x = -133*x - 11049 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4) - 2\/(-4). Calculate the remainder when 22\/(2*w\/(-6)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7192.52548 - 41622.9958. Let i = -34488.47032156 - x. Let d = i + 58. What is d rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 272 = 26*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and 3237.18.\nAnswer: 3237.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1001*d**2*f*t**2 + 10*d**2*f - 3*d*f*t**2 - 9*d*f + 4*d*t**2 - 3*f*t wrt d.\nAnswer: 2002*f*t**2 + 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(2 + 0 + 1) + 3 + 4 - 6)*(0*q - q - 3*q)*(-2 + 2 + 1).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let q(p) = -3*p + x*p + 2*p**2 + p. Let t(i) = 3*i. What is q(t(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 363227922.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from vkvvkvc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134\/1474)\/((-7)\/(-2002)*4).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1054, 1053, 1042, 1015, 966, 889, 778?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - i = -1, r - 4*r - 3*i = -15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*4*23\/828.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)*((n*n**(2\/13)*n)\/n)\/n*n*n**1\/n*n\/(n\/((n**(-3\/8)\/n)\/n))*((((n*n**(1\/2)*n)\/n)\/n)**(31\/5))**(-8) assuming n is positive.\nAnswer: n**(-6733\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - v + 549 = -2*v, -4*v = 4*a + 552. Let h = -129 - a. Calculate the smallest common multiple of h and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -10\/9, -2\/3, -6 in ascending order.\nAnswer: -6, -10\/9, -2\/3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0897776 to two dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176324 and 20064634?\nAnswer: 5186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3096 + 3220. What is the highest common divisor of v and 2542?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 5*q**4 - 7*q**3 + q**2 + 8*q + 4.\nAnswer: -(q - 1)*(q + 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*h + 15 - 54, -b - 2*h - 3 = 0. What are the prime factors of (1 - 795\/b) + 5\/(-15)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 4963?\nAnswer: 4963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/252)\/(3*6\/(-27))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22\/83 + -2065\/664. Let k = 22 - 24. Find the common denominator of a and 43\/12*(-1 - k\/6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*k**4 + 868*k**3 - 432*k**3 + 1 - k**2 - 436*k**3 to s + g*k**2 + v*k**4 + p*k**3 + l*k and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9936 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.17 and 0.53.\nAnswer: -6.9801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51749754 is divided by 3590?\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-28))\/((-1)\/(-2)). Let f be b*(0 + 1)*-2. What is the third derivative of 7*h**2 + 9*h**2 + 3*h**6 - 14*h**f wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129\/4 + 199\/4. Let w = 22\/17 + -1019\/748. Let f = w - 111\/308. What is the common denominator of m and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/279*(1168\/(-80))\/73?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 - 328. Let u be 2 - (m\/45)\/2. Which is the second biggest value? (a) 0 (b) u (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 404, 424, 458, 506?\n\"Answer: 7*i**2 - i + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1273*b**3 - 11*b**2 + 17*b - 4. List the prime factors of g(1).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10101000110 (base 2) to base 4\nAnswer: 111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.3, 12824, 123 in decreasing order.\nAnswer: 12824, 123, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17363112 - 0.3.\nAnswer: -17363112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110102 (base 3) to base 7.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408803253?\nAnswer: 3, 2789, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 7\/6*z**3 + 7\/2*z**2 + 4*z + 0. Let d(g) = -4*g**2 + 2*g + 2. Let q be d(-1). Let m(f) = 6*f + 6. Give q*v(i) + 5*m(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13818*z**2 - 189*z. Let l(r) = 147*r**2 + 2*r. Give 378*l(i) + 4*w(i).\nAnswer: 294*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Put i, 0.037, -7 in decreasing order.\nAnswer: i, 0.037, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65890*z = -65884*z + 78 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/60 - -13\/12. Factor -1\/5*c**3 + x*c + 0*c**2 - 2\/5.\nAnswer: -(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3883, -7648, -11413, -15178, -18943?\nAnswer: -22708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 4*j - 76, 0 = -4*b + 5*j + 79. Let r(z) = -3*z + 43. Let h be r(b). Which is greater: h or -25\/7?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/15 - (21 - 1)\/(-5). Solve -m + 19 = 8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4 + 37 = 4*i, -5*d + 4*i = -17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 148, -13365.3, -2?\nAnswer: -13365.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -4.78\nAnswer: 0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3080701, 6161438, 9242175?\nAnswer: 12322912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5525\/(-10))\/((-1)\/2). Let h be l\/15 + (-12)\/(-9). Suppose -h = -7*q + 2*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/228 + 343\/760. Let i(l) be the third derivative of 1\/12*l**4 + 0 + 1\/3*l**3 + 0*l + 31*l**2 + k*l**5. Factor i(o).\nAnswer: (o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374 (base 13) to base 2\nAnswer: -1001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {q: 4, m: 2, l: 1, e: 10}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42831.\nAnswer: 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8529 + 8544. Solve 0 = -40*r + 37*r - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*1*sqrt(416) - sqrt(416) - sqrt(416))\/(4*sqrt(8)*1)*-6.\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 494\/61 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*j - 4, 5*j + 3*l = -0*l + 10. Let b be j + (-32)\/(-14) + -4. Sort 0.4, b, 7.\nAnswer: b, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 20*z + 101. Let n be y(9). Let r(x) = -3 - 4 + 10 + 0*x + n*x - 4. Let f(u) = 5*u - 4. Calculate 3*f(b) - 8*r(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -5\/11 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) - 207\/(-6). What is the tens digit of (-284)\/(-48)*w + (-6)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7130\/109 - 19\/218. Which is bigger: l or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3432 (base 6) to base 12\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 21 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3519)\/(-748) - 3\/12 - 5.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2287 = 3*z - 4*s, 2*z = 4*z - 2*s - 1526. Suppose 6*p - z = 4269. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxcxvxaxvazcx. What is prob of picking 1 x and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 2*x. Let o be x + 0 + -1 + 0. Suppose -3*w = -8 - 1. Solve -w*s - 1 + 7 = o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 + 15*g**2)*((-4*g + 0*g + 2*g)*(0*g - 4*g + g) - 3*g**2 - 3*g**2 + 4*g**2 + 3*g**2 - g**2 + 8*g**2).\nAnswer: 182*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/3, 1974, -1, -76 in descending order.\nAnswer: 1974, 0.2, -1\/3, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:48 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*r = -44, -8*l = -4*l - 3*r - 84. Suppose 14 = -2*m + l. Suppose -m*z = 11*z - 858. What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:02 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(44)\/sqrt(4))*-2 - (((sqrt(88) - sqrt(88)*-2)*1 - sqrt(88)) + sqrt(88))\/(sqrt(72)\/(sqrt(45)\/sqrt(5)) + sqrt(8)))**2.\nAnswer: 972*sqrt(11) + 13203\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6991527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -19794?\nAnswer: -19789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 4*r**5\/5 - r**4 - 28*r**3\/3 + 26*r**2 - 24*r + 205. Factor q(c).\nAnswer: 4*(c - 2)*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -627\/4, -3, -1, 4, -2, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjwjjjwwwwwwjwwjwj?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (11 - (15 + -4)) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1433 - -584. Let y be (4\/(-10))\/((-80)\/298000). Let h = y + k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656476 divided by -164119?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 25. Calculate d(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.63 + -4.23. What is the nearest to -0.1 in j, -2\/13, -5, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 11) in base 9?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:50 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -664, -880, -1096, -1312?\nAnswer: -1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 9 - 9)*(2*q + 0*q - 5*q + (-2*q + 0*q + q)*(3 - 3 - 1)) + 3*q**3 + 6*q**2 - 6*q**2 + (-2*q**2 + q - q)*(-4 - 2*q + 4).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -15 - 10)\/((-15)\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 168. Let k = 0 - z. What is the tens digit of 1 + k + (4 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + (0 - (0 - (11 - 3)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144689 is divided by 36164?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45724908, -45724874, -45724840, -45724806?\nAnswer: -45724772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 + 8*n + 2. Let b be f(-8). Suppose -i = -b*i. Suppose 3*t - 234 = -s, i = 2*t + 3*t - 2*s - 379. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + w = 111, 0 = -2*v + 2*w + 21 + 47. Suppose 0 = -0*r + 3*r. Suppose -k = k + i - v, i + 1 = r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8345, 8343, 8341, 8339, 8337?\nAnswer: 8335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 11357 (b) 1\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/12)\/(h*h**(-6))*h**(-5)\/(h*(h\/(h**(-4\/3)*h))\/h)*((h**1)**(1\/8))**(-2\/5) assuming h is positive.\nAnswer: h**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w*y**2 + 2*w + 210*y**2 wrt w.\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**3\/2 - 2*z**2 - 4*z. Let d be m(8). Let k = 35 + d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4022\/67 - -60. What is the third biggest value in -7, o, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -0. Let w = -2 + 36. Suppose -w = -2*q - y. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 774 = 10*n. Let s be (2\/12)\/(n\/8). Let b = s - 62\/285. What is the nearest to b in 3, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*g - g. Which is the nearest to -1? (a) g (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 18528*m**2 - 21343824*m - 258800832.\nAnswer: -4*(m - 2322)**2*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose -3*j + j = -m. Calculate the least common multiple of j and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -27*(0 - -2 - 3). Let c be p + (-1 + 3)\/2. Suppose -2 = -3*f + c. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/66 - (-32)\/(-528). Which is the closest to h? (a) 0.3 (b) 1\/6 (c) -0.4 (d) 274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose h - 10 = -s*a - 0*a, -5*h = 3*a - 15. Suppose -3*t = -c - 1, 3*c + 4*t + 2 = 38. Solve 0 = 2*f - h*f + c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 337 - 337. Let q(t) be the third derivative of 0*t + 0*t**4 + 0 + l*t**5 + 1\/60*t**6 + 6*t**2 - t**3. Differentiate q(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29918*a**4 + 114*a**3 + 8569230*a**2 + 2.\nAnswer: 718032*a + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j - 1. Let f(o) = -o**3 + 14*o**2 - o + 17. Let s be f(14). Let g(r) = 4*r**3 - r**2 + 5*r + 3. Give s*k(v) + g(v).\nAnswer: v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 2.4346.\nAnswer: 2.4346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = w, 0 = y - 5*y + 5*w - 7. Let k(m) = -m**3 - 3*m**2 - 2*m - 2. Let z be k(-3). Solve -2*b + 7*b - 21 = -y*x, z*x = -2*b + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88505*l**2 + 197*l - 596*l + 199*l + 200*l.\nAnswer: -88505*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 2\/9, -0.1, 0.1, -24?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583266 is divided by 6113.\nAnswer: 6112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338*n + 125*n - 166*n - 19*n - 430*n to s*n + f and give s.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2106*z**3 + 219*z**2 - 1602723*z.\nAnswer: 12636*z + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17663419\/120 + 147194. Calculate the common denominator of p and 13\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2332 + 3883. Suppose -469 = m - 4*h + 1072, m - 2*h = -j. Let b = -948 - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 3*c**2 + 31560*c + 449191?\nAnswer: 6*c**2 + 6*c + 31560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/2 + 6*13\/(-39). Determine t, given that -2157*t**5 + 40*t + t**4 + 0*t**4 + 2156*t**5 - a*t**2 - 16*t**2 + 18*t**3 - 26*t**2 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) 0.4 (c) 5 (d) 1 (e) 0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -70. Suppose 2*g - 17 = m, m + 1 = -q*g + 19. Sort -4, -1, m, -2.\nAnswer: m, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72516689 is divided by 174739.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*c - 3*x, 3*c = -2*x - 16 - 2. Let a(s) = -4*s + 2. Let f be (5 - -2 - 3) + 3. Let z(q) = -2*q + 1. Calculate c*a(g) + f*z(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2655\/531 - 106\/8)*4\/(-6).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {c: 1, x: 1, b: 1, g: 2, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -249028 + 7220778\/29. Let z = k - -19761\/638. Calculate the common denominator of 73\/4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:00 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21\/40 + 1\/40. Let j = 372759 + -372758.9. What is the nearest to 0.5 in -1\/5, j, m, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 40 = -w. Let t = 456 - 443. Let x = w + t. Calculate the greatest common divisor of x and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t - 5*l + 53 = -62*t, 3*l = 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by -26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -16. Let d be ((-47)\/(-3))\/(3\/q). Suppose -d = -c - 277. What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 916 times 22458\nAnswer: 20571528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 220 = -26*w + 5*k, 140 = 3*w - 7*k. What is the remainder when 1886 is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -199\/3. Let y = 2.92 + 0.08. Which is the closest to 1\/4? (a) o (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-108)\/(-15))\/(2\/25). Suppose -i = -6*i + c. Find the second derivative of 9*t**5 - i*t + 30*t - 7*t wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 2*w**3 + 3*w**3 - 2*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 2 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyll when four letters picked without replacement from llllyllllylyylllly?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*c - 946*c - 3688*c as u*c + q and give u.\nAnswer: -4781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let u(n) = 2*n**2 - 7357*n + 4. Give u(y(x)).\nAnswer: 8*x**2 - 14714*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -148.7 (b) -3\/2 (c) -4754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*w**4)*(-2*w + w - w) + 252*w**5 + 244*w**5 - 176*w**5 + 1 + 3*w**5 - 1.\nAnswer: 319*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114983, 459908, 1034767, 1839560, 2874287, 4138948?\nAnswer: 5633543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 1452331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((12\/104)\/(12\/(-8)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73499 is divided by 1878.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9718 bigger than -9719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 18 = -5*c - 7, -3*c + 19 = 5*z. Solve z*q = f - 2*q - 25, 5*q = -f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*w = -3. Let d(f) = -38*f + 4. Let q be d(w). What is the second derivative of -95*l**3 + q*l**3 + 37*l + 41*l**3 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2015*k**3 + 535*k**2 + 50. Let m(x) = -252*x**3 - 67*x**2 - 6. Let w(r) = 25*m(r) + 3*n(r). Find the third derivative of w(t) wrt t.\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34039, 34032, 34025?\nAnswer: 34018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70976 = -62*s + 56248. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*c - t, 0 = 3*t. Suppose c = -3*o + 5*u + 32, -5*u - 36 = -0*o - 4*o. Solve 0 = -o*l + 5*r - 4*r - 12, -l + 12 = -4*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 729 = 621. Let x = 4 + -8. Let m be 6\/x*4\/(-3). Is t greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-7))\/(129\/(-21) + 6). Let u be 0\/(-1) - 12\/d. Let w be u + 3 + -4 + 2. Solve w*m = 13 - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7377194 to the nearest integer?\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15*c = 6. Suppose 2*t = -3*a - 2*t - 14, 4*a + c*t + 12 = 0. What is the units digit of -24*a\/(-16)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -750 - -762. Calculate the greatest common factor of y and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.88 (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/433475 and 73\/490.\nAnswer: 6068650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*j**2 - 14*j**2 - 48*j**2 - 1309*j - 32*j**2 wrt j.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let a(d) = -d**3 + 10*d**2 + d - 9. Let k be a(10). Let g = 5 - k. Let w be l(g). Solve w*o + 3 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-675)\/(-1080) - (-369)\/24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -252347 - -122?\nAnswer: -252225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-14)\/4)\/7)\/(1\/(-4)). Suppose -q + 4 = s. Solve -s*i = -y - 2, -4*i - 2*y = i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -458 + 424.3. Let s = 34 + g. What is the closest to -0.1 in s, 2, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841496643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.372522 centuries to decades.\nAnswer: 53.72522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h - 21 = 0. Let o(x) = -x**3 - 6*x**2 + 6*x - 5. Is o(h) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3739945727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4398 is divided by 2030.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 + -213. Which is smaller: m or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + y. Let r(s) = -18*s**2 - 36*s. Let q(g) = -8*b(g) + r(g). Find u such that q(u) = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d + 225029 = d. List the prime factors of d.\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:02 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 328635 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14984 - 164826\/11. Let i = 0 + 10. Which is the fourth biggest value? (a) r (b) i (c) 0.4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 0.9 (b) 0.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-15))\/(12\/(-3090)). Suppose -5*a + 2*o + c = 0, 0*a = -2*a + 3*o + 78. Suppose 1 + a = y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 3. Let l(t) = -t**2 + 2*t + 13. Let y be l(5). Let f = x + y. Let w(k) = k**3 + 3*k**2 + 2*k + 3. Determine w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 962 and 2350721?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 465 - 4?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**15*w**(-5\/4)*(w\/w**8)\/w**(-3\/26) assuming w is positive.\nAnswer: w**(409\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 190?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 1. Let x = 55 + -52. Put 1, v, x in decreasing order.\nAnswer: x, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4111762 and 88544.\nAnswer: 5534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 15*d**2 - d + 2*d - 17*d**2 + 397*d**3.\nAnswer: 397*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 213001123312 (base 4) in base 14?\nAnswer: 1503d42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51\/47 (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87339 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 8. Let j = d + 19. Let q = j + -15. What is the third smallest value in 2\/5, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 87\/115027 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*v + 3*v + 17, -5*a + 2*v + 30 = 0. Suppose 0 = 2*r + a + 66. List the prime factors of 21\/r + 23\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 10*z**2 + 0*z**2. Let s(m) = 2*m. Give s(u(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/m**(-1\/10))**(-6) assuming m is positive.\nAnswer: m**(-243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091331?\nAnswer: 3, 121259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313212 (base 4) to base 11.\nAnswer: -109a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 5*f**7\/14 - 7*f**3\/3 - 2*f. What is the second derivative of w(v) wrt v?\nAnswer: 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*a - 8 = 0, 7194*y - 7193*y + 8 = 2*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -56088?\nAnswer: -9534.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*h + 162. Suppose f + 4 = 0, -4*f = 2*m - f - 14. Let p = h - m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19644\/2143 and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8. Suppose 5*l + 2 + 8 = 0, 3*l + 6 = 4*y. Let a be c(y). Let p be a + 5 - 1*-6. Solve p*z + 15 = -3*t, 0*t + 5*z - 15 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 5:02 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + a + 0*a + 4 = 0, -a + 6 = 2*y. Suppose -3*c - 1425 = -3*u, y*c + 473 = -6*u + 7*u. What are the prime factors of u?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 48*j - 92. Determine g(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*j - 10 = 0, j + 1 = -3*d - 19. Let c(r) = -4*r + 6. Let i be c(-4). Suppose -y = y - i. Sort y, -1, d in ascending order.\nAnswer: d, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) -5 (b) -0.2 (c) 3 (d) -0.6 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.5 (b) 2\/5 (c) -60 (d) -7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**(-33)\/(i*i*i*i**(-1\/3)*i*i*i**(-2\/3)))**(-41\/4) assuming i is positive.\nAnswer: i**(533\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/2)\/(370\/(703\/(-19)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226.99 - -227. What is the nearest to -2 in -0.4, 4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 23*h - 2340 = 0. What is the greatest common factor of h and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwso when four letters picked without replacement from osccwsxocccsccoooco?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100110100111111 (base 2) in base 9?\nAnswer: 358735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 320*u**3 - 3*u**2 - 2*u. Let c be h(6). Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1295260 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**3 - 8*b**3 - 9*b**3 + (198*b - 61*b + 83*b)*(3*b**2 - b**2 - 3*b**2).\nAnswer: -227*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5535636l to millilitres.\nAnswer: 553.5636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-67804)\/(-335) + -196)*(-5)\/18\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-10)*(-32)\/24. Suppose -3*q = g*q - 29903. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -0.366679, 5 in descending order.\nAnswer: 5, 0.27, -0.366679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 75 - 74 + 42*y**2.\nAnswer: 29*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42868\/21434*(-4)\/(2*-1)*1*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*p = 9, 4*v - 7 = 4*p - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-266 - -2)*-13. Let i = d + -27397\/8. Find the common denominator of i and 73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-8)\/(-532) - 0. Which is the nearest to 2? (a) -2\/11 (b) f (c) 2\/9 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*j - 6, 8 = 5*j - 4*d - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(220\/8))\/((-592)\/555)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -6868 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 4, 2, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 - 55*y + 37. Let o(a) = 138*a + 45*a + 91*a + 59*a**2 + 15*a**2 - 186. Let j(x) = -14*h(x) - 3*o(x). Suppose j(i) = 0. Calculate i.\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441205.66 rounded to the nearest 10000?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57114\/11 or 5192?\nAnswer: 57114\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -474, 1, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 3:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 32*m**2 - 14*m - 37. List the prime factors of t(33).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1504560\/7?\nAnswer: -1504560\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3 - 1 - 2*r)*(-4*r + r - r).\nAnswer: -4*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5957 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -11. Let a = q + -8. Suppose -a*n - x + 29 = -67, 135 = 3*n - 3*x. What is the remainder when n is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 26*z**2 + 67*z + 65. Calculate the remainder when v(-14) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27025)\/(-3243)*6\/(-35)*42\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 20*u - 8. Let f be x(-5). Suppose 3*d = 32 - 5. What is the remainder when f\/(-10)*(-540)\/(-27) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167400 and 6510.\nAnswer: 1171800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -935, -4, -5, 1 in decreasing order.\nAnswer: 13, 1, -1, -4, -5, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005499923 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 945031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 232125431 to the power of 1\/2, to the nearest integer?\nAnswer: 15236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251362 (base 8) in base 13?\nAnswer: 2475b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*c - 53*c + 133*c - 33*c to the form j + l*c and give l.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 222, 442, 662, 882?\n\"Answer: 220*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316372799.\nAnswer: 8287, 38177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1909\/6 - -333. Let j = 2213575\/498 + 158\/83. Let d = j + -4433. Find the common denominator of d and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824, -6996, -23742, -56348, -110100, -190284, -302186?\nAnswer: -451092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.133 (b) 5\/2 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-24)*b)\/b*b\/(b\/(b*(b*b**(1\/11))\/b)*b) assuming b is positive.\nAnswer: b**(-263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1764526 (base 8) to base 10.\nAnswer: 518486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 150583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 464 = r - 463, -r = -4*o - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y - 3*i + 10, -2*y + 4*i = -70. Suppose -4*g + y = 493. Round g to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.032 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -429, -591, -695, -735, -705, -599?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 - -54576?\nAnswer: 545b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1782 - -3353. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4044539357 - 4044539359 + 8089078716.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:04 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let m be p(3). Let u = 1 - 1. Suppose -i + 8 = -u*i. Solve m*n + i = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/4760 and -89\/34.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22075 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 (base 8) in base 16?\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 14. Let s = v + 30. Suppose 3*l - s = 16. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-262)\/(-3)*6\/(-14) + 9000\/6300?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22316111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 14*s - 9. Let o be i(-15). Let h be o\/2 - 5\/5. Solve -h*y = a + 1, 3*y = 3*a + 3 + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l - 4*t + 994, -4*l + 2*t + 3904 = 0. Let u = -2178 + l. What is u rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186042, -2, -4, 0 in decreasing order.\nAnswer: 0, -2, -4, -186042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7454*u + 178888. What is p(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1))**(1\/16)*(m**(2\/7))**(-26))\/((m**1)**(-17)*m\/m**5*(m**(-5\/3)*m)\/m) assuming m is positive.\nAnswer: m**(5183\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmlfllzzrmrll. Give prob of sequence mm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005608 to 5 decimal places.\nAnswer: 0.00561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24837, -48456, -72061, -95646, -119205, -142732, -166221?\nAnswer: -189666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + f + 13 = 0, 27 = 3*x - 0*x + 5*f. Suppose 4 = 2*b + 4*j, b = 6*j - x*j + 18. Is 2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*j - 13 = -6*j, 0 = -4*l - j - 11. Suppose -4*v - 5*y + 8 = 21, 0 = v + 5*y + 22. Let i be (v\/4)\/(2\/8). Sort i, l, 1 in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:08 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2794, -1, -5, 0.5, -3, -0.1, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11 + 3 + 3*v + 0*v + 5*v - 10. Let a(k) = -k - 1. What is -3*a(g) - d(g)?\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 + 12 = 0, -8 = -b - 4*r. Solve 24 = -2*w - 4*q, b*w + 5*w = -3*q - 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:30 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:53 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 25*n**2 - 7*n. Let i be t(-7). Let c = i + 1331. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24326 - 16521. What is the greatest common factor of y and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108\/35 in 0.5, -8, -4, -21, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*q + 5*q - 4*q)*(-4 + 0 + 3) + (-2 + 2 - 2*q)*(4 - 2 - 3))*(0 + 0 + 3) in the form k*q + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 12*z**2 + 17*z + 31. Let k be y(13). Suppose -4*q = 2*i - 80, 4*i + q = 2*i + k. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyyyupaup. Give prob of sequence yyp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 - 3*q**2 - 27*q + 27 = 0 for q.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/42 - 1\/84. Let k = -1\/2 + s. Which is bigger: -24 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-299)\/(-6578))\/((-2275)\/(-182) + (-1 - 7)).\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5057, -20148, -45299, -80510, -125781?\nAnswer: -181112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 12*x - 15. Let a = -164 + 154. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612986 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/40*(-15)\/12. Solve -m - f*l + 5*l - 10 = 0, 0 = -4*m + 3*l - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20112202112 (base 3) to base 2\nAnswer: -11111011101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 0.66, -4, -0.2, 2\/9, 5, 1.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -5 + 15 - (27 + -10)) + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4546 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*-331.596\nAnswer: -1657.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 21 = k, 3 = -2*k + 13. What is the remainder when 36 is divided by (v\/8)\/((-6)\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1 + (13 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70694057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*w + 3*w - 11*n, -10 = -w + 5*w + 6*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) 371 (d) 51\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 712, 721, 740, 775, 832, 917, 1036?\n\"Answer: m**3 - m**2 + 5*m + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 1604*d - 3226*d + 1615*d + 0 + 0.\nAnswer: -4*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84 + 0*l - l - 105)*(-1 - 1 + 3) to the form p*l + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:36 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -7 in increasing order.\nAnswer: -13, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5413.\nAnswer: -4\/5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/85*(-10)\/(-18))\/(14\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 330*n. Let m(y) = -363*y**2 + 77*y. Let v(k) = 14*k**2 - 3*k. Let c(o) = -3*m(o) - 77*v(o). Calculate c(d(s)).\nAnswer: 1197900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13*((-462)\/(-297) - 24\/(-54))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 5.3. Let d be 1 + 0*2\/4. Let m be (d\/2)\/(1\/(-3)). What is the closest to 0 in 4, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13599745200 rounded to the nearest one million?\nAnswer: -13600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -935*x - 594*x + 273*x + (0 - 3 + 1)*(3*x + 4*x - 5*x) - x + 0*x - 2*x - x + 3 - 3 in the form u*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 25*q + w + 38, w + 4 = 0. Let d be -5*(3 - 33\/15). Let y = d - -4. Sort 4, y, q.\nAnswer: y, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5315*y + 5312*y - 15 = -2*r, -2*r + 3*r - 4*y - 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 - 10*g - 5*g**2 + 16*g + 0 + g**3. Let f be w(5). Calculate the highest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogonngno. Give prob of sequence oo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 + 15559.\nAnswer: 15490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:35 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) + (73450\/35)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -81*d - 13701. What is t(-169)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 122, 231, 396, 623, 918, 1287, 1736?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*d**2 + 78*d**2 + 78*d**2 + 87*d**2 + 73*d**2 - 411*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11264724.\nAnswer: 2, 3, 37, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from oqooqoooqoyoyooqqqo.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 - 268. Let t be b\/8 + (0 - 25202\/4). Round t to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -6\/978929?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/5)*u)**(-25)*(u**(-2\/23))**48)**(-28) assuming u is positive.\nAnswer: u**(47768\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 10. Let k = -16 + q. Which is the second biggest value? (a) -5 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (25 + (18 - 29) - 53)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -94*s**2. Let h(z) be the second derivative of -z**4\/12 + 55*z. Calculate h(r(f)).\nAnswer: -8836*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29546 is divided by 1182?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 310 - 292. Let v be 1\/(-2)*-2 + 1. Suppose -l - 137 = -5*q, -v*q + 3*l - 6*l = -48. Calculate the highest common divisor of q and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*y = -70, -2*q - y - 33 = -2*y for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3421834038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*(-126)\/(-70).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5124 and 90.\nAnswer: 76860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8590 and 43\/32299259.\nAnswer: 322992590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 115490 - 256843036\nAnswer: -256727546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {v: 9, j: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39336170 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25366375 to the power of 1\/2, to the nearest integer?\nAnswer: 5037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/(-20)*(-90)\/(-4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2303*y + 126910 = -4116*y for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 3532*z**2 - 38048*z - 279040.\nAnswer: -4*(z - 872)*(z - 16)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + 1*sqrt(1584) - sqrt(1584))**2 + -2*-3*(-5 + sqrt(1584)).\nAnswer: -2 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) -0.07 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130622661 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3248 (b) 2\/11 (c) -12\/13 (d) 0.4 (e) 1\/5 (f) -3 (g) 1\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*h**6 + h**5 + 165*h**2?\nAnswer: -3960*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182513005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1155 - -1152. Sort 3, -1974, a in descending order.\nAnswer: 3, a, -1974","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzt when three letters picked without replacement from {z: 1, p: 2, a: 4, t: 3, k: 4, x: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/5 + 14936*m**3\/5 + 14032084*m**2\/5 + 166775376*m\/5 + 498718224\/5 = 0. Calculate m.\nAnswer: -1861, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28700*m**2 + 13*m + 1105?\nAnswer: 57400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/68, -0.4, 1\/10, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/9))\/x*x\/(x*x\/(x**(-6)*x*x))*(x**(1\/2)*x)\/x**6*(x**(3\/7)*x*x\/x**(2\/13)*x*x)**(3\/43) assuming x is positive.\nAnswer: x**(-663769\/70434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 0*w + 3*w + 0*w + 7. Let f be v(5). What is the tens digit of (f - 1)*(-132)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1709 - 1529. Calculate the least common multiple of h and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 12. List the prime factors of m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10\/9)\/(a\/((a**(4\/17)\/a)\/a))*(((a\/a**(-4\/17)*a)\/a)\/a)\/a**(-17) assuming a is positive.\nAnswer: a**(2044\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1 + (3 - 2 - 7)*(0 + 1 - 2) + 0 + 1 - 2)*(-i - 4*i + 0*i)*(0*i + 0*i - i) to the form g*i + j*i**2 + x and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 905965*b - 9059150.\nAnswer: -5*(b + 10)*(b + 181183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 7*f. Solve f*x - 3*x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*h - 17*h - 2 + 1 as v*h + g and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1650 + 1535. Suppose 3*s = -4*q - 464, -4*s - 580 = 5*q + s. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28123350*k**3 - 112580*k**2 + 338*k\/3.\nAnswer: 2*k*(6495*k - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -1\/2*c**2 + 3*c - 1. Suppose n = -3*n - 3*n. Give d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 3 + 0*f)*(95*f**3 - 95*f**3 - 72*f**4).\nAnswer: 144*f**5 - 216*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -16*v**5\/15 - v**4\/12 - 7*v**3\/3 + 19*v**2. What is the second derivative of c(q) wrt q?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 1786971236.44.\nAnswer: 1786971233.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2\/7)*v*v**(2\/7))\/(v**1)**12*(v**1)**22*v**(2\/3)*(v\/((v\/(v*v**(-2)*v))\/v)*v)\/v assuming v is positive.\nAnswer: v**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, -3\/5, 0.49, 0.28 in descending order.\nAnswer: 0.49, 0.4, 0.28, -3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1735 + 1735 + 915*h in the form v + w*h and give w.\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31548478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 921 + -552. What is the highest common factor of 82 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60a - -5?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + n + 0*n)*(-4*n + 5*n - 2*n + (4*n + 0*n - 2*n)*(4 - 2 - 3) + 3*n - n - n + 1 - 3*n - 1) to the form a*n**2 + b + m*n and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 15. Let k = 45 - 40. Let v be w(k). Suppose -6*h = -h - 5*o - 35, 0 = -3*o - 9. Solve 0 = c + 2*u - 10, -3*c = -u - h - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 3, g: 1, c: 2, q: 7, n: 1}. What is prob of sequence cqk?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6603 - 6598. Which is the second biggest value? (a) 0.1402 (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -0.4, -1\/6, -2, -0.72 in decreasing order.\nAnswer: 0.07, -1\/6, -0.4, -0.72, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 4*w + 4*w + (-w**2 + 0*w**2 - w**2)*(2 - 2 - 2) + 0*w**2 + w**2 - 3*w**2 - 190*w**2 + 341*w**2 - 86*w**2 + (-3*w + 3*w + w**2)*(4 - 5 + 4).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3040 or -33621?\nAnswer: -33621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 2. Let s(i) = -i + 5. Let r be s(5). Suppose -j - 3*y + 6 = -r*j, 3*j = -5*y + 6. What is the units digit of v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2284, 4566, 6848, 9130?\n\"Answer: 2282*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 6*a - 4. Let n be i(-7). Suppose n*r - 6 = 21. What is the remainder when 32 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 43, 139, 325, 631, 1087?\n\"Answer: 5*g**3 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 275*f**2 - 803*f + 42. Determine m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -0.19. Let k = -0.1 + b. Let h = 7 - 12. Is k not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) 1\/2 (d) -970 (e) 5 (f) 25\/4 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1518 = 4*p - 1490. Calculate the common denominator of -101\/30 and ((-5)\/3)\/(p\/(-104) + 9).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -15\/2*s**4 - 24*s**2 + s + 0*s**5 - 1\/6*s**6 + 5 + 0*s**3. Find the second derivative of r(n) wrt n.\nAnswer: -20*n**3 - 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 - -226. Suppose 42 = -t*k + 48. Solve w - 7 = -j - 0*j, k*w = 2*j - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.1, -100, -13\/12, -1\/9, 8, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/4597?\nAnswer: 3\/4597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 + 16*q + 15. Let z(f) = 10*f**2 - 16*f - 14. Let g(b) = 3*i(b) + 2*z(b). Let t(h) = h**2 - h + 1. Let o(u) = -g(u) - 3*t(u). Calculate o(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -147, -331, -587, -915, -1315, -1787?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 88 = -12. Suppose -3*z + 11 = -m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 446 (b) -5 (c) -0.77 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*t - 14 = 3, -2*n + 2*t = -24. Let j = n + -4. Let m be 2\/(-6) - 449\/j. Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q + 1134 = 5*t, -2*t + 4*q + 448 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y - 1. Let n(t) = -5*t**3 + 5*t + 14. Let h(o) = n(o) + 6*x(o). Let s be h(0). Solve 12 = -4*j - s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**4\/12 + o**3\/6 + 4*o. Let r(g) = 4*g**2 + 4*g - 2. Give 3*k(z) - r(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155400, -155416, -155434, -155454?\nAnswer: -155476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/19, -20893, -10.\nAnswer: -20893, -10, -3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 179 = -23*x + 28 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18*u)\/u**(-1\/8) assuming u is positive.\nAnswer: u**(153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -3\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -127\/13639797 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2 and -47\/173?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*t - 4. Suppose 0 = t*p - 3074 + 162. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 5*c - 9. Suppose -u + 215 = -c*x - x, x - 1117 = -5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 16 (b) 3\/2 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1647127934 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 288 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*((-2679)\/(-6))\/1. What is the units digit of (-4)\/3 - z\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfhdu. What is prob of picking 1 f, 1 u, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 48986*w + 2596252. What is c(-53)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 51*m - 40*m - 2*m**3 - 5 - 17*m - m**3 + m**3 + 2*m**3 + (0*m**2 + 0*m**2 - m**2)*(0*m + 0*m - m) to w + c*m**2 + q*m + o*m**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 79*p. Let h be q(-1). Let d = h + 127. What are the prime factors of (-4)\/(-10) - d\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let c(u) = u + 2*u + u**2 + 3 - 3*u + 10*u. Let w(r) = -2*r**2 - 21*r - 7. Let n(j) = 7*c(j) + 3*w(j). Calculate -5*i(p) - n(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*x + 17*c - 27 - 4 = 21*c - 15, -c = 5*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (4 + 2 - 4)*(3 - 2 - 2))*(3 - 7*i**4 - 3) - i**4 + 0*i + 0*i + (-i + i + 2*i**2)*(-5*i**2 + 2*i**2 + 5*i**2) + 0*i**4 + 2*i**4 - 4*i**4.\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/344 and 87\/176.\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, -8*s + 3*s = 2*o - 35. Let k(x) = -3*x - 11 + 107*x - 99*x. Calculate k(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 85\/20 - (-1)\/(-4). List the prime factors of (-38)\/(-4) + (-6)\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8045?\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*i = 1176597 + 14062486, -2*i - 5079695 = t. Let n = t + 27979210. Let q = n - 33699517. What is q rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2)*5\/80.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-13 - -11)\/((-6)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**17\/m)\/m**6)\/(m**(-6)*(m*m**(-14)*m*m)\/m))**(-35) assuming m is positive.\nAnswer: m**(-1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388025?\nAnswer: 5, 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. Let l be (-2)\/5 + o\/70. Let k = 8 + -6. Which is the smallest value? (a) 0 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2353 and 2344 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/6 + (-202)\/18. What is the closest to 3 in 4, c, -1\/2, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11230584, -22461151, -33691708, -44922249, -56152768, -67383259, -78613716, -89844133?\nAnswer: -101074504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2 - 2)*(-3*n + 5 - 5) + 75*n - 75*n - 10*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -5057 - 549703. What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 1 + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -2440, -3650, -4854, -6052?\nAnswer: -7244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 7 - 7 + (4 + i**2 - 4)*(-i - 1 + 1).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Let s = 2 + 4. Let f be 0 - (0 - s\/2). What is the nearest to -0.2 in 5, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 + 1)*((-1 - l + 1)*(2 - 3 + 0) - 2*l + 0*l + 0*l) to z + a*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elslzzm. Give prob of sequence sem.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 4) to base 15\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/8 + (-26129)\/(-68). Suppose o = -4*q + 2029. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 5*x**2 + 3*x - 3. Let r be p(-4). Let q be (15\/6)\/5*-2. Which is the closest to q? (a) r (b) -0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5) + sqrt(50)\/(sqrt(10) + sqrt(20)\/sqrt(2))) + -3)**2.\nAnswer: -4*sqrt(5) + 101\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose u*j - 25 = -s, -3*j + 0*s = -s - 50. Suppose j = p + 2. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1040*l**2 + 10573*l - 1733. Determine d(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 253, 63, 7, -5 in decreasing order.\nAnswer: 253, 63, 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92501307 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48063850 a multiple of 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27294495 or 27294500?\nAnswer: 27294500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 10*j + 20, -6 = -2*l - 3*j. Solve -4*o - l = -7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -2*t - t, 3*x - 14 = -t. Let u be 16\/6*(-4 - 27\/(-6)). Which is the closest to -0.1? (a) u (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 58*k**2 - 17*k - 6. Calculate h(-28).\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5944.192ml to litres.\nAnswer: 5.944192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 5*p - 3 - 4*p - p**2. Let h be (-14)\/6 - 4\/(-12). Let z be k(h). Solve -5*i = z + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960241 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiihiihihii.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d - 2*z + 53, -2*d + 22 = z. Suppose 0 = -2*g - 2*o, 3*o = g + 7 + d. Sort 4, g, 0 in ascending order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4514 by 2.\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and -44\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - t)*(t - 4*t + 4*t) - 111 + 111 - 2*t**2 + 113*t to the form q*t + x + u*t**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.0509 and -0.2?\nAnswer: -1.21018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/15 + 9428*c\/15 - 6288\/5 = 0?\nAnswer: -4716, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47248 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4180054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(240)\/(sqrt(16)\/sqrt(4)*4))\/((sqrt(1728) + -2*sqrt(1728))*-6).\nAnswer: sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = 7*z. Let d be z\/(-1) - (-1492)\/(-120). Let o = -48\/5 - d. Which is the third biggest value? (a) -8 (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 20. Let z be 511\/35 - i\/15. Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5691236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20)\/((-13)\/(-52)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4360 and 1090?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1001, 2641, 5357, 9125, 13921, 19721?\nAnswer: 26501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Let h be w\/(-15)*18\/(-3) - 66. What is the units digit of (18\/4*1)\/((-6)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5409708 or -5409709?\nAnswer: -5409708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 17*z**2 - 14*z - 22. Let n be y(16). What is the second derivative of -4*p + 30*p - 6*p + n*p**5 wrt p?\nAnswer: 200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403007 divided by 1487?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 4, w: 3, i: 7}. What is prob of sequence zoiz?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*19\/(-2)*312\/(-30). Let y = o - -765. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -4284.99\nAnswer: -4284.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 1, i: 1, q: 1, s: 1, m: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -7*u + 30. Let p = u + 12. Let r(d) = 2*d**3 + 2*d**2 + 4*d. Let q(f) = -f**3 - 2*f**2 - 3*f. Determine p*r(x) - 4*q(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20610309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r + 6. Give a(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 453 - 5.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -2258, 3 in ascending order.\nAnswer: -2258, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/1610)\/(284\/(-99400)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/8*(2 + -26). Let o be -12*-2*(-1)\/(-3). Let i be (r\/12)\/(2\/o). Which is the third biggest value? (a) i (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7 - 13. Let f be (-36)\/30*40\/h. Sort f, -4, 0, 3 in decreasing order.\nAnswer: f, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 - 28632*g**2 + 3825745*g = 0?\nAnswer: -28765, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + c = -0*l + 1233, 5*c + 504 = 2*l. What is the greatest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z - 0*c - 33, -4*c = -4*z + 44. Suppose -4 = -5*h + z. Suppose 0*l - 12 = -h*l. Solve 0 = l*x - 6 + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -475280173, -475280174, -475280175, -475280176, -475280177?\n\"Answer: -i - 475280172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 227*j**2 + 6515*j - 7148. What is v(51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -81782 times 2.8\nAnswer: -228989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k + 14. Suppose k = 2*s - s. Suppose -c - y + s = y, -5*c + 23 = 4*y. Solve 10 = c*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -56*m - 60. Let f be o(-1). Put -51, -5, f, 2 in decreasing order.\nAnswer: 2, f, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -20*t + 7. Suppose 5*y = 3*c - 21, 0 = y - 2*y - 3*c - 15. Is m(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gll when three letters picked without replacement from lllglgl.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/35 and 1\/65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 5. Let k be m(-9). Let o = k + -9. What is the second derivative of -3*g**3 + 2*g**4 - g**o - 2*g + 3*g**3 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (601 - 325 + 121 + 1949)*(3*p - 19*p**2 - 24*p**2 + 47*p**2).\nAnswer: 9384*p**2 + 7038*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c (base 13) in base 5?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:47 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/3)\/(s**(-2\/23)\/s)*s**(-2\/17)\/(s\/s**(-3)) assuming s is positive.\nAnswer: s**(-3164\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/7 of a week?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6371336*b**2 - 2*b + 15115607 wrt b.\nAnswer: -12742672*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013871029 rounded to 6 dps?\nAnswer: -0.001387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 25*n. Let h(t) = 3*t**2. Give h(c(g)).\nAnswer: 1875*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + -3 + -1 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40495706.71 rounded to the nearest ten thousand?\nAnswer: -40500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1451 and -405 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 9*j**2 + 8*j - 11. Let a = 1524 - 1534. What is n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (30 + 0)\/(-6). What is the hundreds digit of (f - -6)\/(2\/(-726))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(180) + sqrt(180)*1 + -3).\nAnswer: -20 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -247 + -b?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-9)*s)*s**(1\/4)*(s\/(s*s**(6\/5))*s)\/(s*s**4*s))\/((s\/s**(-3\/2))\/s*s**(1\/4))**22 assuming s is positive.\nAnswer: s**(-729\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57*n**2 + n - 4. Let k be (5 + 1)*3\/(-9). Let b be l(k). Suppose i + 60 - b = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*u**2 + 10383*c**2*u - 2*c*u**2 - 3366*u**2 wrt c?\nAnswer: -4*u**2 + 20766*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 3872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 47*x - 91. Let w be a(2). Suppose -4513 - 13196 = -w*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:27 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/27 - 101\/135. Let f be (-53)\/(-106) + (-2)\/4*109. Let p be (-36)\/f*3\/(-2)*-3. What is the nearest to 2 in p, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 + -350. Let a = 91 + w. What are the prime factors of -5 - (4 + -5) - a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766559845.\nAnswer: 5, 41, 59, 559451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.902096 + 45.\nAnswer: 46.902096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1045317012 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0672764 litres in millilitres?\nAnswer: 67.2764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 19*l**2 - 2*l - 43. Let a be m(-19). Let x(h) = -h**3 - 5*h**2 + h. Determine x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or -0.07?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*g - 2. List the prime factors of (-20538)\/(-70) - (-2)\/g.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {d: 3, j: 2, m: 2, r: 2, z: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -9*b + 4*k + 149, -3*b = -4*k - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a. Determine c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -2511457?\nAnswer: 2511457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21168634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 8 = 17*g + 4*w, -4*g - 3*w = -17. Let x = -10 - -6. Which is the nearest to g? (a) -0.06 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.21 (b) -0.4 (c) -853\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 10*m - 6. Let s be v(-10). Does 14 divide (-4771)\/(-8) + (-4)\/((-64)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/4 - s**3\/3 - 27*s - 3. Let u(k) = -7*k**2 + 5*k. What is -15*r(i) - 6*u(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080469 rounded to four dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*f - 1204 - 224 = 0, 0 = p + 4*f - 268. Let a = 446 - p. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - u + 0 + 1. Let r be (60\/9)\/(29\/(-6) + 5). Let b be 4\/(-14) + (r\/(-7) - -1). Determine z(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*4)\/4 + 0. What is the second derivative of 111*s**3 - v*s - 111*s**3 - 7*s**4 wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 - 167. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1614 and 55\/1228254.\nAnswer: 1228254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 848738563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a. Let n(h) = h. Let t(k) = -7*n(k) - 2*x(k). Let y be (-3)\/6 - 5\/10*-11. What are the prime factors of t(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let n = -22\/69 + -1\/69. Let m = 4 - 1. What is the closest to k in -0.4, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) -12 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 8. Suppose -18 = -3*s + 4*s + 5*t, 4*s = -k*t - 18. What is the third biggest value in 0.3, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 61869, 31 in ascending order.\nAnswer: 31, 34, 61869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:41 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14519 take away 14?\nAnswer: 14505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 295*n**3 + 282*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 21 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*k - 237*k = -90 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from iagnbbbbna?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*q - 28, 5*q = -5*a + 13 - 113. Is a greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*n**5 - 5\/2*n**4 + 0*n + 0 - 14*n**2 + 13*n**3.\nAnswer: -n**2*(n - 2)**2*(n + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 2, -4, 52.2, -189 in decreasing order.\nAnswer: 52.2, 8, 5, 2, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 - 8*t - 6. Let v be x(-3). What is the smallest value in 0.187, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 9*z + 10. Let p be c(-8). Suppose g - 7 = -p. Solve -18 + 3 = g*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 13) + (2 + -9 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.6 + -6.4. Let w = -52 - l. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362137037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.65 + 3.35. Let r = -0.45 + 0.4. Let i = r - -3.05. What is the third smallest value in p, -0.1, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32688270*l*n**3 + 32*l*n**2 + 126*l*n + 133*l wrt n.\nAnswer: 196129620*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**7\/210 + n**6\/120 + n**2 + 2. Let f(i) be the second derivative of k(i). Determine h, given that f(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101709 + -5999595?\nAnswer: -5897886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y - 6*y**2 - 1795*y**3 - 1813*y**3 + 3635*y**3 in the form m*y + i*y**3 + p*y**2 + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + 5*t - 27. Let a(k) = -13*k**2 + 20*k - 114. Let r(l) = -2*a(l) + 9*n(l). Determine r(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 8 + 2*o**2 - 83.\nAnswer: 2*o**2 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 19*x**2 - 18*x**2 + 40*x**2 + 3*x - 4. Give f(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 86, 108, 126, 146, 174, 216, 278?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106564 divided by 4.\nAnswer: 26641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-90)\/44 + 2). What is the greatest common divisor of w and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 - 8*y + 3. Let w be t(-7). Let d = w + 173. Calculate the highest common divisor of d and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 0.4, -2, -5 in descending order.\nAnswer: 0.4, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 19.2. Put -9, u, -2, 3\/4 in descending order.\nAnswer: 3\/4, u, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 140 = q. Suppose -768 = -4*u - q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + 154*f - 431 - 163 = 0. Solve 16 = f*o + 5*d, -2*o - d = -2*d - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:10 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 162, 2\/49, 1\/11?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603*l + 4411 = 614*l. Let a = 421 - l. What is the greatest common divisor of a and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1209 divided by -403.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 + 40 - 219 + 26)*(-13*a + 4 + 2 - 8).\nAnswer: 3224*a + 496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 6521522 = 11*l - 0*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 - 12)\/((-4)\/2). Suppose q = 6*y - 25 + 7. Solve 4*v = -5*b, 36 = y*v - 2*b + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45459*u = -46005*u + 57876 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19198173, -19198175, -19198177, -19198179, -19198181, -19198183?\nAnswer: -19198185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 3 + 12*n**2 - 13*n**2 + 2*n. Let w be z(-3). Suppose 6*p - 10*p + 56 = w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317148 or -1268589\/4?\nAnswer: -317148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -182 + 959?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 67*b - 9. List the prime factors of q(4).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1157214, -2314710, -3472204, -4629696?\nAnswer: -5787186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 + 40*o**3 + 6*o**2 + 5075*o wrt o?\nAnswer: -24*o**2 + 240*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9476 - -9487. What is the smallest common multiple of 2 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 10*g**4 + 2*g**4 + (-g**3 + 0*g**2 + 0*g**2)*(-65 + 25 + 9*g + 38).\nAnswer: 6*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/321749 or 1?\nAnswer: 68\/321749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7651\/5 (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)\/x**(-2\/15)*(x\/(x*x\/((x\/(x\/((x**(2\/5)\/x)\/x)))\/x)))\/(x*x**(-4\/5)) assuming x is positive.\nAnswer: x**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**2*f**4 + b**2 - 10*b*f**4 + 2*f*i - 925*i with respect to f.\nAnswer: 20*b**2*f**3 - 40*b*f**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47640 = 89*z - 93*z. Let c = z + 738375\/62. Let l = 1913 - 34327\/18. Find the common denominator of l and c.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 941267.25 microseconds?\nAnswer: 0.000010894296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 8*p**2 + 8*p - 9. Let b be o(7). Let l be (b - 21\/(-9))*12. Suppose -5*v = -2*h - 4*v + 68, l*h = 4*v + 132. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a3a1b (base 14) to base 3.\nAnswer: 1202100201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:58 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 + 177*r**3 - 6312*r**2 + 28132*r - 32448 = 0 for r.\nAnswer: -208, 2, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-25)*(3150\/8400)\/((-3)\/4).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 352398220, 352398221, 352398222?\n\"Answer: d + 352398219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315*j = -2341*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5291*x**2 + 440*x. Let k(r) = 196*r**2 + 16*r. Calculate 55*k(q) - 2*o(q).\nAnswer: 198*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779261181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqeeeqq. Give prob of sequence eqq.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*g**5 - 6*g**3 - 766*g**2 + 1?\nAnswer: -4200*g**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*u + 1245*u - 83*u.\nAnswer: 1031*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244.2 + -239.2. Which is the nearest to -0.2? (a) 1\/4 (b) o (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 33*j**2 + 1 + 37522*j - 1 - 34*j**2.\nAnswer: j**2 + 37522*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 5394\/27 + -2. Let l = j - 200. Which is the third biggest value? (a) -4 (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 - -158. Let i(k) = 57*k**2 + 4. Let c(j) = 1. Let y(d) = z*c(d) + i(d). What is the first derivative of y(g) wrt g?\nAnswer: 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g. Suppose -k + 36 = -5*i, -2*i + 6*i = -k. Let o be k\/28*7\/2. Let m(d) = 2*d - 2*d + o*d - d. Give m(j(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1271 = 4*q, 4*q - 1264 = -3*u - u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234*f**2*q**3 - f**2*q**2 + 4685*f**2 - 2*f*q**4 + f*q**3 + q**3 wrt q.\nAnswer: -1404*f**2 - 48*f*q + 6*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/18? (a) -0.084 (b) 1.61 (c) 1\/19 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81.6 in 31, 3\/5, 1\/5?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800457?\nAnswer: 3, 7, 47, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, j: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2859*i + 2862*i - 39. Suppose z - 2 = 2. Let d = -15 - -11. Sort z, d, i in increasing order.\nAnswer: d, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p - 7*r + 26 + 170, -2*r - 40 = 4*p - 6*r for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11312 and 35588?\nAnswer: 14377552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 30, 51?\n\"Answer: 21*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22\/175 - -72\/175. Factor -2\/7*w**5 + 4\/7*w**2 + b*w + 0 + 0*w**3 - 4\/7*w**4.\nAnswer: -2*w*(w - 1)*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 86. Let n(h) = -13. Let a(g) = 12*n(g) + t(g). Determine a(0).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11193 + -11190. Solve -c*b + 2442 = 2454 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.943 and 0.2.\nAnswer: -0.1886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 2*c - 2. Let d(t) = 8*t**2 - 12*t - 12. Let k(j) = d(j) - 6*h(j). Let a(g) be the first derivative of 3*g**3 + 1. Determine a(k(m)).\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -5\/4*d**4 + 3*d + 0*d**3 + 4 + 0*d**2. Differentiate g(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (15 - 35) + (-21 - 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00838602237 rounded to four dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 46714*a - 7809636 = 0.\nAnswer: -23523, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 8*m + 35*m**3 + 7*m.\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, 3, -1, -142, -3, 5 in decreasing order.\nAnswer: 276, 5, 3, -1, -3, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 22*z + 18. Let l be w(-17). Let j = l - -107. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = m, 3*w + 2*m - 6*m = -28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28839125531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 5*t - 5 = 0, 22 = 4*b + 5*t. List the prime factors of 12\/b*(1 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/4 + 19*t**3\/3 + 19*t**2\/2 + 28*t - 366. Determine c(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 444524 = -2*w. Let j = w + -544262. Round j to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 25, -5, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Solve -k = 3*w - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/4 + 194*u**3\/3 + 257*u - 336. What is the derivative of y(p) wrt p?\nAnswer: 3*p**2 + 388*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*t**3 + 1038609*t**2 + 69678664 wrt t?\nAnswer: -243*t**2 + 2077218*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*f - 5356 - 876 = -14*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140744654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1784 (base 16) to base 12\nAnswer: -3598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = 4*m. Let b(x) = 4*x - 1 - 6 + 0*x**2 + x**2. Let w be b(m). Solve -5 + 0 = w*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.5 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7776 and 189?\nAnswer: 54432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 7 - 6) + (-63 - -79)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 4. Let d(g) = 10*g - 10*g**2 - 1337 + 2*g**3 - 1339 + 2676 + 3*g**3. Let b be d(1). Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/18009, -5, -5\/3, 35?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 1. Let t be z(-1). Which is the closest to 0? (a) 6 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, j: 1, n: 2, h: 2}. What is prob of picking 1 t and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -45.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfx when three letters picked without replacement from {x: 6, f: 3, s: 8}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 8) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1858247, 3716495, 5574743, 7432991, 9291239?\n\"Answer: 1858248*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2827430, -5654859, -8482288, -11309717, -14137146, -16964575?\n\"Answer: -2827429*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvvqvveqceqaeqae. What is prob of sequence vvc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/10, -0.5, 1\/17?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 - 1\/30*f**5 + 0*f + 0*f**4 + 0*f**3 + 8*f**2. Let o(c) = -2*c**2 + 0*c**2 - 3*c**2. What is l(o(x))?\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 226. Suppose -45 = -s*q + 27. What is the closest to -1 in q, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 189*a + 1. Let t be d(3). Suppose -3*l + t = l. Suppose 4*u + l = 5*v, -9 = -3*u + 6*u. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -33.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, z: 1, r: 6, x: 2, o: 1}. Give prob of picking 1 p, 2 o, and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7733 - -8441. Calculate the smallest common multiple of l and 1593.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166600622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2088 - -757. Let a = -1678 + p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/((-44)\/1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 108*m**2 + 2881*m - 1176. Give n(-58).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-14) + 16867\/7070.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-14)*(-7)\/35\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 11*r + 7*r = 8, 2*r + 8 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 4, e: 4}. What is prob of sequence pps?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v**2 + 5*v - 2. Let t(a) = -8*a**2 - 3*a + 1. Calculate 7*t(h) + 4*y(h).\nAnswer: 12*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 11*v**2 - 4*v**4 - 37870101*v + 37870102*v + v**4 + 2*v**3 to s*v**3 + y*v + b*v**4 + h + k*v**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let m(c) = 6*c**2 - 5*c - 7. What is m(b(o))?\nAnswer: 54*o**2 + 15*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*u**2 + 3*u**2 + 0*u**2) + (-2*u**2 + 0*u**2 + u**2)*(-4 + 1 + 2) + u - 3*u**2 - u - 2*u**2 + 4 - 4.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t*(t\/(t**3\/t))\/t*t))**(-14\/3)*((t*t**2\/t)\/t)**(-12))**12)**(1\/5) assuming t is positive.\nAnswer: t**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 66. Let q(t) = -8*t - 197. Calculate -11*a(y) - 4*q(y).\nAnswer: -y + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.86919 days in weeks?\nAnswer: 43.12417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*r + 124*r - 42*r.\nAnswer: 548*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -49*i - 6. Let w(j) = 91*j + 14. What is 5*d(m) + 2*w(m)?\nAnswer: -63*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 18 - 25)*(6*c**4 - 5*c**4 + c**4).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -311*q**2 + 7*q + 6. Let c(u) = -2*u + 2. Let l be c(3). Let x be g(l). Is x\/(-35) + 1\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -38. Let i = v + 10. Suppose -5 = 5*n - 4*n - i*z, -5*n = 5*z - 5. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 less than 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-14)*((-9744)\/(-29))\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245, 921, 2053, 3641, 5685?\n\"Answer: 228*u**2 - 8*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33121 (base 13) in base 2?\nAnswer: -10110100100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -0.2 (c) -0.5 (d) 1.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 5669\/2 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133651 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)\/(d\/(d\/(d**(-1\/8)\/d)))*d*d**(2\/3)\/d*d*d**(2\/5))\/((d**(-1\/4)*d)**(-2\/19)*(d**(-2\/3))**(-35)) assuming d is positive.\nAnswer: d**(-138749\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + -0.31. Let b = 1.28 + a. Let l = 0.7 - b. What is l rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 + 3*a**3 - a**2 - 2*a - 6 in the form u*a + b*a**3 + i + r*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111\/5 + 22. Which is greater: -1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 7\/2*n**2 + 0 + 2*n - 1\/2*n**3. Suppose 0*m = -3*m - 3*k + 15, 10 = 2*m - k. What is b(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2552 and 8553347?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 945.932 nanograms?\nAnswer: 0.000945932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21843, 21847, 21855, 21867, 21883, 21903?\n\"Answer: 2*r**2 - 2*r + 21843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 13*v + 16. Let d be q(-14). Solve 2 = d*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 7164*f**3 + 4416768*f**2 - 1015234560*f + 48157949952.\nAnswer: 4*(f - 576)**3*(f - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m*m*m**(-6\/5))\/(m**(-2\/7))**47 assuming m is positive.\nAnswer: m**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f**2 + 2*f - 3. Let q be l(1). Let h = 15 + q. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q**3 - 3*q**2 - 14*q - 6. What is the units digit of k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 3*v + v)*(6 + 1 - 2)*((2 + 3 - 6)*(-3 + 3 - 1) + (5 + 1 + 0)*(-5 - 1 + 2)) to d*v + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.012 and 404.7.\nAnswer: -4.8564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.1 - -21. What is r rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6956, -6952, -6948, -6944, -6940?\nAnswer: -6936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7296*q - 486. What is the tens digit of h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (2 - 3) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 54?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 83*l**2 + 854*l + 38. Calculate c(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -11. Let w = -203 + 221. Let q = w - p. Which is the third smallest value? (a) -0.3 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221101122 (base 3) in base 7?\nAnswer: 104654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/300 + 2*z**5\/75 - z**4\/12 + 2*z**3\/15 - 5*z**2 - z. Factor j(t).\nAnswer: -2*(t - 2)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47125\/(-169) + 0 + (-4)\/26. Let w = -255 - v. Suppose -59 = -2*s - 11. Calculate the highest common divisor of s and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -510 + 515. Solve -2*i + 29 = -5*g, -i + 27 = -q*g - 0*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*y**3 - 123 + 63 + 63 - 11*y wrt y?\nAnswer: -318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206998 + -59151. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210121 (base 3) to base 9\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-1*6)**2.\nAnswer: 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24955 + -24958. Which is the closest to 1\/3? (a) x (b) -104 (c) -2\/9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26978 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36402116 to the power of 1\/2, to the nearest integer?\nAnswer: 6033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m**2 + 66*m**2 - 119*m**2 + 1091*m**3.\nAnswer: 1091*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x - 1. Let c(f) = -f**2 - 2*f + 25. Suppose j + 2*j = -5*o - 25, 4*o - 12 = 4*j. Let w(u) = o*y(u) + c(u). Let n(z) = z. Give w(n(s)).\nAnswer: s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448911.\nAnswer: 3, 31, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*m**3 + 152*m**3 - 73*m**3 + 5*m + 1 - m**4 as a*m**4 + b + f*m**2 + i*m**3 + z*m and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (-1 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 43. Suppose -51*s + 4 = -p*s. Let j be 2*4\/s + 19. Let o(v) = -23*v**2 + 17*v - 20. Let z(a) = -8*a**2 + 6*a - 7. What is j*z(y) - 6*o(y)?\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35899.\nAnswer: 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -26. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 not equal to 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-4)*(-8364)\/(-13243)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18262 - 1187*h**3 - 18270 + 54803 - 18271.\nAnswer: -1187*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2504831 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5922 = 429*p - 7090 - 5321 + 6750 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53748 + 25978 + 26135)*(-3*r - r - r) + (4*r - 2*r - 3*r)*(-2 + 2 + 2) as n + v*r and give v.\nAnswer: 8173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8*s + 9. Let c(w) = 1. Let a(d) = 4*c(d) - m(d). Give a(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -85, -14 in increasing order.\nAnswer: -85, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9926.996s?\nAnswer: 9926996000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 3. Suppose 7*v + 43 = 106. Let t(r) = v - 9 + r - b*r**3. What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 51 = 671. Let z = h + -62. Solve z = -0*s - 2*s - 4, 3*b + 13 = s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -246*r - 38. Let j be n(11). Let z = 273 - j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3.9, -5101 in descending order.\nAnswer: 30, -3.9, -5101","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) -0.3 (d) -5 (e) -21.77 (f) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Suppose 2*v = -y + 5 + 1, 2*y = -5*v + 14. Let z be a(v). Suppose 0 = d + z - 4. Calculate the remainder when 4 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -154, -342, -594, -904, -1266, -1674, -2122?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 4. Let l = -3028 - -3208. Calculate the highest common divisor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 14. Let h be o(3). Suppose 4*d + 2*q - 6 = -0*q, 0 = d + q. Solve d*p - h = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 20. Let u(l) = l**2. What is y(u(a))?\nAnswer: 5*a**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1003, -1052, -1129, -1234?\n\"Answer: -14*g**2 - 7*g - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.273 + -0.127. What is the nearest to -7\/4 in -4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 - 4*p - 1. Let a be (15\/(-9))\/((-21)\/63). Calculate the smallest common multiple of 126 and n(a).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2168492 rounded to 1 decimal place?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y - 181*y**3 - 184*y**3 + 544*y**3 - 180*y**3.\nAnswer: -y**3 + 26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 3*o + 14. Let w(b) = -11*b**2 - 7*b - 27. Calculate 7*m(q) + 3*w(q).\nAnswer: 2*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8*0.6625749\nAnswer: -5.3005992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 11 + 22 + 0 - 11 - 4*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 + 4.6. Let n = -4.81 + 5.31. What is the second biggest value in i, n, 4, 0.43?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -2\/3 (c) -4\/3 (d) 4 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (3 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5. Let m = r - 0. Let c = m + 1.004. Round c to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*h - 11*h + 11 + h)*(-14*h + 34*h + 123*h + 32*h) in the form p*h**2 + v*h + s and give v.\nAnswer: 1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(1584)*6)**2 - (2*(-1 + sqrt(396)))**2*4.\nAnswer: -960*sqrt(11) + 906036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let k(j) be the third derivative of 5*j**4\/24 + 4*j**2. Let l(o) = -14*o. Let b(h) = 7*k(h) + 2*l(h). What is b(s(g))?\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/10*1392\/(-36). Let c = k - -76. What is the remainder when 22 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34905844\/102837 - 4\/14691. Let h = 340 - g. Which is the third biggest value? (a) -2 (b) 2\/7 (c) 0.18 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*w + s, -6909*w + s + 13 = -6911*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37896 divided by -6\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.136457 microseconds in days?\nAnswer: 0.0000000009506534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 1284*t**2 + 111996*t + 2961916.\nAnswer: 4*(t + 61)**2*(t + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -30, -46, -62?\n\"Answer: -16*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 3, v: 4, q: 5, m: 4}. Give prob of picking 1 h and 3 x.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8783 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:15 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76411 - 2?\nAnswer: -76413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6764, -5899, -4456, -2435, 164, 3341?\nAnswer: 7096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 - 10*u + 5. Let m(b) = -4*b**2 - 6*b + 3. Let w(s) = 3*k(s) - 5*m(s). Let l(z) = 23*z. Give l(w(j)).\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from nsnssnnnnsnsysn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/990908 and 17\/354496.\nAnswer: 459781312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 1 + s + 3794*s**2.\nAnswer: 3794*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 97, 127, 157, 187?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79934*y**2 - 93433*y - 3 wrt y.\nAnswer: -159868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2292, 4573, 6840, 9087, 11308, 13497, 15648?\nAnswer: 17755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -19. Let h = 5 - 5.8. Let r = -0.5 - h. Which is the smallest value? (a) 0 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288279569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwwewwe. What is prob of picking 3 w and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -364427*n. Let p(t) = -316*t**2. Give b(p(m)).\nAnswer: 115158932*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*3)\/(sqrt(3) - ((-2*sqrt(9))\/sqrt(3) - sqrt(3))))\/((sqrt(84)\/(sqrt(12)*-2) + sqrt(42)\/(sqrt(6) + sqrt(24)))*5).\nAnswer: -27*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, q: 2}. Give prob of picking 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*h = 2*c - 5, -2 = -2*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f - 9. Let t be b(3). Suppose -2*y + 42 = -t. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 109*j - 28. Is 40 a factor of r(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694 - 345 - 349 + 8*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 - 49 = 31*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1693 (base 15) to base 12.\nAnswer: -2993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539.243 + -100595.\nAnswer: -101134.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from nnnnqqnynnnnnnq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - 9 - (1 + -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 - 174*d - 159. Let y(s) = -4*s**2 + 58*s + 54. Let a(h) = 4*x(h) + 14*y(h). Let a(b) = 0. What is b?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:07 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -9. Suppose t + 11 = 2*o. Let i(q) = q**2 - 12*q + 23. Calculate the smallest common multiple of i(o) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19260)\/420 + 46)*21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooylbooooooooaoboo. What is prob of picking 1 y, 1 o, and 1 b?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -126895.\nAnswer: -7613.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4 + 2 + 1 - 2 + (0 - 3 + 1)*(2 - 3 + 0))*(-175 + 115 + 218)*(b - b**2 - b).\nAnswer: -316*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from ijqipmj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 3*s + 4. Let x be i(-3). Suppose 0 = -3*n + x*n. Solve 4*h + 3*y - 5 = n, -3*h - 5*y - 7 = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 30 = -x, 4*x = -4*p + 45 + 15. Calculate the greatest common divisor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 97?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (-1 + 10)\/3. Is j\/(-1 + (1 - 1)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2*1)\/(28\/(-56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = i - 12*i + 32*j, 3*j - 86 = i + 11*j + 42 - 29 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83628 is divided by 203.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1713.0776 * 0.14\nAnswer: -239.830864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*12\/((-432)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 28*v**2 + 5. Let m(x) = 25*x**2 + 4. Let k(f) = 5*m(f) - 4*q(f). Let o(d) = 452 - 452 - 8*d. Give k(o(r)).\nAnswer: 832*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 57 + 2. Suppose 2*n + 3 = 13. Calculate the remainder when i is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, 2, -5, -7, 16, 9 in ascending order.\nAnswer: -30, -7, -5, 2, 5, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2906, -5805, -8706, -11609, -14514?\n\"Answer: -j**2 - 2896*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5545.941 + 5546. Which is greater: -2\/13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1760\/(-64))\/(-55))\/(3\/108*-2). Sort -11, -5, -4, -2, d in ascending order.\nAnswer: -11, d, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -708 divided by 6\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(16))\/sqrt(8) + 3)**2 - (0 + sqrt(2)*1 + sqrt(2) + 5).\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 453*v - 14. Let p = 277 + -276. List the prime factors of c(p).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:45 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -10491855?\nAnswer: -10491853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93594*k**4 + 55199?\nAnswer: -374376*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5083634 + -3?\nAnswer: 5083631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -638695710 divided by -3670665\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -3 - -12 - (3 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.34, 9, 1, 2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2 - 149*a + 27. What is y(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 950 and 1330.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 15. Suppose -i*q - 3*m + 579 = 0, -q - 3*q + 802 = -2*m. Calculate the greatest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from pmmppplppppmmlmmpml.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 39. Let n = 23 - a. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2607\/(-632)*-48*(-7)\/14?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2860220, -1\/3, 1\/5.\nAnswer: -2860220, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 36. Let l = k - -107. Suppose i + 33 = l. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*z - 2*z + 10, h - 4*z - 10 = 0. Calculate the remainder when 29 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 4366*u + 13354*u.\nAnswer: 8988*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32979 is divided by 912.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 2\/(-4). Suppose -c + 2 + 5 = h. Let j = 16 - c. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*x**2 + 3*x - 9*x + 50*x**2 - 95*x**2 as i + t*x + h*x**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-5))\/((-1161)\/(-29025))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4 - 4. Let q = 437.01 + -435. Let g = 0.01 - q. Sort 1, g, t.\nAnswer: g, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {y: 1, n: 1, e: 2, r: 2, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56875 + 56853 - 113728 - 21*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -25. Let x(y) = -y**2 + y. Let b be x(0). Suppose 5*g - t - 23 = b. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 22 + 8. Let h be ((-218)\/m)\/((-1)\/3). Let r = -78 + h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9249 + -0.0751. Let w be (-1)\/(-4)*4*0. Which is the nearest to w? (a) -3 (b) y (c) 0.24 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 15*b. Let m = 38 + -29. Let v be n(m). Let q = 57 - v. Calculate the highest common factor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1216) + 0 + (2*(sqrt(1216) + -1 - sqrt(1216)))**2.\nAnswer: 3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(3\/(-40)*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 7100*k**3 - 2933940*k**2 + 293542400*k - 8546631680.\nAnswer: -5*(k - 646)**2*(k - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6\/(g**(-39)*g) assuming g is positive.\nAnswer: g**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -344*v**2 + 654*v**2 - 5*v**3 + 5 + 4*v - 323*v**2 as f*v**2 + o*v**3 + k*v + n and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 10*u - 1. Suppose -9*k - 31 = 41. Let c(o) = -2*o**2 + 30*o - 2. What is k*j(z) + 3*c(z)?\nAnswer: 2*z**2 + 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*9\/45*1\/(1\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 34*g**2 - 9*g - 115. What are the prime factors of n(10)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-20)*4\/12. Is c at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 629280 and 5796?\nAnswer: 4404960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2003201 (base 4) to base 2\nAnswer: -10000011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - (-2599)\/791. Solve -q*z + 0 = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*k**4 + 2*k**3*t + k**2*q**2 + 5*k*q*t + 11*k*q - 2*q**2 - t wrt k?\nAnswer: -696*k**2 + 12*k*t + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + q + 2)*(5*q**2 - 2*q**2 - 4*q**2) - 14*q**3 + 9*q**3 - 9*q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (322\/(-7))\/(2\/(-2)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 + 5 - 9 - 2 + 7.\nAnswer: -17*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46723 (base 8) to base 5.\nAnswer: 1114143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -253, 0.03, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o - 7*o + 19 + 14*o + o. Let s be a(-3). Find the first derivative of 2 - 9*v + 4 + s - 2 wrt v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 8 + 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 2, b: 5}. Give prob of picking 1 v, 2 b, and 1 r.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 3342 + 2728 = 0. Let c = l + 1055. Calculate the highest common factor of c and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -4, 55, 186, 413?\n\"Answer: 4*n**3 - 17*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1197 + 2636. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 40500\/1211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497743 is divided by 172.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2368814463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 8*q - 16*q - 2*q in the form p*q + k and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))\/sqrt(576).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, -7*t + 2*t - 2*q = -135. Let a = t - 26. Which is smaller: 2\/253 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 3*h**3 + 3*h**3 + (6*h**2 - 2*h**2 - 2*h**2)*(4*h - 4*h - h) - h**3 + 3*h**2 - 3*h**2 - 82*h + 82*h - 6*h**2 - 4*h**3.\nAnswer: -9*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/107)*m\/(m**(-10)\/m)*m*m assuming m is positive.\nAnswer: m**(1496\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 804310003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172479652.\nAnswer: 2, 1151, 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 1\/37, -2, -0.5, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 42*i - 213. Let d be t(6). Solve -5*l = 3*s, -2*l = d*s + 2*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -32\/7833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/4809 + 14417\/9618. Solve 15\/8*z**3 - 3\/8*z**4 + g*z - 3*z**2 + 0 = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3106 - -23.\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 5200520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 4*i**7\/105 + 17*i**4\/12 - 41*i**2. Find the second derivative of t(h) wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6280*v**2 + 6279*v**2 + 5*v + 212*v.\nAnswer: -v**2 + 217*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28345898*d*r**4 + 2*d*r - 110*d + 613 wrt r?\nAnswer: -340150776*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 51. Let a(y) = -y**2 - 8*y - 3. Let r be a(-5). Suppose -r = 4*n, -3*s - 106 = -5*s + 2*n. What is the remainder when s is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -7297 in decreasing order.\nAnswer: 3, -5, -7297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 - 60*o**3 - 144*o**2 + 2160*o = 0.\nAnswer: -6, 0, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-130) + (-4286)\/(-26). Suppose -a = -4*d - 157. Solve -d*p - 2*p - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 - (7 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahhhhahhavhvahhhh. What is prob of sequence va?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:42 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-727.2769.\nAnswer: 1454.5538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 251 and -4.6?\nAnswer: 255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1488)\/310)\/((18\/(-500))\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -632*g**2 - 5920*g**3 + 7*g**5 - 314*g**4 - 11*g**5 + 9430*g**2 + 802*g**2.\nAnswer: -2*g**2*(g + 40)**2*(2*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1151 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 5318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122010211 (base 3) to base 5.\nAnswer: -13134334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -359.29 * 0.2098.\nAnswer: -75.379042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.84 - 0.74. Let x = -196 - -192. Which is the third biggest value? (a) -5\/4 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 89. Let k = x - 18. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 24*o**2 + 200*o - 664. Let c be m(81). What is c rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/5 - (-2 + -1). Let f**2 + 2*f + 2*f**2 + 5*f**w - f**4 - 5*f**4 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49039?\nAnswer: 19, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -165?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9816?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 4, 19, -5 in decreasing order.\nAnswer: 19, 4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twthhttwttwwtwt. Give prob of sequence whwt.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n - 2)*(-n - n + 10*n) - 2*n**2 + 0*n**2 + 4*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aacabtaaaaaba?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-59 - -45) + 42 + 86).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 7)*(-4*h**4 + 3*h**4 - h**4).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-331 + 9*g + 331)*(37*g + 712 - 712).\nAnswer: 333*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-4))\/(1\/4). Let c = j + -2. Suppose -36 + 12 = -c*m. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/(-2) - 13)\/(6\/(-160)). Calculate the highest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5\/4 - 14785*k**4\/2 + 257380*k**3 - 2034395*k**2\/2 - 100636725*k\/4 + 25926390 = 0.\nAnswer: -8, 1, 21, 5879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -114*c**3 - 20*c**2 + 6*c - 11. Is m(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 4, i: 1, t: 1, g: 1}. What is prob of sequence gy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -959276?\nAnswer: 959276.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1017276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109634795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 899043831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/(d**(-2)\/d)*d**(-2\/15)\/d**1 assuming d is positive.\nAnswer: d**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -766?\nAnswer: -19150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -15202, -52, 0.4, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151885?\nAnswer: 5, 37, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18524605 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 60 = 18*f. Let t be -1*(f\/3)\/5. Solve -l + 2*y - 3 = 0, -24 = 4*l + t*y + 2*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-39 - -41).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:01 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28528811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 + 8888.4841?\nAnswer: 8063.4841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -17.4 (c) -0.01 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 2. Let v be q(-3). Let z = 54 + v. Let t = z + 3. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-3) + 3\/9. Let c be -1*(-6)\/(-7)*d. Let v = c + -6. Solve -2 = -y - v*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00532578, -1\/3, 6\/13 in decreasing order.\nAnswer: 6\/13, 0.00532578, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 18 + 6. Let j be (q\/(-9))\/(8\/36). Suppose 0 = -5*r + 5*y + 15, 4*y - 14 = j. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 1\/307 (c) -1\/9 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -5 (c) -182 (d) -0.03 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4372 - -1.7372. Let o be 2\/4*2\/5. What is the nearest to o in 1, u, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, -1, 312, 7 in descending order.\nAnswer: 312, 7, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235397552 by -87152.\nAnswer: -2701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-2*1 - sqrt(240))\/sqrt(12) + ((sqrt(440)*1)\/sqrt(11))\/(sqrt(56)\/(sqrt(28)\/sqrt(4))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 88. Is 9 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**2 - 1. Let w(d) be the second derivative of 0 + 0*d**2 + 0*d**3 - 3*d + 1\/12*d**4. Calculate w(v(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + j = 40, -5*y + j + 62 = -2*j. Is -5\/6 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 56 - 126 + 3*n + 60. Let l(k) = -6*k + 8. Suppose -4*m + 7 - 31 = 0. Let w(b) = m*l(b) - 5*j(b). Give w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 1*((16 - 23) + 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = 44*n + 555 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 2417)*17\/(-51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 25*p**2 - 2*p - 25. Suppose -3*k + s + 141 = 0, 5*k + 4*s = 414 - 162. Calculate the remainder when k is divided by o(-25).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 62. Calculate the remainder when n(33) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + z + 5 = 0, -170*o - 30 = -176*o + 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611 - 407. Suppose -1617*p + c = -1614*p. Calculate the remainder when p is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}