{"text":"Question: Collect the terms in -2*r + 49 + 22 - 71.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 580807815 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 1, 1\/5, 34, -3\/14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 9 + -6 - (2 - (-2 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of m**2*w**3 - 5*m**2 + 822*m*w**3 - 2*m*w**2 + 2*w**2 + 390*w wrt w?\nAnswer: 6*m**2 + 4932*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is n in -5\/2*n**4 + 1\/2*n**2 + 0 - n**5 - 3\/2*n**3 + 1\/2*n = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.0274? (a) -0.09 (b) 8 (c) 4\/7 (d) 3\/7 (e) -2 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -36\/13029949 and -63\/10.\nAnswer: 130299490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34575, -35412, -36249, -37086, -37923?\nAnswer: -38760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -3. Let s = 1.56 + 1.44. What is the closest to -2 in s, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 3*r = r - 16, -g + r + 8 = 0. What is the nearest to -0.2 in 3\/166, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**2 - 187*w**3 + 547*w**3 - 4*w**2.\nAnswer: 360*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1101111100 (base 2) to base 12.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of -j**3\/6 - 3*j**2\/2 - 3*j. Let a be x(-5). Let f(d) = d**2 + d**3 - 2*d**2 - 487 + 489. What is f(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i - 10 = 2*j - 3*i, 13 = -j - 4*i. Suppose -j*u = -19*u + 2224. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 736516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 461870897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18156780*u**4 + 16164463*u.\nAnswer: -217881360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6507907*m**3 - 4037783*m?\nAnswer: 39047442*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 53026429102021+2\nAnswer: 53026429102023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 36579.4cm?\nAnswer: 365.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -k - 34. Let d = 41 - 27. Let i = 47 - d. Calculate the remainder when i is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -37*m**3 - 9*m**2 - 3*m + 3. Let r(h) = -111*h**3 - 28*h**2 - 8*h + 8. Let i(o) = -8*l(o) + 3*r(o). Find the third derivative of i(d) wrt d.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -148.5 and 1350.94.\nAnswer: 1202.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8915 = 5*p + 3420. Suppose -p = -4*n + 341. Is n a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 270*b**2 - 92*b**2 - 176*b**2 + 5.\nAnswer: 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/126)\/(1*(-1)\/((-1)\/5))?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the second derivative of 45*n - n**4 - 3*n**2 + 0 - 3\/20*n**5 - 5\/2*n**3. Factor y(a).\nAnswer: -3*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5*(-38)\/(-45) + (-4)\/18. Suppose -k*f - 4*z = -304, f - 3*f + 146 = -z. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.57803 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42127468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 11:34 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 559774*m*p - 28768671*m - 6*p**2 wrt p?\nAnswer: 559774*m - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 25*b**2 - 712*b - 50. Let f(k) = 19*k**2 - 534*k - 39. Calculate 7*a(u) - 9*f(u).\nAnswer: 4*u**2 - 178*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/(-91)*63 - -5. Which is the nearest to 8? (a) -0.07 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 30003404 (base 6) to base 3\nAnswer: 1120201002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 890612.\nAnswer: 2, 53, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -48*p + 5. Calculate g(-4).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1080 and 677106?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12268 - 4*m**3 - 3*m + 3*m + 5044 + 2*m**3.\nAnswer: -2*m**3 + 17312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.6165 + 0.6164831425. What is s rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/(sqrt(16)\/(-1*sqrt(2))))\/((sqrt(40)\/sqrt(2)*1)\/sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*y**5 + 197*y**3 + 490*y**2 wrt y?\nAnswer: -180*y**2 + 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 13044435 (base 6) to base 14.\nAnswer: b1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + 13. Let y(g) = -g + 21. What are the prime factors of y(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -1123025?\nAnswer: 1123030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.075 plus -6.708931427?\nAnswer: -6.783931427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-1*sqrt(19) + 5) - (sqrt(76) + sqrt(76) + (sqrt(76)*-2 - sqrt(76))*-4)\/sqrt(4).\nAnswer: -12*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -121\/21709278 and 79\/2?\nAnswer: 21709278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -17, -19, -11, 13, 59, 133?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1918.743 months?\nAnswer: 159.89525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 2*s. Let w(d) = 7*d**2 - 16300*d. Determine w(i(o)).\nAnswer: 28*o**2 - 32600*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbbbvbbbbbdbb. Give prob of sequence bb.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 0. Suppose f - 141*o - 1161 = -143*o, 4*f = o + 4662. Let c = 1168 - f. Solve r*i + i = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1419 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8026591 is divided by 2149.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -21*r**3 - 3*r**2 + 3*r - 1. Let t(i) = 21*i**3 + 4*i**2 - 4*i + 1. Let f(o) = 4*n(o) + 3*t(o). What is the derivative of f(q) wrt q?\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.2 (c) -21 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) -0.02 (c) -7\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -m**2 + 0 - 3*m + 4 + 0*m - 3*m**2 + 4*m in the form n + y*m**2 + c*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 120 and 5805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 + 29 = -4*g + 3*t, -5 = 5*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 14 = -4. Suppose 9*t - 4*t = 185. What is the derivative of -26 + 90 - t - 20*z**r wrt z?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 2 + -1 + (1*sqrt(432) - sqrt(432) - sqrt(432))**2 + sqrt(27).\nAnswer: 3*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -105, 1042, 4143, 10176, 20119?\n\"Answer: 163*n**3 - n**2 + 9*n - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -6332, -6330, -6328, -6326, -6324?\n\"Answer: 2*m - 6334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -10101011010111 (base 2) to base 12\nAnswer: -641b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -25978 by 177.\nAnswer: -25978\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8428641 millennia to centuries.\nAnswer: 8.428641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.3, -7, 1, -1, 195, -0.1, 3?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-28) - (-23)\/7. Suppose f - 5 = -r. Let g be r\/4*8\/(-26). Which is the second biggest value? (a) -0.6 (b) 2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 547, -5, -26, -1 in decreasing order.\nAnswer: 547, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 98964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 811 + (-3)\/((-5)\/(-20)*-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 383\/(2 - 390\/4) - (1524 - 1528)\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 PM and 5:20 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + 1 + -4 + -143. Let j = g + 232. What is the units digit of -1*j\/(-2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/((2\/(-10))\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12*2\/(-9))\/(1\/3). Suppose -2*l + 21 = -3*z, 5*l + 3*z - 65 = x*z. Solve 4*g + 2*m = l, 4*g + 4*m - 19 = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2436 + -10?\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -3*x + 7*x. Let g(v) be the second derivative of v**5\/10 + v**3\/3 - v**2 - 16*v - 6. Let i(m) = -4*m - m - 4*m**3 - 1 + 6. What is x*g(k) + 2*i(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 339 and 61.\nAnswer: 20679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/6 and 91\/12042362?\nAnswer: 36127086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -x**6\/120 + x**5\/4 - 29*x**4\/24 - x**3\/2 + 33*x**2. What is the tens digit of d(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 33 - 6 + 6*y - 3 - 22. Let j = -6 - -11. Let f(z) = 5*z + 2. Determine j*f(w) - 4*i(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 2*w = 9, -w + 8 = 3*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -45055, -90104, -135153, -180202?\n\"Answer: -45049*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 47*v**2 + 568*v. Calculate o(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-51*12\/90)\/(8\/(-60)). Is 53 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 32\/135 and -3\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 168259388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**11*y)\/(y*(y*y**4)\/y))\/(y**5\/y)**(-34) assuming y is positive.\nAnswer: y**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b - 4. Let n be w(-10). Suppose 0 = m + n*m - 21. Find the second derivative of 10*r - 5*r - 9*r**3 + m*r wrt r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 833.9 - 834. Which is the closest to f? (a) 0.2 (b) -0.3 (c) -8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hbwc when four letters picked without replacement from {s: 2, w: 1, h: 1, o: 1, c: 1, b: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10.61 + 10.7. Let i = 0.09 - 0. Let k = i - c. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of -d**2\/2 + 8*d + 7. Let p be z(7). Let h(b) = b**3 - b + 1. Calculate h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**2 - 2*y - 10. Calculate m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 8213*u**2 - 16378*u**2 + 8246*u**2 + u**3.\nAnswer: u**3 + 81*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -19*l + 230. What is h(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1751)\/(-3060) - (96\/(-15) - -6) and 23\/14508?\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3163\/3 + 34873\/33. Let t be -5 + (-1074)\/(-44) - 0. Let h = t + m. What is the common denominator of h and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:28 PM and 6:29 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, a: 4, g: 5, y: 10}. What is prob of sequence yga?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4*((-18)\/(-8) - (-6)\/(-2)). Let r be (5 + h)\/(78\/(-21) - -4). Suppose -2*u + 16 = -r. What is the remainder when 62 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -476 + 592 - 21211*x + 321*x**2 + 578 + 3*x**3 + 21207*x wrt x?\nAnswer: 18*x + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 46 + -22. What is the common denominator of 83\/32 and (x\/16)\/((-16)\/(-15))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31923426*r + 4*r**3 - 31923425*r - 2*r**3.\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 4*u - 37. Suppose -3 = 2*j - 31. Let y be i(j). Differentiate -y*g**3 - 40 - 24*g**2 - 20*g**3 + 24*g**2 wrt g.\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -853*w - 138 = -867*w + 2 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*i - 11. Let v be 2\/8 - i\/(-12). Suppose z + v*z - 3*t - 10 = 0, 0 = 5*z - t - 8. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or 2.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -488 (base 9) to base 12.\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 3. Let l(x) = -4*x**2 + x + 10. Suppose -3*t + j = -5*t + 46, 0 = t - 3*j - 9. Let v(m) = t*r(m) - 6*l(m). Factor v(z).\nAnswer: 3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.002 - 1.998. Let w = -1125.1 + 1125. Which is the nearest to -2? (a) w (b) -10 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - p = u - 6, 4*p = -5*u + 30. Let k be -2 - ((1 - 17) + 0). Suppose 5*b - k = u. Solve 4*d - m = 25, -3*d - d = -b*m - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-7\/5)\/r*r**(-17)\/r)\/(r\/r**15*r**(21\/4)\/r*r))**(-12\/7) assuming r is positive.\nAnswer: r**(699\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is r in -3*r**3 + 10281*r**2 + 144567*r - 154845 = 0?\nAnswer: -15, 1, 3441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -16 - 3811404503\nAnswer: -3811404519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-38)\/(-8) + 2\/8. Suppose -3*m = 3*b + 2*m + h, 5*b + m - 21 = 0. Suppose 2*i + 3*v - 9 = -1, 5*i - 70 = b*v. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 173*h**3 - 3 + 176*h**3 - 3*h**4 to the form a*h**3 + u*h**2 + k + d*h + z*h**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-49 + (-47 - -200))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 954249462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, 2, -3\/5, 5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 277 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - (-1)\/(-3))\/(10\/15 + 1). Let h = 7\/55 + -51\/1265. Put l, 5\/4, h, -3 in increasing order.\nAnswer: -3, l, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**3 - 4*v**2 - 4*v - 11. Let x = -23 + 28. Let n be g(x). Let i = -3.1 + 3. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of 0*r + 0*r**4 - 1\/120*r**5 + 8\/3*r**3 - 5 + 1\/180*r**6 + 0*r**2. Let l(u) be the third derivative of s(u). Solve l(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 98, 140, 220, 350, 542, 808?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 3:35 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k*m*x - 145*k*m - k*x**4 + 41*k*x**3 - 24*m*x**3 + m*x wrt x?\nAnswer: -12*k*x**2 + 246*k*x - 144*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -79 + 90. Solve p*s = 13*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 331.7 + -332.8. What is the nearest to -0.1 in 14, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + 2*d)*(-3 + 1 - 1)*(-d + 0*d - d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 450 - -13. Let d = r - 259. Calculate the highest common factor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 324 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -1 + -3 + 5 + 12 - 20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -9. Suppose -j*u + 5*u - 51 = 0. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9916206?\nAnswer: 2, 3, 1652701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3806 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 4*y + 3*j - 6 = -3, -15*j + 15 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 0 + 6*k**2 - 2 + 1. Let x be h(1). Suppose -x*c + 14 = -4*c. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -52 - -56. Let n be (-1)\/((-3)\/10) - i\/12. Suppose -3*m - n = 0, 0 = -3*z + 7*z - 4*m - 1012004. Round z to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1022 - 67. Let d = u - 141. What are the prime factors of d?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1307178311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*j + 15*j = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25 - 10. Let v be 12*-2*(-10)\/y. Let r be (-2694)\/(-24) + 1\/(-4). What is the greatest common factor of r and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 55 * -17763.\nAnswer: -976965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaahaaaa. Give prob of picking 4 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 123 + 14053?\nAnswer: 14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -9459 = -421*k + 3171 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*4.8.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the third derivative of 73*b**4\/24 - 23*b**3\/6 - b**2 + 6*b. What is the hundreds digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 + 9)*(5 - 3 + 6)*(7*w - 2*w**4 - 7*w + 1)*(3 - 2 + 0).\nAnswer: -176*w**4 + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -154 greater than -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 20520 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 276 - 300 = 0. Let s be (-322)\/(-12) - 24\/t. Suppose 0 = -5*q + 62 + 343. What is the highest common divisor of q and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -35*o - 22*n + 11*n + 13*n + 204, -5*o + 2*n = -27 + 3 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 18 = -h, -26 + 2 = -2*h - 4*n. Let s be ((-5)\/(-15))\/((-2)\/(-36)). Solve 3*o + h = 5*l, 2*o = -4*l + s*o + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1250, -80, 1860, 4564, 8026, 12240, 17200, 22900?\n\"Answer: -x**3 + 391*x**2 + 4*x - 1644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*u + 32245 - 31845 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 - 16*r**2 + 19*r + 7. Let a be f(15). Suppose a = 5*u - 33. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and -3407.43.\nAnswer: -13629.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of n**2*w**5 + 3*n**2*w - 743*n**2 + 390491*w**5 - 763*w wrt w.\nAnswer: 20*n**2*w**3 + 7809820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c**5\/3 + 140*c**4\/3 - 2144*c**3\/3 - 3492*c**2 - 2730*c = 0.\nAnswer: -3, -1, 0, 35, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*4\/16*-2*(-6)\/(-132).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 4*z + 68, -v - z - 2*z = -21. Let n = 13 + -10. Suppose -2*b + v = n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 53, 42, 9, -58, -171?\n\"Answer: -2*y**3 + y**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/2 + 1)\/((-4)\/(-1768)). Let f = 781 - z. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8576 - -8575. Put -0.1, i, 0.3, -167.7 in decreasing order.\nAnswer: 0.3, -0.1, i, -167.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*d - 5*d - 4460 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 0. Let d(p) = -p**3 + 11*p**2 - 11*p + 13. Let b be d(10). Suppose -2*x = -x + h + m, 0 = b*h + 9. Let o(i) = -i - 2. Determine o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-6)*(1 - 1). Let w = 10 - 22. Do b and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -653*x**3 + 130*x**2 wrt x?\nAnswer: -3918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 5 + 3)*(x - 3*x + x) to the form g + d*x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/9)\/n*n**2)\/(n**(1\/9)*n**5) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + l**2 + 3*l + 2. Let b be ((-12)\/10)\/((-2)\/5). Let v = 6 - b. Calculate the remainder when r(-2) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -2*w**3 + 2*w**2 - 4*w - 1. Let i(d) = d**3 - 3*d**2 + 5*d + 2. Let c(b) = 2*i(b) + 3*p(b). List the prime factors of c(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5 and (2\/(-4))\/((-16)\/192)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 2 = -0. Let a be ((-1)\/w)\/(2\/4). Is 10\/7 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9930 - 4656. Suppose 116*f - j = 107*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28781 and 96418043?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 17*q + 3. Let l(z) = 1 + 17*z + 5 + 34*z + 3. Let d(o) = -3*l(o) + 8*v(o). Let c(b) = b**2 - 6*b**2 + 4*b**2 + 0*b**2. Calculate c(d(g)).\nAnswer: -289*g**2 - 102*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*l + 2*l + 10*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 w, and 1 u when three letters picked without replacement from {q: 2, w: 6, k: 1, n: 2, l: 5, u: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -582, -2365, 3, 4 in ascending order.\nAnswer: -2365, -582, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 39 = -z, -5*z = 3*x - 306 + 76. Suppose -3*o = -4*o + 2*p - 46, 3*p = 9. Let v = z + o. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 342950750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and -24.8?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdqdqdhd.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4\/3 - 10*g**3\/3 + 8*g**2\/3 + 64*g.\nAnswer: -g*(g - 4)*(g + 6)*(g + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(((-69)\/(-276))\/(5\/(-2))*-1).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f + 20. Let d be h(-16). Find the first derivative of -9*a**2 + d*a**2 - 3 - 2 wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 7 = -29. Is (-190)\/(-15)*f\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/126 and -107\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nupubutpttnuptut. Give prob of picking 2 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 6 (b) 0.6 (c) 12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 106223 - 106220. Let 361\/8*k**2 + 25\/2 + 163\/8*k**m + 40*k + 1\/8*k**5 + 23\/8*k**4 = 0. Calculate k.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -124605, -124602, -124597, -124590, -124581, -124570?\n\"Answer: z**2 - 124606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -2) + (1229 - 1233)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**4 - 1961*j**3 - 7833*j**2 - 9787*j - 3914 = 0. What is j?\nAnswer: -1957, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.05, -257 in increasing order.\nAnswer: -257, -1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -3*j + 69, 2*j + 8 = t - 9. What is the lowest common multiple of t and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1035)\/2760)\/(1 - 47\/44). Let y(p) be the second derivative of -10*p - 2\/3*p**4 + 0*p**3 + 0 - t*p**2. Differentiate y(g) wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -53*q**2 + 67861*q + 203583. What is s(-3)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 75897996 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -889637*a*x**3 + 81206*a*x**2 - 3*a*x + 3*x**3 + 10*x**2 wrt x.\nAnswer: -5337822*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 5*f - 16, 36 = -3*f + 4*b + 63. Solve -4*c + 2*c - 6 = 2*k, 4*c = f*k + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*d + 195 = -240 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4a (base 15) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -430, -116, 4, -3 in descending order.\nAnswer: 4, 1, 0, -3, -116, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6051042*f**2*y + 644*f*y + f - 286 wrt f.\nAnswer: -12102084*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 96 - 381\/4. Let t = -172 - -171. Sort a, -1\/6, t in increasing order.\nAnswer: t, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/4871475 and 31\/139185.\nAnswer: 4871475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(108\/(-8) - -8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2921, -1052, 817?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the third derivative of 7*r**6\/60 - 8*r**5\/15 + 1565*r**4\/8 + 176*r**2 + 2*r. What is the second derivative of c(m) wrt m?\nAnswer: 84*m - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -85, -169, -253?\n\"Answer: -84*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166 = -4*k + 178. Let m(c) = -c**3 + 7*c**2 - 8*c - 7. Let s be m(k). Solve p + 0 - 2 = -4*x, -3*x - s*p = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4232 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3)\/(6\/(-1556))*(-38 + 48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 197 at least 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -1022 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4.4 plus 281158194237?\nAnswer: 281158194241.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17458 + 417058.\nAnswer: 399600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 70655904 divided by -17663976\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1924106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 4*b. Let y(t) = -t**3 + 4*t**2 - 3. Let v be y(3). Let s(a) = 25*a + 13. Let z(i) = -4*i - 2. Let k(d) = v*s(d) + 39*z(d). Determine k(m(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1230 divided by 3\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 197880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*k**4 + 288*k**3 - 2*k**2 - 17?\nAnswer: -48*k + 1728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/2*(82 + 8). Let t = a - 21. What is the units digit of 10\/3*t\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -26, 2, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2851\/11 - 259. Let g(p) = -p - 6. Let b be g(-7). Which is bigger: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1260 (base 13) in base 15?\nAnswer: -b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 172 divided by 19.\nAnswer: 172\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 63 (base 12) to base 5\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -61517, -61521, -61523, -61523, -61521?\nAnswer: -61517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the second derivative of -16*t**6\/15 + 10*t**4\/3 + t**3\/6 - 5*t + 3. What is the third derivative of k(n) wrt n?\nAnswer: -768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -65*x**3 - 2*x**2 - 2*x - 1. Let h = -5 - -4. Let m be l(h). What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 25\/(-10)*(-28)\/5. Suppose -g + t = 3*u, -3*g + 24 = 7*u - 4*u. Is -2 - (3 - u) - -293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 (base 13) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**2 + 1. Let u(h) = -100*h**2 + 110. Let w(b) = 220*k(b) - 2*u(b). Let y(v) = 10*v. Calculate y(w(i)).\nAnswer: -200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -3*h - 3, -3*h - 5 = 23*n - 18*n. Let j(u) = 27 - 5*u - 3*u - u**2 + 7*u. What is the units digit of j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 1667*l + 785. Let o(k) = k - 4. Let z(a) = n(a) - 4*o(a). What is the first derivative of z(g) wrt g?\nAnswer: 1663","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -237 = 6*z - 3*z. Let t = -39 - z. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03259? (a) -1 (b) -0.01 (c) 0.5 (d) 0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 387781*c**2 - 387781*c**2 + 10591*c**3.\nAnswer: 10591*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 89a (base 13) to base 12.\nAnswer: a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8 + -5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-160)\/(-80)*2\/((-128)\/(-72))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = u - 26, u - 50 = -5*m + 6*u. Suppose -12*y = 19 - 67. Let h be (-2)\/4*(m - y)*-1. Is h > -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/((-91)\/7))\/(20\/110)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 7, 4, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2391 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 738322439 to the nearest integer?\nAnswer: 27172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from lrwldpqdddqddpqdp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + -10. Let m(j) = -j**3 + 37*j**2 + 151*j - 4294. Let f be m(38). Which is the biggest value? (a) f (b) -20 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h - 21*h = 165 + 78 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 138 - 134. Suppose a*q - 306 = 2*c, -4*c - 231 = -3*q - 2*c. Calculate the greatest common divisor of q and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -n**2 - 1392*n + 6*n**4 - 2*n**3 + 7*n**2 + 1391*n + 2 in the form i*n**4 + p*n + b*n**3 + m + h*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13018 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 5 = 5*w, -4*k + 49 = 2*w - 5*w. Let r be (-916)\/20 - (-8)\/k. Is (-10)\/r - 2775\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 3 = 0, 5*q = -14*x - 85 + 122 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 32*b + 10. Let h(i) = -777*i. Calculate o(h(t)).\nAnswer: -24864*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(35) - sqrt(560)) + sqrt(35))\/sqrt(7)*2 + ((sqrt(330)\/(sqrt(6) - (sqrt(96) - sqrt(6))))\/sqrt(11))**2*1)*5.\nAnswer: 25\/4 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**2 + 27*n + 66. Let y be i(29). Suppose 560 = y*c + 2*c. Suppose 0*a = a - 15. Calculate the remainder when c is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1438, 2866, 4294, 5722?\n\"Answer: 1428*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -1342*c + 14. Let q(p) = -896*p + 10. Determine 5*g(d) - 7*q(d).\nAnswer: -438*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -447 and -363?\nAnswer: 162261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 1\/3, 2, -1\/19, 0.2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36\/21 - 2 - 526368\/(-672)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -408*l = -402*l + 6684006. Let d be -1 + (l - 2\/(-1)). What is d rounded to the nearest 10000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1599 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3139815581?\nAnswer: 7, 43, 1490183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b - 1. Let i = 5448 - 5442. Let a(g) = 3*g - 2. Determine i*a(j) - 17*v(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 516 = -4*j, -3*z = -3*j + 178 - 577. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/16 bigger than -4720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 8 = -0, p + 4 = -3*l. Solve 5*n + 4*k - 23 = 18, -2*n + 3*k = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1039.8 bigger than -614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/7? (a) -0.5 (b) -3\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 4:12 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4473914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(5) + -1) + -3 + (sqrt(5) - (2 + sqrt(5) + 0) - sqrt(125)*1)**2.\nAnswer: 17*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i*x**2 + 2*i*x + 7*i + 88950*x**2 - 9*x + 1209 wrt x.\nAnswer: -2*i + 177900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20*c**2 + 8*c**2 + 0*c**2 + 2 + 2*c**2 to the form g*c**2 + w*c + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be (436\/(-1308))\/((-2)\/((-276)\/2)). Which is smaller: u or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/2970 and 34\/480411.\nAnswer: 52845210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 5*p - 13, 3*k + p - 28 = 2*p. Calculate the remainder when -2*6\/(-9) - (-308)\/21 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -9*2*(-1)\/2. Suppose -2*v = -r - 9. Let m = v - 7. Solve -i = m*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18531, 18543, 18571, 18621, 18699?\nAnswer: 18811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of 0*i**3 + 14*i**2 + 0*i + 11\/60*i**5 + 0 - 19\/24*i**4. What is the second derivative of q(w) wrt w?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.1 - 0.1. Let q = -3.2 + i. Let c = 0.4 + 0. Which is greater: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2.8 (b) 0.27 (c) 0.3 (d) 0.4 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 4*i**2 - 2*i - 1. Let t be p(2). Let g = t + -9. Suppose -3*y = 3*r - 0*y - 27, y + 12 = g*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -132*n + 115*n + 61*n + 2200 = 0 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 185682831 and 12861.\nAnswer: 4287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (4 - -48) - 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 190\/3 in 76, -16, -1, 0.1?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88143 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/273 - 16621\/4368. Find the common denominator of d and 49\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 86 + -78. Suppose -4*l + 304 = -2*t, 0 = 5*l - 0*t - 3*t - 380. Let k = l - 44. Calculate the highest common divisor of k and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 + 3*n - 3. Let k(o) = -44*o - 9. Let c be k(6). Calculate the remainder when c\/(-11) + 4\/22 is divided by y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 241463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 2 + -5 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/1694 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -3*g - 2, 22 - 6 = 4*a. Let t(m) = -4*m + 2. Let x(l) = 4*l - 3. Let q(c) = g*t(c) - 3*x(c). Calculate q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 - -14. Let o = 0.1 + -0.1. Which is the closest to o? (a) 1\/4 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -283814, -283819, -283824, -283829?\nAnswer: -283834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -5 (b) 0.28 (c) 50 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2116*k + 56383 = -1982*k - 52503 - 34544 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 119220*k + 3099722. Give z(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - i + 24 = 0. Suppose -u + 1 = -0, -2*n = 2*u - i. Calculate the greatest common divisor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -23994*b + 48013. What is y(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 3*j + 17. Let t(z) = -3 + 13*z - 16*z - 35 + 6. Let v(g) = -2*g - 35. Let p(d) = -3*t(d) + 2*v(d). Calculate 8*n(q) - 5*p(q).\nAnswer: -q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18 - -32. Let y(n) be the third derivative of 2*n**5\/5 + 7*n**4\/12 + 7*n**3\/3 - 2*n**2. Let m(s) = 5*s**2 + 3*s + 3. Calculate x*m(i) - 3*y(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110 - -11011001010110100010100?\nAnswer: 11011001010110011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12.8 - 13. Which is the second smallest value? (a) f (b) 5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -6 (b) 5 (c) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v\/(v*v**(-1\/10))*(v**5\/v*v*v)\/v*((v**(-1)\/v)\/v*v)**(12\/19) assuming v is positive.\nAnswer: v**(919\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*y = -3*k - 4, 0 = 4*k + 3*y - 20. Let c = 46 + -18. Let h = 37 - c. What is the least common multiple of k and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -46.555 and -3.5?\nAnswer: 162.9425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-6*11\/165)\/2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2449586138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 84698 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1067450061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 0 + (((sqrt(363)*4 + 2)**2 - ((sqrt(363) - (sqrt(363) + -4))*1)**2) + 2)*3.\nAnswer: 528*sqrt(3) + 17390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 72122 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 16 + l + l**3 + 10*l + 416*l**2 - 405*l**2. Let p be k(-9). Suppose 0 = i + 4*d - 24, -5*i - d + 22 = -p. Solve -s + i = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -56 - -56. Solve 3\/2*h**3 + v*h + 0 + 0*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 4 = 4. Let a = 1554 - 1537. Let i(m) = -c*m + 7 - 3*m**2 + 7 - a + 6*m. Determine i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -301a (base 12) to base 8\nAnswer: -12126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/20 and 103\/111302.\nAnswer: 1113020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i + 5. What is g(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -4 + 69. Is (2*38\/12)\/(b\/3081) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqyy. What is prob of sequence qqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 275269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 857 is divided by 152.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((51520\/(-138))\/28)\/(2\/(-48)) is divided by 163.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98053?\nAnswer: 31, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kaao. Give prob of sequence aoak.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 111 and 11292918.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60)\/(-20)*(-8)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1411700 divided by 70585.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffzs. What is prob of sequence zff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2769 < 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g**4\/5 + 61*g**3\/5 - 828*g**2\/5 + 3584*g\/5 - 2816\/5 = 0. What is g?\nAnswer: 1, 8, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - (7 - 17) - 9) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 228900, 457717, 686532, 915345, 1144156, 1372965, 1601772?\n\"Answer: -k**2 + 228820*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ya when two letters picked without replacement from {t: 2, y: 2, a: 9}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u**2\/7 - 111*u\/7 + 36\/7 = 0. Calculate u.\nAnswer: 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 3*x**2 + x + 2. Let s be u(-2). Suppose 3*c - 21 = -s*c. Is (-4)\/(c\/90*-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -3*r + j + 2*j, r + 3*j = -8. Let q = r - -20. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**5 + 2*z**5 + 2*z**5 + (z - 2 + 2)*(4*z**4 + 0*z**2 + 0*z**2) + (37*z + 16 - 16)*(-6*z**4 + 4*z**4 + 0*z**4).\nAnswer: -69*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f = -19*z + 22*z + 45, -2*z - 5*f = -39 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -n*r*z**2 - n*z - r**2*z**3 + r**2 + 33*z**3 + 3*z**2 wrt r.\nAnswer: -n*z**2 - 2*r*z**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -624*q - 726 = -1208*q + 606*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**2 - 6*n - 4. Let i be (-2)\/(-10) + 48\/10. Suppose -i*t - 13 = 12. Let b be j(t). Is b < 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x**4 + 4*x**4 + 1 - 5*x**4)*(-3*x + x + 0*x).\nAnswer: 8*x**5 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 129 and 1376043?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 1:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -189*w = -261*w + 25848. Sort 0, -4, w, 5 in ascending order.\nAnswer: -4, 0, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -6*a**2 + 19*a - 11 - 6*a**2 - 4 + 11*a**2. Let y be q(18). Solve y = b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 8 - 1. Suppose 5*f = r - 2, 4*j + 4*f - 20 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the third derivative of 1\/30*w**5 + 0*w - 5*w**2 + 0*w**3 + 0*w**4 + 0. Let m(c) be the first derivative of 4*c**3\/3 + 1. What is m(j(f))?\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-2))**1 assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 187756536 divided by 263703?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g**2. Let v(f) = -276*f**2. Calculate v(d(u)).\nAnswer: -2484*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 201*g - 198*g = -12, -37 = 5*z + 3*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(5\/4)*i)\/(i*i\/((i*i**(-2))\/i)))\/(i**(-1\/4))**(-1\/10) assuming i is positive.\nAnswer: i**(-71\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -290*j + 19714. Give m(68).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t + 5. Let k(r) = -r + 11. Let x be k(5). Let d(o) = o**3 - 6*o**2 + o + 3. What is the least common multiple of w(0) and d(x)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 283323784 to the nearest integer?\nAnswer: 16832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -937772174159 + 937772174159 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 220 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4249057736*x**2 - x**3 - 4249057736*x**2 + 130.\nAnswer: -x**3 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vlnlnlwnnwl. What is prob of picking 2 l, 1 v, and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.7 - 0.3. Let h = b - 0.2. Let x = h + -2.4. What is x rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60819 - 111630 = -81*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 161 = -2*a, -8 + 194 = 3*j - 3*a. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 20*(3592\/(-24246))\/(4\/54)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 164187269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - x - 3*x = -20, -3*q + 52 = -2*x + 65 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((121\/(-33))\/(-11))\/((-5)\/300).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 83*o**3 + 192*o**2 - 2*o**4 - 192*o**2 + 3*o + o**4 to the form w*o**3 + j + c*o**4 + a*o**2 + x*o and give w.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 1. Let p be (f\/6)\/(2\/12). Suppose -p*w + 4*w = -64. What is the remainder when 30 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/((-14)\/20) + 1. Let z = -6 - r. Calculate the highest common divisor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9, 14, 23, 36?\n\"Answer: 2*l**2 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the first derivative of 2*n**3\/3 + 11*n + 394. Let u(q) = -q**2 - 6. Determine 4*p(l) + 9*u(l).\nAnswer: -l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -64337, -64463, -64589, -64715?\nAnswer: -64841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract -64583933 from -0.1.\nAnswer: 64583932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 21*s**4 + 21174441*s**3 + 5337590320173*s**2 + 3812547661299*s - 1525021484454 = 0. Calculate s.\nAnswer: -504153, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -139 - -139.558. Let h = p + -0.058. Which is the third smallest value? (a) -4 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j - 5*j + 94078 = 3*j. List the prime factors of j.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1452 (base 6) in base 8?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -7 + 7 + 2*x + (198*x + 446*x - 97*x)*(1 - 2 - 1) as s*x + g and give s.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**2 - 2*z + 8. Let f(a) = -2*a**2 - 5*a + 15. Give -2*f(m) + 5*p(m).\nAnswer: -m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -796 (base 14) to base 3\nAnswer: -2001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 20\/17 in -10, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3312581 millilitres in litres?\nAnswer: 0.0003312581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43245392 is divided by 485903?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 3*p - 3*y = 1, 4*p - 2*y + 18 = 0. Let g(q) be the first derivative of q**3\/3 + q**2 + 1. Let i be g(-1). Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7297 = 11*j - 807. What are the prime factors of (-48)\/(-22) - 2 - j\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -662.1?\nAnswer: -3310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 + 74)*4\/12. Let k be (-20)\/(-6) - ((-4)\/6)\/(-2). Solve k*f + 2*f = -c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1373, 7715, 18375, 33347, 52625, 76203, 104075?\nAnswer: 136235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**3\/7 + 66*f**2\/7 - 90*f + 1350\/7 = 0. What is f?\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2849, 2574, 7997, 13420?\nAnswer: 18843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7\/3 - (30\/45)\/2. Does 22 divide ((-198)\/h)\/(1\/4*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/2 + 11\/4*p + 1\/4*p**2.\nAnswer: (p + 1)*(p + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 0*i. Suppose -4*t - 14 + 34 = i. Suppose -q - 83 = 5*p - 10*p, -t*p = q - 77. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 35 - 15. Suppose r*b = -b. Let l be -1 - (-9 + 1 + b). Solve -4*n = -5*j + l, -4*n + 8 = 4*j - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 32360308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8 and 85.5?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*p + 29*p + 20*p)*(3 + 1 - 3)*(75*p - 75*p + 71*p**3)*(-4 + 2 + 3).\nAnswer: 2840*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -37*x + u + 59, -3*x + 2*u + 2487 = 2440 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-16)\/(-20)*(-1 + 6). Suppose -8 = 2*w - h + 91, m*h = 2*w + 108. Calculate the common denominator of (2\/w)\/(1\/58) and -63\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 - 10 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(-1)*m)**(-7\/10)*(m**1*m)**6)\/((m\/(m**(-1\/2)*m))**(-33))**(4\/7) assuming m is positive.\nAnswer: m**(1353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/1372*-7)\/(1\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6666 - 73324\/11. What is the nearest to -0.5 in -30, 0, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160*t = -159*t - 380. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -278, -558, -838, -1118, -1398, -1678?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.1, -0.2, 0, -2\/19, 0.745, 1\/2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**5 + 4*p**4 + 2*p**3 - 4*p**2 - 6*p. Let j(v) = -2*v**5 - 7*v**4 - 3*v**3 + 7*v**2 + 10*v. Let g(h) = -5*c(h) - 3*j(h). Factor g(s).\nAnswer: s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17916163241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-3) - -1)*3. Let t(u) = 2*u**2 + u - 195. Let o be t(0). Let n = 781\/4 + o. Which is the nearest to 1\/3? (a) -3 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the first derivative of 4\/3*i**6 + 0*i + 0*i**5 - 5 + 0*i**4 - 5*i**2 + 0*i**3. What is the second derivative of p(c) wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200713 is divided by 12533?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 64\/(-134400)*-21*-6*(-6)\/9?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c + 24. Suppose -267 = -9*v - 87. Let x be l(v). Solve 0 = -5*q - x + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274892 is divided by 818?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 - (-4 - (-30)\/(-5)). Let b(a) = a + 7. Let k be b(-5). Solve c + g = -k*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 7*c**3 + 5*c**2 - 3*c + 3. Let o be h(1). Calculate the common denominator of 11\/18 and 8\/50*(-26)\/o.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 376?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 11, -2687, -7177, -13459, -21533, -31399?\n\"Answer: -896*k**2 - 10*k + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c + 13. Suppose 6 = -3*q - 6. Let d be o(q). Calculate the greatest common divisor of d and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -158.\nAnswer: 3\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40 + (5 - (30 + -5 + -5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 12:14 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(2*-1))\/(-30) - 675\/4050?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 20 = x, 2*x - 20 = -3*x + 5*g. Which is the third biggest value? (a) -1 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, -1\/9, -1\/5, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -285887190*-0.3\nAnswer: 85766157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.41, -0.09 in decreasing order.\nAnswer: 0.41, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7433 - -37168\/5. Let k(f) be the first derivative of f**3 - 3\/2*f**2 + 19 + 0*f - i*f**5 + 3\/4*f**4. Factor k(t).\nAnswer: -3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -19361*c + 19365*c + w, c = 4*w - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -30 + 32. Suppose -130 = -4*z + 2*l, -2 - t = -4*l. Suppose 0 = 3*h + 5*x - 34, -4*x + z = 5*h - 2. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8403047887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 520204580?\nAnswer: 2, 5, 7, 557, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2 and 536306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 112 = 20. Suppose 55*k = 52*k + 9. Solve a = -4, -k*o + a = -a - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1241821 - -2117.\nAnswer: -1239704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(126\/12)*4*588\/(-63). Factor 8\/3*b + 4\/3*b**3 + s - 20\/3*b**2.\nAnswer: 4*(b - 4)*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 73, 9, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14700, -15599, -18046, -22815, -30680, -42415, -58794?\nAnswer: -80591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2 + 31*y + 142. Let m be n(-26). Solve 6 + m = -9*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Simplify ((-1*sqrt(90) + (1*sqrt(360) + sqrt(10) - sqrt(10)))\/(-2*sqrt(450) - sqrt(450)))**2.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 457 divide 382966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + (-5 + -14 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*y + 228 = -6*y. Suppose 3*q + q - 16 = 0. Suppose q*l - 100 - y = 0. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87736078421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9351 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -128 - -147. Suppose -7*y = -4*y - 285. Calculate the greatest common divisor of f and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*s - 39*s = 7, 4*m - 4*s = 44. Suppose 4*h - 35 = -i, 0 = -0*i + 4*i + 4. Solve 0 = -w + m*w + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + -a09?\nAnswer: -a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + (-25 - 14) - (-8 + -4 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*v + 58*v + 4*v - 3601 = 2385 for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 8928551 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 2:45 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4814*y**2 + 3068*y**2 - 239*y**2 + 1859*y**2.\nAnswer: 9502*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 34302095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 382533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/24*-6)\/(20\/80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1602*r + 9578 = -67318 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is z in -2*z**4\/7 - 45832*z**3\/7 - 266889468*z**2\/7 - 49474956520*z\/7 - 2330575730450\/7 = 0?\nAnswer: -11363, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**2 + 18149464*k + 20587690217956.\nAnswer: 4*(k + 2268683)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 1:55 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*t**5 - 6*t**4 + 92*t**3 + 21*t**2 - 245025*t wrt t?\nAnswer: 40*t**3 - 72*t**2 + 552*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j + 17. Let g be d(13). Suppose -u - 2*i + i + 2 = 0, i + g = u. Suppose -7*h = -u*h - 76. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*m**3 + 6*m**3 + 0*m**3)*(-12*m - 17*m + 8*m) to the form q*m + l*m**3 + y*m**4 + t + i*m**2 and give y.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100000000101001 + -101?\nAnswer: 100000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0.3, 0, -5 in decreasing order.\nAnswer: 0.3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80846 is divided by 13462.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.8 - 1.2. Put -35\/3, k, 2\/11 in increasing order.\nAnswer: -35\/3, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -59, 0.2, -89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*j - 38964 - 242406. Let c = -412759\/22 + j. Find the common denominator of c and 135\/132*10\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 + (-5 - (24 + -44)) + -98?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -10989*b + 17565. What are the prime factors of y(-7)?\nAnswer: 2, 3, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 104\/48*(-6)\/4. Let n = -3429\/4 - -857. Is f bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 28.609 + -24101.\nAnswer: -24072.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524 is divided by 100.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1340*a*x*z + 3701*a*x - a*z - 3*a - 2*x*z - 10*x - 2*z - 1122129 wrt x?\nAnswer: -1340*a*z + 3701*a - 2*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((3\/3)\/(25\/(-10)))\/((-6)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do -61\/2927630 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4187521907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 896047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.07? (a) 17.215 (b) 3 (c) -11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4 + 8*l**3 + 105*l**2.\nAnswer: -l**2*(l - 15)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 0 + 1 - 21*t**3.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 480268 rounded to the nearest one thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66\/(-54)*(-7 - (-23 - -25)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20014.\nAnswer: 2, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 11, l: 9}. What is prob of picking 2 c and 2 l?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.42 + -59.42. Let q = p - -58.28. Let h = q - -0.12. What is the closest to -2 in 0.7, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 236119842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 74715653*h**5 - 43500937*h.\nAnswer: 1494313060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + ((-4)\/(-6) - 186\/54).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of n**5\/135 + 13*n**4\/18 - n**2 + 4*n. Solve j(v) = 0 for v.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1809 + -1806. What is the third smallest value in 3\/8, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157 a factor of 75304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 10 or -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -142*k + 39*k - 3573 + 792 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 2*s + 3 = 0, 4*s - 2*s = 3*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2760)\/(-130) - (-51)\/(-221).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 15, 2\/25, -1.266, -3, -2\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 206544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1c - -1bbe?\nAnswer: 1ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 123886219*d**4 - 2*d**2 + 13637*d + 5272?\nAnswer: 2973269256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 592410 = 7*c + 58*c - 0*c. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34554 times -0.2?\nAnswer: 6910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i - 8 = 3*o, -o - 16 = 3*o + 4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2\/4 + 201987879*f\/8 - 100993941\/8.\nAnswer: 3*(f + 33664647)*(2*f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -16 - -15. Let z = w - -5. Find the third derivative of 12*h**2 + 10*h**2 - 23*h**2 - 4*h**z wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 + 20 = 5*y - 5*g, 5*g = -y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.06, -2\/11, -11, -1\/7, 5 in increasing order.\nAnswer: -11, -2\/11, -1\/7, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o - 4*z = 164, -4010*o + 4*z - 7 = -4011*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3144\/(-168) + 19)\/((-30)\/(-14)). Sort -2\/7, -43, -5, i in increasing order.\nAnswer: -43, -5, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 28 + 34. Let f(p) = -8*p - 17. Let a be (4 - 5) + -9 + 7. Calculate the remainder when y is divided by f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2653382*b**2*p**2 + b*p + 4528639*p**2 wrt b?\nAnswer: 5306764*b*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*v**2 - 120*v + 39.\nAnswer: 3*(v - 13)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 50031197, 50031198, 50031199, 50031200?\nAnswer: 50031201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - 5257?\nAnswer: -5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from peepepelppp. What is prob of sequence lpe?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vmq when three letters picked without replacement from {z: 1, v: 2, q: 1, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2582*f**2*t**3*u**2 + f**2*t**2 - f*t**2 - 617*f*t*u**2 wrt t.\nAnswer: -15492*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22\/(990\/(-1605))*-102 is divided by 363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*u = -4*u + 476 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (63\/96)\/(2\/24) and (-3 - (-141)\/42)*5\/(-25).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 411, 1633, 3655, 6471, 10075, 14461, 19623, 25555?\nAnswer: 32251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z**2 - 195 - 182 - 204 + 581 - 8*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-10) - 53003\/(-5). Suppose -5*s - 8 = -h - 3, 0 = h - 5. Suppose 0 = 2*m - 2 - s, -f + m = r. Round f to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -13*n**2 - 3*n - 27. Let q(c) = -23*c**2 - 5*c - 55. Let b(f) = -7*p(f) + 4*q(f). Determine b(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-14)\/(-273) + (-6)\/117. Let f = -7 + 15. Solve m = 9*u - f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/45 - -37\/180. Let v(o) be the first derivative of -i*o**4 + 2 + 0*o**2 + 0*o + 1\/3*o**3. What is the third derivative of v(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 + 6*f**2 + 462*f - 2771. Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-7 - -6)\/((-1)\/43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -240 divided by 30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - -118. Suppose 0 = -131*o + n*o + 199976. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -251*y + 12. Let d(g) = -252*g + 16. Determine -3*d(x) + 4*p(x).\nAnswer: -248*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-130)\/(-15) - (-1)\/3. Let d be 3\/((-4)\/((-40)\/3)). Is d at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2265830 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s**2 + 235*s + 235*s - 470*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from tttttsttts?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 + b**2 + 5*b - 3. Let j(f) = -7*f - 3*f**2 - 2*f**2 - 22 + 6*f**2. Let v be j(10). Suppose 4*n + v = -t - 3*t, -2*n - 13 = -t. Give z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - d = 100, 0 = -d - 0*d - 4. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159 + 484 - 158 + 42*b - 164.\nAnswer: 42*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 2378 = -n - 2383, 5*w = -4*n + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is f in -3*f**3 - 434202*f**2 - 15710513856*f + 31422764544 = 0?\nAnswer: -72368, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 1 - 1)*(2*d**2 + d**2 - 5*d**2) + (-2*d - d + 8*d)*(-2 + 2 - d) in the form y*d**2 + p + s*d and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7450*d**4 - 7*d**3 + 2011*d + 332.\nAnswer: -89400*d**2 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**2 - 6*y - 2. Let x be w(-2). Solve x*a = 5*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**2 + 8*d - 3. Let m be q(4). Let c(b) = 15*b**2 + 9*b + 9. Let r(a) = -7*a**2 - 4*a - 4. Give m*r(t) + 6*c(t).\nAnswer: -t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35399070 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 2*u - 7 = 0, 3*l - 3*u = 2*l - 27. Let m = 11 + l. Let p = 3.9 - 1.9. Which is the biggest value? (a) m (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 954015842.\nAnswer: 2, 13, 29, 1265273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 8 - 27 - (15 + (9 - 2 - 9))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 + 15. Let a(h) = -4 + 80*h**q - 76*h**2 + 4. Let d(b) = -2*b**2. Give a(d(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87 = -2*m - o, -4*m = -0*m - 2*o + 170. Let a = -25 - m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98289341.\nAnswer: 41, 251, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -61857 divided by -29\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1999 is divided by 661.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (0 - (-15 + 19)) + (-4 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*k + 24*k = -305410. Let z be (k + 4 + -2)\/((-1)\/(-118)). Suppose 7912 = -4*y + z. Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, -91083, -5.\nAnswer: -91083, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add 22276 and -44.\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (117\/351)\/((-3)\/(-99)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 455943834 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.23*61.\nAnswer: -14.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3663, 14797, 33361, 59361, 92803?\nAnswer: 133693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4964786 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14256 = 34*c + 2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of f**3*k*q**2 - 2*f**3*q - 2*f**2*k*q**2 + 77*f**2*k*q + 20*f**2*q**2 wrt q?\nAnswer: 2*f**3*k - 4*f**2*k + 40*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 114*j + 486. Let z be l(5). What is the greatest common divisor of z and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*d + 1311 = 576 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -4*w - 4*n + 62, -n - 97 = -4*w. Suppose w = 3*q - 26. Let j = q - -16. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b + 2. Let q be t(-6). Suppose -2*k - 3*k = -120. Calculate the greatest common factor of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 10:00 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 + 26.5. What is the nearest to 0 in -2, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-777)\/455 + 1290\/559\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*x + 3*x + 0*x)*(-3 + 2 + 3) + 2*x + 0*x + 0*x + (2 + 3 - 1)*(-153 + 20*x + 153).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/578345 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b - 10. Suppose 5*k + 50 = 10*k. Let m be t(k). What is the closest to m in -0.4, 4, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 2:37 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11.9? (a) 0.1 (b) -2\/11 (c) -4 (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 5 (b) 32 (c) -78273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/7 (c) 13 (d) -2 (e) -0.2 (f) -97198 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5\/2)*k**6)\/(k**0\/((k*k*k**(-5))\/k))*(k**(1\/7)\/(((k*k**(-4))\/k*k)\/k))\/(k**(2\/9)*k**(-2\/19)\/k) assuming k is positive.\nAnswer: k**(10835\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40952.921 - -14.579. Let o = u - 40967.719981. Let q = o - -0.22. Round q to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -123*j + 814. What is l(7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66) - (sqrt(66) - sqrt(66)*-3*6 - sqrt(66)))*-6*-3)\/((sqrt(120)\/sqrt(5))\/sqrt(4) + sqrt(6) + sqrt(12)\/(sqrt(2) - sqrt(6)\/sqrt(3) - sqrt(2))).\nAnswer: -306*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 470 = 5*y + 6*d, 0 = 4*y - 5*d - 403. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.7 - 71.7. Let i = -245 + t. Is 2\/3 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.272 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 - 9*p - 17. Let x be h(11). Suppose 2*r = 4*k - 14, 2*r + 13 = 2*k + x. Suppose k*i - 299 = -110. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*j + 6 - 207 - 81 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 4 = -3*b, z + 4*b + 6 = 0. Let j be (z - -1) + (-6)\/9*-6. Let x = -0.1 + 1.1. Sort 4, j, x.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4 = -0. Suppose -b - 2*b = -5*g + 17, 71 = -j*b - 3*g. Let x(t) = -t**2 - 16*t + 39. What is the tens digit of x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - 1 = 0, 2*f = -2*v - 0*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -24*i*y**2 + 56*i + 6*y**2 + 2 wrt y.\nAnswer: -48*i*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1152 - -513?\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1404a6 (base 14) to base 10\nAnswer: -692418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuxu when four letters picked without replacement from xxuuxxxxux.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168 = 8*c - 104. Let i = -32 + c. What is the tens digit of (27\/i)\/((-5)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -19*g**4 - 2 + 14*g**4 - 3*g**2 - g + g**2 in the form o*g**3 + s*g + f*g**2 + h*g**4 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 3:52 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43, -17, 37, 131, 277, 487, 773?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43, 21, -1, -23, -45?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 492600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7)\/5 - (-12132)\/180. Solve m = 19*d - 52*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 6*sqrt(363)*2*2 + 0 + (sqrt(363) + (sqrt(363)*-1 - sqrt(363)))*5)**2.\nAnswer: 836*sqrt(3) + 131047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 430 - 392. Is o not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 57 + -62. Let i = 2 - 3. Let j be ((-24)\/(4 - 10))\/(-6). Which is the third smallest value? (a) j (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 6*w**3 - 9*w + 8. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.11 and -111.\nAnswer: -12.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -906, -1811, -2692, -3543, -4358, -5131?\nAnswer: -5856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 - 3. Suppose 0 = -f + s*f - 504. What is the common denominator of -11\/4 and (-754)\/f + (-2)\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -1. Let s(w) = 4*w**2 - 14 - 4*w**2 - w**2 + 17. Let t(i) = i**3 - 5*i**2 + 16. Calculate m*t(x) + 11*s(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 736 is divided by (2 + 3*18\/(-81))*165.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -32, -31, -30, -29, -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0*(-2)\/(-8))\/4. Solve -5*k - 10 = -k - 2*f, i = k + 5*f - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 130823 and 8547.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 4151\/812 - 0 - 2247\/428\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - (3 - (10 - 3))) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47\/(14476\/112)*(-3)\/(-2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**3 + 1640565*h**2 + 134573496240*h + 134571855680.\nAnswer: 5*(h + 1)*(h + 164056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/105 and 1\/50892?\nAnswer: 1781220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 251*y + 4758. Determine d(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 21*o + 34 + 19*o - 6*o**2 - 70 + 52. Let q(d) = d**2 - 8*d - 3. Determine -2*l(t) - 11*q(t).\nAnswer: t**2 + 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4859, -6667, -11581, -21155, -36943, -60499, -93377?\n\"Answer: -259*t**3 + t**2 + 2*t - 4603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 29 = 29419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1700) + 4)*5.\nAnswer: -100*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -43*f**3*t**2 + 13*f**3*t + 15*f**2*t**2 - f**2*t - f*t wrt f?\nAnswer: -258*t**2 + 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, r: 2, n: 1, c: 1}. Give prob of sequence qr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2168766.\nAnswer: 2, 3, 71, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 688 and 6?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkokoookkook. What is prob of picking 2 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28 + 6. Let g = z + 52. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/((-60)\/(-8))*126. Let p = j - 40. What are the prime factors of ((-24)\/16)\/((-3)\/p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 1201111202?\nAnswer: -1201111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07079 to 3 decimal places.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + x + 3)*(-4 + 0 + 5)*(2*x**4 + 0*x**4 + x**4).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50 and 13150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 4*r**3 + r**3 - 6*r**3 + (r**2 + 3*r**2 - 2*r**2)*(3*r - 3*r - r) + 62697*r**3 - 30081*r**3 - 31334*r**3 as p*r**3 + m*r + t*r**2 + c and give p.\nAnswer: 1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 84, -34\/7 in decreasing order.\nAnswer: 84, 8, -34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14568929.999714 - -14568992. Let g = z - 62. Round g to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 14 + -3220016441?\nAnswer: -3220016424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 4:19 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -23200255 + 16?\nAnswer: -23200236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 3)*(-42*y - 869 + 863 - 40*y - 46*y).\nAnswer: -256*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2152344 and 7944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1 and -10770.558665.\nAnswer: -10770.658665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of p**3*r**2*t - 11*p**3*r**2 - 3*p**3*t + 39*p**2*t + 3*p*r**3 + 2*p*r*t - p*r wrt r?\nAnswer: 2*p**3*t - 22*p**3 + 18*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -4*x**4 + 790824*x**3 - 52125579408*x**2 + 1146015039628760*x - 37761759966872172 = 0. What is x?\nAnswer: 33, 65891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 352 is divided by 185.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 184.54469 - -16.42511. Let p = 201 - r. What is p rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 86\/35 - 20\/7. What is the nearest to 0.1 in b, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -7684*p**2 - 4 - 3 + 9797*p**2 + 7. Let q(t) = -t. Calculate m(q(z)).\nAnswer: 2113*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -6ae (base 15) to base 2.\nAnswer: -10111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 - 5*d + 2. Suppose 0*r + 3*r - 27 = -4*g, -2*r + 13 = g. Let s be u(r). Solve -2*j + 0 = -4*l + 2, -3*j = -s*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 518542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/((-12)\/(-213)))\/(2\/(-8)). Let o = q - 289. Let p(l) = 4 - 7*l - 2*l**2 - 3 - 2 + 2. What is p(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 + -17. Let v = -24 - y. Let l(r) = r**3 - 4*r**2 - 2*r. Determine l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 - ((15 - 26) + 11).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 151\/180636 and -71\/45159.\nAnswer: 180636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xrxxbxxbxxxxbb. Give prob of picking 2 x and 2 b.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h - 70. Let y be j(24). Which is the smallest value? (a) y (b) -2\/5 (c) 0.32 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (77 - (29 - 13)) + (-5 - 12) + 14\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2005025, 4010043, 6015061, 8020079, 10025097, 12030115?\nAnswer: 14035133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -57*n + 237*n - 3600 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -8*f + 98. Let h be k(12). Let s = 4.5 + -0.5. Let u be 1\/((1 - 9)\/2). What is the biggest value in u, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 37.9195 decades?\nAnswer: 0.379195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -3*i + 5*i - 4*i. Let b be -3 + 0 + 5 - (-39)\/3. Suppose 2*m - o = -3*o - 8, -5*o = b. Calculate v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 26*j**2 + 8981*j + 35887. Determine k(-4).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 14 = -4*c - 2*n, 0 = -3*c + n + 52. Suppose 0 = 2*b - 0*b - c. Suppose u + 0*u - b = 0. What is the remainder when 15 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*2\/(-4)*8\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -86938100 rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 28 = -4*a, 0*l + 3*l = 5*a + 15. Calculate the greatest common factor of 80 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*i**2 + 5*i**2 + 3*i**2 + 4259*i**3 - 4246*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**2 + 4*g - 5. Let p be a(4). Let b be (0 - -4)*p\/(-28). Let u be (-51)\/(13464\/242) - 1\/(-6). What is the third smallest value in 2\/11, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2976 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) 319 (c) -1 (d) 4 (e) 3677\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 14*a - 22. What is z(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25*h + 49*h - 2*h**2 - 3*h**3 - 24*h + 4*h**3 - 148 to the form a*h + y*h**2 + g*h**3 + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/962 and -11\/893883.\nAnswer: 23240958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/13 (b) -1\/2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1376 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p**3\/2 + 168*p**2 + 3*p\/2 - 168 = 0. What is p?\nAnswer: -1, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r**(-3\/10)*r**(3\/7)\/r*(r**0)**(-29) assuming r is positive.\nAnswer: r**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.091 times -853978?\nAnswer: -77711.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + (-2 - 0) + 132. Suppose 2*j + 2*v + 138 = 0, -j - 2*v - 53 - 15 = 0. Let k = j + c. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of 0*g + 4*g**2 - 1\/72*g**4 - 1\/180*g**5 + 0 + 0*g**3. Factor o(b).\nAnswer: -b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14575 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -2*(sqrt(539) + (sqrt(539) - (-2 + sqrt(539) + -1)**2) + (sqrt(539) + (sqrt(539) - (sqrt(539) + -6*(-1 + sqrt(539)) - sqrt(539))))**2) + 2)*-5.\nAnswer: -6160*sqrt(11) + 339835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -687 and 6.\nAnswer: -4122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3*x + 6. Let q be f(1). Let l(p) be the second derivative of q*p + 3*p**2 + 0 - 1\/2*p**4 - 9\/20*p**5 + 3\/2*p**3. Factor l(z).\nAnswer: -3*(z - 1)*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2\/11*p**5 - 10\/11*p + 4\/11*p**2 + 8\/11*p**3 - 8\/11*p**4 + 4\/11 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - 85\/(-15)) + (-70)\/168.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 72 = 5*l, 134 + 46 = -5*p + l. What is the units digit of 6\/p + (-194)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 1 - 3 + 6 + 0 + 3*s + 7*s**2. Let i(u) = -u**2 - u - 1. Calculate -h(l) - 4*i(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(52)\/(sqrt(144) - sqrt(144)*2) + -4 + -2 + (2*sqrt(13))**2 + sqrt(13) + 3 + -2 + sqrt(13)).\nAnswer: -47 - 11*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30 + -11. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of -185*f**2 + 17*f - 97. What is the tens digit of y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2848448 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 686.8 + -687. Let l be (1\/(-2))\/(2\/(-20)). Put 3\/4, d, l in descending order.\nAnswer: l, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*v + 130 + 111*v**2 - 19 + 256*v**2 + 4*v wrt v?\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -23 <= -246\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -15\/12311 and -87\/1898.\nAnswer: 1797406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 - 5*v - 10. Calculate z(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + 5. Suppose -j*x + 30 - 152 = 0. Let l = -53 - x. What is the highest common factor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4*w**3 - 21*w**2 + 152?\nAnswer: -12*w**2 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 43 and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 3*t**3 - 6747*t**2 - 2871855*t - 281517201 = 0.\nAnswer: -189, 2627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 + 3*s**2 - 4*s**2 + (0 - s + 0)*(-5*s + s + 5*s))*(-17 + 20 - 12) + 4*s**2 - 5*s**2 - 2*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i - 2. Give c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/7)*t*t)\/(t**7*t*t))\/(t\/((t\/t**6)\/t*t)*t*t**(-6)) assuming t is positive.\nAnswer: t**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1613878 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(152)*2 - sqrt(152))*-2 + sqrt(152)))\/((2*sqrt(96)*3)\/sqrt(12)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(114) + sqrt(114))*1)\/(sqrt(6) + (sqrt(6) - 1*sqrt(486) - sqrt(6))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6098, -1\/3, -1, 234?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 134354 - 4023?\nAnswer: 130331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3239359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11119411 - -2240589. Round x to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + 0. Suppose 5 = 5*l - 25. Let f(g) = g - 2. Let h be f(5). Solve h*o = l*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -27 - -11. Let v(q) = q**3 + 2*q**2 + 5*q + 15. Let i be v(0). Let x be (-20)\/i*(-2 + (-93)\/(-42)). Do x and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 - 7*b**2 - b + 10. Let s be v(7). Factor 6 + 34*y + 42 + s*y**2 - 58*y.\nAnswer: 3*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19031\/10 - -1902. What is the common denominator of -21\/188 and b?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2952?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -198 - -283. Calculate the remainder when 337 is divided by b.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 127 - 11. Does 29 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 5*z**3 - 185*z**2 - 29*z - 1. What is y(5)?\nAnswer: -4146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.73, 13, -119, -4?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v - 1. Let a be d(-2). Let x(r) = 3*r + 2. Let o(z) = z. Let y(q) = -2*o(q) + x(q). Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 3*b - 28. Suppose 4*l = -5*h - 3 - 4, b*h + 14 = l. What are the prime factors of (1 - 0) + l*(-276)\/(-8)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2863 * 0.5.\nAnswer: 1431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + 1\/(3\/(-2)) - 114400\/(-528). What is the highest common divisor of 120 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - (-82 - -105 - (-2 - -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -586 + 580. Let u(d) = -4*d - 27. What is u(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 + 2)\/(3\/9). Let i(t) = -t - 3. Let z be i(h). Let o = -63\/2 - -31. Which is the nearest to o? (a) 2 (b) 1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(((-1092)\/8)\/(-21))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -51954111400 rounded to the nearest 1000000?\nAnswer: -51954000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -10 (c) -1\/3 (d) -1\/10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 4*c**4 - 6 + 6 - 75*c - 4*c**3 + 73*c as z*c**4 + m*c**3 + g + j*c**2 + r*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**3 - 15*a**2 - 9*a - 54. List the prime factors of x(13).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w**(-18)\/w*w*w)*w*w**(2\/17)*(w*w**(-1))\/(w*w**(-1\/3)\/w))**22 assuming w is positive.\nAnswer: w**(21824\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 0*u + u**2 - 2*u**2 + 5*u + 6. Let r = -5 + 10. What is the units digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -157 - -112. Is 79 a factor of ((-132)\/(-8))\/(p\/(-2490))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 9:18 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be (10\/(220\/(-33)))\/(4\/(-32)*3). Solve 5*a + 2*y = 10, -8 = -x*a - 87*y + 83*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6 times -3488\nAnswer: 2092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 231103097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 110620 (base 7) to base 11.\nAnswer: 13732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118260 - -0.1048347.\nAnswer: -118259.8951653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 579732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 2 - 144*j**2 + 145*j**2)*(3*j - 3*j + 2*j) to the form k*j**2 + t + d*j**3 + g*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 37 = 4*t, 3*x - t - 128 = 4*t. Let i = x + -2. Let y(m) = -m**2 + 22*m + 189. Calculate the remainder when i is divided by y(28).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -4*s. Suppose s = p - 0*p + 4*j + 6, 0 = -2*p + 4*j + 24. Suppose 2*c + p = 4*y - 8, 4*c = -12. Solve -3 = 5*v + y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -t**2\/5 + 2556*t\/5 - 5108\/5 = 0. What is t?\nAnswer: 2, 2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 86*m - 90*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/((-8)\/214)*-2. Let d(s) = 9*s**2 + 7*s - 11. Let l be d(4). Let z = l - y. What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1071612028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -284 + -305.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 66429, 66369, 66277, 66159, 66021, 65869, 65709, 65547?\n\"Answer: v**3 - 22*v**2 - v + 66451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (-3 + -12)) + 23 + -39 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 4*y - 6*y - 20 = 0, 20 = k - 3*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3725 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(1\/3)\/i*i)**5*i**(-6)\/((i*i\/(i\/i**(-11)))\/i) assuming i is positive.\nAnswer: i**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71515 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 1702*b. Let d(f) = -2*f**2. What is d(x(m))?\nAnswer: -5793608*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 619 + -597. Solve -2*n = -17*a + 19*a - 2, 3*a - 2*n = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - j + 0*j - 15 = 0, -5*d + 3*j = -25. Suppose d*f - 48 = 7. Is f > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -35629185.\nAnswer: 1\/11876395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - c - 12 = 0, -5*c = 4*r - 2*c + 28. Sort -2, 4, r in decreasing order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 j, and 1 b when three letters picked without replacement from {j: 6, a: 4, c: 5, e: 1, b: 3, w: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 8*v - 23. Let a be i(7). Let y be (-17)\/(-4) - (7 - (-108)\/a). Solve -y*t + 10 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*j - 16*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 4028, 3909, 3710, 3431?\n\"Answer: -40*w**2 + w + 4067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 219482, 70, 16 in decreasing order.\nAnswer: 219482, 70, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y - 3*y + y)*(-2 + 2 - 1)*(2*y + 3*y - 4*y)*(-21*y + 6 + 4 - 9).\nAnswer: -42*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + x + 5*d + 32 = 0, 4*d = x - 8. Calculate the lowest common multiple of x and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2637785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {c: 4, f: 1, j: 1, k: 1, n: 4, i: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 177 and 12?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1422\/(-72) - -19) + -3)*(-12)\/35.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -289*q - 353 with respect to q.\nAnswer: -289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 18 divided by 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/13, 419.9, -62, -23 in decreasing order.\nAnswer: 419.9, -2\/13, -23, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -18*q**2 - 600*q - 4777. Determine x(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1\/12)*a)\/((a*a\/a**(1\/8)*a)\/a)*a**13*a**3 assuming a is positive.\nAnswer: a**(361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*d**4 + 2*d**4 - 4*d**4 + (-1 + 1 + d)*(-2*d**3 - d**3 - 2*d**3) + 3*d**3 + 2*d**4 - 3*d**3 + 10*d**4 - 3*d**4 - 4*d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -7376, -29785, -67132, -119417, -186640, -268801, -365900?\n\"Answer: -7469*v**2 - 2*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, 0.4, 13, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhiw when four letters picked without replacement from wwhwwihh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 1216*a = -493*a - 1569*a - 136750 + 25298 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2.5, -4, 0.5, -3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -5*i - 110. Let w be y(-18). Let l be (-24)\/(-2) + 10\/40*w. Solve 2 = -4*r + 5*d - 1, 5*r = 3*d - l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4826, 4707, 4510, 4235?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*x - 5745, -4*x + d - 2301 = -2*x. Let v = x + 1627. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4879*b + 584*b - 2382*b.\nAnswer: -6677*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(-5) - 0\/(-25). Determine i so that -21\/5*i**3 + 36\/5*i**4 + 0*i + 0 + f*i**2 = 0.\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1037*f = 1048*f - 22. Solve -x + f*d = -2*d - 23, 20 = -4*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + 5*h - 3. Let i be o(3). Suppose -i*s = -17 - 40. Let t = -7 + s. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/40 of a millimeter in micrometers?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 3310 = 10*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 97*f*n*p + 40*f*n + 5*f*p - 4*f - 9*n - p - 1331 wrt n?\nAnswer: 97*f*p + 40*f - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(3\/(-147)*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tbxbtbxjbtxbe. What is prob of picking 1 e, 1 j, and 1 t?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*u**5 + 74*u**4 - 10*u**3 - 34*u**2 + 12*u = 0 for u.\nAnswer: -2\/3, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of -2*t**3\/3 - 3*t**2\/2 + 2*t + 30. Let z = -4 + 6. Let f(k) = -1 + 0 + 2*k + 0*k + k**z. Give 5*f(m) + 3*s(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 32.35 - 0.35. Let s = o - 16. Let r = 13 - s. What is the smallest value in -4, 2, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -97 and 329.\nAnswer: -31913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p + 8. Let a = 22 - 12. Let h be z(a). Let f(s) = -s**2 + 1. Let x(c) = -2*c**2 - c + 1. Let v(g) = 6*f(g) - 4*x(g). Determine v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange w**2 + 0*w - 22 + 28 + 0*w to the form j + x*w + p*w**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2209 - 3281 = 2*w. Let u = 5149 + w. Suppose 5*b - 746 = u. What is b rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176)*-5 - (sqrt(440)*-1)\/sqrt(10))**2 + -2 + sqrt(88)\/sqrt(8) + 4*sqrt(275).\nAnswer: 21*sqrt(11) + 3562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 2:17 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/10004610 and 35\/12993?\nAnswer: 10004610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.915 - -7.916. What is n rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**(-3\/2)*m**(-22) assuming m is positive.\nAnswer: m**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9641 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -0*v + 145. Let c = v + 17. Let x(n) = n**2 + 12*n + 6. Let i be x(c). Solve 0 = -3*f - 3 - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*t = 11*t - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 2298*o**4 - 1095*o**4 - 1124*o**4 + (-2*o - 4 + 4)*(3 + 2*o**3 - 3) + 0*o**4 + 4*o**4 + 2*o**4.\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (13 + -11)\/((-2)\/(-4)). Solve 0 - 4 = g*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes before 1:25 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - 69ba1b2?\nAnswer: -69ba1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 3)*(3*r**4 + 0*r**4 - 2*r**4) - r**4 + 3 - 3.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 155, 3, 0, 1, 5, 13, 4 in ascending order.\nAnswer: 0, 1, 3, 4, 5, 13, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of -10*s**2 - 10*s + 1291. What is h(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7613821 a multiple of 1671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3023759927 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - (-7 + 6 + -5 + 11 + -7 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -259 (base 11) to base 15\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 439\/42 + -58\/7. What is the common denominator of w and (-3720)\/360*9\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/2 + (39\/6 - -2). Calculate the greatest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 192 divided by -12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**2 + 9*m - 10. Let k be b(8). Let j = k + 5. Suppose -h = -j*q - 11, -q - q = 2*h - 6. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6166 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of k**5\/40 + k**4\/12 - k**3\/12 - k**2\/2 - 2*k + 16. Factor n(w).\nAnswer: (w - 1)*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38464 is divided by 271?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 1\/7 (c) 0 (d) 53052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence skff when four letters picked without replacement from {k: 1, s: 8, f: 6}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 8*x = -6*x - 18, 0 = -u - 3*x + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -636*d = 82*d + 5026 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(5\/9)*u)**9\/((u*u**(-12\/5))\/u*u\/u**(-1\/6)))**(-48) assuming u is positive.\nAnswer: u**(-3656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -42 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 + 0.5. Let b = -945984 + 1050041873\/1110. Let q = -1\/370 + b. What is the closest to 0.1 in q, o, -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*d - 527*d + 3286 = 1487 + 11545 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 106 = 4*v, -5*v - 4057 = -6*x - 3921 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6256*-3.\nAnswer: 18768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 511461 is divided by 181.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76) - (sqrt(76) - 1*sqrt(76)))*6 + -1*-2*sqrt(76))\/(((2*sqrt(100) - sqrt(100)) + sqrt(100))*1 - (sqrt(100) + -4*sqrt(100)*-1)))**2.\nAnswer: 1216\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30 - 14. Suppose 0 = t*d - 19*d + 9. Solve -d*o + 24 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 174039 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g - 2. Let m(n) = 7*n - 8. Let u(d) = -4*d + 4. Let r(h) = 3*m(h) + 5*u(h). Let b be r(6). Let l be (1\/((-5)\/50))\/b. What is j(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from ytatda.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -259153*v**3 - v**2 + 1. Is a(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1042864 - 3307136. Round q to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 92596.14 millennia?\nAnswer: 9259614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1504, 1493, 1474, 1447?\n\"Answer: -4*l**2 + l + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kpugagyu. Give prob of picking 1 a and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**5\/7 - 2*i**4\/7 + 14*i**3 + 170*i**2\/7 - 432*i\/7 - 72 = 0.\nAnswer: -6, -3, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123, -643, -1517, -2745, -4327?\nAnswer: -6263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05148 take away -13?\nAnswer: 12.94852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 - 5*b - 7. Suppose -4*h = -3*h - 24. Let v = h + -12. Is k(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 466 - 466. Let d(p) be the third derivative of -9*p**2 + 0*p**5 - 1\/120*p**6 + a*p + 0*p**4 + 0 + 0*p**3 - 1\/210*p**7. Factor d(r).\nAnswer: -r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 36038, 72078, 108118, 144158?\n\"Answer: 36040*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 66, 124, 182?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -480 + 484. Solve -c*b + 2 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -22259*g**4 - g**3 - 634*g**2 - 277306*g - 469 wrt g.\nAnswer: -267108*g**2 - 6*g - 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -11*x**3 + 11*x + 15. Let y(j) = 7 + 5*j - 5 - 5*j**3 + 5. Let h(r) = 4*r + 4*r - 5*r - 4*r. Let o be h(6). Determine o*g(f) + 13*y(f).\nAnswer: f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/3 - 27963*q + 167782\/3.\nAnswer: -(q - 2)*(q + 83891)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -529952, -1059901, -1589850, -2119799?\n\"Answer: -529949*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 6 - ((-15 - -2) + 9) - -16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 140.28 and 0.6.\nAnswer: 84.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 10\/1 - (22 + (-51 - -24)). Solve -156 = p*v - 126 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 105977 is divided by 3654?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 500537075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 23, -1, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve o - v - 3 = 0, v + 0 + 3 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 5*r = -8, 3*r + 6 = 5*y - 4. Let i = y + 2. Let v be (6\/i)\/((-75)\/40). Which is the second biggest value? (a) v (b) -2 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (73 - 200 + 1423 + (0 + 0 + 1)*(0 - 2 + 1))*(0*a**3 + 2*a**3 - a**3) to the form b*a**3 + l*a + o + i*a**2 and give b.\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20160178 or 20160180?\nAnswer: 20160178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16363\/15 - -1091. Which is the second biggest value? (a) -2\/5 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 60\/7 and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1226 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -35 smaller than -101\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 16*t - 35. What is the hundreds digit of o(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/3 + 1\/(-3). Let b = -6 - -6. Suppose -2*u + 1 + c = b. Let j(l) = 7*l. What is j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -89 not equal to -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2740 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from ochcoco.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a - a + 3*a)*(-a - 1 + 1)*(101*a**2 + 151*a**2 - 49*a**2).\nAnswer: 406*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -14b (base 15) in base 9?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (4\/(-2) + -29). Let o be -2 - 2 - (-158)\/2. Calculate the greatest common divisor of o and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 438781 is divided by 62650?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.0795 and -98258?\nAnswer: 98258.0795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, n: 2, x: 1}. What is prob of sequence nux?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -21 - -124331?\nAnswer: 124310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 AM and 2:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 102 + i - 13*i - 17*i - 3*i + 12*i. Let d be n(5). Solve 0 = -d*o + 4 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -44, 2, -28, -5 in decreasing order.\nAnswer: 2, -1, -5, -28, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 218 + -187. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 74199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxexxxexexxx. Give prob of sequence xexe.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of d**3 - 1. Let q(y) = -480*y**2 + 963*y**2 - 484*y**2. Calculate t(q(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -3*c + 6416, -23*y = -c - 19*y + 2152. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 2*q**3 + 6*q**2 - 5*q - 13. Let g be k(4). Let w = -101 + g. Suppose w = 4*t + 18. What is the lowest common multiple of t and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/((-9)\/(-8)))\/(47\/(329\/(-294))).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 4 + 11 - 15 - 9*x. Let c(t) = -5*t + 2*t + t. Give p(c(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 1\/4, -1\/2, -9\/41?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -20.016 * -0.07\nAnswer: 1.40112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 3*q + 5*q)*(-1 + 1 - 8 + (1 - 6 + 3)*(10 + 0 - 1)).\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5906 (b) 0 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*i - 2. Let g = i + 3. Suppose 0 = 5*m - 3*m. What is the nearest to m in 0, g, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11621583.\nAnswer: 3, 523, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 8*p**2 - 4. Let j(r) = 21*r - 6. Let t be j(2). Suppose -t*q - 24 = -42*q. Let m(c) = 1. Give q*m(g) + a(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144260292?\nAnswer: 2, 3, 11, 443, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s + 11*s - 32*s. Let x(a) = -31*a**2. Give x(p(b)).\nAnswer: -15004*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - -1)*-2 + (-3800)\/60. Let x = 66 + m. Factor x*i**3 + 2\/3*i + 0 - 4\/3*i**2.\nAnswer: 2*i*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - -5 - ((33 - 3) + -20 + 12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2096 (base 13) to base 6\nAnswer: -32525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 131 a factor of 38252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 6 = 2*x. Let p = x - 4. What is the units digit of (3\/9)\/(p\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 19\/3, 1, -14\/33, -2\/5, -5, 4\/5 in ascending order.\nAnswer: -5, -14\/33, -2\/5, 4\/5, 1, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 3:45 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the second derivative of d**5\/20 - 25*d**4\/108 - 43*d**3\/9 - 28*d**2\/9 - 340*d. Suppose a(x) = 0. Calculate x.\nAnswer: -4, -2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, -574, 39 in descending order.\nAnswer: 39, 5, -1, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 85654 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.0098 + 13.5402. Let i = n + -13. Round i to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 364224981 to the power of 1\/2, to the nearest integer?\nAnswer: 19085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from trm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -57463 + -99b?\nAnswer: -58131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -510 + 514. Solve 0 = n + 2*r + 6, -5*r - 6 = -m*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 703*h**6\/6 - 2053*h**4\/12 + 2264*h. What is the third derivative of k(o) wrt o?\nAnswer: 84360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -24, -80, -184, -342, -560?\n\"Answer: -w**3 - 18*w**2 + 5*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00224122 rounded to 5 dps?\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1426365411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 124*v. Let j be m(1). Let c(n) = 35*n + 1931. Let h be c(-54). Suppose d - h = j. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 210 + -22?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - -2. Let j be 1\/r - (-19)\/4. Let i(x) = 3*x**2 - 126*x + 246. Let v be i(2). Solve y + 3*k + v = 0, j*y + 10 = -7*k + 2*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - r + 10 = -6*r, -2*r = 3*j - 13. Suppose 37*b + 16*b = 212. Suppose f = -0*s - 4*s - 12, -16 = 2*f + b*s. Is j smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -5\/96?\nAnswer: -5\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 11:43 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -311*s**3 + s**2. Let n be z(-1). Suppose 0 = -8*b + 4*b + n. Let j = -22 + 43. Calculate the remainder when b is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -2 (b) -2\/113 (c) 3 (d) 7\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1362*m - 1359*m + 27, 4*o + 25 = -m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 22222.308 months to centuries.\nAnswer: 18.51859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 49.734 * 0.1168.\nAnswer: 5.8089312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-230)\/138)\/(2\/72*-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -15? (a) 2 (b) -35 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 13. Let i be b(-10). Suppose 4*h - 139 = 3*y, -y = 4*h - i*y - 134. Suppose -3*a - 60 = -4*a. What is the remainder when a is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/40 and 4\/((-896)\/1029) + 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**2 - 78 + 78 + 6*k**2 to the form d*k**2 + z*k + b and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -8, -0.21, 1, -1 in increasing order.\nAnswer: -8, -1, -0.21, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4753302 to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 26996778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let 2*w**3\/5 + 33236*w**2\/5 - 66478*w\/5 + 6648 = 0. What is w?\nAnswer: -16620, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of ((-144)\/108)\/(2\/(-9)) + 2495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 55 and 0.302.\nAnswer: 16.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4\/63, 4, -0.4, 0, -4\/11, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -3*p - 4. Suppose 0*a + a = 2. Let b be 6*2\/(-8)*a. What is the remainder when w(b) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2569*s + 470*s - 1937*s in the form x*s + k and give x.\nAnswer: -4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*j**2 + 0*j**2 + 3*j**2 + (-54 + 6 + 11)*(4 + 1 - 3)*(-2*j**2 - j**2 + 5*j**2).\nAnswer: -145*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3666 is divided by 175.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 63 and 2079.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -2210169235 by -5.\nAnswer: 442033847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**2 + 22*f - 23. List the prime factors of i(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 + 40*b - 234. Let c be k(8). Solve -24 = -23*d + c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1880476.\nAnswer: 2, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 25 + 2003441?\nAnswer: 2003510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8912 is divided by 207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90446 - 90453 + 424*x**2 + 180899.\nAnswer: 424*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -10 (b) -5 (c) -0.5 (d) 71 (e) -3 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -13*i - 12. Let c(n) = 2*n + 2. Let a(t) = 6*c(t) + y(t). Let v(w) = 2*w**2 - 5*w - 1. Calculate -6*a(o) + v(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 52.68839ml?\nAnswer: 0.05268839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (108\/(-16))\/((-26)\/104)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -376127*c**3*x**3 + 459*c**3 + 1647*x**3 - 236*x**2 - 19*x wrt c?\nAnswer: -1128381*c**2*x**3 + 1377*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**3)**(-22)\/((q*q**(9\/4)*q)\/q*q*q**(-1)) assuming q is positive.\nAnswer: q**(-277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7593.5 - 7593. What is the biggest value in -118\/11, -5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -1\/4*p**4 - 3\/20*p**5 + p + 0*p**3 + 0*p**2 + 3. Factor s(l).\nAnswer: -3*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -472 + 0.0079269?\nAnswer: -471.9920731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooozzfizofzorofzrz. Give prob of picking 2 r, 1 z, and 1 i.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*r**2 + 5*r**2 - 14*r**2 - 5*r + (4*r - 12 + 12)*(5 - 3 + 0)*(4*r + 0*r - 2*r) to the form h*r**2 + b + n*r and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-199)\/(-6) + (-1)\/6. Let y = l + -19. Suppose 0*j = -3*j + f + y, -3*f = j - 8. What is the smallest common multiple of 6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 97 - 58. Let n = b + -174. Let f = -135.071 - n. What is f rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -10 (b) 7\/3 (c) 2\/7 (d) 0.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -44 + 962. Let b = l + -7355\/8. Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 + 168?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 6. Let g be (0*h\/(-2))\/(-5 - -7). Suppose v - 2*a + g*a = -34, a + 68 = -2*v. Is -33 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - 2) + (5 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ma when two letters picked without replacement from vammhhkmtmmmmmv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110*n**3 + 128*n**3 + 292*n**3.\nAnswer: 530*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13130*n**4 + 12*n + 16?\nAnswer: -157560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 594\/21 - 4\/14. Suppose 190 = 4*x - 4*q + 22, 0 = 4*x + q - 168. What is the greatest common divisor of x and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-81824)\/173876)\/(4\/(-493))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87 is divided by ((-176)\/(-12))\/(6\/9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 5:27 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -168264 divided by -171\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of 1\/27*b**6 + 2\/27*b**3 + 0*b**2 + 2 - 1\/18*b**4 - 2\/45*b**5 + 0*b. Factor d(k).\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14534.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 100, 112, 126, 142, 160?\n\"Answer: q**2 + 9*q + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - 1ac36c?\nAnswer: -1ac36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 0.5. Let d = w + 0.4. Let z(v) = -v**2 + v - 5. Let s be z(0). Which is the biggest value? (a) d (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 4*b + 24, -3 = 2*s - 4*b - 11. Let y(t) = t**3 + 6*t**2 - 3*t + 1. Let z be y(-4). Let w be 8\/z + s\/10. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -6. Let h be 2\/(-9)*(-105)\/28. Sort h, z, 1\/6 in ascending order.\nAnswer: 1\/6, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + -111001010110?\nAnswer: -111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 - 11*g + 3. Let b be a(-6). What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.06 - 0.26. Let l = 4 + f. Round l to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 6:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -3\/532?\nAnswer: -3\/532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 94363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.12 in -0.3, 4, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2392*r**3 - 6*r**2 + 13*r - 44. Let a be u(4). Round a to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2666868, -10667544, -24002004, -42670248?\n\"Answer: -2666892*n**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -g + 40. Let y be (-6)\/24 - (-58)\/g. What is the second smallest value in 5\/4, -1\/3, -1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24309 is divided by 913?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42499400 divided by -5.\nAnswer: 8499880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(468)\/sqrt(9)*-5)\/(5*(sqrt(24)\/sqrt(6) + sqrt(4))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**1)**(1\/3)*(o\/((((o*o**1)\/o)\/o)\/o)*o)**(-8)*(o**(1\/2))**(1\/16)\/(o*o**(2\/11)\/o*o*o\/(o*o**(-5))) assuming o is positive.\nAnswer: o**(-31135\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -38, 0.036, -0.1, -366, -0.5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-16 - -14)\/(-2)*(27 + 1). What is the greatest common factor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(1377))*6 - (6*sqrt(34)\/sqrt(2) + (2*sqrt(68))\/sqrt(4)).\nAnswer: -6 + 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5893?\nAnswer: 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u + 5. Let n = -1 - -1. Let r be z(n). Suppose -r*f + 2 = -83. Calculate the greatest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of g**2*q**4 + 22*g**2*q**3 - 3*g**2*q - 24*q**2 - 400*q wrt q.\nAnswer: 12*g**2*q**2 + 132*g**2*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 25506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*4*(-6)\/432.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/30982157 + 541072390013\/5112055905. Let u = c - 528\/5. Let k = u - 10\/11. Which is greater: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -45 - -317\/7. Which is the nearest to o? (a) 0.5 (b) 2\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3755702, -15022827, -33801360, -60091295, -93892626?\nAnswer: -135205347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -14*d**2 - 6*d - 5. Let z(b) be the second derivative of -5*b**4\/12 - b**3\/3 - b**2 + 910*b - 3. Calculate -3*s(j) + 8*z(j).\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 332*g**3*t**2 + 50*g*t**2 - 3*g wrt g?\nAnswer: 1992*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 - (-304)\/10 - (-500)\/(-1250). Solve -4*o + q = -14*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 - ((-2)\/17 - (-76)\/646). Sort z, -3, -8, 6 in increasing order.\nAnswer: -8, -3, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15047 (base 8) in base 6?\nAnswer: -50555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 118\/6 + 6\/(-9). Let q be 2 - (-4 + v)\/(-5). Let g(n) = -n**3 + 5*n**2 - 3. Determine g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j + 13481 = 4*p + 18*j, 4*j = 12. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 10 = -0*i. Let q be ((-1)\/i)\/(15\/(-420)). Is 2211\/4 - q\/(-56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*3\/120*(-2)\/(-1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r - 43 = 4*z, -8*z + 3*z - r = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 12:18 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-3\/4))**(-4\/7)*((((q*(q\/(q*(q*q\/(q\/q**(6\/11)*q))\/q))\/q)\/q)\/q)\/q)\/(q**(4\/3)\/q))**(-42) assuming q is positive.\nAnswer: q**(1132\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 56.82123 decades in centuries?\nAnswer: 5.682123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -205 divided by 40?\nAnswer: -41\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -162191 - a?\nAnswer: -1621a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1723236 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24 + 50*p**3 + 3*p**2 + 44 - 20 to the form r + d*p**2 + t*p + v*p**3 and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6\/(-4) + 8 - 7. Suppose 9*n + 54 = 6*n. Let g be 3 + 86\/n + 2. Is z less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 0.4, -17, 4, 3\/5, 132\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 344\/28 - 672\/294?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -39028935.80000935 - -39028933. Let a = 2.8 + v. Round a to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02729421522 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -4*v + 7*k + 20748, 4*k = 2*v - 10374. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -63, -76, -89, -102, -115?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 587513 is divided by 1632.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -2*t**4\/11 + 26*t**3\/11 + 128*t**2\/11 + 136*t\/11 = 0.\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 3 - 1 - 1 + 2*g**3 - g**2 + 4*g**2 - 9*g**3. Suppose -6 + 3 = b. Let m(j) = -20*j**3 + 8*j**2 + 2. Calculate b*m(h) + 8*z(h).\nAnswer: 4*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*u + 964 - 1813 + 8805 = -368*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6\/83317 + -73068589\/5832190. Let d = q - -53\/5. Find the common denominator of 25\/18 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28, 66, 108, 154, 204?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -39138*l**2\/5 - 39141*l\/5 - 3\/5 = 0.\nAnswer: -1, -1\/13046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 7*r - 4. Let s be ((6 + 0)*-1)\/(r\/(-2)). Let t be (s\/(-5))\/(22\/5 - 4). Solve 0*c = -t*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 467674378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.057, -7, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**2 + f + 4. Suppose -2*r - 6 = y, 5*r + 0*r + 10 = -5*y. Let u be p(r). Solve x - 4*x = -5*w - 37, 3*x - u = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 2*v + 86, -5*j + j = 3*v - 165. Let h be 3 + ((-4)\/14 - (-54)\/j). What is the first derivative of -184*k**4 + 3 + 92*k**4 + 95*k**h wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56 - 96 = 38*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 - 7 = 22*i. Is 1092910\/175 + i\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yjjz when four letters picked without replacement from {y: 5, z: 1, b: 4, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 + v**2 - 1. Let b(w) = -2*w**2 + w - 1. Let o = -26 - -25. Let j(p) = o*b(p) - s(p). Determine j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 + 6*k - 8. Let o be (-206)\/30 + 8\/(-60). Determine s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13682626301 less than 7.23?\nAnswer: -13682626293.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 + 4*z**2 + 2*z. Let v(b) = -b**2 + 33*b - 227. Let m be v(23). Give x(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -1) + 2 + 1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2124.3 - 2124. What is the fifth smallest value in 0.1, f, 5, -0.23, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1278463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1099695?\nAnswer: 3, 5, 167, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -819, -155, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.012 + -6.388. Let s = y - -6. Which is the third biggest value? (a) -5 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, f: 8, q: 2, g: 7}. What is prob of picking 3 g?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wqqwwwwwqq. Give prob of sequence wqww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 + 2*x**2 + x - 1. Let k be i(2). Let r be 2 - -3 - 357\/49. Do r and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -2*p. Suppose p = -2*k - k + 6. Suppose k*s - 126 = -0*s. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 6228612 = -971388. Let i = 9 + -6. Suppose 0 = u - i*u - b. Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (447 + 284 - 28 + 253)*(4*a**2 - 4*a**2 - 3*a**3) as g*a + n*a**2 + q + u*a**3 and give u.\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2\/25))\/((z\/z**(2\/3)*z)\/z*z))\/(z**(1\/2)*z*z\/(z*z*z**(2\/15))*z*z)*(z**2*z)\/z**(-2)*z**(-7)\/z*z**6\/z assuming z is positive.\nAnswer: z**(-39\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -11*y**3 + 344*y**2 - 95*y + 51. Determine i(31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 9 (b) -5 (c) 20905 (d) -1 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 165811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 + (-594 - -589 - (-105 - (2 - 0)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 23 = -m, -x + 21 = 2*m - 6*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**3 + 9*z**2 + 38*z - 276. Let t be f(10). Put 5, -3, 110, t in decreasing order.\nAnswer: 110, 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 2*h + 3*h - 640, -2*q = 2*h - 276. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 64 = -4*a, -46 = 4*v + a + a. Is 2 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -1, 1\/3, -2\/29, 1.92, -11 in ascending order.\nAnswer: -13, -11, -1, -2\/29, 1\/3, 1.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 18*h**3 + 6*h + 14. Let b(c) = -6*c**3 - 2*c - 5. What is -8*b(s) - 3*i(s)?\nAnswer: -6*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 106 - 1.1\nAnswer: 104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2005 + 216. List the prime factors of y.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 455443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 36677417.03 + -36533248.13065. Let p = s + -144166. Let n = 2.9 - p. What is n rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2299 - -9203\/4. Which is the smallest value? (a) -1\/2 (b) s (c) 1\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4835388 + 4835388 + 37*r**2.\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(252) - (sqrt(252) - -6*(2*sqrt(252) - sqrt(252))))**2 + -3*(-2 + sqrt(1008))).\nAnswer: -9078 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 65 = 2*d, 2*d = -3*j + 2*j - 77. Let b be 189*(4\/36)\/((-3)\/(-9)). Let q = b + d. Is 23 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -0.7066\nAnswer: 0.21198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15671 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/((n**(-8)*n)\/n)))\/(n\/n**13*n))**(-45) assuming n is positive.\nAnswer: n**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/((5\/(-10))\/1). Solve -d*w + 8 = 2*y - 6*w, -2*w - 4 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i**3 - 3*i**3 - 2*i**3 + (i**2 - 5*i**2 - 2*i**2)*(-i + i + i) in the form o + g*i + d*i**2 + v*i**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 372634452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (29 + -23 + 305\/(-50))\/(2\/(-8)). Factor -2\/5*u + 2\/5*u**3 + m*u**2 - 2\/5*u**4 + 0.\nAnswer: -2*u*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (s - 359*s**2 - 3*s + 109*s**2)*(-s**3 - s**3 + 0*s**3).\nAnswer: 500*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of -k**2 + 0 + 1\/2*k**3 + 0*k + 1\/20*k**5 + 1\/6*k**4. Let p(h) = 2*h**2 - 6*h - 2. Let o be p(3). Give s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13 + 21. Let r(i) = 2*i - 12. Let d be r(g). Find the third derivative of -3*v**2 - v**4 + v**d - 9*v**6 + 8*v**6 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 13371324*k + 79. Let h be a(3). Let s = 66504051 - h. Round s to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccccczccczz. Give prob of picking 1 c and 1 z.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 83392693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -347.\nAnswer: -4\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 254822954.8 - 254823328.7999799. Let k = p - -374. Round k to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2\/3 (c) -0.1 (d) 4299 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -15\/26? (a) -4 (b) -2\/5 (c) -15.31 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*m**2 + 10*m**3 - 47*m**2 + 5*m**3 + 36*m**2.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 5*i = 30. Suppose -d = -i*d - d. Factor 0*r + 0*r**2 + 1\/5*r**4 + 1\/5*r**3 + d.\nAnswer: r**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-4)*25*(22419\/(-705) + 35).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16.200004636 + -16.2. What is k rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 916 - 955.7. Let n = b + 40. Let w be (-16)\/36*(-3)\/2. What is the third smallest value in 1, w, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 59 = 38*a + 394 - 183 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -478+-13\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in twenty-one halves of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 120 and 64230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 161*g - 165*g + 0*b - 4*b - 16 = 0, -4*g = 23*b - 22 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*x - c = -10*x - 13, 33*c + 15 - 127 = 3*x + 65 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 + 3*i**2 + 2*i - 3. Let l be a(2). Suppose 6*f - 4824 = 4*f + v, -12061 = -l*f + 3*v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 - 2*i + 1. Suppose 3*l - 7 + 1 = 0. Let q be z(l). Solve -3 = -4*x + q*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 58799*z + 294006. What is y(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 23.2, 0.2, -5, -4 in ascending order.\nAnswer: -5, -4, 0.2, 23.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 3*l**5 + 327*l**4 - 3249*l**3 - 7467*l**2 - 3894*l = 0.\nAnswer: -118, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/324 and -7\/244764?\nAnswer: 2202876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.3, -0.3, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 49825897798.326?\nAnswer: -49825897801.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 6*q = -504. Suppose 0 = -3*x - 2*x + 5*o + 80, -5*o + 15 = 0. Suppose -q = -5*m + x. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nhzgfxg. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -41*c**3 - 4*c**2 - 11*c - 4. Suppose 0 = 7*q - 4*q - x + 11, -4*x - 4 = 0. Let n be h(q). Round n to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93, 93, 123, 183, 273, 393?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32648?\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -5.271 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16834 and 1482?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4941 - -4944. Let i be (-1 - -2)*-1*-1. What is the closest to -1\/2 in i, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2a + 49d?\nAnswer: 4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1711493 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 6 = -12. Let p(r) = -r**2 - 5*r - 2. Let d be 4\/6 + 28\/(-6). What is the lowest common multiple of p(d) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 0*p = 2. Let y(n) = 2 - n**2 + 3 - 3 - n - 1. Let s(o) = o**2 - 3*o + 3. Let k(g) = -s(g) + 2*y(g). Determine k(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 717 - 721.23. Let q = a + 4.43. What is the fourth smallest value in -1, q, 12, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11.48 - 1.52. Which is the smallest value? (a) 4 (b) t (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-122)\/60)\/((-1)\/(-2)). Let q = 68\/5 - x. Let a = q + -18. What is the nearest to -2 in -2, 4, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of 531*c**2\/2 + 2453*c + 1049. Differentiate m(h) wrt h.\nAnswer: 531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 23 = -3*g + 25, -z = g + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:57 PM and 6:06 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -42\/2197 and 37\/174135.\nAnswer: 29428815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 + 7\/(-2))*0. Suppose 5*b - 2*b - 3 = y. Let p(n) = 4*n - 8 + b + n**3 + 2 + 6*n**2 - 1. Give p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2365617 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 6*t**3 - 2*t**2 - 7*t - 11. Suppose 25 = -0*p - 5*p. Let l(a) = a**3 + a**2 - a. Let w(g) = p*l(g) + c(g). Is 16 a factor of w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -11*p**2 - 108*p + 1. What is v(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -19*o**2 - 283*o + 18. Determine a(-9).\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)*4)\/sqrt(8) + sqrt(99)\/sqrt(225).\nAnswer: 21*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003105462 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 26407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 30 + -18. Suppose -5*c - 3*d = -103, -2*c + 6*d + 50 = 5*d. Calculate the remainder when c is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 1799*z - 5. Let v = -12 - -7. Let i be n(v). What is i rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -95\/940814 and -99\/38?\nAnswer: 17875466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange f + 3*f**3 + 35 - 2*f - 30 to a + o*f**3 + r*f + w*f**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(27) + -4*sqrt(54)\/sqrt(2))\/((sqrt(36)*1)\/sqrt(4)).\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*v - 97 - 17 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/3)\/(2 - 1). Suppose s + 5*m - 22 = 3*s, -16 = -4*m. Let l = d - s. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p + 2*p**3 - 3 + 0*p**2 + 6 - p**3 + p**2. Suppose o = -2*q + q + 2, -4 = -5*o - 2*q. Calculate k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*v = 168. What is the remainder when v is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 532978 to the power of 1\/2, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 13 = -2*t + 4*m, -t + m = -6. Calculate the remainder when 163 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -37 + 15. Suppose 21*c = 15*c - 1020. Let u = c - -146. Is n < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04196 to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**3 - 98*o**2 + 830*o - 1950 = 0.\nAnswer: 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 11005605047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 6, m: 6}. What is prob of picking 4 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11.4 - -48.8. Let u = 4.2 - o. What is u rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -475200 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -149351030 to the nearest 100000.\nAnswer: -149400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -510547700 rounded to the nearest one million?\nAnswer: -511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/4)*s*s**(1\/3))**(-4\/19)\/((s**1\/s)\/(s\/(s\/((s**(-1\/2)\/s)\/s))))**(-15) assuming s is positive.\nAnswer: s**(223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1598.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 6*h + 2. Let l be k(5). Let v = 641 + -640.9. Which is the nearest to l? (a) v (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + -3b1?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**4 - 114246*x**3 + 4231107*x**2 - 3888354*x - 8233704 = 0. What is x?\nAnswer: -38119, -1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 206 - 208. Put -7, x, 5, 1 in descending order.\nAnswer: 5, 1, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 73, 101, 151, 223, 317?\n\"Answer: 11*y**2 - 5*y + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 25.62392 to 1 decimal place.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 32 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001501778 rounded to seven dps?\nAnswer: 0.0001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -231 + 235. What is the smallest value in x, -2\/5, -1\/8, 3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zkzzkzzipkkzzkzk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 4 = 4*a, a + 1 = -0. Suppose -2*x - 10 = -p*x, -23 = l - 5*x. Suppose 0 = 11*s - 4 - 95. Calculate the lowest common multiple of l and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 510 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 37 - 30. Let s = 1209 + -1203. Suppose -5 = -q + 3*n + 2, -q - 5*n = 1. Solve -s = q*o - g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -3 (b) -0.022 (c) -2\/7 (d) -1068 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0734 and -0.1.\nAnswer: -0.00734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 18 + 11 - 3*n.\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - y + 1. Let z(g) = 9*g**2 - 8*g - 3. Determine 6*o(f) - z(f).\nAnswer: -3*f**2 + 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**2 + 7*r. Let m be u(6). Suppose -4*g = m*g - 750. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20835 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: Simplify (r**(2\/7)*r)**(-2)*r*r**(-6)*r*r*r*r**(-5) assuming r is positive.\nAnswer: r**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*g + 2*g - 25 + 21 to the form k + b*g and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/1942 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*k - 0. Let a be (9 + 0)\/((-3)\/k). Solve 2*r = 3*z - 1, 2*z = -3*r - 15 - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 59*x + 27 - 68 + 36 in the form d*x + f and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2*t + 5*s = 4, -3*t + 14 = 4*s. Let g(n) = -2*n + 3. Let d be g(-5). Suppose -10*o + 15 = -7*o. Solve t*p + d = 6*p + x, -5 = -o*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.3 - -1.3. Let c = 0 - x. Let u = c - 0. Which is greater: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 11421 times -1.137\nAnswer: -12985.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 49, 27, -3, -1, -2 in ascending order.\nAnswer: -3, -2, -1, 27, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = n + 2*h - 13, 3*h + 13 = 180*n - 179*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 2995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.31509112 to three decimal places.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -42597497*u*z + 27*u + z - 665288 with respect to z.\nAnswer: -42597497*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1946704633?\nAnswer: 1861, 1046053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 130 divide 13780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + -25 + (7 - -5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j**2 + 3*j - 4. Let q(w) = 15*w - 710. Let s be q(47). Let d(v) = -4*v**2 + 6*v - 7. What is s*l(n) + 3*d(n)?\nAnswer: -2*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -273\/16 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7.729 - 0.729. Let z = -2 + 2.3. Sort 0, z, j.\nAnswer: 0, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1625602 - 11?\nAnswer: -1625613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) -0.1 (d) -2912140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1451858728 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*p**4 + 3*p**4 - 3*p**4 + (6*p + 3*p - 3*p)*(2*p**3 + 5*p**3 - 3*p**3) to the form h*p + y*p**4 + z*p**2 + m + w*p**3 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15314 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 46 - 43. Suppose -q*w + 0*w - 8 = -l, 4*w = -l + 29. Let k = -99 - -182. Calculate the remainder when k is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(-6)*n*n*n)\/((n*(n*n**(2\/11))\/n*n)\/n))**(-22))**(-40) assuming n is positive.\nAnswer: n**(-3680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from axlxuryu. Give prob of sequence ualx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -173\/1650 and -19\/462.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7.84247433 and 0.5.\nAnswer: -3.921237165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 17243.43 centuries?\nAnswer: 1724343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -1. Let v(q) = q - 4. Let h = -5 - -2. Calculate h*v(j) + 12*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06366 to three dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41439 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 54 - 35. Let i = x - 10. Solve -2*p + i = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -315*v - 4*t - 14 = -313*v, 0 = 5*t + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*w = -547*w + 94*w - 4730 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14846, -29428, -44014, -58604, -73198?\n\"Answer: -2*k**2 - 14576*k - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1458 or -1460?\nAnswer: -1460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1\/3)\/(7\/63). Let v be 2\/(g + -5) - -1. Solve m = -v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/(-720)*(-5)\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 220021478 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + y**3\/2 + 3186*y. What is q(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 f when four letters picked without replacement from oooffffoofoo?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 f, and 1 m when three letters picked without replacement from fmfumuummuucuuqff?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 1 = -4*o + 6, o = 4*j - 1. Suppose -s = -o*s. Suppose 6*v - 2*v - 16 = s. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2 or 911\/24?\nAnswer: 911\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is m in -2*m**3\/5 - 7634*m**2\/5 - 30512*m\/5 - 30504\/5 = 0?\nAnswer: -3813, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**4 + 25*n**3 - 6*n**2 - 16*n.\nAnswer: -n*(n - 8)*(n - 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5934949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-275)*-5)\/((-4)\/(-8))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 200\/120 - (39\/18 - (2 - 0)). What is the closest to 0 in 3, n, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5942 - 1485 - 1488 - 1489 - 1487 - 15*x.\nAnswer: -15*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 68\/5697 and 31\/51273?\nAnswer: 51273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 6494780160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 48261899 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 40\/(-24)*2\/15*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -11*o + 2*o**2 - 1 - o**2 - 13*o**3 + 12*o - o**3. Give b(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 5*n + 10 = 5*l, 3*l - 24 = -3*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = 3*n + 18, -5*n + 18 = -2*y + 45 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 11*t**2 - 6. Let v be c(3). Suppose -3*z - v = -2*q, -3*q + 57 + 81 = -4*z. What is the remainder when 10 is divided by (q\/(-7))\/(4\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - -11 - 11\/33*-9. Suppose 0 = 3*w - r - 2, -42 = -o - 3*w. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 19*a**2 + 23*a + 5. Let g(t) = 18*t**2 + 19*t + 5. Give -7*g(f) + 6*l(f).\nAnswer: -12*f**2 + 5*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 3 = -2*t. Let d be t + -3 + 16\/2. Let m be d\/9*3\/(-4). What is the second biggest value in 0.03, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -450*r + 9756 = -438*r. List the prime factors of r.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 20100221000 (base 3) to base 7\nAnswer: 1031256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 4*d = 276. Let t = -66 - d. Suppose 0 = -4*p - 16, -348 + 114 = -t*g - 3*p. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 4*j**2 + 321*j + 910. Calculate k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + 4*s**2 - 4*s + 9. Let p be j(-5). Solve 0 = -p*k + k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1*(-2)\/7 - 2803546\/(-406)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 364844359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -200 - -48133?\nAnswer: 47b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10487165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16.0743 + -16.1. Let q = h + -0.3023. Round q to 2 decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4206.2 * 6.\nAnswer: -25237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, -2, -413, -24 in decreasing order.\nAnswer: 3, -2, -3, -24, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1, 5, -5, -64, -3 in descending order.\nAnswer: 5, 2, 1, -3, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 46.65 + -46.35. Let r = -0.8 - -0.3. What is the smallest value in x, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 140693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 7 - 11. Suppose -9 = -3*g + i, t - 5*g + 22 = 0. Suppose 0*z = t*z. Solve z = 2*b + 5*j - 2, 8 = -4*b - j - 3*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, 5, -3877, -17, 0 in increasing order.\nAnswer: -3877, -17, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.281 + 4.281. Sort -2, 7\/3, u, 3 in descending order.\nAnswer: 3, 7\/3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 6233*c**2 + 3*c + 2. Let t be p(-1). Let u = -3144 + t. Suppose -2*b + w + 0*w - 6204 = 0, -3*w - u = b. Round b to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 3 + 2*l + l**3 - 5 - 3 + 6*l**2. Suppose 15*y = 7*y - 40. Calculate j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 9, g: 11}. Give prob of picking 3 f.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 2370*g**4 + 3*g**3 - 2368*g**4 - g**2 + 2*g**2 - 4*g**2 - 2*g in the form z*g**2 + c + a*g**3 + v*g + w*g**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 0*n + 15. Let f = 12 + -17. Let q = n - f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 x when three letters picked without replacement from {j: 1, s: 3, a: 2, h: 3, x: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.33 plus -7454.59778?\nAnswer: -7454.92778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (113\/((-2038520)\/(-176)))\/((-2)\/(-10))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 14358.68792 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 1 - -5) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4329 - 4276. What is the closest to 0.1 in 5\/6, 0.6, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*s**2 - 47*s**3 - 2290*s**5 - 93*s**2 + 2289*s**5 + 2*s + 8*s**2 wrt s.\nAnswer: -60*s**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 66760700 to the nearest integer?\nAnswer: 8171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*r + 3. Let w(a) = r - 4*a - 3 + 9*a. Let s(g) = -2*g**2. Calculate s(w(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -102 (base 3) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*a - 547 = -5027. What is the second derivative of a*i + 12*i**3 + 44*i**3 - 289*i + 1 wrt i?\nAnswer: 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1.276, 1, -2\/5 in decreasing order.\nAnswer: 1.276, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x - x + 0*x - 2*x + 0*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + h - 18 = 2*p, 2*p - 14 = 3*h. Suppose -4*g + p*o = -116, -3*g + 2*o = -2*o - 83. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/229 + 237\/916. Factor -1\/2 + 15\/4*f**2 - z*f - 19\/4*f**3 + 7\/4*f**4.\nAnswer: (f - 1)**3*(7*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2775\/6)\/5*(5 - 3). Let u = 826 - c. Is u 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 qgquuhhuuf. Give prob of picking 1 h, 1 f, and 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-63)\/(-4))\/(18\/96). Suppose 146 = 5*x - 3*l, 4*l + f = 3*x + l. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1314138 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 1859 divide 24341046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -141.19 - -141. Let u be 4\/(-70) - 493\/1785. Which is the closest to i? (a) u (b) -5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 15051 or 120419\/8?\nAnswer: 120419\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -17*a + 13*a, b + 4*a - 82 = 0. Is 93 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(56) + (sqrt(168)*2)\/sqrt(3) + (sqrt(56) - sqrt(616)\/(sqrt(44)\/sqrt(4)))))\/((sqrt(504)*1 - sqrt(56))\/sqrt(7)*3).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -5530 divided by 4?\nAnswer: -2765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13 + -4. Let j = 8.8 - f. What is the third biggest value in j, 0.4, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:15 AM and 12:27 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*s - 4905*s + 138313 + 109417 = -392470 for s.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 + l - 3. Let g be y(3). Let x be (4\/14)\/(g\/21). Which is the smallest value? (a) -0.4 (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 4*w - 2. Let s(i) = -3*i + 1. Let p(h) = 3*s(h) + 2*t(h). Let b(f) = -10*f - 6. Determine b(d) - 8*p(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide (-3)\/(-6)*44*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 150272?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x. Let i = -45 + 47. Let p(c) = -i + 1 + 2*c - 6*c. Determine 5*k(y) + p(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of i*m**3 - 5*i*m**2 - 2*i*m - 68*i + 15*m**3 + 177*m**2 - 26*m wrt m?\nAnswer: 6*i*m - 10*i + 90*m + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 7261954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 776 is divided by 381.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 397851*z - 397775*z = 4180 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 - 1238\/(-8) - 5. Let p = y + -148. What is w in -p*w - 1\/2 - 1\/4*w**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -368*t + 6 = -365*t. Solve -4*w - 3*q = w + 19, 4 = t*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6, e: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*s = -63, 2*s - 64 = 5*n - 387. What is the remainder when 111*(1\/3 + 2) is divided by n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/40 and 67\/1370?\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 252514166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 AM and 11:20 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -9. Let j be 0\/((3 - 4) + -2). Let o = 5920 - 5918. What is the nearest to 3 in o, j, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 370 = -290*a + 291*a. Let o = a - 102. Is o a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -1. Let t(l) = l**3 + 5*l**2 - l - 4. Let f = -3 + 2. Let b(s) = f*t(s) - c(s). Let k(i) = i**2 + 8*i + 2. Let g be k(-7). Calculate b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -472, -944, -1416, -1888?\n\"Answer: -472*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110334.\nAnswer: 2, 3, 7, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, 16 in ascending order.\nAnswer: 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0169 times 2.1?\nAnswer: -0.03549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 396*n + 20808 = -216*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(832))**2*1 - sqrt(13)).\nAnswer: -2*sqrt(13) + 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -194*v**3 + 255609*v**2 - 175260766.\nAnswer: -582*v**2 + 511218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 6864.12593 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 1185*s**2 + 24*s + 6. Determine w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-150))\/(3\/60*-8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 8:45 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vuvvauaaeeuvaaun. What is prob of sequence avae?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11328 and 11918?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3771006 divided by 3?\nAnswer: 1257002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48805876 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4*sqrt(252))**2 + -5.\nAnswer: 48*sqrt(7) + 4028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 1 - 1 = 0. Suppose 15*v - 2253 = 12*v. Suppose 2*p - 1483 - v = s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 7, n: 7}. Give prob of sequence ccc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.3 + 0.1. Suppose -34*r + 36*r - 6 = 0. What is the third smallest value in r, 1\/7, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -350*r - 271*r + 915*r - 288*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*i - 2*i. Suppose i = 3*p - 4*z - 32, 2*z + 18 = 5*p - 12. Let l(c) = -c**3 + 4*c**2 + 4. Let q be l(p). Solve 0*j + 12 = -q*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7171266.\nAnswer: 2, 3, 37, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 2 = -f + 4*h, -3*h + 38 = 5*f. Suppose f*x = 4*x + 3. Put x, 4, -1\/6 in ascending order.\nAnswer: -1\/6, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -1 + 1 - 603876*o + 604193*o. Let y(m) = 3*m**2. Calculate a(y(t)).\nAnswer: 951*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 37 - -19. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 AM and 7:17 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = 5*d. Suppose -4*o = d, -i - o + 3*o + 12 = 0. Let m(l) = 5*l - 77. Calculate the lowest common multiple of m(17) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -45.4 + 45. Which is the closest to -2\/11? (a) -1\/5 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - -6552?\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 564538521 to the power of 1\/2, to the nearest integer?\nAnswer: 23760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 124*l - 133*l - 4518. Which is smaller: l or -1504\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the first derivative of g**3 + 28*g**2 - 38*g - 37. List the prime factors of v(-24).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 - 35. Suppose -r + 5*r - 3*g - 31 = 0, 0 = 2*r - 3*g - 23. Suppose 0 = -r*k - 347 + 307. Is o <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -3664*j + 3656*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g + 4*h - 2958 = -3048, -h - 68 = 5*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -l + 6*l - 3*x, -35 = -3*l + x. Suppose 5*k - 18 = l. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 390105 divided by 78021\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 7147\/198 smaller than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4346557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 656 divide 61272368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 245 divide 121623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 54\/(-3)*(-1)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 52, 29, -3 in increasing order.\nAnswer: -3, 0, 29, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 40*o**3 - 70*o**3 + 386 + 37*o**3 - 15*o wrt o.\nAnswer: 21*o**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3509 + 1940 = 169*v - 635. Solve -v*n = -199 - 17 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor n**3 - 1980*n**2 + 1306800*n - 287496000.\nAnswer: (n - 660)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -5*z**2 + 53*z - 131. Give q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17586 + 123105\/7. Factor -z - 108\/7*p**2 + 36\/7*p.\nAnswer: -3*(6*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 48 - 68. What is the tens digit of (-790)\/(-8) - 1*5\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -24 - -34105?\nAnswer: 34041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 54912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**2 - y - 14. Let j = 244 - 240. Let h = -5 + 14. Suppose 0 = -h*s + j*s. What is b(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 206 divide 14803366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0.3, 3, 8\/9 in decreasing order.\nAnswer: 3, 8\/9, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -63 - -63. Let k(n) be the third derivative of 0*n**3 + 0*n**5 - n**2 + 0*n + g + 1\/40*n**6 - 1\/24*n**4. What is the second derivative of k(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244101 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17376 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 1)*(-2 - 2 + 3)*(-2 - 1 + 1)*(r**2 - r**2 + 19*r**4).\nAnswer: 76*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((5 + -1)\/4 - -1) + 2. Let v(k) = k + 2. Let d be v(0). Solve -b - 7 = -3*t, -d*t - 2*t + j = -4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 161542 (base 10) in base 6?\nAnswer: 3243514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6070 and 74890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/7 in 2574, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*t = 26364 + 20328. What are the prime factors of t?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 + r**2 - 19. Let w be y(0). Let p = w + 24. Solve 0 = -4*g + 3 + p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a + 10. Let t be j(6). Let l be (-1 - (6\/2)\/3) + 3. Sort t, -5, l in decreasing order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-25*(-24)\/1200)\/((-1)\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2 - 113527224*k + 1611053823643272.\nAnswer: 2*(k - 28381806)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2977, -3417, -3859, -4303?\nAnswer: -4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 26*b**2 - 125*b - 5. Let l(x) = -25*x**2 + 140*x + 6. Give -6*h(c) - 5*l(c).\nAnswer: -31*c**2 + 50*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -34 - -61. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*a = 34*a - 36. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, -1, -4, -3\/7.\nAnswer: -4, -1, -3\/7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p**3 - 2*p**2 + p. Let x(a) be the third derivative of a**6\/120 - a**5\/60 - a**3\/6 - 46*a**2 + a. Give 2*x(d) - z(d).\nAnswer: -d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 29 - 10. Let h(k) = -k**3 + 9*k**2 - 11*k + 7. Let u be h(6). Suppose u*l = 54*l + 5. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37*s + 37*s - 2*s**2 + (-150 - 120 + 47)*(s**2 + 2 - 2) to the form p*s**2 + n*s + j and give p.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 11:01 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*n**3 + 9738700*n**2 - 13784072.\nAnswer: 9*n**2 + 19477400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3390278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(-2\/9)*c\/c**(-1\/9)*(c**(-2\/3))**20 assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -11*p**4\/3 - 461485*p**3\/3 - 1006828*p**2\/3 - 167804*p\/3 = 0.\nAnswer: -41951, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 255269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1490670 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -155*j*q*s*w**2 + j*q*s*w + j*q*w**2 - 239*j*q*w - 2*s*w**2 with respect to s.\nAnswer: -155*j*q*w**2 + j*q*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/5)\/((-2)\/(-5)). Let x = 2 + -2. Suppose 5*i - f*i - 44 = x. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -730, -722, -714, -706, -698, -690?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 13 - 5 = 0. Let i(a) = 0*a**2 + 3*a - 7 - a**o - 10*a. Let h(z) = 43*z - 479. Let j be h(11). Calculate i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 5:31 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 463211, 925215, 1387219, 1849223, 2311227?\nAnswer: 2773231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 8*z + 16. Suppose 0 = -z*t - 2*o + 12, 0 = 4*o + o - 20. What is the least common multiple of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 48*b + 3. Let n be j(2). Let v = 42 + n. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes before 7:32 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 490310350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 1, v: 1, m: 4, t: 1, n: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 8 - 33)*(0*z - z - z) in the form p + o*z and give o.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 3*a - 4*a**4 + 195744*a**3 - 195744*a**3 - 4 - 4*a**2 to the form f + u*a**2 + m*a**3 + i*a + d*a**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-69118)\/8 + 2)\/(6\/(-16)). Let d(l) = -10*l + 23034 - q. Let c(g) = 12*g. Calculate c(d(w)).\nAnswer: -120*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-233*o**2 - 72*o**2 - 373*o**2)*(0*o**2 - 5*o**2 + 4*o**2 + (-o + 3*o + 0*o)*(o + 2 - 2)) to the form m*o**2 + d + q*o**4 + y*o + h*o**3 and give q.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2109*p - 1877*p + 1989*p + 2477*p.\nAnswer: 4698*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-27)\/(-90))\/(2\/(-10))*((-3328)\/(-48))\/2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 5)*(-5*j**3 + 5*j**3 + j**3) + (-j - 2*j**3 + j)*(3 + 3 + 2).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 887951.2mm?\nAnswer: 887951200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (53*x**2 - 53*x**2 - 58*x**3)*(-2*x**2 - x**2 + 2*x**2) + (-x**4 + 2*x**4 - 3*x**4)*(4*x - 3*x + x) + 2*x**2 - 2*x**2 + x**5 + 3 - 3 + x**5.\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -136.0516 rounded to zero dps?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4463294 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1563 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3133 or -4587?\nAnswer: -3133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -15800 rounded to the nearest 100?\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5261\/36 + -1751\/12. Let z = -12 - -18. Let t = z - 6.1. Which is the nearest to t? (a) -3 (b) p (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 25*u**2 - 6*u - 1. Let y(d) = 25*d**2 - 5*d - 1. Let j(f) = -4*h(f) + 5*y(f). Does 9 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -32366, -59659, -86958, -114263?\n\"Answer: -3*l**2 - 27284*l - 5079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8667722.\nAnswer: 2, 7, 17, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*u + 4*u + 4, -3*x - 5*u + 1432 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + 7008?\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -38 at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 3*w**2 + 4*w - 4. Let j be z(2). Let f = -4 + j. Suppose 3*a + f = 6*a. Solve -a*s + 9 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4618*i + 230 = 4595*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2608149355 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-10)\/(-25))\/(6\/(-5) + 1). What is the common denominator of 173\/(-69) + 2 - (1 + m) and 1\/33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1459536)\/33176 - (-5 + -39).\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2050 in 0.5, -14, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*z - 3*y, -11 = -2*z - 5*y + 12. Suppose 5 = n + 2*q, -n + 5*q + 10 = 4*n. Suppose -11 = -n*m + 4. Sort 0, z, -2, m in ascending order.\nAnswer: -2, 0, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 31*s**2 - 74*s - 62. Let m(z) = 19*z**2 - 38*z - 31. Determine -3*l(p) + 5*m(p).\nAnswer: 2*p**2 + 32*p + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3542 - -24796\/7. What is the closest to q in -6, 0, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 114 divide 2017230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -16316.84 to the nearest 100.\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3024*s + 4. Let w be o(4). Let j = w + -2855547\/236. Calculate the common denominator of j and -61\/2.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -1 + 4 - h - 2 - h. Let l(y) = y**2 + 5*y - 1. Let d be l(-6). Suppose -d*x - 3*u + 10 = 2*u, -2*x + 4 = -5*u. Give o(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence unnn when four letters picked without replacement from {u: 1, n: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -26*l**4 - l - 2*l**2 - l + 27*l**4 - 8 as b + v*l + m*l**4 + g*l**2 + p*l**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -4 + (sqrt(11) - (sqrt(11) + (-5 + 1*sqrt(11))**2)))*-4 - (sqrt(88)*1*-6 - sqrt(88))\/(5*sqrt(72)).\nAnswer: -593*sqrt(11)\/15 + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-4))\/(q*q\/(q*(q*q**(1\/3))\/q)))\/(q*(q\/q**(-5\/3))\/q*q**(-2\/9)) assuming q is positive.\nAnswer: q**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 + 3*c - 1. Is o(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*1*5*182\/(-5005)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 169 + -96. Let w = q - 73.00000204. What is w rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, n: 1, c: 1}. Give prob of picking 1 n and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 8951 + 260. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*t**3 + 2*t**3 + 2*t**3 + (3 - 1 - 4)*(0*t**2 - t**3 + 0*t**2) - 3*t**3 - 3*t**3 + 4*t**3 + (t**2 + 2*t**2 - 2*t**2)*(-t + 0*t - t) + 2*t**3 - 3 + 3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 100387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -0.11, 0.05, 0.2, 2, -0.3, 4\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 12547.59 months?\nAnswer: 10.456325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15004*q + 15008*q = 100. Solve 5*g - 30*v = -q*v + 15, v + 7 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 418 + -412. Let n(w) be the first derivative of 0*w + 0*w**2 + 0*w**4 + 0*w**5 + 2\/3*w**v + 4\/3*w**3 + 1. What is the third derivative of n(z) wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 884744.\nAnswer: 2, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 18.59969439 to four decimal places.\nAnswer: 18.5997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of 5*s**2 - 899. Let k(o) = -12*o - 2. Give g(k(p)).\nAnswer: -120*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 AM and 10:38 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -12568911, -12568918, -12568935, -12568968, -12569023, -12569106, -12569223, -12569380?\n\"Answer: -n**3 + n**2 - 3*n - 12568908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -5*t, -2 - 14 = -3*t - 5*j. Suppose -t*n + 285 = 3*n. Is 23 a factor of 1 - (1 + -1 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 45412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5327 divided by -7.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 775074 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-21)\/7)\/(1\/(-36) + 0) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.05196884 * 9\nAnswer: 0.46771956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3.58? (a) -2 (b) -13 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, -2, 432, 6, -4 in ascending order.\nAnswer: -5, -4, -2, 0, 6, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2*q - 19, 3*q = -g - 25 - 11. Calculate the common denominator of (19 + -20)*23\/q and -59\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 931.1167 grams?\nAnswer: 931116700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -301021, -300902, -300773, -300634?\nAnswer: -300485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyccjttyj. What is prob of sequence tjcy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(24)*-4)\/(-6*sqrt(12)*3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-190)\/(-50) - -1) + (4 - 8). Let x = -243 + 2675\/11. Which is the third biggest value? (a) -1\/24 (b) x (c) 0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -19*l**3 - 4*l**2 - 4*l - 4. Let a(h) = 118*h**3 + 30*h**2 - 9*h + 5*h**2 + 35 + 52*h**3 + 44*h. What is 4*a(v) + 35*d(v)?\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 4 - 1 - 0 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 145402\/21 + -6924. Which is the closest to -1? (a) n (b) 4\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -917 divided by 1358?\nAnswer: -131\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 90 = -2*q, 0*x + 4*q = -x + 33. Let t = -21 + x. Factor 2\/7*v**2 + t + 0*v.\nAnswer: 2*v**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of 39 - 7\/2*y**2 - 10*y + 1\/4*y**4 + 5\/3*y**3. Is 13 a factor of j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6772311*n**5 + 44*n**2 - 1153*n - 10 wrt n.\nAnswer: 406338660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4799, -2, 0, -1 in descending order.\nAnswer: 4799, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 + 23 = q. Suppose 3*w - 5*f = q - 6, -f + 13 = w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 0)\/(21 + -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 7:23 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 3207039459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 150 + -146. Suppose -4*k = -3*x - 5, -2*x + y = 3*k - 4. What is the highest common factor of k and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**4 + i**3 - i. Let v(t) = -13*t**4 - 91*t**3 + 1924*t**2 - 6713*t + 6400. Let d(a) = 4*v(a) + 28*z(a). Find r, given that d(r) = 0.\nAnswer: 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {w: 5, f: 4, k: 3, b: 5, c: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14217 and 90041?\nAnswer: 270123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, q: 1, k: 2, a: 1}. What is prob of picking 1 k and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(378)\/(sqrt(36)\/sqrt(4)))\/(sqrt(6) - (sqrt(6) - sqrt(12)\/(sqrt(32) - sqrt(2))) - sqrt(6)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6*2 + -3 + 5. Let d = 26 - f. Let n be (-6)\/(-1) + (10 - d). Solve -4*h - 5*c + 0*c = -20, -5*h + c = n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/g**(-4\/5))\/g)\/g**(2\/33))**(-1\/4) assuming g is positive.\nAnswer: g**(-61\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, v: 1, x: 3, n: 2, k: 5}. Give prob of sequence kk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4788887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1304673241 to the power of 1\/2, to the nearest integer?\nAnswer: 36120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - -1. Let b(u) = u**3 + u**3 - 3 - 2*u**2 - 3*u + 5*u. Is b(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2 (b) -2 (c) -6\/31 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 73 - -10. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -2*y**2 + 4*y - 6. Let o be z(-5). Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261 a factor of 562977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -260902\/3 or -86966?\nAnswer: -86966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 16 = 94. Suppose 6 = -2*h, -x = -0*x + h - 7. What is the greatest common factor of x and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 594, 606, 618, 630?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 17 = -2*o + 3*o, -16 = -4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 - m**2 + m + 7. Let j be c(0). Let i be ((-42)\/(-5))\/(15\/(-25) - -1). Calculate the highest common divisor of j and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jhhd. What is prob of picking 1 h and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 76771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 88 a factor of 236984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 797 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.5 in 0.6, -177, -2.99?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 379 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3733913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -161 - -163. Suppose u*x = 0, 5*l - 5*x = -3*x + 1675. What are the prime factors of l?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1100\/24*6\/870. Let p = 1\/58 + j. Let b = -0.36 + 0.06. What is the third biggest value in b, 3, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 - 28\/12)*(-3)\/2. Suppose -3 = -c*s + 27. Suppose 72 = 3*n - s. Calculate the highest common factor of n and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 1 = -1, -4*p = 3*w + 65. Let n = 27 + w. Let u be 2\/3 + n*(-186)\/(-72). Solve -u = 4*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1102424120 - 414?\nAnswer: -1102430034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 0*q + 45 = 5*j, 0 = -6*q - 30. Suppose 9*k = 11*k - j. Solve 0 = 2*t + k - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 3. Let i = t - -3. Suppose 5*y = 3*f, -f = -2*y - 3*f. Is y smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 7 + 5 + 23*v**2.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -654\/642739?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of d*x**2 + 14*d*x - 15*d + 23*x**5 wrt x?\nAnswer: 2*d + 460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.062 in 0.22, -0.24, 2\/9?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1 - 12)\/(22\/(-132))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-49184)\/(-64))\/53 - (-6)\/(-4). Calculate the greatest common factor of 15314 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/5)\/(5\/(-25)). Let j(a) = a**2 + 3*a + 2. Let p be j(g). What is the derivative of -2 + 2 + 4*q - p + 0*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 + 6. Let o = -2 - d. Suppose o = x + 2*f, -2*x + x + 3*f = -20. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43.4*-0.2.\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(7) + sqrt(7) + ((sqrt(77) - 1*sqrt(77))\/sqrt(11))**2 + (sqrt(14)\/sqrt(2))**2 + 3).\nAnswer: -10 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -204*g**3 - 179*g**3 + 380*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -0*l - 34. Let v = -13 - l. Solve -v*f + 3*f - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 148 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 6*30*(-4)\/144\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*p - d + 6, 5*d = -p + 7. Let a(i) = i**3 + 2*i**2 + 5*i**p + 6*i + 9 + 0. Is a(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-6*(sqrt(1125) - (sqrt(1125) + (sqrt(1125) - -2*3*sqrt(1125)))))\/(sqrt(108)\/sqrt(108) + -4*sqrt(225)))**2.\nAnswer: -5953500\/3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 2300*z - 1413*z + 4.\nAnswer: 887*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 785 - 791. Which is the third biggest value? (a) 0.1 (b) r (c) -2\/15 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 3 + 5)*(0*y - 2*y + y) + y - 4*y + 2*y)*(3 - 1 - 4)*(1 - 1 + 2)*(42*y**3 + 52*y**3 - 6*y**3).\nAnswer: 704*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*u + 217*u + 540*u - 16*u = 3360 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of l**4\/4 - 2*l**3 + 3*l**2 - 5*l - 33. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6417007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -12*z**2 - 151*z + 77*z + 82*z. Let u(r) = -2*r**2 + r. Let l(o) = 3*f(o) - 3*u(o). What is the second derivative of l(i) wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7a33 (base 12) in base 9?\nAnswer: 20553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-433)\/(-7794))\/(1\/6). Factor -i**2 + 1\/3*i**4 + 2\/3 + 1\/3*i - p*i**3.\nAnswer: (i - 2)*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d - 5*d - 101635 + 101620.\nAnswer: d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 + 5693*z - 220497. Give o(39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 + 4 + -4 - -6. Factor 0 - 2\/3*j**z + 2\/3*j.\nAnswer: -2*j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m\/(m*m**(-2\/23))))\/m)\/m**(-1\/40)*(m*m*m\/(m*((m**21*m)\/m)\/m))\/((m**14*m)\/m) assuming m is positive.\nAnswer: m**(-30417\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j**2 - 2*j**2 + 3*j**2)*(4*j - j - 2*j) - 2 - 1 + 0 - 2*j**3.\nAnswer: -5*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-23)\/15525*-45)\/(1\/1).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 21 - 21 - a in the form n*a + h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 141 = -5*u, h - 3*u = -7 - 40. Let w be (-1624)\/6*((-592)\/56 + 8). Let g = w - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1248483 + 2834764 = 17*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7713677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.2 + -1.3. Let t = 0.5 - 0.1. Let p = -0.03 + 0.73. What is the nearest to k in 3, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 13) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3331 + 6682. Suppose -485 + s = 2*g. Suppose -14*b + g - 131 = 0. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -2*(3 + sqrt(352)\/sqrt(200) - (-3*sqrt(704) + -2))**2.\nAnswer: -328773\/25 - 488*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -62651916*q**2 + 41*q - 32177.\nAnswer: -125303832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 7*q + 4*t + 12 = 0, 3*q + 5*t = 33. What is the third derivative of 5*g + 5*g**q + 4*g**2 - 5*g wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(153) + -1 + sqrt(153).\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 4*n - 5*n + 6, 5*n = 2*j + 2. Find the third derivative of 17*o**6 - 10*o**6 - o**2 + n*o**2 wrt o.\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.76 + 2.24. Which is the nearest to 5? (a) -1 (b) 0.2 (c) f (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.7 - 4.7. Let r = -8 - g. Put 3, 0.5, r in ascending order.\nAnswer: r, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 36 + -28. Suppose -r*d = -5*d - 21. What is the highest common factor of 77 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 10:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -6*i + 48. Is s(-14) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2215, 5831, 10847, 17263, 25079, 34295?\n\"Answer: 700*t**2 + 1516*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -243*f**3 + 901*f wrt f?\nAnswer: -1458*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 40.1 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 4*t = -5*t - 18. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14 - (2 + 1)) + 7 + -12 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 121.11 + -115.7. Let p = f - -0.59. Let s = 0 - -1. What is the nearest to 0 in s, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of 61\/2*x**2 - 27 - 59*x. What is the derivative of o(z) wrt z?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of p**4\/24 + 3*p**3 - 32*p**2. Let q be h(0). What is the highest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -43210, 0.1, -2\/15.\nAnswer: -43210, -2\/15, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-52894)\/2994 - 21\/9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 21*q**2. Let i(z) be the third derivative of z**4\/8 + 2*z**2 + 12*z. Determine c(i(j)).\nAnswer: 189*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3551127551 is divided by 896?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -86 and -1.3.\nAnswer: 111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-52)\/(-195))\/(6\/(-5)). Let h = 1112 - 1106. What is the closest to 1\/3 in -0.1, d, h, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 6*k**3 - 2*k**2 - 5*k + 4. Let q(x) = x**3 - x + 1. Suppose 4*l - 50 = 5*o - 5, 3*l = 2*o + 25. Let z be (-2)\/4 + 2\/(-4). Calculate l*q(p) + z*g(p).\nAnswer: -p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 487*z - 13943 - 1584 - 23131 = 108*z for z.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -67799, -67796, -67789, -67778, -67763?\nAnswer: -67744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -18*d**3 + 94*d**2 - 12*d - 22. Let t be x(5). Let r(n) = -n**2 + 13*n + 62. Give r(t).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvvovvo. What is prob of picking 4 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -2*r - 3*d, -r - 53 = -4*r + 2*d. Suppose 3*q + 42 = 2*y + 4*q, 5*q - 115 = -5*y. What is the greatest common divisor of y and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 28298632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2698031, 5396147, 8094271, 10792409, 13490567, 16188751?\n\"Answer: d**3 - 2*d**2 + 2698115*d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 32.318048 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1222478 = 81*v + 861652. What is v rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:59 AM and 3:52 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 367*c**2 + 22. Let t(v) = 183*v**2 + 9. What is -11*t(b) + 6*x(b)?\nAnswer: 189*b**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**2 - 13*c - 13. Calculate the remainder when r(-9) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fffr when four letters picked without replacement from fffrfssfvs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10*(16\/60)\/2*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 151 + -2312543?\nAnswer: -2312352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(363)*-2*-5 + -4 - (sqrt(363) - (sqrt(363) + 5*(1 + sqrt(363))) - (sqrt(363) + 1)*6))**2)*-3.\nAnswer: -480405 - 9702*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0654 and 80.\nAnswer: -5.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -11021 or -637?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:01 AM and 4:35 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9426, 8824, 7820, 6414, 4606, 2396?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -1\/2*m**2 + 137*m - 272 = 0.\nAnswer: 2, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*n**3 + 2966708*n - 2966708*n + 61*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 + 15*z**2 - 2*z + 33. Let c be g(15). Suppose 215 = 5*p + 5*q, -5*q = -c*p - 36 + 141. What is the least common multiple of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/20*150\/(-15) + (-6)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4892181901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00261148 to five decimal places.\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22 - -29. Let x = -199.4 - -229. Let z = x - 31.6. Which is the smallest value? (a) s (b) -2\/19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, j: 1, d: 1, x: 1, q: 3}. What is prob of picking 1 d, 1 x, 1 q, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, -3\/8, 3, 0.3, -24624223 in decreasing order.\nAnswer: 3, 2, 0.3, -3\/8, -5, -24624223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddv when three letters picked without replacement from {z: 2, d: 9, v: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 225, 886, 1987, 3528, 5509?\nAnswer: 7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 56119960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -32c - 19c3?\nAnswer: -1cef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 10*n**2 - 16*n + 11. Let t be -8*28\/20 + (-7)\/(-35). Let l(m) = -2*m**2 + 3*m - 2. What is t*l(h) - 2*i(h)?\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 + 17*l + 12. What is p(12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122138613 is divided by 422?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/7)\/((-3)\/42). Let x be (14\/s + -3)*8. Calculate the highest common factor of x and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26369971907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the second derivative of 10*r**2 + 35\/12*r**3 - 94*r - 5\/24*r**4 + 2. Suppose x(o) = 0. What is o?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-4 + 13 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5*-64.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - 10)*28\/(-126)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2101*c**2 - 878 wrt c.\nAnswer: -4202*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08021517304 + 12140.\nAnswer: 12140.08021517304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 a, and 1 r when three letters picked without replacement from rsrsmgrrsra?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-3\/7)\/z*z*z*z*z*z**4*z*z)\/(z**6*z**13) assuming z is positive.\nAnswer: z**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-84)\/(-16)*20\/(-25)*90\/(-27)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1.3*3035431\nAnswer: -3946060.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.7 + 0.4. Let w = 1518 + -1519. Which is the closest to w? (a) 0 (b) i (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3519428188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 70*q**3 + 101*q**3 - 57*q**3 - 4*q**3 + 5*q**3 + 0*q**3 + (2*q + 1 - 1)*(3 - 3 - q**2).\nAnswer: 113*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + v + 2*v = -7, 4*h - 11 = v. Let q(b) = b**2 - b + 1. Let c(l) = -4*l**3 + 2*l**2 - 2*l + 2. Determine h*q(z) - c(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*r**2 - 2*r**2 + r**2)*(2*r + 2*r - 5*r) + 4*r**3 - 6*r**3 + 4*r**3)*(-24 + 63 + 48).\nAnswer: 261*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 601780195?\nAnswer: 5, 17, 7079767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 94 + -91.84. Let g = -0.16 + z. Let n be 6\/2*-1 - 2. Which is the nearest to 1\/3? (a) n (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7420 + -7416. Let w be 3\/(-1)*1\/1. Which is the second smallest value? (a) q (b) w (c) -15.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8d3 + 9094?\nAnswer: 9987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 2*y**3 + 10*y**2 - 8*y - 9. Determine r(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (5 + 4*(sqrt(1100) + 0 + 2 - (-1 + sqrt(1100) + -1))*-6)*5)**2.\nAnswer: 207025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 28672796063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1\/7, -59, -0.07.\nAnswer: -59, -0.07, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 - 2. Let q be r(2). Let a be (-180)\/(-16) - q\/8. Let i be 2\/4*a\/(-63). What is the third biggest value in -0.1, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 - d - d - 4*d + 3*d + (2*d + d - d)*(5 - 1 - 2) + 2*d - 5*d + d + 9 + 3 - 2*d - 2.\nAnswer: -3*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -10*b**2 + 3*b - 2. What is j(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -12*d + 18. List the prime factors of q(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/6)\/((-132)\/(-330))*(-2205)\/525.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of -2967661014 and -0.28085.\nAnswer: -2967661014.28085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 10202?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 108 = 4*l, 5*k + 150 = 9*l - 4*l. Suppose 21*i = l*i - 7565. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + 402. Calculate the greatest common divisor of v and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 + k**2 + 1. Let g(t) = 8*t**3 + 6*t**2 + 2*t + 6. Let a = 34 + -33. What is a*g(c) - 6*x(c)?\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.8 - -2. Suppose 4*k = 3*l + 59, -2*k + 2 = -2*l + 6*l. Let n = 9 - k. What is the closest to -0.1 in n, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of 71*r**3\/6 + 3*r**2\/2 - 207898*r. Let j(t) = -2*t - t**2 + 2*t. Calculate u(j(q)).\nAnswer: -71*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z - 2. Let o be g(0). Let f be (-4)\/(-4) + (-6)\/o. Let s(d) = -d**2 + 4*d + 3. What is the units digit of s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + -1. Let k = 458 - 304. Let g = 150 - k. Sort 2\/5, u, -0.1, g in decreasing order.\nAnswer: 2\/5, u, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 3 and -205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-31*x - 13*x + 13*x)*(-4 + 1 + 4).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.09064 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20.5 - -58.45. Let p = y - 79. Sort 5, 1\/9, p in increasing order.\nAnswer: p, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -295 - -491. What is the third derivative of -8*k**4 - 206*k**2 - k + h*k**2 + k wrt k?\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.5 and -2339.\nAnswer: -2339.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -223 - -1338?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -940, -944, -950, -958, -968?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -3*q**4 - 771*q**3 - 41490*q**2 + 223896*q - 181632 = 0.\nAnswer: -176, -86, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 3:59 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(32))**2)*-6.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 887793 is divided by 6207?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 3*o**2 + 28*o + 85. Let p be v(-7). Solve -29*s = -p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 300*r = 303*r - 15. Let k(b) = b**3 + b**2 + 2*b + 2. Let v be k(5). Suppose f + 4*f - v = -2*n, 0 = -5*n + r*f + 440. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1507310925678 + -0.074.\nAnswer: -1507310925678.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -15 (b) -0.07 (c) 3615 (d) -23 (e) -0.3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 9 = -6. Let j = -226 + 228. Let s be j*((-900)\/5)\/m. Calculate the highest common factor of 108 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -110221 (base 5) to base 14\nAnswer: -1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -25312, 5, 3, -51, -30.\nAnswer: -25312, -51, -30, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from impiwmm. What is prob of picking 1 m and 2 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47131.\nAnswer: 7, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 5*u**2 - 29*u - 2. Let x(a) = a**2 + a - 1. Determine w(n) - 4*x(n).\nAnswer: n**2 - 33*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 6421727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*d - 27 + 1. Let v(a) be the second derivative of 0*a**2 + 0 - d*a - 1\/3*a**3 - 1\/6*a**4. Find the second derivative of v(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 6*d**2 + 969*d - 16398. Let q(r) = -r**2 - 194*r + 3279. Let v(z) = -4*j(z) - 21*q(z). Find l, given that v(l) = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2873)\/(-119))\/13*(-3)\/36*-14?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**2 - 18*o + 23. Suppose 4*z - s = -91 - 6, 3*z + 2*s = -81. What are the prime factors of u(z)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2446936 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-770)\/(-105))\/(70\/6 - (-15 - -27)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 14 + -13 + (1 + -3 - -16) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-5)\/105*618*(-7)\/20 and 47\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 5*y - 30. Suppose -4*u + 61 = -130*j + 125*j, -u + 34 = -5*j. Calculate f(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -42 - -19. Let s = -23 - d. Suppose -3*r + s*p = -3*p, -4*r = -5*p + 4. Let j(y) = -3*y + 5. Give j(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, s: 1, m: 2, a: 1, h: 1}. What is prob of sequence mab?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (74*h**3 - 74*h**3 - h**4)*((-3 + 2 - 1)*(0*h - 2*h + 0*h) - 2*h - h + 4*h + 2*h + 2*h - 3*h + 2*h - 1 + 1).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -2290024 by -2.\nAnswer: 1145012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 3*y + 2*d - 32, -4 = d. Let r be (130\/130)\/(3 + (-23)\/8). What is the greatest common divisor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence es when two letters picked without replacement from eeueusues.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 131*w**2 + 3920 - 11742 + 3910 + 3899.\nAnswer: 131*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2949455355951 from -60.\nAnswer: -59.7050544644049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3599036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 11:32 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be (9 + 1)\/((-2)\/(-43)). Suppose -3*w - 2*a + q = -3*a, 4*w - 5*a - 272 = 0. Suppose -44 - w = -3*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 583 times 626.4\nAnswer: 365191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3 - 0)*-1*16\/6. What is the remainder when 3*(1 - b\/(-4))*-16 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 - 1 = -3*s. Let c = -22 - s. Calculate the remainder when c*(130\/(-4))\/5 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4598, -18, -22 in ascending order.\nAnswer: -22, -18, 4598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 4*m + 2*y - 46 = 0, 4*m - 51 = -3*y. Suppose 0 = -3*t - 2*t - 20. Let a = m + t. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - w = 35, g - 47*w + 51 = -52*w. Let a be (-4 + 2)\/(-2) - 1. Solve -f + g*f - 9 = a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -29 - 37 + 987*f + 57. Let i be n(4). Suppose -293 + i = 2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -619*o**2 - 4*o - 3. Let b be y(-1). Let m be (-4)\/34 + b\/(-51). What is the least common multiple of 8 and (4\/m)\/(1\/18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1116*f + 1114*f + 2*b = -20, 5*b + 10 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 - 44 + 16 - 6*z - 134 - 110.\nAnswer: -6*z - 301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 729 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (0 + sqrt(176))**2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-7)*u*u)\/u**8*u**(-2)\/u**(-2\/9) assuming u is positive.\nAnswer: u**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.944 + 2.944. Which is the closest to -1\/2? (a) y (b) 1\/9 (c) -1\/6 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -m - 10, -2 = a - 0. Suppose m = -2*l - l + 9. Solve l*v - 5 = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12529471379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 425 and 71944?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*b**3 + 15494*b - 15494*b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 258 and 444.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (206*j**2 + 7*j**4 + 1044*j**2 - 2129*j**2)*(-2*j + 4*j - 4*j).\nAnswer: -14*j**5 + 1758*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000196269 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 735.6872 decades in years?\nAnswer: 7356.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d - 2*d + 0*d + (-1 + 1 - 2)*(2*d + 5 - 5) + 5*d - d - 5*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 23 = -5*w, -2*w + 4*w - 14 = 4*j. Factor 2\/5*c**w + 0 + 0*c**2 - 2\/5*c.\nAnswer: 2*c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -4*p**2 + 62*p - 172. Determine n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**4 - 5*y - 7. Let c(j) = 2*j**4 + 7*j + 11. Let n(a) = 5*c(a) + 7*h(a). What is the first derivative of n(q) wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 768 - 640. What is the lowest common multiple of 28 and d?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-126555)\/150)\/(-11) + 6\/20. Calculate the greatest common divisor of o and 726.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t + 5. Let u be g(5). Suppose -3*f = -u*f - 18. Find the third derivative of b**2 + 3*b**2 + 2*b**f - 3*b**2 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 3\/4*b - 1\/2 - 1\/4*b**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20826*k + 6021*k + 14813*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, -4, -5, 217, -21 in increasing order.\nAnswer: -21, -5, -4, -1, 1, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o - 1. Let h be f(2). Let t = 29 + -25. Suppose 0*i - t*i = 0. Solve y + i*y + h = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29160 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -777.6 - -778. Which is the nearest to -0.21? (a) w (b) -0.5 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238\/6*(63963\/721)\/207?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 27 = 5*g + 2*m, -3*g + 3*m = -27. Let y = 5 + -1. Solve 3*q = -y*v + 2*v - g, 4*q - 9 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + 8*o. Suppose 13*a - 9*a = o. Let u be (2\/3)\/(15\/(-9)). Which is greater: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 3*k**2 + 4*k - 4. Suppose 0 = 2*r - 1 - 7. Let v be l(r). Is 3 a factor of 5 + -5 - 1*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of 8*h**3\/3 + 3*h + 163. Let f(o) = 104*o**2 + 40. Let r = 638 - 598. Calculate r*v(n) - 3*f(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of -31*r**4\/24 - r**3\/3 + r**2 + 10*r. Let m(u) = 2*u**2. Calculate z(m(c)).\nAnswer: -62*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 19*t - 10*t. Suppose 2*o - 2*b - 10 = 4, -t*o = 5*b + 7. What is the remainder when 21 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/3424911 and -11\/806.\nAnswer: 89047686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*v + 24 - 8. Which is the second biggest value? (a) -3.4 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -1 - (1 + -7)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 57 by -21.\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/(-12)*(-24)\/40.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 215 + -169. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + -2 - (2 + 0). Let w = 12 - 12.3. Let x = -0.1 - -0.3. What is the nearest to 1 in x, w, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z = -5*a - 4, -4*a + 6 = -2*z + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, c: 3, s: 1, a: 4, f: 4}. Give prob of sequence scs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19 + -23. What is the closest to 0 in 0.02, 1, f?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 24 = 11. Suppose -j = -30 - p. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/5))**10\/((x\/(x*x**(2\/15)*x))\/x**(1\/10)) assuming x is positive.\nAnswer: x**(157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -4. Suppose -65*r + 66*r = 86. Suppose r = 2*i + 92. What is the closest to l in -5\/6, -1, i?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1378022 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 24, -1152?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -11005430 (base 6) to base 3.\nAnswer: -121122201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + j - 3*r = 27, 9 = 3*r. Let m = j - 10. What is the smallest common multiple of 1 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 11) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lrvjvtv. What is prob of sequence rvt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-28)\/(-6))\/1 + (6 - 11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 3*s**2 - 9*s + 2. Let v(p) = 3*p**2 - 8*p + 3. Let x(g) = -3*h(g) + 2*v(g). What is the second derivative of x(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 17, a: 3}. Give prob of picking 1 a and 1 i.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1056725 and 7864?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-11)\/s)\/(s**(-2\/35)*s)*(s*s\/(s\/(s*s**(7\/4))))\/s**1 assuming s is positive.\nAnswer: s**(-1427\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4193962 is divided by 69899.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 2*x = -0*q + 3, 0 = -3*x + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21 - 33*h - 21.\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b**16*b))\/b*b**(-2\/11)\/b*(b\/(b\/b**(-39)))\/b**(1\/19) assuming b is positive.\nAnswer: b**(-11962\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -7. Suppose s = q - 85, 4*s = s - 6. Suppose -2*a + q = 13. What is the highest common factor of a and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 + -47. Let j = n - -24. Put -0.2, -0.5, j in increasing order.\nAnswer: -0.5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/760 + 10536\/31008.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 3*a**2 + 4*a + 1. Let j be b(-4). Let q = -164\/5 + j. What is the second smallest value in 3\/4, 3, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -46\/89 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in 5, -36, -230?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*i + i + i)*(-2*i**3 - 340 - 622797*i**2 - 30 + 622793*i**2) as j*i**4 + l*i**3 + v*i + w + h*i**2 and give v.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-30)\/21 + 2 + 8\/(672\/1158732). Round f to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 6*z**3 + 71*z**2 - 13*z - 7. Let m be x(-12). Solve 4*a - 25 = -m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28575 - -5518. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -312 + 2a?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -25\/3, -3, 2\/29, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, 2\/29, -3, -25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 2.2 (b) 1\/3 (c) 198\/5 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (98289 - 98289 - 430*a**2)*(-2*a**3 + a**3 + 0*a**3).\nAnswer: 430*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xem. What is prob of picking 1 x and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3255, -3310, -3413, -3564?\nAnswer: -3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000056018 to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9927418 is divided by 7923.\nAnswer: 7822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 428*q**2. Let r(i) = 2*i**2 - 4*i - 4. Let n(a) = -3*a**2 + 5*a + 5. Let p(k) = -4*n(k) - 5*r(k). Give s(p(x)).\nAnswer: 1712*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 15\/5 - (0 - -3). Suppose 2*u - 4*r - 74 = -m*u, 0 = -u - r + 31. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -368 * -0.5.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, r: 5, y: 1, j: 4}. What is prob of sequence ry?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 24 + -22. Differentiate -4*a**c - 20 + 0*a**2 + 27 with respect to a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*z**3 + 0*z**3 + 3*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2543 - -5137. Suppose -z = -4*n + 3*z + 10304, 5*z - v = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16\/59465967 or -1?\nAnswer: -16\/59465967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 11*n**3 - 22*n**2*r + n*r - 2391*n + 24373979*r wrt n?\nAnswer: 33*n**2 - 44*n*r + r - 2391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2288 and 4268186.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/(-5))\/((-1029)\/35 + 29). Solve -4*w - p*z - 12 = 0, -5*w + 21 = -10*w - 4*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7333500 to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.04 from 0.047.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express b**2 - 12 + 12 - 2*b as o*b + l + u*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-9) - -1)\/(((-3784)\/(-12))\/43).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqqqqqooqqqqqqqoqoo. What is prob of picking 2 q and 1 o?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -4 (b) 29 (c) -1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -3*x - 18, 0 = x + 4*i - 122 + 128 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = d + 2. Let z = d - -9. Let w = 0 + z. Let b(y) = y**3 + y**2 + 3*y + 3. Calculate b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rkr when three letters picked without replacement from rrkrrrrrrrrrrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -896 + 1317. List the prime factors of m.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(132)*3)\/((-2*sqrt(144))\/sqrt(12) + sqrt(12)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 - -19. Suppose 5*m - 10 = 0, o - 22 = -o + g*m. Is (-35)\/o*(-102)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3680 and 240.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 2*t + 893 = 5*d, 1771 = 2*d + t. What is the derivative of -6*k - 784 + 8*k - 18*k + d - 27*k wrt k?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5244 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 - 10*l**2 + 9*l + 5. Suppose -g = -3*g - 5*x + 28, -4*g + 4*x + 28 = 0. Let w be a(g). Solve -2*p = -3*t + t - 4, t - 2*p = -w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of -h**4\/6 + h**3\/6 - 380*h**2. Give m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (10 + -4 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 3 y when four letters picked without replacement from {v: 4, f: 4, y: 11}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 162830039.\nAnswer: 89, 1829551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*d + 16*d - 8*d = 39*d + 1000 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - 3)\/((-10)\/(-75)). Let j = d + 13. Sort 0, -5, j in ascending order.\nAnswer: -5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -17.3 + 28.5. Let j = g - 7.7. Is j bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6367551?\nAnswer: 3, 823, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -5*y - 72. Let i be l(-17). Suppose i*b - 80 - 76 = 0. Calculate the least common multiple of b and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34425 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10\/7? (a) -4\/19 (b) 4 (c) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-2) - 319\/(-2). Suppose -5*z - 5*c + 120 = 0, -5*z - 5*c = -z - 100. Calculate the highest common divisor of z and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55.833 + 0.167. Let j = s + -56. What is the fourth biggest value in 2\/17, -1\/2, -1\/11, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*q - 20, 3*x - 44*q + 24 = -41*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 46965.429 hours?\nAnswer: 279.556125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**0*x*x\/(x\/x**(2\/9))*x*x)\/(x**(-1\/2)*x)**(-21) assuming x is positive.\nAnswer: x**(265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1881370 <= 1881371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.2 + -0.1. Let v = -11 - 385. Let x = v - -395.6. Which is the second biggest value? (a) x (b) l (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -69\/4, -3, 0.8.\nAnswer: -69\/4, -3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 25*f**2 - 3*f + 104. Give o(25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 23719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (1 + sqrt(192) + -1*sqrt(192) - sqrt(192))**2)*-2.\nAnswer: -378 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 - 11*l**2 + 11*l + 11. Let q = -18 - -29. Suppose -2*f + 14556 = 14552. Let t(u) = 2*u**2 - 2*u - 2. Determine f*y(d) + q*t(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 3*p - 12731 - 1911 = 0, -p = -4*g + 29270. Let o be (-20)\/30 + g\/6. Let i = 709 - o. Round i to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 20*b**4 + 21676760*b**3 + 21676745*b**2 + 5419185*b = 0. What is b?\nAnswer: -1083837, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 - d + 1. Let q(y) = -6*y**2 + 21*y + 2. Let o = 86 - 85. Let w(a) = o*q(a) - 2*i(a). Find the second derivative of w(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + l - 5. Let k be ((-1)\/(-4))\/((-15)\/(-600)). Suppose 5*z = -t - k, 2 = -3*t - 2*z - 2. Calculate d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -53 and 45784.12?\nAnswer: -2426558.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 11022 (base 4) in base 15?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -41 - -43. Let y be 12\/12*(v - 1). Which is bigger: y or 3\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 + -12. Let s(o) = -3 - o + 0*o**x + 7 + o**2. Does 8 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-9)*o*o**(-8)\/o*o)\/(o\/(o**1*o))**(-36\/5) assuming o is positive.\nAnswer: o**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 1 - 1)*(3 + 2 - 3)*((-5*u + 0*u + 0*u)*(3 - 3 - 4) + 2*u - u + 6*u) to the form k + w*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 - (-3)\/(4 - 1). Is 9 a factor of ((-7)\/w)\/(11\/154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(12\/(-24)*-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -11228, 2, 3, -6, 4 in ascending order.\nAnswer: -11228, -6, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3 - 25390*s**2 + 10136195*s + 20373990.\nAnswer: 5*(s - 4641)*(s - 439)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 476*p + 485*p + 496*p = 21*p + 372*p. Suppose m + 3*j = 5*m + 3, 0 = 2*j - 2. Suppose -4*q = -4 - m. Solve -v + q + p = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 14, 7, -28, -103, -230, -421, -688?\n\"Answer: -2*w**3 - 2*w**2 + 13*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n**(-2\/15)))\/(n*n\/((n*(n\/((n\/n**(1\/4))\/n))\/n)\/n*n)))\/(n**3*(n\/(n*n**(-5)*n))\/n*n*n) assuming n is positive.\nAnswer: n**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/112 and -95\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 - 2*j - 8. Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34050 = 2*f - 4*u, -2*f + 14939 = 5*u - 19138. What are the prime factors of f?\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/3*(-45)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18562 + 18562. Solve 5*l - 5 = -d*l, -7 = -2*c + 3*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 * 115832308\nAnswer: 347496924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1840\/(-1610) + (2 - (-48)\/(-154))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -270, -537, -804, -1071, -1338?\n\"Answer: -267*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (17 - 16) + -2*1\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-18 - -10) + 5 - (-11 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-15)*100*(4\/16)\/((-1)\/(-2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w + 5. Let q be 1\/(-1)*(-36)\/(-6). Let b be s(q). Suppose 0*h = h - 2. What is the nearest to -0.2 in 0, b, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 1.7, 5, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 104 = -b, 4*q = 5*b + 130 - 6. Suppose 9*h - q = 12*h. Sort -4, -5, h in ascending order.\nAnswer: h, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 668 and 2505.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 5*j - 1272 - 1348 = 0, 0 = -o + 3*j + 504. Let s = -308 + o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6723 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -20*p**3 - 8921*p**2 + 342*p - 27013 wrt p?\nAnswer: -120*p - 17842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1522 (base 8) to base 13.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -33666*q**2\/7 - 67330*q\/7 + 4\/7.\nAnswer: -2*(q + 2)*(16833*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -8 (b) 0.1 (c) 0.224 (d) 0 (e) 4 (f) -3 (g) -5\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 5*m - 11339 = -3112, 5*m = 3*h - 8207. Is (-5)\/(-25) - h\/(-5) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/3019? (a) -16\/7 (b) -1.5 (c) 0.2 (d) -0.2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 - 6*t**2 - 5*t - 4. Let d be c(7). Factor -9*o - o**3 + d*o**3 - 3*o**2 + 3 + 0.\nAnswer: 3*(o - 1)*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -8, -25, -64, -131?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 2*y**4 + 1803*y**3 + 488*y + 1800*y**3 - 3601*y**3 as h*y**4 + l*y**3 + i*y + o + f*y**2 and give i.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1118 is divided by 312.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000087617 to 7 decimal places.\nAnswer: -0.0000876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10\/(-3) + (-539350)\/(-21).\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4786913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 116.99865 + -117. Round p to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -281 - 104 = -5*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -381*k**4 + k**3 - 962*k wrt k.\nAnswer: -4572*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1001, 2848, 4691, 6530, 8365, 10196, 12023?\n\"Answer: -2*d**2 + 1853*d - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -15*q**3\/4 + 68*q**2 - 79*q\/4 - 89\/2 = 0.\nAnswer: -2\/3, 1, 89\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 10758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 50*f**2*p**4 - 99*f**2 + 2*f*p**3 + f wrt p?\nAnswer: 200*f**2*p**3 + 6*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -468\/11 greater than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5202\/(-510) + (-4)\/5. Let o(j) = 2*j + 3. Let h(f) = -1 + 1 + 1 + 2*f - f. What is r*h(z) + 4*o(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14 + 4 + 29*a - 15*a - 15*a to the form q*a + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 16451*y**3 + y + 16445*y**3 - 6 + (1 - 3 + 1)*(-2*y + 2*y + y**3).\nAnswer: -7*y**3 + y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -4*g. Let r be (g + 0)\/(5 + -7). Let b(z) = 3*z + r*z - z - 3*z. Let s(v) = v**2. Give s(b(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1148635\/33 or 34807?\nAnswer: 1148635\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*w**3 - 9*w**3 - 99*w**2 + 10*w**2 + (-4*w + 3*w + 4*w)*(-w**2 + w**2 + 2*w**2).\nAnswer: 5*w**3 - 89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -972 divided by -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 736390.4 to the nearest 10000.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -199418806 or -199418807?\nAnswer: -199418807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 18 + 314 = 0. Let n = -589\/4 + m. Let u = -18 + 18.1. Put u, n, -2 in descending order.\nAnswer: n, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 290086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 6*w - 9*w**2 + 8*w + 13 - w**3 - 5*w - 14. Let v be j(-10). Suppose -18 = -3*i + v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 24.9028 - 24.552043. Let t = 4705 + -4705.351. Let r = k + t. What is r rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5680*z = -5621*z - 1652 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5569\/27048 - 1\/552. Let u = v - 3\/49. Sort 5, u, -0.1 in decreasing order.\nAnswer: 5, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (7 - 10)\/((-6)\/(-4)). What is the tens digit of ((-3)\/q)\/(3\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21 and 1296?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 91\/(-1) - (-19586 + 19477).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -923238 divided by 307746\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**35\/r*r)**(-2\/23)*r**(-25\/6)\/(r\/(r\/(r**(-19\/4)\/r))) assuming r is positive.\nAnswer: r**(-403\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -6.1. Which is the second biggest value? (a) 71 (b) u (c) 1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(3\/2)*x*x)\/x*x*x*x**(-1\/4)*(x*x\/(x*x**(-1\/3)))\/x*x**(6\/11))\/((x**(-2\/5)*x)\/x*x**(-1\/8)\/x*x**(-6\/7)*x**(1\/3)\/x) assuming x is positive.\nAnswer: x**(25187\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -55, -89, -129, -175, -227, -285?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of 251*a**5\/15 + 5*a**4\/8 - 7*a**3\/2 + 2*a**2 - 25*a. Find the second derivative of r(v) wrt v.\nAnswer: 2008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1240\/24)\/(1\/36000). What is h rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01452819172 to five decimal places.\nAnswer: 0.01453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 118857526*y**2 + 210100221 wrt y.\nAnswer: 237715052*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -r**4\/4 + 2*r**3 - 2*r**2 - 2*r + 1. Let t be q(5). Suppose -2*s - 6 + 10 = 0. Solve s*d - 10 = -t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69624 divided by -17406.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 230 and 373442950?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(8\/3)\/o)**(-23\/3)\/(o**(-2\/57))**(-8) assuming o is positive.\nAnswer: o**(-2233\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9478229 to the nearest integer?\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4000 - -4000. Sort -4, 1, q, 39 in decreasing order.\nAnswer: 39, 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(-8)*2*2. Let z = -7 + 12. Suppose -z*a + 68 + 37 = 0. Calculate the greatest common divisor of a and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1131*t - 192*t = -7512 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-5) + 2\/(-5). Suppose 0 = -3*q + 9 - k. Let g(b) = b**3 - 2*b**2 - 4*b + 3. Let h be g(q). Is h greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -39 = 20*q + 120 - 39 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/51646 and -41\/16366?\nAnswer: 8624882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in -1\/3, 4, 0.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/(-24))\/((-2)\/(-152828)). Let u = -6351 + l. What is the common denominator of u and -89\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 1931.83 - -18456.96529.\nAnswer: 20388.79529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - a + 62 + 262, 4*c - 2*a - 312 = 0. What is the smallest common multiple of c and 2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2\/2 - 4132*u + 288015\/2.\nAnswer: (u - 8229)*(u - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9579 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 10, w: 6, a: 4}. What is prob of picking 3 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1774 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 389 + 3147. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-7)*(z*z*(z**(2\/19)\/z)\/z)\/z*((z*z**(-25))\/z)\/(z\/(z\/z**(-16)*z)*z) assuming z is positive.\nAnswer: z**(-321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20 > -29200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4, -0.09, 3\/7, -2\/19, -2\/7 in ascending order.\nAnswer: -2\/7, -1\/4, -2\/19, -0.09, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -t + 5*v - 16, 5*v - 19 = 4*t. Let x be 1 + (-1 - t) + 3. Solve w + x - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - c + 35 = -14, -2*c + 28 = -3*i. Does 10 divide (-40)\/(-14)*(-35)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14824587.\nAnswer: 3, 71, 79, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 49 (base 11) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 - 36*y**2 - 102*y + 4798. Determine g(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*h - 13*h + h**2 + 3 - 4 - 263*h**4 + 265*h**4 to the form d*h**2 + c*h**4 + y*h**3 + b + r*h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -225.06 - -225. Which is the closest to -1\/2? (a) 5 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = x - 9, 6*x + 7 = x + 3*n. Sort -8, x, 4 in increasing order.\nAnswer: -8, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*g - 126 = -118 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 70*t + 99. Is x(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(40)\/(sqrt(8)*-3) + -5 + 0.\nAnswer: -1 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3737816, -8 in decreasing order.\nAnswer: 4, -8, -3737816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 0)*(0*o + 2*o**2 + 0*o) - 4*o**2 - 9 + 2*o**2 + 10.\nAnswer: -4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 40798 - 9198. Round f to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -4*t**3 - 21*t**2 + 5*t + 47. What is i(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -19384709, -19384710, -19384711, -19384712?\n\"Answer: -g - 19384708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a - 7. Let w be q(-5). Let s be ((-1)\/w)\/((-2)\/(-24)). Suppose l - 1 = s. Solve 0 = -l*r + 3*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 9*d - 52. Give a(19).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 4*s - 8. Suppose -5*u - 31 = 4*o, -3*u + s*o = o + 5. Let x(l) = -3344 + 3348 - 10*l + 9*l. What is x(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**3 - c**2 + c - 17. Calculate w(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 54, 48, 44, 42, 42, 44?\n\"Answer: g**2 - 9*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of -60 + 0*b + 0*b**2 + 1\/3*b**3. Let u(a) = -18*a**2. Calculate u(t(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1754742?\nAnswer: 2, 3, 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1522*w**2 + 1852*w**2 - 2*w**3 - 122*w**4 + 29*w**4 - 2 - 359*w**2 - 2591*w**4 wrt w?\nAnswer: -64416*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7454803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 239, 957, 2153, 3827, 5979, 8609?\n\"Answer: 239*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -465.7049 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*s**3 + 52*s**3 - 172*s**3 + 2556*s - 5126*s + 2570*s + 54*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r - 5. Suppose -h + 9 = 4*h - 2*w, -h + 2*w = 3. Suppose 0 = 2*y + 4*l + 12, 3*y - 18 = -0*y + h*l. Let n be 3\/(y + 3\/(-2)). Calculate i(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of -14*v**6\/15 - 211*v**2\/2 + 134*v. What is the first derivative of m(o) wrt o?\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.02 and 441.\nAnswer: 441.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 88 and 20044508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 445 + 1343 + 2088 = 70*q + 32*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (32 - 15 - 12)) + 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-5 - (-14 + 9 - -9)) + 5 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence siip when four letters picked without replacement from {i: 2, n: 3, p: 2, g: 2, b: 1, s: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112520 is divided by 72?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(88)*1)\/(sqrt(32)*5) + -2 + (-2 + sqrt(275))*-3.\nAnswer: -72*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.6719 * 35920.\nAnswer: -24134.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4209\/2 - -2104. Sort -4, 1\/10, -0.4, s in ascending order.\nAnswer: -4, s, -0.4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of -r**3\/6 + 9*r. Let z(g) = -6*g. What is 15*y(v) - 3*z(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*f**2 + 0 + 498\/5*f.\nAnswer: -2*f*(f - 249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80249797 is divided by 26749932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*2*(sqrt(11) + sqrt(1100) + -1 + -4))**2 + -1.\nAnswer: -1760*sqrt(11) + 21695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of -w**7\/1470 + w**6\/20 - 48*w**5\/35 + 1411*w**4\/84 - 1445*w**3\/14 - 27*w**2 + 3*w - 9. Solve o(f) = 0.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 935 is divided by 467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 689270389 a multiple of 4592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 57, 113, 169, 225, 281, 337?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 2 + 2)*(-4*w - 2 + 2) + (-2 + 2 + 2)*(0*w - 3*w + 2*w) to the form u*w + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 2*h + 24 = 0, 2*v + h - 3 - 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4513.502 - 4504. Let q = o + 0.198. Let d = q + -9. Put d, 3\/5, 1 in descending order.\nAnswer: 1, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, t: 5, j: 1, h: 2, c: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.8 and 0.13119.\nAnswer: 0.93119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 AM and 7:42 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 - 2\/(-4)*2. Let h(l) be the first derivative of -5*l**2\/2 + l - 3636. Let x(b) = b. Determine j*h(k) - 9*x(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bzc when three letters picked without replacement from bbzcjj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -7*s - 1. Calculate the least common multiple of f(-3) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -164, -1342, -4548, -10796, -21100, -36474?\nAnswer: -57932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*k - 57*k - 23 = r, 0 = 3*r + 4*k + 69. Let m = r + 23. Is -1\/292 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of -7*w**4\/12 - w**3\/3 - 2*w**2 + 6*w. Let j = -18 + 35. Let v(d) = -20*d**2 - 6*d - 11. What is j*x(t) - 6*v(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 + 8. Let d = z - 2. What is the closest to d in 1\/7, -4, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {k: 2, s: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 421*h - 15. What is the units digit of a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 862462 is divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (15 + 3)*(-2)\/(-6). Suppose -3*x + f = -x. Solve 2 - 11 = -x*b, 4*p + 5*b = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 116 = 2*i + 87, 44 = 5*s - 3*i for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)*-2)\/sqrt(8) - (4*sqrt(11) + 0)**2.\nAnswer: -176 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(833) - (4 + sqrt(833) + 1 + sqrt(833)) - (1 + sqrt(833) + -1)) + (-1 + sqrt(833) + -2)*-3)**2.\nAnswer: -280*sqrt(17) + 20841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-1*sqrt(68) + -5*-2*sqrt(68))\/((sqrt(16) - 1*sqrt(1600))*-6))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 0*u + 3*u**2 + 3\/2*u**4 + 9\/2*u**3.\nAnswer: 3*u**2*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*k - 28*k - 28*k + 85*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 + 4*q**2 - 9*q + 4. Let j be k(-5). Solve 3381*v - 2997*v + 4*v**4 - v**4 - 768 - j*v**3 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4206469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 40927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1923 - 1918. Solve f = -4*f - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1748728*g**2*i**3 + 5*g**2*i - 2*g**2 + 5271*g*i**3 + 2*g*i + 42*i**3 + 4*i + 1 wrt g?\nAnswer: -3497456*i**3 + 10*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.132 + -217.868. Let d = -216 - x. Which is the second smallest value? (a) 4 (b) 37\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 313772417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3048*o**2 + 13*o - 14. Is 10 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -5*h**4 + 36*h**3 + 26*h**2 - 85*h + 61. Let i(n) = n**4 - 7*n**3 - 5*n**2 + 17*n - 12. Let z(c) = 11*i(c) + 2*m(c). Factor z(x).\nAnswer: (x - 5)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/32 and -47\/148766872.\nAnswer: 595067488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do 731 and 731 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2 - 6 = 0. Suppose -1 = 5*v - 11. Suppose f*g - 13 = -j + g, -4*j = -v*g - 40. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12.07 + 12. Let o = d - -0.07. Sort 5, 2\/5, o.\nAnswer: o, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gggq when four letters picked without replacement from qgqgqqggqgqg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1260 is divided by 421.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert efd4 (base 16) to base 2.\nAnswer: 1110111111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of -25*k**6\/8 - 177*k**5\/4 - 1011*k**4\/8 - 101*k**3 - 27*k**2 - 1767. Suppose d(g) = 0. Calculate g.\nAnswer: -9, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*c = 37*c + 16. Suppose c*u - 52 - 84 = -3*y, -4*u + 136 = 2*y. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1797861*z**3 - 684694 wrt z?\nAnswer: -5393583*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/63 + 6\/14. Let w = -4 + 3.4. Let q = -0.1 - w. What is the second biggest value in -3\/7, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -12800 + 6\/4 + 3\/(-2). What is b rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3777541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -h + 5*h. Suppose -5*a + 2*a + 15 = -3*y, -4*y - 8 = h. Differentiate -31 + 23 - 29*m**2 + a*m**2 wrt m.\nAnswer: -52*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**2\/3 + 890*v\/3 + 25584 = 0. What is v?\nAnswer: -328, -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.02 + 0.13. Let w = j - 0.173. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 606543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 90045\/6264 - (-6)\/(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r**3 - 16*r**3 - 31*r**3.\nAnswer: -47*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*w - 16 = 12*w. Suppose w*z + 3*c = 15, z - 1 = -2*c + 4*c. Factor -s + 1\/2*s**2 + 1\/2*s**z + 0.\nAnswer: s*(s - 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -219*n**3 - 49*n**2 + 221*n**3 - 6 - 9*n**2 in the form z + c*n**3 + o*n**2 + m*n and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.26 (b) 2 (c) -0.1766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(5 + -2 + sqrt(304)))**2.\nAnswer: 864*sqrt(19) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of t**3\/3 - 3*t**2 - 22*t + 25. List the prime factors of u(-10).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2059*720\/4176*1\/(-5)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -207.99 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2169.7357 - -2170. What is x rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 295*q - 1240*q - 995*q + 11*q - 110*q as s*q + o and give s.\nAnswer: -2039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 27 - 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (60\/(-105))\/(8\/(-84)) + (0 - 1). Let h(y) be the third derivative of 1\/120*y**q + 0*y + 15*y**2 - 1\/3*y**3 + 0*y**4 + 0. Suppose h(t) = 0. What is t?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003737 rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4184966769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d + 6. Let w be y(-21). Suppose 3*q + 32*r = w*r + 724, 4*q + r - 971 = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201101210 + 211?\nAnswer: -201100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -122 (base 4) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14039 is divided by 501?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add 6012.28642 and 0.2.\nAnswer: 6012.48642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3144597*d**4 - 4041491.\nAnswer: 12578388*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7963254 seconds in hours?\nAnswer: 0.0002212015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 349636173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -19, 7 in increasing order.\nAnswer: -19, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -114 - -56. Let l be d\/(-3) - 24\/18. Suppose -720 = -0*n - 5*n. Calculate the highest common divisor of n and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of j**4\/3 - 5*j**3\/6 + 5*j**2. List the prime factors of x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, 1, -0.2, -5509, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -157, -586, -1333, -2422, -3877, -5722?\n\"Answer: -4*d**3 - 135*d**2 + 4*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2737*r + 2718*r = -798. What is the remainder when r is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 186 and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -34*r**3 - 15*r**2 - 265*r + 37. Is 309 a factor of j(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -112486\nAnswer: 1\/56243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18 and 993609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s - 19. Let n(b) = 2 - 5 + 9 - 3 - 1. Let l(i) = -22*n(i) - 2*x(i). Give l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -39*w**3 - 2*w - 1. Is m(-1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 94?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 5 (c) -1 (d) 24154 (e) 1\/5 (f) -0.1 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 PM and 5:50 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*m**6 + 2*m**4*s - 120*m**3*s + m**3 - 3*m**2*s - 1994*m*s - 2 wrt m.\nAnswer: 1560*m**3 + 48*m*s - 720*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -520*q**6 + 1388*q**2.\nAnswer: -62400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 + 10*a + 10. Give t(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/8 in -40, -3, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -49 + 48.78. Let f = y - -3.22. Let v = 8 - 14. Sort f, v, 0.2.\nAnswer: v, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.221 in 0.8, -4, 3\/17, -0.3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1759 at most as big as -9090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of 69\/2*v**2 - 2*v + 259\/3*v**3 - 285. What is the second derivative of i(y) wrt y?\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13330.2 - 13349. Sort -1\/14, m, -1\/3 in descending order.\nAnswer: -1\/14, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (45\/10)\/(3\/2). What is the tens digit of (-3)\/(l - 0)*-86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -74 and -28?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the second derivative of -d**4\/54 - 38*d**3\/27 - 361*d**2\/9 + 3*d. Factor o(s).\nAnswer: -2*(s + 19)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of 0*r**2 + 0*r**4 + r**5 + 0*r - 5\/3*r**3 + 8. Find the third derivative of p(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 9*k**2 + 18*k**2 + 15*k**2 - 33 + 15*k**2 - 9*k**2 - 33*k. Suppose -p - 30 = -6*p. Let h(w) = -3*w**2 + 2*w + 2. What is p*x(t) + 99*h(t)?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.7 - 0.1. Let b = -1.4 - l. Suppose -6*k + 4 = -5*k, 8 = 3*a + 2*k. What is the nearest to -1\/4 in b, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 2:33 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -1752*k - 287. What is the hundreds digit of d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 70524, 70477, 70394, 70275, 70120?\nAnswer: 69929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/81 - 77\/162. Let x = 0.03 + -3.03. What is the closest to -1 in -2, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 110 + (20 - 2) + (-15 - -17) + -13?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5 and 3595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 32*w + 11 - 26.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/4, -3\/2, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 319379, 319176, 318973, 318770?\nAnswer: 318567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 444 and 18426.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -42 in 3\/4, -0.04, 1, -45, 2\/23?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 119, 213, 329, 467?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from {x: 1, a: 1, c: 5, q: 1, i: 7}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -369920\/11*n - 2\/11*n**5 - 142\/11*n**4 - 982600\/11 - 3974\/11*n**3 - 54706\/11*n**2 = 0. Calculate n.\nAnswer: -17, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -692 - -691.448. Let o = -0.592 - u. Which is the second biggest value? (a) 0.4 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17980.\nAnswer: 2, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j + 1. Let d be n(3). Suppose 4*s - 2*v - 14 = -3*v, v + 22 = 5*s. Solve d*z = 3*z - s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 4*u - 2*u + h, 0 = 3*u + 2*h + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 712 - -227454?\nAnswer: 228166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = 4*g - 3, -15 = g - 2*g + 4*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 20.9 in -4, 0.3, -14, -20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14 and 462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 5780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 2)*((-o - o + 13*o)*(-3 - 1 + 2) + (-2*o + 0*o + o)*(3 + 3 - 4)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16\/15 - -47\/30. Sort p, 1\/8, 2\/87 in decreasing order.\nAnswer: p, 1\/8, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + 4 = -a, 0 = -134*f + 132*f - 2*a + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -362, -721, -1080, -1439, -1798?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/2*(-3)\/(-6). Let u(w) = -w**3 - 8*w**2 - 6*w + 12. Suppose y + 3*a + 0 = -10, y - 2*a + 5 = 0. Let z be u(y). Do z and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 408*z**2 + 406*z**2 - 816*z**2 + 2 - z**4 - 3*z to the form d*z + m*z**4 + t*z**3 + v*z**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 174 and 1479.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33 and 7035?\nAnswer: 77385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 75.2 bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 465 + -444. Suppose 3*m = 5*z - 37, z + 5*m + 36 = o. Solve 2*n - b - 11 = 2*b, 0 = z*n + b - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 44046.187 to the nearest one hundred.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4205 + 4202. Which is the third biggest value? (a) w (b) 0.01 (c) -0.1 (d) 0 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -4*s - 47. Let b(n) = 2*n + 19. Let f(p) = 5*b(p) + 2*l(p). Give f(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1411341906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 4, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of r**6\/840 - 13*r**5\/140 + 169*r**4\/56 - r**3 - 20*r + 74. Let n(m) be the third derivative of d(m). What is z in n(z) = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third root of 73786512 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 103*g**3 + 3422*g**2 + 763*g + 102. What is p(-33)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 122*c**2 + 3502*c + 276. What is z(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -572*h**3 - 3*h**2 - 5*h - 4. Calculate s(-1).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 35444 (base 6) in base 8?\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/6)\/p)\/p)\/p*p*p*p**16*p*p\/p**12*p*p*p**(-14) assuming p is positive.\nAnswer: p**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.02 + -0.28. Let p = 21 + -21.13. Let j = p + 5.13. Which is the second smallest value? (a) t (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4 + (18\/5)\/(58\/145). Suppose 5*r = 5*t + 140, 4*r - 137 = 5*t + 2*r. Sort a, -2, t in descending order.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1182383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 925647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 940 - 1019. Which is the second biggest value? (a) -1 (b) j (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -901196101*l - 1050915281?\nAnswer: -901196101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 PM and 6:12 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 243227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14632487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -1\/5, -1, 3 in increasing order.\nAnswer: -10, -1, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**4 + d**3 + d**4 - 2 + 5*d**4 - 3*d**4 to r*d**2 + i*d**3 + v*d**4 + h + o*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 30593037023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*t**2 + t**2 + t**2 + (4*t - 30*t - 47*t)*(-5*t - 2 + 2))*(4*t - 3*t + 2*t) to the form k*t**2 + c + m*t**3 + w*t and give m.\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 243 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 38*z - 198. Let r be v(-22). Let c be (-3)\/(1*(-3)\/3). Suppose -c*a - 22 = -4*a. Calculate the highest common divisor of r and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 537232 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: What is the common denominator of -43\/16780794 and 125\/33561588?\nAnswer: 33561588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1406432789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 j when three letters picked without replacement from {j: 2, i: 1, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*b**2*j + 467*b**2 - 34004*b*j + 42*b + 4*j - 3 wrt j?\nAnswer: 2*b**2 - 34004*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 502222 - 337477. Let j be (-2)\/9 - l\/(-1782). Let o = j + -690\/11. Find the common denominator of -47\/2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n - 525 - 75 = 0. What is the third derivative of -n*x**5 + 81*x**5 + 180*x**5 + 55*x**2 + 106*x**2 wrt x?\nAnswer: 11160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3106 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -22550 times 1780\nAnswer: -40139000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 671*u - 20812. What is y(31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/3 - 90\/27. Let z(l) = -4 + 0*l - 3*l + 2*l. Let y be z(a). Put 1, y, -1\/2 in decreasing order.\nAnswer: 1, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2*i - 6 = 0, 3*d - i = -2*i - 3. Let p(w) = d + 13*w + 8 - 14*w. Calculate the remainder when 3 is divided by p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, 3\/77, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.02 - -0.12. Let w(m) = 3*m**3 + 6*m**2 - m - 7. Let z be w(-4). Let v = 399\/4 + z. Is v <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7680451651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000303 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 76*f - 81*f = -36, -3*f + 24 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -3*t - 6*x + 9*x, -20 = -4*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 2*z + 38, -4*l + 44 = -0*l - 4*z. Let g = l - 6. Suppose -4*j + 3*q + 63 = 0, 3*q = -g*j - 0*q + 33. Solve -3*h + j = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8027 - 8022. Solve s - q = -l, -s = 5*s - q + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.197892636 to two dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -193329826 divided by -38?\nAnswer: 5087627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/88 and -19\/7748.\nAnswer: 170456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-1)\/((-1)\/(-1)))\/((-1258102)\/29954 + 42) is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151*p = 1407 - 48. Which is the smallest value? (a) 28 (b) p (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -101 + -476?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 15135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(6*sqrt(84)*-1)\/((sqrt(72) - (sqrt(72) - sqrt(72)*-2 - sqrt(72)) - sqrt(72))\/sqrt(6)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -300.07122 and 5.\nAnswer: -1500.3561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 298*r**3 - 13*r**2 - 19*r + 6. Let q = -58 - -75. Let w be v(q). What is w rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.652 + 0.028. Let z = -0.18 + v. What is the fourth biggest value in z, -4, -0.3, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*m + 57 - 135 = -30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 38 - (66 + -9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2631 = 10*w - 3929. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = -i. Let k = i + 9. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f - 9. Let n be l(4). Suppose -5*r - 720 = -2*r. What is the smallest common multiple of ((-4)\/(-12))\/(n\/r) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/134828 and -73\/74.\nAnswer: 134828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1222211230 (base 4) to base 6\nAnswer: 13205124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -13*r**3 - 2*r**2 + 1570*r + 1572. What is b(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*x - 3*x - 3*t = -10, x - 2*t = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-6) - (-111)\/9. Let y be (-16 + n)\/(1 + -35). What is the nearest to 0.1 in 3\/7, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -222058481 and 0.3?\nAnswer: -66617544.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4197*o**4 + o**3 + 2*o**2 - 66*o - 438?\nAnswer: 100728*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -b**2 + 36*b - 9*b**3 + 8*b**3 - 45*b + 3*b**2 + 17 as w + x*b**3 + v*b**2 + f*b and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**2 + 19*c + 69. Let o be -14 - (-16 + -6)\/22. What is s(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/7, 3\/7, -0.0696, -0.4, 1\/4, -25, -4\/5?\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 209*m**3 - 29*m**2 - 2 + 2*m**4 + 17*m**2 + 6*m - 208*m**3 + 14*m**2 to the form k*m + c*m**4 + p*m**2 + f + u*m**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 684.804 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -9\/3718, -1.3, -2, 0.2.\nAnswer: -2, -1.3, -9\/3718, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6980016301?\nAnswer: 19, 641, 573119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 176\/55*(-5)\/(-2). What is the third derivative of c*m**5 + 6*m**2 - 13*m**2 + 11*m**2 wrt m?\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*k + 9*k - 13*k - 8*k - 30*k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.27 - -6.67. Let a = h + -5.77. Let u = a - 0.629998. Round u to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 + 9*w - 12. Let i be h(8). Let t be 0\/((-3)\/6*-2). Let a(y) = t*y + 5*y - y - 2*y. Let x(d) = -d. Give i*a(z) - 9*x(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(-1))\/((24\/(-54))\/(12\/(-54))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17834, 35826, 54222, 73262, 93186, 114234?\nAnswer: 136646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 195267658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5\/3, 0.12, 1, 0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -281495 - -460806. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-10) - (-16424396)\/(-10). Let h = y - -762440. What is h rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 77977\/31202 + 14\/15601. Factor 5\/2*y**3 + 5\/6*y**4 - i*y + 10\/3 - 25\/6*y**2.\nAnswer: 5*(y - 1)**2*(y + 1)*(y + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert -2014041344 (base 5) to base 11.\nAnswer: -2316584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1370 + 1339. Suppose -5 = -w + 4. Let o = w - f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -20955 from -0.03297458.\nAnswer: 20954.96702542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 4*z + 52525 = 0, -855*s + 856*s - 5*z - 17559 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32 + 0 + 183 + -185.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4.04 + 0.04. Let z = u - -7.3. Let g = z - 0.3. Which is the closest to -0.1? (a) -0.5 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 1 - 3 + 0 + u. Let x = 5 + -1. What is the remainder when 5 is divided by w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 341\/574 or 1?\nAnswer: 341\/574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -678*r = -585 - 771. Suppose 176 = -0*l + 2*l - 4*b, 3*l = -5*b + 297. What is the second biggest value in -5, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 7*t**2 + t - 3. Let f be z(6). Let n be 6\/f - (-8)\/44. Solve -y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 39\/(-1170)*(-4)\/1. What is the third biggest value in j, -0.18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1093 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.14? (a) -202876 (b) 17 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1019 = -6*q + 983 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rjjrrr. Give prob of picking 2 r and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 3*z. Let t be j(1). Suppose 3*i - 2*p + 6 = 13, t*p = 4*i - 10. Let w = 7 - i. Solve -w = y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3589 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 90360 is divided by 2053.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 35 at most -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 + 1)*106\/212. Solve 5*a = f*k - 14, 2*a + 16 = -2*a + 4*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + -1 - (-361 + 357)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 132870.6l in millilitres?\nAnswer: 132870600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19280475 and 28575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence skb when three letters picked without replacement from {e: 4, z: 5, k: 3, b: 3, u: 1, s: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/3 + (-16)\/(-6). Suppose 5*u = -f + 30, 2*u + 3*f - 24 = 1. Suppose -5*d = u - 20. Is a greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 236181975852 - -1.7.\nAnswer: 236181975853.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -388 = -30*f - 139 + 141 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + 30 + 50 = 16*n, -n + 113*a - 108*a + 3 = -2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 2*r - 40, -3*r + 4*p + 66 = 2*r. Let d(j) = -5*j - 10. Let n be d(-8). What is the highest common factor of n and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 + 13)\/(3\/15) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 19*w**2 - 20*w + 3. Let h be l(20). Suppose 0*z - h*z = 12. Let b(s) = -2*s**2 + s - 1. Let g(c) = -4*c**2 + 2*c - 2. What is z*g(o) + 7*b(o)?\nAnswer: 2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v. Let t(q) = -1 - q + 1. Let u(k) = 2*k**2 - 42*k - 47. Let f be u(22). Let a(b) = f*x(b) + 4*t(b). Let s(o) = -5*o**2. Give s(a(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.9 and 3.31.\nAnswer: 2.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -345506 or -345472?\nAnswer: -345472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -38159*s**3 + 5*s**2. Let h = -47 + 42. Let g be k(h). Round g to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -367 or -366?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:53 PM and 5:08 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 8 - 4 - 2)*(17*h**2 - 78*h + 78*h).\nAnswer: 119*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1348256?\nAnswer: 2, 7, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a + 13. Let v be j(-8). Let l(c) = c**2 + 6*c + 7. Let w be l(-5). Suppose 2*s = v*n + 28 + 45, 3*n + 63 = w*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 115265728.8 to the nearest 1000000.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 288*f + 11*f**2 - 46*f**3 - 286*f + 1 - 11*f**2 as u + l*f + t*f**3 + s*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**3 + 13*k**2 - 2*k + 14. Let v be i(-13). Suppose -l + 2*u + 50 = -v, -2*l - 5*u + 153 = 0. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in h**3 + 71 + 13*h - 13*h.\nAnswer: h**3 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6867?\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be -10*((-2)\/(-4) + -2). Let i be 4*s\/(-2 + 5). Suppose -2*w + 3*b = 5 - i, 3*b = -5*w + 6. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**1)**(-39))**(1\/5)\/(((p\/((p*p\/(((p**(2\/17)\/p)\/p)\/p))\/p))\/p**(-1\/3))\/(p\/(p**1\/p*p))**(-33\/2)) assuming p is positive.\nAnswer: p**(-1339\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1839, -1794, -1689, -1494, -1179?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3512 - -7596. List the prime factors of x.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1446936 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 - 2 = -8*y. Let o be ((-2)\/y)\/(5\/3780*7). What is the highest common divisor of 162 and o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 13\/26*2*1. Let b be (0\/u)\/(-1) - 3. Let q(d) = 8*d**2 + 8*d + 2. What is the tens digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.9966 + 0.22501. Let g = 2.77 + w. What is g rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w - 3. Let v be g(7). Let a(x) = -x + 4. Let l be a(v). Solve -1\/3*d + l - 1\/3*d**2 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 6059, 12058, 17967, 23780, 29491?\n\"Answer: -d**3 - 39*d**2 + 6123*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 + -23. Let y(u) = 8*u - u**2 + 2*u + 4*u - 9. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1082*c - 1043?\nAnswer: 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146 = 3*t + 32. What is the remainder when t is divided by (31 + -28)\/((-81)\/(-13) + -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 23 - (504 + -486)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -206 - -212. Let x be (-2451)\/430 - n\/(-1). Sort 0.1, x, 0 in decreasing order.\nAnswer: x, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 + 5. Let j = 1268 + -1165.8. Let x = 101.8 - j. What is the nearest to w in 5, x, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 334 = 12*h + 46. What is the greatest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/5*200\/5. Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 4*x + x - 53 + x - 3*x.\nAnswer: -5*x - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 23 + 17 = 0. Let o be 1\/(1\/3) - (-80)\/b. Suppose 0 = 10*k - 17 - o. Solve 4*f = 3*t + 16, -20 = -5*f + k*t - t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6799 - 84*f**3 + 6799 - 90*f**3.\nAnswer: -174*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {g: 4, d: 4, v: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 228 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -228, -23, 340, 879, 1612, 2557, 3732?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*b**3 - 2163*b**2 - 11828*b + 8844.\nAnswer: (b + 6)*(3*b - 737)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 55 (base 14) to base 8\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in -7.6, 0.5, -2?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -315 = -8*a + a. Let v(k) = k**2 + 101*k - 23. Is v(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 139, 199, 261, 325?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 9.152, 160, -3\/4?\nAnswer: 9.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {m: 1, l: 1, z: 2, s: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/204 and -173\/1790100.\nAnswer: 1790100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 902875 and 18640.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - d = 38, 0 = -3*j - 5*d - 5 - 9. Is j\/14 - (-31555)\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -13197, -12995, -12587, -11871, -10745, -9107, -6855?\n\"Answer: 17*l**3 + l**2 + 80*l - 13295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36965*t**3 - 39733*t**3 + 114615*t**3 + 97200*t**3.\nAnswer: 135117*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 52 - 30. Let m be (2 - 40\/d) + 4\/(-22). Let u(c) = -c**3 + 6. What is u(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 26 - 42. Let t = 19 + r. Find the second derivative of 22*k**2 + 6*k + 3*k**t - 22*k**2 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.317107049 rounded to three dps?\nAnswer: -3.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7\/28)\/(1\/4). Let g(b) = 7*b**3 - 2*b**2 + 2*b - 1. Let v be g(a). Suppose i + 210 = v*i. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 + 6*y**2 - y - 4. Let j be q(-6). Suppose -4*a + 4 = 5*m, j*a + 24 = 5*m + a. Let w(c) = c**3 - 5*c**2 + 4*c - 1. Calculate w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000710574271 to 6 decimal places.\nAnswer: 0.000711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 6584055 by 3.\nAnswer: 2194685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*g + 1976429 = 13*g + 4*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2771889, 2771884, 2771875, 2771862?\n\"Answer: -2*o**2 + o + 2771890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2927550*n + 7. Let y(m) = m. What is y(f(w))?\nAnswer: -2927550*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 3:14 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -97 + 143. Let x = k + -45.9. Which is the closest to 2\/5? (a) -2\/3 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49, 41, 27, 7, -19?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 14089\/(-8) - (-38)\/19. Let z = -6993\/4 - r. Which is greater: z or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from cfncciakfaaakka?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1961424368 or -1961424369?\nAnswer: -1961424368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 106*t**2 + 1590*t - 2. Determine g(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z\/(z*z*z**1*z))\/z)*z)**(-12\/11)*z**3*z**(-7) assuming z is positive.\nAnswer: z**(-116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1025183391.\nAnswer: 3, 14821, 23057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -11821.\nAnswer: -3546.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 7 + 33 = 0. Let t = a - -8. Suppose 24 = 3*i - t. Solve 2*z + i = 2*b, -4*b + 5*z + 16 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 21, 69, 167, 327, 561, 881?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.08 and 0.081.\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*q*r*y**3 - 61786*q*r*y**2 - q*y**3 - 3*r*y**3 - 2*r*y - 13472*r with respect to q.\nAnswer: 3*r*y**3 - 61786*r*y**2 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8533648*n**4 - n**2 - 187999382*n wrt n?\nAnswer: 102403776*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 3*o + 12. Let u = -1.708 + 1.308. Put o, u, 5 in decreasing order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9706963nm in kilometers?\nAnswer: 0.0000000000009706963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is m in m**4 + 19100*m**3 + 91221598*m**2 + 182385900*m + 91183401 = 0?\nAnswer: -9549, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 - (-24)\/(3 - 0). Suppose 2*y = -4*h + 12, 3 = 3*y - y - w*h. Which is bigger: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 786456125 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**3 - 27*x**2 - 132*x + 160 = 0. What is x?\nAnswer: -20, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uiiuuuuuuu. What is prob of sequence uuiu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -2714280 to the nearest 10000.\nAnswer: -2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22.3 - 21.61. Let p = t - -44. Which is smaller: p or 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6 - 3)*(-1)\/(-9). Let w be 10*(6\/4 + -1). Suppose -5*m = w - 0. Is m at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g**2 - 2*g**2 - 3*g**2)*(-3*g + 6*g - g)*(-46 - 51 + 98).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes before 11:08 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 15 + 3302?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(26)\/(sqrt(32)*1 - sqrt(2)) + 2 + (sqrt(468) + 1)*-4*3.\nAnswer: -215*sqrt(13)\/3 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 377771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -29, -46, -65, -86?\n\"Answer: -y**2 - 14*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 60 = 3*b, -4*d + 3*b = 8*b - 60. Solve -40 + 6 - 45*c + 9 + d - 35*c**2 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/18)\/((-131)\/1179).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2818180700 to the power of 1\/2, to the nearest integer?\nAnswer: 53087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 + 0. Let u = k + -2.9. Let h be 1 + (-8)\/(-10) + -1. Which is the closest to 0.1? (a) u (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/1960 and -117\/980?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1172 a factor of 35081343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11 + -9. Suppose -3*z - n = -113, -r*z + 0*n + 57 = -3*n. Let l = -21 + z. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the third derivative of -h**5\/30 + 25*h**2. Let r(w) = -65*w**2. Determine z(r(s)).\nAnswer: -8450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes after 10:29 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -729053.3 rounded to the nearest one hundred?\nAnswer: -729100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - -1. Suppose 6 = -0*i + t*i. Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -12) + 12 + -28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1267 - 521. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 14.7*-125870\nAnswer: -1850289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1599545 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -144.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s*s\/(s\/s**(-7))*s*s)*s)*s)**(-2\/9) assuming s is positive.\nAnswer: s**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 20228885 divided by 4?\nAnswer: 20228885\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(320)*-1)**2.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = -5*r + 4*r + 5*m, 2*m = 2*r - 18. Let k be 3\/9 + (-5)\/(-3). Let j be (0\/(-2))\/(-1 + k). Solve 3*v - r = 4*b, -b - b + 4*v - 12 = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, h: 4, w: 13}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00036122 to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -23.2522114 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/9*q**3 + 0 + 0*q + 2\/9*q**2 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-2*sqrt(720)*-4 - (((-4*sqrt(10))\/sqrt(2))**2 + (sqrt(15)\/(-2*sqrt(3)) - sqrt(5))**2).\nAnswer: -576*sqrt(5) - 365\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*s - 26*r + 26 = -5*s, 0 = 2*s + 2*s - 2*r + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5131250398 and -0.394?\nAnswer: 5131250398.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -i + 10, -23 + 24 = -5*i + 2*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 122222002112211 (base 3) to base 10\nAnswer: 9548113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 s when three letters picked without replacement from sfbjjsjfbjjbf.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*g**3 - 929 + 929.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the second derivative of -x**6\/30 + x**5\/20 + 2567*x**4\/12 + x**3 + 93*x**2 - 36*x - 10. Find the second derivative of t(d) wrt d.\nAnswer: -12*d**2 + 6*d + 5134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1213*h + 753 + 2449*h**2 - 753 + 480*h**2 wrt h.\nAnswer: 5858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppggggpgggjpjpgg. What is prob of sequence ggpj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 91024527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 3*m - 18 = 0, 4*m + m + 20 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-427)\/42 + (-5)\/6 + (37 - 37)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from zmznniiqt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5090152559 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 4:45 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 175015 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 + -1.3. Let o = -9.4 - -8.4. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 180340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 411*p + 415*p - 825*p. Let y(w) = 6*w - 2. Give f(y(t)).\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -25*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 7*z + 3*z**2 - z - 3*z + 1 + 0 - 6*z**3. Calculate the remainder when k(-2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-13 - 1)*(2 + (-36)\/8). Suppose w*z = 36*z. Suppose z = -3*k + 6, -4*g + 7*g = -4*k + 416. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 216 + 586 = 0. Let j = b - -79. Solve 5*i = -j*y, -3*i + 4 = 3*y - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 + 2*o + 2. Let r = -15 + 8. Let v = r + 10. Let l be 2\/((v - 2)\/(-1)). Give f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -31.339 - -286.349. Let r = w + -257. Let l = 0.01 - r. Which is the closest to l? (a) 0.1 (b) 3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**3 - 2*a**4 + a**3 - 2*a**4 + 3*a**4 + 0*a**4 + (2*a - 3*a + 0*a)*(2*a + 2*a**3 - 2*a) - 99*a**3 + 4 - a**4 + 99*a**3 + 2*a.\nAnswer: -4*a**4 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (132\/6 - 5) + -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -0*d - 5*d + 19, 4*d - 12 = 0. Let v = g + 6. Find the third derivative of 4*b**3 - 2*b**3 - 2*b**2 + 3*b**v wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3203220221 (base 4) to base 2.\nAnswer: 11100011101000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 145.007 grams?\nAnswer: 0.145007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*r - 6*r + 13*r - 54*r**2 + 2 - 10*r to the form m*r + u*r**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 237\/333 - 2\/6. Let z = -1\/296 + n. Sort z, -0.4, -8 in decreasing order.\nAnswer: z, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10063196 to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5.0427 + -0.0427. Put w, 0.65, -1 in decreasing order.\nAnswer: w, 0.65, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 6 - 10. Are 2\/17 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.0118 - 0.02. Round k to 4 decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, 2\/9, 0.3, -8.26, 2\/5 in increasing order.\nAnswer: -8.26, 2\/9, 0.3, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 3450 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 400236901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -812727*c**2 + 1090*c + 6 wrt c?\nAnswer: -1625454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -9*j**5 - 15*j**4 + 11. Let b(i) = -5*i**5 - 8*i**4 + 6. Let z(r) = 11*b(r) - 6*x(r). Solve z(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -1. Let a(r) = 4*r + 1. Let f(y) = -a(y) - 2*t(y). Let g(b) = -b**3 + 3*b**2 + 4*b - 1. Let z be g(4). What is the units digit of f(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.5 - -0.6. Let k = -0.9 - -0.5. Let p = h - k. Which is the third smallest value? (a) -4 (b) -1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {d: 3, f: 13}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**4 - 11184*x**3 + 15635232*x**2.\nAnswer: 2*x**2*(x - 2796)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 - 3 + 1)*(-1 - 1 + 4) + 0 - 16 + 7)*(-2*n + n - n) in the form o + s*n and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((a*a\/a**(-6\/11))\/a)\/((a\/a**(2\/7))\/a))**(2\/85))**(-2))**(-2\/9) assuming a is positive.\nAnswer: a**(376\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1873297527.\nAnswer: 3, 271, 2304179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-7) + (-32)\/(-14). Suppose 4*r - 5*n = -2 + 26, -5*n = 0. Let i be k\/6 - (-46)\/r. Solve 4*b = -3*w - 5, -3*w + 3*b + 12 = -i*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 + o**2 - 6*o + 1. Let h be b(-3). Put -4, h, -2 in ascending order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*s**3\/17 - 76*s**2\/17 - 144*s\/17 = 0. What is s?\nAnswer: -36, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 208060 and 110696.\nAnswer: 57008440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 678 - 399. Let v = 279.12 - g. Are v and 2\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sze when three letters picked without replacement from {z: 4, s: 4, y: 2, e: 1, t: 7, l: 1}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2106 and 3457090.\nAnswer: 280024290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 73229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/4, -0.05312, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 467 is divided by 233.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, v: 2, o: 2, b: 4, d: 6}. What is prob of picking 3 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -131.31 + 131.61. Which is the nearest to 0? (a) 1.1 (b) 2\/37 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -329679 divided by 104.\nAnswer: -329679\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -14009963 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 130319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/8*424\/530.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 4*t = -4*t. Is t bigger than -4\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 304*c**4 - 436*c**4 - 2*c**2 + 4*c + c + 3*c**2 to the form s + p*c**3 + a*c**4 + t*c**2 + q*c and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 116 - 114. Let z(s) = 61*s + 8. Let d be z(i). What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -52, -2, 4, -5 in ascending order.\nAnswer: -52, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 578, 1626, 2644, 3626, 4566, 5458?\n\"Answer: -k**3 - 9*k**2 + 1082*k - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 225 (base 6) to base 14\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.089 (b) 0.22 (c) 0.2 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8 - -5. Let d be 2\/(o\/((-21)\/(-2))). Let i = -1 - -1. Does i = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11865756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4.77 + 5.07. Sort 2\/7, -2, d, 0.13 in increasing order.\nAnswer: -2, 0.13, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 35*d**2 - d + 1. Let i = -63 - -64. Determine v(i).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 122 - 119. Let x(q) = -38*q**3 + 3*q - 4*q + 42*q**b. Let p be x(8). What is p rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 - 20749*d + 20748*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 30 + (-16 - 4) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -49*i + 52*i - 3030. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 - 14*w**2 - 25*w. Let d be i(-12). Suppose 20 = -d*r + 13*r. Let b = r + 7. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + 25 + 7470\/(-234)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14558 - -26105. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -57*b**2 + b. Let z be u(1). Let v = -45 - -29. Let a be 4\/14 - v\/z. Solve 0 = -k - 2*d, k - 14 = -a*d + 5*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33860 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 31436*h**2*l + 127*h**2*m + 12*h**2 + l**4*m - 3*l*m + 4*m wrt l.\nAnswer: 31436*h**2 + 4*l**3*m - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -532*c**2*m + 2124*c**2 + c*m - 2*m - 1 wrt m.\nAnswer: -532*c**2 + c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**5 + 51*b**4 - 264*b**3 + 432*b**2.\nAnswer: -3*b**2*(b - 9)*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00018507 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 46228 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 44\/132*-1*6\/(-23)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -6*r - 42. Let b be u(-9). Suppose 10*w - b = 8. Let o be (1 + -1)\/(1 + -4). Put o, -2, w, 4 in descending order.\nAnswer: 4, w, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*a = -14*a - 5*j + 33, 0 = -5*a - 3*j + 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -383*o - 44*o - 6884*o - 6155*o + 409*o to the form c*o + r and give c.\nAnswer: -13057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, p: 3, m: 1, b: 2, n: 1, e: 3}. Give prob of sequence mg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -54 divided by -59.\nAnswer: 54\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -125620, -125634, -125648, -125662?\nAnswer: -125676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 212341?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79*s = -87*s. Let c be (-4)\/6*(s + -18). Solve 4 = -4*x + c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2208779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/159)\/s**(1\/63))**(2\/9) assuming s is positive.\nAnswer: s**(-22\/30051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times 3580.881?\nAnswer: -39389.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add together -36296347428 and 1.\nAnswer: -36296347427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 170, 186, 202?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k**3\/5 - 44*k**2 + 424*k\/5 = 0.\nAnswer: 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 l, and 2 g when four letters picked without replacement from ggdqvglvgqdgqq?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 4*b + 4*v + 4 = 0, 4*b - 3*v = 7. Let w = 3 - -2. Differentiate -1 + 2*d**4 + 5*d**4 - w*d**b with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10404 divided by 51?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q + 11*q**2 - 3*q + 19*q. Let w = -583 + 940. Let s = -370 + w. Let l(n) = 5*n**2 + 8*n. Give s*l(c) + 6*f(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -1 + 0 + 1 - (718 + -679).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxtnxxqxxqxxtonttt. What is prob of picking 1 x and 3 t?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/21 + (205\/(-82))\/(140\/(-648))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 100732143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -33*a**3 + 72*a**2 + 13148?\nAnswer: -99*a**2 + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*k + 58 = -29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 875774*a + 313. Let k(m) = 5614*m + 2. Calculate 626*k(p) - 4*v(p).\nAnswer: 11268*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-27)\/12 - 2\/(-8))\/2. Let l = f + 34. What is the highest common factor of 264 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 42.3886 micrograms?\nAnswer: 0.0000423886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + n**2 - n)*(24 - 476 + 23) + (2*n + 3*n - 4*n)*(-4*n + 2*n + n) + 3*n**2 - 5*n**2 + n**2.\nAnswer: -431*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-5*sqrt(1872) - sqrt(1872))**2 - (((-4 + sqrt(1872))**2 + sqrt(1872) - sqrt(1872)) + 5))*5.\nAnswer: 480*sqrt(13) + 327500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, p: 3, o: 1, q: 1, z: 4}. What is prob of picking 1 q, 1 z, and 1 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204) + (sqrt(204)*2*6 + sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204))\/(sqrt(300)*-5).\nAnswer: -13*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1768 + -22?\nAnswer: -178a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 2300?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2b656b (base 12) to base 13\nAnswer: 1ca570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.3, 2\/11, 6, -0.3, -0.2, -0.54?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -11 + 30*t + 17*t - t**2 - 59*t. Determine r(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0\/(-1) - -2*2. Let p(z) = 4*z + 10 + t*z - z**2 + 5*z + 6. Let r be p(14). Solve -v + r*v + 5 = 5*m, 2*m = -v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**4 + u**4 + 0*u**4)*(-4*u + 3*u - u) - u**5 + 0*u**5 + 2*u**5 + (-2 + 4 - 1)*(3*u**4 + u**5 - 3*u**4) - 6*u**5 - 71*u**5 + 37*u**5.\nAnswer: -42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/(-3)*((-40)\/(-48) + 22\/(-3)). Let h(v) be the first derivative of v**2\/2 - v + 1. Let s be h(-1). Is b greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-31 + 26)\/((-2)\/4*2). What is the second derivative of c*l**2 - 15*l - 21*l**2 - 6*l**2 - 60*l**2 - 1 wrt l?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -759 smaller than -757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of -3.5 and -44019.\nAnswer: -44022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 + -9. Let f = 16 - m. Suppose f = 4*q - 5*i - 40, -5*i - 13 = q + 2. Solve -5*c = -q*o + 45, c + 0 - 11 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -4*s**2 - 193*s - 145. Let r be m(-47). Solve 10*y + r = -20*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (504\/99)\/(720\/440)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, v: 2, z: 1, m: 3}. Give prob of picking 1 v and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/50640 and -37\/610845.\nAnswer: 9773520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -218715 by 35.\nAnswer: -6249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 1 = -m + 2, 0 = -l - 4*m - 24. Are -3 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*p + 104 = -44*p. Let h = p - -49. Let y be 9\/h - (2 + -65). What is the greatest common divisor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 2 + (5 - 5 - -5) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -10*c + 90. Let w be ((-12)\/9)\/(3 - (-57)\/(-18)). Let x be h(w). What is the greatest common factor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -3*u**4 + u**2 - 2. Let s(p) = 1261*p**4 + 4*p**2 - 837. Let t(q) = -4*j(q) + s(q). What is the derivative of t(c) wrt c?\nAnswer: 5092*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 17. Let g(z) = -2*z - 86. Determine 3*g(h) + 16*i(h).\nAnswer: -6*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7840 is divided by 1410.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1552 and 88.\nAnswer: 17072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20346 + 1322524\/65. Let b = w + -12\/13. Is -0.12 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -62426 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(91)\/(sqrt(7) + sqrt(700)*2 + sqrt(7)).\nAnswer: sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r**4\/3 + 1875928*r**3\/3 + 4689697*r**2\/3 - 898862*r + 117243 = 0. What is r?\nAnswer: -117243, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 36911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 5 = -m. Let d = -1127 - -1132. Suppose 70 = d*t - m. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 212 divided by 68?\nAnswer: 53\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 21232 (base 5) in base 4?\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*h - 22*h - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 48 - 22 = -20*y + 166 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 22*j - 3395. Calculate u(154).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of 4*w**7\/63 - w**6\/5 + w**5\/15 - 7*w. Factor v(q).\nAnswer: 2*q**3*(q - 2)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (151\/(-4))\/(-12*8\/(-64)). Let h = 20 + x. What is the common denominator of -41\/3 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 + 3*k - 3. Let j be r(-4). Suppose 0 = o - j - 2. Suppose 2*l + 4*b = 38, 7 + 26 = 2*l + o*b. What is the remainder when 26 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 2 v when four letters picked without replacement from bprrrrprrbrrrvrrrrv?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-73.77.\nAnswer: 29.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - -27 - -42 - 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 22882.14nm?\nAnswer: 0.00000002288214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by 165.\nAnswer: -8\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 649583?\nAnswer: 11, 59053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 128611 = 16389. Round g to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**5\/7 + 3*j**4\/7 + 6*j**3\/7 - 8*j**2\/7 = 0. What is j?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10019.\nAnswer: 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15660\/31 or -506?\nAnswer: -15660\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 - 19*g**2 + 30*g + 57. Determine n(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of p**8\/6720 + 13*p**7\/2520 + p**6\/60 - 7*p**4\/24 - 2*p**2 - 45. Let s(m) be the second derivative of c(m). Determine s(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 65580 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12*-4*(-3)\/(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 13746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(931) + (sqrt(931) - (sqrt(931)*2 + sqrt(931) + -4))) + (-1 + sqrt(931))*1*5 + 4)*5)**2 + 5.\nAnswer: 5250*sqrt(19) + 28905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*d - 472*d - 17029 = 4571 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -88923.\nAnswer: 88923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2668, 2661, 2642, 2605, 2544, 2453, 2326, 2157?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5511117 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 954 and 10794?\nAnswer: 1716246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 1558986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b87 - d2?\nAnswer: -1c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 3*z = 159, z = -i + 6*z - 61. Let q be (-100)\/i - (-2)\/9. What is the third derivative of -4*m**6 - 3*m**2 + 3*m**3 + 2*m**q - 5*m**3 wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 3*a + 40. Suppose 4*o - 110 = -f + 34, -3*o + 3*f + 108 = 0. Calculate the remainder when o is divided by p(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 2*b - 2*b)*(0*b + b - 3*b) - 4*b**2 + 2*b**2 + 4*b - 3*b.\nAnswer: -4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 102 (base 3) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 147257.\nAnswer: 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 + 17*y**2 - 53*y - 7. Calculate l(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 403*j**3 - 204737*j**2 - 600100616*j?\nAnswer: 2418*j - 409474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b*b**(-25))\/b)\/b**(5\/2)*b**(1\/22)\/(b*((b\/b**(-13))\/b)\/b*b) assuming b is positive.\nAnswer: b**(-445\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 279 - -95?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -35259 - -36869. What is the lowest common multiple of k and 322?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 7. Suppose -2*t = 6, 3*t = -k + s*k - 189. Suppose -o = -4*o + k. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 170 + -118. What is the remainder when k is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*f + a + 10, 2*f + 14*a = 16*a - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30 + 159. Let z(r) = -r**3 + 12*r**2 - 25*r - 10. Let y be z(3). Sort 1, y, x in descending order.\nAnswer: x, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 39480 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + r = 5*t - 160, 2*r + 64 = 2*t. Let c = t - 51. Let u = c + 34. Calculate the remainder when 28 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4020010\/287 or 14007?\nAnswer: 4020010\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*g**5 - 3*g**5 + 4*g**5 + (5 - 2*g**2 - 5)*(-4 - 14*g**3 + 4).\nAnswer: 24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2607 and 1881?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 24297508703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -27, -160, -493, -1110, -2095, -3532, -5505?\n\"Answer: -14*i**3 - 16*i**2 + 13*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1674 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 28522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2\/4 - 423*f + 849.\nAnswer: -3*(f - 2)*(f + 566)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6ba0 - 2?\nAnswer: 6b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -273 = -11*y + 4*y. Suppose -2*b = -3*j + 139, -3*b = -0*j + j - y. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 42*w**2 + 88*w + 4. Let l be a(-44). Solve -2*n + s = 1 + 3, -s = -l*n - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.2, 5, 3, 2\/5, 3824 in increasing order.\nAnswer: -5, 0.2, 2\/5, 3, 5, 3824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -4587981 - 703577.\nAnswer: -5291558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 43?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 + 9*q**2 + 4*q + 4. Let j(x) = -x**2 - x + 1. Let p(h) = -2*j(h) - y(h). Determine p(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -12*w**3 - 15*w**2 - 3*w = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be -11 + (-4)\/2 + (31 - 27). Let q(d) = -d**2 - 18*d + 2. Is q(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 363271.\nAnswer: 363271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 38346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*m + 5*m - 3*m)*(3 + 1 - 7) - 114*m + 410 + 403 + 300 - 976 + 323*m to the form g*m + v and give v.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-100)\/(-168)*648\/1620.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-7)\/(-3))\/((-20944)\/(-1632)). Sort w, -1, 2\/29, -2, -0.2.\nAnswer: -2, -1, -0.2, 2\/29, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -654*d - 10791 = -753*d. Solve -d = 14*v - 151 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -1*(2 + sqrt(112))*1 + -3 + sqrt(112) + 3*sqrt(112)*-2 + -3)**2.\nAnswer: 336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9570324 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**1)**(-4\/25)*((f**3\/f)\/f)\/(f\/f**(-2\/9)) assuming f is positive.\nAnswer: f**(-86\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 12*g**2 - g. Let t(c) = c**2 - c. What is -t(v) + z(v)?\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -65*j**4 - 143445*j**3 + 453280*j**2 + 508260*j - 88400 = 0. Calculate j.\nAnswer: -2210, -1, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -212034557811948 - -2.\nAnswer: -212034557811946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*-2 - 48222\/(-3384).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.22 + -4.78. What is the closest to -3 in 0, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 + 1)\/((-304)\/57 + 5). What is the nearest to 0.1 in 1, c, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 29 - 6. Let f = 466 + -1696. Let i = f + 1391. What is the highest common divisor of d and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -108 in -5\/6, 9691, 0.5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24871349 is divided by 17515.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -3*r + u, 21*u - 23*u + 10 = 0. Let s be 13\/r + 12\/(-2). Let t(o) = o**3 + 5*o**2 - 4*o + 8. Let v be t(-6). Are s and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -14.22117 and 0.02.\nAnswer: -14.20117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 3*s, 4*o - 184846*s - 7 = -184841*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 8*g**2 - 3*g - 2. Let y be r(9). Suppose 2*b - 22 = y. Let v = b - 23. What is the greatest common divisor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2456*m**2 + 10*m. Let s(g) = -g**2. Calculate q(s(c)).\nAnswer: -2456*c**4 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -46010 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 69 - 71. Let z be 4 + (3\/(-3))\/(c\/88). Let w be (z\/128)\/((-1)\/4). What is the biggest value in 2\/3, -0.8, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from lllxxbsvvbsvpspv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1379 + 1377. What is the fourth biggest value in 6\/11, 1, p, 0.09?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 481.1 - 19.1. Let p = -462.00000229 + l. Round p to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -227 + 238. Calculate the smallest common multiple of d and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-726 - 9*y**3 + 726)*(-7*y + 14*y + 10*y) to i*y**2 + d*y**4 + q*y**3 + r + w*y and give d.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.1, 1\/3, 62, 5\/6, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 49451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (1*sqrt(99)*-1 - (sqrt(99)*-1 + sqrt(99) + -3 - sqrt(99)) - (1 + -4*2*sqrt(99)))**2 + 3.\nAnswer: 96*sqrt(11) + 6341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000181936 to 7 dps.\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 17*w**2 - 3. Let u be c(17). Let o = u + 3. Suppose o = -39*a + 37*a + 80. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 2*u**2\/15 + 28*u\/15 + 16\/5 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (100 + 2 - 1) + 0. Let s = -30 + -18. Let u = s + c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -948, 3, 4 in ascending order.\nAnswer: -948, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {f: 9, t: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-14)*2)\/(10566\/(-1405278)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 3*h - 2*n + 7, 3*h - 3 = 3*n. Which is the second biggest value? (a) -4 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3686 less than -4?\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 643 and 314904749.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -961*p**4\/5 - 882942*p**3\/5 - 165447981*p**2\/5 + 3432365820*p - 72613300500 = 0. Calculate p.\nAnswer: -15450\/31, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -984 and 3.\nAnswer: -2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 37739833.7336 + -0.03.\nAnswer: 37739833.7036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -415*j = 6819 - 19684 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(931) + (sqrt(931) - sqrt(931)*-1) + sqrt(931))*5*-3)**2 + -3 - (sqrt(931) + 5 + (sqrt(931) - (0 + sqrt(931))) - sqrt(931)*-2*-1)*-4)*5.\nAnswer: -140*sqrt(19) + 16758085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k = 23*k - 203296. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ugngabg. What is prob of picking 1 a and 2 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 85, 72, 33, -44, -171, -360?\n\"Answer: -2*k**3 - k**2 + 4*k + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 + -9.565. Let n = 0.43229 - h. What is n rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1037, -1931, -2823, -3713?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -52*n + 26. Let i(b) = 252*b - 129. What is -24*c(d) - 5*i(d)?\nAnswer: -12*d + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from weeeeeaeeeeewew.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1749383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -15*a**3 + 3*a**2 - 6*a + 95. Let r(z) = 14*z**3 - 4*z**2 + 8*z - 95. Let m(n) = -4*f(n) - 3*r(n). What is the derivative of m(v) wrt v?\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*m - 217 = -379. Solve -m*i = -16*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 - 7*k**2 + 7. Let f(r) = -r**3 - 13*r**2 - r + 13. Let d(s) = 2*f(s) - 5*h(s). Is d(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of 2*s**7\/7 - s**6\/30 - 1111*s**3\/6 - 1948*s. Find the second derivative of p(z) wrt z.\nAnswer: 240*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/((s*s**(-3\/11))\/s))**48 assuming s is positive.\nAnswer: s**(672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2.6 and -0.693?\nAnswer: -1.8018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6350 and 469825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(1900) - sqrt(1900)*-1) - 5*(0 + sqrt(1900)))**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-80)\/64)\/((-2)\/8). Solve 2*r + 2*x = q*r + 8, -r + 2*x - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 10:17 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3505855 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.053 + 1.01. What is c rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in 3, 2, 2\/265, 4, -30, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1\/7500 - 30247\/1852500. Is p <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -43 (b) 0.2 (c) 1271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= 790\/1147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9735849 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 2*d + 48, 2*w + 0*d + d - 43 = 0. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -83*k + 91. Give z(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from 3599.991.\nAnswer: 3600.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29892, 59875, 89874, 119895, 149944, 180027, 210150?\nAnswer: 240319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(2\/(-3)))\/(-1). Let o = 8 + c. Suppose 0*k + 5*k = -5*j + 15, 0 = 3*j - 3. Solve o + 1 = -k*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -37.3 + 35. Let z = -2.4 - h. Which is bigger: -1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3037 + 76*q**2 - 3037 + 214*q**2 + 2*q.\nAnswer: 290*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.67 and -157864014.\nAnswer: -157864013.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -139845.\nAnswer: 69922.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -d4 + -7?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 1:02 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -426 + 426 - 2*j**4 + j**5 + j**5 + 0*j**5 + 0*j**5 + (-j + 2 - 2)*(4*j**4 - j**4 - j**4) - j**5 + 1 - 1.\nAnswer: -j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134 = -2*o + 3*g, -2*o + 11*g - 6*g + 122 = 0. What is the remainder when 301 is divided by o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**2\/2 - 2121*i\/2 - 11484.\nAnswer: -3*(i + 11)*(i + 696)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 25528753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -2*v**2 + 6*v - 3. Let b be m(8). Let f = 213 + b. Calculate the highest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -1901 + 863 + 778 + 77*j. Let m be g(4). Solve 50*n - m*n - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2330*g + 2331*g - 5*r - 23312, -r = 5*g - 116326. Is g a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 15812 and -0.048?\nAnswer: 15812.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -59.47 + 680\nAnswer: 620.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**3 - x**3 + 4*x**3)*(1 - 1 + x) + 9*x**2 - 9*x**2 + 12*x**4.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 5*f - 1. Let x be b(6). Let p = 12 - x. Suppose 0 = y - p*y + 42. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 11) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mdnndeydneenepenn. What is prob of sequence nd?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - 5632824114344.\nAnswer: -5632824114344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -824 - -1455. Suppose 12*y - 4315 = -l. Suppose 5*f - y = -3*c, -2*c = -3*f - 4*c + 185. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21983 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4408 and 11688914?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 23*k**2 + 6*k - 8. Let m(n) = -8*n**2 - 2*n + 3. Suppose 26*b - 9 = 29*b. Calculate b*y(j) - 8*m(j).\nAnswer: -5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c**2 + 1047*c - 13941. Calculate u(14).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 1 - 1 + 30 + 9*m - 7*m. Let c be i(-14). Suppose 2*x + c = 3*x. Solve -1 = d - x*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 2*r - 79. Calculate d(47).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 5) + 0 + 30 + -33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4212)*-1*6 + sqrt(4212) + sqrt(4212))\/(((sqrt(112)*-1)\/sqrt(4))\/sqrt(7)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, -60, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -10.97 and -104.38.\nAnswer: 1145.0486","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159978 is divided by 7271?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.169 in 4, -1\/2, 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x + 0*x - 4*x)*(2 - 2 - 1)*(2 + 3 - 2) to r + i*x and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 332132310424?\nAnswer: -332132310421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 30510000 to the nearest one hundred thousand.\nAnswer: 30500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**(-7)\/x*x**(6\/7))\/((x\/(((x\/(x**(1\/10)\/x))\/x)\/x))\/(x*x**6)) assuming x is positive.\nAnswer: x**(53\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.23133 and 0.149.\nAnswer: -0.18346817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 2*x - 1, -c + 3*x - 30 = -6*c. Suppose 0 = p - 5*u + 9, u + 2 = 4*p - 0. What is the least common multiple of p and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -3*u. Let f(w) = 19*w**2 - 27*w + 54*w - 27*w. Calculate v(f(z)).\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1360\/8*1\/2. Suppose 80*k = q*k - 1175. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - 5*p - 10, 0 = -2*k - 3*p - 8 + 21. Let s(w) = -3 + 2 - 5*w + 4*w**3 + 9*w**2 - k*w**3. Is s(8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -55 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 35 + -34. Let k be (164\/(-3) + p)*(-24 - -9). Let j = k + -96. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3 and 38446?\nAnswer: 115338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -3. Let v be q + -1*(-1 + -7). Let k = v - 5. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 85986240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -12354*p**2. Let m(h) = 13*h**2. Calculate q(m(i)).\nAnswer: -2087826*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (6086\/(-537))\/(4\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -211767938 + 211779288.8713. Let s = b + -11308. Let m = s + 0.0287. Round m to zero decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 11647, 46147, 103489, 183673?\n\"Answer: 11421*r**2 + 237*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 36, 174, 402, 720?\n\"Answer: 45*j**2 + 3*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04558 rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -6*1*25\/75\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1345 is divided by 189.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 411*i + 39. Let a = 136 - 128. Is v(a) 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 {h: 1, f: 1, c: 1, u: 1, b: 3}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 4 = 3*q, 3*z = q - 0*q + 6. Calculate the least common multiple of 22\/z + -5 - 3\/(-1) and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*m, 2*d + 2*m - 5 = 5. Let a be (-6)\/24*(-8 - d). Let s(o) = -o**3 + o**2 + 2*o. Give s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2*w - 13*w - w - 14. Let g(l) = -34*l - 684. Let a be g(-20). What is the units digit of n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 55*l - 60*l)*(30 + 28 - 62).\nAnswer: 20*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l - 2. Let q = -3 + 3. Suppose 4*c - 20 + q = 0. Let s be a(c). Solve 5*n - s - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.9 + 32.9. What is the second biggest value in -0.1, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x**4\/2 - 2449181*x**3 + 2999246234560*x**2 - 5998482672400*x = 0. Calculate x.\nAnswer: 0, 2, 2449180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7, g: 9, j: 2}. Give prob of picking 3 g.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*m = -11*m - 20*m + 36. Calculate the remainder when (-1)\/((-4)\/(-162))*-2 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1932568.96 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(500) + -2*sqrt(500))\/sqrt(10))\/(sqrt(10)*-1*5) - (-1*sqrt(120))\/(sqrt(6)*-1*2))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-12)\/(d*(d**(-6)\/d)\/d))\/(d**(-2\/121)\/d**21))**15 assuming d is positive.\nAnswer: d**(29070\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -55.086 + 55. Let r = 0.014 - b. Put r, -3\/2, -17 in descending order.\nAnswer: r, -3\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2287*b**2 - 2312?\nAnswer: 4574*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-35)\/20 - (-1 - -1). Let u = 57\/28 + p. Let m be (-3)\/9 + (-8)\/(-15). What is the nearest to 1 in -0.2, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1078\/42 + 1 + (-3)\/(-9). Suppose 25*f + 43 = x + i*f, -x = 5*f - 43. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16089394 or -16089404?\nAnswer: -16089404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.4 - 9545.8\nAnswer: -9546.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -2*u + 42 - u**2 + 21 + 8 + 2*u**2. Let d be n(0). What is d rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 8a (base 16) to base 5\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:04 AM and 12:33 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 5, -7, 2, -17, 14598 in descending order.\nAnswer: 14598, 5, 2, -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 19 = -2*g - 10*n, 3*g + 3*n - 51 = 0. Suppose 0 = 2*r + 2*b - g, 0 = -5*r - 2*b + b + 43. Solve -r = -2*m + 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*y**4 - y**4 + 10 + 12 + y**3 - 24 as a*y**3 + q*y + j*y**4 + o + u*y**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 19300?\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1095.38 take away 0.4?\nAnswer: 1094.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 44949 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/5 - 400092*a\/5 - 400094\/5.\nAnswer: 2*(a - 200047)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6032000)\/(-12)*(148 - -2). Round a to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -48476220 divided by 1\nAnswer: -48476220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 258814636\/11 or 23528603?\nAnswer: 258814636\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 38*q + 64 = 0. Suppose -q*s - 3*s = c - 6981, -s - 5*c = -1377. List the prime factors of s.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124\/93 + (-35)\/42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -1\/106669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.7 in 6, 0.1, -1254, -2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109686 is divided by 588.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2*(-3 - (1 - 5)). Suppose -1 + 5 = w*f. What is the least common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -7113, 6, -1\/6, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.69002135 - 0.69. Round k to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6497468 to the nearest integer?\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 + 5. Let w(u) = 3*u - 1. Let d be w(q). Let v = d - -23. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 253354010*b**5 - 173578704*b.\nAnswer: 5067080200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -24263*o + 4*l + 65 = -24266*o, -o = 2*l + 21 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 119 and 23548?\nAnswer: 400316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101100011000011101 + -10000111?\nAnswer: -101100011010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 100\/(-1170)*87\/(-22). Let t = s + -1\/33. Let q = t - 2\/91. Sort q, -4\/9, -1\/2 in decreasing order.\nAnswer: q, -4\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((6\/88)\/((-276)\/(-506)))\/((1029\/(-28))\/7)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 352 or 3888\/11?\nAnswer: 3888\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -21*d**4 - 3*d**3 - d + 6674 wrt d.\nAnswer: -84*d**3 - 9*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -10139792258 and -0.2?\nAnswer: 10139792257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4579\/6 + 297881\/390. Find the common denominator of 53\/3 and r.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r - 2. Let f be t(-8). Let o be 1742\/f + (20\/12 - 2). What is the highest common divisor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 0, -53.8, -3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46 and 355308922?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 39.773 + -39.6. Let y = -0.173 + z. Let p = 4.3 + -0.3. Is p at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/424080 and -55\/124.\nAnswer: 424080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -3 + 25 + -8 - (2 + -9 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 107683.45 days in weeks?\nAnswer: 15383.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3565 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 584*u = 325278 - 338710 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 210 is divided by 114.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of -x**2\/2 + 59*x - 2. Let i be d(0). Let y = i - 42. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 96.9 - 145.9. Let h = 47.7485 + 1.5835. Let q = h + y. Round q to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16413*m**4 - 1976*m**2 - 48*m**3 - 16413*m**4 - 2*m**6 wrt m?\nAnswer: -240*m**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -65*p + 77*p - 84 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 366*u = -371*u + 71, -2*u = v - 24. Solve -o = -v + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 62115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 777200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 4:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 372 and 834303.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 6*n + 12 = 0, 63*k - 58*k + 24 = -20*n + 23*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 105146503 to the power of 1\/2, to the nearest integer?\nAnswer: 10254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/69*1\/(-2). Let a = s + 1147\/276. Let y = 13\/3 - a. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from eeeeeceeeecee?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9593190, -9593193, -9593196, -9593199, -9593202?\nAnswer: -9593205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 20*n**3 - 3*n**2 + 2*n - 2. Let p = -12 + 15. Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -c - 10. Let d = c - 10. Solve o = -5*w + 17, 8*w = d*w - o + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30439.\nAnswer: 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001442362 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 5*m - 2*v, -2*m - 3 = -4*v - 7. Solve 0 = -3*n + 2*r + 1, -m*r - 14 = -2*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 780 and 90.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 - s - 1. Let n(q) = -2*q**2 - 2*q - 8. Let h(p) = n(p) - 3*t(p). Let v be (16\/5 + -4)\/((-1)\/(-5)). Calculate h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5 + b**3 - 13 - 11*b**3 + b**3 wrt b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*q - 15*q + 30 = 11*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Do 248 and 19577 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/12609 and 47\/7474335.\nAnswer: 67269015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-4\/3))**(-32))**(5\/9))**(-4\/7) assuming q is positive.\nAnswer: q**(-2560\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -7*c**4\/12 + 12*c**3 + 5*c**2 + c. Let h(x) = 6*x - 35. Let m(y) = -9*h(y) - 4*p(y). Differentiate m(n) with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 2:56 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -222 + 251847?\nAnswer: 251625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -15.5 (b) -6 (c) -0.5 (d) -6\/497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-100)*15*((-114)\/36)\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((3*(sqrt(539) + sqrt(539) + 1) + sqrt(539) + (sqrt(539) - (sqrt(539) + (1 + sqrt(539) - sqrt(539))))*1)*-1)**2.\nAnswer: 196*sqrt(11) + 26418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 32 = -2*x - x, 0 = 2*x - 3*m - 14. Calculate the smallest common multiple of 5 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 1:59 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**3 + 2*m**2 + 43*m**3 - 1033242 + 1033239)*(6 - 6 + 2*m).\nAnswer: 80*m**4 + 4*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1737772379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1432 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3505560 + -644.\nAnswer: -3506204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*z - 15 = -5*q - 16*z, -2*q + 4*z = 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g + 2*i + 3*i - 2*i - 12, 127*i - 12 = -9*g + 124*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/6 + (-3)\/9. Let w(f) = -f**3 - 3*f**2 + 2*f - 3. Let k be w(-4). Let d be 2\/(-12) - 75\/(-18). Solve 5*c = -2*p - 1, d*c + h*c - 6 = -k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*l**3*p**3 - 45*l*p**2 - 7*p**3 - 14*p wrt l.\nAnswer: 27*l**2*p**3 - 45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -3*i**3 + 8*i**2 + 68*i + 8. Let f be c(-5). What is the greatest common factor of f and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*o**2 - o**2 - 18*o**2 + 5*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 215 divide 844408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 1)*2 - -131. Find q such that -342*q + m*q - 112*q**2 + 133*q + 4*q**4 - 28*q**3 = 0.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 2*u. Let l be o(-2). Is 0 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -2357.774?\nAnswer: 7073.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 9 = 3*x. Suppose 13 = 4*o + 4*y + 41, 0 = 2*o + x*y + 19. Let w(a) = -3*a. What is w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -16 * -672.\nAnswer: 10752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1276.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 227, 2, 4, 11, -97, -1, -4 in descending order.\nAnswer: 227, 11, 4, 2, -1, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + -6)*((-133)\/84)\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*s**3 - s**3 + 4*s**3)*(1 - 2 + 2) + 62*s**3 - 32*s**3 + 32*s**3 - 16*s**3 + 11*s**3 - 9*s**3.\nAnswer: 46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -9 - ((69 - 66) + -19 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -770, -3838, -10116, -20558, -36118, -57750?\nAnswer: -86408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 36*p + 2228. Let x be h(-62). Which is the second biggest value? (a) 139 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011111 + -11010?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 2*n = -4*q - 4, 5*q + 3 = -3*n. Suppose 0 = n*c - 3*c - 890000. Round c to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 + 6*q**2 + 17*q - 9. Let f(s) = s**3 + 7*s**2 + 17*s - 8. Let t(w) = -5*f(w) + 4*z(w). Give t(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140*m + 141*m + 1 = -l, 5*l - 15 = 5*m. Suppose 0 = -5*p - 15 + 40. Solve l - p = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*26 - (-10)\/(-5). Let j = -10 + u. Suppose s = -5 + j. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -15565 - 35?\nAnswer: -15622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 2*s - 1688 = 0. Is (-1)\/(-2)*s\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-1 - (-2 + 0 + 4 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69 + 30 + 1984*c + 39 + 430*c.\nAnswer: 2414*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1352 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 6, o: 2}. What is prob of sequence qo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4 + -8532\nAnswer: -8536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/545, -0.1, -42, -4, -1 in decreasing order.\nAnswer: 3\/545, -0.1, -1, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 300 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3550 = 42*s - 397*s. Solve -3*p - 5*v + 10 = 6, 0 = 5*v - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2213110133 - -3330?\nAnswer: -2213100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = o - 2, -2*o + 2 + 2 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 3*n + 2. Let g = 0 + 6. Let f be (g\/4)\/((-2)\/4). Let p be v(f). What is the third smallest value in p, -0.3, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 157, 22, 2, 3, -70.\nAnswer: -70, -2, 2, 3, 22, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes after 3:04 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -17.69187 to 1 decimal place.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of s**5*t + 26676*s**3*t**3 - 381882*s*t**3 - 2 wrt s?\nAnswer: 20*s**3*t + 160056*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + 6*q + 3. Let w(o) = -2*o**2 - 13*o - 5. Let h(g) = 5*i(g) + 3*w(g). Let f be h(-9). Does 22 divide (-3 + f - -1) + 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 15) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9482 + -218216\/23. Let t = -1793\/69 - c. Find the common denominator of t and 71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/154557959 or 1?\nAnswer: -2\/154557959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1440 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: Is -7\/2089 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.438558187 to five decimal places.\nAnswer: 0.43856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/(-14))\/((-3)\/(-7)). Let d = -1.39 - -1.9. Let f = d + -0.91. Which is bigger: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2016582, -4033161, -6049740?\n\"Answer: -2016579*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-11))\/(34\/17).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 + 4)*(11\/2 - 5). Let t = -0.3 + 0.8. Put -1, f, t in descending order.\nAnswer: f, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 + 17*i - 25. Let v = 68 - 53. Let d be l(v). Solve 0 = 4*c - d + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-g - 2 + 2)*(-4 + 4 + 2) + (261 - 503 + 567*g + 240)*(-20 + 83 - 8) to v*g + m and give m.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 + -39. Let d = -18106 + 18104. Let z be -3*d\/n + 0. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1656 divided by -20?\nAnswer: -414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 2*i + 0*i + 2.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xbbttxttssbnbbjxxxxx. Give prob of picking 1 n, 1 s, and 2 t.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 36074 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 2\/3 (b) 4 (c) 1\/10 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23413 + 842809\/36. Which is bigger: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(102) - -4*(sqrt(102) + sqrt(102)*1 + sqrt(102)))*-5)\/(((sqrt(6534) - (sqrt(6534)*-2 - sqrt(6534))) + sqrt(6534) - sqrt(54))\/sqrt(9)))**2 + 5.\nAnswer: 86405\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84 = x + 3*x. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1720 and 12900?\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 - i + 8. Let k be q(0). Let v = 2 + k. What is the least common multiple of v and ((-8)\/10)\/((-4)\/30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2289, -4389, -6395, -8259, -9933, -11369?\n\"Answer: 8*b**3 - b**2 - 2153*b - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(sqrt(33)\/sqrt(539) + sqrt(3)))\/(sqrt(55)\/(sqrt(99)*3))*-2.\nAnswer: -63*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 41.3 - 48.5. Which is the nearest to 1\/4? (a) z (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137 less than 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-144)\/63*(-4)\/(-8)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 0*m - m. Let z(y) be the first derivative of 4 + 0*y**4 + y**2 + 0*y + 2\/5*y**5 + m*y**3. What is the second derivative of z(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 1. Suppose 0 = -86*w + 95*w - 27. Suppose -3*s - 19 = 4*y, -w*s = -4*y + 4 + 7. Let g(t) = -t + 1. What is y*g(j) + 6*m(j)?\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3106*a + 3106*a + 3842*a**2.\nAnswer: 3842*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(0 + sqrt(15)\/(-2*sqrt(5)) + 5))**2 - ((sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96)*2)\/(sqrt(96)\/(sqrt(36)\/sqrt(3))) + -5)**2.\nAnswer: -222 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*g = -4*g + 3*a + 3, 5*g + 4*a + 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -86575309*b**3 + 68279312*b**2 wrt b?\nAnswer: -519451854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2*m**3 - 52*m**2 + m - 23. Let t be x(26). Let q(u) = 4*u + t - 508*u**2 + 509*u**2 + 8*u. Calculate q(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 27 + 14 - (3 + 24). Let m(t) = -3*t**3 - 7*t - 4. Let l be m(-5). Calculate the highest common divisor of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let g be (-58)\/(-8) + (-5)\/20. Let y(j) = 9*j**4 - 4*j**2 + 9. Let b(a) = -5*a**4 + 2*a**2 - 5. Let i(n) = g*b(n) + 4*y(n). Factor i(s).\nAnswer: (s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 388 + 180. Suppose 528 = -8*r + d. Solve -r*x - k = 15, x = -3*x + 3*k - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d**2 + 9*d - 10. Let r be v(-7). Suppose -r = -8*g + 3*g. Suppose -3*o = -g - 7. Solve -t - 2*q = o*t - 5, -3*t = -3*q - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of -h**5\/10 + h**4\/3 - 5*h - 4. Let q(d) be the first derivative of x(d). What is the third derivative of q(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 1\/2, -0.4, 48\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 646, 640, 634, 628, 622, 616?\n\"Answer: -6*l + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 290, 0, -14, 3, -5, -1 in descending order.\nAnswer: 290, 3, 0, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(209)\/sqrt(176) - (-2 + sqrt(2299) + sqrt(19) - sqrt(19))).\nAnswer: -43*sqrt(19)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -4702177 + -4852?\nAnswer: -4707029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 13 = 3*y, 3*v + 7 = -v - 3*y. Let k = -49220\/13 - -3786. Sort v, -0.5, k in increasing order.\nAnswer: -0.5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8096 and 164329?\nAnswer: 120946144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (31*120\/39680)\/((-6)\/(-8)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2708, 14, -1, -5, 0, -11 in ascending order.\nAnswer: -2708, -11, -5, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 92000203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.094528 - -19828191.\nAnswer: 19828190.905472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -3*v + 1. Let q be x(-2). Suppose 4*g + 4 = -4*f, -2*f + 2*g + 17 = f. Let k(y) = -f - q*y + 0 - y**2 - 1. Determine k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 3 = -2*f. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 6498329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4 or -271\/71?\nAnswer: -271\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -3. Let j = 3.04 + t. Let i = 0.54 - j. Is i != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 401 (base 7) to base 10.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 51616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 880 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4*(-4 - -3)\/1*1. Suppose 4*u - u + 9 = 0, 2*j = b*u - 236. Let t = -106 - j. Calculate the least common multiple of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 - 41*g**2 - 421*g - 31. Determine i(-24).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5518 and 14942?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1170185 by -5155.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -15*o**2 - 8*o**2 + 3*o**2 + (1 + 3 - 3)*(-o**2 + 4*o - 4*o) + 4*o**2 - 3*o**2 - 2*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 4, -1 = -4*k - 3*w + 5. Suppose k = 6*i - 3*i - 21. Solve i = -4*j - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**3 + 88*b**2 + 188*b + 96.\nAnswer: -4*(b - 24)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*r + 4*l - 29, 4*r - 21 = -3*l. Suppose c = -r*c. Suppose c - 12 = -3*j. Solve 6 = -2*n + j*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-12665)\/(-75) - (-8)\/60 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 23 + -17. Suppose 8*t - h*t - 38 = 0. Suppose 2*b + 0 = 20. What is the remainder when t is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 - 70*j**2 + 32*j + 24. What are the prime factors of o(-74)?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 158 + -156. Find the third derivative of 2*d**u - 18*d**2 + 2*d**2 - 37*d**5 - 68*d**5 wrt d.\nAnswer: -6300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*b + 3*b + 2*b + (-1 - 17 - 13)*(-145 - 18*b + 145) to x + l*b and give l.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 2946.\nAnswer: 14730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1259 = 2*r - 485. Let i = -335 + r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10937093 is divided by 55801?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 103 (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 7590, 4, -2 in descending order.\nAnswer: 7590, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-4)*(-12)\/18. Suppose -3*q - 8 = 5*t, 5*q = -4*t + 3*q - 6. Which is the nearest to -7? (a) -0.4 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*(q\/((q*q\/(q*(q\/q**(-1))\/q)*q)\/q)*q)\/q)\/(q*q**(-2\/15)*q))\/(q*q**(1\/8)*q\/(q\/q**11)))**29 assuming q is positive.\nAnswer: q**(-41731\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 82349955 by -85.\nAnswer: -968823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 148 + -150. Suppose -12 + 15 = 3*n. Put 0, n, x in decreasing order.\nAnswer: n, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:38 AM and 8:17 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**11\/(b\/(b**(-4)*b)))\/(b*b\/(b*b**14\/b)*b*b**(-1\/2)) assuming b is positive.\nAnswer: b**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 17, -13841, -5 in descending order.\nAnswer: 17, 2, -5, -13841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.220751 milligrams in micrograms?\nAnswer: 220.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(11))**2 + 1 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1109*c + 12818*c - 986*c + 13084*c - 2286*c.\nAnswer: 23739*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 24 plus 0.003966?\nAnswer: 24.003966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 7a79 (base 14) in base 11?\nAnswer: 14a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*n - 2*n + 3*p + 6, -n + p + 3 = 0. Suppose -n*y + 5*y = 0. Suppose y*f = -3*f + 66. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -88721 or 1?\nAnswer: -88721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j - 39 = -20*j. Suppose 2*n + 6484 = 4*k, j*k - 5*k + 5*n + 3250 = 0. What is k rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7158 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/((-80)\/10))\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1178 and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 303145.\nAnswer: 5, 19, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3021 + -3016. Solve 2*g = -s - 9, 5*s + o*g + 19 = 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -527*j - 527*j - 79347 = -1057*j. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 5*v + 40. Let k = v + 13. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3*q**2. Let j = -2 - -4. Let w(p) = 1 + j - p - 3. Determine w(f(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 56437*c**3 + 10*c**2 + 32. Let u be i(-6). What is u rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -27, -151, -638, 0.4 in descending order.\nAnswer: 0.4, -27, -151, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 2438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -2*v**5\/13 + 160*v**4\/13 + 64406*v**3\/13 - 6085540*v**2\/13 - 6306384*v = 0.\nAnswer: -182, -12, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144925?\nAnswer: 5, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*1*((sqrt(2057)*-2)**2 + sqrt(2057) + -2) + 1*(3 + sqrt(2057) + -1 - (-1 + sqrt(2057) + 1)**2) + -2.\nAnswer: 55*sqrt(17) + 30847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 100\/3 + 2\/3. Let k = 57 - d. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(14\/(-92)) - 9\/(-21). Solve -b = 4*q + z, 4*b + 1 + 7 = 4*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 1 + 2*q - 3 - 2*q**3 - 2*q**3 as w*q**3 + v*q + f + s*q**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be -2 - (-2 + -6)\/(-2). Let y be 4\/3*9\/t. Let n(f) = f**3 + 27*f**2 + 139*f - 18. Let w be n(-20). Put w, y, -3 in increasing order.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ki when two letters picked without replacement from {g: 6, k: 3, i: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -154732128 divided by -9670758.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -9*m**2 - 11*m + 3. Calculate v(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 553 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -6*f**2 + 78*f - 504. Let q(p) = 11*p**2 - 156*p + 1009. Let y(m) = 5*k(m) + 3*q(m). Determine z, given that y(z) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/6 - (-90)\/(-20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*c**2 - 2*c**2 - 3*c**2)*((4*c - 5*c + 2*c)*(0*c - 2*c + c) + 3*c**2 - 5*c**2 + c**2) to the form v*c + q + l*c**2 + n*c**4 + t*c**3 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1022*a**2 + 636*a**2 - 883*a**2)*(a - a - a)*(-4 + 4 - a + (a - 3*a + 4*a)*(-1 + 0 + 3)) to u*a + v*a**4 + j*a**3 + x + s*a**2 and give v.\nAnswer: -2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of 23\/4*g**4 + 0*g**3 + 10*g + 16 + 0*g**2. Find the first derivative of u(i) wrt i.\nAnswer: 69*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*w - 42 = 70. Suppose 5*i = -3*h + 10507, w*h = -2*i - 193 + 4407. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1251774?\nAnswer: 2, 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 173791*y - 173794*y - 13*p + 63, 3*p - 21 = -y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 11*13\/(-429)*30\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 59*w + 43. What is the units digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*a = 7*a - 42*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -376 + 375. Which is the closest to m? (a) 1\/5 (b) -4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 PM and 9:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1698, 3251, 4646, 5805, 6650?\n\"Answer: -13*i**3 - i**2 + 1647*i + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3139 is divided by 846.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -135 - -409\/3. Let i be (4\/10)\/(14\/10). Sort z, i, 1\/5 in ascending order.\nAnswer: 1\/5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32359 times 4?\nAnswer: 129436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (64*h**2 - 43*h**2 + 64*h**2 - 2*h + 2*h**2 + 2*h + (1 + h - 1)*(2 - 2*h - 2) + 5*h**2 - 4*h**2 - 2*h**2)*(4*h**2 + 2*h**2 - 4*h**2).\nAnswer: 168*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2064 or 2109?\nAnswer: 2064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/20 and 179\/2370.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 2. Let o = 5 - -1. Let s(r) = -7*r**3 - 6*r**2 + 8*r - 4. Let t(y) = -6*y**3 - 5*y**2 + 7*y - 3. Let i(h) = o*t(h) - 5*s(h). Give i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 + 5*h + 4. Determine u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -u - 2*r - 8 = 0, 26123*u - 26127*u - 24 = 4*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -1.21853092 to 3 decimal places.\nAnswer: -1.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -8 plus -382?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6378 is divided by 336?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l**3 - 17*l**2 + 5*l + 21. Let a be k(-17). Let m = -49 - a. Suppose -m*j - 111 = -16*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(85)*-2)\/(sqrt(5)*4*-3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l**2 + 3*l + 0*l - 6*l**3 - 1 - 6*l to the form u*l + g*l**3 + h + f*l**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 250*x**3 - 4*x**2 - 7*x. Let k be w(-4). Let h = -12427896\/775 - k. Let p = 592\/5425 + h. Is p not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 315*g - 945. What is a(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -2*w**3 + 17*w**2 - 22. Determine a(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 174*s - 10964. Determine j(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (2\/(-10))\/(128\/(-100)) and 65\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/70)\/(1\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1116\/(-16)*244\/(-1).\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/23 + 514534\/16123)*(-4 + 0).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9\/11 + 34\/55. What is the closest to -0.1 in -4\/9, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.118 in -152, 0.1, 0.01, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from isisniinnisiinisiin.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11\/14 - -97\/70. Let h = 42 + -169\/4. Let u = -0.3 - 0.1. Which is the nearest to h? (a) u (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 875 = 2*g - 81. Let j = 480 - g. Solve -j*z = 2, z - 5*z + 16 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 + 13*h**2 + 15*h + 4. List the prime factors of y(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-154)\/77*(-1)\/(-15)*3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -2. Suppose 0 = 3*v - 3, -3*d + 2*v = -j*d + 11. Let i be -1 - d - (-11 - -3). Calculate the highest common divisor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -643 and 57896.\nAnswer: 57253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 145, 296, 449, 604, 761?\n\"Answer: z**2 + 148*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**2 - 7*n - 5. Let t be r(8). Suppose 0 = t*s - 8*s + 60. What are the prime factors of (-3)\/(-12) + 93\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -76 - -112. Suppose -6 + p = 3*v. Is 6\/(-10) - (-2516)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 - 17*f - 13. Let a(l) = -2*l**2 - 34*l - 26. Let h(r) = -2*a(r) + 5*c(r). Calculate the remainder when h(-6) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of o**3\/3 - 391*o**2 - 3643*o. Let x(k) = -4*k. Determine i(x(t)).\nAnswer: -8*t - 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2302104300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/27)\/(96*(-103)\/(-266976))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 110001011 (base 4) in base 15?\nAnswer: 1945e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 570493?\nAnswer: 7, 11, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/4 - (-13)\/4. Suppose 0 = t - 5*u + 22, 3*t - 19 = -11*u + 9*u. Let z(b) = 0*b**2 - b**2 + 0*b**2 - 4 + 5*b + 4*b**2 - b**t. Give z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(3\/2))\/(h\/h**(-5)))**(1\/23))**(2\/17) assuming h is positive.\nAnswer: h**(-7\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from crcrrrr. Give prob of sequence rcrc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 299*h = 237*h - 372. What is the closest to h in -0.3, 3\/4, -0.504?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-28)\/2*(-2)\/4. Suppose 8 = 4*o + c - 40, a = o - c. Let q = 2 - -18. What is the remainder when q is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.2 (b) -9 (c) -5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 4, -f + 20 = w - 4. Suppose -z + 7 = -w. What is the greatest common factor of z and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + -21. Let p(a) = -a**3 - 14*a**2 + 14*a. What is the lowest common multiple of 2 and p(k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12913320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 217*p + 133*p**2 - 119*p - 74*p to s*p + k*p**2 + a and give k.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000132774 rounded to seven dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 205637.7 centuries?\nAnswer: 2056377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be 90\/(-18)*3\/5. What is the hundreds digit of (0 - p)*(496 - 182\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.146941 years in months?\nAnswer: 97.763292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + 30f?\nAnswer: 30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2\/17 - 33948*n\/17 + 169790\/17.\nAnswer: -2*(n - 5)*(n + 16979)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 5*y**3\/2 + 44205*y**2 - 5*y\/2 - 44205 = 0.\nAnswer: -17682, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3 = -4*o, -4 + 10 = 3*a - 3*o. Let n be (-1 - 6) + (a - 4). Let c = 20 + n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 100\/6*-8*63\/420.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -2534116?\nAnswer: 5\/2534116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -4*i - 6. Let c(v) = -v - 1. Let a(w) = -6*c(w) + m(w). Let k(n) be the third derivative of -2*n**2 + 0*n**3 - 1\/12*n**4 + 0*n + 0. What is a(k(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together 257.314671 and 136.\nAnswer: 393.314671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 0\/1)\/((-437)\/152 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -116, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93932 is divided by 3624?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -124*f. Let n be d(-1). Let s = n - 87. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -14*x - 1. Let c be k(-2). Let y = c + -26. What are the prime factors of 93\/y + (13 - 15)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1, -2, -3, -4, -5?\n\"Answer: -l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 43416, 86628, 129830, 173016, 216180?\n\"Answer: -w**3 + w**2 + 43216*w + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.87 and -0.4.\nAnswer: 1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -8*h**2 - 4*h - 2. Let v(k) = -8*k - 9*k**2 + 12*k - 9*k - 2. Let p be 6 - -1*(1 - 0). Calculate p*w(n) - 6*v(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zen when three letters picked without replacement from nzzezszzznzzz?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 16*n**2 + 24*n + 34. Let l = -31 + 13. What is the hundreds digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -23*t + 23 - t**2 + t + 9. Is h(-18) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 148768, -4 in descending order.\nAnswer: 148768, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 103926*g**3*y - 2*g**2 - 29770*y wrt g?\nAnswer: 623556*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/4*5)\/(2\/8). Let l(j) = -j**2 - 5*j - 5. Determine l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 306290 and 1967?\nAnswer: 2144030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*q = 932 + 14. Let i(w) = -w**2 - 27*w + 93. Is i(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 10a40 + 22?\nAnswer: 10a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-4)*(-48 + 48). Suppose 3*w - w = m. Let o(c) = c**2 - c + 31. Give o(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - 6) + (2 - 7 - -8 - -20)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3*b. Suppose 3*x = 2*l + 3*l + 130, -3*x + l = -146. Suppose b = -9*w + 10*w - x. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4413, -4423, -4439, -4461, -4489, -4523?\nAnswer: -4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/20)\/((-66)\/55)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 3:28 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 4*v - 5*z, z - 4 = -3*v - 22. Is -112\/17 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 6*s - 9*s + 4, 3*o - 1 = s. Let r = -0.3 + -1.7. Let d be (-104)\/306 - 4\/(-18). Which is the closest to o? (a) d (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from knfkknqqknkfknnfkqz. Give prob of picking 4 k.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -974.4 - -974.5062. What is k rounded to three decimal places?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 7, 0, 16\/5, -2\/111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 9791501183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + -15. Calculate the lowest common multiple of 8 and l*4\/16 + 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -9*k - 35. Is (-18)\/12*1*5266\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(252)*-2)\/sqrt(6))\/sqrt(7))\/(3*sqrt(2187)*-2).\nAnswer: 2*sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) - sqrt(2736)*1*3)**2 - sqrt(2736)) + sqrt(2736) - sqrt(133)\/((1*sqrt(21))\/sqrt(3)).\nAnswer: -sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 316, 627, 938, 1249, 1560?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-99)\/(-21) + 2\/7. Let g(x) = 2*x**2 + 5*x + 5. Let i be (-1)\/3 - (-66)\/9. Let j(q) = 5*q**2 + 10*q + 10. Let t(d) = i*g(d) - 3*j(d). Calculate t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79293119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 + -68.42299364.\nAnswer: -68.32299364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 4*b**2 + b. Let v be ((-1)\/4)\/((-4)\/48). Let q be p(v). Let y(c) = -c - 5. Let k be y(q). Put k, -9, 2 in descending order.\nAnswer: 2, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 121 = -11. Suppose 0 = 5*j - 8 - 77. Calculate the remainder when i is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + (-419 - -425 - (1 - -124)) + 20?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/2067 and 75\/3562?\nAnswer: 566358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2 - -7)*-3*(-2)\/6. Suppose -1 + c = -o. Let l(q) = q + 3. What is l(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/36*-12*(-2)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - 6*t + 12. Suppose -t*i + 73 - 33 = 0. What is the highest common divisor of 70 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 262 = 5*o, -368 = 5*n - 7*o - 66 + 52 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + 2*r - 10. Let o be 1 - (0 - (-6)\/(-84))*(4 - (19 + -7)). Which is the second smallest value? (a) o (b) -0.7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11716966.\nAnswer: 2, 5858483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and 52185318.\nAnswer: 260926590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1192*k*v*y**4 - 5*k*v*y**2 + 358*k*y**2 + v*y**4 wrt y.\nAnswer: -28608*k*v*y + 24*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 8*o + 5. Let d(s) = s**2 + 64*s + 41. Let v(h) = -2*d(h) + 17*r(h). Let w(q) = -q + 1. What is v(p) - 4*w(p)?\nAnswer: -2*p**2 + 12*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k**3 + 4*k**2 - 6. Calculate q(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/10 + 1491\/35 + -1. Suppose 2*q + 835 + o = 0. Let f be ((-15)\/1 - -5)*q. What is f rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-8)*-2)\/((-1)\/10). Let b = 1920 + -1923. Put 2, n, b, 9 in ascending order.\nAnswer: b, 2, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -116*a**2 + 22*a**3 + 110*a**3 - 24 - 220*a**2 + 164*a + 64*a**3 = 0. Calculate a.\nAnswer: 2\/7, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -27, -70, -113?\n\"Answer: -43*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005978 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30706 + -30388. What is the lowest common multiple of 636 and j?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**2 - 52*s + 504. What is the remainder when 74 is divided by a(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 331143 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((4\/276)\/((8\/(-18))\/(60\/(-45)))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = 8*b - 13*b. Let r = b - -29. Suppose 3*n + r = 20. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 10 = -0*s. Let c be (1 + -1)\/(-1 + s). Let y = c - -2. Solve -y = n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/18*-4*6. Solve v = -z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 903493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 10299 to the nearest 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/8)\/1*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 13227*y + 14 = -x + 13223*y, y = 2*x + 10 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -80*s. Let c be d(-1). Calculate the greatest common divisor of 120 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 23 + 3 = 0, u - 5*d + 1099 - 1003 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 - -1302?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 4*x**2 - 10*x + 8. Does 8 divide n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3397 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 111648202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 10825 (base 10) to base 8.\nAnswer: 25111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 160 a factor of 19816160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -70\/2277 and 82\/6417?\nAnswer: 70587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 11 - -1 - (4 - 4). Let z = -71\/6 + y. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*g = -76*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**5\/20 + 13*a**4\/12 + 4*a**3\/3 + 5*a**2 - 2*a. Let s(r) = -2*r**2 - 18*r - 28. Let o be s(-8). Is b(o) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (8 - (1 - -50)) + 11\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2691 and 1004640?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 5*h + 2*k - 75, 0 = h - 2*k - 23. Find y such that 3*y**2 - h*y + 15*y + 3 + 4*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5840 and 6205?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3985784915.\nAnswer: 5, 7, 83, 1372043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4836949241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17318772 is divided by 1660.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 401 (base 7) in base 4?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((12031\/(-636))\/227).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/(3 - -5) + 4. Put 1, f, -4, 2 in decreasing order.\nAnswer: f, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 58726 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(2*(sqrt(187) - sqrt(187)*1 - sqrt(187)) + 2*-2*sqrt(187)))\/((sqrt(77)\/(sqrt(7)*3) - sqrt(11)) + sqrt(77)\/(sqrt(7) - sqrt(175))).\nAnswer: -432*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-5)\/((s\/s**(-1\/5)*s*s)\/s))\/(((s**4\/s)\/s)\/(s\/((s*s**(-3\/8)\/s*s*s)\/s)*s)) assuming s is positive.\nAnswer: s**(-313\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v = 5*d + 5*v - 5, -3*d + 3 = 4*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2*a. Let y be ((-3)\/2)\/(3\/6). Let w(c) = -c - 1. Let r(n) = y*w(n) - j(n). Is 5 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 67 = -i, -4*w = -3*w + 3*i - 14. Let r be 2\/4*102\/w. Suppose 0 = r*f - 6. Solve 2*h - 2*a - 12 = 0, -f*a + a - 14 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35 + 104 - 17 - 5*v - 21.\nAnswer: -5*v + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3 (b) -46\/5 (c) -4 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (6*(sqrt(1008) + sqrt(1008)*-2 + sqrt(1008)) - (1 + sqrt(1008) + 0))**2 + -2)*3.\nAnswer: 72*sqrt(7) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((6\/2)\/6)\/(-1). What is the second biggest value in 6, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4*s - 1 + 6*s)*((17*s**2 - 3*s + 3*s)*(-12*s**2 - 3*s**2 + 5*s**2) + (-s**3 - 2 + 2)*(2 - 2 + 2*s)).\nAnswer: -344*s**5 - 172*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + -14 + (9 - (-92)\/(-7))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1412346, -2824698, -4237050?\n\"Answer: -1412352*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 2:49 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 58366703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5633, -6042, -6451, -6860?\nAnswer: -7269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from wwfwwff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70798.\nAnswer: 2, 7, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1177040801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -9, -15491, -2, 3 in increasing order.\nAnswer: -15491, -26, -9, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 54?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 259923412 divided by 73591?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*v - 10*v = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/6*(-72)\/(-16). Let i = -1 - -1. Suppose -6*g + s*g = 2*c + 5, i = 4*c + 2*g - 2. Solve 0 = 2*t + c*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56\/(-252) - 2900\/(-9)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 701535.\nAnswer: 3, 5, 46769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 155.9 - 156. Let w = 10 - 5. Let p = w - 4.5. Sort p, -7, t.\nAnswer: -7, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + -5. Let k(r) = 2 - r**3 - r + 5*r**2 - 1 - v*r**2 + 3*r**2. Let m(b) = b**3 - b**2 + b. Let z be m(2). Give k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3026\/2585 - -24\/235. What is the third biggest value in g, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 91.284 - 90. Round f to two decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 2*g - 3. Let s be i(-2). Let m be (2 + -4 - 0) + s. Let t(c) = -c**3 - 10*c**2 - 9*c + 2. Let x be t(m). Solve 2*f + x*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 + 8)*16\/12. Let p = 0 - -2. Factor -t*m**3 - 4*m**3 - 2*m + 5*m**3 + 9*m**p.\nAnswer: -m*(m - 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -134 - -133.6. What is the biggest value in -5, -4\/5, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 450 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**2 - 39*t + 45. Give w(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -46301, -185320, -417067, -741542, -1158745?\n\"Answer: -46364*k**2 + 73*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 440291381.0000245 - 440291273. Let d = 108 - y. Round d to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 PM and 11:25 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5287 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d - 310 = -304 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -12) + (-8 - 8) + 7 + -8 - 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-46)\/(-42) - (-282)\/(-658)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 9*y + 8. Let x(c) = c - 5. Let s be x(11). Let q be u(s). Suppose 5*n - 8 = q. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - 991232.\nAnswer: -991234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - -44683.\nAnswer: 44677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) 4 (b) 578 (c) -3 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (0 + 1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11184 = 24*b - 7296. Is 56 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 62 (b) -0.5 (c) 1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*f + q + 89, 16 = 6*f - 3*f + 4*q. Let y(o) = 3*o + 12. Let t(d) be the first derivative of d + 15. What is f*t(x) - y(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 226.39 millennia in years?\nAnswer: 226390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.5 + -9302012048\nAnswer: -9302012048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((-2)\/10*1). Suppose -266 = 181*s + 277. Put f, -4, s, 5 in increasing order.\nAnswer: f, -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 190971056 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o + 6*h - h - 4, 5*h + 2 = o. Let w = -767851\/44915 + 30\/8983. Let v = -204\/13 - w. Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 2\/3, -4, 0.32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z + 9*z - 6130 = 7*z. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 375*u**5 - 183744*u**4 + 900060*u**3 + 3114198*u**2 - 3769779*u - 61110 = 0. Calculate u.\nAnswer: -3, -2\/125, 1, 7, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - u**2 + u - 3. Let v(q) = 2*q**3 - 2*q**2 + 3*q - 6. What is -5*r(j) + 3*v(j)?\nAnswer: j**3 - j**2 + 4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - -9 - (1 + 2). Suppose -d = j*w - 51 - 84, -4*d - 3*w + 557 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 129515526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - -5. Does 14 divide 0\/1 + b*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11988 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 141498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k - 3 = 2, 5*v = -3*k - 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/24 - c**3\/2 - 3*c**2. Let i be w(3). Suppose -4*f - i = -4*a + 2, -3*a + 2*f = -14. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 1074\/4619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g + 435. Let t(d) = -5*d - 1273. Give f(t(j)).\nAnswer: -5*j - 838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*j + 5*j - r + 11, -5*j + 5 = -5*r. Suppose -2*s = -2*n + j*s + 107, 5*n - 310 = 4*s. List the prime factors of (6\/(-9))\/((-4)\/n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2253\/(-30) - 18\/(-12). Let l = 74 + o. What is the nearest to -0.2 in -3, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (40\/70*7\/(-2))\/((-28)\/42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 40\/20*2\/12. Which is smaller: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 1093150 + 12*q**2 - 1093154 - 2*q**2 - 3*q**2 + 3*q. Give a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 6, j: 6}. What is prob of sequence kkkj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (1\/10)\/(8\/20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2, 0.12, 58.7, -2\/9, -1?\nAnswer: 58.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1660 + 841 - 1176 = -19*n. What is the remainder when n is divided by 80?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**11)**(7\/2))**(-8))**(3\/16) assuming g is positive.\nAnswer: g**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 12 - 10)*(-3*p - 2*p - 9*p)*(-3 + 3 - 1).\nAnswer: 112*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 4:39 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2045, -4070, -6095, -8120, -10145, -12170?\nAnswer: -14195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 + 4*p + 6. Suppose 8*s = 2*s - 12. Let n be x(s). Let t(j) = -2*j. What is t(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -4 + (1379 - 1366).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11*7.9.\nAnswer: 86.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3503*t**3 - 119348 + 119348.\nAnswer: -3503*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 48*m**3 - 49*m**3 + 3 + m**2 + 5 - 2*m**4 as j*m**4 + f*m + q*m**2 + g + z*m**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the second derivative of 5*t**3\/6 - t**2\/2 + 13*t - 2. Calculate z(9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 51\/4 of a microsecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -83*z = 69*z - 304 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6731 and 1016?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/4 and -93\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 - -3.5. Let i = -0.8 + -7.2. Let w = i + 10. Which is the nearest to 1? (a) f (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.346368ml to litres.\nAnswer: 0.001346368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 0*h - 20 = -2*y, 2*y + 12 = 5*h. Suppose -3*r + h*r = 50. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*t - 103*t - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 729 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -55798595 or -55798598?\nAnswer: -55798598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h - s - 6 + 15, -1091070*h - 15*s = -1091072*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 220836 and 2744?\nAnswer: 21641928","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let x = -27 - -19. What is the closest to x in -1\/3, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (348\/(-377))\/(138\/(-39))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 - 4*w**2 - 5*w - 4. Let n be m(-3). Factor -i + 2*i + i**3 + 2*i**n + 0*i**2.\nAnswer: i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 351830 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 6 = -d. Let u = 11.25 - 9.25. Which is the closest to u? (a) 0.5 (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142103.\nAnswer: 13, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of -10*u**3 + 5\/4*u**4 - 10*u - 56 - 35\/2*u**2 + 2*u**5. Solve w(y) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -42.434 - 0.466. Round n to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1259 and 143.\nAnswer: -180037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 34*f**5\/3 + 28538*f**4\/9 - 1095116*f**3\/9 + 233752*f**2\/9 + 42704*f\/9 = 0.\nAnswer: -314, -2\/17, 0, 1\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 24*z + 308. Let o be q(-13). Sort o, -13, -247.\nAnswer: -247, -13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.3 (b) 4\/5 (c) -22 (d) -1\/3 (e) 366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(343) - -4*sqrt(343)*1) - (-5 + -1 + (1*sqrt(77))\/sqrt(11)).\nAnswer: -211*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yhwyvjav. What is prob of sequence wvy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 + 12*m - 5. Suppose 3*g - 52 = 4*d, -4*d - 5 = -1. What is the remainder when g is divided by k(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56 is divided by (-1722)\/(-91) + 2\/26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = 2*l + 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z\/z**(1\/9))*z*z*z\/z**(-2\/9)*(z**(-2\/3))**(-50) assuming z is positive.\nAnswer: z**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 27*d**2. Let v(u) be the third derivative of -u**7\/1260 - 3*u**4\/4 - 7*u**2. Let n(o) be the second derivative of v(o). What is n(z(b))?\nAnswer: -1458*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, s: 3, t: 10, r: 1}. Give prob of picking 3 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence arer when four letters picked without replacement from rrcracrrarrer.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gge when three letters picked without replacement from {g: 5, o: 7, e: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2553)\/(-552) - 9\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 168, 298, 442, 606, 796, 1018, 1278?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6 - (3 - (132 + -107 + (1 - -7)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is 168\/(-4620) + (0 - (-104)\/(-3190))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -283998441, -567996881, -851995319, -1135993755, -1419992189?\nAnswer: -1703990621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 25*r**2 - 134*r**2 + 81*r**2 - 254*r**2 in the form g*r**2 + d + q*r and give g.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 769192.7 millennia in decades?\nAnswer: 76919270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 184471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 e, and 2 d when four letters picked without replacement from sdeyeeddsyd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 l, and 2 f when four letters picked without replacement from lxfllflfmlf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 823250 and 1125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-21)*56\/32)\/(153\/306)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1\/3)\/((-6)\/(-18)). Let c(o) = 25*o**2 + 18*o**2 - 12*o**2. Calculate the remainder when c(g) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1303693\/9 - 144605. Let y = -250 + b. Put y, 2\/3, 11, -5 in decreasing order.\nAnswer: 11, 2\/3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -33a093 (base 12) to base 7\nAnswer: -10010304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - 2) + 27*4. Let t = 2 + z. Let d = t - 44. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 + -14. Let w = 7 + s. Let a = 0.058 + -0.258. What is the second biggest value in w, 5, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, 6, -21, -206, -31, 1 in descending order.\nAnswer: 6, 3, 1, -4, -21, -31, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -3*u + 2. Let f be o(0). Solve d = -3*g - 1 + 5, -f*g - 8 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1279 + -3802\/3. Which is bigger: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4*r + 3 - 19 = 0, 8 = 2*r. Let i = g + 2. What is the second derivative of -h + 0*h**2 + 3*h**i - 4*h**2 + 3*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2. Let c(j) be the first derivative of j**6\/72 + j**3 - 5. Let i(y) be the third derivative of c(y). What is i(s(l))?\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-20)*(-1)\/4*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/4)\/(-1)*22. Let z(o) = -o**2 - 11*o + 3. What is the lowest common multiple of 1 and z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4 - (248\/(-32) + 8)*-20. Let u(x) = -x - 2 + 1 - 4*x. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r - 5*r - 90 = 0. What is the lowest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -3*t**2. Let h(v) = 153*v**2. Calculate h(x(g)).\nAnswer: 1377*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-14)\/8)\/((-14)\/56). Suppose -5*f = -v*f + 70. What is the highest common factor of 315 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2*3\/(-36))\/((-2)\/10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (5 - 2) + (-8 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*w - 8 = 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (8 - (-3 + (-5 - -11))) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 2*m + 7568 - 1528, 5*p - 7565 = -5*m. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 4*c + 78. What is a(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 0.724 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z + 27. Let v be k(12). Suppose -4*n + 2*n + 8 = 0. Solve -w + n*w - v = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/788 and 93\/44?\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -39834 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.09 from -6.88494085.\nAnswer: -6.97494085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v - 10. Let c(p) = -5*p + 20. Let l(g) = 3*c(g) + 7*w(g). Let t be l(-8). Let b = -43\/5 + 81\/10. Is b at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/(-3)*(-2)\/(-10). Let r = 348 + -362.9. Let l = -11.9 - r. Which is the second smallest value? (a) -5 (b) l (c) 0.1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - -71 - (21 + 19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003124 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-107938)\/(-1740) + -62)*12)\/(1 - (-292)\/(-290))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3 + sqrt(48)*-6)*-5 + -1)*-1)**2.\nAnswer: -3840*sqrt(3) + 43456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 89.48452 centuries?\nAnswer: 8948.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -16*a - 1. Let y(r) = -24*r - 2. Let j(x) = 8*g(x) - 5*y(x). Calculate j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 266\/8 - (-1)\/(-4). Suppose 2*u - 5*y - m = 0, -4*u + 2*y + 3*y + 51 = 0. Solve -5*s = -u*a + 4*a - 10, 0 = 4*a + 3*s - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (568 - 998 + 730)*(0*t - 4*t + 2*t) - 2*t - 1 + t + 0*t.\nAnswer: -601*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 40820, 81566, 122352, 163178, 204044?\n\"Answer: 20*x**2 + 40686*x + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from bqpqqbbq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -2*z - 16, 3*z + 2*d = d + 4. Suppose u + 184 = -z*o + 5*o, 0 = -2*o + 5*u + 69. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 11111011101100011 (base 2) to base 15\nAnswer: 282b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Simplify (j*(j\/j**(-9\/8))\/j*j**(9\/7)*j)\/(j**(-16)*j**18*j) assuming j is positive.\nAnswer: j**(79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 10 = -l. Suppose -10*k - 74 = -l. Let z be -12*k*(1 - 0). Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/7, -0.3, -13, 0.6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*s + 270 - 10576*s**2 - 4*s + 10686*s**2 wrt s?\nAnswer: 220*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or -547328?\nAnswer: -547328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -433 (base 5) in base 7?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(77)\/((sqrt(84) + sqrt(84)*1)\/sqrt(12)))**2 + (sqrt(891) + sqrt(891)*-2 + 5 + -1)**2.\nAnswer: -72*sqrt(11) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of -1\/15*x**6 + 0*x**4 + 0*x**2 + 1\/7*x**7 + 43*x + 0*x**5 + 5\/2*x**3 + 0. What is the second derivative of q(l) wrt l?\nAnswer: 120*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 430827512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01741269766 to six dps.\nAnswer: 0.017413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -22*c**3 - 2*c**2 + 1. Suppose 0 = 5*t + 25, -a + 0*a - 5*t = 15. Suppose 5*i = -4*g + 3*i - a, 4*g = i - 1. Does 21 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 109 - 209 = 0. Suppose 0 = p - k + 6*k + 8, 5*k = 5*p - x. Suppose 5 = -f + 6*f. Is f equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 88, 235, 416, 649, 952, 1343, 1840?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2498 + 3108968?\nAnswer: 3108967.7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 m, and 2 f when four letters picked without replacement from {g: 3, f: 5, s: 1, v: 2, m: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -9601*d + 259077. Determine v(27).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 41.2 + -0.2. Let x = -41.2 + k. Which is the nearest to -2\/5? (a) x (b) -1\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 AM and 5:05 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -45*g. Let o(q) = -2. Let l(y) be the third derivative of -y**4\/24 + y**3\/6 - 2*y**2 + 14*y. Let a(m) = 2*l(m) + o(m). What is w(a(h))?\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - -1303341?\nAnswer: 1303346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-60)\/(-16) + 2\/8. Suppose v - m*u + 17 = 0, 2*v + u = 2*u - 6. Let x = v - -5. Let y(q) = q**3 - 4*q**2 - q + 5. Calculate y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -144*d + 74 - 74 as u*d + a and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 823 is divided by 119.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3601767 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 420695 + -222122. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - 6. Let q(a) = 7*a**2 + a**3 + 4*a - 745 + 749 - 2*a**2. What is q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.6 (c) -2\/3 (d) 4 (e) 27343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxqxxxxxyxxxxxxyqy. Give prob of picking 2 x and 1 y.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6907288 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 5*h + 4, 3*m - 2*h = -2 - 0. Suppose 0 = 5*v + 4*a - 42, -a = -4*v - 7 + 49. Let f be 2*(v\/4 + m). Sort 4, 5, f in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.1 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 45*l - 6. Let s(p) = 2*p**2. What is s(i(j))?\nAnswer: 4050*j**2 - 1080*j + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 14321443 (base 7) to base 5.\nAnswer: 321144212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2585, -5175, -7763, -10349, -12933?\nAnswer: -15515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -157 + 289. What is the lowest common multiple of y and 42?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -1 + 3 + 1 + sqrt(28)\/sqrt(4) + (sqrt(1372)*1 - sqrt(28) - sqrt(28)) + 2 + 2.\nAnswer: 3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -18*p + 7*p - 33*p**2 + 10*p + 3*p in the form v + l*p**2 + f*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -541*g + 179. Let y(o) = 16*o - 7. What is w(y(q))?\nAnswer: -8656*q + 3966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -4*r - 85, -3*y + 6*r + 80 = r. Suppose 110 = 5*p + 6*p. Suppose -9*h = -p*h + y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 8*z**2 + 5*z - 7. Let y(t) = -156*t**2 - 171*t**2 - 166*t**2 + 484*t**2 + 8 - 6*t. Determine -7*b(f) - 6*y(f).\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 168 and ((-279)\/(-279))\/(2\/192).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) -0.4 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**3 + 4*m**2 - m - 4. Let v(w) = -5*w**2 + 2*w + 5. Calculate 4*f(h) + 3*v(h).\nAnswer: 8*h**3 + h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15078118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 - 4 - 1 + 0 + 2 + 2 - 4 + 0 + (-3 + 0 + 4)*(1 - 1 - 2) + 0 - 6 + 2 - 1 - 2 + 2 + (3 + 2 - 4)*(1 + 1 - 3) + 4 - 4 - 2)*(-h**4 + 2*h**3 - 2*h**3).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 11:11 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 750, 616, 404, 102, -302, -820, -1464?\nAnswer: -2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 491*f - 824. What is the remainder when l(3) is divided by 191?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -20619, -40718, -60815, -80916, -101027, -121154, -141303?\n\"Answer: -l**3 + 7*l**2 - 20113*l - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 200650 (base 8) in base 4?\nAnswer: 100012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3\/2 + 423*v**2\/2 + 1539*v + 2220.\nAnswer: -3*(v - 148)*(v + 2)*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-5 - 2) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 PM and 4:36 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 139710 and 7230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vffgkggwcgkcgkgvfkvf. What is prob of picking 1 w, 1 c, and 1 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.833 + -0.513. Which is the second biggest value? (a) 0.075 (b) -0.3 (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 6*j**4 - 22*j + 6. Find the first derivative of q(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/(-20) + 1 + 4221\/(-28))\/(-4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 33020 (base 4) in base 14?\nAnswer: 4d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the third derivative of -40*s**2 - 1\/6*s**3 - 1\/60*s**5 + 2 + 0*s - 11\/24*s**4. Determine g(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 4*v - 8. Let l(n) = -15*n. Calculate l(f(j)).\nAnswer: -60*j + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*s + 2 = 32*s + 2*z, -17*z = s + 89 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*q - 2 - 1024*q**4 + 1025*q**4 + 2 - 2 - 3*q**2 to a*q**4 + s + z*q**2 + k*q**3 + i*q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 213*i - 436 wrt i?\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -2*q**5\/13 - 10684*q**4\/13 - 17196122*q**3\/13 - 7819726440*q**2\/13 - 1071384496200*q\/13 = 0.\nAnswer: -2361, -310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -118113 - -118118. Let l = -8 - -6. What is the fourth smallest value in -2\/13, y, l, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 551281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2\/3, -0.8, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the first derivative of 1\/15*o**6 + 0*o**4 + 0*o**5 - 1 + 0*o**3 + 0*o**2 + o. Let z(l) be the first derivative of y(l). Factor z(j).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 4*x**2 - 5*x + 13. What is j(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-22)\/55 - 164\/(-10). Suppose -86 = -3*s + 16. Suppose -5*h - s = -3*p, 3*h + 46 = 5*p - 0*h. What is the highest common divisor of y and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2145 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-10635350)\/(-154) + -4*3\/(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 22 - (-2 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 3*l**3 + l**2. Let z be o(-1). Let x(c) = -3*c**2 + 3*c - 2. Let r(n) = -8*n**2 + 9*n - 5. Let q(d) = -4*r(d) + 11*x(d). Determine q(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*l**4 + 671*l**2 + 9*l**4 + l + l**3 - 672*l**2 in the form x*l**4 + q*l**3 + r*l + i + o*l**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2*z**3 - 66*z**2 - 498*z + 47. Calculate a(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 15\/(-9) - -1 - 31568864330428\/195624. Let t = 1452376699\/9 + l. Let s = t + -8\/2717. What is the common denominator of 53\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(4\/(2\/(-1))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -337*k + 343*k - 42 = 0. Does 42 divide 708 + (5 - (6 - k))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 46*h**2 + 39*h + 37. Does 18 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 173*r**3 - 139*r**2 wrt r.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 2*j + 2. Let d be w(5). Suppose 4 = -i - 2. Let z = i + d. Solve -2*m = 4 - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1660 + -608. List the prime factors of m.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -131\/5328 and -41\/8880.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4\/5*d**5 - 104\/5*d**3 - 118\/5*d**2 - 40 + 42\/5*d**4 + 96*d = 0 for d.\nAnswer: -2, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (43578\/23403)\/((-5)\/(-145)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 130 + -127. Solve -m = -r*q + 6, 0*m - m = 4*q - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 102133 by -8.\nAnswer: -102133\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*p**2 + 9*p**2 + 4*p**2 + 7*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - -5)*(-1)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + ((-160)\/16 - (-33 + 0 + (-16)\/16))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 100*m + 12*m**2 + 36*m**2 - 50*m - 47*m - 2*m - 24*m**2.\nAnswer: 24*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of 10*p**8\/7 + 31*p**4\/6 - 185*p. Find the third derivative of g(x) wrt x.\nAnswer: 9600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*o**2 + 24*o**2 + 33*o**2 to x + w*o + p*o**2 and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 289\/20 + -61\/4. Suppose -5 = 5*g - 0. Let b = g + 6. What is the third smallest value in t, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + 0 - (-67 + 79 + -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k + 0*k + 243 - 4*k.\nAnswer: -2*k + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2088, 9144, 20952, 37512, 58824?\n\"Answer: 2376*m**2 - 72*m - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -132*i**4 + 7*i**3*v - 14*i*v - i + 28*v wrt i?\nAnswer: -1584*i**2 + 42*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4055 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-2\/21)\/(g*g**(-12)*g))**40)**(2\/137) assuming g is positive.\nAnswer: g**(16640\/2877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 149 - 95. Which is smaller: n or 60?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 1 = 7. What is the remainder when (10\/5)\/(t\/18) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 117, 176, 221, 246, 245, 212?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 - ((-8)\/2)\/1. Let s(r) = 16*r - 8*r - 9*r. Let d(g) = -14*g - 17. Let p(k) = x*s(k) + d(k). Let y(w) = 7*w + 8. Determine -6*p(j) - 13*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2521, -2304, -1941, -1432?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 2*c - 2*y - 6, 3*c + 3*y = 6. Are c and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 8:35 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u\/((u\/(u\/u**(-1))*u)\/u))**(-30))**(-3\/8) assuming u is positive.\nAnswer: u**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x + 9. Is 13 a factor of g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/2*4\/5. Let y(b) = 44*b**2 - 16*b - 7. What is the tens digit of y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001101110 + -1011001110000?\nAnswer: -1100011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g**2 + 546*g**4 + 44*g**4 - 594*g**4 = 0 for g.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 + 9*j**2 + 14*j - 2. Let t be d(-7). Let l be (((-2)\/((-1)\/1))\/t)\/1. Which is smaller: -17\/8 or l?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (75\/235)\/5*(-12)\/9. Are p and -0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l + 31. Let b(d) = -14*d**2. What is u(b(s))?\nAnswer: -28*s**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1 (c) -9 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 223 - 223.4. Let c = -19\/126 - 1\/14. What is the nearest to c in v, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 14*w**4 - 6*w**3 + 14*w**3 + 51*w**3 + w - 16*w**4 - 4*w in the form m*w**2 + g*w**4 + s*w + x + v*w**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of -15*n**2\/2 + 7. Let p be t(-2). Suppose -m + p = w, 4*m - 96 - 21 = -w. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -191*x**3 - 5*x**2 + 30*x + 101. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 38604, 38645, 38772, 39033, 39476, 40149?\n\"Answer: 8*v**3 - 5*v**2 + 38601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -969*i - 6136*i - 686985 + 686985. Let g(y) = -37*y. Give -385*g(a) + 2*t(a).\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 79 + 5?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - o = 0. Solve -2*y - 4*b = o, 4*y - 2*y + 5*b + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + c + 34 = 3*y, 5*c - 29 = -2*y. Suppose 2*b - y = -2, 38 = 3*m - 5*b. Solve 3*t - m = -4*n + 2, -5*t + 25 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5394 = -3*c - 3*r, 5*c - 9134 + 137 = 2*r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 105, 98, 91, 84, 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 4c44 (base 13) to base 5.\nAnswer: 321442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1358189 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 471986111.18 + 298.2.\nAnswer: 471986409.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 10, -189, -386, -581, -774, -965, -1154?\n\"Answer: g**2 - 202*g + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**2 - 3*o + 1. Suppose 15*h - 40 - 5 = 0. Calculate u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6603 - -16?\nAnswer: 6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the second derivative of -m**4\/12 - 4*m**3 - 14*m**2 - 28*m. What is the tens digit of w(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21934 + -21906. Let r(o) = o**2 - 20*o - 227. Calculate r(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -4, -2 in descending order.\nAnswer: -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 7:17 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vyyvyycyccccccvyc. Give prob of picking 1 v and 1 c.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 3*z + 1258 = -h, -5*h + z + 1582 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 4*j**2 - 168*j - 244. What is the thousands digit of r(111)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 14*v**2 - 13*v + 14. Let y be q(14). Let x be y\/(-6) - 2 - (0 - -1). Solve -4*a - x = -3*w, 5*w - 4*w = a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**2 + 6*o + 26. Let s be f(-10). Suppose 4*x = 5*x - 4*t + s, 3 = t. What is the common denominator of 64\/21 and 435\/20*4\/x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -101*c**3 + 2*c**2 - 11*c - 19. Suppose 207 = -38*u + 55. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*a - 41*a = -22*a - 1100 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(136) - sqrt(136))*-5 + sqrt(136) + sqrt(136) + (sqrt(136) - -6*sqrt(136)*2))\/(-6*(sqrt(512) + (-4*(sqrt(512)*1 + sqrt(512)) - sqrt(512)))).\nAnswer: 5*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2572381464 to the power of 1\/3, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 58316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 27*y**2 + 15*y. Suppose -6*k + 4*k = -2*c - 8, 0 = -2*k - 3*c - 12. Let f = k - 15. Let s(u) = 7*u**2 + 4*u. Calculate f*s(b) + 4*z(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*f - f - 10*f + (f + 0*f + f)*(-3 - 1 + 2).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 PM and 7:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111001110011101 + -1010?\nAnswer: 1111001110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be 16 + 560\/(-36) + 370\/18. Put 0, 5, 2\/9, w in decreasing order.\nAnswer: w, 5, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 5 - 4)*(4*a + 0*a - 2*a + (1 + 0 - 3)*(-2*a + 5*a - 2*a) + 2*a - 2*a - a - a + 0*a + 3*a - 3*a - 9*a - a) to the form i*a + j and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 4*h = -40, -46*g - 20 = -3*h + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - 1128*l**2 + 2274*l - 1147. Let i(h) = -376*h**2 + 758*h - 382. Let c(s) = 2*d(s) - 7*i(s). Solve c(w) = 0.\nAnswer: -190, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x + 51 + 12 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3382 = 4*i - 2*k, 11*i = 14*i + 4*k - 2553. Calculate the highest common divisor of 77 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 348\/261 - (-84467)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(36\/(-105)) - ((-793)\/156)\/(-61).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 40*g**3 - g - 1. Let o be m(-1). Let t be (6\/(-10))\/(o\/25). What is the biggest value in -4\/3, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -12*(-9)\/12 + -3. Suppose -3*f - 4*c + 15 = 0, -4*c + z = -f + 3*f. Suppose -o = f*o - 280. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -0*y + 44. Let k = -20 - -42. Calculate the smallest common multiple of k and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (237708\/(-5112))\/(1\/((-4)\/(-6)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/240 and 89\/100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - m - 1456 = -3*g, 891 = -3*m - 4*g. Let h = m - -291. Put 4, 1, h, -8 in ascending order.\nAnswer: -8, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11023 (base 5) to base 14.\nAnswer: 3c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v. Let t be n(-1). Suppose -t*g = g - 45. Let i(s) = -s**3 - 6*s**2 - 9*s + 2. Let m be i(-4). Solve -3*y + 2 = 2*j, j - 4*y = m*j + g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 18*b**2 + 15*b**2 - 32*b**2 - 7*b - 1. Determine g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-2 + sqrt(704))**2*-5 + 2.\nAnswer: -3536 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1025.344 microseconds in milliseconds?\nAnswer: 1.025344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 + 267d?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4218 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 207*v**3 - 3*v**2 + 4*v**2 - v**2.\nAnswer: 207*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -11*g**3 - 336*g**2 - 499*g + 204. Give i(-29).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b + 4*j + 36 + 8, -2*b + 2*j = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -61796*g**3 + 1814*g**2 + 5 wrt g.\nAnswer: -370776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 206 = -2*p + 220. What is the highest common divisor of p and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 114 and 60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 9*z + 4. Let b = -8 + 22. What is the remainder when m(4) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -56702 + 91?\nAnswer: -56611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2 + 2361529*q - 23615390.\nAnswer: (q - 10)*(q + 2361539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 12*i + 2. Let z(k) = -1. Calculate -4*y(d) - 8*z(d).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -145\/6 and -21*(((-528)\/81)\/(-2) - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 4 = -16. Let i(p) = 4*p**2 + 4 - 5*p - 2*p**2 - g*p**2. Let s be i(-5). Solve -3*x - 3*w = 0, 5*x + s*w + 5 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -63222074 or 23?\nAnswer: -63222074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 - 35 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56556037.\nAnswer: 56556037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56 + p - 61 - p - 155*p**2.\nAnswer: -155*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 74437630 to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y**2 - 20963886*y = 0. What is y?\nAnswer: -6987962, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 51*t**2 - 2*t = 0. What is t?\nAnswer: 0, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 3*k - 9. What is h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c + 2*q - 8, -2*c - 2*c - 5*q = 1. Solve 5*n = 4*d - c, 2*d = -4*n - 0*n - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 517 + -317. Suppose -31 + o = m. Let s = m - 96. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14061 and 1161?\nAnswer: 126549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -372.5, 1\/3, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -75939, -75796, -75685, -75624, -75631, -75724, -75921?\nAnswer: -76240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 629.08 + -637. Let l = o + 7.9200742. What is l rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -74 - 29) + -30?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 517 + -10855\/21. Let t(s) be the first derivative of -2\/7*s**4 - 8\/21*s**3 - 4\/7*s + 6\/7*s**2 + 1 + 12\/35*s**5 - w*s**6. What is c in t(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1357.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 6 - 2*u)*(1 - 3 + 8)*(2*u - 3*u - u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 76800012 = r. Suppose 22322425 = 5*a + 5*w - 9677560, 3*a - r = w. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (9 - 12 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 162\/11, -0.4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 82.89 - 84. Let g = -0.81 - c. Sort -2, -0.39, g, -1 in ascending order.\nAnswer: -2, -1, -0.39, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66900?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/13, -0.1, -1\/11, -837 in decreasing order.\nAnswer: 4\/13, -1\/11, -0.1, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -6*u + 3. What is o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 617068, 617069, 617070, 617071, 617072, 617073?\n\"Answer: s + 617067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*k - 80 = 51*k. Let y = 53 - 380. Let g = -199 - y. Calculate the greatest common divisor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -292, -291, -290, -289, -288?\n\"Answer: n - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 - 6*v**2 - v + 3. Suppose p = -0*p + 2*b + 10, 0 = -2*p - b + 10. Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 - 3*x**2 - x + 6. Let l be m(-6). Let n be (-1)\/(-4) + (-102)\/l. Sort -4, -3, n.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5*(-5)\/(50\/(-16)). List the prime factors of 438\/14 - c\/(-28).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -4445*p. Let o(a) = 5*a. What is o(w(y))?\nAnswer: -22225*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 6.846163 micrograms?\nAnswer: 0.000000000006846163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.1, -4, 0.54, -2\/9, 136\/21?\nAnswer: 136\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -335 = -4*n - n. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*y + 4*b - 8, 5*b - 15 = -5*y. Suppose -k = y*k + 360. Let f = k + 149. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -518 - -605. What is the highest common factor of 464 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a factor of 323485335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be -4*9\/(-12) - (-44)\/(-11). Is (-30 - -31)\/(m\/(-1))*6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of z**3\/3 + 1. Let l(p) be the first derivative of p**2\/2 - 2. Calculate g(l(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 21 and 20223.\nAnswer: 20223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + t + 9 = 2*k, -3*t - 3 = -3*k. Let b = 17 + -4. Calculate the remainder when (0 - 6)*2*k is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.761254 decades to millennia.\nAnswer: 0.00761254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 24 = 2*j, -2*j + 6 + 2 = 5*p. What is the remainder when (4*2)\/(j - 7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 w when three letters picked without replacement from {w: 1, q: 3, r: 4, e: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - -2. Suppose -15 = -3*l + o. What is the greatest common factor of 42 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -100 < 765\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 688 + -683. Solve 0 = 2*l + 2*o + 14, 3*l + y*o = l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the second derivative of b**6\/15 - 43*b**4\/12 + 10*b**3 - 38*b. Find the second derivative of i(c) wrt c.\nAnswer: 24*c**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 531 = -4*g + 543. Let x(c) be the first derivative of -3*c**g - 4 - 3\/4*c**4 - 3*c - 9\/2*c**2. Find o such that x(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -9227517 - 46*c**3 + 12*c + 9227517 + (-4*c**2 - c**2 + 3*c**2)*(3*c + 3*c - 7*c).\nAnswer: -44*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 PM and 4:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = y - 10, 42*f - 5*y = 40*f + 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -596*f + 4484*f - 451 + 453.\nAnswer: 3888*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 68701 and -3.\nAnswer: 68698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -33*b**2 - 10*b - 33. Let a be g(-3). Let j = 304 + a. Solve 0 = -j*f - 15 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-3 - -1) + 0)\/(8\/12). Sort 4, 2, 0, n in ascending order.\nAnswer: n, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58541872?\nAnswer: 2, 3658867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of -m**7\/280 + m**5\/120 + m**3\/3 + 3*m. Let r(b) be the second derivative of t(b). Find the second derivative of r(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 136761 and 192?\nAnswer: 136569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, e: 2}. What is prob of picking 4 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.4 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + (47 + -44 + 31 - 103)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -90 and -1076.\nAnswer: 96840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 22 = -4*z, 23*z - 24*z - 16 = -4*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/4 - (-9)\/132. Let q = -3.3 + 3. Let m = 5 + -2. Which is the second smallest value? (a) i (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (-19 - (-18 + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 142 = -290. Suppose -h - 2*j = 2*j + 74, -5*j = 25. Let m = h - g. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a*t**3 + 2*a*t - 93*t**3 - 10*t wrt t?\nAnswer: 6*a*t - 558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of -17*n**5\/45 - 23*n**4\/24 - n**3\/18 - n**2 - 58. Factor w(d).\nAnswer: -(d + 1)*(68*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.07 in -1, -4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 122169 or 1320?\nAnswer: 122169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3d - 43?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -4.204 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -329958, -659914, -989870, -1319826?\nAnswer: -1649782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 - -5 - 2\/2. Find the third derivative of -90*s + 90*s + g*s**2 - 8*s**3 wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -y + 2*z + z, 3*y - z - 11 = 0. Let w be (0 - -1)*(-6 + 8). Suppose -31 = -w*p - 5*o - 5, y*o - 16 = -p. Solve u - p = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 648 = -5*w - 2*d, 4*w - 532 = -5*d. What is the hundreds digit of (w\/(-24))\/(-8)*(2 + 661)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -1109*j + 1114*j - 8*q, -2*j + 32 = 4*q for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 100.4 + -108.4. Let b = -4 - -5. Let l = -0.7 + b. Put -3\/7, i, l in decreasing order.\nAnswer: l, -3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0635240108+0.02\nAnswer: 0.0835240108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2\/13, -1, -1280, -0.1.\nAnswer: -1280, -1, -0.1, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 4.0710061 to one dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = z + 8189456. Let o = -1994728 + z. What is o rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 21, 0, 1454 in descending order.\nAnswer: 1454, 21, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -3*m**3 + m**2 + 4*m + 3. Let v be z(-1). Calculate the highest common factor of 21 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uubuuubugbbu. What is prob of sequence bg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1345214591.\nAnswer: 7, 1511, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -59*q + 10. Let d(z) = -210*z + 36. Let w(l) = -5*d(l) + 18*t(l). Let c(g) = -39*g**2. Calculate w(c(a)).\nAnswer: 468*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 817*v + 812*v - 27 = -5, -93*d - 4*v + 1577 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 10*m**2 - 12*m. Let t be u(3). Let a = 63 - t. Solve -2*c + 3*c - 3*f + a = 0, -5*c = -2*f + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1955 + 1955 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1334*m**2 + 1 - 1 + 2004*m**2 to the form s*m + c*m**2 + a and give c.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 3*b**2 + b + 1. Suppose -4*d = -6 - 22. Calculate the remainder when d is divided by q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ggggggnn.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -356150*d**2 + 712298*d**2 - 356152*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 3*x = -7*x. Suppose x = -4*w - 5*h + 19, -w + 2*w - 3*h = 9. Solve -w*d + 9*d = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (10\/(-8))\/(2*(-15)\/20). What is the smallest value in u, 0.3, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(117)\/(sqrt(18)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 67 + -38. Let d = 117\/4 - b. Let m = -120 + 120. What is the smallest value in -2\/3, d, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 305 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y + 28 = -2*z, -2*y + 8*z - 3*z = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/4 + (-28)\/8. Which is greater: -16\/11 or s?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*q - 27*q + 3080 = 88*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -4*x**3 + 8*x**2 + 11*x - 4. Let z(w) = -5*w**3 + 7*w**2 + 10*w - 3. Let v(u) = 4*q(u) - 3*z(u). Calculate the remainder when v(12) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7520 + -300689\/40. Let s = 168 + -2701\/16. Calculate the common denominator of i and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*645*(-24)\/720.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18937 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 495010 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 - 5*j + 4. Let u(n) = n**3 + 6*n - 4. Suppose -84*f = 5*f + 534. Give f*k(y) - 5*u(y).\nAnswer: y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -184875 and -233.442.\nAnswer: -185108.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 393 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0 - (9 + (9 + -7 - 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of -z**7\/21 - 7*z**6\/75 + 3*z**5\/50 + 7*z**4\/30 + 2*z**3\/15 + 28*z. Let h(c) = 0. What is c?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 8 = 2*i, 4*y = -8*i + 4*i. Let j be y\/(-22) + 201936\/(-132). Round j to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -67 - 0 - (-31 + 66 + -37 - (-9 - 2)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -11, -5 in increasing order.\nAnswer: -11, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19155, -19520, -19885?\nAnswer: -20250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.67181294 to four decimal places.\nAnswer: -0.6718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**3 - 12*r**2 + 17*r - 7. Suppose -5*m = 5*o - 155, -o = -m - 0*o + 35. Let g = 44 - m. List the prime factors of v(g).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of c**7\/840 + 7*c**6\/240 - c**5\/5 + 17*c**4\/12 + 16*c. Let r(a) be the third derivative of t(a). Factor r(z).\nAnswer: 3*(z - 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*d + 40 - 241 + 157 + 44.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -588398*o*r - 185*o - 1627 wrt r.\nAnswer: -588398*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*c**3*u**4 - c**3*u**2 + 266*c**2*u**2 - 2*c**2*u - 103*c**2 - 15250*c*u**5 + 2*c*u**2 wrt u.\nAnswer: -72*c**3*u - 915000*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3689, -3687, -3685, -3683, -3681, -3679?\n\"Answer: 2*f - 3691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (175 - 17145\/54)\/(3\/(-24)*10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*3*sqrt(20) - sqrt(20))\/((1*sqrt(48))\/sqrt(12)))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -64, -3, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4777214?\nAnswer: 2, 13, 43, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 345 + -339. Let p(j) = -j**3 + 6*j**2 + 2*j - 2. Determine p(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vfpvdpivzpvpppziivz. Give prob of picking 1 p and 1 v.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.0398 and 2865.9994.\nAnswer: 2866.0392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -350.9*-0.14\nAnswer: 49.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 9 = 4*g - 21, 0 = 5*b + 3*g - 9. Suppose b*l = l - 2. Suppose -24\/7*k**3 + 0 + 0*k**l + 32\/7*k**4 + 2\/7*k = 0. Calculate k.\nAnswer: -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16 + 6 - 4*f - 3*f**4 + 5 + 9 to the form n*f**2 + x*f + c*f**3 + u*f**4 + b and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u, 3*y + 48 = 6*y + u. Suppose 3*p - 4*i = y, 5*p - i + 3*i + 8 = 0. Solve p = 5*k + 18 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j**2 - 3. Let r(f) = -f**2 - 1. Determine -3*q(o) + 5*r(o).\nAnswer: o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(539))**2 + sqrt(539))*3 - (3 + sqrt(539) + -1)**2) + -4 + -5.\nAnswer: -7*sqrt(11) + 5916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 - 11059*a - 198647. Calculate c(-18).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2634 less than 0.001?\nAnswer: 0.2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -33, -61, -89, -117, -145?\n\"Answer: -28*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 71 = -2*n, 5*n - 5 - 10 = -v. Suppose 4*k = 5*r + 17574 + 4455, -5*r = v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 1 = d, 5*m - 4*d - 7 - 34 = 0. Let j be (-3 + 7)*(m - -22). What is the common denominator of 1\/20 and (-381)\/j + (-2)\/(-3) - -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -3*sqrt(605) + 5 + -2.\nAnswer: -33*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -160815*h + 2718. Let z(q) = -473*q + 8. Calculate -4*a(i) + 1359*z(i).\nAnswer: 453*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -2*j**3 + 8*j**2 - 6*j - 49. Let s be d(7). Is s at least -386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 4, 1 in increasing order.\nAnswer: -15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -l**4 + 131*l**3 + 1149*l - 397461?\nAnswer: -4*l**3 + 393*l**2 + 1149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 17011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -37, -42, -47?\n\"Answer: -5*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3363 - -67?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117*s = -43*s + 320. Let t = -3 + 5. Suppose -t*q = -5 - 3. Solve -s*o + 0*d + 14 = -2*d, q*d + 22 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, -20, -16, -36.\nAnswer: -36, -20, -16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011100001100000 + -11000?\nAnswer: 1011100001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/4))**(3\/8)\/(d\/d**(-7)*d**14) assuming d is positive.\nAnswer: d**(-701\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1543881 is divided by 30272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29355, -29515, -29675?\nAnswer: -29835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1489 - 949. Let a = v + -217. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-40*z**2 + 6*z**2 + 4*z**2)*(-2 + 25 - 5 - z**3).\nAnswer: 30*z**5 - 540*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3310310331203 + -3?\nAnswer: -3310310331212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 + (-5 - (-28 - -80)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a + 39. Calculate the remainder when p(-15) is divided by ((-319)\/87)\/(1*2\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*w = 33*w - 8686. Calculate the highest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5466244 and 4008.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {p: 7, k: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 101011100001001100101 (base 2) to base 5\nAnswer: 331113041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 25 * -14.0321\nAnswer: -350.8025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1732 = 1315*c - 25883 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 25773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 21981682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19313715\/17 + -1135787. Let t = d - 314. Let j = t + 55\/34. Is j less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (45080\/525)\/92 + (4\/6)\/(-2). Which is the closest to 1? (a) 43 (b) 2\/7 (c) i (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*c - 2*c + 2*c.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t**2 - 5*t - 5. Let n(h) = h**2 + h + 1. Let u be 6\/(-10) + (-56)\/(-10). Let c(i) = u*n(i) + j(i). Let q(s) = s**2. Calculate c(q(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f + 5*f + 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -q**4*u**2 + 3556*q*u**2 - 142*q - 5*u**2 - 9*u + 373 wrt q?\nAnswer: -4*q**3*u**2 + 3556*u**2 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165378?\nAnswer: 2, 3, 43, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 94\/141*3\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(288) + (sqrt(288) + -3)*-5.\nAnswer: -48*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0224 take away 120?\nAnswer: -119.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-264)\/96*-4 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {v: 2, r: 5, h: 1, k: 6, t: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -96 (b) -1\/13 (c) 0.1 (d) 3\/4 (e) 4 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f - 7. Let y be v(-11). Suppose 4*g - 3*g = y. Suppose 50 = g*d + d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (65 - 104) + -28 + 2 + -4 + 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3087)*-2)\/(1*sqrt(81)) + (sqrt(105)\/(-1*sqrt(5)))\/(sqrt(108)*-2).\nAnswer: -55*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 498*g + 71. Let f be s(3). Suppose 2*t - 7*t - 3*n + f = 0, 5*t - 1525 = 5*n. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4539 + 4843 = -38*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 divided by 19.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -174 - -205. Let w = c + -24. What is the second biggest value in w, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) 4\/9 (c) 4\/5 (d) -5\/20969 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -62102920, -62102922, -62102924?\nAnswer: -62102926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of 2*b**3\/3 - 83*b + 6. Differentiate q(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from yqwey.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**4 + 3*d + 5*d - 4*d**2 - 15*d. Let j(z) = 2*z**4 - 3*z**2 - 7*z. Let u(q) = 4*j(q) - 3*w(q). What is the second derivative of u(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9197201, -9197225, -9197249, -9197273?\nAnswer: -9197297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11b - -64?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/13)*z*z**(-5)*z)\/(z**0\/z*z)**(-50) assuming z is positive.\nAnswer: z**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -57 and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 2 + 4)*(y - 4*y + 5*y)*(4 - 4 + 2) in the form a + d*y and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - -6be797?\nAnswer: 6be79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 18. Let r = -12 + z. Suppose r*u - 406 = -u. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -h + 5*t - 1140, 3*t = -h + 572. What is the remainder when h is divided by 82?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.13 (b) -1018 (c) 4 (d) -3\/2 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-244)\/610*5\/2)\/((-1)\/(-23))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the third derivative of -q**4\/12 + 19*q**2. Let c(u) = 2*u - 53. Determine h(c(k)).\nAnswer: -4*k + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*c - 1724*c + 43475 = 0 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 168 - 837\/5. Let c = -808.2 + 808. Let m = 4.1 - 4. Sort c, q, m in increasing order.\nAnswer: c, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 592 - 792 = 0. Calculate the remainder when 158 is divided by q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 294? (a) 3.1 (b) 88 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57*c**3 - 82749 - 4*c**2 + 82750 - 69*c**3 to the form o*c**2 + r*c + h*c**3 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -8142, -16277, -24412, -32547?\n\"Answer: -8135*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 898*p = -1487*p + 823*p - 38378 - 6920 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 261*b**2 + 5. Let v be f(2). Let d = v - -93. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -24*z**2 + 3*z + 4. Let d be t(-2). Let l = d + 38. Let g = l + 241\/4. Which is the smallest value? (a) g (b) -7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59066141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -43 - -71. Suppose -5 + 3 = s - 3*b, s + b - 14 = 0. Suppose 0 = -48*t + 47*t + s. What is the remainder when m is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 370058112 a multiple of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 61611 and 165.\nAnswer: 308055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffzzzyzzlffffffc. Give prob of sequence zl.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 - 3. Let n = -3\/563 + 1316\/141313. Let f = n - 258\/1757. Which is the biggest value? (a) f (b) -1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.54 + -4.54. Let f(o) = o**3 - 4*o**2 + 4*o. Let w be f(4). Suppose 3*n + w = -5*n. Which is the biggest value? (a) n (b) 1\/12 (c) -6\/11 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-32))\/(((-1)\/(-2))\/((-202)\/(-1010))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(-2)\/4*(-87 - -87). Let v(b) be the third derivative of -7\/90*b**5 + 5\/18*b**4 - 13*b**2 + a*b - 1\/3*b**3 + 0. Factor v(w).\nAnswer: -2*(w - 1)*(7*w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/((-41984)\/(-615)))\/((-180)\/216).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*v + 0 + 5 - 4.\nAnswer: 40*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 55*u**2 + 423*u + 224. Determine k(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o**2 - 1. Let m(y) = y**3 - 8*y**2 - 4. Suppose -25 + 4 = -3*n. Suppose x + n - 5 = 0. Determine x*m(r) + 9*j(r).\nAnswer: -2*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -2\/9 (c) 64 (d) -46 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.7 - 5.3. Let o = p + 11. Let m = 5.1 - 0.1. Which is the smallest value? (a) o (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 132337 + -93469. What are the prime factors of v?\nAnswer: 2, 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 439456445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 66710823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/7 + 172970594*j\/7 + 7479706597178209\/7.\nAnswer: (j + 86485297)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 - 3*m + 2. Suppose -4*j + 7 = -z, z = -3*z + j - 13. Let l = z + 6. Give i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 187356 + -5?\nAnswer: 187351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from dbzjyqqdz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -710, -1392, -2056, -2696, -3306, -3880, -4412?\nAnswer: -4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.3 + -2.3. Let a be (16\/20)\/((-2)\/25). Which is bigger: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1*sqrt(684)*2 - ((sqrt(684) + -2)*1 + sqrt(684))))**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20*n**4 + 274*n**3 - 24084*n**2?\nAnswer: 480*n + 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 142 - (41 + -137 + 184)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -30068820 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is v in v**5 + 191*v**4 + 1110*v**3 - 54*v**2 - 10071*v - 14985 = 0?\nAnswer: -185, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86434*-0.6.\nAnswer: -51860.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqqy when four letters picked without replacement from yyqyqqhyqyhyhz.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*x + 12 - 12)*(0 - 3 + 2)*(2 - 2 + 1)*(-502 + 502 - 63*x).\nAnswer: 504*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -62*z**2 + 16693*z - 4030. Give b(269).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -420 = -b - 3*b. Suppose -31 + 13 = -j - 2*j. What is the least common multiple of j and b?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 5) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + -c?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(2\/7))**32 assuming a is positive.\nAnswer: a**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2925761 is divided by 31125?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 91*n**3 - 3473 - 3462 + 6935.\nAnswer: 91*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (14 - (-567)\/(-135)) + 12\/10. Let x(t) = 13*t**3 + 11*t + 4. Let b(j) be the first derivative of -7*j**4\/4 - 3*j**2 - 2*j - 1. What is u*b(i) + 6*x(i)?\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 282251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1))**(2\/3)\/(p**2*p\/(p\/(p*p\/(p*p*p**6*p*p))*p))*(p**(1\/3)*p)**(-21)\/(p**3*p\/(p\/p**4)*p) assuming p is positive.\nAnswer: p**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3183599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l = 6*l - 5621. Let j = 9312 + l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1692)\/658*126\/243\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -1\/4 (c) -935\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.06, 45, -1197\/5, 1, 0.3 in descending order.\nAnswer: 45, 1, 0.3, -0.06, -1197\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -10 - 26*t + 10 in the form b*t + l and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 806129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23 - 3. Let g be 18\/6*(-4)\/48. Is c at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - (6 + -6)) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -1429521\nAnswer: -142952.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 504 a factor of 29326752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6*5\/((-45)\/6). Let r = -10543 - -10544. Let g = 1 + -1.2. Which is the nearest to 0? (a) r (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -1)\/(0 - 1\/(-12)). What are the prime factors of (-10 + j)\/(-2 - 1066\/(-532))?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 - 22*z**2 + 61*z + 40. Calculate c(-24).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m**2 - 444*m - 59048. Let q(i) = i**2 - 42*i - 1. Let k(d) = -q(d) - y(d). Determine a, given that k(a) = 0.\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + c - 3 = 5*c, 5*j = -2*c + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -66*f**2 - 27 + 62 - 35 + (9*f + 28 - 28)*(4*f - 2*f + 8*f).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8125, 7685, 7219, 6715, 6161?\nAnswer: 5545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -58 divided by 3\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes after 6:04 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 21*a**2 - 1. Let v be h(1). Suppose w + w = v. Let i be 0 + -2 + (-160)\/(-5). What is the greatest common factor of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/(-1)*24\/30. Let a(x) be the second derivative of 0 + 0*x**k + x + 0*x**3 - x**2 + 1\/10*x**5. What is the derivative of a(f) wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -283 at most as big as -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 2510, 4, -5, -9607 in ascending order.\nAnswer: -9607, -5, 4, 2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 3*x - 2, 3*x = 4*x + 5*o - 26. Suppose -2 = -j + x. What is the highest common divisor of 88 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 h when three letters picked without replacement from {d: 1, n: 1, h: 1, e: 2, t: 2, l: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -2.563714 rounded to three decimal places?\nAnswer: -2.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 11 + 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 13167.41 centuries?\nAnswer: 131674.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.1 (c) -0.4 (d) 0.58 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from iiixqllqxilqqiiqql.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 6*f. Let g(c) = -315*c - 16365. Give g(s(t)).\nAnswer: -1890*t - 16365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -78 - -94.1. Let w = 16 - k. Which is the biggest value? (a) -4 (b) w (c) -5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, d: 8, e: 2, w: 4, p: 2}. Give prob of sequence ede.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4 - (1666\/189 + -6). Which is bigger: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(2) + (-5*(sqrt(2) + (sqrt(32) + sqrt(2) - sqrt(2))))**2) - sqrt(2))*6.\nAnswer: -7500 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 4*x - 6. Let y(t) = 12*t - 176. Let u be y(15). What is z(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from ddduuoudwuwddwdwx?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1155, 1152, 1147, 1140, 1131?\n\"Answer: -g**2 + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 9, z: 2, g: 1, n: 8}. Give prob of sequence gnr.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -8 (c) 2\/123 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 1364*d**3 - 10920*d**2 + 21888*d - 128.\nAnswer: 4*(d - 4)**2*(341*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4055873.\nAnswer: 19, 213467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 330.4282ns in microseconds?\nAnswer: 0.3304282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 - (12 - (-13 - -13)) - (16 - (-7 - -5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k + 4. Let r be i(-4). Suppose -j = -2 - r, -2*m = -j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 2*b**3 + 16*b**2 - 1018*b - 7063. Calculate t(-7).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1332 and 33.\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 7 = 5. Let f = i - -6. What is the derivative of 131*l - 135*l + 2 - f wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 6279174*w**5\/7 - 65955879*w**4\/7 + 24705015*w**3 - 132538086*w**2\/7 + 516252*w\/7 - 72 = 0.\nAnswer: 2\/1023, 3\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is i in 3*i**3\/7 - 2028*i**2\/7 + 333072*i\/7 - 16096320\/7 = 0?\nAnswer: 108, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 29485 or 29488?\nAnswer: 29488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-36)\/27)\/((-14)\/(-3)). What is the nearest to d in -4, 73, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8cf + -5?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -18 - 6*n + 6*n + 39*n**2 + 12 as w*n + i + o*n**2 and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -58 (b) -1 (c) -5\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -380277 or -380274?\nAnswer: -380277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 180, 20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-16)\/(-40) - 38\/(-5). Suppose 0*q - 2*q + l = 0. Let s = 2 + q. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21211012 - -120100?\nAnswer: -21020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/5)\/(2\/(-20)). Let p be 6\/45*-6*5. Is c - (-3)\/6*p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*b = 26*b - 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 5*n**2 + 6*n - 3. Let m be z(4). Suppose m*l - 55 = -3*j, 0 = -j + 5*j + 4*l - 84. Solve -7*i = -2*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z - 0 - 10, 2*z = 2*s - 14. Let u be ((-4)\/21)\/(12\/(-14)). Solve -u*f**5 + 0 + 0*f - 2\/9*f**s + 2\/9*f**3 + 2\/9*f**4 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1876 by 2128.\nAnswer: -67\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 3, 111, 0, -8 in increasing order.\nAnswer: -8, -1, 0, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**3 + 64*a**2 - 1001*a - 5. Calculate b(-77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, -122, -210, -298, -386, -474?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 - 4*s**2 - 2*s + 6. Give z(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 12 = -2*i, 2*i + 18 = 3*i + 5*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33 - -43. Suppose -f = -4*j + 2. Solve 0*d - 17 = -3*d + 5*p, j*d + p = 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2438 and 5077559.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + t - 10 = 51, 4*t + 56 = 5*r. Let v be ((-2)\/r)\/((-11)\/(-22)). Let k = 1 + 0. What is the third biggest value in v, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 87 = -2*y + 68, -4*n = 20. Let o be ((-16)\/20)\/(3\/y). Let r = o + -120. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -7*w**2 + 10*w + 20. Let r be v(-5). Let m = 310 + r. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 12 = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 0*z + 6*z - 4*z + (4*z - 3*z + 0*z)*(6 - 2 - 2) + 3*z + z - 2*z + 3 + 5851*z + 2701*z - 11753*z in the form r*z + v and give r.\nAnswer: -3195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-28)*-2*(-7)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 - -18. Is 14\/g + (-2257)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 7*q = -20. Suppose -q*u + 6 = -2*u. Suppose 0 = -5*d + 4*m + 25, 6*d - 3*m - 10 = 4*d. Put 4, d, u in decreasing order.\nAnswer: d, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 29*p**3 + p**2 - 2*p - 2. Determine w(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the second derivative of j**5\/15 - 7*j**3\/6 - 2*j**2 + 3*j. Let i(b) be the first derivative of u(b). Differentiate i(n) with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*6\/(-1*2). Suppose d*b - 12 = 4*y + 15, -45 = -5*b - 5*y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2041 (base 14) to base 6.\nAnswer: 41401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.7 - 0.3. Let i be 24\/(-7)*26\/(-104). Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 1\/3, -0.2, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 4 - 5)*(4 + 5*q - 4) - 4 - 112*q - 109*q + 227*q.\nAnswer: 21*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 9, -2, 1, -11 in descending order.\nAnswer: 9, 4, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1088 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 - -12. Let n(m) = m**3 + 3*m**2 - 4*m + 5. Let h be n(o). Suppose 28 = 3*r - r - 4*c, 5*r - 45 = h*c. Solve 1 = -r*v - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -22.3 * 0.4\nAnswer: -8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 10, 23 in ascending order.\nAnswer: 4, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l**2 + 5*l - 6. Let u(f) = -3 + 0*f**2 - 7 + 6*f**2 + 1. Let q(c) = 5*c**2 + c - 8. Let h(d) = 4*q(d) - 3*u(d). Determine 5*h(x) - 4*s(x).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 + 5*j**2 + 6*j + 3. Let d be k(-4). Let s = 26 - 24. Let w = 0 - -5. Sort s, w, d in decreasing order.\nAnswer: w, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1)*(n*n**(-3)*n*n)\/n)**(-42)*((n\/(n**0\/n))**(-13))**(-4) assuming n is positive.\nAnswer: n**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 4*d**2 + 3*d + 3. Let p be y(-3). Let k(i) = 2*i**3 - 3*i**2 - 3*i - 4. List the prime factors of k(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 152, 102530, 3 in descending order.\nAnswer: 102530, 152, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 44504053991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18\/4337 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of -1\/14*v**4 + 16\/7*v + 4\/7*v**2 - 4\/21*v**3 + 14. Factor g(l).\nAnswer: -2*(l - 2)*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -884*f + 878*f - 2070*f + 437580 = 3534*f for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 4*y**3 + 5510960*y**2 + 1898161996628*y - 3796346037128 = 0.\nAnswer: -688871, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 - 7. Let p = -9\/2 + 4. Let v = 0.3 - -0.7. Which is the second smallest value? (a) q (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -5*h - 5, 0*f + 5*h = -3*f. Let u = f - -1. What is the remainder when 9 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(2450) - sqrt(2450)*-3))**2 + 2.\nAnswer: 627202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3 - 5*m - 3 + m**2 - 6 + 2. Let t be r(6). Let s be 22\/5 + t\/(-5). Solve -5*a - 6 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 59 and 1111.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(5\/4)*l\/(l**(4\/7)*l*l))\/((l*l**(-1)\/l)\/l*l*l*(l\/l**7)\/l))**(-2\/41) assuming l is positive.\nAnswer: l**(-187\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {h: 1, l: 1, x: 3, m: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 9:26 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8*(-5)\/120)\/(14\/63*15\/790).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 3*m + 11, c - 5 + 4 = -m. Suppose -4*b = 4*s - 8, 4*s - 26 = -c*b + 7*b. What is the smallest common multiple of 1 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**2 + k + 4. Let c(r) = 2*r**2 - 3*r - 9. Let l(b) = -2*c(b) - 5*j(b). What is l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/65 + 518\/13. Let d = 38 + j. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -96.841?\nAnswer: 38.7364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2662) + (sqrt(2662)*-2 - sqrt(2662))*5 + 2*(sqrt(2662) - 2*sqrt(2662)))\/((-3*1*sqrt(132))\/(sqrt(192) - sqrt(192)*-2)).\nAnswer: 704*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -661811, -661805, -661797, -661787, -661775, -661761, -661745?\n\"Answer: a**2 + 3*a - 661815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1396618?\nAnswer: 2, 17, 41077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**3 + 2*w**2 + w. Let k be l(2). Let b(h) = -5*h. Let t be b(-3). Suppose -c + k = -t. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 7500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 229*k**3 - 17 + 2*k - 2*k - 35*k**3 + 16 to g + r*k**3 + n*k + u*k**2 and give r.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 3*m**2 + 9*m - 4. Let q be (14\/(-4))\/(1\/2). Let t be z(q). Suppose 9*g - 4*g - t = 0. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 11:39 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3500342 + 163?\nAnswer: 3500535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiioc. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(135)\/(sqrt(27)*-2))\/(sqrt(99)\/sqrt(99) + (sqrt(9) - (-1*sqrt(9) + sqrt(9)))*-5) + -5.\nAnswer: -5 + sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 817176?\nAnswer: 2, 3, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**2 - 62*u - 768. Does 22 divide a(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from 7679398.2547.\nAnswer: 7679394.2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1374240 and 62720.\nAnswer: 76957440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1950 (b) 2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -302818236 divided by -514997\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*((-2)\/4)\/((-1)\/24). Suppose -r = -5*m + m. Suppose 31 = m*b - 11. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2112 - 2?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*f - 56 = -19*f. Let s(x) = -x**2 - 6*x + 13. Let o be s(f). Suppose -q + 5*q - 8 = -2*b, -2*b = -3*q + 13. Solve -6*p = -q*p - o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*j = -2*g - 21*j + 13, 0 = 2*g + 5*j - 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -215, -450, -697, -962, -1251, -1570, -1925?\n\"Answer: -s**3 - 228*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-1*sqrt(3) - sqrt(3))**2 + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 113483*p**2. Let r(q) = -2*q**2. Give c(r(t)).\nAnswer: 453932*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 566535725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 1:45 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 11 = i, -l + 5*i + 15 = 4*l. Let m be ((-7936)\/l)\/((-4)\/6250). Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -69 + -71?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66100080 divided by 69360.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 255678 by 85.\nAnswer: 255678\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 23 = 5*y + 2*a, 5 = 2*y + 5*a. Let p(w) = y*w - w + 5 - 2*w. Let f(m) = 6*m + 14. What is 4*f(o) - 11*p(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q**2 - 7*q + 14. Determine g(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -701321 + 25?\nAnswer: -701274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-30) - 8\/24. Let s = 236 + -160. Let t = s - 78. Put t, -2\/15, 0, n in decreasing order.\nAnswer: 0, -2\/15, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2573 divided by 44301.\nAnswer: -2573\/44301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.081005668751 and -7.\nAnswer: -6.918994331249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 90721944991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 + (4 - 10 - -58). Calculate the greatest common divisor of q and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 88 and 19597.\nAnswer: 1724536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/18 - 2\/12. Let u be 15\/(-50)*(2 + v). What is the third smallest value in u, 2\/23, -1\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 2*c + c = 21, -5*q = -3*c - 103. Let o be (-2)\/8 - (-25)\/q. Let s be 10\/(-5440)*-4*(4 + -6). Is s smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v. Let j(h) = 6*h + 2. What is -j(i) - z(i)?\nAnswer: -7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 5*x - 17 = 0. Let r = 17 + x. Let m be (-490000)\/42*(r - 60). What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -57 + 111 + 2*o - 49. Let v(y) = -4*y**2. Determine v(g(d)).\nAnswer: -16*d**2 - 80*d - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.337? (a) 1\/15 (b) -22 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.025 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -77874, -155748, -233622, -311496, -389370?\n\"Answer: -77874*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5898.708mg in kilograms?\nAnswer: 0.005898708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/19, 2, 4, -5, -3, 0.3 in descending order.\nAnswer: 4, 2, 0.3, 2\/19, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (19 - 8*a - 19)*(-37 - 53 + 12).\nAnswer: 624*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 95*w + 93. Let u(p) = -54*p - 47. Give 5*u(o) + 3*x(o).\nAnswer: 15*o + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 AM and 6:13 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/23472 and -93\/44336?\nAnswer: 399024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 20*o - 23*o. Solve -3*y - b - 11 = 0, -3*y = 2*y - 3*b - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1338008200 from 0.5.\nAnswer: 1338008200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 10*m + 18. Solve s + m*j = -9, -s + 3*j = 3*s - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 741*u = 743*u - 2*k - 20, -5*k = -4*u + 48 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11.4 + -3.6. Let t = m + 16. Which is the closest to 0.1? (a) -3 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 2 + 0 = 0. Suppose -4*g - 236 = -3*o, g - 4*g + 163 = q*o. Factor i - 3*i**2 - 16*i - o + 68.\nAnswer: -3*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 236 or 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**2 + a**2 + 0*a**2)*(4 - 2 + 2).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4229.98 + -4230. What is the nearest to -2\/3 in w, 3\/5, 0.09, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 12:28 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + m - 2*m = -1, 2*m = 2*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(6*sqrt(136)*2 + -6*(sqrt(136) + -1*sqrt(136))))\/(-5*(sqrt(32) + (sqrt(4608)*2 - sqrt(4608)))) + 2.\nAnswer: -24*sqrt(17)\/65 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-59 - 36) + 55 - -18\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -812, -7604, -26036, -61928, -121100, -209372?\n\"Answer: -970*f**3 - 2*f + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - t = 3*t - 88, 2*v - 3*t + 43 = 0. Let x = 59 + v. Suppose 0*j + x = 4*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -171.461 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 270*t - 91*t + 1 + 1 + 6*t**2 + 0*t**2.\nAnswer: 6*t**2 + 179*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 9:20 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 6*g - 9. Suppose 0 = -3*t - g, 5 = -3*f - 4*t + 19. Let n(s) = s**3 - s**2 + s. Let u be n(0). Solve f = 2*b, u*b = -2*h + 2*b + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 1917770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r**5 + 40071*r**4 - 40011*r**3 - 761439*r**2 + 1963422*r - 1202040 = 0.\nAnswer: -5, 1, 2, 3, 13356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s - 10*s + 3*g = 75, 3*g + 159 = -4*s. Sort 5, -1, s in decreasing order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -6. Suppose -5*q = -5*s + 30, 3*s = -q + a - 1. Suppose j + 76 = 3*t - j, -s*j - 98 = -4*t. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2679.929 to the nearest integer.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15 - 44 + 27 + 18*w to the form u + g*w and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the third derivative of z**5\/20 - z**4\/24 - z**3\/6 - z**2. Suppose 3*g + 10 = -d + g, -5*d - 5*g - 30 = 0. What is the units digit of s(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 664753 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -z**4\/7 - 105081*z**3\/7 + 420339*z**2\/7 - 15013*z - 630510\/7 = 0. What is z?\nAnswer: -105085, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 174*w. Let d(r) = 66318*r**2 + 2. Calculate m(d(b)).\nAnswer: 11539332*b**2 + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 67 >= 67.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 8)*(-2*o + 1 - 1).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -374*m - 389*m - 105 = -658*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35208 divided by 4.\nAnswer: -8802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4, 5\/3, -5, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17280 and 10044?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, -2, -83, -1.\nAnswer: -83, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 28642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 12\/3049945 and -50\/65268823?\nAnswer: 326344115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z + 3 = 13*z. Let r(g) = -4*g**2 + z - g**2 + 769*g - 767*g. What is r(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 9*p - 12*p - 3*y, -3*p + 12 = 2*y. Solve -3*n - 3*j = -6, n + p = -5*j + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2934 divide 246708338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -238*l + 4 + 1 + 2*l**2 - 3 + 242*l.\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2216837, -4433686, -6650541, -8867402, -11084269?\n\"Answer: -3*f**2 - 2216840*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 11*i**2 - 30*i + 46. Calculate k(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + 33. Let u be 4\/(-4 + 0) + i. Suppose o - 4*h - u = 0, -10 = h + h. Solve -r + o = -3*g, 0 = 2*g + 2*r - 5*r - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -338a54 (base 11) to base 13\nAnswer: -15b440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 15*p**2 - 14*p + 21. Let o(z) = 7*z**2 - 7*z + 10. Let c(d) = -6*m(d) + 13*o(d). Determine c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (91 + 91 - 169)*(6 + 3 + 3*i - 6) as l + s*i and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -119*l**3 - 7*l - 10. Determine h(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1257440 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -149 > -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 774 and 1032.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 272\/65 or 4?\nAnswer: 272\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 10*g**2 - 10*g + 8. Let o be 15\/(-45) + 8\/6*7. What is k(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -7*b**4\/12 - b**3\/2 + 19*b**2 - b. Let i(s) = -9*s - 2. Give 8*i(g) - 5*m(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(13) + -1)*-3)**2 - 3*(sqrt(143) + sqrt(143) + (sqrt(143) - 4*sqrt(143)))\/sqrt(11).\nAnswer: 57*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3434 (base 9) in base 6?\nAnswer: 15434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001110 - 100?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-8)\/3)\/(-6*(-6)\/(-54)). Let h be (-6)\/t*(-1664)\/24. Suppose 12*i - 4*i - h = 0. Solve 3*o - 4 = -i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -6956\/9 and -772 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 498163869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -469 - -1264. Suppose 123 - p = -6*a. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 145\/(-10)*(-18)\/45. Which is smaller: -1\/2 or q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 1, 0.4, -2\/23, 0.3, -5, 50202?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -890*z + 5. Is v(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**4 + b - 27*b**2 - 13*b + 5*b**4 - 10*b**4 - 18*b**3.\nAnswer: -3*b*(b + 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of -v**7\/105 - v**3\/6 + v**2 + 3. Let t(y) be the second derivative of z(y). Find the first derivative of t(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 241 + -239. Solve 3*d + 17 = -l*d + 2*z, 11 = d - 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -9*f**3 - 10*f**2 + 4*f + 3. Let w be a(11). Let m = 131537\/10 + w. Find the common denominator of m and -1 + (130\/(-16) - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(500)*-1 + -4)*-2.\nAnswer: 13 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -6*c**3 + 2*c**2 - 2*c - 2. Let a(p) = p**3. Determine -4*a(d) - w(d).\nAnswer: 2*d**3 - 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 - 15*i**2 - 2*i + 32. Let j be x(15). What is the biggest value in 4\/23, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -17\/5140 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 - 2*n. Let z be p(0). Solve z*m - m - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 94726 - 62523. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 57006 (base 8) to base 10\nAnswer: 24070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -2, 56, -3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 226511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/9*3*11. Suppose f - 3*w = z + 5, -2*f + w = -17. Suppose 0*t - f = -t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 4*d - 15. Let c be z(5). Let k be (-5 + c\/1)\/(-1). Solve -12 = 2*r + 2*r - 4*q, -4*q = k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ma when two letters picked without replacement from hmimaamhmmmmimammi?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33.19 + -11.68. What is b rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -53.35, 3, -1974 in descending order.\nAnswer: 3, -2, -53.35, -1974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -18*r + 49 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 7118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 909 divide 4001418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(9*-4)*(-60)\/(-70).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1 + 0.7. Let i = 0.2 - o. Let d = 0.2 + -2.2. What is the closest to -1\/4 in i, -3\/8, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/5334126 and -47\/3048072?\nAnswer: 21336504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/5115435 or -1?\nAnswer: -2\/5115435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*q*v**3 - 21592631*q - v**3 + 177*v**2 + 483*v - 17 wrt q?\nAnswer: 2*v**3 - 21592631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(38)*2)\/sqrt(2) - (0 + sqrt(1900)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*k + 5*w - 65, -145 = -5*k + w. Find the first derivative of 7 - i**4 - 30*i + k*i + 5*i**4 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4.93, 2\/5, 39?\nAnswer: -4.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 247371876.\nAnswer: 2, 3, 6871441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r + 3. Let m be q(0). Suppose m*v = -4 - 5. Let l = -17119 - -17124. Sort l, v, -1\/5 in descending order.\nAnswer: l, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 39407707, 39407692, 39407653, 39407578, 39407455, 39407272, 39407017?\n\"Answer: -2*k**3 - k + 39407710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (o + 9*o - o)*(o - 4*o + o)*(-o + 3*o + 0*o).\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of 0*g**3 + 11*g + 0*g**5 - 13\/6*g**7 + 1 - 2\/3*g**4 + 0*g**2 + 0*g**6. What is the third derivative of j(f) wrt f?\nAnswer: -5460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.05023 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q - 1. Let t be w(-1). Suppose 0 = k - 2*m - 85, t*m = k - m - 88. What are the prime factors of k?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-30)\/(-10))\/((-39)\/(-208)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i\/(i*i*i**(-2\/13)*i)))**(2\/43))**(-2\/3) assuming i is positive.\nAnswer: i**(-32\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose c**4 - 33*c**3 + 86*c**2 + 120*c = 0. Calculate c.\nAnswer: -1, 0, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**4 + l**3 - 337*l**2 + 340*l**2 + l**4 + 2*l in the form k*l**2 + n + u*l + o*l**3 + x*l**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*f**2 + 494 - 44*f**2 + 83*f**2 - 494.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/90 + 12\/(-30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -11*x**2. Let h(l) = -4*l**2 - 5*l. Let r(f) = -5*f**2 - 7*f. Let z(d) = -7*h(d) + 5*r(d). Give p(z(b)).\nAnswer: -99*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of 8*w**4\/3 - 4*w. Let d(s) = -13*s**2. Let m(f) = -5*f**2. Let v(t) = -d(t) + 3*m(t). Determine h(v(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24870 is divided by 187.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**4\/3 + 3710*c**3\/3 + 2234518*c**2\/3 + 429633490*c\/3 - 584841400 = 0.\nAnswer: -715, -429, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 186890 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -29679, -29676, -29673, -29670, -29667, -29664?\n\"Answer: 3*s - 29682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 - 4*a + 3. Suppose i + 28 = 5*i. Let k(x) = 2*x**2 - 10*x + 6. Let g(m) = i*v(m) - 3*k(m). What is g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*y + 15, -3*y + 3 = -0. Let b(v) be the first derivative of 1\/6*v**3 + 1\/2*v**d + 2 + 0*v. Find u, given that b(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3743 - 3713. Calculate the remainder when 988 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8397.72 centuries in millennia?\nAnswer: 839.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -20. Let m(f) = f**2 + 6*f - 2. Let g be m(t). Suppose 32 = 5*c - g. What is the least common multiple of c and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -26.8 (b) -0.2 (c) 1.3 (d) 5\/3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -e2 - 2?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u = -10 + 65. Suppose u*d - 514365 = -114365. Round d to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99780926?\nAnswer: 2, 7, 73, 89, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*y + 20 = 11*u + 11*y, 0*u - 5*y = -4*u + 49 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 36\/(-16) - 2\/(-8). Let i(s) = 49*s. Let z be i(m). Round z to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 divided by 15556?\nAnswer: -7\/7778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + 4 + (544\/(-40) - -12))\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-196)\/245)\/(2\/(-320)). Let d(r) = -r + 3. Let x be d(-13). What is the highest common factor of u and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -341299813998 and 1.8.\nAnswer: -341299813996.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7393442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -162648, -162672, -162696, -162720, -162744?\nAnswer: -162768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(208)\/sqrt(4) + 1.\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (85*z**2 + 174*z**2 + 217*z**2)*(-4*z**3 + 0*z**3 + 3*z**3).\nAnswer: -476*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -35f - -e8b0?\nAnswer: e551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.7? (a) 0.1 (b) 869 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of v**5\/20 + v**4\/4 - 7*v**3\/6 - v**2\/2 - 41*v. Give w(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*z = 77*z - 3*m, -2*z - 3 = -6*z - 3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 + 4*q - 4. Let w be o(5). Let u = w - -18. Suppose -1 + 39 = 4*m - 2*g, 5*m - 2*g = 50. What is the greatest common divisor of m and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14247891 divided by -2?\nAnswer: -14247891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/((-3)\/(4 + 2)). Let i = 488 - 479. What is the second biggest value in -1\/3, w, i, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -8438?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**18*u*u**(-13\/4)\/u*(u**(2\/23))**(-19) assuming u is positive.\nAnswer: u**(1205\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 302120 and 16185?\nAnswer: 906360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9\/5 + 31\/20. Let y be (-5)\/(-10) - 2\/(-4). Suppose -17*w + 13*w = -8. Which is the closest to w? (a) -0.5 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(19))*-3 - 2*sqrt(475).\nAnswer: -13*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - x + 3*x**2 + x - 21.\nAnswer: 3*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2326 is divided by 611?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.8 - -0.8. Which is the second smallest value? (a) j (b) 0 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 148 and 79.7.\nAnswer: 227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddsd when four letters picked without replacement from {u: 1, d: 3, y: 2, k: 1, b: 3, s: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5 - 7) + (1 - 1) + 24. Suppose -4*v + 22 + b = 0. Suppose -4*p = -107 - 65. What is the remainder when p is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 + -21. Let j be (-2)\/w + (-14)\/(-8). Let g = 5520\/13 - 16534\/39. Is j less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1100 (base 2) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8\/5 + -34\/15. Which is the nearest to -2? (a) -5 (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1291 + 6*l - 8*l + 6233.\nAnswer: -2*l + 4942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2668062008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/101 in -1, 28.9, 68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -567, -565, -551, -519, -463?\n\"Answer: f**3 - 5*f - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - -114?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -101 - 430. List the prime factors of b.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 2 + 42 + -46 - -16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 255 = -c - 3*o + 1105, 3*c - 2562 = -5*o. What are the prime factors of c?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000047436745 rounded to 7 dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 355 = 7*x. Let d = 130 + x. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.6 - 2. Let v = b - -1.1. Let q = -45.7 + 42.7. What is the third biggest value in -1\/5, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 363618.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 66571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.069 + 3.369. Let m = -1.7 - i. Which is the closest to 5? (a) m (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8*p**4 + 440446*p + 11018743 wrt p.\nAnswer: 32*p**3 + 440446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 AM and 1:21 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -2. Let t = 26 - 28. Which is the closest to 0? (a) t (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -242, -1075, -2498, -4541, -7234, -10607, -14690?\n\"Answer: -5*r**3 - 265*r**2 - 3*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 713573437 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be 582 + 0 + 0 + 0. Suppose -2*b + a = -0*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**2 + 10. Let t be c(0). Suppose t*h - 5*h = 0. Suppose h*r + 2*r = 4. Solve 0*j = r*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/25506 and -105\/11336.\nAnswer: 102024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w - 18. Suppose 3*h = 2*c - 27, -2*c - h = 3*h - 20. Does 13 divide m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + 12*x**2 - 4*x + 11. Let p be k(12). Let t = 65 + p. Suppose n - 2*q = 16, -4*n = -3*q - 44 - 0. What is the least common multiple of n and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14.2726 - -0.0374. What is n rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2*v - 184 = 0, -4*x + 3*v + 6*v + 738 = 0. Calculate the remainder when x is divided by 94.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28.487825 + -8.6.\nAnswer: 19.887825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1826 - 1682. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25 - -3) + -1 + -7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*t - 4*t + t)*(3 - 6 + 4)*(-47 - 40 - 28).\nAnswer: -345*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.770039 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**2 + 10*w + 1. Let i(x) = x**2 + 9*x + 1. Let s(v) = -6*i(v) + 5*z(v). Let d be s(-3). Solve 2*g + 4 = -d*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-48)\/72*813\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 12 = -5*u, -10 = -7*r + 3*r - 3*u. Is 23 a factor of 9\/3 + r + 11*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 58? (a) -11.2 (b) 0 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 47473.299 microseconds?\nAnswer: 0.0000131870275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3453*n**2 + 2509?\nAnswer: 6906*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of 0*r + 0*r**4 - 1\/30*r**7 - r**2 + 2\/3*r**3 - 1 + 0*r**6 + 0*r**5. What is the derivative of z(u) wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 1:43 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + y - 1260 = -1260, -4*y + 0*y = o - 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -55 - -80. Let j(y) = y**3 + 5. Let k be j(0). Suppose 2 = k*i + 7, -4*m = 4*i - 20. Solve -m*t + t = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28601 + -28604. Suppose 2*t - 250 = 2*p - 2*t, 0 = -5*p - t - 680. Put -1, m, p in increasing order.\nAnswer: p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2*x - 35. Let i(u) = -5*u**2. What is i(z(p))?\nAnswer: -20*p**2 + 700*p - 6125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 2 - 21*t**2 - 1 to q*t**2 + z + v*t and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/234*-71 + (-156)\/(-702). What is the biggest value in 3, i, 0.3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.38 - -0.02. Let l = 3\/5818 + 1453\/2909. What is the biggest value in l, 1, -0.2, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-3 + (sqrt(99) - (5 + ((sqrt(99)*-3)**2 - sqrt(99)))))*6*-1*-6.\nAnswer: -864*sqrt(11) + 129456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27456)\/(-5544) - ((-9)\/(-12) + 119\/28).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 121, -1077, 2, -3, -5 in increasing order.\nAnswer: -1077, -5, -3, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((0 + sqrt(6480) + 0)*2 + -1 + 0)*-3)**2.\nAnswer: -1296*sqrt(5) + 233289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 9 + 0 = 0. Suppose m - j*m + 4 = 0. What is the third derivative of -q**3 + 6*q**2 - 3*q**m - 2*q**3 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -10*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*d + 36 + 64 = -40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1551700?\nAnswer: 2, 5, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 424328 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.049 and 1.01.\nAnswer: -0.04949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28194*m**2 + 425*m + 7.\nAnswer: -56388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2410773897 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of k**7\/70 + 117*k**5\/20 - 49*k**3 - 170*k**2. What is the first derivative of c(u) wrt u?\nAnswer: 12*u**3 + 702*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 10 = -4*g. Suppose -g*o - 13 = -3*j - j, -5*o = -5*j + 15. Let n = 8 + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 132 + -606. Let z = n - -474.00000802. Round z to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 112*i - 188940 = 65*i. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1466870 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 6 + y**2 + 0*y**3 - 2*y**2 - 3*y - 4*y**2. Determine t(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.119 minus 0.15?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(0 + -4 + 3*((sqrt(1700)*3 + 5 - sqrt(1700)) + (sqrt(1700) + (sqrt(1700)*2)**2 + sqrt(1700) - sqrt(1700))*-5)).\nAnswer: 360*sqrt(17) + 407956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 543, 543, 545, 549?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/3 + 232\/24. What is the tens digit of (-440)\/(-30)*c\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18277 a factor of 1309564570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2. Let o(r) = -270*r + 19. What is f(o(l))?\nAnswer: 72900*l**2 - 10260*l + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8610*g**3*h**3 + 71904*g**3*h**2 - 2*g**3 + g + 13*h**6 wrt h.\nAnswer: 51660*g**3 + 1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a - 12. Let x be h(14). Let b = 6 - 5.7. What is the smallest value in b, x, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/5*35\/21.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -4. Let u = -9 + g. Let r = u + 13. Put -2, -1, r in increasing order.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -59\/3264 - -1\/408. Let k be (855\/160)\/(-9)*(-34)\/(-12). Let c = d - k. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand u**5 - 7*u**5 + 2*u**5 + (-2*u**2 + 1 - 1)*(u**3 + u**3 + 0*u**3) + (-2*u**4 + 5*u**4 - 2*u**4)*(4*u + 2*u - 4*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/1159145 and -163\/13909740.\nAnswer: 13909740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - n - 24 - 2*n.\nAnswer: -3*n - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 10*h**2 - 9*h + 9. Let b be o(-9). Let a = 148 - 49. Calculate the highest common factor of b and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 - -8. Let w = 0 - 1. Let k be 3\/(w - (-10)\/4). Solve 0 = 5*d - k*d - v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20 (base 7) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12202 is divided by 762?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/((sqrt(72)*2 + sqrt(72))\/sqrt(9))*4.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 285\/57*(-8)\/50*(-15)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 738\/(-2460) - 49\/(-130)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.11 + -0.2. Let v = -4.91 + g. What is the third smallest value in -1\/4, v, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -i - 8. Suppose 8 + i = f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/((2\/4)\/((-712)\/2848)) - (-62)\/(-6).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 5*d**2 + 0*d**2 - d - 3 + 5*d + 7. Let j(c) = 3 + 4*c**2 - c + 3*c - 3*c + 4*c. Calculate -4*j(b) + 3*t(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1440 and 21 + -5 - (-2053 + -91).\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -580*(88\/(-16) - -5). Let a = k - -60. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 748 (base 13) in base 3?\nAnswer: 1201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*j**2 - j**2 - 3*j**2)*(-94*j**2 - 99*j**2 - 75*j**2 - 13*j**2) to i*j**2 + b*j**4 + n + x*j**3 + t*j and give b.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 217 times 400005?\nAnswer: 86801085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.073529 + 0.6335031. Let f = t - 0.56. Round f to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 462422 is divided by 7340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h**3 - 36*h**2 + 142*h - 156 = 0. Calculate h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wgjjllddwwgwd. What is prob of sequence ld?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 168549 or 168551?\nAnswer: 168551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 957*h**2 + 8*h - 11. Is s(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + (-9)\/(9\/(-16)). Suppose f*c + 12 = 16*c. Suppose -10*y + c = -7*y. Solve -z = y*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/2*4*15\/6. Suppose -3*s - b*z = -16, 0*s - 20 = -3*s - 4*z. What is the greatest common factor of s and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -68 minus -11878927?\nAnswer: 11878859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 2*l**2 + l**2 + 25*l - 29*l + 16*l + 0*l**2 in the form j*l + b*l**2 + a and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (-20 - (-22 - (3 + -17)) - -24) + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -8703 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 14, n: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -7, 0.2, 1\/4, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -31 + 43. Suppose -5*c - 3*y - 32 = 0, 0 = -2*c + 3*y + 2 - 19. What is the remainder when d is divided by c*(0 - (-2 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*((g\/(g**(-1\/5)*g))\/g)\/g*g*g**(-6))\/(g**(-13)\/g*g**5*g) assuming g is positive.\nAnswer: g**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 61218260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 267c (base 15) to base 11\nAnswer: 61a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*y = 19*y - 6392. Suppose 0 = -p - 2*k + 40, -5*p + 20*k = 24*k - y. Solve 39 - p = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 137 = 3*w - b + 3*b, 0 = 5*w - 4*b - 199. What is the third derivative of 8 - w*u**6 - 5*u**2 - 34*u**2 + 35*u**2 wrt u?\nAnswer: -5160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.7 + -1.8. Let f = 1164.7 - 1169. Let o = l - f. What is the closest to o in 1, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t**5 - t**4 - 2*t**3 - 3*t**2 - t. Let j(k) = -k**5 + k**4 - k**3 + k**2 + k. Suppose -6*g - 3 = -3*g. Let c(m) = g*j(m) - u(m). Factor c(p).\nAnswer: -p**2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -409*v + 411*v = -2*m + 6, -5*m + 17 = 3*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(-8)*v*(v*(v\/v**(1\/4))\/v)\/v*v*v**4*v**(1\/3)*v**1\/v**(-2)*(v**1\/v*v)\/(v**(-3\/11)*v) assuming v is positive.\nAnswer: v**(311\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 + 4*x. Suppose -4*c + 1 = 3*m, -2*c + 6 = -3*m - 17. Let l be j(m). Solve 0*p = -p + l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 5) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of 203*x**5\/60 - x**4\/12 - 5*x**3\/3 + 3*x**2. Let k be i(-4). Suppose -8*b = -2*b - k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, h: 3}. What is prob of picking 1 v and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 AM and 6:34 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = 4*u - 5*n, u + 16 = 2*u - 2*n. Let g(m) = -m**3 + 9*m**2 + 8*m + 11. Let x be g(10). Let c = u + x. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -318 by -6.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from rlrrlrrzrrrrzlrrzl.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24971*w**2 - 33*w + 24994*w**2 - 49967*w**2.\nAnswer: -2*w**2 - 33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32945474 or -5?\nAnswer: -32945474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/65 and -38\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/5 or 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7d6 + bf2?\nAnswer: 13c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*v**2 + 0*v**2 + 0*v**2 + (-v - v + 4*v + (-2*v + 1 - 1)*(-1 - 3 + 2) - 3*v + v + 0*v + v - 2*v + 0*v)*(-3*v + 6*v + v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 1704*y = -y - 41678 - 33164 - 24048 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*u + 3*u - 63. Is 267\/u - (-10)\/35 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 143 - 67. Let u = 2 + 2. Suppose u*d = 5*m + 467 + q, 5*d = 5*m + 535. Round m to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 228*x + 0 - 549*x + 0 to the form b + r*x and give r.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 1233*u - 8400. What are the prime factors of d(53)?\nAnswer: 3, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) 7 (d) -1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -i**2*r*v - i**2*v**2 + 71*i**2*v + 2*r*v**2 - 3*r + 18*v**2 with respect to i.\nAnswer: -2*i*r*v - 2*i*v**2 + 142*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.46 - 2.46. Let g = 501 + -486. What is the closest to 1\/3 in z, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wv when two letters picked without replacement from wvvwwwwv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 16) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 249*0.275363.\nAnswer: 68.565387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1211011100 (base 3) to base 13\nAnswer: 1340a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -5, 8, 25, 34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 2780.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 739 a factor of 74913822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.2 - -0.7. Let l = 0.01 + 0.1. Let h = -0.61 + l. Which is the closest to -1? (a) m (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34801 is divided by 2673.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 8:18 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-5)*x**1)\/(x*x\/(x*(x**(-2\/9)*x)\/x)*x*x**(-2\/7)\/x) assuming x is positive.\nAnswer: x**(-248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -16721683 + 2*n**2 + 16721683. Let g(l) = -l**2 + 4*l - 4. Let a(y) = y**2 - 5*y + 3. Let s(c) = 4*a(c) + 5*g(c). Calculate s(w(m)).\nAnswer: -4*m**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 272895.\nAnswer: 3, 5, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 4*v**2. Let o(n) = n - 1. Let g(i) = 5*i**2 + 5*i - 5. Let q(p) = -g(p) + 5*o(p). Give k(q(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 PM and 5:33 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16850 and 2600292.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z**4 + 5468*z**3 + 2490512*z**2 + 381371968*z + 1485988608 = 0.\nAnswer: -507, -428, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 2*v**2 - 2*v + 4. Let x(m) = -m**3 + 2*m**2 + m - 3. Let f = 29 + -32. Calculate f*n(z) - 4*x(z).\nAnswer: z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 114021 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/12 and 27\/2*190\/228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-26)\/(-14) - 2). Let g = 10 + v. Suppose k - g = 27. What is the common denominator of 7\/10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/4)\/y)**(-9\/5))**(6\/17) assuming y is positive.\nAnswer: y**(81\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84834, 169665, 254494, 339321, 424146?\nAnswer: 508969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 701262.7m in nanometers?\nAnswer: 701262700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -612\/25, -0.6, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18464 - -55393\/3. Put 17, -114, l in ascending order.\nAnswer: -114, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*f**3 + 2*f**3 + 5*f**3 - 19 - 12 to z*f + a*f**2 + y*f**3 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -54.02 + 4.62. Let g = j + 50.45. What is g rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - (5 + -4 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 315*p + 0*p**2 + 777*p + 27*p - 4*p**2 - 100*p to y + s*p**2 + b*p and give b.\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 4381*u**2 + 4 + 4382*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(99)*-1 - sqrt(99)) + 2)**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 139 + 53. Suppose -2*f + 96 = 2*f. What is the greatest common factor of f and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.37 + 3.776. What is b rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tddsh. What is prob of sequence sh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4568484 divided by -4.\nAnswer: -1142121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 582.758 - 0.5.\nAnswer: 582.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -12\/5 (c) 0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -168 and 30.\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 39*o + 8*o + 11*o + o in the form l + w*o and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 19656.805 to the nearest ten.\nAnswer: 19660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) + (sqrt(304)*2)**2 + sqrt(19) - (sqrt(171)*-2 + sqrt(171)).\nAnswer: 5*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by (-72)\/2*10\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 6*j**4 + 199*j**3\/2 - 5431*j**2\/2 + 33385*j\/2 - 63525\/2 = 0.\nAnswer: -33, 5, 77\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the second derivative of 658*l**4\/3 + 3*l**3 + l**2 - 11*l + 100. What is the second derivative of x(t) wrt t?\nAnswer: 5264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 20*u**3 - 13*u**2 - 13*u. Let c(h) = -5*h**3 + 3*h**2 + 3*h. What is -26*c(f) - 6*m(f)?\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1125.35 rounded to the nearest ten?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 11*l + 3*l**2 - 4*l**2 - 2 + 2*l**2. Let v(m) = 3*m - 6. Calculate the least common multiple of d(-12) and v(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -371, -1964\/11, -0.26 in increasing order.\nAnswer: -371, -1964\/11, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -394539349*t**3 - 344364012*t wrt t?\nAnswer: -2367236094*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 PM and 5:03 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.8 + 1. Let b = -9.44 + 5.44. Is b != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 17*x**2 + 36. Suppose -c + 11 = -6. Let a be w(c). Let s = 40 - a. Solve 5*g - 21 = -2*k, 27 = s*g - 3*k + 8*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h + 3. Let i be p(-3). Suppose 5*k - 2*k - 9 = i. What is the units digit of 7 + k*(-1)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2*z**3 + 2*z**2 + 3*z + 2. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 18*((-322)\/(-28))\/(-23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3b90 (base 15) in base 8?\nAnswer: -30677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*r**2 + 2*r**3 + 38*r**2 - 15*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 19*m**3 + 4*m - 17. Let w be l(5). Suppose 3*g = 553 + w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 m, and 1 z when three letters picked without replacement from nqfmzrm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 14*(-5)\/(20\/(-12711058)). Suppose 5*a + x = 4*a + 5*v, 3*v = 2*a + 88977441. Let j = 23588728 + a. What is j rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.012 times 6.7357\nAnswer: 0.0808284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = 912*y - 910*y - 80, 0 = -3*y + 144 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 14*d**2. Suppose 0 = -2*h - 0*h. Suppose r + 15 = -n + 2*n, h = 4*r - 4. Calculate the smallest common multiple of n and b(1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 990483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-164)\/8)\/((-1)\/(-2)). Let f = k + 58. Let d = 29 - f. Calculate the remainder when 34 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1320 = 85*k + 119*k - 39*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/49)\/((-1)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.2 + 5920.\nAnswer: 5917.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -27*v**3 - 5*v**2 - 7*v + 2. Let s(d) = 41*d**3 + 7*d**2 + 10*d - 3. Determine 5*s(f) + 7*u(f).\nAnswer: 16*f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4148, -4147, -4146, -4145?\n\"Answer: k - 4149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 1102646*w**2. Let l(k) = 2*k**2. Determine c(l(z)).\nAnswer: 4410584*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 41 (b) 5 (c) 6\/7 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2 + 8*y + 120.\nAnswer: -2*(y - 10)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4187 - 4183. Solve 15 = 5*b, u*z = -b + 4*b - 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**3 - 11*f**2 - 47*f + 187. Let v be a(7). Solve -7 = -z + v*u, 4*u + 25 = -4*z + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of 31*x**4\/3 - 209*x**2\/2 + x - 66. Differentiate h(w) with respect to w.\nAnswer: 248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66949323783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -7 - 40*v**2 + 14 + 30*v**2. Suppose -4*h = -2*b, -5*b + 21 = -b - h. Let a(m) = -9*m**2 + 6. What is b*w(k) - 7*a(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r. Let d(n) = -9*n + 483045. Determine w(d(c)).\nAnswer: -18*c + 966090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes before 8:32 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 44*k**4 - 184*k**3 + 252*k**2 - 128*k + 16 = 0.\nAnswer: 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o - 1. Determine z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*k - r - 2*r, -5*k + r + 18 = 0. Suppose 0*y = -k*y + 1008. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1281827.\nAnswer: 1281827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -245.1 plus -7?\nAnswer: -252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -y**4\/5 + 14788*y**3\/5 + 147952*y**2\/5 + 82864*y + 355152\/5 = 0.\nAnswer: -6, -2, 14798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(1 + sqrt(275) + 5 - (sqrt(275)*1 + 2 + sqrt(275)))**2.\nAnswer: -160*sqrt(11) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum -75588 and -2024675.\nAnswer: -2100263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -859\/3 or 8273?\nAnswer: -859\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 2623165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-690))\/(17*81\/74358)\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 721712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 278450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 3*y**3 - 25*y**2 - 19*y + 9. Let o be i(9). Suppose p - 3*d = -o*p + 74, -p - 2*d + 99 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*s - 32 - 8 = -2*x - 2*s, -7*s - 52 = -x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(768) - (-2*sqrt(768))**2 - (sqrt(12) + -2*sqrt(108) - sqrt(12) - sqrt(12)).\nAnswer: -3072 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 3*p**4 + 87*p**3 + 516*p**2 - 1404*p = 0. Calculate p.\nAnswer: -18, -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -88, -189, -300, -421, -552, -693?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 397848494 divided by 198924247?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -268*x**2 + 63540*x - 5688.\nAnswer: -4*(x - 237)*(67*x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 119, 230, 341?\n\"Answer: 111*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6464 - -9194. Round f to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 954*n**2 + 4*n + 1445. Let m(u) = 1908*u**2 + 7*u + 2862. Let x(i) = -3*m(i) + 5*t(i). What is the first derivative of x(q) wrt q?\nAnswer: -1908*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2\/(-15) + ((-9368)\/(-60) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20 - -103. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*l**2 + 108 - 2*l**2 - 2*l - 24*l**2.\nAnswer: -19*l**2 - 2*l + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of y**4\/4 - 2*y**3 + 9*y**2\/2 - 7*y - 15. What are the prime factors of n(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20044 (base 6) in base 4?\nAnswer: 220330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 1. Let m(x) = 4*x - 11. Give 3*g(b) - m(b).\nAnswer: -b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 5*h**2 + 2*h. Let o(k) = -k**2 - 1. Determine 2*o(i) + v(i).\nAnswer: 3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1076 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5456809 is divided by 1345?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 6)*(103*c**2 + 168 - 168).\nAnswer: -206*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/6, 2915, -2\/11 in decreasing order.\nAnswer: 2915, 5\/6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 14, -7, -54, -139, -274?\n\"Answer: -2*m**3 - m**2 - 4*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**2 - 1. Let a(f) = -2*f**2 - 3*f - 3. Let c(t) = 5*a(t) - 5*u(t). Factor c(p).\nAnswer: -5*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -8*n**3 - 11*n**2 + 7*n + 11. Let o(i) = 12*i**3 + 17*i**2 - 11*i - 17. Give 8*b(p) + 5*o(p).\nAnswer: -4*p**3 - 3*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4\/13067 + -7069943\/2273658. Let o = 8\/29 + x. Find the common denominator of -71\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22274671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*s + 4*p + 12 = 0, -763 = 2*s + 4*p - 721 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -164, -132, -100?\n\"Answer: 32*i - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 10}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand ((9 - 10 - 10)*(0 + 0 - 6*n) - 2*n + 4*n - n + (-2 + 2 + 4)*(1 - 1 - 2*n))*(2*n**3 + n**3 - 2*n**3).\nAnswer: 59*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor k**4 - 7198*k**3 + 12967189*k**2 - 51782412*k + 51753636.\nAnswer: (k - 3597)**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 8132 divided by -1?\nAnswer: -8132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4.73*-0.2\nAnswer: -0.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -4, 27 in ascending order.\nAnswer: -4, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 10 + 10. Solve -4*a + 18 = -h*g, 5*a - 14 = 2*g - 0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 154 + -30326?\nAnswer: -30142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 AM and 7:54 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 2 i, and 1 n when four letters picked without replacement from {l: 2, e: 2, n: 4, i: 5}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24\/41 - -278\/615. Let n = g + -143\/15. Calculate the common denominator of n and -41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/((-408)\/45))\/(-3)*(-32)\/(-200).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 + d + 1. Let j(r) = 5*r**3 + 7*r**2 - 12*r. Let c(l) = -j(l) - 6*m(l). Let a(x) = 12*x + 42. Let y be a(-3). Calculate c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14008.25 weeks in seconds?\nAnswer: 8472189600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 + (1 - (7 - 3)) + -6 + 14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 - 4*k**2 + 10*k + 3. Let s be f(-7). Suppose 6*c - c - s = 0. What is the least common multiple of c and 49\/4 + (-23)\/92?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -305*r**3 + 291*r + 1264*r**3 + 57 - 296*r wrt r.\nAnswer: 5754*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 7*c**2 - c - 1. Let a be ((-3)\/9)\/((-14)\/210*-5). Calculate o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of p**5\/20 + 5*p**4\/12 - 3*p**3\/2 - 3*p**2\/2 - 39*p - 1. Let x be j(2). Solve 5*a - x - 4 = -f, 4*a - 24 = 3*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 2*p - 20 - 10, 3*p - 4*h - 31 = 0. Suppose 0*g - 179 = -2*g - 5*c, -p*g + 4*c = -431. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 49? (a) -2 (b) 812 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2046\/10)\/(-1 + 2). Let g = v - 204. Let h be (-3)\/(-4) + 1\/4. Is g at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -62 smaller than 58409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 36576.2t?\nAnswer: 36576200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 5*k**2 + 46*k - 2. Let p(d) = -7*d**2 - 61*d + 2. Let h(b) = -3*p(b) - 4*s(b). Suppose -5*n = -0*n + 4*f, 0 = n - 2*f. Determine h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-9)\/(-12)*-2)\/((-2)\/516). Let s = g + -206. Suppose 15 + 77 = j + v, -v - s = -2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) - (sqrt(119) + -3*(sqrt(119)*-1 + sqrt(119))) - 1*2*sqrt(119))\/(((sqrt(245) + sqrt(245)*2)\/sqrt(7))\/sqrt(5)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (12\/(-7) - 28\/98)*-2. Solve i*o - 1 = -2*d - 5, 0 = -2*d - 5*o - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (10 - -9 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -442 = -94*r + 216 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 419947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(343)*-2)*-2.\nAnswer: -2 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1340 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 8) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12111212212 + 11?\nAnswer: -12111212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -79*a - 2854 + 247 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**2 - 5*x**2 + 3*x**2 + 2)*(0 + 4 - 3)*(19*x - 18*x - 14*x).\nAnswer: 39*x**3 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7 + 700652?\nAnswer: 700643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiiixxiixfiix. What is prob of picking 1 f and 1 x?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.52 - -0.5. Let b = 0.12 + k. Which is bigger: b or -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*n + 0*n**2 + 6*n**3 - 4*n**3 + 0*n**2 to the form m*n**3 + t*n + j*n**2 + p and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d - 5. Let c be (-1 - (-12)\/(-4))\/(-2). Let v be (-5)\/(-10)*(c - -6). Calculate q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v**2 + 3*v**2 - 3*v**2)*(-388 - 18 - 94).\nAnswer: 500*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 123 = 2*u, 0 = -2769*k + 2765*k - 2*u + 102 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -21082.397 rounded to the nearest 100?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the third derivative of 7\/3*d**4 - 4\/3*d**3 + 49*d**2 + 0*d + 0. Differentiate l(u) wrt u.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16897 is divided by 766.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mlmmlnmymlmml.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 5394.432 years to decades.\nAnswer: 539.4432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2.06221 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -5. Let a be 185\/35 + (-2)\/h. Solve -3*r - 5*b + 20 = r, -r - b + a = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29.09970713 + -0.09969413. Let l = 29 - h. What is l rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1070839, 1070838, 1070837, 1070836, 1070835, 1070834?\nAnswer: 1070833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -106496 divided by 4096\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -32*j**3 + 66*j - 2. Let l(g) = -g**3 - 1. Let b(c) = -2*l(c) + p(c). What is the second derivative of b(y) wrt y?\nAnswer: -180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 519226?\nAnswer: 2, 89, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 4:30 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1883808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1455 divided by -291\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1474)\/(-440))\/(-67) - 10\/50.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -144 - 100040214?\nAnswer: -100040402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3934 and 4522.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-165 + 163 - 147)*(0 + 1 + 0)*(0*v**4 - 2*v**4 + 4*v**4) to h*v + w*v**3 + r*v**4 + u + y*v**2 and give r.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7267201.\nAnswer: 53, 137117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61*r = -175 + 612 + 539. Let z(q) = 5*q**2 + 21*q - 2. Let d(g) = 26*g**2 + 104*g - 10. Determine r*z(i) + 3*d(i).\nAnswer: -2*i**2 - 24*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 - 32*v + 39. Let z be d(10). Let t = z - -201. Solve p = -g, 0 = -p - 3*g - 2*g - t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/((-4)\/8 + 0). Let j be y\/6 + (2 - -3). What is the highest common factor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19.163 - -19.228. What is the nearest to 0 in 0.5, s, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.803 and 2346866375.\nAnswer: 2346866375.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 137 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11384 and 476705.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-95)\/36 + (-36)\/324 + 3. Which is the nearest to 1? (a) -7 (b) -3 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of b**3\/3 + 7*b**2\/2 + 6*b + 522. Let c = 1 + -5. What is d(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*x - 24 = 18. Let g(z) = 32*z**2 - 10*z - 4. Let k(n) = -10*n**2 + 3*n + 1. Let j(m) = x*g(m) + 7*k(m). Determine j(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - 3*a**2 - 6*a - 2. Let z be f(-3). Suppose z - 104 = -11*g. Let b(t) = -t**3 + 8*t**2 - t + 11. Give b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 954 + -901. Solve -11*j - a = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(2\/37)\/(c**(-10)\/c) assuming c is positive.\nAnswer: c**(409\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -15*i - 33232 + 33263, -4*i = 5*a - 84 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 77229025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 1\/4 (b) 1.603 (c) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -2*q**3 + 25*q**2 + 11*q + 20. Let h be p(13). Let w(k) = k**2 + 7*k + 7. Let b be w(-5). Is b != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1446 (b) 2\/9 (c) -4 (d) -839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4*1\/(-5))\/(-3 + 1). Let z = -1.6 - 15.4. Which is the third biggest value? (a) j (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (62 - 61) + (1 - -2) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2 and 54684829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 22*(-4)\/(-6)*120\/16. Let g = -439\/4 + o. Factor 1\/4*j**3 - 1\/2*j**2 + 0 + g*j.\nAnswer: j*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15\/22? (a) -3 (b) -27\/5 (c) -15\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(2\/5)*h)**(-2\/135)\/((h*h**(3\/4))\/((h*h**(-2\/7))\/h)))**(-14\/11))**(-7\/4) assuming h is positive.\nAnswer: h**(-272069\/59400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, r: 4, v: 7}. Give prob of picking 1 r, 1 b, and 2 v.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30520 and 1308.\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22920 and 3664335?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*v - 10*v - 20*v)*(4 + 1 - 3)*(-1 + 1 + 2*v**3) + 16*v**4 + 2972 - 2972 to the form a*v**3 + d*v + p + r*v**2 + j*v**4 and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -23.31 take away -204510538664?\nAnswer: 204510538640.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*l = -60*l + 7. Let z(q) be the third derivative of -q**6\/12 - q**5\/30 + q**4\/24 - 106*q**2. Calculate z(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25311787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 19 by 13563748.\nAnswer: 19\/13563748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, g: 1, z: 3, d: 2}. What is prob of sequence gd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 9180 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 3711049 * -7.\nAnswer: -25977343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7237 and 345?\nAnswer: 2496765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-5 + 10 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1036 - 590 = 149*v - 597 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6010 - 6304.5. Which is the third smallest value? (a) -2 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 123933659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -6*f + 5. Let d be r(8). Let o = d - -78. What is the greatest common factor of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 254*m**2 - 3 + 708*m**2 - 52*m**2 - 36*m**2 to y*m + d*m**2 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -11124331 (base 5) in base 3?\nAnswer: -12000102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 12:19 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1666 = 9*v + 8*v. Let l = -38 + 83. Let i = v - l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10578251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -31, -123, -277, -493, -771?\n\"Answer: -31*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -2*i**2 - 3*i - 3. Let h(d) be the first derivative of d**3 + 2*d**2 + 4*d - 4. Let v(m) = -3*h(m) - 4*k(m). Let c(l) = 3*l. Give v(c(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*d**2*h*q + 262*d**2*q + d**2 - d*q - 9*h**3*q - h**3 wrt h.\nAnswer: 4*d**2*q - 27*h**2*q - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 3*m**2 - 4*m + 3. Suppose 29*j - 30*j = -45. What is the remainder when y(-7) is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/2)*t\/t**5)\/((t\/((t\/(t\/t**11))\/t)*t)\/((t**(-2\/25)*t)\/t)))**(3\/4) assuming t is positive.\nAnswer: t**(513\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 866637, -2\/13, 2 in ascending order.\nAnswer: -2\/13, 2, 866637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 32666 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: Product of -5 and 0.0547.\nAnswer: -0.2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be 580074\/4136 + (-38)\/(-8). Suppose 9 = 5*y - 16, 4*y = -u + 49. Calculate the greatest common divisor of i and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15.37 - -0.37. Let i = -14.9 - b. Sort 0.4, i, 4 in descending order.\nAnswer: 4, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2006216, 4012431, 6018646?\nAnswer: 8024861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 22381068, 22381070, 22381072?\n\"Answer: 2*z + 22381066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.759304 weeks in nanoseconds?\nAnswer: 459227059200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003578863 rounded to 4 dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 45*f**3 + 4*f**2 - 3*f - 3. Suppose -2*p + 18 - 14 = 0. Is 16 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.72 + -1.72. Do 0.03 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151297200173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 143516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.5 + -27.5. Let g = w - -21. What is the second smallest value in -2\/7, 2\/9, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 504 by -42.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 - -5223.6?\nAnswer: 5223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 925293233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80*l = 41*l + 429. What is the highest common factor of l and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2532445664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12836 + -12763. Sort -12, -5, z.\nAnswer: -12, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 739 (c) -0.1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 97*n - 8. Let r(i) = -i + 1. Let s(g) = 5*r(g) + x(g). What are the prime factors of s(3)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 4*t - 51610*x + 103226*x = 51613*x + 27, x + 10 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7914955?\nAnswer: 5, 1582991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + t - 44, 0 = -2*y + 2*t - 13 + 69. What is the common denominator of (2 + 3\/(y\/158))\/15 and 75\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.7 times -0.102\nAnswer: 0.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -79 - -85. Suppose x*r = 2*r + 176. What is the remainder when r is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - 122202200101011?\nAnswer: -122202200101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 276396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 2*d. Let y(m) = 239*m**2 + 12*m - 812. Give y(x(u)).\nAnswer: 956*u**2 + 24*u - 812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 6:41 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*o = 1333*o + 348*o + 4667 + 20197 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3555 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + -3 + -31 - 11 - (0 + (2 - -1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1768157 (base 9) to base 8\nAnswer: -3615643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -83*v + 91*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (238\/(-28))\/((-1)\/38). Suppose r = 3*p + 35. Suppose 88 = n + 3*n. What is the lowest common multiple of p and n?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 - 0. Let l(f) be the second derivative of 0 + 3*f**2 - f + 1\/6*f**3. Determine l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 223 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*k - 75*k + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bsiqsbiisifiiqf. Give prob of sequence ssii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26129*c + 12892*c + 13211*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 885355673.\nAnswer: 19, 46597667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of 7*t**4\/4 + 11*t**3\/3 + 27*t. Find the second derivative of n(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-177*n + 454 - 454)*(-4*n + 2*n + n).\nAnswer: 177*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, e: 4}. What is prob of sequence rer?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 15 = 5*w, 4*s - 3 - 9 = 4*w. Suppose 2*u + 3*m - 50 = 0, 3*u + s*u = 3*m + 90. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -299592140, -299592138, -299592134, -299592128, -299592120, -299592110?\nAnswer: -299592098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 4*b = -204 - 96, 3*o - b = 233. Suppose 4 = -5*u + 2*h + 37, -2*u + 13 = -h. Calculate the highest common factor of u and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 309*k + 40 = 319*k. Solve 2*s + 4 + 4 = 0, -2*s - k = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -53*z - 2. Determine k(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p**2 - 15*p - 1. Let q(w) = w. Calculate -g(r) + 5*q(r).\nAnswer: 2*r**2 + 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*y**4 - 355*y**3 + 3090*y**2 - 5755*y + 2150 = 0 for y.\nAnswer: -43, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3276 and 46410?\nAnswer: 278460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 8 - 18 = -2*f, 2*f = -4*w + 20. Let n = 30 + -74. Let b = w - n. Which is smaller: 48 or b?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 + 2*z + 4. Suppose -3*n + 13 = -4*o, 24*n - 3*o - 9 = 22*n. Determine w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i**2 - 28*i - 19. Let v be a(-13). Let m be (-4)\/(-28)*2 - 2\/v. Find g such that 3\/8*g**3 + m + 3\/8*g**2 - 3\/8*g**4 - 3\/8*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 2*g + 961 = 0, -5*t - g + 5*g + 943 = 0. Suppose 7*p + t = 380. What is the remainder when 510 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3*(17\/2)\/((-9)\/30). Let h = l + -49. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -21702, -43399, -65096, -86793, -108490?\n\"Answer: -21697*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*h - 3 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 PM and 7:32 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 597 - 592. Factor 0*t + 9\/5*t**4 + 0*t**2 - 6\/5*t**3 + 0 + 3*t**g.\nAnswer: 3*t**3*(t + 1)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*r + 671 = 139. What is the remainder when 81 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 4*h**2 + 2 - 9*h - 4 + 4 + h**3 - 3. Let w be z(-5). Suppose w*l = 1003 + 2360. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15*30\/5100)\/(((-225)\/(-12))\/(-5)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1238 is divided by 151?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -10*b**3 + 18*b**2 + 55*b + 48. Determine h(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 327421?\nAnswer: 327421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1.82 times -0.3\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/8 and (-2)\/(-3)*(-496)\/(-192)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x**2 - 12*x - 10. Let q be h(-4). Let g(b) = b**3 - 7*b**2 + 4*b - 3. What is g(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 368206.5kg to micrograms.\nAnswer: 368206500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 - 38*z - 4. Let x be a(-6). Suppose 0 = -b - 1, -11*w = -x*w + 4*b - 200. What is the greatest common factor of 16 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1028*f**2 + 1028*f**2 - 3077*f**2 + 1021*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-547*l + 188*l - 284*l + 28*l)*(20*l + 13*l - 17*l).\nAnswer: -9840*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 70 (base 10) to base 2.\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 645.9007kg in milligrams?\nAnswer: 645900700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/6*3*(-4)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 71332069 - -0.4.\nAnswer: 71332069.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/(-4))\/(((-46)\/230)\/(78\/(-15)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dh when two letters picked without replacement from mmmmmhmmmgmdmmm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8299\/5 + -25187\/15. Find the common denominator of -3\/1318 and u.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -1.1687.\nAnswer: 1.1687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-70)\/(-6))\/(-7)*(-1 - 2). Suppose -4*d + 4036188 + 4963808 = -2*b, -5*b - 22499995 = -p*d. Round b to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -930 and 320356590.\nAnswer: 320355660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-27))\/(((-3)\/54)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.2 + -1. Let k = -7 - -2. Let x = 1.917 - 1.417. Sort k, z, x.\nAnswer: k, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 74804 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*k**3 - 20*k**2 - 7*k - 2008?\nAnswer: -6*k**2 - 40*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + (-11 - -8) + 0 + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4 times 651.61818\nAnswer: -2606.47272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the second derivative of g**7\/70 + 51*g**6\/50 + 1011*g**5\/50 + 287*g**4\/10 - 135*g**3\/2 - 375*g**2\/2 - 326*g. Solve a(n) = 0 for n.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 14102411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be 17\/306*171 - 9. What is the nearest to -1\/3 in p, 3, -29\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 5e?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 2 r, and 1 c when four letters picked without replacement from {c: 4, r: 2, d: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12403753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 s, and 1 w when three letters picked without replacement from {w: 1, z: 1, e: 1, i: 1, g: 1, s: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 6*r**2 - 160*r + 2226. Give j(16).\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5904*v**5 + 3*v**2 + 54 wrt v.\nAnswer: -354240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -161853744*r**5 - 117141543*r**2?\nAnswer: -9711224640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-10)\/(-8) - 2033\/(-76) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 5:23 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1201607?\nAnswer: 11, 313, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 646\/15 + -7439\/210. Calculate the common denominator of -1 - (830\/(-24))\/5 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 4*y + 184. Determine x(-40).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 17 = g, -5*h - 5*g + 16 = -2*g. Suppose -5 - 7 = -2*y. Solve 1 = -h*j - z + y, -j - 20 = -4*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 128367893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -4*m**3 - m - 2. What is h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22 - 26 + 98 - 25 - 27 - 223*r)*(5*r**4 - 4*r**4 - 3*r**4).\nAnswer: 446*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 - 20*o**2 - 25*o - 3. What is f(-19)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*(h\/(h**(-13\/2)\/h*h))\/h*h*h**(-2) assuming h is positive.\nAnswer: h**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*m + 74*m + 6 = 6*o + 26, 2*m + 0*m - 9*o + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3214 and -67.8.\nAnswer: -217909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -2*g**2 + 24. Let k be o(-4). Let c(w) = -w**3 - 8*w**2 - 3*w + 3. Let f be c(k). Solve 0 = -3*t + f - 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -59 divided by 1597865.\nAnswer: -59\/1597865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.03 (b) 2\/13 (c) 3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 1. Let n(m) = -6*m - 1. Let w(v) = b(v) - n(v). Let p be 56\/10 - 6\/10. Suppose -q - p*d = -2, -2*q - 5*d + d = -4. Determine w(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10928 - 10925. Solve -h + 5*t = -14, 4*h - j*t - 28 = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 868, -3\/5, 8\/3, 0.3?\nAnswer: 868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 599\/10 + 939\/9390.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1820\/234 - (-2)\/9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -12*r**2 - 2*r + 6. Let c(p) = p**2 + 1. Determine -6*c(o) + u(o).\nAnswer: -18*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 - -14.5. Let x = 0.39 + 0.61. Put -5, 1\/4, o, x in ascending order.\nAnswer: -5, o, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -4) + 2 + -7 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -l + 108. Suppose 0 = -3*h + f + 4, 3*h = -5*f + l + 16. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 + 13 + -10 - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8.9 + -9. Let x be 9\/14 + (-4)\/(-8). Is x < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1160 and 15544.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9 + -7 + 1 + 3. Let s = f + 6. Let x = s - 8. Calculate the highest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 4*k**2 + 3*k. Let i be 4\/(-18) - (-58)\/18. Let j(r) = -5*r**2 - 3*r. Let f = -363 + 365. Calculate f*j(h) + i*a(h).\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 258671536 to the nearest integer?\nAnswer: 16083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 272 and 16906?\nAnswer: 2299216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/((-4)\/6) - (-564)\/(89 + -42). Calculate the highest common divisor of h and 465.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 0*q**4 - q**2 + 5 + 0*q + 0*q**3 - 4\/5*q**5. What is the second derivative of g(i) wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 2 = -3*x, -5*t = -4*x + 2 + 24. Find v, given that -19*v**2 + 14*v**4 + 19*v**2 - 129*v**3 + 49*v**x + 12*v = 0.\nAnswer: -2\/7, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17254, -69085, -155474, -276427, -431950, -622049, -846730, -1105999?\nAnswer: -1399862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -64076\/2481 and -27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38373402?\nAnswer: 2, 3, 6395567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-1 + 16 - (98 + -122)) + -21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**3 + 8*x - 7*x**3 - 3*x.\nAnswer: -6*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (3588 + 3588 + 3584 + 3588 - 14348 + 25109*y)*(-2*y - 2 + 2).\nAnswer: -50218*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1314652 to the power of 1\/2, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 113, 114, 115, 116, 117?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of -3*i**4\/4 - 5*i**3\/2 - 6*i**2. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -249b59?\nAnswer: 249b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 91, 32, 167 in ascending order.\nAnswer: 32, 91, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 21 + 1. Let z = 12 + -7. Suppose 0 + 5 = z*p. Sort p, i, 0 in descending order.\nAnswer: i, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -2*l**3 - 7*l**2 - 7*l + 12. What is the tens digit of g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence efv when three letters picked without replacement from hifefzv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22303 - -21?\nAnswer: 22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 543476914*b**3*r**2 - 9015*b**3*r - 70*b**3 - b**2*g**2*r**2 - 5*b**2*g**2 wrt r.\nAnswer: 1086953828*b**3 - 2*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 547210830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0066873479 rounded to 5 dps?\nAnswer: 0.00669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 7360912457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/2, 10\/7, 7\/8, 0.15, 27?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - (7 - 15))\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 3*b**2. Let k be d(1). Suppose -62 = -k*r + 106. Suppose 2*n - u - 16 = -n, 0 = -n - 2*u + 17. What is the greatest common divisor of n and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -24 in 198, -2\/5, -0.22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 2*b**4\/5 + 94*b**3\/5 - 13854*b**2\/5 - 202806*b - 16491924\/5 = 0. Calculate b.\nAnswer: -57, -27, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from fxyfxxxxfyyxxxxf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 66*l**2 - 44*l - 44. Let i(p) = p**2 - p - 1. Calculate a(w) - 44*i(w).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 36*h**2 - h - 1. Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110 + -110100001?\nAnswer: -110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 86943 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/12450 and -94\/778125?\nAnswer: 1556250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 1179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -15 by 1050955.\nAnswer: -3\/210191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2668 and 106904.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 153032 and 32153?\nAnswer: 12089528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 144722412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 2*h + 5*d, 0 = 3*h + 12*d - 13*d - 29 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhjjjhhjfjjjjhhjj. Give prob of sequence jhf.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((18\/(-10))\/(78\/(-130)))\/(2622\/55936)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*t + 13 = -0*t. Let k = 2\/279 - -827\/1395. Which is greater: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/21, 41, -4, -2\/13, -0.4 in descending order.\nAnswer: 41, 2\/21, -2\/13, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 8323.793433 to zero dps.\nAnswer: 8324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2501*n = -2503*n + 5*t + 97, 5*n - 229 = -t. Solve -4*u = -n*u + 126 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + h = -2, -5*i - 7 = 3*h. Let t be (-12)\/16 - 2\/i. Are t and 6\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00026949683 rounded to 6 dps?\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 3*y**2 - 44*y + 111. Let a be s(3). Solve -15 = -a*x - 9*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of -7*c**5\/10 - c**4\/24 + 11*c**3\/2 - 2*c**2 - 29. Find the second derivative of h(l) wrt l.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 4*w - 20, 4*w - 22 = -4*y - w. Suppose -3 = -b + y. Let v(g) = -2*g. Let j be v(-1). Solve -2 + b = j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -57635\/91 - -4434\/7. Which is the second smallest value? (a) m (b) -4\/5 (c) 4 (d) -0.5 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/128*28\/(-567))\/((-12)\/(-9)). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of 1184*j**3 - 2243*j**2\/2 + 6*j - 539. Find the first derivative of i(v) wrt v.\nAnswer: 7104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 82 + -28. Calculate the greatest common divisor of a and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12022 - -1012222221202?\nAnswer: 1020000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -280 by -53.\nAnswer: 280\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes after 4:24 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*j**3*m*r - 556*j**3*m + 322*j**2*m*r + 24*j*m + 107*m*r - 4 wrt r.\nAnswer: -2*j**3*m + 322*j**2*m + 107*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) -1\/8 (c) -13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2572\/9? (a) -2\/21 (b) -0.96 (c) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h**2 + 30*h - 620. Calculate d(31).\nAnswer: 2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.252 and 0.1.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 17.0064.\nAnswer: 3.40128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17963*p - 17951*p - 17950*p + 53871*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -21, 18, 5, 3579, 3 in decreasing order.\nAnswer: 3579, 18, 5, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (0 - (-6 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of m**4\/4 + 5*m**3\/3 - 3*m**2\/2 - m - 1645. Calculate h(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 134320 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 513308 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 732 and 96120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -73, -790, -1505, -2218?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -9*v - 1804030 + 1804030. Let t = 6 + -4. Let p(z) = 4*z - 5*z + t*z. Determine j(p(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*h = -24*h - 210 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 349 - 139 + 20*y**2 + 12*y - 177. What is the hundreds digit of o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4331742548.\nAnswer: 2, 7, 3793, 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iewfuuwwfffefwfw. What is prob of picking 3 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/19 and 19\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -521 + 521.0642. Let o = n - 0.064201118. What is o rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -13. Suppose -40 = -2*z - n*z. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = k. Solve k = 5*m - 5*c, -3*c - 2*c + 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -781 - -1020. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 50655 and 23910?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1726 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 + 9*a**2 - 5*a + 20. Determine w(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -112\/5 - -754\/35. Suppose -q + 2*v = 11, 3 = -v + 8. Let a be (-2)\/(-20) + q\/(-2). What is the biggest value in a, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 1\/4, 0.3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/77, -153, 2\/29?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 - 3*p**2 + 7*p + 9. Let j be r(7). Let m = 660 + j. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -278.69 in 2\/19, 1\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -987, -2485, -4491, -7005, -10027?\nAnswer: -13557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28449, -113826, -256129, -455364, -711537, -1024654, -1394721, -1821744?\nAnswer: -2305729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -482*o + 63*o + 147*o - 420*o + 3*o**3 + 15*o to the form h + m*o + p*o**2 + a*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-21)\/(j\/(j**(3\/2)*j)))\/(j**(-3\/8)*j*j)**(-15) assuming j is positive.\nAnswer: j**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1130323 + -101130?\nAnswer: 1023133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1299*a + 2 = -1298*a. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*x**3 + 9*x**3 - 4*x**3 + (3 - 1 - 1)*(-4*x**2 + x**2 + 2*x**2)*(36*x - 33*x - 45*x).\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 13 (b) 33 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - n + 4*n + 1761 = 0, 2*j + 4*n - 3532 = 0. What is the least common multiple of j and 70?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 - p. Let x(u) = -2*u**2 + 31*u - 2*u**2 - 9*u**3 + 34*u**3. Let d(f) = 4*t(f) + x(f). What is the second derivative of d(g) wrt g?\nAnswer: 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -u**5\/20 + 7*u**4\/12 + u**3\/6 - 5*u**2\/2 - 7*u - 14. Calculate a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19? (a) 3 (b) -5\/2 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.3 - -0.1. Let s = 48.1 + -48. What is the closest to s in 2, j, 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 33, 8 in ascending order.\nAnswer: 1, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, c: 6, g: 4}. What is prob of sequence kc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1168, 2328, 3480, 4624, 5760, 6888?\n\"Answer: -4*x**2 + 1172*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2288, 27, -2, 4, 99 in decreasing order.\nAnswer: 2288, 99, 27, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lltwlllllllwtlltlfl. What is prob of sequence lwt?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of -10*g**3\/3 + 5*g**2\/2 + 37. Let f(q) = -10*q**2 + 4*q. Give -5*f(i) + 4*y(i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 538283087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 64691 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together -24558772199 and -1.057.\nAnswer: -24558772200.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/16)*g**(2\/3))\/((g*g*(g\/(g\/g**(1\/5)*g))\/g*g*g)\/(g*g**(-1\/28))) assuming g is positive.\nAnswer: g**(-1061\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1473315064?\nAnswer: 2, 13, 17, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ebvv when four letters picked without replacement from {v: 3, b: 2, e: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -547*t - 116. Calculate q(0).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*j**5 - 11*j**3 + 32*j**2 + 2.\nAnswer: 360*j**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110212211 (base 3) to base 4.\nAnswer: 13012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 18. Let h(p) = -p**3 - 3*p**2 + p + 3. Let o(c) = 3*c**3 + 8*c**2 - 2*c - 8. Let l be (-4 - 44\/(-8))*-2. What is l*o(s) + x*h(s)?\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k - 1. Let t(h) be the first derivative of -3*h**2 + 3*h + 5. Let a(s) = -3*c(s) - t(s). Let r(l) = l**2. Calculate a(r(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-56) - (-96)\/336.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 2 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 47*l + 3 - 48*l - 4. Let n be v(-3). Let s(p) = n - 1 + 0*p - 4*p + 3*p. Give s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + 1. Let t(x) = 4*x**2 + 105 + 6*x**2 + 5*x**2 + 2*x - 8*x**2 - 6*x**2. What are the prime factors of t(k)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4 + (-8)\/(-2) - 0. Suppose -3*d - 2*d = 4*q - 11, v = -d - 1. Solve q*m = -m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pvvp when four letters picked without replacement from vpvpvpv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**2 - 160*k - 2496.\nAnswer: 4*(k - 52)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-3))**(-7\/5)*m**(-6\/7)*m*m*m\/(m\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(-347\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -108223*p - 14 = -108221*p - 2*a, 0 = -4*p - 2*a + 14 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 12.85 and -134.6.\nAnswer: -1729.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Do 123\/34 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 minutes after 1:28 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let o = -10053 + 10701. Calculate the highest common divisor of o and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1165 divided by -233\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 232885 is divided by 77628.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-2))\/((-12)\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/6*y**2 + 1\/6*y**3 - 2\/3*y + 2\/3.\nAnswer: (y - 2)*(y - 1)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 962 and 10101?\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 37.3 minus -477?\nAnswer: 514.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the second derivative of d**4\/8 + 1736*d**3 + 9041088*d**2 + 7339*d. Solve r(w) = 0.\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -121*m + 44. Let c be -6*6\/(-180) - (-9)\/5. Let p(s) = 4 - c - 11*s - 3 + 3*s + 4. Give -44*p(i) + 3*t(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2971, 3778, 5123, 7000, 9403?\nAnswer: 12326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0552599942 to six dps.\nAnswer: -0.05526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -44b7 + 13b?\nAnswer: -4378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by 189762\nAnswer: -1\/31627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1d + -4b?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add 1.174294 and -0.1.\nAnswer: 1.074294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 - g + 1. Let i = -4 + 4. Suppose 6*q - 11*q - 10 = i. Let x be 0\/(q + 0 + 4). Calculate r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 61 = 5*o. Suppose 3*q = -2*i + 8*q + o, -i = 2*q + 3. Sort -7\/2, -2, i in decreasing order.\nAnswer: i, -2, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-162)*(-10)\/(-20).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 5*sqrt(38)\/(sqrt(18)*-1))*5.\nAnswer: -25*sqrt(19)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -v + 12. Let c(g) = -122*g**3 - 2*g**2 + 7*g. Let u be c(v). Let z = -31580 + u. Round z to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of -j**6\/300 + j**5\/6 + 113*j**4\/60 + 29*j**3\/5 - 5*j**2 - 141. Find f such that w(f) = 0.\nAnswer: -3, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.4 - 1.6. Sort f, 2, 0.3.\nAnswer: f, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 14*y**4\/9 - 20*y**3\/3 + 8*y**2 - 16*y\/9 = 0. What is y?\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/8, 17, -12\/215, 7, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -35111, -36037, -37581, -39743?\nAnswer: -42523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2. Let h(j) = -127*j**2 - 7*j - 23. Let f(a) = 64*a**2 + 3*a + 11. Let b(x) = -7*f(x) - 3*h(x). What is p(b(i))?\nAnswer: -4489*i**4 - 1072*i**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 93679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*n + 3*n + n)*(1306*n - 126*n + 167*n)*(-5 + 1 + 2) in the form b*n**2 + u*n + s and give b.\nAnswer: 2694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 2*y**5 + 5*y**4 + 204*y**3 + 2144*y**2 + 2*y + 10. Let h(t) = t**5 + t**4 + 2. Let v(a) = -b(a) + 5*h(a). Find the third derivative of v(o) wrt o.\nAnswer: 180*o**2 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -301, -1210, -2723, -4840, -7561, -10886?\n\"Answer: -302*t**2 - 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - -f4a0420?\nAnswer: f4a041c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 4*v**2 - 2 - 5091*v + 5091*v as k + l*v**2 + i*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 392\/1029*(-423)\/(-752).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -5*n**2 + 1601*n - 17091. What is m(11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6509 and 849.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 66 - (6\/(-3))\/2 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 -128026595*a**2 + 2453*a - 20662 wrt a?\nAnswer: -256053190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -31 + 34. Let t(q) = -q**3 + 2*q**2 + 4*q - 1. Give t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 + 11*i**2 - 2*i + 6. Let h be z(2). Is 694\/19 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7160 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -5810492802 rounded to the nearest one hundred thousand?\nAnswer: -5810500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/60, -1\/3, -2 in decreasing order.\nAnswer: 1\/60, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 1 - 11 = 0. Suppose 12 = p + 5*q - 9, 3*q - 16 = -4*p. What is the least common multiple of 2\/(-4) - 7\/y and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - 7*o**2 - 23*o - 74. What is q(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/1617572 and -31.\nAnswer: 1617572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -137\/504 + -1\/72. Let v = -53.1 + 53.4. Which is the smallest value? (a) x (b) -0.8 (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/768*9)\/(((-21)\/70)\/((-1428)\/170))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*(152\/2 + -3). Suppose 3*f + 22 = -s + 69, -3*s + a = 5*f. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0)*(-17*v - v + 6*v + (2 + 2 - 2)*(-2 + 2*v + 2))*(-v**3 + 2*v**3 + v**3)*(15 + 9 + 26).\nAnswer: -800*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 784637?\nAnswer: 7, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 162 + -166. Let z = -17 + 14. Sort 1\/14, z, n.\nAnswer: n, z, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 3*q - 5*q)*((0 - 2 + 4)*(1 + 0 + 1) - 2 + 0 + 3).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -h - 14. What is the lowest common multiple of h and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lmsommvmslzsllzzszm. Give prob of picking 1 v, 1 l, and 1 z.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, c: 3, x: 5, a: 1}. Give prob of sequence axcx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -909 - 30b29?\nAnswer: -31634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.235 - -0.235. Let m = 1.18 + -12.88. Let r = m - -12. What is the closest to r in g, -1\/5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, g: 5, w: 2}. Give prob of picking 1 g, 1 w, and 1 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5538 is divided by 2702.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5 + (-1524)\/330 + 12\/(-66). Let m = -0.34 + 5.34. Let k = -1 - -1. Which is the closest to w? (a) -5\/6 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, o: 13}. Give prob of picking 1 o and 2 x.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d + 16157 = 18853 - 69147. What are the prime factors of d?\nAnswer: 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 20*a - 38. Let r be d(3). Suppose -r = -8*n + 18. Solve n*s = y + 29, 2*s + 3*y = -2*s + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -11*w**2 + w + 1. Let i(l) = l - 10. Let j be i(9). Give h(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7621\/1107 - -185\/27. Let u = 154\/2829 - o. Put -0.4, u, -4\/7 in ascending order.\nAnswer: -4\/7, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1412 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 AM and 8:42 PM?\nAnswer: 654","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4, -0.1, 0.06, 0.17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/17 in 1, 0, -4556, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 3243 - 1743 = 0. Which is smaller: p or -1663?\nAnswer: -1663","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 9) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -64 - -31. Let q = o + 50. Suppose 5*n - j = 157, -4*n + n = -j - 93. Calculate the remainder when n is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06744201 plus -13069.2?\nAnswer: -13069.26744201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4d - 6a1fb?\nAnswer: -6a1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 0, -10*l + 11*l = 2*h + 1701. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 23\/5 of a millimeter?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 7*r - 1 + 1)*(-41 - 69 + 7)*(-1 - 2 + 5)*(0*r + r - 2*r) to h*r + o*r**2 + l and give o.\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2085, 2920, 4297, 6210, 8653, 11620?\nAnswer: 15105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8.8 - -8.8. What is the third smallest value in -3\/16, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1155651 divided by 1155651?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3\/3 + 62*h**2\/3 - 86*h\/3 - 290.\nAnswer: -2*(h - 29)*(h - 5)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 125008967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 9 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum 803 and 22712.46.\nAnswer: 23515.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-10 + 640\/56)\/((-1)\/(-21)). Calculate the greatest common divisor of r and 12630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b + 11 - 1. Does 5 divide (-11)\/33 - -40*b\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2945, 2944, 2943, 2942, 2941?\nAnswer: 2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2942 - -9579. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q\/q**(-2\/27))\/q**(-6))**(-41))**(-1\/33))**(-16\/5) assuming q is positive.\nAnswer: q**(-125296\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 46*d**3 - 4*d**2 - 4*d + 195. Let j(i) = 90*i**3 - 9*i**2 - 9*i + 390. Let u(l) = 4*j(l) - 9*m(l). What is the derivative of u(x) wrt x?\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of -3*r**2\/2 + 18*r - 12. Let z be j(8). Which is greater: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 395323?\nAnswer: 395323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.29 - -0.01. Let t = -767975\/691137 + 5\/76793. Which is the second smallest value? (a) -1 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 24200?\nAnswer: 217800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -3*q**2. Let y(l) be the third derivative of 1\/60*l**5 + 0*l**4 + 0*l + 3*l**2 + 0 + 0*l**3. Determine y(s(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-108 + 22*h + 108)*(-4*h + 2*h + 3*h) + 2*h**2 - 3*h**2 + 2*h**2 in the form l*h + z + c*h**2 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2810576801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 45766.56 litres?\nAnswer: 45766560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3148*p - 2806*p = 45144 for p.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 11*r**2 + 12*r - 10. Let l be t(10). Let a be -1*l*(-1)\/2. Suppose 2*j + 54 = 4*h + a*j, -5*h + 5*j = -50. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 - 16*p**2 - 37*p - 4. Let g be h(18). Let q be ((-12)\/22)\/3 + 84\/g. Which is greater: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 17, -5, -2, 5, 13 in decreasing order.\nAnswer: 17, 13, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30, 62, 116, 204, 338, 530, 792, 1136?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -448 - -452. Solve 4*r - 21 = f*h - 1, -2*h + r - 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -201544303 (base 6) in base 13?\nAnswer: -93a98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of -m**5\/120 + m**4\/4 + 2*m**3\/3 + m. Let r(c) be the second derivative of v(c). Suppose -6*z + 22*z - 96 = 0. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6014596 is divided by 2440?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63892831.\nAnswer: 63892831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 171 and 6105243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 0.188443 and 55126305.7.\nAnswer: 55126305.888443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 562009 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ummmmjduunmmumm. What is prob of sequence ndj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2551840943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 5:34 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -581 - -607. Solve 0 = -3*f - l - 14, -27*l = -4*f - c*l - 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -10*f**2 - 5*f - 4. Let r(q) = -9*q**2 - 4*q - 3. Determine 6*b(v) - 7*r(v).\nAnswer: 3*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of 3*h**7\/350 + h**6\/40 - 13*h**5\/20 + 15*h**4\/8 - 9*h**3\/5 - 143*h**2. Let u(m) = 0. Calculate m.\nAnswer: -6, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 5*a + 110 = 0. Calculate the greatest common factor of 88 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -26, 1, -0.5, 2\/9, 1034 in descending order.\nAnswer: 1034, 1, 2\/9, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26328 and 30?\nAnswer: 131640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j - 8 = -38. Let p be (j\/(-6))\/(3\/27). Solve 0 = -p*h + y - 3, -3*y + 8 = 5*h - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + 18*j**2 - 4*j - 58. Let u = -48 - -30. Let o be q(u). Solve -4*i = 3*m + o, -6 = -3*m + 2*i + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-42*2\/448)\/(1\/14)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that y**5 + 10976*y**4 + 30074199*y**3 - 241219624*y**2 + 211134448*y = 0.\nAnswer: -5492, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-210)*(-1430)\/40. Let j = 1\/70 + u. What is the closest to 1 in -0.5, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -108 + 132. Let z = j + 50. Let p = 93 - z. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -91748.4 rounded to the nearest 100?\nAnswer: -91700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 4303470 (base 8) to base 7.\nAnswer: 12523030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 7:13 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a + 4*a + 4*a)*(-2 + 2 - 2*a**2) + 2*a**3 - 2*a**3 + 2*a**3 + (0 + 0 - 2*a)*(8*a**2 - 3*a**2 - 3*a**2) + 0*a**3 - 2*a**3 + 3*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2*q + 0)*(4 - 1 - 1)*(22*q**2 - 52*q**2 - 22*q**2) to the form s + l*q + o*q**3 + z*q**2 and give o.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, b: 1, s: 1, e: 1, f: 1}. What is prob of sequence fb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.34 + -48.66. Let y = -2 - g. Let x = y - 48. Which is the biggest value? (a) 1\/6 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 400, 813, 1248, 1717, 2232, 2805, 3448, 4173?\nAnswer: 4992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 1 - 3. Let c(n) = 7*n**2 - 2*n - 1. Let u be c(y). Suppose x = 2*g + u, 104 = 9*x - 4*x + g. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -14 + 53 + -26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = l - 4. Suppose l*r = 5*y - 0*r - 87, -5*y - 5*r = -115. Solve -5*j - 3*n = y, -5*j - 6 = 5*n + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(20)\/sqrt(4) + 4 + sqrt(5) + (sqrt(80)\/sqrt(4))\/sqrt(4)) - (-4 + 0 + sqrt(720) + -1)) + -5.\nAnswer: -15*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -46340\/171 + 271. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2))**23*((u\/((u**(-4)\/u)\/u))\/u)**(-2\/7) assuming u is positive.\nAnswer: u**(-334\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 2*p - 21 = 0, 9*w - 21 = -5*p + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*d**3 - d**3 - 16 - 4*d**2 + 25*d**6 + 10*d + 15*d**2 + 16 wrt d.\nAnswer: 3000*d**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d*h**2*i**2 + d*h*i**2 - 185*d*h*i - 3*d*i**2 + 13*h**2*i**2 - 4581*h**2 + 2*h*i**2 + 148*i wrt h.\nAnswer: 4*d*i**2 + 26*i**2 - 9162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 3*i - 12 = 7*i, -13*m - i = -25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -14 (c) 0.4 (d) 4 (e) 14\/5109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 209\/154 + 13\/78*(-3)\/1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + -8 - (-10 + -65 - -6). What is the highest common factor of h and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*c - 4*c + c + (-1 + 5 - 2)*(-2*c + 7*c - c))*(-2*c + 0*c - c) to the form w*c + k*c**2 + u and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -604175*r**2 - 3. Let c(w) = -4*w**2. Give h(c(x)).\nAnswer: -9666800*x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/4 + 21\/2. Suppose 0 = 5*l - 3*l - 10. Let a = x - l. Calculate the highest common factor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -493*v**2 - 3434*v + 102. Determine m(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 634404 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -50 + -50?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -p + 14, 0 = -t + 107*p - 109*p - 2. Solve -t*x + 4*i - 13 = 19, -23 = 4*x - 3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4469*y - 3549*y + 8728*y to the form x + q*y and give q.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 6 = 3*t, -5*t = z + 161 - 179 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 4*b + 3*c - 58, 72 = 5*b + 2*c. Suppose -112463 = -b*a + a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/7 (b) 1\/32 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 630 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jyz when three letters picked without replacement from zzjlzjiyziljzjzzzllz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 - -2)\/((-7)\/(-35)). Let c(t) = 66*t**3 - t. Let n be c(1). Let z = -45 + n. Solve 4*p = -x*l + 2*p + z, -5*p + 16 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 3, q: 1, t: 4}. What is prob of sequence gtq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 694.2656l in millilitres?\nAnswer: 694265.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 67434.72us?\nAnswer: 67.43472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 2 + 13 = 0. Suppose -24 = -h*i + 6. Suppose -2*w = 5*x - i, -2*w + 0*x - 6 = -x. Which is bigger: -3\/2 or w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 12*b. Let n(u) = u**2. Let i(g) = 0*g**2 - 2*g**2 + 0*g**2. Let r(z) = -2*i(z) - 7*n(z). Calculate r(d(v)).\nAnswer: -432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/5 - (-3)\/(-60)*184. Let n be ((-2)\/(-20))\/((-5)\/d + 0). Let 0 + 0*w**2 - 3\/5*w**3 + 4\/5*w - n*w**4 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.84 - -496700.9.\nAnswer: 496692.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 2, a: 6, d: 2, r: 6, k: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 2*j - 4. What is q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117237226.\nAnswer: 2, 31, 1890923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -2*o. Let d(k) = 0 + 49*k**2 - 51*k**2 + 0. Calculate z(d(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 121813 + 233688 - 121326 = -2465*z for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in -15, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 6989378 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -3*h + 8. Let b(q) = 4 + 6 - 15 + 6. Calculate -6*b(z) + c(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1702.502 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1216.1 - -190.1. What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1566 is divided by 200?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -61 + 99. Calculate the remainder when 103 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11323, -11258, -11193, -11128, -11063?\nAnswer: -10998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -86.8 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(175\/(-14))*23\/(31671\/85)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.801 + 1825.799. What is k rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (75\/(-10))\/((4\/(-6))\/(8\/6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -89578932083\/12369 + 137604912\/19. Let x = h - 905\/6. Is 0 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -2. Suppose 2*i + 1 - 5 = 4*j, 0 = l*i. Let b(p) = p**3 - 3*p**2 + p - 1. Let g(q) = q**2 + 1. Determine j*g(t) - b(t).\nAnswer: -t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -6*a**2 + 75*a - 65. Give s(10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 214 (base 6) in base 4?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5538647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttt when three letters picked without replacement from hthhhtttthhttththh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -3*v + 19. Let m(a) = a - 6. Let l(g) = 2*f(g) + 7*m(g). Suppose -33*b = 73*b. Calculate l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5295, -10596, -15933, -21324, -26787, -32340, -38001?\nAnswer: -43788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 19 = -4*j, -3*j + 2*j - 3*n = 5. Suppose -60 = -11*h + 5*h. Suppose -r = h*r - 22. Solve 2*o + r = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (2 + 13 - -4) + 0 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 204 + -210. Let w be 144\/(-54)*p\/8. Solve 0 = 5*n - 20, -16 = 5*b + w*n + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 102*y**2 + 7799*y. Let b(m) = 18*m. What is b(l(v))?\nAnswer: 1836*v**2 + 140382*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 + 17*k**2 - 15*k - 227. Let y be c(-17). Calculate the greatest common factor of 1148 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 11, 111694, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + 3*h**2 + 4*h + 6. Give n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and 6590055.9792232.\nAnswer: 6590056.3792232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*q**4 + 22718*q**2 - 595*q - 70867403?\nAnswer: 8*q**3 + 45436*q - 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 58, -15\/14, -2, 0.2, -0.4.\nAnswer: -2, -15\/14, -0.4, 0.2, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1881 = -57*r - 104*r + 218*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -6 + 8 + 5 + -3 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 554039 = 115*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 bigger than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, o: 11}. What is prob of picking 2 o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6294 + -1405. What are the prime factors of g?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 267, 0, -2\/7?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, u: 2, h: 1, w: 10}. What is prob of picking 1 u and 3 w?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from pwewxzce.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, -39971196, -4 in increasing order.\nAnswer: -39971196, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12555327 divided by -249.\nAnswer: 50423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2171 + 105*h**2 - 2171 - 56*h**3 wrt h?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*l + 2*l - 3*l)*(-2 - 18 - 9) + l - 4*l + 5*l)*(-2 + 4 + 0).\nAnswer: 236*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*p*y**4 - 1432*p - 5*y**4 + 45*y - 5 wrt y.\nAnswer: -40*p*y**3 - 20*y**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaoaaaooaaaa. Give prob of sequence oaa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -11*g**2 - g + 1. What is v(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(3240\/(-6))\/(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 584664570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -p - 6, 6*u + 2 = 3*u - p. Let t(r) = r**2 + 3*r + 3. Let k be t(u). Let o be (-2 - -2)*1\/(-2). Solve x - 2 + k = o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -53889167+0.5\nAnswer: -53889166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1202 - 4*d**2 - 29036*d - 1202 + 29036*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 175202464 divided by -5475077?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 570, 444, 328, 222, 126, 40?\n\"Answer: 5*c**2 - 141*c + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:10 AM and 10:16 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2465144.\nAnswer: 2, 11, 109, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70815?\nAnswer: 3, 5, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 3. Let m = i - -1. Let g = 14687 + -14690. Which is the smallest value? (a) -1 (b) m (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/i**(-1\/13)*i**(5\/2) assuming i is positive.\nAnswer: i**(93\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 79*q**2 + 17*q**4 - 128*q**2 + 59*q**2 + (3*q**3 - q**3 - q**3)*(-4*q + q + 4*q).\nAnswer: 18*q**4 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 2, 11, 4\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -412\/13 - -5009\/156. Is -58\/7 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49\/718 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -791.171147 - -0.24.\nAnswer: -790.931147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*h**4\/11 - 354*h**3\/11 + 758*h**2\/11 - 510*h\/11 + 92\/11 = 0.\nAnswer: 2\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -12.31425756 to one dp.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0384100054 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(2*-1*sqrt(102) + -5*(sqrt(102) + -1*sqrt(102)))\/(sqrt(12)\/(sqrt(2)*1*-5 - sqrt(2))) + -3)**2.\nAnswer: 72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaexasessm. What is prob of picking 1 x and 3 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from qgqqg?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -5*d**5 - 92555*d**4 + 3338475*d**3 + 277675*d**2 - 9830270*d - 6676920 = 0. What is d?\nAnswer: -18547, -1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 264795, 529514, 794207, 1058862, 1323467, 1588010?\n\"Answer: -2*l**3 - l**2 + 264736*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 112 (base 4) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 4 = 6, 4*x + 3*a = 62. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 10) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 44 = -4*v - 67, 0 = -5*o - 5. Let b = v - -60. Calculate the remainder when 1352 is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 744911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3741 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/96*(-756)\/315\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**20)**(1\/12)\/(((i*i**(1\/19))\/i)\/i*i*i**19))**(-30) assuming i is positive.\nAnswer: i**(23525\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2 - 11*g + 10. Give s(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - o - o - 8 = 0, -5*o = 5*b. Sort 5, 7, b, -5 in decreasing order.\nAnswer: 7, 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.8008059 plus 37?\nAnswer: 29.1991941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that 3*i**4 + 483795*i**3 + 140111325*i**2 + 10153498125*i = 0.\nAnswer: -160975, -145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7070 = 7*h + 3*h. Suppose 10*v - 143 - h = 0. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(2\/17)*g*g**(-14)\/g)\/(g\/(g\/((g\/g**(2\/7))\/g))*g)**(10\/9) assuming g is positive.\nAnswer: g**(-14647\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 4:25 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -55 - -61. Suppose -312 = g*w - 114. Let a = 37 + w. Solve -2*h - r - r = -20, a*r = h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (87\/754)\/((-3)\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of -29*h**2\/2 + 236*h + 23. Let s be g(8). Let b be (-4)\/(-2) + 19 + -2. Solve 3*k = 2*y + b, 4*y + 4 + 4 = -s*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85) + (sqrt(85)*-1 - sqrt(85)))*-1 + 1*((sqrt(85) - sqrt(85)*-2 - sqrt(85)) + sqrt(85)))\/(sqrt(45)\/(sqrt(1089)*1)).\nAnswer: 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 7:31 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of k**6 + 11*k**2\/2 - 28. Find the second derivative of y(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 3*o**3 - 2*o**2 - 19*o + 4. Let k(n) = 2*n**3 - n**2 - n. Calculate -2*k(v) + m(v).\nAnswer: -v**3 - 17*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86333, -86328, -86321, -86312?\nAnswer: -86301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 714254, 714190, 714110, 714008, 713878, 713714, 713510?\n\"Answer: -g**3 - 2*g**2 - 51*g + 714308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - (-2)\/(-2)*-1. Solve -8 = -z*x + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 44652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - (5 - (10 - (-5 - -19) - 26)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 576800, 52, -1, 4 in increasing order.\nAnswer: -5, -1, 4, 52, 576800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 10, -4*b = -0*b + 2*l - 32. Let a(d) = d - 13. Let k be a(15). Solve -b*h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -713*20.0561.\nAnswer: -14299.9993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13656217.\nAnswer: 13656217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 335*d + 2233. What is i(-6)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a**2 - a - 3. Let v be f(-3). Let t = 225 - v. Suppose 0*l - 3*l = -t. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/2 + 75\/(-6). Let q(j) = -3*j**3 + j**2 - j + 1. Let u be q(2). Let g = z - u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 527112*a - 527093. What is d(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4932*v**4 + v - 6890 - 73*v**2 + 73*v**2 + 2254*v**4 wrt v?\nAnswer: 86232*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 420537775 and 3.\nAnswer: 420537778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -1 - 14. Suppose 0 = 2*b - p*q + 41, b - 4*q + 18 = -2*q. Let s be 209\/44 - (-6)\/b. What is the greatest common divisor of s and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.051 + 1.051. What is the nearest to -1\/4 in 0.8, u, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -25 + 27. Suppose 2*i - 22 = -2*b - q*b, 4*b - 5*i - 1 = 0. Put b, 2, -4 in ascending order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 5 - 6 + 2*z**2)*(-z + 2*z - 3*z).\nAnswer: -4*z**3 + 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 59*s - 90*s + 115*s + 504 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1879 + -459. What is p rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 5*t - 5*b + 33, -4*t - 3*b = -23. Solve 3*a + t = -10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 16731185*y**4 - 18402812 wrt y.\nAnswer: 66924740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3320166468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -29*a**3 + 2*a**2 - 5*a - 3. Is m(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 8, n: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -539\/81 + 2803\/405. Find s, given that w*s + 2\/15*s**4 - 2\/5*s**3 + 2\/15*s**5 - 2\/15*s**2 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -3165.\nAnswer: -1582.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = -8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 6552230, 13104461, 19656694, 26208929, 32761166?\n\"Answer: j**2 + 6552228*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j - 1. Let y be i(-4). Suppose 2*h - 20 = -y*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -293*y + 25780. Give v(95).\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 180 divide 21819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 710867.24*2\nAnswer: 1421734.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-21)*1)\/(28\/168)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1 + sqrt(2)*-2.\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 440103 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -1902.469 to the nearest integer.\nAnswer: -1902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 451712\/13 bigger than 34747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**4 + 3*t**4 - 2*t**4)*(2197 - 723*t - 2197) + (-5*t**2 + 5*t**2 - 2*t**3)*(3*t - 2*t**2 - 3*t).\nAnswer: -719*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-14)*(-92)\/23.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 840 + 31585.3\nAnswer: 32425.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, -4\/3, 109, 5, -1\/7, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 - 12717?\nAnswer: -12716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/20 and ((8 - (11 + -4))\/(-187))\/(2*-1).\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 + 1 + 80 + -89\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4788.0002163 + -4788. Round x to 6 decimal places.\nAnswer: 0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9345067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 195, 299, 403?\n\"Answer: 104*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -187.97 - -188. What is the nearest to -1\/4 in 10, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110 + 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 19*s - 93*s + 536 = 83, -4*s + 20 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 27014988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26980 and 122436.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 != -2\/2101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10167*i**3 + 3399*i**3 + 3386*i**3 + 3384*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 168 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -3*z + 194, -5*k = -5*z - 151 - 359. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of -23*h**4\/4 - 2*h**3\/3 + 33*h**2\/2 - 6. Find the second derivative of s(p) wrt p.\nAnswer: -138*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y. Let m = 3067 + -2152. Let j(w) = -29*w**2 - 915*w + m*w + 3*w**2. Determine j(s(k)).\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*i**3)*(-10 + 57 - 17)*(-3*i + 3*i + i).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 + 10*b - 1. Let i be c(5). Let o(v) = -v**2 + 15*v + 10. Let h be o(10). Calculate the greatest common divisor of h and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of 7*d**3\/2 + 6*d**2 - 96*d. Does 54 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 8 = 3*r. Suppose -2*a + 6 + r = 0, 4*i + 21 = 5*a. Let z = -28761 - -201331\/7. Is i >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 386 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, f: 1, p: 2, n: 1, i: 2}. What is prob of sequence fu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -144*n**5 + 184*n**2.\nAnswer: -8640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*r + 4*r. Suppose 0 = 3*h, -h + 0*h = -2*s + 60. Let u be (-2 + -1)*-1*50\/s. Solve 0 = 5*v + u*b - 15, 0*v - 4*b = r*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -13. Let v be 16\/p*(-4)\/((-24)\/(-45)). Suppose 5*s + 205 = -4*u - 38, 2*s - v = 0. What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 133 divide 2854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2204537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*l - 0. Let r(g) = g**3 - g**2 + g - 3. Let a be r(4). Let s = a + -7. What is the smallest common multiple of s and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 46047223 or 138141667\/3?\nAnswer: 138141667\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4*h**3. Let k be a(1). Suppose 5*z - 2 = 4*z. Solve -k*x + z = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = r + 2*v, v - 6*v - 5 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 3*a**3 - 19*a**2 - 127*a + 13. What is n(-8)?\nAnswer: -1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*l + 125 = 0, 3*l = 5*c - c - 97. What is the highest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 317 is divided by 80\/6*(-48)\/(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10561510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -3*a - 3*o + 3, 5*a - 3*o = 15. Solve 0 = 3*b - 2*w + 6, -4*w + 3*w = 4*b - a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 411 = -u + 25, o = -3*u + 122. Suppose 3*c + 35 = o. Suppose 5*t + c = 2*m - 5*m, t - m + 3 = 0. Sort -0.4, 2, t in descending order.\nAnswer: 2, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of -u**4\/4 + 4*u**3\/3 + 3*u**2 - 3*u - 19. Let v be f(5). Let y(w) = w - 1. Let a be y(-3). Sort a, -2, v in decreasing order.\nAnswer: v, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*g - 3*g + 14*g + 2*g**2 - 6*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 488*u**6 - 370*u**5 + 2*u**3 + 14793*u**2 + 1?\nAnswer: 58560*u**3 - 22200*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -3*w**2 - 1. Let u(c) = c - 6. Let t be u(7). Give j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1070 and -5.\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18215660965195415\/25108 - 725492311969. Let x = 6\/6277 - m. Let h = 147 - x. Which is the closest to 2? (a) -2\/7 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 12*w**3 + 3*w - 2. Let s be h(2). Suppose -2*i + 3*c + s = c, i - 25 = -4*c. What is the remainder when i is divided by -12*(-1)\/(3 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 69 and 82317?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*m + 244 = 14*m. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28081 (base 14) in base 4?\nAnswer: -120021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 4*y + 2, 6 - 3 = -p - 2*y. Let s(h) = -19*h + 5*h - 14*h. Does 7 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 4 + 13)*(-s + 0*s - 2*s) in the form t + k*s and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1101111110001010111 (base 2) to base 16\nAnswer: 6fc57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -179\/6729030 and 113\/543760?\nAnswer: 53832240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 139401760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 68\/1006209 and 103\/83664.\nAnswer: 112695408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 4*v + 323285, -14*l - 3*v + 323271 = -11*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 5*o + 5*u - 2*u, 0 = 5*u + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 5*x - 11. Let n(k) be the first derivative of k**5\/60 - 5*k**4\/24 - 4*k**3\/3 + 2. Let d(y) be the third derivative of n(y). What is -9*d(h) + 4*i(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 0 - 1 - 2*b**2 + 5 + 2*b**4 + b in the form c*b**3 + l*b + m*b**4 + o + r*b**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.35 + 11.35. Let p = -9.3 - 1.7. Let i = h + p. Which is the closest to 0.1? (a) i (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/1200*24)\/(96\/1856)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 - 18*x + 1316. What is the smallest common multiple of 1808 and g(-46)?\nAnswer: 12656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -2*u - 12. Suppose q = 2*q - 8. Suppose -4*m = -q*m + 20. Solve u*g = 2*l - 10, -l + 2*l + 5*g = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -39455\/18 - -2193. Find the common denominator of l and 57\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2*y + 8 = -0*y, 2*r + 5*y + 20 = 0. Suppose -z + 2*h - 8 = r, 2*z - h + 4*h = 19. Solve c = -c + z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70495.\nAnswer: 5, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 2*s**5 + 440*s**4 + 3438*s**3 + 9808*s**2 + 11896*s + 5088 = 0.\nAnswer: -212, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5437435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d**(7\/2))*d)**(19\/2)\/(d\/d**(-3\/11))**(2\/19) assuming d is positive.\nAnswer: d**(-19967\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -47 + (-64 - (-87 + 11)) + (1 - 2 - -1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -155*c - 285. Calculate g(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -2*x**2 + 711*x - 12791. What is s(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, y: 1, v: 4, s: 2, u: 4, d: 1}. Give prob of picking 1 v, 1 u, and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 179.43422 and 14264.\nAnswer: 14443.43422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 2\/7, -0.5, 17, -35167, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.85 - -0.15. What is the closest to r in -3, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30735155 less than or equal to 30735155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 28*w = -23*w, -2*w = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {l: 1, v: 1, b: 1, t: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 2, 0.11335, -48 in decreasing order.\nAnswer: 2, 1\/2, 0.11335, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-2\/7)*o*o*o)**(-8)\/(o**(-1)\/o)**42)**44 assuming o is positive.\nAnswer: o**(16720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62804 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**2 + 2*a - 1. Let v(y) = 178*y**2 + 40*y - 4. Let j(f) = 4*s(f) - v(f). Find the second derivative of j(c) wrt c.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2055 - 11?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 5*p**3 - 13730*p**2 + 11969525*p - 3207520500 = 0.\nAnswer: 516, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 2*k + 3 = 0. Suppose 0 = -2*n + k*n. Suppose -u + n*u = -10. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/9576 and -149\/10080.\nAnswer: 191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57995 divided by 11599.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 5*c**2 - 411*c - 1191. What is z(85)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12756 and 280188729?\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 61\/(-96) - (-2972)\/(-95104).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -557455*l**5 + l**3*q - 3*l*q + 4836*l - q - 7 wrt l.\nAnswer: -11149100*l**3 + 6*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the first derivative of 2*i**3\/3 - 128. Let j(s) = 54*s - 27*s + 42*s. What is j(b(g))?\nAnswer: 138*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 34662 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: Let s(j) = -6 - 71*j + 14 + 22*j + 6. Is s(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 - 4. Suppose 5 = z*t - 1. Suppose 0 = -2*c + 59 - t. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = -4, -4*k + 12*s - 8 = 10*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 0*x + 5. Let h be 4 + (38\/4)\/((-21)\/(-6594)). Let s = h - 988695\/331. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 727104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -2*c**4 - c**2 - 2*c + 1. Let p(d) = 285*d**4 - 4*d**2 - 647*d + 4. Let l(t) = -p(t) + 4*v(t). What is the second derivative of l(x) wrt x?\nAnswer: -3516*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47896 or 2251165\/47?\nAnswer: 47896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 41 bigger than 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0583579 to 4 dps.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**3 - 2*b**2 - b - 1. Let c(w) = 10*w**3 - 14*w**2 - 4*w - 6. Determine c(l) - 6*z(l).\nAnswer: -2*l**3 - 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**5*s)\/s**5*(s**(-2\/5))**(-3) assuming s is positive.\nAnswer: s**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-2)\/(-15)*35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 1481*l**3 - 6*l**2 + 2*l + 77. Let a(o) = 8888*o**3 - 36*o**2 + 13*o + 460. Let w(f) = -2*a(f) + 13*u(f). What is the third derivative of w(z) wrt z?\nAnswer: 8862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 90*o**2 - 2*o. What is the units digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - 11*r + 33. Calculate i(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 233085 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m**3 - m - 2. Let q(z) = 360*z**3 - 140*z**2 + 200*z + 400. Let h(t) = -3*q(t) - 600*v(t). What is the third derivative of h(j) wrt j?\nAnswer: -13680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 15*x + 531582. Is 0 + x\/(12\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 29 = 3*j + 5*p, -3*j + 4*p = 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 - -8. Let p = 3 + r. Suppose 3*u - 4 = 2, p = -a + u + 9. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178 a factor of 172605176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/d**1)\/d)**(-4\/5))**37\/(((d**1*d*d)\/((d\/(d*d**(-2)\/d))\/d*d))\/(d**(1\/4)\/(d*d**(-2\/21)\/d*d))) assuming d is positive.\nAnswer: d**(12157\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/10*9)\/(((-294)\/(-70))\/1)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*c = 26*c + 252. Sort c, 4, 6, -1 in increasing order.\nAnswer: -1, 4, 6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 10 - 2. Suppose 0*l = -n*l + 6. Solve -2 = -0*t + l*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + 0. Let l be 2\/((-6)\/(-33)) - (-5 - -1). Suppose -5*z = c*t - 15, 5*z - l = 4*t - t. Calculate the greatest common divisor of 27 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 0.3, -26\/5, -0.3, 3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-14) + 150\/14. Let g be (-91)\/((-5)\/25*-5). Let p = g - -94. Solve -3*z - 1 = -p*k + r, 4*z = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 623, 624, 621, 614, 603, 588?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 186*f**5*p - 3*f**5 + 5*f**3 + 9*f**2*p - 14*f**2 - 8*f - 2*p wrt f?\nAnswer: 11160*f**2*p - 180*f**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 + 856*h + 7780. Determine w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -9*r**3 + 2*r**2 + 2*r. Let c(z) = 10*z**3 - 3*z**2 - 2*z. Let o(t) = -2*c(t) - 3*i(t). Find the second derivative of o(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*f + 16*f = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - l)*((5 - 12 + 4)*(2 + 0 + 1) + 1 + 0 + 1).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o**3 - 175*o**2 + 980*o = 0. Calculate o.\nAnswer: 0, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 + 7*u - 3. Let c be p(6). Let s = 278 + -277. Solve -2*m + c = -s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -51 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*g**2 - 2*g**4 - 3*g**2 + 4*g**2 + (-3 - 2 + 6)*(-4*g**4 - g**4 + 4*g**4) + g**4 - 5*g**4 + 2*g**4 + 1 + 2*g**4 - 1.\nAnswer: -3*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/4, -0.3, -1728, 4 in ascending order.\nAnswer: -1728, -0.3, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 8*j + 1. Let p(a) = -9*a - 1. Suppose 0 = -5*t - 3*t - 384. Let r = t + 54. Determine r*l(g) + 5*p(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the third derivative of t**5\/30 + 11*t**4\/24 - 27*t**2. Let b(x) = x**2 + 6*x. Calculate -11*b(i) + 6*d(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 102154, 102153, 102152?\n\"Answer: -i + 102155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/23298 and -12\/13.\nAnswer: 302874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 2\/3 (b) -139 (c) -0.06 (d) 4.86 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*y - 7774 = -9*y - 3598 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + ((-4)\/(-2) - -2). Suppose -13*x = -h*x - 216. Find the third derivative of x*s**5 - 34*s**5 + 27*s**5 - 24*s**2 wrt s.\nAnswer: 1020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {k: 2, m: 5, o: 2, g: 8, i: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*x - 8 - 97. Suppose x*h = 7*h - 8. Put -22, h, 5, -4 in ascending order.\nAnswer: -22, -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -46035*q**2 + 0*q + 9 - 4*q - 6858*q**2. Let w be h(-11). Round w to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d - 2*d - 2*d)*(2 + 3 - 3) + d + 0*d - 2*d - 251665 + 749*d + 251665.\nAnswer: 746*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215668272*n**3 - 215668271*n**3 - 167*n**2 + 167*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1734935.76s?\nAnswer: 20.080275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 114*n - 2840*n**2 + 5 + 2839*n**2 - 105*n. Calculate z(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 0*s**2 - s**2 + 0*s**2 - 3 + 21 + 18*s. What is the lowest common multiple of r(18) and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.67 + 0.33. Sort -2\/5, n, 1\/2, -1\/4.\nAnswer: -2\/5, -1\/4, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20317008 divided by -16.\nAnswer: -1269813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/97 in 1\/7, -2\/19, -23?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 42, 295, 990, 2349, 4594, 7947, 12630, 18865?\n\"Answer: 37*o**3 - o**2 - 3*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -87 + 47 + 44 - 2*c + (-4*c + 3*c + 0*c)*(2 + 3 - 4) as k + g*c and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*z + 78 = -55*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 16 = -2*v. Suppose -n = v*s - 5*s - 119, -4*s = -5*n + 593. Suppose 0 = 4*i - n + 37. What is the greatest common factor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 488.92 - 489. Let i = 8 - 8.18. Let k = v - i. Which is the third biggest value? (a) 2\/5 (b) 3 (c) k (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 305, 263, 209, 137, 41, -85, -247?\n\"Answer: -c**3 - 35*c + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, m: 1, p: 7}. What is prob of sequence jmj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/9)\/((-2)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 33*f = -47, -w + 56 = -4*f + 66 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 526*b**3 - 527*b**3 - 4*b - 4*b**2 + 5*b + 2*b as y*b**2 + w*b + c + r*b**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - 10. Suppose 2*i - 15 - 21 = z. What is the greatest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = -93*y + 94*y - 8, 6*y = -f + 29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 780, -2, 5 in descending order.\nAnswer: 780, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 3*g**2 + 0*g**3 + 3341 + 5*g**3 - 4*g - 3344 in the form s*g**2 + n + f*g + b*g**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1*3*8\/12. Suppose 5*c - x*c + 2*w = -572, 5*c - 2*w + 948 = 0. Let k be -2 - (c + -2 - 0). Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 322476276.\nAnswer: 2, 3, 26873023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11325160, 11325161, 11325162, 11325163, 11325164?\n\"Answer: p + 11325159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**2 - 14624*d - 263558. Calculate m(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 2)*(-5 - 1 + 4)*((1 + m - 1)*(-2*m**3 + 0*m**3 + m**3) - 2*m**4 + m**4 + 0*m**4).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 11*r**2 - 10*r + 527. What is the thousands digit of p(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33042*m**3 - 15*m**2 + m - 59 wrt m?\nAnswer: 198252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*x + 262 = -61. Suppose -2*c + 4 = 0, -x = -m - 4*c + 408. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of -a**6\/300 - a**5\/150 - 5*a**2. Factor o(j).\nAnswer: -2*j**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19 - 6 + 2 - 3)*((-2 + 3 + 1)*(5*z - z - 3*z) + 3 + z - 3 + 49*z + z - 15*z) to s + f*z and give f.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 725902 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 216 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2681030 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 34*p**2 - 7*p - 46. Let o(r) = 69*r**2 - 15*r - 93. Let z(x) = 6*o(x) - 13*v(x). Find the first derivative of z(t) wrt t.\nAnswer: -56*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -160, -164, -168, -172?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 89 - 87. Solve 0 = -t*w + 6 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 2*y + 76, 32 = x + 41*y - 40*y. Let c(l) = 122*l - 221. Is c(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -49282 times 0.1\nAnswer: -4928.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 + -7. Let o = 3 + c. Let s be o\/(-3)*(-4)\/(-4). Is -1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide -363*(12\/(-2) + 120\/25)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5\/4, -0.5, -0.09?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lss when three letters picked without replacement from {l: 7, s: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 74 - 74 - 50*r**2 + (-2*r + 0 + 0)*(r - 4*r + 2*r) + 6*r**2 - 5*r**2 - 7*r**2.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6560 and 3840?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6 + 9)\/(-3 - 81\/(-24)). Solve -4*z - g = -m - 3*m, 3*z + 12 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*z**2 - z**2 + 49*z**2)*(z**2 - 3*z**2 + 0*z**2) + 32*z + z**4 - z**3 - 34*z - 10 - 3*z**4.\nAnswer: -104*z**4 - z**3 - 2*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 18.28484 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 548 - 63 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -5*h + 1. Let u be j(-1). Let k(t) = -24*t - 9. Let a be k(-6). Let f = a + -69. Calculate the greatest common divisor of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-1 - (-4 + 2)). What is the third derivative of 2*j**3 + 3*j**3 - j**2 - 2*j**y - 2*j**3 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of 6*r**2 + 8*r - 425. Let n(g) = -4*g - 3. Calculate -3*d(u) - 8*n(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 5*a = 35, 1319*a - 1324*a = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 36109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 3*p = 0, 0*x - 5*p = 4*x + 2. Let k(t) = t + 6 - 4 - 3 + 2*t**3. What is the tens digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1.8 (b) -2\/21 (c) -2\/17 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 3:12 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15743541593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -273.6 or 21\/152?\nAnswer: 21\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3\/(-4))\/(5\/(-20)). Let b(t) = 3*t + 0 + 19*t**v - 18*t**3 + t**2 - 4*t**2 - 1. What is b(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8b4314 + -4?\nAnswer: -8b4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 2*t = -2. Let w(p) = -p + 25. Let i be w(29). Put -5, i, t in descending order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -16*y**2 - 3. Let u(t) = 176*t**2 + 32. Calculate 32*p(b) + 3*u(b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -13653*p + 13655*p + 30 = -3*j, -6 = -3*j + 2*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together -50008.7 and -8.\nAnswer: -50016.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 4*k**3 - 10*k**2 - 18*k - 13. Let p(j) = -j**3 + j - 1. Let r(y) = i(y) + 5*p(y). Calculate the remainder when 25 is divided by r(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 2 = -2*t, 287*t + 6 = 3*z + 289*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve p = -5*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 129 and 24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 44401*q. Let h(z) = -55*z**2 + 10. Calculate h(y(x)).\nAnswer: -108429684055*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -60 - 3*c + 52 + 46 + 51 + 37*c**2 + 16*c. Is g(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.603 + 0.103. Which is the closest to -1? (a) -0.3 (b) 1 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -10 by 50971.\nAnswer: -10\/50971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2*v = i - 15, 2*i = -2*v + 20. Suppose 4*h + 9 = -4*a + 33, i*a = h + 60. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 1 = -3*m, 0 = 4*u + 2*m - 418. Let g = -24 + u. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + g = 143, 16*j - 12*j + 4*g = 108. Solve j = 31*r - 33 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 p, and 2 t when four letters picked without replacement from ypyqtyptpytycyc?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8*i**2 + 59*i + 505 wrt i.\nAnswer: 16*i + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6.3 - 6. Let w be -3 + 4\/2*8. Suppose -4*b + 12 = 4*y, -2*b = b + y - w. Sort b, 2, r in descending order.\nAnswer: b, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 5 = -4*v. Let o be 18\/(-2)*(-8)\/36. Put -22, o, v in increasing order.\nAnswer: -22, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6828, -25325, -55502, -97359?\nAnswer: -150896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 4*i + 145, 5*i + d + 4*d = -185. Suppose 610 = 8*p - 3*p. Let t = p + i. What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 20.37*-59.461\nAnswer: -1211.22057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of z**8\/112 + z**4\/6 - z**2\/2 - z. Let l(d) be the first derivative of h(d). What is the second derivative of l(t) wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -82 + 116 - 107 + 11*y. Let q be u(8). Is 156\/11 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 923783*w - 923795*w = -444 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*x**5 - 133957*x**4 + x**3 + 1732819*x**2 wrt x?\nAnswer: -120*x**2 - 3214968*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -3724*t + 5. Let p be c(6). Let i = p + 39939. Round i to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -5*w + 110, -6*s = 2*w - s - 50. Let j be w\/50 - (-56)\/(-90). Let c be (-8)\/(-30)*(-3)\/6. Put -1, j, c in decreasing order.\nAnswer: c, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -199 - 769526486.\nAnswer: -769526685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86 divided by 5.\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/28*(-6 - (-19 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*g - g - 5*g + (-2 - 2*g + 2)*(5 - 3 - 1) + g - 3 + 3 + 0*g + 3*g - 4*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8793 or -8790?\nAnswer: -8793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -371 or -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 147\/(-14)*24\/(-168)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3929 + 11786\/3. Which is smaller: o or -1\/125?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 33599*v**2 + v - 7. Let t be p(4). Suppose -t = 4*k - 121581. What is k rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, -2, -26, 3 in decreasing order.\nAnswer: 3, -2, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/3 + 3211\/15. Let y = -4603\/20 + d. Calculate the common denominator of y and (2\/5)\/((-56)\/(-470)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -67*t**2 + 10*t - 15. Determine n(6).\nAnswer: -2367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 10, c: 4}. What is prob of sequence ccoc?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -256*b - 3289. Is c(-41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 701518, 1402958, 2104396, 2805832?\n\"Answer: -f**2 + 701443*f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 + 24*c + 381. Let o be f(-11). Let d(l) be the third derivative of l**4\/24 - l**2. Determine d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 - 5*x**2 - 16*x + 72. Let t be n(8). Suppose -4*o = 11*j - 6*j - t, -2*o = 2. What is the highest common divisor of 756 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15979122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2741012547 to the power of 1\/2, to the nearest integer?\nAnswer: 52355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(2 - 0) - 4. Let u = 64435.94 + -64436. Which is the third biggest value? (a) i (b) -0.1 (c) 1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30*(-39)\/(-117))\/8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -m - 0. Let t be m\/(-3) + 222\/9. Suppose -3*z - t = -3*b - 2*b, -5*z - 14 = -4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -4*m**3 + 69*m**2 - 14*m - 38. Determine g(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1\/5*a**2 - 3\/5*a + 0 = 0. Calculate a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 5 - 13 + 0*s**3 + 12*s**3 + 22*s**2 + 10 as w*s + x*s**2 + d*s**3 + v and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -241182*g**2*v**3 - 189682*g**2*v**2 wrt v.\nAnswer: -1447092*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14619, -33583, -52547, -71511?\nAnswer: -90475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -3 + 665*l + 30 - 663*l. Let n be k(-13). Which is smaller: n or 3\/35?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 89 - 82 - (1 - -5) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1791*d**3*l**3 + 308*d**3*l**2 + l**5 wrt l?\nAnswer: 10746*d**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2685, -2696, -2719, -2760, -2825, -2920, -3051, -3224?\nAnswer: -3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -38*o + 38. Let j be y(1). Solve j = 26*m - 11 - 67 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 100880 and 8060?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 113313, 113305, 113297, 113289, 113281?\n\"Answer: -8*p + 113321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, j: 5, x: 2, e: 3}. Give prob of picking 2 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 >= 22882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 72*g**3 + 1222*g**2 - 38*g - 68 = 0.\nAnswer: -17, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 + k**2 - 2*k + 2. Let j(n) = -2*n**3 - 3*n**2 + 5*n - 5. Let l(s) = -2*j(s) - 5*r(s). Let w be l(-1). Factor 3*u**2 - u**2 - w - 2*u + 2.\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11265 is divided by 5558?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(4*3*(1*sqrt(2025) + sqrt(2025)))\/(sqrt(980)\/sqrt(4) - (sqrt(5) + sqrt(5) + -1*((sqrt(5) - sqrt(125)) + sqrt(5)) + sqrt(5))).\nAnswer: 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 603 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + sqrt(77) + (sqrt(77)*-1 - sqrt(77)))*2)*-3)\/(sqrt(11) - sqrt(275)*-1 - sqrt(11) - sqrt(132)\/(sqrt(12) - sqrt(12)*-2)).\nAnswer: -9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 808679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 24077 - 6869*x - 48151 + 24074 as j + k*x and give k.\nAnswer: -6869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 17*c**3*g*x**2 + 9*c**3*x**2 + c**3 + c**2*g*x**3 - 8*c*g + 2*c*x**3 - 10*x**2 wrt g?\nAnswer: 17*c**3*x**2 + c**2*x**3 - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 + 4*n**2 + 2*n + 3. Let j be g(4). Suppose 2*h = 3 + j. Let x(f) = f**3 - 8*f**2 + 9*f - 8. Is x(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-714)\/(-306)*(26\/(-42))\/13.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-15))\/((-72)\/160)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 635 a factor of 23798036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*b + 8*b - 10, 7*b = -2*d + 41 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1920 and 115554720?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 12:10 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -32466 - -20?\nAnswer: -32446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 0.1, -15\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 0.5 (b) -7 (c) 5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**4\/24 + p**3\/2 - 2*p**2. Let f be q(-3). Suppose 0 = -2*r + 2*g - 2 - 6, 3*r + 2 = g. Solve r = x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 633880943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 92074898 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of 5*t**4\/4 + 2*t**3\/3 - 2*t**2 - 337. Give x(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, s: 2, t: 7}. Give prob of sequence ssw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 6*y - 8. Let b be k(7). Let u = b + 28. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(343) + 0)*1)**2 + ((0 + sqrt(343))*-3)**2 + (-1 + (-1*sqrt(343))**2)*1 + -5).\nAnswer: 3767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 367 - 358 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand h - h - 2*h**2 + (3*h + h**2 - 3*h)*(-1 + 1 - 2) - 4*h**2 + 3*h**2 + 3*h**2 + (3 + 1 - 2)*(-1 - 5 + 1)*(-2 - 3*h**2 + 2).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -1.2463 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-12)*3*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 2*y**2 + 130 + 3*y - 102 + 0*y**2 - 21*y = 0. What is y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23112 = -29*c + 20620. Calculate the greatest common divisor of 104 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -134*n**2 - 2. Let w be y(-1). Let p = 0 - -3. What is the smallest common multiple of 10\/3*(w\/(-20) - 5) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*c - 260*c = 3346 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i = 750 - 706 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 11) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/6 and 87\/423104.\nAnswer: 1269312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 3*h = 6*x + 247, h + 239 = -x. Let u = x + 436. Calculate the remainder when u is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1194462*a*c**2 + 3*a*c + 1432*c**2 - 2278 wrt a?\nAnswer: 1194462*c**2 + 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2277 - 7245 = 248*l + 12550 for l.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 4, 0.19448 in descending order.\nAnswer: 4, 0.19448, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -33*i**3 + 9*i**2 + 9. Let x(v) = -16*v**3 + 4*v**2 + 4. Suppose 4*d + d - 3*b = -36, 0 = -2*d - 2*b - 24. Give d*x(g) + 4*u(g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -10100111010011110101 (base 2) to base 11.\nAnswer: -428971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -39ca - -16?\nAnswer: -39b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 2*j + 5832 = 5810, 0 = -2*w + 2*j - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 708 divide 379892493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13717 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81122282?\nAnswer: 2, 47, 863003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from {a: 1, r: 2, c: 3, g: 3, f: 4, e: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*v = 119272 - 119362 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 2*c**2 + 13713*c + 27. Let h(g) = -5*g**2 - 34281*g - 65. Determine 5*h(z) + 12*k(z).\nAnswer: -z**2 - 6849*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**3 + 2220234*a**2 - 26642409*a + 24422178 = 0. Calculate a.\nAnswer: 1, 11, 740066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/18 and -15\/2550788?\nAnswer: 22957092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**3 - 230*x**2 + 3*x - 269. Let d be a(115). Solve -146 - d = 37*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p**2 - 10*p**2 - p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 97675801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-1))\/(2*(7498\/(-1656))\/(-163)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 253*w - 107*w + 5256 = 0 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 410630820 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-2*(-1 + sqrt(500)) - (sqrt(500) + 0 + sqrt(500) + -4))*3*2)**2.\nAnswer: -155520*sqrt(5) + 2603664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 2*s + 2 = 0, 3*w - 2*s = s + 24. Let x be (-240)\/140 + 2\/(-7). Sort -59, x, w in ascending order.\nAnswer: -59, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (144\/180)\/(4\/150). Suppose -30*x + 25*x**2 + h*x**3 + 1408 - 1448 + 5*x**4 + 10*x**2 = 0. Calculate x.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -31 - -52. What is the remainder when 82 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4989814.\nAnswer: 2, 137, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 1 = -1. Let y be a*(1 - (-50)\/4). Let v be 3\/((y\/(-6))\/(-3)). Let o(w) = -2*w**3 - 4*w**2 - 3*w. Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27333537 to the nearest integer?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of 12*n + 0*n**3 - 1\/3*n**4 - 1\/30*n**6 + 0 - 1\/5*n**5 + 0*n**2. Factor d(r).\nAnswer: -r**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51645 is divided by 23666.\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -10*q - 64. Let o be u(-7). Let m(x) be the third derivative of -3\/40*x**o - 7\/8*x**4 - x**3 - 2\/5*x**5 + 0*x - 3*x**2 + 0. Factor m(p).\nAnswer: -3*(p + 1)**2*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2910, -4136, -5374, -6624, -7886?\nAnswer: -9160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -87*f*j**2*u - 2*f*j*u**3 + 68*f*j*u - 5*j**2*u**3 wrt j.\nAnswer: -174*f*u - 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 1777154794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1452 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/(u\/(u\/(u**1*u)))*u**9 assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10465 = -7*v - 2912. Suppose 101 + v = 5*t. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of -j**2\/2 + 61*j - 6. What are the prime factors of o(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1657993\/40 - -41453. Let h = w - 27\/8. What is the closest to -1 in 0.3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 56\/(-60) - 2\/(-6). Let t be (-6)\/(7\/(-5) - -1). Let d be t\/(-12)*(-6)\/(-10). Sort -3, d, q in increasing order.\nAnswer: -3, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (0 - 0) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of -11*c**2 - 10*c + 38. What is the tens digit of d(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -86.02 + 70.02. Which is the nearest to -4? (a) q (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**3 - 9*d**2 - 9*d + 50. Let w be r(-7). Which is bigger: w or -33?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 19565 (base 11) to base 3.\nAnswer: 1101102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 311, 327, 355, 395, 447, 511, 587?\n\"Answer: 6*h**2 - 2*h + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3516068558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*t - 3 = 7*t. Let v(y) = 66*y**3 + 2*y**2 - 2*y + 1. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7278956.\nAnswer: 2, 1819739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - -33 - (498 + -467)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = 5*m + 330, 0 = -5*n - 2*m + 3*m - 360. Let i = 175 + n. Calculate the lowest common multiple of 20 and i\/12 - (-2)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4855255?\nAnswer: 5, 971051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 - (9 - 3) - -18. Suppose 0 = 3*d + 5*o - i, -2*d = -d - 3*o + 4. Solve 0*t + 5*v = -3*t - 15, -d*t - 10 = 2*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*k + 22483 = 15553 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*r = -5*c + 164, -4*r - 152 = -4*c. Let i be 28\/c*12\/7. Factor -1\/5*v**2 - i*v - 9\/5.\nAnswer: -(v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -16*n**2 + 521*n + 2. What is the thousands digit of d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 7 + 5*h + 2*h**3 - 7*h in the form w*h**2 + m*h + j*h**3 + i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 585 and 43225?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -23 - (-6 + 0) - 3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-24)\/56 + (183132\/126 - 17) and 6?\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.62665 hours in minutes?\nAnswer: 397.599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 875 and 146825?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 49.97552 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1960719 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 PM and 1:19 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 14806157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(384)\/sqrt(8) + -5.\nAnswer: -6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 29*n + 47*n + 29*n - 102*n - 205 in the form p + u*n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.3, 0.8, 0.0387, 0.4, -1 in decreasing order.\nAnswer: 0.8, 0.4, 0.0387, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 AM and 7:55 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -6*o**3 + 3*o**2 + 3*o - 6. Calculate h(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.38 * 4.\nAnswer: -9.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10 - -1201)*2\/6. Let n = y + -4364\/11. Is 0 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 37 = -4*b, -b + 0 = 2. Let t be 3\/(n\/(-365))*-3. Let p = t + 334. Does 31 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 - -6421?\nAnswer: 6419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 89281657 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-270)\/225*(-485)\/(-43941)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 155536564*o - 6592011.\nAnswer: 155536564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -77604, -77601, -77598, -77595?\n\"Answer: 3*y - 77607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -162*m - 166. What are the prime factors of l(-4)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5681 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 - 3*j**2 + 3*j**2)*(-2*j + 6*j - 3*j) - 3*j**3 + 10*j**3 + 3*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1456866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (39\/(-78))\/((715\/72)\/5 + -2). Solve -112*o + 103*o = b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -464 - -276. What is the tens digit of 22*(9 + -6)*l\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226759763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*a - 53*a = 6*n + 13, -3*a = 4*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-18)*f\/f**(-2\/13)*(f\/(f**(2\/7)\/f))\/(f**(-1)*f) assuming f is positive.\nAnswer: f**(-1377\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of r**4\/3 + 2*r**3 + 4*r**2 + 395*r. Solve o(d) = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1\/98 + 1571\/294. Calculate the common denominator of z and 151\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 + 101*p**2 + 1295*p + 80. Give m(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11515114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6603, 6583, 6547, 6489, 6403?\nAnswer: 6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n - 6. Let l be k(6). Is -2\/57 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14605 at least as big as 14605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 12:46 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 130 + -57. Let s = 45 + t. Let b = s + -95. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -27*a**2 - 2*a - 3. Let f(u) = -27*u**2 - u - 2. Calculate -5*f(w) + 4*r(w).\nAnswer: 27*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 146423.\nAnswer: 146423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 226980 and 10851390.\nAnswer: 282136140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 65 and 15015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-1 + 1) - (-43 + 36) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 653126.7 months to millennia.\nAnswer: 54.427225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jbbjdbbjddb. Give prob of picking 2 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 31 + 2*l - 7*l**3 - 95 + l**2 + 27 + 30 - 3*l**2 as f*l + d*l**3 + k + g*l**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - 4*j + 62 = 0. Let h = -31 - j. Let l(v) = -v**2 - v - 1. Calculate l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14421160 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -16 in 1, 0.06, 3\/5, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 - 7*h**2 + 3. Let y(l) = 2*l + 12. Let p be y(-5). Let r be -2 + -2 + p + 9. Let v(w) = 3*w**2 - 1. What is r*v(g) + 3*f(g)?\nAnswer: 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27260202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.240042313107556 - 2.\nAnswer: -2.240042313107556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43991.\nAnswer: 43991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 93\/14147570 and -58\/2912735?\nAnswer: 99032990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 4*q - 24 = 0. Suppose -q = 4*x - 92. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 - -6 - (8 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 247*m**2 + 10*m - 165. What is the ten thousands digit of g(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j = 11*x + 54, -3*x = -5*j + 11 + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*q - 11*v + 25, 2*q = v + 2 - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -173712 divided by -11?\nAnswer: 15792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 + 4*o**2 + 6*o - 6. Let h be r(5). Let t be 7\/(-3)*(10 + h). Let y = t + 58. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 56592\/(-1008)) + (4\/(-14))\/(-2 + 4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48 + -42. Suppose -6*c = -3*c - 12. Suppose -98 = -c*k - 2. What is the greatest common factor of h and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -299 = -6*m + 49. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 35 + -14. Suppose -10 = -4*p + 5*i, k = 3*p + i + 2*i. Suppose p*m - 24 = o, -3*m + 26 = o + 2*m. Is o at least as big as 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-34)*5\/10*2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1119, 2232, 3369, 4548, 5787, 7104?\nAnswer: 8517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11494 + -11398. Calculate the greatest common factor of g and 4096.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 + 12*p**2 + 31*p - 30. Let h be l(14). Solve -h = -3*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = v - m, -11 - 57 = -14*v + 3*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -6413\/9 >= -712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 2:33 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 81*m - 3. Let u(g) = -82*g + 2. Let p(w) = -4*u(w) - 3*v(w). Let l be p(5). Suppose -26 = 2*c - l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 9979 and -4569985289?\nAnswer: 4569995268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(1\/(-2)*14). Let u be (-11)\/(22\/(-10)) - 1. Let s be (-2)\/12*-2 - 0. Which is the smallest value? (a) f (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 + 9*o + 16. Let l be k(-7). Let s(y) = y - 1 - 1 + 4 + y**2. Determine s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12cb (base 14) in base 12?\nAnswer: -1b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 380 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 41*n**2 + 114*n + 21. What is f(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 125 = -0*a. What is the remainder when a is divided by (-6)\/4 - 187\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 + 3*c**2 - 8*c + 4. Let x(s) = -3*s**3 - 5*s**2 + 16*s - 7. Determine -5*b(i) - 3*x(i).\nAnswer: 4*i**3 - 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n + 1. Let u(m) = -376 + 184 + 193. Give d(c) + 3*u(c).\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -35.6 + 32. Let r = -4 - o. Which is the third biggest value? (a) r (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 78232.20286 + -78233. Let n = -0.7 + -0.1. Let h = n - y. What is h rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 6 = -3. Suppose 72 = o*y - 2*y. Let s be -1 + (-1 - 0)*-10. Calculate the highest common factor of y and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i. Let a(d) = d**2 + d + 275. What is j(a(n))?\nAnswer: n**2 + n + 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -136 - -174. Let l = -22 + p. What is the remainder when l is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -105503*q**3*t**2 - 6*q**3*t*x - 3*q*x - 8*t**2*x + 16898*x wrt t.\nAnswer: -211006*q**3 - 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i + 20. Let c be r(17). Suppose -4*j + 85 = -5*f, -c*f - 4 = f. What is the least common multiple of j and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 885 divide 4804665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (1\/1 + -4)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 10 = 0, 0 = 3*m + 4*l - 4857 - 122. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -0.104, -1\/3, -15, -0.6?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 2*k + 1347 - 259, 2 = 2*k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.9 + -2.9. Which is the nearest to -6? (a) 1\/4 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1226 - -837. Let q = -389 - a. Is -8\/109 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2*p = -441, 4*k - 222 = -p + 371. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -304, -8, 253 in descending order.\nAnswer: 253, -8, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 200218476.261 less than -10.33?\nAnswer: -200218486.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2744 and 11354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4314947 rounded to the nearest 1000?\nAnswer: 4315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, 4, -1, -455 in descending order.\nAnswer: 4, 3, -1, -5, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 641383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3211 - 3209. What is the smallest common multiple of 362 and n?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 2:08 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1516 divided by -4?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 + -11 - 5) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 913 - 4710?\nAnswer: -3797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - p = -0*p + 64, 2*l + 4*p = 8. Let j = 59 + -115. Let g = j + 90. Calculate the remainder when g is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 + (-10)\/(-45) + 99305\/45 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 23b78e (base 16) to base 6.\nAnswer: 122100450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -2, 69, -1, 82 in decreasing order.\nAnswer: 82, 69, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*x + 8. Let q be 1\/(-5) - (-142)\/x. Suppose 0 = -z - 3*m + 20, 3*z - 41 = 4*m - 7. Calculate the highest common divisor of q and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 589\/720 + 19\/80. What is the common denominator of -77\/10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.9 + 1.2. Suppose -y + 4 = 0, 0 = -0*d + 3*d + 4*y - 16. Which is the nearest to d? (a) -3 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) -4 (c) 263.874 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(78) - (-3*sqrt(78)*-2 - sqrt(78)))*2*-1)\/(sqrt(24)*-3 - (sqrt(96) + sqrt(24))))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*m + 9 + 13 = 0. Let i be (-2 - -5 - m) + (-287991)\/(-9). What is i rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the second derivative of -w**5\/20 - w**4\/12 - 3*w**2\/2 - 44*w. Let k be (-12)\/4 - -2 - -4. Suppose -k*x = -x. Give d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5937 + 5937.05. What is the closest to -1 in k, -1.9, 1\/8?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4576\/(-260))\/((-4)\/10). Let l = 73 + -40. Calculate the greatest common factor of l and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 10:16 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 45 = -5*k. Suppose -k = 5*w - 29. Let o = -5 + 15. What is the smallest common multiple of o and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/48 and -121\/108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*3*(-25)\/(-315)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from {j: 2, e: 2, y: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1837 is divided by 64?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x = -0*x - 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(190)\/(sqrt(90)*-4 + sqrt(10)) + (sqrt(171) - (0 + sqrt(171) + 1))*3.\nAnswer: -3 + 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 32864 and 152384?\nAnswer: 156498368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 29 = 5*r, u + 2*r = 2*u - 11. Suppose -u*i + 888 + 2205 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - a - 29, 5*q - 15 = 2*a + 18. Suppose -b = q*c - 2*c - 68703, -2*c + 45815 = 5*b. What is c rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215*b - 275*b**2 + 8 + 273*b - 7.\nAnswer: -275*b**2 + 488*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -3, -0.1 in ascending order.\nAnswer: -3, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 497182537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2)\/(n*n**(4\/3)))\/(n**(-2)*n*n\/(n\/((n*n*(n*(n*n*n**(6\/7))\/n)\/n)\/n))) assuming n is positive.\nAnswer: n**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 10 + (-32 - -42 - (-3 + -37))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**3 + 8*c**2 + 10. Let b = 22 + -14. What is p(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 6, c: 7}. What is prob of sequence pc?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 15 = 0, 2*g - 2*q - 18 = -g. Suppose n - m + 70 = 6*n, 59 = 3*n + g*m. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -56 + -48. Let v = n - -100. What is the second biggest value in v, 20, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 11.24, -2\/13, 1 in increasing order.\nAnswer: -10, -2\/13, 1, 11.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4931800 and 1380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - 6)*64\/(-10). Let z = k - 9. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1483 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 55*f - 490. Let l(r) = -44*r + 385. Let h(y) = -14*l(y) - 11*p(y). Let d(i) = -287*i**2. What is h(d(n))?\nAnswer: -3157*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.2128167t?\nAnswer: 212816700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.2 + 0. Let j = d + 0.2. Let p be 46\/(-12) + 1\/(-6). Which is the nearest to j? (a) p (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 5*z + 1545. Calculate the lowest common multiple of 1323 and m(69).\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 - 23. Solve y - 10 = g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*o**4 + 5*o - 5*o + (o**3 - 2*o**3 + 2*o**3)*(3*o + 0*o - o) + 0*o**3 + 0*o**3 - 4*o**4 + (-o - o**4 + o)*(3 - 6 + 5) - 2*o**4 + 2*o**4 + 5*o**4.\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -247123, 1, -1604 in decreasing order.\nAnswer: 1, -1604, -247123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2 + 8*o + 7. Calculate s(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/6 + 12\/72. Suppose j = -7*b + 60 + 17. What is the remainder when 41 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + -1548.\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5.4 + -0.4. Let v = 32 - 31.5. Sort 3\/5, f, v in ascending order.\nAnswer: v, 3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l + 2. Let r be i(0). Suppose -3*h - 3*g + 7 = -r, -5*h = -3*g - 23. Solve 3*a - 2 = h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -10656, -20847, -30584, -39861, -48672?\n\"Answer: k**3 + 221*k**2 - 10861*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 23*k**2 + 6 + 2*k**3 - 4*k**3 + k**4 - 22*k**2 + 25*k**4 - 3*k**4 as a*k**2 + q + m*k**3 + u*k**4 + c*k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -1\/345, -0.1, 15.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (-42 + (23 - 9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k + 3*k - 2*k)*(-3 + 1 + 3)*(2*k + 2*k - 5*k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5360 - 5357. Let a = -12 + 15. Solve a*u + 8 = -2*w, -q*u = u + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2433 greater than or equal to -2519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 22399930738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14 + 24. What is the least common multiple of 75\/10 - (-2)\/4 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -5 (b) -93 (c) 1.9 (d) -0.2 (e) -785\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1140*a**2 - 4437*a?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 77.26 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -4, 288 in ascending order.\nAnswer: -4, 13, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i. Let n(g) be the first derivative of -7*g**2\/2 + 2. Determine z(n(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*h - 5 = 17*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 + -4)*(-3 + -1). Suppose 0 = -4*s + j + 7, -j - 4 = -h*s + 3*j. Solve -4*p - 2*m = -m + 20, -s*m - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of c**4\/4 + 10*c**3\/3 + 13*c**2\/2 - 71*c. Let g be a(-6). Solve 15 = 4*v - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -121 (base 6) to base 14\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 12 + 9 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 0.9761. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 971845, -3, -76 in increasing order.\nAnswer: -76, -3, 971845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r - 14*r - 4*r + r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 100531110 (base 6) to base 15\nAnswer: 24062c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate f**2*v + f**2 + 271*f*v**2 - 361*f wrt v.\nAnswer: f**2 + 542*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12.7 + -12. Let r = 5.3 + c. Let o = 2 + -1. What is the third biggest value in r, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 7670*t**2 - 13*t + 1. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22805 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be -420 + 32\/14*238\/68. Which is smaller: -418 or n?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 6*k**2 + k - 4. Let n be p(6). Let g = 150 - 1201\/8. What is the nearest to 2 in n, g, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**2. Let x(c) = -3*c - 1. Let j be x(-2). Let p(u) = u - 3. Let l be p(j). Let g(h) = -2*h**2 - h**2 + 4*h**l. Give g(n(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = 2*l + 12, 2386*b - 7*l - 28 = 2381*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 19770827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-8 + 0) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -234.696126 take away 368?\nAnswer: -602.696126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1146551.\nAnswer: 7, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, k: 12}. What is prob of sequence dkk?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9460 and 10750?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 13268491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 566 - 565. Let w = 55 - 38. Calculate the remainder when w is divided by i + -2 - (-21 + 2 + 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -43052, -43027, -43002, -42977, -42952?\n\"Answer: 25*f - 43077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -y**3\/2 - 98*y**2 - 384*y = 0.\nAnswer: -192, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3bc3 - 1f?\nAnswer: -3be2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 283 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/54 and (-8)\/(3 + -1) + 334\/120?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - 5*n - 1410 - 342, -3*n + 3478 = -4*t. Let w = t - -877. Which is greater: w or 61\/9?\nAnswer: 61\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-22)\/4*(5 - 3). Let q be (n\/(-4) - 4)*-4. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 136873984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9046 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -477026400 rounded to the nearest 100000?\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y + 142 = -96. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -2*s - 7. Let b be p(-5). Suppose -m = b*m - 12. Calculate the smallest common multiple of (-6)\/(-9) - (-52)\/m and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -8.68037325 and -1.6743.\nAnswer: -10.35467325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -5*g**2 - 1 - 13 + 11 + 10 + g**3 - 2*g. What is s(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*a + a - 3 - 24*a + 10*a**2)*(0*a**2 - 5*a**2 + 3*a**2).\nAnswer: -20*a**4 + 2*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/(-30)*(-3)\/1. Solve -2*c + j = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -649.212 - -648. Let z = 0.048 - m. Round z to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -2639\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -2*m - 9, -5*m = -4*t + 8 + 3. Which is smaller: t or -3\/757?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -2, 1183, 0.\nAnswer: -2, 0, 16, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -227*a = -229*a - 550. Let r = a - -277. Solve -r*f - 20 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1791.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 3963 - 3979 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 17 = 14. Let a(u) = -27*u + 1. Let g(f) = 28*f - 1. Let z(n) = -6*a(n) - 5*g(n). Is z(r) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 6) + (7 - -2 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*t + 16*t**2 + 2*t**3 - 38*t**2 + 4*t**3 - 21*t.\nAnswer: 6*t**3 - 22*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -418291?\nAnswer: -418291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 49, 180, 415, 772, 1269, 1924, 2755, 3780?\n\"Answer: 3*g**3 + 34*g**2 + 8*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 28 - 18 - 10 - 64*o to j*o + i and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 10110010100 (base 2) to base 13.\nAnswer: 85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 PM and 11:16 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j - 4*j - 4*j + 0*j - 17*j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2146386.\nAnswer: 2, 3, 11, 17, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = r + n, 5*n - 18 + 38 = 3*r. Solve 21 = -2*v - r*s + 2*s, 5*v - 3*s = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 472 and 19706?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (128\/(-1040))\/((-2)\/95) + -6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -174.000139 - -174. Round h to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 45, 48, 17, -66, -219, -460, -807, -1278?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8851 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 6934.296t?\nAnswer: 6934296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 140.5812 rounded to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 176321051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + r**3 - r**2 + 4*r**2 + 4*r**2 - 2*r**4 - 3*r**2 to d + u*r**4 + s*r + z*r**2 + b*r**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 70876\/8933 and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2 times 14880061\nAnswer: -29760122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9.1 + 9.2. Let l = 137.48 - -1.52. Let h = l + -138.977. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*r + 84 = 15*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 + 12*x**2 + 8*x - 16. What is the tens digit of o(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 3*v**2 - v + 3. Let q be t(0). Suppose -3*g - q = j, 2*j + 0*g + g = -1. Solve 3 = -j*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -40*n + 1. Let d be v(-1). Let m = d + -39. Solve -r = h - 10, -4*h + 25 = -h + m*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q*(q\/((q\/(q\/((q*(q*q*q*q\/q**(-6))\/q)\/q))*q)\/q*q)*q)\/q*q)\/q)\/q)\/q**(-5))\/((q*q**(3\/4)*q)\/(q**(-6)*q)) assuming q is positive.\nAnswer: q**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w + 4. Let l be h(-10). Let v = 16 + l. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -3*n**4\/2 - 6*n**3 + 3*n**2\/2 + 24*n + 18 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(220)\/sqrt(4)*6)\/((sqrt(66)*2)\/sqrt(6)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 515 - -41247. What are the prime factors of x?\nAnswer: 2, 7, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, j: 4, f: 2, x: 2}. What is prob of picking 2 f and 2 x?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 30119778\/4711 - 12787\/2. Let j = -51851\/282660 - h. What is the common denominator of j and 13\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.08 - 3.08. Which is the closest to -0.1? (a) 3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 5*q**2 - q. Let x be f(-1). Suppose -x*l + a = -l - 13, -2*a - 2 = 2*l. Solve 5*v + l*u = -3, -v - 5*u + u = 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 116562 * -2.9.\nAnswer: -338029.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15097 - 15093. Solve -10*s = -l*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16 greater than -12195\/244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*j - 16*j + 534 + 23*j - 534.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -9.69126 to 2 decimal places.\nAnswer: -9.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/27 + (-8)\/(-117). Let y be (-46)\/(-3) + -221 + 205. Which is the nearest to y? (a) -1\/11 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (0 + -1)\/(9\/(-3231)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 287965.\nAnswer: 5, 57593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - 7 - 177\/(-21) - 4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3\/18631 + 148997\/316727. Suppose -10\/17 + f*l + 2\/17*l**2 = 0. What is l?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -136.28 - -133.1345. What is l rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 8485516 divided by 58\nAnswer: 146302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b + 1, -u - 4*b - 1 - 1 = 0. Does 17 divide 114 + (-2 + 1)\/(u\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2500) + (sqrt(2500) - -1*sqrt(2500)*-2))\/((sqrt(245) - -2*sqrt(245) - sqrt(5))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is z in z**3\/2 - 66168*z**2 + 397001*z\/2 - 132333 = 0?\nAnswer: 1, 2, 132333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/3)\/(25\/(-3)). Which is the closest to -0.1? (a) m (b) 9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (12\/(-10))\/(2\/(-20)). Let y = -50 - -54. Solve -4 = -y*h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 117695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -855276000 to the nearest one million.\nAnswer: -855000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p - 21. Let n be h(-9). Put -1, 5, n in ascending order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239362489 > 239362490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2091995*p**2 + 1046753*p**2 + 1045245*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19074055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -14746, -29684, -44622, -59560?\n\"Answer: -14938*m + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*u + 80 = -371 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*m + 3*q + 5 - 28, 5*q = 3*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) -44 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-72)\/192 - (203\/8 + (-352)\/32).\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.33 + 0.03. Let j = -0.86 + n. Sort 0, -8, j in decreasing order.\nAnswer: 0, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21)\/4270*(-3185)\/(-1911).\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (0 - -2) + -7 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 59 + -65. Calculate the common denominator of (-108)\/20*g\/(-36) and -36\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 + 7*b**2 - 6*b + 10. What is n(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2*g**3 + 14*g**2 - 42*g - 34. Give r(4).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 7*i - 4. Determine x(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 66.22117 to 0 dps.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 9170*b**3 - 2*b**2 - 3*b - 1. Let l be x(-1). What is l rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 43 + -33. Suppose 2*t - k*t + 3272 = 0. Let v = t + 1129. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 497706 and 616.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**2 - 8*n - 13. Calculate t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 0.006 (c) -0.38 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-8) - (-10)\/8. Let r be (-10)\/((0 - 2)*f). Suppose 0 = d - 3*d + 2. Solve -w = -d + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 5*h + 245 = 0, 4*c + 2*h - 128 = 62. Suppose -55*g = -c*g. Solve g = 12*y - 14*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23200, -46398, -69620, -92878, -116184, -139550, -162988?\nAnswer: -186510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 - 1 + (0 + 0 - 2)*(0 - 1 + 0))*(4*k - k - k) + (4 - 2 - 1)*(0*k - k + 7*k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2046 divided by 1.\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 43298146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (254\/5 - -2) + 0. Let n = b - 1039\/20. Find the common denominator of (-130)\/(-8) - (-336)\/(-448) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, o: 1, f: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 573 or 662?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 5*n = -523, 21*g + 2*n = 17*g + 1054. Let w = 280 + -142. Let x = g - w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*j**2 - j**2 + 8*j**2)*(116 - 58 - 58 - 92*j**2) in the form t*j + g*j**3 + x + l*j**4 + u*j**2 and give l.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 13*m**2 + 12*m - 14. Calculate the lowest common multiple of 21 and c(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 27*d**2 + 3*d + 2. Suppose -3*s + 17 = 5*o, 4*s + 24 = 5*o - 0*o. Calculate the remainder when t(s) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -9*q**3 + 6*q**2 - 5*q - 6. Let j(l) be the first derivative of -17*l + 17\/3*l**3 - 7*l**2 + 10 - 13\/2*l**4. Give -6*j(a) + 17*k(a).\nAnswer: 3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nyngnnwnygyn. Give prob of picking 3 y.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4.5 - -27.5. Do 2\/5 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-168))\/(6\/14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11511\/(-5116) - ((-1023)\/12 + 1).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*t - 487 + 172 = 0. What is the fourth biggest value in 2\/5, -0.3, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(63)*-4 - sqrt(63)\/sqrt(441))**2.\nAnswer: 7225\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32364402?\nAnswer: 2, 3, 7, 110083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1303\/17 or -68?\nAnswer: 1303\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, y: 4, m: 12}. What is prob of picking 1 y and 1 h?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3916 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in -29, 10, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10.5811 - 0.4189. Let s be -3 + 2 + (-5)\/1. Let v(n) = n**2 + 7*n + 2. Let g be v(s). What is the third biggest value in g, f, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - -1) + (0 - (2 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5580\/6200)\/(((-18)\/(-15))\/(4\/10)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-5456)\/465 - -19 - (6 + (0 - -1))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8610366 less than or equal to 8610254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + d = -11, 2*g + 5*d + 18 - 5 = 0. Let h be 3\/9*2*g. Suppose 7*n - 3*n - 12 = 0, -h*q - n + 203 = 0. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1393 greater than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/3)\/(-3)*(-5)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22110, 22117, 22124, 22131, 22138?\nAnswer: 22145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002284171104 to six decimal places.\nAnswer: 0.002284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.86 * -0.2121.\nAnswer: -0.182406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 + 56 = 5*f + 5*p, 2*f - 22 = 5*p. Is 20 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(374)\/(sqrt(33)\/(sqrt(3) - (sqrt(9)\/sqrt(3) + sqrt(3)))))\/(sqrt(242) + -5*(sqrt(242)*-1 - sqrt(242)) - sqrt(242)))**2.\nAnswer: 17\/12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -3*c**2 + 6*c - 6. Let v be (1 + -2)\/(1\/(-6)). Suppose 34 = 77*w - 79*w. Let d(i) = -8*i**2 + 17*i - 17. Calculate v*d(u) + w*p(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 AM and 1:35 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -488*p**2 - 553 - 488*p**2 + 102 - p + 978*p**2 to s + m*p + u*p**2 and give s.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10272949 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 53912981\/199235 - -2\/39847. Which is smaller: 270 or b?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*t - 3 = 3*o - 22*t, 4*t = -6*o - 2. What is the second biggest value in o, 5\/3, 0.4, -3\/4, 6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 - (1 - 0 - -1). Suppose -2*v - 42 = -s*v. Calculate the remainder when v is divided by (-1 - -2)*(-6 + (-1 - -18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 6 = -11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9404 - -9404.06. Which is the smallest value? (a) n (b) -5 (c) -0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 163 = 169. Which is smaller: h or -19\/6?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -28001*f**2 - 2*f + 8. Let a be d(-4). What is a rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**3 + v**2 - v + 2. Let n = -5 + 3. Let t be (-2)\/(n\/(1 - -1)). What are the prime factors of u(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239 a factor of 165276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 3*s**3 + 39*s**2 + 139*s + 278. Give t(-8).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -7371.396991 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 + -15. Suppose 0 = -4*a + 3*l + 321, -3*a = c*a + 3*l - 408. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*u + 2*q + 24, 0 = -3*q + 12. Let v(z) = 7*z**2 + 5. Let s(x) = -60 - 53 - 13*x**2 + 104. Determine u*v(f) + 6*s(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 91.1.\nAnswer: -9.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cprvric. What is prob of sequence picv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 512485 = 5*d + 3*g, 512510 = 5*d + 3*g - 5*g. Let t be (d\/15)\/(1\/(-600)). What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(36\/(-236)) + 707\/(-101)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4651114 and 13.\nAnswer: 4651114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be 7 - 12 - (-3 + 520). Which is greater: -0.2 or t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2*r**2 + 33*r - 8. Let g be y(-16). Let w(k) = -k**2 - 25*k + 68. Let i be w(g). Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**3 + 35*g + 64. Let z be d(-2). Solve -z*c = 169 - 165 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27583?\nAnswer: 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-22)\/(-385)*-10)\/((-8)\/140)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 29, -5, -180 in decreasing order.\nAnswer: 29, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2.36934 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -2*k - 3*o, 17*o - 15*o = 2*k - 2. Which is the biggest value? (a) 2\/3 (b) -71 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/1850 and 91\/4842560.\nAnswer: 24212800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 1) + 0\/2. Let f be 0 + -8 - (-28 - -16). Sort f, -15, i in decreasing order.\nAnswer: f, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -y**5\/20 - y**4\/2 - y**3\/3 - 3*y**2 - 6*y - 8. Let b(g) be the first derivative of a(g). What is b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 100100111010 (base 2) in base 4?\nAnswer: 210322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4 + (-16 - -4)\/4 - -14. Suppose -6323 + 2363 = -24*z. What is the highest common divisor of l and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6918 in 4, 0, 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -7*r - 5. Let n be d(-5). Let z = 15 - n. What is the units digit of (-99)\/z - (-6)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(2 - (-1095)\/(-549)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -4*g**3 + 8*g**2 + 35*g + 51. Let o be s(-3). Solve 9*p + 99 = o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -11) + (-153)\/18 - (-44)\/56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -13*j**2 + j + j**3 + 4 + 0*j**2 - 7. Let f be w(13). Suppose -13*t + 3 = -f*t. Which is bigger: -2\/25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the third derivative of -y**8\/224 + y**7\/70 - y**5\/20 + y**4\/16 + 6*y**2. Factor b(n).\nAnswer: -3*n*(n - 1)**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2279 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1055.344 meters in centimeters?\nAnswer: 105534.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5 + 320449161.\nAnswer: 320449160.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**2 + 15790*f + 15792.\nAnswer: -2*(f - 7896)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1392, -1399, -1420, -1461, -1528, -1627, -1764, -1945?\n\"Answer: -g**3 - g**2 + 3*g - 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + l = -110. Calculate the lowest common multiple of 18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 381216202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4377254, 4377253, 4377252, 4377251?\n\"Answer: -p + 4377255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the third derivative of -2123*v**4\/24 + 182*v**3\/3 - 5*v**2 + 6*v - 3. What is the first derivative of k(p) wrt p?\nAnswer: -2123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, i: 1, h: 2, k: 1, r: 1, n: 1}. What is prob of sequence ha?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 14*y - 4 = 3, 5*p = 207*y - 212*y - 45 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 - 3*q + 1. Let b(n) = n**3 + 7*n**2 + 11*n + 9. Suppose 3*d = 12, 2*r - 5*d + 0*d = -30. Let s be b(r). What is f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 296 and 3589.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.0217 - -0.0217. Put 1.14, u, 1 in descending order.\nAnswer: 1.14, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (24\/(-576))\/(-3 + (-5)\/(-2)). Let h(o) be the third derivative of 0*o + 0 - 17*o**2 - 5\/6*o**4 + 25\/6*o**3 - z*o**5. Factor h(q).\nAnswer: -5*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -2*h. Let c(l) = 32162920*l. What is o(c(b))?\nAnswer: -64325840*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*j - 5*j - 295. Suppose -7 + j = 4*g + 3*i, 0 = -2*g - 3*i + 32. Calculate the smallest common multiple of 9 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-12) + 2\/(-8). Solve -7*n = -5*n - 4*z + 16, 3*z - 6 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1891558 (base 11) in base 15?\nAnswer: 43145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -869610, -869715, -869888, -870129?\n\"Answer: -34*v**2 - 3*v - 869573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/(-9))\/(1\/(-6)). Let i be (g\/(-2))\/(3 - 2). Let b = 2 + -1. Sort i, 0, b in descending order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1809103 > 1809106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1847344, 1847371, 1847398, 1847425, 1847452, 1847479?\nAnswer: 1847506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 131766 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 7:26 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rsx when three letters picked without replacement from vvxxvvrvsvvqqxxqr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -3805904 and -3805903 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2928856 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(1377) - -1*(sqrt(1377)*1 + sqrt(1377))))**2 + ((sqrt(1377) - (sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 0)))) + -3 + 1)**2.\nAnswer: -108*sqrt(17) + 12401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 161 = c, -83*b = 61*b - 57*b + 3393 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 + 36*b**2 + 67*b - 19. What is t(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4088)\/(-365) + 12\/(-10). Suppose -v = -2*s, -s + 796 = -2*k + 3211. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*z + 2*z + 4*z)*(-15*z**3 + 14*z**3 + 25*z**3)*(z + 3*z - 3*z + (z - 3*z + z)*(0 + 1 - 2) + 254*z - 149*z - 126*z).\nAnswer: 456*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 49654*q**3 - 5035*q**2 + q?\nAnswer: 297924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*f + 7*f + 6*f)*(0*f + 0*f + 1 - f).\nAnswer: -8*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -9412164 divided by 9\nAnswer: -1045796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274 is divided by 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000032100041 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of 3*d**4\/4 - 2*d - 178. Let o(g) be the first derivative of -g**2 - 3. Calculate b(o(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 15 - 160. Suppose -3*w + w + 30 = 0. What is the remainder when q is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (31 + -32)\/(2*(-22 - -4))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10898 is divided by 5449.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - 575 = 4282*w - 4293*w, a - 3*w = -159 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.5032417 + 5.793205. Let d = a - 0.29. Round d to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -85.9 - -86. Let z = 0.2 - 0.4. Let t = 0.2 + z. Which is the nearest to t? (a) 1\/7 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 218 - 56 = 0. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -1466*i + 165. Calculate the least common multiple of 99 and n(-3).\nAnswer: 50193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 c, and 2 m when four letters picked without replacement from {m: 10, w: 7, c: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -9*w + 39. Let u(p) = 8*p - 38. What is -6*a(g) - 7*u(g)?\nAnswer: -2*g + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-25)*2\/2*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/39, 2\/3, 1\/6, -1 in ascending order.\nAnswer: -1, -2\/39, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is m in -2*m**3\/7 - 1278*m**2\/7 - 3820*m\/7 - 2544\/7 = 0?\nAnswer: -636, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + -2 - (2 + (16 - (9 + -11)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/3 - -2)*1. Suppose 2*u + p = 6. Is 2 a factor of 0\/(-4) - -2*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 130 + -71. Suppose -61*u = -q*u - 1102. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 85 in -0.4, -1, 1\/2, -639, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 416343*g**5 + g**3 - 2*g**2 + 6140077*g?\nAnswer: 8326860*g**3 + 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/4)\/((-51)\/(-34))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 + 5*h**2 - 3*h - 5. Let l be r(4). Let y be (-5 + l)\/(6\/(-4)). Let b = -66 + 61. Sort b, 3, y in ascending order.\nAnswer: b, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4225, -4222, -4219?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -3*i + 4. Let u = 5 + -2. Let p(t) = 4*t - 4. Let v(l) = u*p(l) + 2*z(l). Let w(y) = 7*y - 5. Determine -6*v(h) + 5*w(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 + 5*q + 9. Let f be h(7). Suppose -2*a - 13 = -5. Put a, f, -2 in increasing order.\nAnswer: f, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5997 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 6*f**2 + 2*f + 9. Let j be w(-6). List the prime factors of 3*(2 + 16) - j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4275\/6200 - 2\/31) + -1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 - 11*x**2 + x + 14. Let l = 22 + -33. Let n be o(l). Suppose 2*u - 30 = 4*y, -n*y + 3*u - 20 = u. Is -12 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.21 bigger than -0.005898472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34947 divided by -3883.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -7*m + 65. What is i(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 9:29 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from onnnnonnnnnn. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -684 + 693. Solve p*g = 4*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 4)*(-4 + 3 + 2)*(92*b - 1 - 91*b - 10) + (-13 - 10 + 12)*(b - 4*b + 0*b) + 2*b + 5 - 5.\nAnswer: 30*b + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -140 + 1862. Is 41 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24.1161 - 5?\nAnswer: 19.1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -3*a**3 + 31*a**2 - 15*a + 43. Calculate x(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 15554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-58*a**2 - 13283 + 13283)*(-6 + 3 + 0).\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the third derivative of -91*r**7\/15 + 433*r**4\/8 - 36*r**2 + 22*r. Find the second derivative of i(v) wrt v.\nAnswer: -15288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*i**2 - 18*i**2 - 110*i - 23111 - 681*i + 23109 to x*i**2 + p*i + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-110 + 110 + 98*t)*(-2*t + 2*t + 2*t**2)*(-7 + 19 - 2*t**2 + 18).\nAnswer: -392*t**5 + 5880*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7730 is divided by 115.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26515*i**2 + 26512*i**2 - 1 + 1.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 232*m*q**2 + 95*m wrt q?\nAnswer: 464*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (3*g - 5*g + 3*g)*(6*g + g - 4*g) - 2*g**2 + g - g + (17*g + 18*g**2 - 17*g)*(0 + 5 - 1) in the form k + t*g**2 + p*g and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -82.1266138 to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -674*m*v**5 + 28061*m*v**4 + m*v**2 + 3*m*v + 312*m - v**2 - 43*v - 3 wrt v.\nAnswer: -40440*m*v**2 + 673464*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 + 28 = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 3*g + 2*g)*((2 + 0 - 4)*(0 - 3 + 2) + 2 + 3 - 4).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do -8299125 and -8299124 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 4*i + 2, 5*k = 246014*i - 246013*i - 31 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15\/317 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of -6.683 and 28846384.\nAnswer: 28846377.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -205*m**2 - 1648*m - 64.\nAnswer: -(m + 8)*(205*m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**5\/30 + 373*b**4\/3 + 556516*b**3\/3 - b**2 - 272*b. What is r in d(r) = 0?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2672, -5166, -7660?\nAnswer: -10154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 - 17*s**2 - 4*s + 15. What are the prime factors of b(-17)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/6 + (-10)\/(-6). Let d = 23 + -32. Let n(o) = o**2 + 8*o + 6. Let c be n(d). Solve 2*j - 25 = 3*w, 0 = v*j + j - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 + 7. Let z(m) = 4*m - 42. Let s be z(11). Suppose -6 = -s*x + u, -u = -5*x + 2*u + 13. Suppose 2*h - 4 = 4*q, 4 + 1 = 3*h - x*q. Give n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 193*u + 1323 = -1379 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or 306?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -0.16, 1\/9.\nAnswer: -0.16, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is p in 0 + 2\/13*p**2 + 70\/13*p = 0?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 13*f - 13. Let x(m) = -1061*m + 536*m - 6 + 531*m. What is 4*d(j) - 9*x(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 11:46 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 + 11*l**2 + 22*l + 90. Let n be b(-9). List the prime factors of 9\/n - 10941\/(-18).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 4:37 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40, 82, 124?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (95 + -5 - 32) - -41.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 2. What is the remainder when 3 is divided by 2 - (3 + t)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j and 1 y when four letters picked without replacement from jkuiujjyjqyi.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 6248, -3, -57, -179 in descending order.\nAnswer: 6248, 1, -3, -57, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -301*k*n**4 + 13*k*n**2 + 186131929*k + 311*n wrt n?\nAnswer: -1204*k*n**3 + 26*k*n + 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 5 + 20354*l.\nAnswer: 20354*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum -42.0039 and -0.3.\nAnswer: -42.3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 10*m**2 + 105*m - 409. Determine j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -61*v + 1. Suppose -3*i - n = -1 + 5, 9 = -5*i - 4*n. Let b be f(i). Suppose 0 = 5*p + 2*x - 79, 4*p - b = -0*x - x. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from puquq. Give prob of picking 1 p and 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - 3. Let c = -96\/7 - h. Let p = 4.5 - 3.5. Put c, p, -5\/4 in descending order.\nAnswer: p, c, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -6*z**2 + 5*z**3 - 6 + 2*z**3 - 12*z**3 + 7*z**3. What is the second derivative of j(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -15*d**3 - 3*d**2 - 2*d - 1. Let t be w(-1). What is the nearest to 0.1 in 1, t, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3241931*l**2 + 975416*l.\nAnswer: -6483862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -29*h**2 + 536*h + 291. Determine u(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/21*w**5 + 4\/7*w + 10\/7*w**3 - 2\/7*w**4 - 34\/21*w**2 + 0.\nAnswer: -2*w*(w - 1)**3*(w + 6)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is y in -3*y**3\/2 + 129*y**2 - 6435*y\/2 + 18252 = 0?\nAnswer: 8, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 1086 = 119*c + 15 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 6:35 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/4)\/(z**(-4)*z))\/((z**(-10)*z)\/(z\/z**(-10))) assuming z is positive.\nAnswer: z**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -69*b + 309*b - 800*b + 164*b - 213*b + 183 wrt b?\nAnswer: -609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 3*g + 28 = a, -4*g - 4*a - 28 = 0. Let k = 12 + g. Solve -4*t + v = -15, 0 = k*v - 9 - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16*-140.\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 230?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 10278, 10267, 10242, 10197, 10126, 10023?\n\"Answer: -i**3 - i**2 - i + 10281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 7 (b) 3 (c) 1133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.5 - 0.1. Let p = r - -1.1. Let x = 0.500057 - p. What is x rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(637)*-2 + -3 + 2 + sqrt(637))*-5*-2)**2.\nAnswer: -4200*sqrt(13) + 573400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35919 is divided by 11754.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 44 + -39. Let j(q) = 1 - 2*q + 1 + n*q**2 - 6*q**2. Give j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -22*w + 358. Let r be f(16). Solve -r*z - 12 = -9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 7995016527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*f + 24, -69 = 6*l - 3*f. Let n(b) = -6*b - 4. Let h(v) = v + 1. Suppose 2*s - 3*q = -s + 6, -3*s - 19 = 2*q. Determine l*h(c) + s*n(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5850\/50*(-1)\/2*(-64)\/(-96)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -4\/504541 and 39\/1060103.\nAnswer: 94349167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108095 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oojo when four letters picked without replacement from hhopojhhppohhpph.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 48.64 rounded to 0 dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 73 + -71. Let u be 323 + (4 - (4 - d)). Suppose -c = 4*c - u. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 + 9*n**2. Let u be r(9). Let l be 56 + u + (-2)\/(-2). Is 1*(-2)\/((-2)\/l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 11*j + 576. What is the remainder when 129 is divided by v(-51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 923, -1, -2006, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-79*i**2 - 86*i**2 - 1015*i**2 - 878*i**2)*(-17 - 2 - 21 - i**2) to j*i**4 + c*i**2 + l*i**3 + q + f*i and give c.\nAnswer: 82320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 18040339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**2 - 3*t - 11. Let y be x(5). Which is the second biggest value? (a) y (b) -0.2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -6*q + 175. Let z = 82 - q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 1:08 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of -9*n**8\/112 - 7*n**5\/10 - 43*n**2. Find the third derivative of u(m) wrt m.\nAnswer: -1620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4681250 to the nearest 10000.\nAnswer: -4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**4\/11 - 24938*s**3\/11 + 49868*s**2\/11.\nAnswer: 2*s**2*(s - 12467)*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q**2 - 292 - 2*q - 3*q**2 + 295 in the form p*q + m*q**2 + l and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1247093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3587293?\nAnswer: 73, 157, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 10. Let s = 14 - f. Find the second derivative of -2*t**3 - t + t + 3*t**3 - s*t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3713*x + 8 = -3*n - 3715*x, 0 = -n - 32*x - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/5 in 4, 0.5, -0.56, 2.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 793602?\nAnswer: 2, 3, 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from {j: 3, r: 2, z: 4, l: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 22*l + 18*l - 8 = 38*l, -32*l + 128 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -1132321330 (base 4) to base 2.\nAnswer: -1011110111001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 11*m**3 + 50*m - 1856 wrt m.\nAnswer: 33*m**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/4 + ((-468)\/58 - 0).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2952, -3010, -3068?\n\"Answer: -58*h - 2894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - h = 3*u - 92, 2*u - 3*h = 70. Calculate the highest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 50.65 - 54.65. Which is the fourth biggest value? (a) 3 (b) -0.3 (c) v (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((5\/(-60))\/((-15)\/888))\/(((-20)\/30)\/1)\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 760469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -5*n**4\/3 + 50*n**3\/3 + 5*n**2\/3 - 50*n\/3 = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 8:29 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 61*l**2. Let r(n) = 11433*n. What is r(q(j))?\nAnswer: 697413*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -4954, 189, -5, 3 in decreasing order.\nAnswer: 189, 3, -5, -4954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -40000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 165 + -170. Which is the closest to -1? (a) 0 (b) 4 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3 and 6595?\nAnswer: 19785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {g: 1, w: 4, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-1\/4)*x\/x**3)\/((x\/((x\/((x*x*(x\/(x\/(x\/x**0)*x))\/x*x)\/x))\/x))\/x**7) assuming x is positive.\nAnswer: x**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -28823872 - 32?\nAnswer: -28824014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40177949.\nAnswer: 7, 5739707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and 60562?\nAnswer: 60561.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/10)\/(6\/45*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 582143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.01 - -1707.3\nAnswer: 1707.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -155337*a**2 - 171448*a wrt a?\nAnswer: -310674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j - 2. Let f(v) = 12*v - 8. Let x = -535 - -545. Let b(r) = x*d(r) - f(r). Let u(a) = -2*a. What is u(b(k))?\nAnswer: 4*k + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/377 + -56\/377. Let t = -973 + 18475\/19. Which is the third smallest value? (a) -1\/3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 - f + 2. Let q be x(0). Suppose -a + 2*a + 9 = d, 2*d - 34 = -q*a. Let r = 1 + d. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 66 (base 13) to base 10.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 88\/(-32) + 1\/(-4). Let l = -16 - -25. Calculate the remainder when 26 + (-1)\/(-3)*j is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 22 + 24 - 46 - 18*z. Let l(c) = -12*c**2. What is l(f(p))?\nAnswer: -3888*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36.656828 + 36.69. What is m rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**3 - 196*i**2 + 5*i - 495. Let z be r(98). Which is the second biggest value? (a) z (b) 130 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*c - 25 = -5*x - 10*c, x - 5 = -5*c. Solve 2*f + 2 = 2*i, x*i + 3 = -0*f + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5976062561 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5.5 (b) -1 (c) 1 (d) 0.3 (e) 398\/3 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -5*f + 8882, -21*f = -19*f - 2. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -3*b + 9. Is v(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4\/16 - (-150)\/8 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 11 = -i + 3*i, -12 = 3*l + 3*i. Let p = -1.8 + 0.8. Let d = 183.43 - 183.51. What is the nearest to p in l, d, 4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 3*v + 10. Let c(z) = -11*z**2 - 2*z - 1. Let n(d) = 4*d**2 + d. Let h(j) = -3*c(j) - 8*n(j). What is h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*u + 6*u, u + 1906 = 3*t. Let v = 431 - t. Let a = 429 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -811*h - 3992. Is 10 a factor of x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**2 + 2*v - 17. Let l be j(7). Suppose -5*x + l - 16 = 0. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 8:40 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 + 2*z + 2 + 8*z**3 + 3*z**2 - z**4 - 27 + 9 + 11 to p + n*z**2 + g*z + d*z**3 + w*z**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 123311, 246626, 369941, 493256?\nAnswer: 616571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 675?\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 29\/3 of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {i: 1, e: 1, k: 2, z: 1, f: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lleeeellllmhmlhhhh. Give prob of picking 4 l.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 620 by -124.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26 - 26. Which is the closest to q? (a) 4 (b) 8 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1, 32, -0.2, 3, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 63 and 153578376?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 937991940.\nAnswer: 2, 3, 5, 97, 161167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-2)\/5)\/((-3)\/30) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 2*v + 231 = 678, -g + 3*v = -446. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**3 - 8*c**2 - c + 5. Let v be x(4). Let o be (-1)\/v + (169 - (-20)\/5). Suppose o = 52*n - 50*n. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 4:52 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15 + 1392\/(-82) - -2. What is the fourth smallest value in 1, z, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4073*n + 8980 = 41564 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 39*y + 44*y + 2 = 0, 4*h + 5*y = -18. Suppose -14 - 5 = -5*q - f, 5*f = -q + 23. Suppose q - 7 = z. Sort z, 4, h in descending order.\nAnswer: 4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**18*z*z**17*z*z*z)**(-1\/20) assuming z is positive.\nAnswer: z**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -z - 3*j, j = -z - 0*j + 8. Put z, 1, 2\/3, -4 in increasing order.\nAnswer: -4, 2\/3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -56*f**4\/5 - 296*f**3\/5 + 2*f**2 + 432*f\/5 - 18 = 0?\nAnswer: -5, -3\/2, 3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 + 2 = -z. Let n = 216 + -84. Calculate the greatest common factor of z and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -71953562303360 - 0.4?\nAnswer: -71953562303360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -934 divided by 2?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 933*b + 4256 + 5*b**3 - 13*b - 3356 + 245*b**2.\nAnswer: 5*(b + 2)**2*(b + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fenfqqnj. What is prob of picking 1 f and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 36071 + 96?\nAnswer: 36147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 + v + 2. Let f(g) = -g**3 - 3. Suppose 22 = -5*w + 4*w - 5*c, 4*c = -16. Calculate w*f(p) - 3*m(p).\nAnswer: -p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 5*y = -125, -5*j + j - 5*y + 170 = 0. Let p(l) = 3*l**2 + 8*l + 5. Let r be p(-8). Let q = r - j. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 + -1305.3448\nAnswer: -1304.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1023 + 1023.000013626. Round n to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27289327 to the power of 1\/2, to the nearest integer?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 23 - 4. Let w(i) = i**3 - 7*i**2 - 11*i - 13. Let t be w(q). Suppose 6*p - t = p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 - 3. Let j be (i\/21)\/((-6)\/(-4)). Is j bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 296614 is divided by 12896.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, t: 3, u: 6, b: 2}. What is prob of picking 3 u and 1 b?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18697 is divided by 287?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the first derivative of -h**6\/120 + 4*h**3 + 2. Let j(o) be the third derivative of d(o). Let y(x) = -2*x. Calculate j(y(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.1, -1\/6, -1743, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 6\/31, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.055 - -0.155. Which is the second biggest value? (a) z (b) -1\/3 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 m, and 2 q when four letters picked without replacement from yqhhqhhhqmd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*j = -6*j - 165. What is the least common multiple of 5 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -218? (a) -2 (b) -4 (c) -1\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7.9 - 6.54. What is u rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 36*o + 297 = -33*o, -2*h + 212 = -5*o. What is the remainder when 272 is divided by h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -253 - -252. Which is the nearest to 9? (a) -3\/5 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-576)\/(-80))\/((-296)\/1110).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29086, 26788, 24490, 22192, 19894?\nAnswer: 17596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11125029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3093 - 3066. What is the closest to 1 in 0.2, -0.5, h, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**3 - o**2 + 4*o + 27. What are the prime factors of b(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 663430 (base 8) to base 7.\nAnswer: 1616101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 27*z**2 - 10*z - 28. Let a(r) = -47*r**2 + 20*r + 54. Let l(k) = -4*a(k) - 7*d(k). Determine l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11112111 (base 3) in base 10?\nAnswer: -3307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -23660\/27903?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 2*l**2 - 2*l. Suppose 3*j = 0, 0*g - g - 2*j + 2 = 0. Let v(o) = -2*o**3 + 5*o**2 + 5*o. Give g*v(q) + 5*w(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*f + 2 - 58 = 0. Let n = -0.1 + 0. Is f equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f + 5. What is y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 32*k**3 - 50*k**2 + 38*k + 1. Let c(u) = 5*u**3 - 8*u**2 + 6*u. Let j(l) = -13*c(l) + 2*n(l). Determine j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 280 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/13)*v)\/(v\/v**(-2\/17))*v**12*v*(v*(v**(-4)*v)\/v)\/v)**(-13\/2) assuming v is positive.\nAnswer: v**(-990\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 83132117 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -2*v - 7. Let y be l(-3). Let o(h) = -7*h + 2. Let u be o(y). Let z be 0\/(-3*(-3)\/u). Solve 0*c - c - 4 = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -5808*a. Let z(n) = 1660*n. What is z(u(j))?\nAnswer: -9641280*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 394153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 583 - 580. Suppose 19*f - 2068 = -y*f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-1)\/(-3))\/(3\/(-9)). Do h and 2\/69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 PM and 3:16 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23908 + 23908 + 295*q.\nAnswer: 295*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10015\/19 + -527. Let m = 0.23 - 0.03. Let v = 0 + m. Which is the third smallest value? (a) 3 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 + 6*w + 6. Let p be s(-6). Let t = -6 - p. What is the common denominator of 3\/t + -11*1 and 7\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.3 or -2\/23663?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10 - -1145?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.64, 66, 0.5?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 27, 2, -8\/251?\nAnswer: -8\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 131 - 131. Let x - 5\/2*p**3 - p**4 - 1\/2*p - 2*p**2 = 0. What is p?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = g - q, -10 = -5*g - q + 7. Suppose -6 - 14 = -g*j. Solve 3*k - j*i = 9, 3*k - 3 = 2*k - 2*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6, 0, -6\/833?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/66 and -109\/2922?\nAnswer: 32142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (92 - 90)*-2*((-446822)\/8 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 2*b - 13)*(50 + 10*b - 50)*(-2 + 3 + 0)*(14*b**2 + 8*b**2 + 37*b**2).\nAnswer: 1180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16244*f - 14218 wrt f?\nAnswer: 16244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16*1\/(-56)*56\/(-152))\/((-1)\/2).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 0 = -5*d - 4, 4 = -4*d + 2*u. Is (-1)\/d*(16 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -187 + 192. Calculate the least common multiple of 598 and z.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 3*k + 12 = 5*b, -b - 2*k = 6. Let a = 825 + -821. Suppose -5*m - 2*v = -58, 0 = a*v + 4 - 20. Solve u = 3*r + m, 3*u + 2*r + 17 - 3 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*z + 4*t = -35*z - 28, -2*t = -2*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 20668 and -981?\nAnswer: -20275308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 160440649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -4 times -56\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ynyniidinzn. Give prob of picking 2 n and 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5502 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80*r**2 - 67*r**2 - 65*r**2 - 84*r**2 + 385*r**2 - 69*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Express -57298 + 0*c**2 + 57298 - 48*c - 12*c**2 in the form x + u*c + b*c**2 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 573*i + 568. Give s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((3*sqrt(12)\/sqrt(2))\/sqrt(3) - ((sqrt(24) + sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(12) + -4))*6)**2.\nAnswer: 14400*sqrt(2) + 21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 97028*i**2 + 182301.\nAnswer: 194056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 163, 335, 507, 679?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3496 and 85928?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/4 and 71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-2 + 1 - -2) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -530*f + 30178 = 10568 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/b**4)\/(b*(b\/(b\/b**(5\/3)))\/b))\/(b\/((b**0*b*b)\/b))**(-36)*(b**(-4)*b**6)**(-23) assuming b is positive.\nAnswer: b**(-149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -46*y**2 + 42. Let l(u) = -108*u**2 + 98. Let k(s) = 3*l(s) - 7*z(s). Let c(g) = -2*g - 1016. Give k(c(r)).\nAnswer: -8*r**2 - 8128*r - 2064512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1600 + 1043. Let l = c + 957. What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*d + 330. Suppose -d = -3*t + 16. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1896.62 + 1876. Let w = c + 21. Round w to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 + 5*p**2 - 16*p - 9. Let o(z) = 15*z - 9. Let j be o(6). Let f = j + -88. Let y be a(f). Let q(n) = -n**3 + 6*n**2 - 4*n - 3. Give q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 5*o + 116. Let k(n) = -n**2 + 90*n - 1564. Let l be k(67). What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 7248775 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6 + -6 - (-6 - -26). Let u(s) = -s**3 - 22*s**2 - 38*s + 64. Let x = 42 - -23. Calculate the remainder when x is divided by u(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + y**3 + y**3 + 1 - y)*(6*y - 2*y - 2*y)*(-266 + 380 - 179).\nAnswer: -260*y**4 + 130*y**2 - 260*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 22 - 114 - -65 - -73\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the second derivative of h**4\/6 + 3*h. Let o(k) = k + 96*k**2 - 6*k + 5*k - 231*k**2. What is v(o(m))?\nAnswer: 36450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5883959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(2\/25)\/f)**(-17)*(f**(-1\/41)\/f*f)\/(f*f*f**5*f*f))**18 assuming f is positive.\nAnswer: f**(122058\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524607 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -23*n - 69. Calculate c(-12).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 3965, 15861, 35689, 63449, 99141, 142765, 194321?\n\"Answer: 3966*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 132\/9*(-9909)\/6. Let p = 532993\/22 + t. What is the common denominator of p and 97\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3677954*x - 3677986*x + 11033912*x - 3677974*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2. Let c(h) be the third derivative of -h**4\/8 - 15*h**2. Let q(g) = -g. Let a(y) = -5*c(y) + 20*q(y). Calculate a(d(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2*r**2 - 16*r - 8. Let b(v) = v**2 - 6*v - 3. Let q(n) = -8*b(n) + 3*u(n). Let l = 1 + 12. Let w(f) = f + l - 13 + 2*f. Give w(q(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 439327145 to the power of 1\/2, to the nearest integer?\nAnswer: 20960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 541553 is divided by 966.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in 0.5, -1.1, 0.01, -0.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**(-2\/43)*k*k))**(3\/2)*k**0*k**(4\/9) assuming k is positive.\nAnswer: k**(-763\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 39 and 169.34985.\nAnswer: 6604.64415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.9 - 0.4. Let v = 4 - 5. Let g = 18.2 - 17.2. Which is the biggest value? (a) 4 (b) g (c) v (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 4\/11175?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(891) + 4 + sqrt(891) + -1 - (sqrt(891) - (sqrt(891) + 1))*2)*-3 + -3 + 3)**2.\nAnswer: 1404*sqrt(11) + 32245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 44 - -3534?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1512, 1694, 1872, 2046?\n\"Answer: -2*q**2 + 188*q + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1318 + -1223. Calculate the remainder when u is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -34*v + 77*v - 31*v to s + n*v and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 30 + 7?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -632 + 632. Suppose o = 14*a - 11589 - 1697. List the prime factors of a.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/20304 and -71\/2115.\nAnswer: 101520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4, 0, -2, -14, 5 in decreasing order.\nAnswer: 5, 4, 0, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -7238 = -369*u + 4350 - 1994 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 63305 (base 7) to base 4.\nAnswer: 3303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27 + 21 - (70 + -39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 7*g. Suppose 52 = 11*v + 85. Let b(y) = 8*y. What is v*t(s) + 2*b(s)?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-12)\/14)\/((27 + -24)*(-3)\/189). Solve 4*i = -3*l - 4, 23*l = y*l + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -35 + 6a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/(-10)*120\/16 - (-537)\/(-716). Let p(m) = 17*m - 102. Give p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6977381 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What is next in -5449, -21623, -48581, -86323, -134849, -194159, -264253?\nAnswer: -345131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.1209*1.4.\nAnswer: 1.56926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3577, 3579, 3581, 3583, 3585?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6802744133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 3*w**5 - 885*w**4 - 67854*w**3 + 68736*w**2 = 0.\nAnswer: -64, 0, 1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88 and 10021?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/303 less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -4*w**4 + 58848*w**3 + 1591924*w**2 - 1650768*w = 0.\nAnswer: -28, 0, 1, 14739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 - 11 - (8 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, -9, -1\/2, 1\/5, 3\/8, -2.23, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, 30, 84, 180, 330, 546?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzzozzooozzzzzzz. Give prob of picking 2 o and 1 z.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/3 in -4, 6\/5, 0.4, -56?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -36104138*o**3 - 5488647.\nAnswer: -108312414*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18087 - -18102. Solve 20 + u = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 11:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5829411?\nAnswer: 3, 7, 89, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5039 - 5034. Let v = 29\/33 + -1603\/1749. Let o = 473\/106 - v. Is y != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/5 - 46*z**2\/5 - 98*z\/5 - 10.\nAnswer: 2*(z - 25)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 286 + 626 - 10231*j**2 + 51623*j**2.\nAnswer: 41392*j**2 + 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-563332)\/(-6210) - 4*(-12)\/72. Let z = -4921\/54 + n. What is the common denominator of z and -71\/2?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - (25 + 11 + -37)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the first derivative of 11*h**6\/3 - h**5\/5 + 21*h**2\/2 - 2. What is the second derivative of p(v) wrt v?\nAnswer: 440*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.0755 or -4?\nAnswer: 0.0755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of -2 + 2\/3*m**4 - 3*m + 0*m**2 + 1\/15*m**6 + 4\/9*m**3 + 11\/30*m**5. Let f(i) be the first derivative of a(i). Solve f(p) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -0.02 (c) -0.4 (d) -27 (e) 0.2 (f) -3\/208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3980 - -14565. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(2\/17)*j)\/(j\/(j\/j**(-13)))*(j**(5\/4))**47 assuming j is positive.\nAnswer: j**(5007\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2817290 divided by 40247?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -62814 divided by -29\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 16\/(-3)*(20301\/404 - 48) - 118\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -27*w + 22279 + 4289. Is 123 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100*w - 49571899 = -147011999. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14 - 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c - 5 - 3 - 39*c**4 + 3 + 42*c**4 - c**3 - 2*c**2 to the form x*c + b*c**4 + k*c**2 + m*c**3 + j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 644 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + 2 + -8 + 3 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwzwbszsbwzszsbzbsbw. What is prob of sequence zz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 181361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2624.11 + 2611. Let z = -0.61 - l. Round z to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2115741 is divided by 720.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -65 divided by 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/218 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 324*j - 1620. Let n be k(5). Let p(f) be the second derivative of -1\/16*f**4 - 11*f + n - 3\/8*f**2 - 5\/12*f**3. Factor p(v).\nAnswer: -(v + 3)*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i**3 + 14*i - 11. Let z(b) = -b**3 - 5*b + 4. Give -3*v(q) - 8*z(q).\nAnswer: -q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/(-45)*2150\/(-645)*9\/12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 16*f - 24. What is the hundreds digit of m(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + 5*g + 1. Suppose -w + 4 = 1. Let s be (-2)\/(-2)*10\/5. Let c = s + w. Give l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053) - (4*sqrt(1053)*6 - sqrt(1053))) - -6*(-3 + sqrt(1053) + sqrt(1053))) + 1)**2.\nAnswer: -10710*sqrt(13) + 1290214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 4, v: 1, a: 2, m: 1, w: 6, p: 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: Let i be (-29)\/(-4) - 3\/12. Suppose i*k + 5 = 2*k. Which is the nearest to k? (a) 1 (b) 3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -156*t + 384 = -92*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -8445*a**5 - 4*a**4 + 4*a**3 - 10159*a + 8. Let n(l) = 2*l**5 + l**4 - l**3 - 2. Let b(t) = -i(t) - 4*n(t). Find the second derivative of b(y) wrt y.\nAnswer: 168740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 5.7955 and 7.88192817.\nAnswer: 13.67742817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -5*o - 19, 133*q + o = 138*q - 17. Let d(z) = 9*z**2 - 4*z + 14. Calculate d(q).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87400991?\nAnswer: 641, 136351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3523873 is divided by 1158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1350*t**2 + 30*t + 22*t - 76*t + 24*t.\nAnswer: 1350*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 111 + -74. Let r(n) = 3*n**2 + 2*n - 2. Let p be r(1). Suppose p*d + m = 4*d. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20216, 39145, 58072, 76997, 95920, 114841, 133760?\nAnswer: 152677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/9, -2\/5, -4, -0.06, 0.61 in increasing order.\nAnswer: -4, -2\/5, -0.06, 1\/9, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1 - (1\/3)\/((-22)\/594). Let c be b\/65*-2 - 0. Suppose 0 = -3*o + o + 2. Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -146 + 148 + -5 + 1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 7:58 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is k in -3*k**4 + 150*k**3 - 1872*k**2 - 150*k + 1875 = 0?\nAnswer: -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(((-5 + sqrt(612) + -1 + sqrt(612) - sqrt(612))*4 - (2 + (sqrt(612) - (sqrt(612) + 0 + sqrt(612) + -2 - sqrt(612) - sqrt(612)))))*-4)**2.\nAnswer: -201344 + 32256*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9956831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/2 + 0)*2. Suppose -7*h + 3*h = 0. Let s(o) = o + 11. Let d be s(h). Calculate the greatest common divisor of d and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 39. Let c = 53\/4 - z. Let r = 406 - 403. What is the second smallest value in -0.1, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.42, 2753, 69?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -3414, -1, 10, 29 in decreasing order.\nAnswer: 29, 10, -1, -3414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*h = 3*m - 11*h - 10, 3*m = 3*h + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -87 + (24 - -260) + -108?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the second derivative of k**5\/10 + k**4\/2 + k**3 + k**2 + 17*k. Suppose v(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -8, 35, 4, 5 in descending order.\nAnswer: 35, 5, 4, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 2*v = -16, -3*j + 21 = -5*v - 9. Suppose 5*x + 643 + 62 = j*q, 5*q - x = 685. Calculate the remainder when 29 is divided by (-2)\/6 - q\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1971584+-0.1347\nAnswer: -1971584.1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**3 + 248*o**2 - 4022*o - 14352 = 0.\nAnswer: -3, 23, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4\/4759 - -9506\/14277. Let v = -0.31 + 44.31. Let n = 44.062 - v. Is p smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08 times -0.19?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**2 + s - 75000. Suppose 2*v + k - 8 = 5*k, -4*k - 8 = -3*v. Let w be u(v). Round w to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80) + sqrt(80) + sqrt(80) + 2 + -3.\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115 = 5*a - 85. Does 40 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 53 - -430. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 - 2*r. Suppose 167*k + 45 = -173*k + 349*k. Let o(c) = c. Give k*o(i) + n(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - -1*(4 - (3 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -401 - 3*s**2 + 811 - 405.\nAnswer: -3*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 362 - 342. Solve -l*x = -19*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 46100\/150 + 4\/(-3). Let s = r - 199. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**3\/5 - 49107*x**2\/5 - 294513*x\/5 + 343623\/5 = 0. Calculate x.\nAnswer: -16363, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence arw when three letters picked without replacement from wrwrrawrrawrr?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from {e: 5, p: 2, u: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -8913660 divided by -95?\nAnswer: 93828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/21)\/((-450)\/(-315)). Sort 5, -2, v, 0.\nAnswer: -2, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2a (base 14) to base 3.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20, -41, -62?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -23 + -114. Let h = 136.6 + c. Is h greater than or equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 + 30*j - 112.\nAnswer: -2*(j - 8)*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -5, 19, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of 0*k + 1\/48*k**4 + 0*k**3 + 1\/80*k**6 - 51*k**2 - 1\/40*k**5 - 1 - 1\/420*k**7. Determine v, given that q(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5771436367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-5)\/3*42\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-525))\/(41\/287).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 22*b**2*t*z**2 + 19*b**2*t*z - 1708*b*t*z - 8817*b*z**2 - b*z wrt z.\nAnswer: 44*b**2*t - 17634*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/8 + (-2)\/(-8). Let s be 1 + -4 + (-1)\/(-1). Let n = -3 - s. Is n at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1123.2 rounded to the nearest 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.04 + -0.064. Let y = 4445.068 - 4445. Let q = y + h. What is q rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11284*y**3 + 2*y**2 + 28196 wrt y?\nAnswer: -33852*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, e: 2}. What is prob of sequence dede?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3 + -12*((-2)\/4 + 0). Suppose -i*o = -9 - 9. What is the greatest common divisor of o and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 21*p**3 - 8*p**2 - 4*p + 47. Give k(2).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 4*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -86.2309 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + 22*s**2 + 2. What are the prime factors of w(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20134 + 10?\nAnswer: -20124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244282524 is divided by 6943?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -19 and 0.2.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50063 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of -v**5\/150 - v**4\/30 - v**3\/15 - 3*v**2\/2 - 3*v. Let l(j) be the first derivative of c(j). Find q, given that l(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.7 + 4. Let z = 34 - 33.81. Let t = z + 0.21. Which is the nearest to -2\/9? (a) t (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34266579 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 125 a factor of 6436754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*x**5 - 16*x + 16*x - 1 + (-1 + 1 - 3*x)*(0*x**4 - 4*x**4 + 3*x**4).\nAnswer: 8*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 0.21448205.\nAnswer: 0.21448205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 150 and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -660, -639, -602, -549, -480, -395?\n\"Answer: 8*w**2 - 3*w - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1735762267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from xttxbbbtt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0020641 rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/12)\/(2\/12). Solve -5*t + 9 = -h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 11*o - 43. Give j(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2*r - 2490 = 0, 5*z + 1017 = 7*z - 5*r. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 7*u + 16 + 0*u + 4*u - 4.\nAnswer: -3*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(2\/5))**(2\/43)\/(b\/(b**(-2\/3)*b)*b**(-2\/13)))**47)**(-10) assuming b is positive.\nAnswer: b**(389536\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24783 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2*b)*(4 + 3*b**2 - 4 - b**2 + 4*b - 4*b + (-2*b**2 + 1 - 1)*(4 - 4 - 1)).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -46 - -2627762?\nAnswer: 2627714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2\/149 - 284\/1043. Let a = 1 + 7. What is the third biggest value in a, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 258*i**4 - i**3 + 8*i**2 - 2492?\nAnswer: 1032*i**3 - 3*i**2 + 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -446, -1067, -1688?\n\"Answer: -621*a + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 14 by -3991.\nAnswer: -14\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3105488 + -11?\nAnswer: -3105499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 7343*s - 7339*s - 4*a = 0, 3*a = -s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/3453 and 35\/33?\nAnswer: 37983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + 29 - 32 + 2*c)*(-3*c**2 - 6 + 6 + (-c - 5*c + 4*c)*(3*c + 0*c - 2*c))*(-c - 2*c + 166 - 163).\nAnswer: 45*c**4 - 90*c**3 + 45*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.96204 + 0.024448682.\nAnswer: 2.986488682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 221 * -0.06.\nAnswer: -13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9215 is divided by 4571.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + -3 + 4 + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.352463l to millilitres.\nAnswer: 8352.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 AM and 12:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wqrsrsqrrsssqrosgr. What is prob of picking 1 r and 2 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -5560a2 (base 12) to base 9.\nAnswer: -2500245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of c**8\/6720 - c**7\/2520 - 5*c**4\/12 - 7*c. Let u(s) be the third derivative of i(s). Solve u(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 9*a**2 - 2*a - 112. Let u(b) = 8*b**2 - 2*b - 106. Calculate 5*j(z) - 6*u(z).\nAnswer: -3*z**2 + 2*z + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1\/1698 - 48397\/6792. Let x = 19177\/10 - 1910. What is the common denominator of l and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 56 and 98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/8 - 3\/8. Let l = 1.5 + -1.2. What is the closest to 0.1 in l, -1\/6, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - (-2 + 5) - -575. Suppose -358 = -4*w + s. Let i = w + -70. What are the prime factors of i?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 26 + 11)*(9*a - 10*a + 18*a) + 4*a - 5*a + 2*a + (0*a - a + 3*a)*(-5 + 3 + 0) + 3 - a - 3 + 3*a - a + 0*a.\nAnswer: -325*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vcjvxvjxxaackjcackva. Give prob of sequence cxa.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 578777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of 0 + 2*w - 1\/6*w**3 + 0*w**2. Let u(d) = -d**2 + 1. Let s(l) = 2*l**2 - 3. Let h(y) = -s(y) - 3*u(y). Determine p(h(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*d = -2*b + 2, -b - 2 = 0. Let s be 3*5*d\/(-6). Solve 2*m = 4*n + s*m + 10, 3*m = 5*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 5*z + 196 = 0, 5*z - 10 = -0*z. Let h = -76 + 119. Let v = -27 + h. Calculate the remainder when b is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -42 by 1924680.\nAnswer: -7\/320780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**1*c)**(-3\/16)\/(c\/c**(-2\/9)*c**2))**(-17) assuming c is positive.\nAnswer: c**(4403\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -13*k**3 - k**2 - 3*k - 2. Let p be w(-1). Let r(v) = -v**3 + 13*v**2 + v - 2. List the prime factors of r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3080 = -732. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 28330555 times -17\nAnswer: -481619435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3204449657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 1 = -11, -146 = 3*y + 2*t. Is -50 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1278*c**2 + 1274*c**2 - 3020*c**3 + 791*c**3 - 3825*c**2 + 1273*c**2.\nAnswer: -2229*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-42)\/(-9)*(-60)\/(-10) + -4 and 28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10426 and 5573098.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 32 and 600032.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 3.252071 decades?\nAnswer: 0.03252071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s + 2459 + 549. Is s\/13 - (-8)\/52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1297592 and 648796?\nAnswer: 1297592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 7, j: 2}. What is prob of sequence zj?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(32) + -1).\nAnswer: -4*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r*r\/r**(-2\/27))*r**7 assuming r is positive.\nAnswer: r**(160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (42\/(-15))\/((-68)\/(-340)). Which is smaller: 1\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((j\/j**(-3\/14)*j)\/j*j)**35)**(-2\/71))**(15\/2))**(2\/25) assuming j is positive.\nAnswer: j**(-93\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 46*w + 2. Let f(s) = -30*s - 1. Calculate -5*f(y) - 4*n(y).\nAnswer: -34*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1074340797.\nAnswer: 3, 751, 476849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of 5*c**4\/24 + 8*c**2. Let n(k) = -k - 1. Let o(r) = -r - 3. Let t(d) = -3*n(d) + o(d). Give h(t(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + 0. Let k(g) be the first derivative of 4*g**3 + 39*g**2\/2 + 8*g + 73. Let d be k(-3). What is the closest to -2 in d, 4, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 6*m + 7778 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**3 - 10*h**2 - 11*h - 12. Let d(y) = -y**3 - 5*y**2 + 8*y + 3. Let l be d(-6). Is c(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72235.74 millennia in decades?\nAnswer: 7223574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 0*u = u + 5, 5*g - 20 = 5*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*j - 13*j + 8*s - 80, 3*j + 2*s + 28 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**(-7)*d)**14 assuming d is positive.\nAnswer: d**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, q: 2, h: 3}. Give prob of sequence hggq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -390924, -390926, -390928?\n\"Answer: -2*m - 390922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5246 = -12*l + 2086. What are the prime factors of l?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (3 - 1) + 5989720\/1056 + (-2)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, u: 6, o: 3, c: 1}. What is prob of picking 1 c, 1 d, and 1 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 + 6*v**2 + 5*v - 4. Suppose -8 = -6*m - 38. What is j(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from obaxbpu. What is prob of picking 1 x and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -152, -144, -132, -116?\n\"Answer: 2*o**2 + 2*o - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.8 + 0.3. Let v = k - -1. Let j = 315 - 312. Sort -0.4, v, j.\nAnswer: -0.4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -1 (b) -1\/3 (c) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 82712753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 9\/18 - 341\/(-2). Suppose -4 = -2*g - 0*g. Suppose 5*r = -g*u + 180 - 13, u - l = -5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*a**6 + 3*a**5 - 4*a**2 - 8*a wrt a?\nAnswer: -600*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - 7bb022b?\nAnswer: -7bb0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -0.02 bigger than -68311732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -20. Let d be 1\/((-59)\/30 + i). Let a = 15 + d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6735316 + 77283881 + 6506504 = 91*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bpbp when four letters picked without replacement from bbbppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 11858.03*-8\nAnswer: -94864.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90033 = -10*t + 672143. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 468*j**2. Let p(h) be the second derivative of 11*h**4\/12 - 3450*h. What is f(p(y))?\nAnswer: 56628*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3347131001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the third derivative of f**5\/60 - 7*f**4\/24 - f**3 + 5*f**2. Let x be n(8). Put 0.4, x, 3\/5 in ascending order.\nAnswer: 0.4, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 78 divide 6887454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -48*o**3 + 17*o**2 - 38*o - 17. Let l(f) = -17*f**3 + 6*f**2 - 13*f - 6. Let d(x) = 17*l(x) - 6*n(x). Determine d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/2536 and 107\/27896.\nAnswer: 27896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6453488.000076 + -6453512. Let l = h - -24. What is l rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 3*n = 2*n + 14, -d = -3*n. Suppose -5*t = -3*z - 2*z + 10, d = -3*t. Suppose 7*i - 48 + 20 = z. Is i less than or equal to 42\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + 0. Suppose -3*o - 2*o + v*a = -18, 0 = -3*o + 5*a + 14. Suppose 288510 = o*d - 35490. Round d to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -166*x**3 + 7*x + 43. List the prime factors of p(-3).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11002331 - 100232?\nAnswer: 10302033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from azzd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 70271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -185, -287, 1 in ascending order.\nAnswer: -287, -185, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 + 1)*(-2)\/(-3). Suppose 5 = -3*k + 2*k, 0 = x*r - 4*k - 32. Find the second derivative of -w + r*w**5 + 5*w - 1 + 1 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2388 + -2390. Which is greater: -104\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h - 1255 = -4591. What is the units digit of h\/6 - (9\/6 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -a**3\/7 - 266569*a**2\/7 - 17764891224*a\/7 - 17764624656\/7 = 0. Calculate a.\nAnswer: -133284, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xttxt. Give prob of sequence tx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 - 4 + 4)*(-20 - 4*q + 20) + (q - 2*q + 3*q)*(0*q**2 + 5*q**2 - 3*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 - 6*r**2 - 13*r - 20. Let d be k(8). Solve 4*v = -4*l - d, -3*v = -l + 2 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 11)\/(-3) - 2. Suppose -56 = -3*a + x + x, r*a = -3*x + 33. Calculate the remainder when ((6\/4)\/1)\/(66\/(-23320)*-10) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m + 2. Let o be a(2). Suppose o = -r - 3*r + 92. Let d = r - 3. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22 - 16. Suppose 3*o = 5*d + 2, o + 6*d - d = -6. Let z(b) = -b**3 + 6*b. Let f(n) = -1 + 9 - 8 + n. What is l*f(c) + o*z(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 2*h - 90. Let a = 25 - h. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/24*-26)\/((-4)\/(-16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1584 + 550. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1217 and -1217 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.3 + -0.6. Let d = 14 + -9. Suppose -2*n + 20 = 5*u, -2*n + 5 = -d. Which is the closest to u? (a) 0.2 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1639996 is divided by 819946.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -1. Let y(j) = 94*j + 3785. Let u be y(-40). Let n(o) be the second derivative of -4*o**2 - u*o + 1\/6*o**3 + 0. Determine 24*d(g) - 3*n(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 4*n + 28, 2*n + 3 - 7 = 0. Suppose -4*t = -r - 14. Let g(s) = s**3 + 5*s**2 + 3*s - 1. Calculate the remainder when t is divided by g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 25*r**2 + 52*r - 6. What is the lowest common multiple of 21 and w(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -2*l - 218, 5*l + 215 = 4*r - 0*l. Let m(z) = 5*z + 4. Let s(j) = -70*j - 55. Let i(w) = r*m(w) + 4*s(w). List the prime factors of i(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.058 + -0.587?\nAnswer: -0.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 7, c: 2}. What is prob of picking 2 c and 1 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(-1\/2)\/g))\/g*g*g**8\/g assuming g is positive.\nAnswer: g**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -395*i**2. Let f(a) = -23*a - 4. Let b(o) = -58*o - 10. Let d(q) = -2*b(q) + 5*f(q). Calculate h(d(w)).\nAnswer: -395*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 219206027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1212578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6417 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do -550 and -5928 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - f - 9, 21 = 8*g - 3*g + 2*f. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -4*x - 2. Let d be a(-3). Let o = d - 6. Let f = 4 + o. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 467 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6.1 + 2.1. Let g = -14 - -29\/2. What is the nearest to -2 in d, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-364)\/(-30) - ((-28)\/84)\/((-5)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 101.27 - 85.8. Let t = -15 + i. Let r = 0.27 - t. What is the closest to -0.1 in r, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10.900851 times -3?\nAnswer: -32.702553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 899 = -b, b + 1493 = 2*z + 3*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 4:17 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand c**2 + 2*c**2 + c - 3*c + (-5*c**2 - 83*c**2 + 15*c**2)*(-1 - 2 + 0).\nAnswer: 222*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2709279?\nAnswer: 3, 67, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -719843, -719845, -719847, -719849?\nAnswer: -719851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/8, -2\/3, -2\/11, -341275 in descending order.\nAnswer: 3\/8, -2\/11, -2\/3, -341275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**2\/17 + 1048746*q\/17 + 1048744\/17 = 0. Calculate q.\nAnswer: -524372, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*w - v + 231 = 0, w + 3 = -5*v + 14. Calculate the highest common divisor of 1300 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 33*a - 2. Let w(z) be the third derivative of -5*z**4\/24 + z**2. Let g be w(-1). Is p(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6642 - 7836 + 12345)*(4*a**4 + 0*a**4 - 2*a**4) - a**4 + 3*a**2 - 3*a**2 to the form h*a**3 + u*a**2 + r + n*a**4 + d*a and give n.\nAnswer: -4267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 11) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(2\/7)*k*k**(4\/9)*k**(-3\/2)*k**3\/k assuming k is positive.\nAnswer: k**(281\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -4. Let g = -1 - -2. Which is the smallest value? (a) g (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/90 and -70\/12930003?\nAnswer: 129300030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 29. Let l = j + 57. Let b = l - 34. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 91*n. Let z(r) = -10*r. Let x(j) = -3*q(j) - 28*z(j). Let s(u) = -6*u**2. Determine x(s(w)).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95*j - 2323 + 1278 = 0. Is 440\/41 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*m**6 - 6*m**5 + 4979*m**4 - 5087268*m**2 wrt m?\nAnswer: 360*m**3 - 360*m**2 + 119496*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 + 6*s**2 - 2*s - 4. Let m be (-56)\/(-10) + (-4)\/(-10). Let p be c(m). Let n be ((-2)\/4 - 0)*p. Solve -3*g + g + n = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12131103 (base 5) in base 16?\nAnswer: 1bf60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 204*q**2 + 6*q + 25. Is l(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*a + 61996860 = 11*a + 12*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 16 = -4*y - 0, 20 = 3*y + 5*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 507391*d**4*p**2 + 3*d**4*p + 5*p**2 + 269309 wrt d.\nAnswer: 2029564*d**3*p**2 + 12*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p + 4*w - 33 + 13, 3*p - 16 = -4*w. What is the remainder when 12 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-7 - 0 - 12136\/(-287)) + (-4)\/14. Calculate the highest common factor of j and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*z - 7 + 9 - 2 as d + k*z and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -31791407*o**2*p**3 + 24838*o**2*p + 24*p**2 - 2 wrt p?\nAnswer: -190748442*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -y - 95, -95 - 3 = -4*p + 2*y. Let q = p + -14. What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 53833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -1490*p**3 - 3*p + 1646. Let j(i) = i - 1. Let y(s) = 9*j(s) + 3*o(s). What is the derivative of y(a) wrt a?\nAnswer: -13410*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 - 77*l**2 - 294*l - 145. Let p be z(-73). Which is greater: p or 84\/61?\nAnswer: 84\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**4*v)\/v*v\/(v*v\/((v\/v**(-2\/5))\/v)*v)*v*(v\/(v\/(v*v**0)))\/v*v*v**(-5) assuming v is positive.\nAnswer: v**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hghg when four letters picked without replacement from {d: 1, z: 3, g: 4, h: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -36*d - 54. Let r(o) = 13*o + 27. Let s(k) = -5*r(k) - 2*z(k). What is s(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 522763.2ug?\nAnswer: 522.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -5*q + 9. Let f(b) = 16*b - 24. Suppose -36*s + 160 = -16*s. Let t(h) = s*y(h) + 3*f(h). Let d(w) = 15*w. What is t(d(r))?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, 96, -990, 3\/5.\nAnswer: -990, 1\/6, 3\/5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -8*j**3 - 4*j**2 + 3*j - 14. What is the hundreds digit of w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 297 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, v: 7}. What is prob of sequence viiv?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*h - 64 = 15 - 45. Let l(z) = 3 - 41*z**2 + 2 + 38*z**2. Let r(v) = -v**2 + 1. Determine h*l(u) + 9*r(u).\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4175 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -45486*k + 257. Is m(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 315 and 320 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*o - 144*o - 180 = 375 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 + 47 + 32800*u - 10932*u - 10937*u - 10935*u.\nAnswer: -4*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3a972c60 + -5?\nAnswer: -3a972c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 - 13*q + 13. Suppose 9*n - 3155 - 1687 = 0. Suppose -n + 524 = k. Determine c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, u: 6, g: 1, x: 2}. Give prob of sequence xcg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b. Let z(l) = 4*l. Let d(a) = -9*i(a) - 4*z(a). Let k(m) = -10*m. What is d(k(y))?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97 divided by 3.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2385148 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/300*(-60)\/(-24)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cs when two letters picked without replacement from {m: 1, s: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**9*f**(-13)\/f)**(-14\/5))**29 assuming f is positive.\nAnswer: f**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 - 16*c + 24. Let d be f(16). Suppose 3*m + 5*o - d = 0, m + 2 = -5*o - 0. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*f + 2*f + 612. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 + 1)*(2086*d - 677*d + 440*d) to the form z + u*d and give u.\nAnswer: 1849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**3 + 27*o - 4. Let a(q) = -5*q**3 + 57*q - 9. Determine -6*a(h) + 13*y(h).\nAnswer: 4*h**3 + 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/5949?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 113164?\nAnswer: -113161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 162 less than or equal to 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17015 = 10*y - 17925. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 3*z + 15. Let n = -15.5 + 16. Sort z, -4, n in descending order.\nAnswer: n, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 152*w - 150*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58542*l**2 - 28970*l**2 - 29082*l**2.\nAnswer: 490*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*t - 556 = 1259. Let z be 718\/(-4) - (-2)\/4. Let a = t - z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3824257.\nAnswer: 593, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 446.1 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 4 - (-3 + 4 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 10954 and 1.6.\nAnswer: 17526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 56 = 18*x + 38 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 8:08 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**2 - 4. Suppose -5*b + 116 = 4*g + 127, 0 = 5*g - 4*b + 24. Let y(l) = 3*l**2 - 9. Determine g*y(u) + 9*k(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -24876, -49752, -74626, -99498, -124368, -149236?\n\"Answer: w**2 - 24879*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 179 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 - 2 - (-2)\/(-1). Let a be 1\/c + 2\/(-4). Which is bigger: a or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 228 = -i. Suppose -5*o = -133 - i. Is 17 a factor of (-1 - o*-1) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -285708*h**6 - h**2 + 15769*h?\nAnswer: -34284960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3*o**2 + 2)*(12*o**3 - 4*o**3 + 3*o**3) + 15 - 15 - 2*o - 26*o**5.\nAnswer: 7*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-26))**(3\/11))**(25\/6) assuming t is positive.\nAnswer: t**(-325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22156779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -11*n - 9. Let x be k(-11). Let b = -115 + x. Sort 8, b, 1 in ascending order.\nAnswer: b, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 7*y - 5. Let z(k) = k**2 - 4*k + 1. Let q be z(5). Let b(u) = -8*u + 6. Let x(r) = q*o(r) + 5*b(r). Let m(j) = 6*j. Determine x(m(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -68 - 7. Let j = m + 126. Let p(b) = -b**3 + 8*b**2 + 6*b - 6. Let y be p(6). What is the highest common factor of j and y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -7*q + 5. Let z(n) = -13*n + 11. Suppose 129*k - o + 1 = 127*k, 0 = 4*k + 4*o + 44. Determine k*z(v) + 9*w(v).\nAnswer: -11*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-379)\/2 + 0)\/(57\/(-114)). Suppose -11*g - r = -12*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 3*a**3 - 2*a**2 + 6*a + 5. Let k(c) = 3*c**3 - 2*c**2 + 7*c + 6. Give -3*k(l) + 4*m(l).\nAnswer: 3*l**3 - 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) -1.299 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 43176138*t + 56006193.\nAnswer: 43176138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2\/4783 - 282209\/28698. Calculate the common denominator of o and 25\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4335 or 2\/7?\nAnswer: 4335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 9*m**3 + m**2 + 8*m - 2. Let p be k(4). Let y = p + 281. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -15*k**3 - 13202*k**2 - k + 2663516 wrt k?\nAnswer: -45*k**2 - 26404*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 - 5*b**3 + 8)*(-2 + 0 - 10) in the form i*b**3 + p + k*b + n*b**2 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -9021 (base 10) to base 12.\nAnswer: -5279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -3*n - 2*b, b = -5*n + 12. Let k(y) = -3*y**2 + y - 1. What is k(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3772796 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 2*v**2 + v. Let p be k(-1). Suppose -p = -5*a + 9. What is the greatest common divisor of 18 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -900*j - 539. What are the prime factors of y(-3)?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 2027123469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be -2 - (2\/(-1) + -2). Let w(g) = 24*g - 7. Let s be w(t). Let n = -38 + s. Solve 4*a - n*v = -5, 0 = 5*a - 3*v + 2 + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - (2 + -1)) + 1. Suppose a - 5*b = -0*b + 5, t = 5*a - b - 1. Solve a = -0*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2 + 2 + 0 + j. Let u(h) = -h**2 + 8*h - 3. Let z be u(8). Let f be n(z). Solve 3*c = 5*q - 10*q + f, 7 = q + 4*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - m + 8 = 24, -4*m - 4 = -i. Let u(b) = b**3 - 4*b**2 + 2*b - 3. Let l be u(i). Suppose l*z + 8 = -7. Are -6 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -608507 by 1.\nAnswer: -608507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 386 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v + 4*v + 43865496. Let x be (-5266374)\/5*(2 + 3). Let g = v - x. What is g rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 45 - 36. Let m(r) = -10*r + 132. What is the remainder when m(10) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of 9*m**4\/2 + m**3\/3 - m + 28. Calculate c(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, -47, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1379241852 to the nearest integer?\nAnswer: 37138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 207 - -21?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of -w**5\/120 + 202*w**3\/3 + 214. Let k(f) be the third derivative of j(f). Let r(x) = x**2 - 5. Determine r(k(p)).\nAnswer: p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 2*y**3 - 3*y**2 + 3. Let g be w(3). Suppose 3*q = q + g. Suppose 5*i = 53 + 92. Solve u - 5*c - i = 0, q = -4*c + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*sqrt(68) - (sqrt(68) - (2*sqrt(68) - sqrt(68)))*-3)\/((-1*sqrt(16) - sqrt(4))*2).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**(1\/16)*s*s)**(-3\/28) assuming s is positive.\nAnswer: s**(-195\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -0.09 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 132135933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001925612 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 - -82519.\nAnswer: 82519.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + (-57 - -33) - 13?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 2, k: 4, r: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -211056501?\nAnswer: 211056504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of -1\/4*w**4 + 0*w**3 + 3*w - 1 + w**2. What is the units digit of n(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.642, -16, 3 in descending order.\nAnswer: 3, 0.642, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 PM and 7:33 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -2*k - 31 - 5, 0 = -2*a + 2*k + 22. Let h be 24\/14 - (-2)\/a. Let q = 8 + -13. What is the closest to 0 in h, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 99 = 4*h + 2*d, 18 = h + 2*d. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*n = 2*b, -4*n = -b. Let u = -24532 + 24528. Is u <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 136 a factor of 94917290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3356651.\nAnswer: 3356651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -675*l**4 - 5*l**3 + 111*l**2 + 14?\nAnswer: -16200*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uraqz. Give prob of sequence qr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -18459*l - 1026 = -9241*l - 9237*l for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - -6) + -1 - (3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 648 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-127)\/((-2286)\/(-540)))\/(2\/(-1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3038, -6196, -9328, -12434?\nAnswer: -15514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -10001101 (base 2) in base 15?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(9\/2*(-5974)\/(-87))\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 12*f - 53. Let b(u) = 23*u - 102. Give -4*b(v) + 7*r(v).\nAnswer: -8*v + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*y - 215 - 321 = 112 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 228*c - 237*c - 837 = 0. Which is greater: -367\/4 or c?\nAnswer: -367\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3155*w + 5781*w**2 - w**3 - 5784*w**2 - 309*w.\nAnswer: -w**3 - 3*w**2 - 3464*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 36\/10 + 9\/(-15). Let f(u) = 5*u + 3 - 2*u**2 + u**y + 7*u**2 + 0*u**3. Let k be f(-4). What is the third smallest value in k, -2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 + 0)*2\/2. Suppose y = f*t - 0*t - 21, -t - 3*y = -21. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, -1, 0.8 in decreasing order.\nAnswer: 0.8, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v + v - 4*v)*(7*v + 8*v - 8*v) + v**2 - v + v + (5*v**2 - 3*v**2 - 4*v**2)*(-1 + 4 - 1).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 AM and 8:31 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -19*d - 1 + 0 - 28*d - 2. Let k be i(1). Let b = 54 + k. Solve y + 3 = 4*y, 0 = v + b*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 34 (c) 1.7 (d) 0 (e) -1237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/80*10 + 1*(-2)\/(-4). Sort 175, -3, 0, m, -2 in increasing order.\nAnswer: -3, -2, 0, m, 175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, -45, -57, -55, -33, 15, 95, 213?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 3 = 11. Let m = -127 + 132. Which is the second smallest value? (a) m (b) r (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -32, -64, -96, -128, -160?\n\"Answer: -32*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**2)**22)**(4\/35))**(-2\/13) assuming x is positive.\nAnswer: x**(-352\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/855 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 487*u = 469*u + 144. Solve 5*s - 15 = u*s, 5*m - 4*s = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -26, -16, -2, 369, 7.\nAnswer: -26, -16, -3, -2, 7, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -160 - -126. Let g = -42 - -28. Let n = g - j. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 7:09 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7636 is divided by 262.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*l - 9*l - 6, -3*b - 3*l + 6 = 0. Let s(j) be the first derivative of 0*j + b*j**2 + 15 - 1\/7*j**4 + 4\/7*j**3. What is q in s(q) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2665, -21068, -71011, -168262, -328589, -567760, -901543, -1345706?\nAnswer: -1916017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 6*c + 2. Let s be f(-2). Let j = -14 - s. Let h(z) = 3*z**2 + 14*z - 11. Let g(x) = -x**2 - 5*x + 4. Calculate j*h(m) - 11*g(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0419595 to four dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 34158521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 58276 and 6?\nAnswer: 174828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 135589, 542363, 1220321, 2169463?\nAnswer: 3389789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 + f + f - 15*f**2 + 8*f**2 + 12*f.\nAnswer: -7*f**2 + 14*f - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 91\/2 bigger than -0.045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7099 = 235*n - 239*n + 3*i, 2*i = -3*n + 5337. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of g**3\/2 - 3*g**2 + 6*g + 2. What is the lowest common multiple of 42 and k(10)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 37715611 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**3 + p + 2. Let y(q) = -2*q**3 - q. Let j be y(1). Calculate the remainder when m(j) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17 - -28. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22725 and 144533525?\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -900, -909, -918?\n\"Answer: -9*m - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2160)\/(-243) - (-16)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - 3 - 1. Let k = -728.9621 - -729. Let r = -0.1621 - k. Sort r, p, -2, 5 in descending order.\nAnswer: 5, r, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/3 + 466*o**2\/3 - 14504*o\/3.\nAnswer: -2*o*(o - 196)*(o - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.13 (b) -2 (c) -3 (d) -2\/1435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -29 and 74.\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 518*r**6 + 891*r**2?\nAnswer: 62160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7027515 and 1375?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 AM and 5:50 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n + 4*a - 47, 0*n - 3*a = -n - 44. Let p = n - -39. Sort 1, p, -2 in increasing order.\nAnswer: -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-95*l**2 + 23*l**2 + 41*l**2)*(l - 3 + 3) to the form h*l**2 + n + j*l + x*l**3 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = p - 8. Suppose 0 = -0*y + p*y - 126. What is the units digit of (-8)\/28 - (-1455)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 139 - 136. Suppose -2*b + 5 = -9. Let v(j) = -5 + 4*j**2 - 2*j - 4*j - 2*j + b*j - j**h. Calculate v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 6*h + 16*h = 0. Suppose -15 = -h*y - 3*y. Solve m - 18 = -y*l + 2*m, 3*l + 2*m = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1280.8 + 1282. Which is the closest to 1? (a) h (b) 2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a = -161 + 172. Let d be ((-82)\/123)\/(a\/39). What is the closest to 0.1 in d, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1\/6 + 5\/24. Let i = -848249 - -848247. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 164 = 5*d, 0 = -2*d + 8*t - 6*t + 72. What is the hundreds digit of (5196\/15)\/(d\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -10868, -21539, -31756, -41291, -49916, -57403, -63524, -68051?\n\"Answer: 38*t**3 - t**2 - 10934*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -145 - -175. Is (-170)\/(-3)*p\/25 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of -r**5\/10 + r**4\/3 + 5*r**3 + 172*r - 183. Let q(t) be the first derivative of y(t). Let q(x) = 0. What is x?\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25664260 and 1552?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*v + z - 43, 21*z - 16*z = 5*v - 45 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000009089149 rounded to 7 decimal places?\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.22 (b) -8 (c) -1 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 193412952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i - 17. Let y be o(4). Let q(g) = -g**2 - 14*g - 17. Let l be q(y). Sort 9, l, -3, -2\/3.\nAnswer: l, -3, -2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -536582, -535663, -534118, -531941, -529126, -525667, -521558?\n\"Answer: q**3 + 307*q**2 - 9*q - 536881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*z - 6*z - 6*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v - 7. Let x be b(-6). Let m(u) = -6*u**3 - u**2 - u - 1. Let d be m(x). Suppose -6 = i - 2*l, 14 = 5*l - 11. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrgn when four letters picked without replacement from {g: 1, n: 10, q: 2, r: 7}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19785 - 852 = -61*y + 15353. What are the prime factors of y?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 791*h - 115503. Give m(146).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -8*d. What is the remainder when 21 is divided by f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-19)\/(f\/f**(11\/5)))\/(f**(10\/9)*f**8) assuming f is positive.\nAnswer: f**(-1211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26938709\/900 + -29932. What is the common denominator of -93\/20 and b?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 651970 is divided by 93136?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 - 3)*(2*w**4 + 0*w**4 - 3*w**4) + (1 + 0 - 2)*(5*w**4 + 0*w**4 - 4*w**4) - 10*w**4 + 5*w**4 - 12*w**4.\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6967?\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2500 in -2, 452, 1\/10, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 + 94*k + 2144. What is z(118)?\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 256 - 116. Let r be 15*7\/(q\/972). Suppose -4*m - t + r = 0, -4*m + 2*t = t - 735. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 49*x + 16 - 16 in the form c + p*x and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -11028 divided by -3676?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**5\/9 + 6962*j**4\/9 + 37292*j**3\/3 + 97948*j**2\/9 - 111874*j\/9 - 34970\/3 = 0. What is j?\nAnswer: -15, -1, 1, 3497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*y, -34 = -2*v + 4*y - 2*y. Suppose -2*u - v = -5*u. What is the lowest common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -510 - -509. What is the remainder when 197 is divided by (9 - 7)\/(q\/(-50))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) -1\/18 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -19. Let i = r + 30. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1428 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 10 = 3*g. Suppose 3*k = -7*o + g*o, 3*k = o. Suppose 2*f = f + 1. Sort f, 4, o in increasing order.\nAnswer: o, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 5*v + 62 - 89 = 0, 3*f = -4*v - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 2*m + 0*m**2 - m**2 + 2*m**2 - m - m**3. Let i(z) = 707 + 2*z + 5*z**2 - 3*z**3 + 0*z**2 - 2*z**2 - 706. What is i(h) - 2*w(h)?\nAnswer: -h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1538892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((4*(-1*sqrt(637) - sqrt(637)) + 3 + 2)*-6 + 1)**2.\nAnswer: -38976*sqrt(13) + 2936978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 65036638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12487, -24985, -37483, -49981, -62479, -74977?\nAnswer: -87475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 1 = 9. Suppose 3*r - 36 = -4*a, 2*a - 24 = -5*r + d*r. Let u be (2 + -3)\/((-2)\/a). Solve -j + u*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4*q = -2*l, 3*q = -2*l + 23. Suppose -4*c = -2*c - l. Find the first derivative of 6 - 3 - 4*r**2 + r**c wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/15 - 645\/(-225). Solve 0 = t - o*z + 2, -4*t + z + 3 = -0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*a**3 - 161*a**3 + 32*a**3 + 49*a**3 + 51*a**3 - 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3674b4 - 2b?\nAnswer: -367523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*z + 11*z - 8 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60324031?\nAnswer: 19, 29, 109481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2425937 centuries in decades?\nAnswer: 2.425937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -x + 5. Suppose 7 = -2*u - x. Let i(y) = -3*y**2 + 5*y + 6. Let j(m) = -2*m**2 + 4*m + 5. Let r(w) = u*i(w) + 6*j(w). Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 3*d - d - 53 = 0, 3*d + 33 = 5*h. What is the second derivative of -9*f**2 + h*f + 0 + f + 0 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 96.300253 to the nearest integer.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 8 (c) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/20 of a week in minutes?\nAnswer: 1512","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -331*k + 1 + 333*k + 3*k**2 + 1 - 5*k**2 + 5902*k**3.\nAnswer: 5902*k**3 - 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 210 by -3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 2*v + v. Suppose -2*l = h + 3*h - 216, -5*l + 260 = 5*h. Suppose h = 4*u - v. What is the remainder when 86 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g - 21 = g. Let d(q) = 15*q**2 + q + 1. Does 36 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 minus -168122056?\nAnswer: 168122059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 484317.695 rounded to the nearest one hundred?\nAnswer: 484300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2202 + -2198. Let y = 4 + -2. Calculate the remainder when a is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -20*w - 4. Let l(b) = -4*b - 1. Let x(f) = -5*a(f) + 24*l(f). Let p be x(1). Sort 2, -3, p, 14 in increasing order.\nAnswer: -3, p, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of -1\/42*z**4 - 2\/7*z**2 - 1\/7*z**3 - z + 0. Factor d(r).\nAnswer: -2*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -32\/9 and ((-8)\/20)\/((-4)\/74)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -22*d. Let b(s) = 532859*s. Calculate m(b(p)).\nAnswer: -11722898*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 661938 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 376 (b) -9\/44 (c) -0.05 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00004815872 rounded to seven dps?\nAnswer: -0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (10\/(-4))\/1*2. Which is the fourth biggest value? (a) y (b) 2\/9 (c) -38 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express r**3 - r + 2*r**3 - 3*r**2 - 5*r**3 + 0*r**2 as x + s*r**3 + v*r**2 + k*r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 30575 divided by 6115\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4498874947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 106706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 0 - (-28 + 33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 17354 rounded to the nearest 100?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -1830 + 2253293741.\nAnswer: 2253291911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 3*m**2 - 5*m. Let w be x(-4). Let t be 6*(2 + (-6)\/4). Suppose -3*k + 5*o = -4, 11 = 4*k - t*o + 2*o. Is w < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n + 3*n - 3*n)*(-3*n + 3*n - 2*n**2) - n**3 + 3 - 3 - n**2 + 3*n**3 + n**2 - 1 - 3*n + 3 - 8*n**3 + n**3.\nAnswer: -3*n**3 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2 - 531*w + 2172.\nAnswer: -3*(w - 4)*(w + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -2*z + 2306, 0 = 27*d - 31*d - 16. Calculate the remainder when z is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*v - 0. Let w be -1 - ((-3 - v) + 2). Suppose w*p - 25 = -7. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1944 divided by 414?\nAnswer: 108\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -2*t + f + 59500, 0 = 4*t + 5*f - 119000. Suppose 0 = -5*o + 27 + 3. What are the prime factors of o\/14 - t\/(-98)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (10\/3)\/(13\/(312\/16)). Solve -g*j - 8 = -3*f, f - 1 = 2*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -138*i**2 + 129*i - 129*i. Let a be y(-1). What is a rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -0*w - 12552. Let p = -316 - w. Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 0*(-6)\/54 - -2*55 and 12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of 89*l**6\/360 + 6*l**3 - 3*l**2. Let r(n) be the first derivative of a(n). Let t(w) = -2*w. Determine r(t(d)).\nAnswer: 356*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = -8*a + 153. Let t = -2 + 5. Suppose -2*z - 2*r = -2, 0 = -9*z + 5*z + 3*r + 25. Solve a = f + z*x, x - 6 = -t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -3875*t + 1368. What is v(1)?\nAnswer: -2507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 103283*p**5 - p**4 + 3*p**3 - 145808981*p**2?\nAnswer: 6196980*p**2 - 24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 PM and 4:12 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 227918067 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: Suppose -5*u + d - 941 = -12106, -6*d = 2*u - 4434. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 23, 13, 10\/7, 1\/4, -16 in ascending order.\nAnswer: -16, 1\/4, 10\/7, 2, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2687801 + -2688397.6635. Let m = -597 - o. Round m to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 307, -0.4, 4, 0 in ascending order.\nAnswer: -0.4, 0, 1, 4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(68)\/(sqrt(8)\/sqrt(4)) + sqrt(34))\/sqrt(2))**2 + 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3293770 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + -5 + (-26)\/(-6). Let g = 5 - 1. Suppose -g*m = 4*x + 12, m - 5*x + 7 = 16. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 + 48*g**2 - 105*g + 249. Let h be t(46). Let u = -347 - h. Suppose -3*r - 2*r = 0. Solve f + u = -r*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82565038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 36 - 35. Which is the nearest to 0? (a) g (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90 + 90 + 5*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - 66*m**2 - 248*m + 2. Let t be n(-62). Let o(v) be the first derivative of 0*v - 8 - 3\/4*v**4 - v**3 + 0*v**t. Find f, given that o(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of -3*y**8\/112 - 2*y**5\/15 - 14*y**2. What is the third derivative of c(n) wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -519*a**2. Let r(t) = -5*t**2 + 368003*t - 368003*t - t**2 - 3*t**2. Give i(r(j)).\nAnswer: -42039*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1333880371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-5\/4)\/a*a)\/(a**21\/a*a*a) assuming a is positive.\nAnswer: a**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 234 = -4*h. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -80*w. Let c(g) = g**2. Determine a(c(j)).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -12*o - 65. Give g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6329*x - 6324*x - 20 = 5*j, x = 5*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/(-11))\/(-1) + 80\/44. Solve -3*q + a = z*a - 4, -10 = -5*q - 5*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffuvfuvfvvvvv. Give prob of picking 1 u, 2 v, and 1 f.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 0.75, -102, 71, 0.5 in increasing order.\nAnswer: -102, 0.5, 0.75, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -8, -20, -32, -44, -56, -68?\n\"Answer: -12*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*r + 2*r + 2*r)*(241*r**3 + 219*r**3 - 109*r**3) as b + u*r**4 + y*r**2 + o*r + k*r**3 and give u.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*k + 132 = 7*n, 331*k - 4*n + 34 = 329*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4*1\/22 - 414\/2640. Let h(c) be the third derivative of 4*c**2 + 3\/20*c**5 - 3\/8*c**4 - z*c**6 + 0*c + 0 + 1\/2*c**3. Factor h(k).\nAnswer: -3*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23912, 24025, 24138?\nAnswer: 24251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 134 and 2726096?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of l**7\/14 + 22*l**6\/5 + 468*l**5\/5 + 1215*l**4\/2 - 7425*l**3\/2 - 30375*l**2 + 209*l - 2. Determine j, given that s(j) = 0.\nAnswer: -15, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 0*w + 2*w + (2 - 3 + 0)*(-3*w + 0*w + 2*w))*(5 - 2 - 5)*(-2 - 4 + 3).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -207586000 to the nearest 100000.\nAnswer: -207600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(sqrt(9) + (sqrt(324) - (sqrt(324) - (3*sqrt(324) - sqrt(324)))) + sqrt(324)).\nAnswer: sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -453*a - 1025. What is t(-1)?\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 50*g**3 - 4*g**2 + 146*g**3 + 70*g**3 + 4*g**2.\nAnswer: 166*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32*((-2 - -4)*27\/24 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.1, 3, 4.39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 561 by 3.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14 - -1) + (-15 + 69 - 8).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -28 + -9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (77\/(-14)*6\/1848*-8)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 25, 48, 71, 94, 117, 140?\n\"Answer: 23*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {z: 6, q: 4, u: 1, t: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(171) + -4.\nAnswer: -4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/2349 and -1\/162?\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(425) + 1 + sqrt(425) + 3.\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 15*(-22)\/55*12*4\/32?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 4673 + 1190 = 2*n, 0 = -2*n - 8. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2093447993 to the nearest integer?\nAnswer: 45754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/113, -3\/11, 9, 0.17?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5994 = 29*t - 84689. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 + -25 + 7 - (-20 - -3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28*c + 38*c - 28*c)*((-4 - 2 + 4)*(4 + 4 - 5) - 1 + 1 - 1).\nAnswer: 126*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14357 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9893 + -4523. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*k - 21*k + 21 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + (-6 - -1) + (-190)\/(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dfdd when four letters picked without replacement from dfdffdff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6183 or -6178?\nAnswer: -6183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1253411*p = -1253384*p + 1269 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2580, -29 in decreasing order.\nAnswer: 2580, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (-16 + 17 + -4 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 111*i + 5*v - 636 = 0, -1133*i = -1128*i + 2*v - 18 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 252 - -140580748576.\nAnswer: 140580748828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 544859 is divided by 15659.\nAnswer: 12453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -443\/19 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 0.4, 0.5, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.3, 432, 0, 3, -3\/4, -0.6, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 75 - 15 = 6*r. Solve -2*w - w = r*m + 1, 2*w = -4*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 443644724 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)\/sqrt(36) + -2 + sqrt(95)\/sqrt(5) + (sqrt(171) + (-2 + sqrt(171) - sqrt(171)) + 4 + sqrt(171))**2.\nAnswer: 76*sqrt(19)\/3 + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - 0. Let x = 174 - 182. Which is greater: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3.24 and -3.\nAnswer: -9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 4)*(-1905*d**5 - 5424*d**5 + 1711*d**5).\nAnswer: 5618*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 5, -285, -1, -22 in descending order.\nAnswer: 5, 0.4, -1, -22, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 678336 + -5?\nAnswer: 678331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 16913 <= 16911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - 1. Let l(y) = -3*y**2 + 108*y + 978. Let v(n) = l(n) + 6*m(n). Factor v(z).\nAnswer: 3*(z + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 2*n**2 - 42*n + 325. What is h(15)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dz when two letters picked without replacement from lzdluudlzlll?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 308*w - 311*w = -8, -12 = -6*r - 3*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2021 - 830. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -242, -851, -1860, -3263, -5054, -7227, -9776, -12695?\nAnswer: -15978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {q: 4, f: 10}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (18 - 12) + (1 - 3). Suppose -i*s + 6 = -2. Calculate the greatest common divisor of s and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 124050 (base 6) to base 15\nAnswer: 350c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + (sqrt(612) - (sqrt(612) - sqrt(612)*-1) - sqrt(612)) + -2*-1*sqrt(612) - 5*(sqrt(612) + sqrt(612) + sqrt(612) + 0 + -4)) + 5)**2 + 0 + -2.\nAnswer: -5040*sqrt(17) + 138482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2*x - 2 = g, -3*g + 16 = 2*x. Suppose c = -h + 2, -x*h + 8 = -h - 5*c. Suppose d = h*d - 6. Solve 0 = o + d*l + 4, -l + 0*l + 4 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23.72 + -0.28. Let i = 13 + m. Let k = i + 11.3. Which is the third biggest value? (a) -3 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 3*c - 4 = 6, 5*c - 6 = y. Suppose y*g = 4*s - 2*s + 2, -2 = -5*s + 3*g. What is the least common multiple of (-1 + 4)*4\/3 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0099844 rounded to four dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = 4*c - 53650. What are the prime factors of c?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 114 divided by 38\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -14*v + 16*v. Let n be (3 - v) + -3 + (-754)\/(-190). Let i = -641\/760 + n. Calculate the common denominator of i and -149\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 508346 by 86.\nAnswer: 5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 845441478.\nAnswer: 2, 3, 7, 53, 126601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/(-3))\/((-3)\/(-9)). Let d be (8\/(-80))\/(l\/8). Solve 0*b**2 + 0 + 0*b - 6\/5*b**4 - 2\/5*b**3 - d*b**5 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56 divided by 21?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g + 8. Let a(d) = d**2 - 5*d - 10. Let n = -4 - -11. Let x be a(n). Is r(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - -7. Suppose b = 5*k - 3. Suppose -k*a + 82 = 26. Calculate the remainder when 26 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from {j: 3, z: 2, c: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 5*f = 1, 0 = -l + 2*l - 4*f - 1. Let y = l - 3. Let t(g) = -g**3 + 7*g**2 - 6*g + 3. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (21*c - 8*c + 18*c)*(0*c - 2*c + 0*c)*(2 + 0 - 4) as z*c**2 + j*c + d and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 - 5*w + 9. Let i be c(-5). Let t(q) = -2 - 6*q + i*q + 8*q - 2. List the prime factors of t(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -25 (b) 670\/9 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p - p**2 + 2*p**2 + 3*p)*(965 + 0*p + 4*p - 596).\nAnswer: 4*p**3 + 377*p**2 + 738*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -9\/5 (b) 6 (c) 5 (d) 7612 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15 + 15. Suppose -5*z + 4 + 26 = b. Suppose 3*h = 2*p + z, 0 = -3*h - 3*p - 0*p + 21. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14486, -28944, -43414, -57902, -72414, -86956?\nAnswer: -101534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, n: 7, c: 1, i: 1, p: 2, h: 1}. What is prob of picking 1 i and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/5))**(-41)*l\/l**(-4\/7)*l*((l*l**(-2\/3))\/l)\/l)\/(l*l**(-1\/5)*l\/((l**(-5)\/l*l)\/l)*(l*l**(3\/4))\/l**(1\/6)) assuming l is positive.\nAnswer: l**(-3483\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 16183562 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 59539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-34760 - 122*s + 34760)*(-2*s**2 - 10*s**2 + 11*s**2) + 3*s**3 - 2*s**3 + s**3 + 2*s**3 + 0*s**3 + 0*s**3 to d*s + x + h*s**3 + b*s**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (79*p - 9*p - p)*(-p - 4*p + 2*p)*(-3 + 1 + 4 + (-6 - 1 + 2)*(-7 + 3 + 3))*(3*p - 5*p + 4*p) - 2*p**3 + p**3 + 0*p**3.\nAnswer: -2899*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the first derivative of 5*v**2\/2 + 3. Let p be d(1). Solve 0 = -6*z + p*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = i - 20, -2*i + 60 = 5*n - 49. Solve 20*g = n - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.008331085 and -0.26.\nAnswer: 0.0021660821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 67634 (base 10) in base 3?\nAnswer: 10102202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1891103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/((20\/(-40))\/(-2*(-11)\/8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1212374.15514886 minus 0.5?\nAnswer: -1212374.65514886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*l = l. Suppose 3*w - 22701 - 7968 = l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 7*x = -2*k + 56, 113 = 5*k - x. Let y be ((-3)\/2)\/((-10)\/100). Suppose y*p - 54 = 6*p. Solve -o - k = -p*o + q, -5*q = 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - -1000512?\nAnswer: 1000514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -538532 or -4846778\/9?\nAnswer: -4846778\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*f - 7621 = -9559 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a + 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 2. Suppose -2*z = 5*m + 5, -4*m + m + 23 = -4*z. Let x be m*(2 + -2 + -1). Put x, s, -4 in descending order.\nAnswer: s, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of 19*y**4\/24 - 161*y**2\/2 - 196. Let d(w) be the second derivative of v(w). Let m(s) = 2*s. Determine d(m(r)).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 3*s**3 + 3*s + 2. Suppose -41*q - 3 - 38 = 0. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1213340330 (base 5) in base 12?\nAnswer: b657a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -353.\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1138335236.\nAnswer: 2, 284583809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be 69\/(-78) - (2 + -3). Let n = 8\/13 - d. Let x be 7\/10*(-376)\/(-658). Which is the third biggest value? (a) 0.2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108 = 5*x - 2*x. Let j be 0 + (-168)\/(-18)*3. Let k(o) = 30*o - 795. Let f be k(j). Calculate the highest common factor of f and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.074 + 0.374. Let n = -16.24 + 16. Let c = n + j. What is the closest to 1 in 0.2, -0.4, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a - 126 = -23*a. Suppose a = g - 0. Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 24, 32, 46, 66, 92, 124, 162?\n\"Answer: 3*x**2 - x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 2*l - 14. Let z be g(8). Let y(r) be the first derivative of 0*r**3 - z - 1\/3*r**6 + 0*r**5 + 0*r + 0*r**2 + 1\/2*r**4. Factor y(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -13433 divided by 1\nAnswer: -13433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k + 145 = 5*j + 2*k, 45 = j + 3*k. Let r be -34*(2 - j\/6). Suppose -36 = -5*a + r. Round a to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 24*x - 5. Let a be y(4). Suppose 4*t = 117 + a. Suppose 0 = 2*q + 22 + t. Calculate the common denominator of q and 77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8\/5, -2\/15, 1\/6 in decreasing order.\nAnswer: 1\/6, -2\/15, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 371173575?\nAnswer: 3, 5, 53, 93377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q - 6*q - 1 - 6*q**2 + 3 - q**3. Suppose 14*p + 31 = -39. Determine g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12110 + 12022210?\nAnswer: 12112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*z + 2*h = 28*z + 70, 2*z - 3*h - 140 = 0. Calculate the highest common factor of 448 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c**(-9)*c))**(-32\/3)*c\/c**(-5)*c\/c**(-14))**(-18\/11) assuming c is positive.\nAnswer: c**(1350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -24. Suppose 13 = -k*x + 3. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 11*a**2. Let f(k) = -4*k**2 - 1. Determine f(j(w)).\nAnswer: -484*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o = -5*x - 20, 21*o - 20 = 16*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g**4 + 2493*g**3 - 206493*g**2 + 4801320*g - 2349348 = 0 for g.\nAnswer: 1\/2, 43, 58, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 22\/(-28) - 1\/(-2). Let f = 2987 - 14936\/5. Which is the second smallest value? (a) k (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2.27 (b) -3\/4 (c) 4 (d) -5 (e) -1\/156 (f) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**2 - 2*l**2 + 3*l**2 + (4 + 9*l - 4)*(-11068 + 11068 - 87*l).\nAnswer: -784*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -3871*s**3 + 283. Let j(h) = -1935*h**3 + 133. Let m(c) = 3*b(c) - 7*j(c). Find the first derivative of m(f) wrt f.\nAnswer: 5796*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/648678 and 43\/108.\nAnswer: 11676204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7\/(-7) - (3 + -2). Let k be (m\/(-11))\/((-3)\/(-3)). Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-5)*w)\/(w*w\/(w*w**(-2\/19)*w*w)))\/w**(-2\/15)*w**(-39)\/w**32 assuming w is positive.\nAnswer: w**(-21082\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of 0 + 0*j**5 - 1\/24*j**4 + 0*j + j**2 + 0*j**3 + 1\/105*j**7 + 0*j**6. What is the second derivative of x(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2135702, 2135708, 2135726, 2135762, 2135822, 2135912, 2136038, 2136206?\n\"Answer: z**3 - z + 2135702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 126743 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - u + 19006, -2*u + 15196 = 4*a + u. What are the prime factors of a?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -434 (b) 4.29 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 12*d**2 - 10*d - 12. Let k be s(11). Let h be (k - -1)\/(-1 - -3). Which is smaller: h or 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1289520 divided by 360\nAnswer: 3582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -34443403 (base 5) in base 9?\nAnswer: -525418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**3 + 12*i**2 - 3*i - 9. Let n(o) = 3*o - 46. Let d be n(17). What is the hundreds digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13.1 - -13. Which is the nearest to -1\/2? (a) y (b) 3\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 527169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -411 - -425. Sort c, 4, 5, 2 in descending order.\nAnswer: c, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 64 = -104. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (30\/(-6) + 6)*-3. Let l be ((-4)\/8)\/((5 + o)\/(-4)). Calculate the highest common divisor of l and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -14490 by -14490.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 3*w = 46, 0*w = -2*b + w + 102. Suppose -g + 6 = -16. What is the units digit of g\/26 - (-8)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssxsxwws. Give prob of sequence sssx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1912*f**2 + f + 8124.\nAnswer: -3824*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/6897 and -25\/737352.\nAnswer: 8110872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from cdece.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1946\/(-5)*(460 + -465) and 14.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -16a114b (base 15) to base 9\nAnswer: -33862428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -735 + 1147 = -4*u for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.9826 + 4.9826. Let q be (-5)\/2*2\/(-10). What is the closest to 0 in 4, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 13, s: 5, h: 2}. What is prob of sequence ss?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s**3 - 574*s**2 + 622*s - 14300. Let b be l(286). Let m be 0 + -1 + 123\/121. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.13 + 0.17. Let w = 2.04 - c. Let a = -4\/11 - -30\/143. What is the closest to w in a, -0.07, -2\/9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -222736, -445460, -668186, -890914?\n\"Answer: -k**2 - 222721*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 11:16 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*f - 14 = -47. Let o(k) = 2*k**3 - 2*k**2 - 9*k + 5. Let c be o(f). Let y be ((-12)\/14)\/((-16)\/c). Put y, 14, -4 in decreasing order.\nAnswer: 14, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.39 + -14.99. Let s = b + 14.98. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 432341?\nAnswer: 7, 13, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b - 1. Let m(a) = -22*a**3 + 44*a - 44. Calculate 3*m(k) - 132*v(k).\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 368742 or 368729?\nAnswer: 368742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b + 5*q + 8, -2*b + b - 3*q = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -3*t - 2. Calculate n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + 5*j**2 + 6*j + 5. Let i(p) = -p**3 + 9*p**2 + p - 13. Let c be i(9). Let q = 10 + c. What are the prime factors of n(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/3)\/24*3*0. Suppose c = -4*x - 6*x + 700. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -84*s**5 - 4750*s**4 - 27190*s**3 + 15810*s**2 + 15514*s + 700 = 0.\nAnswer: -50, -7, -1\/2, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 58 + -57.8. Which is smaller: x or 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (4\/(-6))\/((-9)\/27). Find h such that 6*h - 3 + 2 + 4 + 3*h**o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-22) + (-175)\/55 + 13. Solve -11 = 7*s + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 2*m**3 - 3 + 0*m**3 + 2 in the form l*m**2 + p*m + n*m**3 + o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -636061 + 3150?\nAnswer: -632611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*d + 1415 + 654 = 183 - 2184 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/((-1)\/50*20\/(-8)). Suppose -5*c + j = -c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z**3 + 2*z**2 - 4*z + 2. Let q be x(-5). Let m = -120 - q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153 is divided by 124.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*u + 34 = -15*u - 11. Let p(f) = 1. Let c(n) = -5*n - 3. Let g(q) = c(q) + 2*p(q). Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -170, 2\/3, 17?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) -56 (d) -295\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/6, 0, -0.019, 0.12, 1 in ascending order.\nAnswer: -0.019, 0, 0.12, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -66 + -2 - (122 - (113 - -43)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9407464 or 9407463?\nAnswer: 9407463","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Expand 45*n**5 - 3*n**3 + 3*n**3 + (0*n**4 - 3*n**4 + n**4)*(-2*n - n + 2*n) + 11 - 6*n**5 - 11 + (-2*n**4 - n**4 + 5*n**4)*(0*n + n - 2*n).\nAnswer: 39*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -542054445 - -5?\nAnswer: -542054440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(1458) - (sqrt(1458) + -1 + sqrt(1458))**2)*-4.\nAnswer: -2700*sqrt(2) + 116660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - h + 3395 = 0. Let n = h - 6104\/9. What is the common denominator of -47\/6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 AM and 1:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -11, -33, -45, -41, -15, 39, 127, 255?\n\"Answer: t**3 - t**2 - 26*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 38*648.44\nAnswer: 24640.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15291*b = -15213*b - 2886 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 256580 and 256581 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3*r + 3)*(-3*r + 22 - 22).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5 + 5)*(3*t + 0*t - t)*(-2779 - 679 - 3549 + 918 - 732).\nAnswer: 27284*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000002905141 to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 104350523 (base 6) to base 16\nAnswer: 1cef33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -190, -502, -984, -1672, -2602, -3810, -5332?\nAnswer: -7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*t - 130*t - 162*t.\nAnswer: -280*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/(l*l\/((l*(l**(-4\/3)\/l)\/l*l*l)\/l)))**4*(l*l*l**2*l)**(-21) assuming l is positive.\nAnswer: l**(-331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 - 5*q**2 + 15*q - 14. Let v(g) = -17 + 60*g - 20 - 5 - 15 - 5*g**3 - 20*g**2. Let k(p) = 9*c(p) - 2*v(p). Is 19 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 27\/4 - 6\/8. Let n(o) = -o**3 + o. Let c(v) = v**4 - 7*v**3 - v**2 + 7*v. Let u(m) = k*n(m) - c(m). Factor u(a).\nAnswer: -a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 2 = v, o = 5*v + 6*o - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/6, 0.2, 28\/17, 3\/8, 0.3, -64 in descending order.\nAnswer: 28\/17, 3\/8, 0.3, 0.2, 1\/6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -111222.3 + 106445. Round g to the nearest ten.\nAnswer: -4780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -42 + 44. Let x be 8\/14*4\/(-32)*-4. Put x, 0.5, d, -3 in decreasing order.\nAnswer: d, 0.5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 43 - 162 = -17*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 5*h**3 + 2*h**2 - 16*h. Let f be p(4). Calculate the highest common factor of f and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**2 - 3*y**2 - 2*y**2 + 6*y + 4*y**2 + 8.\nAnswer: (y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -115 + 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 120 - 12. Suppose -3*g - g + z = 0. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3\/(-2))\/(1\/6*-1). Solve -2*i + 33 = -4*g + y, -4*i - 12 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - r + 3214. Let v be h(0). Suppose 0 = 2*q + v - 760. Let c = q + 577. What is c rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (0 - -9) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/5*s**3 - 2\/5*s**4 + 0*s - 2\/5*s**2 + 0.\nAnswer: -2*s**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1427 = 21*j + 24*j + 463 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (15 + (-2545)\/170)*2\/(-142). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -23? (a) 1.6 (b) 2\/3 (c) 4\/9 (d) 0 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 300231 + -23?\nAnswer: 300203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*8\/12 + 4\/6. Suppose -691 - 1107 = -58*m. Solve 2*y - o + m = 4*o, s*o = -3*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -47*l - 7. Let m be 6\/(-9) - (-4)\/6. Suppose -d - 5 = 4*x + 2*d, -3*x - d = m. Let k be o(x). Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10823868 and 145776?\nAnswer: 43295472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, u: 6, j: 2}. What is prob of sequence ll?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/3 + 0)\/2. Let x = -0.49 - 2.51. Which is the second smallest value? (a) 57 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3576, -3113, -2342, -1263?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -43*n - 18. Let b(o) = -39*o - 17. Let z(a) = 7*b(a) - 6*y(a). Let v(d) = -2*d. Let t(k) = -3*v(k) + z(k). Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/8 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u\/u**(-6)))\/u*u)\/u**12 assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k*k**(-9)))\/k)\/(k*k**(-3)*k))\/(k**(-3\/4))**(25\/7) assuming k is positive.\nAnswer: k**(327\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - 25a3a?\nAnswer: -25a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1491860 - -800757\nAnswer: -691103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 7. Suppose -j + 288 = -4*k, u*j + 0*k = -k + 916. Suppose -5*r - 3*f = -j + 54, f = -r + 48. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 20 - 6*i + 12 - 32. What is o(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -66, -371, -894, -1659, -2690, -4011, -5646, -7619?\n\"Answer: -4*q**3 - 85*q**2 - 22*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -9*c**3 - 1201*c**2 - 561*c - 3850. Determine i(-133).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 11*t**2 - 8*t + 16. Let j be u(5). Suppose 5*c - 3*y = -y + j, 2*c - 4*y = 110. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 - 252\/(-52))\/(-2). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 724, 727, 732, 739, 748, 759, 772?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/4)\/(3\/(-8)). Let r be (-20)\/8*x\/(-5). Suppose -2*b + 2 = 2*u + 2*u, -r*b = 3*u. Calculate the least common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3073 or -3046?\nAnswer: -3073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 5:03 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-35))\/(57\/95)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 9609800 to the nearest 100000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 37\/(-148)*(2 - 50). Solve -14*j = -o*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*l = 13, -5*l = -2*l. Suppose -15*u = -y*u - 18. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -707723 plus -0.1059237?\nAnswer: -707723.1059237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 91409336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Total of 3 and -456.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 116458 != 116458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.281233 - 49.282103. Let o = -35 + 83. Let j = l + o. Round j to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -742 < -735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + -41046?\nAnswer: -41052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 17*z**3 - 2*z**2 - 2*z - 1. Let w be c(-1). Let y be (-10)\/(-15) + 8\/w. What is the third biggest value in y, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 19855 * -910.\nAnswer: -18068050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -39 - -34. Let i = 12 - 8. Let l = i + 0. What is the nearest to -0.4 in 2\/9, g, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 + 8*j - 13. Determine g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of 3*d**2\/2 + 104*d + 23. Let n be g(-33). Solve -3*i - 2*u + 3 = -2, n*u = -i + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1121, 4372, 9585, 16592, 25225?\nAnswer: 35316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g + 0*g + g + (0 - 1 + 3)*(-3*g + 5*g - 4*g) - 2*g - 1 + 1)*(-65 - 2*g + 65).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5644 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 24\/4 - (3 + -2). Suppose 0 = 6*n - 7 - 11. Let f = 2463 + -2462. Which is the closest to f? (a) d (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 815930145 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1266*l + 1 - 3855*l + 1279*l + 1202*l.\nAnswer: -108*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/9 - (-1983)\/9. Let n = -2067 - -2070. Suppose n*i - y = 29. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13978 - 14390. Is m at most -418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4\/3, 374, 34, -328\/7, 0.1?\nAnswer: -328\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*((-1)\/(-7))\/((-38)\/(-665))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -3*n + 3. Let a be d(-6). Let o = -17 + a. Solve 0 = o*x + 4*t, x + t = -2*t - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 times 0.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 49 + 51 + 9 + 22 + 8*f - 59.\nAnswer: 8*f + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*q - 261375 = -260780 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3303763?\nAnswer: 17, 31, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/1664 and -44\/3.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 328*i - 9017627 - 2544373 = 0. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 7 + 16875*u - 16998*u - 2 + 0.\nAnswer: -123*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of -w**7\/1260 - w**6\/240 + 17*w**5\/60 + 37*w**2. Let f(s) be the third derivative of u(s). Give f(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 2. Let h be ((-18)\/x)\/(7\/(-224)). Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100302 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.36 - -0.04. Let w = 5.6 - 6. Let f = -1.4 - w. Which is the second biggest value? (a) 2\/13 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - -100000001011100100001010110?\nAnswer: 100000001011100100001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -27899 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -20. Suppose -4*l - v + b = -l, l + v - 4 = 0. What is the least common multiple of 1 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 3, p: 4, m: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -23*p + 276. Let b be s(11). Solve -18*u + b = 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.4 + -0.4. Let w = -93\/140 + -3\/35. Let v = -1456 + 1457. What is the closest to 0 in v, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 13.894 - 19\nAnswer: -5.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 3582*f = 3*h + 3577*f + 86, 5*h = f + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-90830)\/118079*((-30)\/(-255) - 94\/(-68))?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5153 or -5168?\nAnswer: -5168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144156 is divided by 2402.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g = -0*g + 3222. List the prime factors of g.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32844 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (2 - 2) + (41 - (21 - 10) - 51)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1789, -3597, -5429, -7297, -9213, -11189, -13237?\n\"Answer: -2*f**3 - 1794*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 4. Let y = -4 - -4. Solve u*s + 16 = -y*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -749190 minus 0.08?\nAnswer: -749190.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 6, v: 4, u: 3}. Give prob of picking 1 l and 2 u.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117*a - 44*a - 26*a + 60*a.\nAnswer: 107*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 + -8. Let h = 10 - u. Let k = -6 + h. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120 divided by -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.06 + 0.06. Let f = 1286.6 - 1282.6. Which is the third biggest value? (a) 0 (b) n (c) 0.1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 19*c**2 - 1. Suppose 0 = 5*x + 4 + 6. Let i be l(x). Let h = i + -54. Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32*186 + (-4)\/(5 - 1) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1649*-0.4\nAnswer: 0.06596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2321719 + 383081287\/165. Let n = -158\/11 - m. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lhdbdbd. Give prob of picking 1 b and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -922*o = -1620*o - 20242 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7932674 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: Find the common denominator of -47\/22916888 and 71\/204.\nAnswer: 1168761288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 3*q = 33, 4*z + q = -q + 34. Let h be (-2)\/4*3\/z. Let n = -927 - -927. Sort 3, n, h.\nAnswer: h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 539 and 2739352.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-12)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, v: 6, b: 1, m: 1}. Give prob of sequence vb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 37191491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -12*g**2. Let z be 238\/17 - 16 - (2\/1 + -6). Let k(x) be the first derivative of -1\/2*x**z + 0*x + 4. Give k(d(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (120\/210)\/((-5)\/(175\/2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * -98768\nAnswer: 9876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1587 = 3*q - 4*h, -2*h - 537 = -q + 2*h. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -6*p. Let h(b) = 6*b**2 - 6*b. Let n = 10 + -4. Let k(l) = 12*l**2 - 11*l. Let t(y) = n*k(y) - 11*h(y). Calculate x(t(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 - 11*a - 8. Let o(d) = 8*d - 23. Let t be o(2). Let g be y(t). Calculate the least common multiple of 4 and (-360)\/50*g\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1200 + -31?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31463147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -3\/7, 5, 2366, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4493710*c**6 - 76*c**2 + 3221?\nAnswer: -539245200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26 - 137. Let u = n - -167. Let p = u + -51. What is the fourth smallest value in -1\/2, 2\/7, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 2\/7*q**3 - 2\/7*q + 0*q**2.\nAnswer: 2*q*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (162\/(-36))\/(6\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 54771 - 31106. Round u to the nearest 100.\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -27. Let a be t\/(-2) - 1\/2. Solve 2 = -3*v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 0)*(81 + 22*r - 42 - 40).\nAnswer: -22*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*w + w - 2*w)*(2 - 2 + 2) - 3 + w + 3)*(-2*w + 0*w + 5*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*z + 3 - 3)*(29 - 20 + 14 + 5 - 2 - 4 + (4 - 5 + 0)*(4 - 1 - 1)).\nAnswer: 160*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (27 + -5 - 13) + (0 - 4) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-9)\/20 + 1\/4. Suppose -3*b = -20 - 10. Let f be 28\/(-20) - (-4)\/b. Is o bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2639 - 2635.341. Round o to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 526186.\nAnswer: 2, 19, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4\/237 and -17\/2046726.\nAnswer: 161691354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -5*r - 19, b = 5*r + 28 - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 2*p**3 + 72*p**2 + 196*p - 17. Give b(-35).\nAnswer: -4427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.9818 and -19.1.\nAnswer: -56.95238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, y: 2, m: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.07 + -0.03. What is the closest to o in -1\/2, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1010 - 1026 + 391)*(-x + x - x).\nAnswer: 1645*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 7*o - 4. What is i(-12)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k - 74 + k - k.\nAnswer: 2*k - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-24)\/6 - (-12 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27272970?\nAnswer: 2, 3, 5, 83, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 2*x = 0. Suppose 14*d + 14 = 70. Suppose -5*q + 16 + d = x. Calculate the smallest common multiple of 14 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/((sqrt(6) - sqrt(48)\/(sqrt(16)\/sqrt(2))) + sqrt(6)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42198307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71 + 5446*t**2 - 73 + 3*t**3 + 7*t**3 - 8*t**3 + 5741*t**2.\nAnswer: 2*t**3 + 11187*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 73 + -113. Let x = 0.02488 - 39.73488. Let v = a - x. Round v to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 159*2 - (76 + -71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -54 - -61. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2*r**2 + 2*r - 2. Let g(a) = 6*a - 79. Let t(c) = c - 13. Let n(q) = -6*g(q) + 39*t(q). Let y be n(10). Determine b(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 94161*y**2 + 76353.\nAnswer: 188322*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -8*u**2 - 87*u - 7. Let p(f) = -9*f**2 - 83*f - 9. Calculate -5*p(q) + 6*w(q).\nAnswer: -3*q**2 - 107*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6789166 seconds in milliseconds?\nAnswer: 678.9166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (84549 - 76*p - 84554 - 91*p)*(-2 + 4 - 6).\nAnswer: 668*p + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (255\/(-34))\/((-3)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/((-5)\/((-45)\/6)). What is the common denominator of -20\/7 and x\/(-60)*(-530)\/(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31463231407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 32219\/226317 + 16\/32331. Factor -8\/7 + k*r**3 - r**2 + 2*r.\nAnswer: (r - 4)*(r - 2)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -38 in 0, 3\/8, 0.3, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**2 - 9*o + 4. Let f be s(7). Let n = 0 + 0. Sort n, f, -2, -3.\nAnswer: f, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -14*j + 54. Give b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -3*z + 58. Let r(h) = h - 19. Let m(g) = -8*r(g) - 3*t(g). Let l be m(8). What is the tens digit of 4\/(-6)*21\/l - -93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99193.\nAnswer: 281, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2067 is divided by 1945.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/12*(21 + -20))\/(2 - 0).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1070 is divided by (171 - 162) + 7*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*w + 159 + 283. Let j(r) = -r**3 + 26*r**2 + 3*r + 1. What is the tens digit of j(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 207477.\nAnswer: 3, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 53563463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.814001438 to 3 decimal places.\nAnswer: -0.814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 80770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151251*u - 151248*u + 4 - 4.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -349*q - 2248 = 1591 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 558 = 16*h - 11*h, -2*h - 3*k = -216. What is the highest common divisor of h and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -221 in -2\/9, 2\/9, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3*q + 12. Calculate f(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - 5*d**2 - d + 13. Let t be p(-6). Let j = t - 43. Calculate the highest common factor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 924790 rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -549 = -4*d + 4*u - 133, d = -2*u + 101. Suppose -3*f + d = -149. What is the lowest common multiple of f and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -6*m. Suppose 0 = -3*l + 4*l + 4*c + 7, m = 2*l + 3*c + 14. Let r be (17 + -3)*(-2)\/l. Solve 3*y = -y + r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38808095\/2 > 19404048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 100 + -38. Let o = c + -58. Solve -17 = -4*j - 4*q + q, 4*q - o = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*j**3 + 5*j**3 + 0*j**3)*(-2 + 3 + 0) + 2*j**3 + 21*j**2 - 21*j**2)*(-j**2 + 0*j**2 + 2*j**2) + 2*j**5 - 32*j**4 + 0*j**5 + 0*j**5.\nAnswer: 6*j**5 - 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 2*p = -40. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 368*j + 359*j - 3 - 728*j + 3.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (((sqrt(7) + sqrt(7) + 1 + -5 + -4*1*sqrt(7))*1*3 + -5)*-2)**2.\nAnswer: 816*sqrt(7) + 2159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10666 + 10921 = -15*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15 - (-82)\/(-6))\/((-10)\/(-1)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1084 - 435. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -21.69 and -1093848.83?\nAnswer: 1093827.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7, 6, -4, 6\/23?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 54538584 to the power of 1\/2, to the nearest integer?\nAnswer: 7385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of n**5\/240 - n**4\/16 + 3*n**3\/8 + 3*n**2\/2 + 2*n. Let o(h) be the first derivative of x(h). Let o(g) = 0. Calculate g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 199 + -200 + (-12 - (-1 - 0) - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 - 9*q**2 + q + 14. Suppose 1 + 8 = -g. Let l be t(g). Solve -l*y + 4*c = 11, -2*y - 8 + 30 = 5*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**2 + 0*k**2 + 6*k**2)*(3*k - k + 0*k)*(-4 - 15 + 2).\nAnswer: -238*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -208518 = -64*y + 890170. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -8*p + 28. Let d(w) = 10*w**2 + 3. Let r(s) = 19*s**2 + 7. Let z(n) = p*d(n) - 4*r(n). Differentiate z(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 241937734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 353010?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31 + -28. What is the second derivative of 3*j - v*j**3 - 6*j**3 + j + 3*j**3 wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u and 1 s when four letters picked without replacement from uuuussususuusssussu.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13124 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 945 = -4*v - 5*g + 3863, -1468 = -2*v + 2*g. What is the highest common factor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6507 is divided by 2164.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 15*m + 92. Let z be y(-5). Solve 0 = z*p - p + 80 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 23 and 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1*-221707*(-27 - -26)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 9) + 6 - (0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 101 = -37. What is the second derivative of -47*f**2 + 4*f**3 - j*f**3 + 10*f**3 + 11*f**3 - 106*f wrt f?\nAnswer: 12*f - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p - 3. Let f(m) = -m + 2. Determine 11*f(o) + 6*r(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9 - -3)*3\/(-9). Let t be 15 - 2 - (w + -1). Suppose t = -2*h + 5*x, 5*h - 46 + 14 = -3*x. Solve h*r + s + 6 = 0, -3*r + 0 - 8 = -s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0*6\/48*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1143 (base 6) to base 16\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2658 is divided by 443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/(-6))\/((-38)\/(-12)). Suppose -4*k = 5*v + 68, 2*k - 10 = -11*v + 14*v. What is the nearest to 2\/3 in 1, k, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1076\/18 - 30\/(-135)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 801 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(-1))**(-2\/15)\/((d*d**(1\/2))\/d*d\/d**0))**(2\/119) assuming d is positive.\nAnswer: d**(-53\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 - 3 = -6*p. Calculate the greatest common factor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -38 in -0.1, 0.007, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o**(-10)*o*o))\/(o**(-2)\/o)*o**(1\/5)*o**(-2\/3) assuming o is positive.\nAnswer: o**(173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 15 + 4*y**2 + 9 + 84*y - 64*y.\nAnswer: 4*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g - 25. Suppose 7*b = 4*b - 45. Let t be c(b). Suppose 0 = -n - t + 7. Solve 12 = -2*d + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the second derivative of 147*q**5\/100 - 63*q**4\/10 + 6*q**3 - 12*q**2\/5 - 10*q + 1. Find i, given that x(i) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -17591156*t - 11545016 wrt t.\nAnswer: -17591156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 359536189?\nAnswer: 79, 4551091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8944 and 832.\nAnswer: 35776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 2:49 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 741 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-1 + sqrt(567) + -4)**2*-1 + -2.\nAnswer: -3554 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(2700) + 3*sqrt(1323))\/((-3*(sqrt(99)*2 + sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99)) + sqrt(99))\/(5*sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 994 - 581. What are the prime factors of g?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42 - 33. Is v at least 29\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/32*4\/(-3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 25883265 or 2?\nAnswer: 25883265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, 11.12, -296\/17, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -14655 or -14654?\nAnswer: -14654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yfxrruyfrxurxyxfux. What is prob of picking 1 f and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -946224, -1892450, -2838676?\n\"Answer: -946226*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 94 + 116 = 0. Let y be (-2)\/(-42) - 12\/k. Let i = -8.97 - -9. What is the third smallest value in i, y, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/(28\/(-216)))\/(34 + -36)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 484 + -488. Let u = 2.7 - 1.4. Which is the third biggest value? (a) m (b) -1\/12 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/136194100 and 11\/9646.\nAnswer: 1770523300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 49819937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**2 + 11*u + 14. Let c be (24 + -24)\/(1 - 4). Suppose c = 2*r - 4*x + 16, -3*x - 49 = 5*r - 4*x. Determine n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27993 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 136471 (base 8) to base 10\nAnswer: 48441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/((12\/(-16519))\/(-1)). Let c(u) = -112*u - 54. Let d be c(24). Let p = d + s. What is the common denominator of p and 57\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 6, f: 1, i: 3, y: 2, s: 5}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-9)*2\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of -3*l**2\/2 - 4*l + 26. Give u(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + -6. Let y = j - 4. Put 4, -3, y in descending order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 640 and 53632.\nAnswer: 268160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes after 2:28 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 568424 and 5576?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -95\/102 and 65\/4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -33*p + 32*p. Let z be p\/((-14)\/77 - 68\/(-11)). Sort -0.1, z, 36 in descending order.\nAnswer: 36, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(588))\/(sqrt(144) - sqrt(4)) + (sqrt(363) + -1 + (sqrt(147) + 1 - sqrt(147)))**2*-5.\nAnswer: -1815 + 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 33\/43369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of 9*o**5\/80 + 811*o**4\/16 + 54945*o**3\/8 + 54675*o**2\/8 + 2*o - 4. Factor p(d).\nAnswer: 3*(d + 135)**2*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3, -1, 1, 3?\n\"Answer: 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -3*o - 29. Calculate the lowest common multiple of x(-16) and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-20))\/(((-117)\/65)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/5)\/(15\/(-50)). Let i be (-2)\/8 + (-1)\/f. Suppose i = -2*w + 32 + 16. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 + 4*k**2)*(-2 + 2 + 3) + (-1 + 1 + k)*(0 + 0 + 2*k) in the form w*k**2 + v*k + o and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36 + -30. Let r = 171 - 97. Let q = r - 52. Calculate the smallest common multiple of z and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 5*p + 9. Let d be (1 + 34\/(-6))*3. Let m be b(d). Let j = 81 + m. What is the least common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3 = 3*o, 3*l + l + 8 = -o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2\/7*s - 2\/7*s**4 + 0 + 2\/7*s**2 + 2\/7*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 12, 11, 10, 9, 8?\n\"Answer: -a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -9159829849*d**3 + 45799532073*d**2 - 1914144*d + 20.\nAnswer: -(d - 5)*(95707*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5*g*r*y + 5*g*y + 2*g + 4*r*y - 376*r + 329*y wrt r?\nAnswer: -5*g*y + 4*y - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 0.18 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 8 = -w + 15, -5*n - 5*w = -55. What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-30)*x**(-4)*(x**(2\/33)\/x)\/x**(2\/37) assuming x is positive.\nAnswer: x**(-42727\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.7 + 0.3. Let j = -2.3 + p. Which is the smallest value? (a) -3 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/1*-5*(-32)\/(-280)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, -15, 5, 4, 0, 22, 1.\nAnswer: -16, -15, 0, 1, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 51*u - 2. List the prime factors of w(20).\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -2*p**3 + 18*p**2 - 11*p - 7. Let q(h) = -3*h**3 + 27*h**2 - 17*h - 11. Let l(k) = -5*q(k) + 7*y(k). Let b be l(7). Does 9 divide b\/(-8)*1*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 770 + -769.8068. What is q rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -798, -3174, -7134, -12678, -19806, -28518, -38814?\n\"Answer: -792*q**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 + 9*j**2 - 3*j + 9. Let q be y(-9). Let r = q + 7. Let v = -30 + r. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 - 1\/5*k**4 - 3*k**3 - 17\/5*k - 57\/5*k**2 = 0 for k.\nAnswer: -9, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.161 or 1870?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9246 = 2*z + 4*y - 4492, -3*y - 13724 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-21)\/49 + 4 + (-159)\/21. Sort r, -3, 7, -15.\nAnswer: -15, r, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/849, 2\/25, -5, 4\/9, 0.1?\nAnswer: 1\/849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**3\/11 - 138*s**2\/11 + 270*s\/11 + 85050\/11.\nAnswer: 2*(s - 45)**2*(s + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 117 + -277. Let v = -160.1 - r. Which is the third smallest value? (a) v (b) -2 (c) -1\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*j + 68484 + 15936. What is j rounded to the nearest one hundred?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k + 1. Let c be p(-4). Suppose -4*r = -c*r + 20. Let x = -15 + r. Solve x*g = 3 + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31 - 1223323?\nAnswer: -1230020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47005 is divided by 23048?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 6*y. Let u(r) = -2*r**2 - 4. What is u(x(n))?\nAnswer: -72*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 445881497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 629\/(-153) - (-2)\/(-6) and 55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19901 - -20369. What is the highest common divisor of p and 2448?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3372 divided by 6.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -46 - -76. Suppose -4*y - 2*y - s = 0. Is 10\/((-2)\/685*y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131678.\nAnswer: 2, 65839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15232\/(-3840) - (-7)\/42?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 120\/50 + 14477\/(-3255) + (-96)\/(-56).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.4? (a) -0.57 (b) 77 (c) 2 (d) 4 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 3*a**2 - 3*a + 2. Let p = -6 - -11. Suppose -11 = -4*y + 1, 4*y - 42 = -p*z. Let v = 8 - z. Give o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 187*b - 1127*b + 242*b as w*b + v and give w.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 6749 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4566831.\nAnswer: 3, 751, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -23*c + 40*c - 4 - 4*c - 7*c**2 - 14*c as s*c**2 + n + m*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 6:40 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 863842410 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.113 + 0.613. Which is the second biggest value? (a) z (b) 16 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the first derivative of y**4\/4 + y**3 - y**2 + 3*y + 2. Let d be t(-3). Suppose 2*x - d = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, s: 1, f: 1, u: 1}. What is prob of picking 1 u and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2 - 113333*w - 5 + 7 + 7. Let t be d(-9). Suppose -2*y + 4*v + t = y, -4*y - 5*v = -1359990. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - f + 3*r = 3, -4*f + 3*r + 25 = 0. Calculate the remainder when 11 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 729 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g + 14. Let b(n) = -n**2 - 6*n + 128. Let t be b(9). Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of 2 + y**2 - 4 + 0 + 0. Let f(z) = -8*z + 13*z + 0*z. Give f(m(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 140226 and 0.3.\nAnswer: 42067.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 13*t - 324. Let u be 22\/(-6) - (33 - t). Which is the second smallest value? (a) -3 (b) u (c) 13\/9 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3*i = -d + 23, i + 4*d + 13 = 0. Let z = -9 + i. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.636863 to two dps.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01095228 rounded to four decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 - 1)*(-14 + 3 - 39)*(0*k - 6*k + 2*k) - 5*k - 2*k + 0*k.\nAnswer: -407*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from riiirriiriiik. Give prob of picking 3 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 131*c*d**5 + 207*c*d**4 - 1160*c*d - c - 2*d**3 + 3*d**2 + 10 wrt d?\nAnswer: 7860*c*d**2 + 4968*c*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/718, 0.3, 27515?\nAnswer: -1\/718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 PM and 10:42 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 3*t + 2 = -q + 9*t, -t - 3*t - 4 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 7590804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of -w**4\/24 + w**3\/3 - 10*w**2. Suppose 22*j + 180 = 67*j. What is c(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 + 14*y**2 - 24*y + 5. Let x be o(12). Suppose 4*b + w = -w + 58, 0 = -x*b - w + 71. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - (-2 + (-3480)\/364 - 68\/442)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, 8, 1, -5, -1543.\nAnswer: -1543, -5, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49372738.\nAnswer: 2, 24686369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -5061566, 6.\nAnswer: -5061566, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 + 15*a - 16. Does 34 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3216)\/(-18) - (-4)\/3. Let l be (-5)\/(q\/(-152)) - (-8)\/(-36). Let o(x) = -x**2 + 4*x. Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 389393721 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: What is the greatest common factor of 68 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + 16 + 5 + -8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3803*t + 3800*t + 5 = 4*y, -4*t = 7*y - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7290\/72)\/(-45)*1*2\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (180\/(-25))\/(-9) - (-3)\/(-5). What is the fourth biggest value in x, 1, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {u: 1, a: 7, b: 4, s: 6}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*j - 2*j + 0*j + 3*j + 43.\nAnswer: j + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 27*t - 28*t - 7, -5*t - 22815 = -5*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/4)*v*v)\/v*v*v*v*v*v**7*v*v)\/(v**(-3\/4)\/((v*v\/(v*(v\/(v\/v**(-2)))\/v)*v)\/v))*(v**(-5)\/v)\/v*v**2*v*(v**(1\/3))**41 assuming v is positive.\nAnswer: v**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -30.9268 + -0.0732. Which is the closest to 0? (a) -2 (b) p (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -10*x**2. Let m(g) = -g**2. Let f(r) = 6*m(r) - s(r). Let h(k) = -2*k - 4 + 4. What is h(f(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0 + (0 - 1) - (54 - 58)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1872)*2 - sqrt(1872)) + sqrt(52))\/(sqrt(6)\/sqrt(3)*6))\/((sqrt(98) - sqrt(98)*5) + -2*sqrt(2)*-3).\nAnswer: -7*sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 4*t - 4. Let y be 8\/16*(-16 - -2). Let r(v) = 5*v - 5. Let g(h) = h**3 - 6*h**2 + 6*h - 6. Let c be g(4). Let f = c + 20. Determine f*r(k) + y*w(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3\/17 (b) 3 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {r: 6, n: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + 3*(sqrt(5) + -2)**2 + sqrt(5)*-2 + 0.\nAnswer: -13*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1515\/2 + -756. Let q(j) be the first derivative of -3 - u*j**2 + 0*j. Let m(n) = 2*n**2. Give q(m(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -9489*b = -9500*b + 54 - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28, -20, 0, 38, 100, 192, 320, 490?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*z**2 - 6*z**2 + 0*z**2 - 7*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-seven quarters of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be -21 + 23 + (-2)\/(-2). Suppose -z*x - 15 = -0*x, 4*x = m - 26. Calculate the remainder when 13 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/50403 + 35382920\/352821. Is d smaller than 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-6) + (-115)\/10. Suppose 0*d + 5*d + 25 = 0. Let u(z) = -8*z. Let p(x) = -58308 + 58308 + x + 19*x. What is d*p(n) + v*u(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -10001010112011 (base 3) to base 8.\nAnswer: -6125277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - -8. Suppose -4*d + v = -3*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 52 and 1166.\nAnswer: 30316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -300.99 + 301. What is the nearest to 0 in 3\/5, p, -1\/14, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -7614 and -0.4?\nAnswer: 7613.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -120 (base 3) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 1007*x + 1022. Determine u(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 29585\/5 - (4 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -94*x + 735. What are the prime factors of y(5)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 8 = 4*d - 28, 2*i = -2*d - 10. Let b = i + 25. Suppose -3*o = a + 2*o - b, -3*o - 90 = -3*a. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 - -14. Solve 2*c + 25 = -4*b + 5, 5*c - u*b + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 - 3*w + 3. Let f be r(3). Suppose -2*i = f*i - 30. Let v(a) = 9*a - 21*a + 0*a + 6*a - 8 + a + 7*a. Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of -m**5\/60 + m**3\/6 + 3*m**2. Let r(y) be the first derivative of w(y). Let l(t) = -t**2. Determine l(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**2\/9 - 74618*j\/9 - 11641079\/3 = 0. Calculate j.\nAnswer: -74147, -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 6 + 7*m**2)*(m - 4*m + 2*m) - 1301*m**3 - 866*m**3 + 1446*m**3 to the form i + h*m**3 + u*m + z*m**2 and give h.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from dbbvnv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h + 1. Let v(a) = -a**2 + 2. Let p(s) = s - 14. Let w be p(9). Let d = -16 - w. Let j = 12 + d. Calculate j*v(l) - q(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, k: 4}. What is prob of picking 3 k and 1 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.921044 millennia to decades.\nAnswer: 892.1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -4*o - 25. Let c be m(-5). Let x be c\/50*-5*16. Solve 2*v - 3*n + x = -n, -4*v - 15 = -3*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19477949 to the power of 1\/2, to the nearest integer?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3\/5, 36, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/7 (c) -7801 (d) 5 (e) 2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7667 and 5.\nAnswer: -38335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i + 6*i - 4, -4*i = 3*q - 398. What is the remainder when q is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5 and -38803?\nAnswer: 38808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18780.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -8*u - 10. Let m = 19 + -19. Suppose -3*x + 21 = -3*a, 2*a + m*x = -5*x. List the prime factors of o(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -4) + (2 - (-10 + 20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 25015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 146*w. Let y(j) be the second derivative of -j**3\/3 + 87*j - 1. What is f(y(n))?\nAnswer: -292*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (12\/15)\/((-6)\/(-15)). Let z be 1148\/7 + d + -1*1. Suppose -12*r + r + z = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 - 6. Let u = -5 + 11. Let q = u - 5.7. Which is the third smallest value? (a) 5 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(((-6)\/(-7))\/(-3)). Let m = 454 + -452. Let n(u) = 17*u**2 + 1 + 4*u**2 - 6*u**2 - u**3 - 8*u**m + 5 - 4*u. What is n(c)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-10)\/(-20))*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -664279.7239 - -664240. Let q = v - -39.5238995. Let r = 0.2 + q. Round r to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20 - 25 + 23 + 24 - 5*s**3 - 34*s to y*s + r*s**3 + c + w*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -73*f**2*i - 86*f*i*k + 115*f*k - 281665*i*k - 2*i wrt f?\nAnswer: -146*f*i - 86*i*k + 115*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4429.40297387741 + -0.4.\nAnswer: -4429.80297387741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2765 and 4291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -3*a + 24. What is the tens digit of 116 - ((-4)\/a + (-10)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-16)\/120 - 2708\/(-60) - 5. Calculate the greatest common divisor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5080*a - 2540*a - 2547*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2548)*2 - sqrt(2548) - sqrt(2548) - sqrt(2548) - sqrt(2548)) + sqrt(2548) + sqrt(2548))\/(sqrt(32)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of 195 - 13\/9*k**4 + 10\/9*k - 1\/27*k**6 - 7\/3*k**2 + 2\/5*k**5 + 68\/27*k**3. Determine t, given that z(t) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 PM and 11:18 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 + u**2 - u - 4. Let f be y(0). Let t(c) = -c + 2. Let j be t(3). Suppose -10 = -5*h - 0*h. Put h, f, j in decreasing order.\nAnswer: h, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**3\/i*i)\/i**(-10))\/((i\/(i\/(i*i**(2\/7)))*i)\/i)**(1\/7) assuming i is positive.\nAnswer: i**(628\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 458*b - 60 = 443*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3040 (base 5) in base 11?\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/135*((-490)\/21)\/(-7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 91271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c. Let p(x) = -x**3 - 19*x**2 - 2*x - 37. Let r be p(-19). Let g(o) = -30*o + r - 1 + 724*o**2 - 714*o**2. Determine g(b) - 30*q(b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -147*b**2 + 10010*b + 180. Determine j(68).\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 92*g + 102*g - 3 - 200*g to a*g + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2049693 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 718487 is divided by 783?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 57, -13\/4?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 121\/(-21))\/((-2510)\/(-1757)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-104 - 245887\/(-2358))*12\/(-280).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, 882558, -3 in decreasing order.\nAnswer: 882558, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 185*x = -224*x + 76755 + 21814. What is the remainder when 3373 is divided by x?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - 7*i - 6. Let v(w) = 2*w + 1. Let t be v(1). Suppose t*b = -0*n + 5*n - 57, 3*n + b - 23 = 0. Does 12 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 + 8. Calculate g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - g = 10. Suppose -2*m - 2*a = -2, -4*m - 4*a = -g*m + 16. Sort m, 1, -2 in increasing order.\nAnswer: -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2229, -7, 1, 2 in descending order.\nAnswer: 2229, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -4*h**3 + 2*h**2 - 6*h. Let g be k(-5). Let z be 1\/(-3) - g\/(-12). Suppose 0 = -4*x - 0*x + z. Solve a - x = 3*l, 4*l = 3*a - 0*a - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence koao when four letters picked without replacement from kkkoaokioaki.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-16113)\/(-369) + -36 - (-1 - (0 + -8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -18? (a) 1\/4 (b) 0.4 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the third derivative of 4*z**2 + 0*z**7 - 2\/15*z**5 + 0*z + 0*z**3 + 0*z**6 - 1\/42*z**8 + 0*z**4 + 0. Find the third derivative of n(c) wrt c.\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51226 is divided by 17072.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/((-2)\/6) + -3341 + -9. Let s = t - -26859\/8. Let n(o) = 3*o**2 + o + 2. Let u be n(-1). Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 times -53316\nAnswer: -159948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 - 16*u**2 - u + 17. Let m be f(16). Sort m, -3, 0, -9 in descending order.\nAnswer: m, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -5*g + 75. Suppose 0*r + 3*r - 39 = -5*x, 5*x = -4*r + 42. Let l = x - 6. Solve -5*m + g = l, 5*u - 5*m + 35 = -0*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**3 + 9*d**2 + 41*d - 360. Let x be q(8). Solve -8 = -x*y - 40 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8062749.59 to the nearest one thousand.\nAnswer: -8063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = 3*i + 21. Let y = i - -13. Suppose 0*b - y = -3*b. Solve -4*g = g - b*c - 17, -5*g - 2*c + 33 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 14493832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1954.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -7) + (23 - 26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 8*b + 12. Let k be z(5). Suppose -p = -2*c - k, p - 14 = -c + 29. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/15 - 58\/(-10). Find the second derivative of -9*q**h - 10*q - 41*q + 76*q wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.8 and -23.\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 13*v**2 - 584*v + 1094. Determine z(43).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 6 (c) -2\/9 (d) 1 (e) -1\/6 (f) 420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express m**2 - 3*m**2 + 2 - 5 - 2*m**2 as p + g*m + i*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vxxxvvxvxpkpxppxy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 217273 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3159659 take away -130?\nAnswer: -3159529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/((c*c*c\/(c*c\/c**1))\/c))*c**(-3\/2))\/((c*(c*c**4*c)\/c*c)\/(c\/((c\/((c\/c**(-1\/5))\/c*c))\/c*c))) assuming c is positive.\nAnswer: c**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 26*z**2. Let q(o) = -5*o**2 + 2*o. Give d(q(t)).\nAnswer: 650*t**4 - 520*t**3 + 104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7796*u**3 + 5326 wrt u.\nAnswer: -23388*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 222 = -0*r - 6*r. Let t = 3 - r. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 65.43668 nanograms in grams?\nAnswer: 0.00000006543668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*m - 3 + 3 + (m - 4*m + 5*m)*(1 + 3 - 2) - 70*m + 62 + 18 + 75*m)*(3 - 12 - 5) to t + p*m and give t.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*g - 2*g - 12. Let s(m) be the first derivative of -11*m**2\/2 + 9*m - 28. Let p(c) = 5*c - 4. Calculate g*s(v) - 13*p(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 - 15. Sort c, 6, -3 in decreasing order.\nAnswer: 6, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 6554914?\nAnswer: 32774570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 + 6*w - 6. Suppose -84*d = -79*d - 100. Calculate the lowest common multiple of d and p(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 7*r**3 - 2*r**2 + r. Let i be q(1). Suppose -v + i*v - 35 = 0. Suppose -4*d + 5*f + 24 = v, -4*f - 13 = -3*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 90 = -9. Let v = t - 7. Solve -4*a - v = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 425\/((-32725)\/(-6468)) + 1*-4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -111129*h - 252. Let r(l) = l. Give o(r(n)).\nAnswer: -111129*n - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -146*j + 12*j**3 - 1\/10*j**6 + 0*j**4 - 2 + 0*j**2 + 13\/10*j**5. Find the second derivative of l(y) wrt y.\nAnswer: -36*y**2 + 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 10*k + 9. Let q(y) = -9*y - 8. Let r(g) = 5*j(g) + 6*q(g). Let l = -7 - -5. Let o be r(l). Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(2\/10*(-1)\/(-7)). Let h = v + 469. Let i = h + -303. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11681508 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 12*o**4 - 11*o**4 - 9 + 3*o**3 + 24*o - 26*o + 3 as w*o**3 + c + a*o**4 + z*o + v*o**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/(3 + -5 + 1). Solve s = -2*m - 2 + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccvc when four letters picked without replacement from {c: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -10 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 58*t**3 - 7*t**2 - 18*t + 18. Let p(n) = 175*n**3 - 20*n**2 - 49*n + 50. Give 11*f(o) - 4*p(o).\nAnswer: -62*o**3 + 3*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1483*j**2*v**3 - 6019*j**2*v - 2*j*v**3 + 2*j*v + 722*v**2 + 35*v wrt v?\nAnswer: -8898*j**2*v - 12*j*v + 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -35 + (66 - 35) - 17\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5929, 11940, 17951, 23962, 29973?\nAnswer: 35984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -755, -755, -759, -767, -779, -795?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/1091 (b) -0.04 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + 13331?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120 divided by -68119.\nAnswer: -120\/68119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -22\/233?\nAnswer: -22\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -3*x**3 - 9*x**2 - 2*x. Let z(f) = 6*f**3 + 17*f**2 + 5*f. Let s(o) = 5*u(o) + 2*z(o). Find the third derivative of s(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/4))**(2\/17))**(-3\/19) assuming u is positive.\nAnswer: u**(-3\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -9f?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 7:15 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 77502 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 2*d = -2, 3*y + 16*d - 5 = 11*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1006549\/1177 + (-8)\/44. Let x be (-4)\/14 - 634\/(-14). Calculate the greatest common divisor of n and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 928, 930, 932, 934?\n\"Answer: 2*l + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*t = 72 - 213 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the third derivative of 6017*v**6\/120 + 601*v**5\/60 - v**4\/24 + v**3\/2 + 45*v**2 + 5. Find the third derivative of f(t) wrt t.\nAnswer: 36102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 267703 - -11?\nAnswer: 267714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-382)\/(-3) + 2\/(-6). Suppose -129 = -f - 3*j + 13, 2*j = f - q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 600 + -600.032. Round b to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*-75060.\nAnswer: -450360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 244880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 - 2*n**2 - 10*n - 7. Give g(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1599265607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (7 - 4 - 3 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1062 = 25*p - 138. Calculate the remainder when 299 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 126849 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(210)\/(sqrt(7)*1))\/(-2*sqrt(160) - sqrt(10)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-72000)\/(-35))\/((1*-3)\/120750). Round z to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 4*w - 6*w + 1970, 0 = c + 4*w - 482. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 5 = -3*c - t, 3*t + 10 = -c. Suppose w - 2 = c. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 98, 3, 0, 8, 41, -2 in descending order.\nAnswer: 98, 41, 8, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10111 + -3321300?\nAnswer: -3332011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-6*1*sqrt(190) + sqrt(190)))\/((sqrt(1000) - (-1*sqrt(1000) - sqrt(1000)))*1).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7269 or 6042?\nAnswer: 6042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*q + 279517 = 279551. Let o(n) = -28*n. Let y(a) = -3*a - 4. Let c(z) = 2*z + 3. Let w(x) = 4*c(x) + 3*y(x). Calculate q*o(j) - 21*w(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2836407 and 6221796.\nAnswer: 192875676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 36678081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 0. Factor r - 4 + a**2 + a**2 + a - a**2.\nAnswer: (a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 52\/5 - 354\/35. Let g = 0.99 + -1. Let k = g + 1.01. Which is the closest to k? (a) -3 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/3)\/((-17)\/(-51)). Suppose -6*g + 4*g + 32 = 0. Solve s*m = -0*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 3, s: 5, x: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-20416)\/(-3248) - (7 - 1). Which is the nearest to i? (a) -0.1 (b) 3 (c) -5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 577400 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.708 - 0.788. Which is the closest to -1\/3? (a) 4 (b) 2 (c) 0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -14*c + 14*c + c**2. Let q(j) = j - 4*j - 3*j. Calculate q(y(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - b - 10 = 0, 0 = v - 3*v + 5*b - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**6*p**30 assuming p is positive.\nAnswer: p**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, h: 2, o: 3, n: 1, k: 1}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61798968?\nAnswer: 2, 3, 7, 11, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14.9 - 15. Let b = -44 - -175\/4. Let n = 3.882 + 0.118. What is the third biggest value in n, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5017\/2 + 52688\/21. Let j = 85\/126 - h. What is b in 8\/9*b + 0 - j*b**3 + 0*b**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 5*q + 75 = 0, 3*t - q - 4 - 53 = 0. What is the remainder when -7*(-10 - (-3)\/(-3)) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - n = 4*p - 48, -n = 0. Calculate the highest common factor of 258 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hii when three letters picked without replacement from {w: 6, c: 2, h: 8, i: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -13705*y - 150882. Give q(-11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2258723.\nAnswer: 29, 71, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 12*i**2 - 99*i + 84. What is l(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 590*m**4 - 7*m + 69 wrt m.\nAnswer: 7080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -21964, -43926, -65888, -87850?\n\"Answer: -21962*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 81904 and 11952.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 4*g**4 - 46204*g**3 - 508864*g**2 + 1572016*g + 4809792 = 0. What is g?\nAnswer: -13, -2, 4, 11562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -3*i**2 + 24 + 6*i**2 - 8 - 9. Let w(j) be the first derivative of -2*j**3\/3 - 4*j - 1. Let k = -6 - -11. What is k*w(s) + 3*u(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/9? (a) 9 (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-825)\/(-48)*(-358)\/(-2685) and (-25)\/(-20)*38\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**2 + 535*w + 16261. Determine d(-35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together -25 and 2380.\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - n**2 + 5. Let t be x(0). Let g be (1\/(-1))\/(21\/(-6)). Let r be 160\/72*3\/4. Which is the nearest to g? (a) r (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2891 = 27*z + 5674 - 2918 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (9 + 2 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11\/25? (a) 218 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -6*(-12)\/(-8)*(-2)\/117?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum -767 and 1785089.\nAnswer: 1784322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -60 - -58. Let h be 7\/s*40\/(-70). Determine i, given that -32\/5 - 16\/5*i - 2\/5*i**h = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2391568.\nAnswer: 2, 19, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000452 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 8:07 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/2 + -23 + 24 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 2*i**2. Let g = -8672 + 8676. Let t(n) be the third derivative of -10*n**2 + 7\/12*n**g + 0 + 0*n + 0*n**3. Give t(o(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 25 = -0*r + 5*z, 0 = 5*z - 5. Let h be (-6)\/4*84\/(-18). Let o(b) = -h*b + 2*b + r*b. Let m(t) = -2*t. Calculate m(o(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 1\/10 (c) 2 (d) 377\/5 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -75*c + 62. Let b(z) = 152*z - 123. Let m(p) = -4*b(p) - 9*o(p). Find the first derivative of m(i) wrt i.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-20)\/15)\/(4\/(-486)). Suppose 0 = 5*z - 78 - p. Let w = z - 26. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30010313 (base 5) in base 13?\nAnswer: -83004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 162 - 240017?\nAnswer: -237635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t - 43. Suppose -11*g + 108 = -5*g. Let k be b(g). Is 9 a factor of (-654)\/k + (-15)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 5*f = 75721, 1 = -4281*f + 4280*f. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i**3 - 29094*i - 19721*i - 35785*i + 0*i**2 - i**2.\nAnswer: -2*i**3 - i**2 - 84600*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3933 and 342?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 - 4*f - 5. Suppose -2*b + 2 = -2*n - 18, -17 = 2*n - b. Let t(w) = -2*w**2 + 6*w + 7. Calculate n*q(u) - 5*t(u).\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96552.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1112 + 100?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 11732 divided by 7\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 39*(-38)\/57 + (-864)\/(-9)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -10 (b) -4\/7 (c) 140 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -366352 (base 10) to base 16.\nAnswer: -59710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -51 - -37. Let l = -16 - i. Let k be (-2 + 5\/3)*-2. Which is the nearest to 0.1? (a) -1\/4 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51310 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 554 and -1.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(8\/5)\/(t*t**(-1\/9)\/t))\/(t\/(t*((((t\/(t**(-2\/5)*t))\/t)\/t*t)\/t)\/t)*t)**25 assuming t is positive.\nAnswer: t**(-3973\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 60.1 + -60. What is the nearest to u in -3\/4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 154.15*-0.08.\nAnswer: -12.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 42444461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 939157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 243 and 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 5*d - 72. Suppose -3*t + 4*g + 48 = 0, 93*t = 89*t - 5*g + 64. Give z(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1850545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 + 17*c**2 - 19*c - 20. Let v be m(-18). Let n be (1\/(-2)*v)\/((-25)\/(-125)). Solve -n*f - 14 = 3*u, 8*u + 7 = 4*u + 5*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**3 - u**3 + u**3 + (2*u - u + 4*u)*(-1 + 3*u**2 + 1).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1252044673 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*f + 9978 - 23346 - 13943)*(1 + 5 - 5) to h*f + o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -14510251, -14510260, -14510269, -14510278, -14510287, -14510296?\n\"Answer: -9*z - 14510242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 25, 34, 51, 70, 85, 90, 79?\n\"Answer: -i**3 + 10*i**2 - 14*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -54 - -62. Suppose a*w - 45 + 21 = 0. Factor 2\/5*c + 2\/5*c**2 - 4\/5*c**w + 0.\nAnswer: -2*c*(c - 1)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -4573 + 3*o - 4571 + 9152. Let n = 4 - -21. Suppose z = 6*z - n. Let t(j) = 2*j + 4. Calculate z*t(y) - 3*w(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -5*s - 3292. Let b(t) = -t - 675. Determine 14*b(h) - 3*v(h).\nAnswer: h + 426","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/15 - 21\/5. List the prime factors of (y\/(-8))\/(1\/90).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d + 3. Let b be v(-4). Let i be b\/10 + (-9)\/(-14). Let o be 0\/((-2)\/(-2 - -3)). Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from bjjbjjddbddj?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -111 - -125. Suppose 0 = z*a + 36*a - 10500. What is the greatest common factor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, -0.62, 152\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1.77 * -1.2121\nAnswer: 2.145417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 513 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, 4, -36, -3320 in decreasing order.\nAnswer: 4, 3, -4, -36, -3320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8105\/3 - 2700. Let d(t) be the first derivative of 10 + 0*t**2 - 1\/2*t**4 + 0*t - k*t**3. Find the third derivative of d(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 271 a factor of 281840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o*o\/o**(9\/4))))**46\/(o\/o**(-1\/6)*o*(o\/(o*o**(-26)*o)*o*o)\/o) assuming o is positive.\nAnswer: o**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 952 a factor of 1063817160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.15 - -0.22. Which is bigger: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of z**4\/24 - 2*z**3\/3 + 6*z**2. What are the prime factors of w(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w**5\/9 - 164*w**4\/9 + 215*w**3\/3 - 802*w**2\/9 + 320*w\/9 = 0. What is w?\nAnswer: 0, 1, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -11*p**2 - 175*p + 836. Give u(-20).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1900*a = -402*a + 11510 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 299574239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-5) + (4\/(2160\/(-243)))\/(18\/(-336)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 46 - 134 = 0. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**2 - 37*b + 212. Let o be x(7). Solve 0*c + 6 = o*c + 2*h, -3*h = -4*c + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1111937483.999647 - -1111938281. Let r = -797 + h. What is r rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1, 319, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 120319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 - c. Let n be f(3). Suppose -4*r = -2 - n. Calculate the lowest common multiple of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 1478 = 2*s, 0*s + 372 = b - s. Let p = 183 + -243. Let n = p + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 38*n - 18*n - 15200. Suppose -6*s = -3*s - 3*x - 768, -3*s - x = -n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + 7*a**2 + 8*a - 10. Determine b(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add 0.831 and -297.\nAnswer: -296.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y + 7. Let l be b(-5). Suppose 3*p = l*p. Suppose p = -5*u - 4*c + 35, -u - c - 4*c = -7. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4\/31 (b) -5 (c) -2 (d) 21 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 97.29633 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41552 - 10*d**3 - 41552.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 + 9*l + 20. Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80) + (sqrt(80) + -1)**2 + (sqrt(500) - (sqrt(500) - sqrt(500)*1)) + sqrt(20)\/sqrt(4) + -4 + -1 - -5*(-5 + (-2*sqrt(5040))\/sqrt(7)).\nAnswer: -113*sqrt(5) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -5*q + 1860 - 24, -1104 = -3*q + g. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 7 + -5 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/(a**(-1\/7)*a)*a*a**(-3\/4)*a assuming a is positive.\nAnswer: a**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 445 - 444.9998804. What is v rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s - 2754 = 192. What are the prime factors of s?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 2 = -3*q + 10, -i = -3*q. Let s(x) = -x - x + 2*x - 1 - 2*x. What is s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -936*x**5\/5 + 7782*x**4\/5 + 9844*x**3\/5 - 18072*x**2\/5 + 2672*x\/5 + 384 = 0.\nAnswer: -2, -1\/4, 2\/3, 120\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -6461314 (base 7) in base 16?\nAnswer: -c063d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 6*m + 8. Let g(b) = 2*b + 3. Let q(w) = 17*g(w) - 6*x(w). Let c(j) = -j**3 + 3*j**2 + 6*j - 2. Let k be c(4). Give q(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 8*h - 22 = 11*h - 6*h, -5*h - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.47118 - -139.\nAnswer: 138.52882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3164 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 0 + (-5)\/(40\/(-5888))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-5 - -2)\/(3\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 681532711 - 12.\nAnswer: 681532699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**2 + 108*b + 111 = 0. Calculate b.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1636821.\nAnswer: 3, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2009 and 56.\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 3342348800*k**2\/3 - 163520*k\/3 + 2\/3 = 0.\nAnswer: 1\/40880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3\/7))**(-2\/23)\/(u**(2\/83)*u*u**(1\/4)) assuming u is positive.\nAnswer: u**(-66111\/53452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve t = -w - 3, -38 = 13*t - 2*w + 46 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 1388692?\nAnswer: 1388688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1103307 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 300 - 305. Let n be 5*(12\/5 - 2). Let t = 0.1 - -0.9. Which is the third smallest value? (a) t (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 812 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -48*w. Let i(a) = -14*a**2. What is i(j(m))?\nAnswer: -32256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g + 433 + 143 = 0. Let m = g + 60. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 71 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 59*b + 289. Let u be k(-5). Let y be (-6 - 4)*u\/(-10). Let a(z) = z**3 + 6*z**2 - z - 9. Determine a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -10*j - 75. Let i(k) = 10*k + 113. Let d be i(-12). Let z be m(d). Are z and -5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 5*g**4 + 5*g**3 - 5*g**2 - 5*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 3598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 111 = y + 114, -4 = 2*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = 5*d - 19, 2*d - u = -2*u + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12116 is divided by 2015?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 4*h - 24. Calculate the least common multiple of 4 and q(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -297*i**4 + 464412*i**3 - 181472448*i**2 - 58762608*i + 22014864 = 0. What is i?\nAnswer: -6\/11, 2\/9, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 723738 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - 3*z**2 + 5*z + 5. What is the units digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - -251?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, 1761, -5, 13 in ascending order.\nAnswer: -5, 0, 3, 13, 1761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -35353041 divided by 12?\nAnswer: -11784347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/40 and 25\/972.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*y - 5*y**3 + 13*y + y**3 - 25*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 5*y - 20 = u, 5*u = 5*y. Calculate the greatest common divisor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of -1028*k**5\/5 + 1195*k**4\/6 - 3241*k. Find the third derivative of d(o) wrt o.\nAnswer: -24672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 5 = -0*y + 2*y, 19 = 5*g - 2*y. Suppose 2*o = g*j - 8*j + 15, 0 = -5*o + 5*j - 15. Solve 3*a + 2*a - 12 = 4*s, o = 4*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f - f + 2*f + (2 - 2*f - 2)*(-1 + 2 - 2))*(-83*f + 35*f - 133*f).\nAnswer: -181*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -126 + 251. Suppose 0 = -x - 4*x + q. Solve 10 = -2*n - 4*s, 0 = n + n - 3*s - x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -88651 - -185028. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.22 - -0.72. Which is the closest to 1? (a) f (b) -0.11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/12)\/y)\/(y\/((y\/(y\/(y\/(y*y**(-3\/8))*y)*y))\/y)) assuming y is positive.\nAnswer: y**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 4*v - 1, -3*i + 8 = 3*v + 26. Let d = 3 + v. What is the units digit of (2\/4)\/(d\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 - 5. Suppose 2 = 5*b + 4*s + 32, 4*b = -4*s - 28. What is the units digit of (b\/(-4))\/((-2)\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w + 2. Let j be y(4). Let v be j + 18\/(-6) - (-3)\/(-1). Solve -3*b + 3*s + 18 = v, -2*b + 4*s + 23 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4852 and 2426?\nAnswer: 4852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75058 + 1594 = 4*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -438\/5 or -87?\nAnswer: -438\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of -c**7\/70 + c**6\/20 + 3*c**5\/20 - c**4\/2 - 2*c**3 - 8*c**2. Solve v(x) = 0 for x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 37*u - 30. Let n(s) = s**2 + s - 1. Let z be n(1). Let c be q(z). Solve c*o = 8*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63*u + 50*u - 763 + 253 - 74*u + 254 + 257.\nAnswer: -87*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 5*t + 20, p - 3*p + 20 = 5*t. What is the second biggest value in -3\/4, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -60*r**3 - 4*r**2 + 2*r. Give m(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 4*m + 42. Let g be a(-12). Let c be 2 + 2 - (3 + g + 29). Which is smaller: c or -21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 3*m - 54 + 5, -5*m + 39 = 3*b. Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -604*(-2 + 1 + -4). Suppose s - z = -2*l, -2*s + 3200 - 182 = 2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -152 + 62 + 630 = 108*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -2 + ((-31)\/(-6) - 0)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -138*d + 13. Is l(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rpppprp. Give prob of sequence ppr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -8769 divided by -237\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(7) + -5 + (sqrt(112))**2 + sqrt(7) + 3.\nAnswer: 2*sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of -y**4\/24 + 429*y**3\/2 - 13*y**2. Let z be n(0). Suppose 4*o = -q + z + 433, 4*o + 3*q = 1712. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 36, 3 in descending order.\nAnswer: 36, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -5*s**2. Let i(c) = 56844*c**2 + 46*c. Determine i(h(v)).\nAnswer: 1421100*v**4 - 230*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y + 4*y - 49. Suppose 3*n + 2*r - 24 = 0, -16*r - 43 = -5*n + 171. Calculate the remainder when y is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -37236 - -37196 - (0 - 1 - (-9 - 0)) - 16\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 310994709?\nAnswer: 3, 163, 635981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 531359547.\nAnswer: 3, 23, 29, 265547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**2 - 102*x + 305. Let g be c(3). Solve 12 = -2*a - 2*o, -4*o = a - o + g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 6:12 PM?\nAnswer: 449","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(288) - sqrt(288))**2 + sqrt(2) + sqrt(2) - (sqrt(32) + 5)**2) + ((3*sqrt(162)*-1)**2 - (5 + sqrt(162) + 0 + sqrt(162))))*-4.\nAnswer: -10192 + 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - h**2 - 381*h + h**4 + 189*h + 253*h to the form n*h**4 + i + d*h + p*h**3 + c*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 9*n**2 + 2*n - 3. Let r(b) = 46*b**2 + 10*b - 16. Let f(u) = 11*m(u) - 2*r(u). Let y(k) = 15*k - 88. Let l be y(6). Determine f(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.65555 rounded to 3 decimal places?\nAnswer: -2.656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 159 + -228. Let y = 71 + v. Solve -y = 2*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {s: 2, z: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -464*f**5 - 32404*f**4\/3 - 57730*f**3 - 59882*f**2 - 38428*f\/3 - 320 = 0. Calculate f.\nAnswer: -16, -6, -1, -1\/4, -5\/174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 50, 0, -7.\nAnswer: -7, 0, 11, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (0 - (2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the third derivative of 0 - 17\/24*d**4 - 1\/3*d**3 - 1\/15*d**5 + 0*d - 29*d**2. Find the second derivative of y(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -2*h**2 + 7*h + 0*h**3 - 2*h**3 - 7*h. What is the smallest common multiple of (14\/5)\/((-2)\/(-10)) and l(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**5 - 5*z**3 - z**2 + 4. Let v be (4\/6)\/(2\/(-6)). Let i(t) = -t**4 + t**3 + t**2 + t - 1. Let x(d) = v*y(d) - 6*i(d). Factor x(c).\nAnswer: 2*(c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -24*p + 208 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of k**8\/4480 + k**7\/168 + k**6\/40 - 9*k**5\/10 - k**4\/4 - 88*k**2. Let q(z) be the second derivative of j(z). Factor q(t).\nAnswer: 3*(t - 2)*(t + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, i: 4, v: 3}. Give prob of sequence vv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -55522 - 33?\nAnswer: -55555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6659353 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32 - -48. Let g = v - 12. Let o(i) = g*i - 12 + 12. Let l(y) = y. Determine o(l(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000047 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qjjqjti. Give prob of picking 1 i and 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2 - 42\/15)*-5. Let x be -1*(m + -1) + 6. Suppose 0 = -5*c + 2*w + 107, -8 - 4 = -x*w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.7 - 1.1. Let n = 0.5 + c. Does n = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4 + 3 + 0 - -2. Suppose -5*o - 2*m = -101 - 36, u = m. Is (-1)\/(-2) + o\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2 + 184522650*x + 8512152090755625.\nAnswer: (x + 92261325)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 122 or 106?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 529324 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 45 and 3795?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13771592?\nAnswer: 2, 1721449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -3, 2*d = -4*r - 0*d + 430. Let a = -105 + r. Suppose g = a*g - 12. What is the lowest common multiple of g and 286?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3826481\/162 - 23620. What is the common denominator of 131\/36 and t?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 522 - 543c5?\nAnswer: -53ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7789.\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 67*s**2 + 462*s - 3. Let w be n(-7). Solve -54 + w = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 17*l - 24. Suppose c + l*c = -0*c. Let g(p) = -p**2 - p - 4. Determine g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/3761?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -223, -233, -243?\n\"Answer: -10*s - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 8) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -45677\/228335 + 2\/45667. Suppose v + 12 = -3*z, 5*v - 20 = 2*v + 5*z. What is the closest to 4 in 5, q, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 6\/1951 (b) -1\/9 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -24 + 6. Suppose -7*s + 5*s = -d. Suppose -6 = -5*g + 2*g. Solve -4*z = -g*z + 2*u + 6, -3*z + 5*u = s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*o - 54*o - 44*o - 5 - 69 + 154*o.\nAnswer: 5*o - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4*(1620\/8)\/5. Let u = w + 237. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 3*a**2 + 5. Let k be m(0). Suppose -2*r + 15 = x, x - 13 = -k*r + 17. Suppose -i + 144 = r*c, 103 = 4*c - i - 5. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 + 11*j**2 + 12*j + 3. Let u be c(12). Let f(o) be the first derivative of 0*o - 2\/21*o**u + 2 - 1\/7*o**2. Factor f(z).\nAnswer: -2*z*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 1 - 259*b + 130*b - 7 - 3 + 134*b.\nAnswer: 5*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 187 divide 779411305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(1\/1)*4\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7656965314 to the nearest integer?\nAnswer: 87504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 - -1. Let m be (1 - q)*(-4 - -3). Suppose -4*p + 87 = -5*g, m*p + g + 91 = 4*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - 1)\/(6\/27). Let a = c - -65. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -621, -1241, -1861, -2481, -3101, -3721?\n\"Answer: -620*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r - r + 4*r - 2*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - o)*(4 - 1 + 1)*(2 - 6 + 3)*((-1 - 1 + 0)*(8 + 6 - 5) - 2 - 4 + 5).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(3 + 6*(sqrt(605) + 2*sqrt(605))).\nAnswer: -396*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -19*d - d**2 + 3*d + 57 + 2*d**2 - 42. Let i be o(13). Is i at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -262, -254, -240, -220, -194, -162, -124?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 3*m - 2. Suppose m*y - 4*y = -104. Suppose -4*l - 2*a + 24 = -28, 4*a = 5*l - y. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8305901 millennia to centuries.\nAnswer: 8.305901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19582 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 1 (b) 2\/5 (c) -2\/15 (d) 0.399 (e) 3\/7 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 + 7*x + 5. Let q be y(-7). Suppose 2*g - 1 = q. Solve g*s + 5 + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 + 4*t. Let f(k) = 4*k**3 - 11*k + 1. Let s(m) = 11*c(m) + 4*f(m). Differentiate s(u) wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33192?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 181001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.6589 + 1.63. What is g rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 19*r**2 + 11*r + 19*r**2 - 33*r**2. Let v(w) = -w**2 - 2*w. Calculate -22*v(l) - 4*y(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*t**3 - 19922*t - 20028*t + 59986*t - 20036*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32 + 32. Suppose -6*p + 2*p + 12 = 2*f, 16 = 2*p - 4*f. Sort v, 2, p in decreasing order.\nAnswer: p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 913167*m*p**6 + 3*m*p**2 - m*p - 481*p**2 - 19 wrt p?\nAnswer: 109580040*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 16 = 4*v - 3*u, -4*v - 4*u + 16 = 0. Suppose -5*s + 19 = v. Let z be (s + -1)*(-9)\/(-2). Solve -3*m + 4*k - 21 = 0, 5*m = -2*k - z - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1710, -3418, -5124, -6828?\n\"Answer: d**2 - 1711*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5424*l + 5397*l + 5428*l - 16197*l.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7617734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 4*x. Suppose 30 = 8*c - 5*c. Suppose -7*b + c*b - 42 = x. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/5825 greater than 4607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169342 is divided by 875?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5468905 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 368 + -368. Let w(y) = y**2 + 26. What is w(k)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 307 + -318. Which is the fourth smallest value? (a) -0.2 (b) 1\/3 (c) -0.3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197438 divided by 1?\nAnswer: 197438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 3, a: 4, e: 3, m: 3, r: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f. Let c(h) = 37214287*h**2. Give c(j(q)).\nAnswer: 148857148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is f4cb + -124?\nAnswer: f3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - 13*p = 6*p - 3389790000. What is p rounded to the nearest one million?\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -3*v**7\/140 - v**6\/12 - v**3\/2 - 17*v**2. Let l(w) be the first derivative of y(w). Find the third derivative of l(g) wrt g.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -2 - 2*o + 1 - 3*o**2 + 4*o. Let m be l(1). Is -2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 + t - 303. Let h be c(0). Let m be ((-8)\/(-4) + -4)*h. Suppose -4*r + m = 3*a, 2*r - 312 = a + 2*a. Round r to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 6 + 5 + 2*g - 4 - 1. Let f be n(-5). Let u be 1 + -1 + (-4)\/(-6). Which is the closest to 0.1? (a) f (b) -2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 304 + 4?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.047 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes before 2:56 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 26921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 26097617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4956)\/1770 + 12\/(-10). Let p = 6.88 - 0.78. Let d = 1.1 - p. Which is the closest to 1\/3? (a) t (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11870 greater than -11870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -4*w**3 + 6360*w**2 + 200268*w + 1193056 = 0.\nAnswer: -23, -8, 1621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 92 + 44 = 0. Let t = -11 - 53. Let m = g - t. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes after 1:41 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -3 + 4 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 656196 and 1332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - -2. Let q be (-22 + (-5 - 0))*(0 - 1). Let s(v) = -5*v + 19*v**2 + 21*v**2 + 0*v - 4 + q*v**2 - 69*v**2. Give s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 8 - 18 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-63)\/12 - -5) + 162\/8. Solve -2*t = 2*t - a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 113, 1, -3, -22, -7, 5.\nAnswer: -22, -7, -5, -3, 1, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 2*w = -13, 0 = 3*x + 2*w - 3*w - 16. Solve 5*y - x = 5*t, 0 = -2*t + y - 4*y + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*j**4 + 136*j**3 + 52663 with respect to j.\nAnswer: 20*j**3 + 408*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 216561?\nAnswer: 3, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36*b - 89*b - 24*b to the form g + h*b and give h.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = -3*j + 244. Suppose -2*r + 28 = 4*p, 5*r + 38 = 4*p - 2*p. Suppose j = p*d - d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18*y**3 + 7*y**3 + y + 31*y**3 + 33*y**3 as n*y + q + g*y**3 + x*y**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -22032210 (base 5) to base 8\nAnswer: -562360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/93 (b) -53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 18*h**2 + 269*h - 11. Calculate x(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -39 + 2*h + 39. Let j(w) be the second derivative of w**4\/12 + 5*w**3\/6 - 2*w**2 + 2*w. Let l be j(-6). Calculate q(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 204110357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1810 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -56 - -58. Suppose -2*v = 4*p - 56, -v + 0 = -m. Solve -3*s = 3*b - 2*b - 18, -5*s + 4*b = -p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*d - 4*d**2 - 6418 + 2*d + 6416)*(4 - 4 + d).\nAnswer: -4*d**3 + 10*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 990049147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 16*x - 21. Suppose 2*f = 1 + 9. Let a(i) = -i - 1. Let v(k) = -8*k - 1. Let q(s) = f*a(s) - v(s). Calculate -2*g(l) + 11*q(l).\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*z - 34. Solve -2*d = 2*d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 - t + 1. Let p be r(2). Suppose -2*d = a, d = p*a + a + 18. What is the highest common factor of 4 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, v: 2, a: 6, n: 1, q: 2}. What is prob of picking 3 a?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 + 4 - (-2 - 1). Let n(a) = -15*a**3 - a**2 + 2*a + 2. Let y be n(-1). Suppose h - y = -5. Is g at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 528*i**4 - 4*i**3 + 556*i + 4. Let n(f) = -527*f**4 + 5*f**3 - 557*f - 5. Let g(j) = -4*n(j) - 5*x(j). What is the second derivative of g(y) wrt y?\nAnswer: -6384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2420 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 + 10*r**2 - r + 13. Let g be s(10). Suppose 4*o - g*o - 5 = 0. Suppose -o*h + 23 = -3*j, -29 - 5 = 5*j - 4*h. Sort 5, 1, j in decreasing order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 304127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -311*c = -364*c + 1325 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 288221, 289230, 290239, 291248, 292257, 293266?\nAnswer: 294275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m - 4. Suppose -5*i = -6*i + 9. Let a(f) = 3*f + 9. Let x(l) = i*q(l) + 4*a(l). Let p(n) = n**2. Give x(p(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 2642241?\nAnswer: 5284482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -174, -177, -184, -195, -210, -229?\n\"Answer: -2*v**2 + 3*v - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 268450 divided by -14\nAnswer: -19175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2234*q - 181. Let l(g) = 1117*g - 99. Give 6*a(p) - 11*l(p).\nAnswer: 1117*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6, 5, 6, 9, 14?\n\"Answer: g**2 - 4*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 13003*v**4 - 110*v**2 - 10*v + 4. Let o(d) = -19504*d**4 + 166*d**2 + 16*d - 6. Let m(y) = -8*j(y) - 5*o(y). Find the third derivative of m(l) wrt l.\nAnswer: -156096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 772 = -0*m. Suppose 3*g = 2*z - 807, 5*g + 1270 = 5*z - 75. Let x = g + m. Calculate the remainder when x is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t + 76. Let j be r(-25). Is j not equal to -2\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1952620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3\/5, -3, 2, 4\/9, -55, -8.6?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 229197424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/(-4))\/((-1)\/12). Let v = -12 + g. Let q = 10 - v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(0 + sqrt(325)) + -4)**2 - ((sqrt(650) - (sqrt(650) - -1*sqrt(650))) + sqrt(650))\/(sqrt(8)\/sqrt(4)*6).\nAnswer: 200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of -d**2\/2 + 2*d - 4. Let w be y(-1). Suppose 0 = 4*x - 2*x + 6. Sort x, w, -11 in decreasing order.\nAnswer: w, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 16 = m, 3*m + 2*m - b + 38 = 0. Let y = m - -7. Suppose y = 3*o - 37 - 26. Calculate the remainder when 60 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -5, -1318, 1349, 3 in increasing order.\nAnswer: -1318, -5, -0.4, 3, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -10*u + 11*u + 49, 0 = -2*y - 2*u - 18. Let v be y\/(-6)*(182\/35 + -4). Solve -j - v*j = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -4) + 2 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**2 - 4*r. Let y be b(5). Let a = y - 4. Is a\/(-1)*77\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1328063.\nAnswer: 11, 157, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r - r - 66*r**3.\nAnswer: -66*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-8)\/(-6) - 2\/(-3). Factor 0*j**4 - 2\/5*j**3 + 2\/5*j**5 + 0*j**b + 0*j + 0.\nAnswer: 2*j**3*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(-5)*5\/(-1). Suppose -c = -48 - 15. Calculate the greatest common factor of c and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = s + 5*l, -2*l - 6 = 2*s - 0*s. What is the third derivative of -2*r**2 - 5*r**2 - 7*r**2 + 0*r**s - 3*r**3 wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of q**5\/30 + q**4\/6 + q**3\/6 - 2*q**2. Let j(v) be the first derivative of b(v). What is the first derivative of j(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 862837?\nAnswer: 29, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -249, -798, -1653, -2814, -4281?\nAnswer: -6054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29 - 26. Let l = 7 - -3. Let z = l - 13. What is the biggest value in b, 2\/3, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 6\/11, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-2\/51)*j*j*j*j*j**(-4\/5)*j)\/((j*j**2*j*j)\/j)**(-29\/4) assuming j is positive.\nAnswer: j**(8711\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -56007.0431 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j = -23 + 71. Sort 1, 10, j.\nAnswer: 1, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 414 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -169 * 3.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -24561.4 > -7\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -86 - -105. Let t = l + -19. What is the closest to t in -10, 0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 33*n**2*w + 4*n**2 - 3*n*w + 6428*w wrt n.\nAnswer: 66*n*w + 8*n - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -266541 (base 14) to base 2\nAnswer: -101000011001001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 2617 divide 107424708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 4 + (4 + -21 + -9 - -11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -60 - -33. Let y = 30 + l. Which is the second biggest value? (a) y (b) -4 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 46, 5, 4, 0.\nAnswer: 0, 1, 4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 12442, -1, 0, -0.02, 4, -3\/7.\nAnswer: -1, -3\/7, -0.02, 0, 4, 12442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, g: 1, c: 2, r: 1}. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (2 - (8 + -5)) + (-3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 414 and 12332094.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * -14\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/7 or 222?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -596.0412 + 596. Let g = -3.0482 - i. Round g to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.27909 - -3.65381. Let v = c - 3.88. What is v rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (402\/(-3015))\/((-1)\/280). Which is greater: l or 37?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 + 86699*p + 1126910. Give v(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -2*k + 2331, 0 = -k - 3*k + t + 4671. Suppose -k = -7*n - n. What is the remainder when n is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1420 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -585550 or -585545?\nAnswer: -585550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3.92975 minus 0.433?\nAnswer: 3.49675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.6 - -0.7. Let o = 1.4 - 4.4. Which is the closest to d? (a) -0.5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/6 - 3\/(-6)*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2611 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {i: 6, o: 1, j: 9, v: 2, x: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/24*16\/6. Let c = 57\/7 + -299\/35. What is the nearest to 1 in b, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 4 = 24. What is the second biggest value in -2, 0.5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the first derivative of -s**3\/3 + 12*s**2 + 7*s + 14. What are the prime factors of o(20)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3168\/50688)\/(2\/(-928))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2473063 + 9781.46?\nAnswer: -2463281.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*v**2 - 263316 + 263316 + 268*v**3 to the form p + l*v**2 + i*v**3 + k*v and give i.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1\/2774?\nAnswer: -1\/2774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w + 31. Let o be z(14). What is the remainder when o\/(1\/(-2) - (-6)\/4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1516.673 to zero dps.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/8*4\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 3:25 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-28))\/((-4)\/(-16)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (61\/5002*-41)\/(292\/(-16)*2).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2454 + 2465. Solve h*u + 198 = 209 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29572868 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -14660?\nAnswer: -14655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 381 + -379. Suppose 54 = 4*f + a*x, -f - x - 21 = -3*f. What is the remainder when 152 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-258)*-4*-10*1\/(-10)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2811719\/10 - 281172. Let b = -3 + 2.98. Let l = 0.38 - b. What is the fourth smallest value in 1, l, i, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 33c1a5 (base 14) to base 12\nAnswer: 70b805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -36, -113, -234, -393, -584?\n\"Answer: l**3 - 28*l**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 368797758.\nAnswer: 2, 3, 7, 2591, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1811\/2090 + 18\/(-45) - 6\/11 and 37\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4 = -0*o. Suppose -4*i + 3*i = u - 145, -o*u = i - 130. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 5*o + 18, 5*i + 2*o - 18 = 3*o. Sort -4, 2, 5, i in increasing order.\nAnswer: -4, 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.07 - 6.93. Let a = -0.02 - -5.02. Let b = c + a. Which is greater: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/(-3 + (-8)\/(-4)). Is c equal to -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 5*u**2 - 181*u + 1380. Determine g(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 184*f**2 - 2*f - 1. Suppose 0 = -3*y - 0*y + 2*m - 11, 4*m - 20 = 4*y. Is d(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-825588\nAnswer: -412794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i = 99*i - 618 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by 48.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(2\/61))\/u**2 assuming u is positive.\nAnswer: u**(-59\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4857 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20.5 + -38.2. What is i rounded to 0 decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -5*f - 23. Let b be t(-7). Let q = b + -1. Let n = q + 13. What is the remainder when n is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(5) + sqrt(15)\/sqrt(3)*-5))**2 - ((sqrt(20))**2*2 + -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 3*l + 5 = -o, -5*l = -4*o + 16. Is -165*((-4)\/(-3))\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i + 5 = 3*o + 14, -4*o = 2*i + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 28*s + 127*s - 54*s + 97*s as q*s + t and give q.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 35*c**4*p + 4*c**3 - 2*c**2*p + 2526*p wrt c?\nAnswer: 140*c**3*p + 12*c**2 - 4*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, -5, 10070 in descending order.\nAnswer: 10070, 29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6 - -4) + 18 + -1. Suppose -4*f + 3*d = -20, -4*d = -3*f - 5*d + 2. Let q be (-2)\/f - (0 + -5). Solve q*c = -c - n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -213 = -n - 2*p, 5*p = -n + 123 + 81. What is the remainder when n is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -4 + 2*d**2 - 7*d + 4 - 5*d + 8*d + 8. Let g be 40\/7 - 2\/(-7). Let f(q) = -1. Let m(u) = g*f(u) + i(u). Factor m(p).\nAnswer: 2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 47*q. Let a(y) = 8*y**2. Determine r(a(v)).\nAnswer: 376*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1001100 - 2?\nAnswer: 1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -35 (c) 3 (d) -12 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 262, 3, -4 in decreasing order.\nAnswer: 262, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*j**2*l**2*s**3 + 719*j**2*l**2*s**2 - 2*j**2*l*s - 529*j*l*s**3 - 39*j*l*s + 2*j*s**3 - 2*s**2 wrt l.\nAnswer: 8*j**2*s**3 + 1438*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -5*m**4 - 5*m**3 + 20*m**2 + 15*m - 15. Let k = -459 + 458. Let t(u) = -u**3 - u. Let s(y) = k*j(y) - 5*t(y). Factor s(c).\nAnswer: 5*(c - 1)**2*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 - -22. Let n = y + -4. Is 6\/13 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 614\/7 - 87. What is the common denominator of a and 55\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of r**5\/60 - r**4\/24 + r**3\/6 + 4*r**2. Let m(t) = 3*t**2 + 7 + 18*t - t + 1. Let b(y) = m(y) + 2*o(y). Factor b(p).\nAnswer: 5*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.61 - -1.62. Let r(i) = -i**3 - 18*i**2 + i + 19. Let z be r(-18). Which is the nearest to t? (a) z (b) 1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*d + 16 = 1. List the prime factors of 1696\/(-20)*(-1*6 + d).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 26 + 10 = 0. Suppose k*b + 0 = 8. Let f be -1 + b\/(-2) - 144\/(-81). What is the smallest value in 5, -1\/4, -3\/5, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -4 + -4 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1440 = -54*f + 6*f, -530*v + 528*v = 4*f + 116 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 1:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 + 9. Suppose 5*x + 25 - 5 = v. Let k(b) = -9*b**3 - b**2 - b - 1. Is k(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 11*b - 65. Determine k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 3*y + y + 40 = 0, 3*y = o - 3. Let x(k) = -3*k + 4*k - 2*k + 15. What is the units digit of x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 141831, 283402, 424973, 566544, 708115, 849686?\nAnswer: 991257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*t + 28 = -60*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -1) + 6 + (1 - -3) + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 224 * -7.00698.\nAnswer: -1569.56352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 30 = 5. Solve c*f + 1 = -4, -4*q = -f + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to 102327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 105 = 2*g. Let f be 4\/(12\/g) - -2. Let r = -4 + 6. Sort f, 3, r.\nAnswer: f, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-8)*(-6 + (-28)\/(-5)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 25*-1*240\/(-200)*(-22)\/(-22)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-7*(-10)\/231*1377\/(-765)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1626.948 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 141 - 139. Let d = 4.6 - -0.4. Suppose 0 = 4*f + 1 - 5. What is the nearest to f in d, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 7 (b) 5 (c) -11.2 (d) 0.2 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dddwvdwdddvwdddr. Give prob of sequence wvv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*f + 34*f**2 + 11 + 5*f + 7*f + 2 - 13.\nAnswer: 34*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) 15 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + 0 + 1\/1. What is the nearest to 0 in 0, j, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 + 34 = 5*k. Suppose -k - 75 = 2*j. Let r = j + 73. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-50)\/(-4)*-2*4780\/(-23900)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 - 50*k. Calculate u(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-132)\/(-18) - 9)\/(1*3 + (-2323)\/909)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 415 = 8*r - 3*r. Round r to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 55 and 16475569?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 414*d**2 - 2026*d**2 - 12 + 12 to x + f*d + v*d**2 and give v.\nAnswer: -1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + (8 - (3 - 3) - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - -1400342?\nAnswer: 1400334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 80 = 2*z, 11*u + 468*z = 473*z - 230 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1186 - -7785. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 - 4*c**2 - 2*c - 11. Calculate the least common multiple of h(5) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 4, 583 in ascending order.\nAnswer: -3, 4, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 AM and 2:28 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -2b87?\nAnswer: 2b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 180824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 102. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of i**6\/15 + i**5\/15 - 7*i**2. Find the third derivative of z(h) wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 6*s - s - 33, 19 = 5*s - 3*m. Suppose 6*a - 221 = -5*k + 2*a, 0 = 4*k + s*a - 175. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 + 5. What is the second smallest value in -5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4312079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 65*a + 2. Let w(h) = 3. Let p(c) = 5. Let b(q) = -4*p(q) + 7*w(q). Let j(o) = -5*b(o) + u(o). Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of u**5\/20 - u**2. Let p be (1 - -25) + 8\/(-4)*1. Let t(f) = -7*f**2 - 23*f**2 + p*f**2. What is i(t(x))?\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 73 - -41. What is the tens digit of 22788\/j + (72\/(-38) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 395041 + -9.18.\nAnswer: 395031.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*h + 9924*h**2 - 9992*h**2 - 13*h - 6*h.\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 12 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 8*m**3 + 130*m**2 + 23*m - 37. Calculate a(-16).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of 0 + 1\/36*q**4 + 3\/2*q**2 + 50*q + 1\/3*q**3. Factor l(z).\nAnswer: (z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2 + -2)\/(-1))\/(71\/7526). Let u = 438 - w. What is the smallest common multiple of u and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**1\/y)**(-22)\/((((y\/(y**4\/y*y))\/y)\/y)\/(y*y**(-1\/4)*y))*(y**0)**(-39)\/((y*y**(-6))\/(y\/(y\/y**(2\/3)))) assuming y is positive.\nAnswer: y**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 1020*d. Let x(g) = -4*g. What is k(x(o))?\nAnswer: -4080*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5 or 5694?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 212183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -581010 by -1615.\nAnswer: 116202\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*q - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 265856511 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: Suppose 2*a = a + 3. Suppose -2*r + 8 = -2. Suppose 0*w + 50 = r*w. Solve 2*y = m - y + w, -m = a*y - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 326901 is divided by 629?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -152846 - -6?\nAnswer: -152840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**0)**(-2\/7))**(-7) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1 * 276171\nAnswer: 276171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -i**6\/120 + i**5\/6 + 19*i**4\/24 - 13*i**3\/6 - 34*i**2. Is 17 a factor of h(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208 less than or equal to 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 6*o + 340 = 0. Let n = -64 - o. Suppose 24 = 4*y + 2*v, -3*y + 4*v = -y - 12. What is the greatest common divisor of n and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 45990 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 39173, 78356, 117539, 156722, 195905?\nAnswer: 235088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2213875000 rounded to the nearest 1000000?\nAnswer: 2214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -301243 (base 10) to base 12.\nAnswer: -1263b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000214843 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 - 6*r**2 + 6*r - 1. Let b be j(4). Let q = -2 - b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1\/(-1))\/(2\/8). Suppose -3*g = -16 + 4. Let d = g + w. Solve d = -h - 0 + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 plus -0.0576960264?\nAnswer: -0.0576960264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 2 = 2*m. Let s be m\/1*1 - -1. Let i = -6 + 3. What is the closest to s in 0.1, -3\/4, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 3*i - 9*i. Suppose -2*y - y + h + 34 = 0, y - 8 = -i*h. Suppose 5*j = -4 - y, -3*p - 3 = -j. Which is the closest to 3? (a) 4 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18246 is divided by 2080?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 380303503 divided by -1?\nAnswer: -380303503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 3*t = 3444, 0 = -2*i - 4*t + 1475 + 247. Does 48 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/36 - ((-76)\/42)\/2. Let w = -2.06 - -0.06. What is the second biggest value in 2\/5, k, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 e when four letters picked without replacement from {u: 1, e: 5, t: 3, g: 1, z: 2, v: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 189104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/(-12)*21\/(-168)*-32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*t + 20, -3*i + 3*t = -2*t + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -67271 divided by 1882?\nAnswer: -67271\/1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 6:33 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q**2 - 7*q + 6. Determine s(-11).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(-1)\/n)\/n*n*n)\/n)**38*(n\/(n**(1\/2)*n*n))\/n**(2\/3)*((n*n\/(n*n\/(n\/(n*n**(-2\/9))*n*n)*n))\/n**(1\/4))**0 assuming n is positive.\nAnswer: n**(-469\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 + a3aa?\nAnswer: a3ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -4*h**3 + h**2 - 1. Let t be k(-1). Suppose -3*f + 0*w - t = -2*w, f - 12 = -2*w. Let r be (-18)\/(-105) + (-9)\/(-21). Is r less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h - 2*c = 55, 5*h + 4*c + 144 = -3*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 274085 times 214\nAnswer: 58654190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by -1092.\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + -4)*-1 - (sqrt(108)\/sqrt(9))**2.\nAnswer: -8 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 23 - 2*h**2 + 41.\nAnswer: -2*h**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 264 and 32868.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.8709 + -4.2709. Which is the nearest to -1? (a) 4.7 (b) q (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16*(-2)\/120*(-15)\/20*(-1)\/(-3)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7870 - 196804\/25. Let d(n) = n**3 + 7*n**2 + 10*n - 3. Let i be d(-5). Are b and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10186450, -10186448, -10186446, -10186444?\nAnswer: -10186442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -41.64 + 45. Let s = 3.360000349 - n. What is s rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 788385497 to the power of 1\/2, to the nearest integer?\nAnswer: 28078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-72)\/42*27*(-210)\/540?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11210 + -231311?\nAnswer: -303121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*b + 1179 = 315*b - 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -133 - 13 - (723 - 805)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 - 2*k**2 - k - 6. Let x be j(3). Let m be -3*(-11)\/(-11) + 11. Solve m = 3*y - 0*o + 4*o, -3*y - 5*o + 10 = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, -0.017, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z**2 - 2893*z - 1527*z + 2631*z.\nAnswer: 2*z**2 - 1789*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49770.\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 544553068 a multiple of 2268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 72772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1\/2 (c) -519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 2*g - 310 = -330, 5*v = 5*g - 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**3 - 8*p**2 + 3*p + 2. Let o be k(5). Suppose 0 = -3*l + 56 + o. Calculate the remainder when l is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2876 by -20.\nAnswer: 719\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19\/28 - -167\/84. Let 0*v + 2*v**4 + 0 + 0*v**3 - 2\/3*v**5 - k*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of s**4\/4 - s**3\/2 - 3*s**2\/2 + 167*s. Calculate u(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1485 - -1485. Solve m = -4*q - 4 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1\/161 - -479\/644. Find x, given that 15\/4*x + 3\/2 + 3*x**2 + z*x**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = 55*w - 58*w + 8, 3*w + 2 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 80*p + 13*p**2 + 99*p**3 - 79*p - 8*p**3 wrt p?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 38 - 33. Suppose -h*f = -8*f + 6. Suppose 0 = 2*m - 4*l - l - 69, 5*l - 59 = -f*m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-1*(-12)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -3*b - 4*l, -b - l - 7 = -5*b. Find the third derivative of -11*a**2 + 5*a**5 - 3*a**5 + 9*a**b wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5186\/377, 1\/8, -3?\nAnswer: 5186\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2994)\/4*80\/(-19143). Let q = 775\/16 + -549667\/11344. Let m = d + q. What is the common denominator of -75\/2 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p - 11*p = 0. Let d(m) be the second derivative of 1\/36*m**4 + 0*m**5 - 1\/90*m**6 - 2*m - 1\/252*m**7 + p + 0*m**2 + 1\/36*m**3. Factor d(s).\nAnswer: -s*(s - 1)*(s + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = h + 6. Suppose -h*b + 4 = 10. Sort b, 3, -5.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(((-9)\/(-27))\/(2\/2)). Which is smaller: x or 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4190 - 50141\/12. Find the common denominator of n and -53\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2 and 5052.\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the third derivative of -o**8\/84 + o**6\/15 - o**4\/6 - 8*o**2. Factor v(u).\nAnswer: -4*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4531 = -5*w + 4521, 2*m + 22 = -3*w + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 16 = -2*q. Let m be (-7)\/28 + 1\/4. Suppose m = -5*s + 2*v + 40, 3*s + 2*v - 10 = -2. Calculate the remainder when s is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5648 and 11851.\nAnswer: 66934448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 6, m: 7, l: 6}. Give prob of sequence mml.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 20 = 0, -5*z = -5*n - 10 - 15. Suppose 14*b - 5*b = 0. Factor 0*d**2 - 2\/7*d**3 + z + b*d + 2\/7*d**4.\nAnswer: 2*d**3*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in -5*m**3 + 294005*m**2 - 4322094000*m + 4321800000 = 0?\nAnswer: 1, 29400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of -a**5\/20 - a**3\/6 + 39*a**2\/2 + 95*a. Determine d(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 63*c - 5363. Calculate f(85).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - (18 - 21) - 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -38, -89, -140?\n\"Answer: -51*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*h + 32*h - 120*h + 55*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y**2 - 43*y - 626. Let j be v(-10). Let w(u) = -4*u**2 + u + 1. Let x be w(-1). Sort j, 3, x in increasing order.\nAnswer: x, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 85*s + 6. Let l be f(2). Suppose 3*p - l = -p. What is the first derivative of i**3 + 17 + 44*i - p*i wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -0*l + 5*l - a, 0 = 2*l + 3*a + 22. What is the remainder when 133 + (l - -9)\/(-4) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1053)*2 + 5)*-6)**2.\nAnswer: 6480*sqrt(13) + 152532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 98 - 84. Calculate the remainder when 96 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i - 15. Let k be p(17). Let w be (k\/3)\/((-2)\/(-3)). Let o be 15\/(w + -6) + 10. What is the greatest common factor of 77 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**3\/5 + 534*b**2\/5 + 2487*b\/5 - 18684\/5.\nAnswer: 3*(b - 4)*(b + 9)*(b + 173)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2579257.\nAnswer: 17, 173, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 350 - 1063\/3. Let l be ((-130)\/78)\/((-1)\/(-3)). Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1.32 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 180*g**5 + 8964*g**4 + 23932*g**3 + 11372*g**2 - 4528*g - 752 = 0. What is g?\nAnswer: -47, -2, -1, -2\/15, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from ieeeeeeeeezee.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 205 - 129. Let p = m - 70. Let h(a) = 4 - 1 - 8*a + a**2 + 6. Determine h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9056 is divided by 144?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 - 49 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 34 - 34 + 15*d. Let c(h) = 2*h. What is l(c(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 + -6)\/(1 - 2). Is 3020\/(-15)*(-6)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/3 and 10\/2277.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 110064 (base 14) to base 4\nAnswer: 2030231020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3741*a**2*o*s + 17*a**2 + 13*a*o - 1285*a + o*s wrt a?\nAnswer: 7482*o*s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 8\/7, 2\/3, 978?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 10 = g. Let m = 3 + g. Let p be 5\/((-3)\/3 - m). Solve 0*k - 2*k = y + 11, 5*y - 5 = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2247\/106 - 1044\/53. Let q(k) be the first derivative of -6*k + 2*k**3 - 31 + 3\/4*k**4 - i*k**2. Factor q(f).\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 217 divided by 2217262?\nAnswer: 217\/2217262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 15 = -2*c, -9*v + 10*v + 5*c - 26 - 5 = 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -3*y**3 + 6*y**2 - 11*y - 77. Let r be b(-5). Is 503 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 4*b + 16 = 0, 3*u = -0*b - b + 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q**3 - 10*q**2 - 5*q + 4. Calculate m(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -t - 2*t - t + (0*t + 0*t - 2*t)*(3 - 4 + 2).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 44126\/3 + -25901929\/1761. Is -1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 122 or 193?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1807 + 1107 = -26*q - 1220 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 442193060 divided by 5\nAnswer: 88438612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-113 - 98 - 3)*(3 + 2 - 6)*(-2*f - 3 - 3 + 9) in the form y + p*f and give p.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.025646 times -0.01?\nAnswer: -0.00025646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 259634*p**2\/17 - 2077028*p\/17 - 352\/17 = 0.\nAnswer: -22\/129817, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 432544 (base 7) to base 11\nAnswer: 51710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 16.953 and 4252 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 725 - 143*n + 35*n - 226*n + 47*n.\nAnswer: -287*n + 725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1816\/15 - 359\/3. What is the biggest value in 3, 1, 2\/3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - j**2)*(3 + 4 - 5 + (-2 - 4 + 5)*(2 - 4 + 1) + (2 + 0 - 1)*(2 - 3 + 5)) to a*j**2 + t + s*j and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*g + 3*g + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4431663320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*f**2 + 2727*f**3 - 1 - 3*f**2 + 2 - 7*f**2.\nAnswer: 2727*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3730, -3732, -3734, -3736, -3738?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6238871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -268374351 or -268374352?\nAnswer: -268374351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -166*j - 41*j + 2926 - 1063 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 11283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3385 - -3424. Calculate the greatest common divisor of 416 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 194\/(-280) + 30\/40. Let v(j) be the first derivative of -2\/7*j**4 - 4\/7*j**3 - 4\/7*j**2 - 4 - 2\/7*j - z*j**5. What is d in v(d) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(14\/7)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2*m. Let d(p) = -48905*p. Determine d(x(k)).\nAnswer: -97810*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3143258, -3143260, -3143262, -3143264, -3143266?\n\"Answer: -2*z - 3143256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -200310332 (base 4) to base 12\nAnswer: -65992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a**2 - 11*a + 43. Suppose -2*f = 6, 4*f - 14 = -3*v + 28. What are the prime factors of o(v)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41326 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 - -3 - 16\/(-4). Solve 3*r + 5 + l = -n, 2*r = n - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w + 3 - 3)*(-665 + 27*w**3 + 665).\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(171)*2 + sqrt(171)) + -1*2*sqrt(171))\/(-5*-2*sqrt(144))*-6)**2.\nAnswer: 49419\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 + 15. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -95*m + 91*m + 12. Let l(v) be the second derivative of 11*v + 1\/4*v**4 + 0 + 0*v**2 - 1\/10*v**5 - 1\/30*v**6 + 0*v**m. Suppose l(p) = 0. What is p?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37804546 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 518128 divided by -848?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 10*d**2 - 297*d + 3412. Give p(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 405 a factor of 1952192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 24526262.\nAnswer: 12263131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*p - 14*p. Suppose n - 74 + 18 = p. What is the tens digit of 2842\/n + (-1)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*v + 2 + 2 - 7)*(11*v - 2 + 31*v - 9*v) in the form t*v**2 + w*v + o and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70883092 divided by 14.\nAnswer: 5063078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -2501*b**2. Let j(v) = -15*v + 127. Give j(d(o)).\nAnswer: 37515*o**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 PM and 8:05 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -203 by 24.\nAnswer: -203\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**9*z**(-1\/4)\/z*(z**0)**(-3\/14) assuming z is positive.\nAnswer: z**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of -i**5\/30 - 29*i**2\/2 + 2*i + 120. Let y(m) be the second derivative of r(m). Let n(k) = -2*k + 4*k - 3*k. Calculate n(y(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - (-58 + 60)) + 3 + 15 + 100.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 311 (base 12) to base 6\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 849652\/99 or 8582?\nAnswer: 8582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 35 + -39 - (0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.3 + -2.44. Let m = -0.13999998 - j. What is m rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -65 + 45. Let j be ((-8)\/a)\/((-12)\/45). Let z = 2 + -2.3. What is the closest to -2 in j, z, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 2*d - 9 = 0, -1609*c - 17 = -1605*c + 3*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11339368 to the nearest integer?\nAnswer: 3367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 3*o - 38 - 1 - 2 - 1 - 19. Determine a(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1*2)\/(18\/45). Sort -2, f, 3 in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a**2 + 3578*a - 36070. Determine z(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 534 is divided by 108?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-440)\/15)\/(-11)*9\/(-3)*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/21)*m**11)**33\/((m\/(m\/(m**(-9)*m)))\/(m*m\/(m**(-3\/2)*m)*m)*(m**2)**(6\/23)) assuming m is positive.\nAnswer: m**(119409\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, n: 1, w: 1, y: 2}. Give prob of picking 1 w and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 5793455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -9*l**3 - 14*l**2 + 8*l + 49. Let c be o(-6). Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22657 + -90627\/4. Factor 1\/4*y + 0 - p*y**3 + 0*y**2.\nAnswer: -y*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -195*b - 2127. Calculate d(-10).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 40.11 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-116)\/(-16) + -5)*4 + 2376\/(-312)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 47\/40 - 31\/40. Put n, 0, -0.006 in descending order.\nAnswer: n, 0, -0.006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -0.4, 3, -1\/28907, -5?\nAnswer: -1\/28907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 90 (b) -2 (c) -0.01 (d) -6\/515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3835655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (17 - 11 - 2) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -6. Suppose p*l = 29 + 21. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 11:19 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-135)\/(-36)*7956\/(-765)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -524 + 524. Let v = 5.05 + -0.05. Which is the closest to d? (a) 1 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.3 - 0.1. Let s = 0.2 + f. Suppose 2 = -2*a - 2. What is the second smallest value in -4, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 71*o**2 + 34*o**2 + 38*o**2.\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-72)\/54)\/(-235*(-26)\/(-195))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q = -2*q - 475. Let x = -41 + q. What is y in -18*y**2 + 24*y - 7*y + x*y**2 - 36*y**3 + 47*y + 16 = 0?\nAnswer: -2\/3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70298.\nAnswer: 2, 35149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/8, 0.1, -2\/159, 6, -5745 in increasing order.\nAnswer: -5745, -2\/159, 0.1, 5\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95 - 557 = 7*p. Let y = p - -147. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 8:24 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 543612 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*f - 60 = 5*f. Suppose -3*v + 9 = -f. Let j(n) = -85 - v*n + 85. Let s(h) = 2*h. Calculate s(j(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -2295, -122, 3, -87.\nAnswer: -2295, -122, -87, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000012281 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 16 + 2*m**2 + 15 - 3*m - 28. Suppose 4*y + 3 = 5*y. Is t(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-32)\/28 + (-114)\/(-133). Let h = -4\/19 + 13\/152. What is the closest to 0.2 in h, -1, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 46\/56 - (-49)\/((-23520)\/600).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2122200020 (base 3) to base 10.\nAnswer: 52251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from grurr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10340\/141)\/22*(-27)\/3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 7*c = -2*c + 77400, -2*a + 4*c + 30970 = 0. What are the prime factors of a?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 24 + (-12672)\/276 + 22. Which is the nearest to o? (a) 6\/5 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -5*f + 725, 6*f = f + c + 707. Let y = -71 + f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -45454734 divided by -6\nAnswer: 7575789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 29647 = -17*o. What is the remainder when o is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -52*m**2 + 5*m - 16. What is q(2)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 4*t - 1364, -11*z + 8*z - 4108 = -4*t. Which is bigger: z or -1371?\nAnswer: -1371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3051 - 2622 = 13*i. Calculate the greatest common factor of i and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (429\/286)\/((105\/(-60) - -2)\/(2\/(-498))).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n**3\/3 - 8788*n**2\/3 - 378560*n\/3 + 792304\/3 = 0. What is n?\nAnswer: -2153, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.2 (c) -0.2 (d) -7201\/312 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5547209.\nAnswer: 23, 241183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-71)\/((-1)\/2 + (-14)\/(-20)). Let q = v + 601. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3\/(-2)*(-5 + (-65 - 4)) is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 99487 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**4\/10 + 3*v**3\/5 + 3*v**2\/10 - 2*v + 6\/5.\nAnswer: -(v - 6)*(v - 1)**2*(v + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 4) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/17, -0.2, 0.7, 107\/6, 18 in descending order.\nAnswer: 18, 107\/6, 0.7, 2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2\/59, 1\/4306 in ascending order.\nAnswer: 0, 1\/4306, 2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3140*v**2 + 9413*v**2 - 3142*v**2 - 3139*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 828533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 - 3*j - 6. Let d = 2 - 7. Let n(k) = -2*k**2 - 7*k - 12. Let f(y) = d*v(y) + 3*n(y). Let t be f(-5). Put t, 1\/6, -4 in decreasing order.\nAnswer: 1\/6, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42708 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-8\/7)\/(p*(((p\/((p*p**(-2)*p*p*p)\/p))\/p)\/p)\/p))**46)**(4\/3) assuming p is positive.\nAnswer: p**(368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 9*d - 3. List the prime factors of i(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - j + 2)*(6*j + 0*j + 2*j) + (3 - 2 - 3)*(2*j**2 + 0*j + 0*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -241*q - 322*q**2 + 167*q**2 - 2044 + 568 + 157*q**2 wrt q.\nAnswer: 4*q - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 429 divide 143715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of -n**7\/105 - 43*n**6\/60 - 7*n**5\/5 - 378*n**2. What is r in c(r) = 0?\nAnswer: -42, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18244701 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.025077557 rounded to four decimal places?\nAnswer: 0.0251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1908695776 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 4*b**3 - 2592*b**2 + 534480*b - 34047424 = 0.\nAnswer: 124, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -77395, -154789, -232183, -309577, -386971?\nAnswer: -464365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 999 - 239. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40929 or -47328?\nAnswer: -47328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**7*b*b\/(b\/((((b\/(b**(-2\/15)*b))\/b*b)\/b)\/b))*b)**(2\/67)\/(b\/b**(-2\/9)*b*b**(-5))**46 assuming b is positive.\nAnswer: b**(385892\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 AM and 6:25 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1335, -1564, -1935, -2448, -3103, -3900?\n\"Answer: -71*q**2 - 16*q - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/1857600 and -143\/38700.\nAnswer: 1857600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13100312101 + 3?\nAnswer: -13100312032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000012825021 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -15 (b) -0.1 (c) 0.4 (d) -1 (e) 1\/26 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nbsnmjh. Give prob of picking 1 h, 2 n, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1409582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 19255*w**3 - w**2 + 1. Let p be u(1). Suppose -2*v - 5*s = -12829, 3*v - p = 3*s + s. Let g = 14770 - v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12.3 + 12. Let r = z + 1.6. Let g = 1.3 - r. Which is bigger: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4273 + -4244. What is the remainder when v is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = 5*j - 4*g, -30 = 5*j - g + 3*g. Let f(l) = l**3 - 17*l**2 + 15*l + 5. Let h be f(16). Let q = j - h. Solve -q = -5*o - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -51.469868 to 2 dps.\nAnswer: -51.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -370 + 1. Let s = 369 + t. Factor -2\/7*b**2 - 6\/7*b + s.\nAnswer: -2*b*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 7*m**3 - 4*m**2 + 15*m + 25. Give v(3).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.3 + 17.3. Suppose 12*g + 82 - 46 = 0. What is the nearest to g in j, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5488\/13 - -264607\/624. Find the common denominator of 3 + -7 + (-10)\/(-8) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3776 = -655*i + 1217 - 13161 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 70*t + 12 - 12 as y + m*t and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2478809.\nAnswer: 2478809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h + 16*h = 80. Differentiate 10 + h - 37 - 28*m wrt m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6546 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/199972 and -113\/20.\nAnswer: 999860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -554 or 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**0\/(c**(-4\/9)\/c*c))\/(c**(2\/15)*c*(c*c\/(c*c**(-2\/3)))\/c))\/(((c\/(c*c\/c**(-3))*c*c)\/((c*c**6*c)\/c*c))\/(c\/c**5*c**(-2))) assuming c is positive.\nAnswer: c**(119\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 9:34 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of 1\/12*s**4 + 0 + 1\/20*s**5 - 7*s + 0*s**3 - 3\/2*s**2. Calculate g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.4, 3\/4.\nAnswer: -0.4, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 3*i + 4. Suppose 4*r - 2*n - 32 = 0, -3*r - 2*r + 46 = -4*n. Calculate the smallest common multiple of 8 and (3\/r)\/(i\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000001613 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 43030698817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 120*a**2*i - 2*a**2 + 1552*a*i - 8921700*a - 4*i wrt i?\nAnswer: 120*a**2 + 1552*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 3 - (-17 + 10). Suppose 0*z - 3*z = -h. What is the second derivative of -4*a**z - 183*a - 16*a**4 + 4*a**3 + 174*a wrt a?\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9176, -21863, -41590, -71879, -116252, -178231, -261338, -369095?\nAnswer: -505024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-four fifths of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 162a73 (base 12) in base 15?\nAnswer: 77106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 74, 3\/5, -12.\nAnswer: -12, 3\/5, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -60572, -121147, -181722, -242297, -302872, -363447?\n\"Answer: -60575*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/sqrt(2)) + (sqrt(14)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1534 is divided by 504?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -2.9720785 rounded to three decimal places?\nAnswer: -2.972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 5*l = -2*b + 792, -4*b + 4*l = -828. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -5*o + 10, -13 = 5*o - 33. Solve -5*q = v - 14, -p*q = -3*v - 0*v - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w**2 - 4*w**2 - 5*w + 16*w**3 + 6*w**2.\nAnswer: 16*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*o**3 + o**4 - 2*o**2 + 2*o**4 - 13*o**3 + 2 to the form f*o**3 + v*o**4 + p*o + q + d*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -21*g + 17. Let h(p) = -6*p + 6. Let y be h(2). Is 20 a factor of n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14076 - 12121. Calculate the greatest common divisor of a and 1610.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4719\/429)\/(11\/(-47))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1759928 and 10.\nAnswer: 8799640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -6)*2 - (9855\/1365 - 224\/196)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 + 13. Let d be (16\/(-6))\/(k\/(-30)). Solve -d = -0*a - 3*a - 5*j, 3*j - 4 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 180 divided by -20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from qsqsqqjqsqjsqqjsqd.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/(c\/(c\/c**(-5\/4)))*c**(-8\/5)*c\/((c*c**(-10\/3)*c)\/c)*c\/c**(1\/19) assuming c is positive.\nAnswer: c**(5621\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*v**2 + 36*v**2 + 294*v**2 - 84*v**2 to x + k*v**2 + l*v and give k.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 93 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.8714 - -0.1286. Which is the closest to -208? (a) u (b) -3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n - 12 = -2*j, -1867*n + 1869*n + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 23*y**2. Let j(t) = 2*t**2 + 1253. Give j(m(v)).\nAnswer: 1058*v**4 + 1253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ti when two letters picked without replacement from iiiiititiiiiiiiiiii?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 142427 - 142422 = k, 2 = -0*p - p + k - 16 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12315 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/((-32)\/(-6) + 2). Is z at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -1153*a**3 - 30*a. Let m(i) = -930471*i**3 - 24213*i. Give 10*m(k) - 8071*q(k).\nAnswer: 1153*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - 5*k - 14. Calculate d(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 - -2) + 6\/12. What is the nearest to t in 3\/4, -2, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-5)\/2 - -2)*-10. Determine c, given that c**5 + w*c**3 - 4*c - 2*c**3 + 0*c**3 - 4*c**2 + 4*c**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 5:40 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 881829 is divided by 2001?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1826910 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {x: 3, o: 4, n: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 505*a - 14*a**3 - 1008*a + 503*a.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + -9. Suppose -26 = 4*h + 2*m + 20, j = -5*m - 5. Let o be (-2)\/h - 60\/(-33). Calculate the highest common factor of o and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.057 times 3.184?\nAnswer: 0.181488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 509 - 547.9. Put -3, q, -4, -1 in descending order.\nAnswer: -1, -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ijqfovo. What is prob of sequence oi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1.7 take away -404.29870393?\nAnswer: 402.59870393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 40 - 39. Which is the closest to k? (a) -6 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 118722 and 22842.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 628*k + 507. Determine b(-1).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 + 0)*(-112 + 5 + 0)*(2*l - l - 3*l) as v + a*l and give a.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z**2 - 3*z**2 - 2*z**2 + (z**2 + 3*z**2 - 3*z**2)*(1 + 2 + 0) + (0 + 1 - 6)*(4*z**2 + z**2 + 0*z**2).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4329336 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 45*v**4\/4 + 22*v**3\/3 - 3*v**2\/2 + 88. What is the third derivative of u(r) wrt r?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2737893\/290 - -9441. Let u = 643\/6090 + k. Which is the closest to 1\/5? (a) 0 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0129216 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29399246, -29399244, -29399232, -29399204, -29399154, -29399076, -29398964, -29398812?\nAnswer: -29398614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 7. Let c = t + -4. Are 2 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 6\/90*-9*550\/22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4573, -12851, -21129?\nAnswer: -29407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 53570 divided by 96?\nAnswer: 26785\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -163000 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 19 + 41. Let b be (-11)\/28 + 3\/a. Is -11 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000005634682897 to seven decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 4*q - 3874, -q = -3*a + 942 + 1396. List the prime factors of a.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3779398 divided by 18?\nAnswer: -1889699\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 245 divide 12083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 1 + 2)*(9*l + 41 - 20 - 18) to the form w + g*l and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vf when two letters picked without replacement from {v: 2, f: 1, z: 2, j: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-39)\/12 + 3 - (-63)\/28. Let q(s) = s + 1. Let h be q(1). Factor 2\/3*p**3 + 2\/3 + i*p + h*p**2.\nAnswer: 2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d**3 - 2*d**2 - 4*d + 4. Calculate b(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 9:15 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 337*l**3 + 329*l**3 - 657*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.01 + 0.00269022877\nAnswer: 0.01269022877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 14, -2\/5, 3, 5\/3 in ascending order.\nAnswer: -2\/5, 5\/3, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 72 = 5*u. Let f = 29 + -25. Suppose 10 = f*i + i. Calculate the highest common divisor of i and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28\/(-8)*((-459)\/(-119))\/(6\/8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-4)*-6*(-4)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -194 + 203. Suppose -h = -a - 4*q + 46, 0 = 5*q - 20. Calculate the remainder when 124 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -57.4 - -6.4. Let x = -50.58 - f. Let w = x - 0.02. Put w, -1\/4, -1 in descending order.\nAnswer: w, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (90\/(-20))\/((-6)\/8). Suppose 0 = w - a + 3. Suppose 3*j + 309 = w*s, 0 = -4*s + j + j + 414. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 52*d - 203 + 723 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 7 - 3)*(-3*a + 6*a + 16*a)*(1 - 2 + 2)*(-3 + 4 - 3).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 926 is divided by 120?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2291 + 1419. Let f = d - -1504. What are the prime factors of f?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10057 and 1808?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from {r: 5, k: 1, w: 4, c: 2, t: 1, e: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 132 and 806168?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -3) + (-1 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 277 + -127. Suppose 0 = -4*u - z - 4*z + j, -4*u + 2*z = -164. Calculate the remainder when 70 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -98, -337, -736, -1295?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -572711\/49 or -11688?\nAnswer: -11688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 138256278 to the nearest integer?\nAnswer: 11758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 248 is divided by 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -0.3, 3\/7, 2\/5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 57 = -2*p - 2*u + 91, -2*p = -3*u - 9 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2803674, 5607349, 8411024, 11214699, 14018374?\nAnswer: 16822049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*w + 2*w - 5*o = 30, 0 = w + 3*o + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*o - 95*j - 139 = 6*o - 439, 5*j - 21 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k**(2\/5)\/k*k)*k*k*k\/(((((k**15*k)\/k)\/k)\/k)\/k*k)*k\/(k*k**(-8\/13))*(k**18*k)\/k assuming k is positive.\nAnswer: k**(599\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1812951114 to the nearest integer?\nAnswer: 42579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2011304310 (base 5) in base 8?\nAnswer: 17227743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from crddrrcdrdddy. Give prob of picking 1 d and 1 y.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 331744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**5\/2 + 5*t**4 - 53*t**3\/2 + 21*t**2 = 0. What is t?\nAnswer: -14, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, -4\/5, 3.\nAnswer: -5, -3, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -0*l + 25. Let z = l + -2. Suppose 0 = 7598*d - 7202*d - 1584. Solve 0 = -j + 3*j + 2*y + 6, 0 = -z*j + d*y - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*t**4 - 2*t**4 - 4*t**4 + (-5*t**3 + 2*t**3 + 10*t**3)*(-113 - 104*t + 113) in the form g*t**2 + u*t + w*t**4 + a + b*t**3 and give w.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -107 - -111. Solve 0 = -0*z + p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 312165586 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of -j**4\/4 - 8*j**3\/3 - 2*j**2 + j + 15. List the prime factors of z(-8).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 29*v + 56. Let k(a) = 14*a + 29. Let i(s) = 5*k(s) - 3*q(s). Let j be i(-7). Let g = -93 + j. Solve -2*w - 4*x + 12 = 0, 0*w = -w - g*x + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 222*q**2 - 101*q**2 - 101*q**2 - 2*q**2 + 2*q**2 + q**2 + (-3*q + q + 5*q)*(-3*q + 4*q - 2*q).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: (-3 - -1)*(-1)\/(-1*3*(-182)\/9282)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 3*h - 9*h)*(1 + 4 - 4)*(0 + 0 - 3)*(4 - 1 - 1).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 - j**2 - j - 1. Let p(z) = -z**2 - z + 6. Determine p(g) - y(g).\nAnswer: g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 380 - 1517\/4. What is the smallest value in -1\/6, l, 21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -134140321 (base 5) to base 15.\nAnswer: -da5e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2743? (a) -82 (b) -1\/6 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -31*v - 2 - 16*v + 85*v - 36*v. Let j(h) = -h**3 - 10*h**2 - 9*h + 3. Let d be j(-9). Let z(y) = y - 3. Determine d*a(o) - 2*z(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 14\/11*p**2 + 24\/11*p + 2\/11*p**3 + 0.\nAnswer: 2*p*(p + 3)*(p + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -162956 by 18.\nAnswer: -81478\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 25*l**3 - 100*l**2 + l - 9. Give n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -735 divided by -3.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -1, 5, -1\/8, -7.28 in ascending order.\nAnswer: -7.28, -1, -1\/8, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/550 + 49\/(7350\/(-12)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -5. Let b be d + 4\/((-12)\/9). Let k be (-4 - -5)\/(b\/(-16)). What is the greatest common factor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 138 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 40\/570631?\nAnswer: 40\/570631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2523 is divided by 158?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4 and 508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 569 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 67\/5 of a kilogram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + q + 32 = -61, -q = -5*m + 153. Let w be (-4)\/(-6)*m\/4. Suppose 5*f - w*y + 2399995 = -4*y, -2*y = 10. Round f to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 10 = -g + 3, 5*g + 2*n = -23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r**2. Let d(b) = -2*b - 3. Let o(w) = 84*w + 132. Let a(s) = -88*d(s) - 2*o(s). Determine x(a(u)).\nAnswer: -256*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 4*r - 68. Give x(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - (3 + -10 - -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y + 1 - 13, -79 = -15*n + y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/39033 equal to 31918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6965 - 6963. Solve 9 = -a + 4*a + 3*h, -q*h = 3*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18381 is divided by 364?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 3766, 2723, 5, -3 in increasing order.\nAnswer: -3, 5, 2723, 3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -d - 68679493, 18637089 = -3*q + 4*d - 32872526. Let m = q - -24269873. What is m rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -7*u**6\/65 + 29*u**5\/65 - 7*u**4\/26 - 28*u**3\/39 + 12*u**2\/13 + 144*u. Find i such that a(i) = 0.\nAnswer: -2\/3, 3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 6*s**2 + 10*s - 6. Give w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 9, r: 5, g: 2}. What is prob of sequence gr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 450200 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-10)\/65 - (-152)\/(-26). Let c(o) = o**2 + 4*o - 5. Let q be c(i). Suppose -2*v + 11 = -q. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 159482 by 2.\nAnswer: 79741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 635741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 c when three letters picked without replacement from {v: 4, c: 6, p: 7}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 64*l - 61*l - 4*h, -3*l = -h - 4. What is the nearest to 0.3 in -2\/9, l, -5\/2, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*m**2 - 2 - 2 + 4*m**2.\nAnswer: -33*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, k: 2}. Give prob of picking 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five halves of a second in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes after 2:27 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*n - 5*t + 9*t, 4*t = 5*n - 10. Let a(j) = 9*j**2 + 19*j**2 - 7*j**n. Let h(l) = -6 + 6 - 2*l. Give h(a(i)).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/3*(65\/(-50) - -1). Which is the nearest to -1? (a) 3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79646847 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-9))\/(7\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 248321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10155472 + -8?\nAnswer: -10155481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*k - 66*k = -116. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1229640 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add 192 and -66859.\nAnswer: -66667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6847 - -8915. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**3 - r - 1. Let h(s) = -4*s**3 - 5*s - 5. Let y be ((-15)\/4)\/((-24)\/(-96)). Give y*n(b) + 3*h(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j + 21*j - l - 11 = 0, 2*j = 3*l + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 9 = 2*o. Is (o*1)\/(2\/(-3)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -126 + 105 + h - 86 + 107. Let x(j) = 2*j**2 + 5*j. Let w be (-2)\/(-1)*(-2)\/4. Calculate w*x(d) + 2*u(d).\nAnswer: -2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -178 - -178. Solve r = -8*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000064277626 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 23.4, -0.1, 1\/5, 31, -2\/23, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 36 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.00081 + 0.04081. What is the closest to 2 in o, -2\/19, -3\/4, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 41888\/18513*-66*6\/7?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 44354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 3 = 146. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w - 22. Let t be d(-11). Solve t = 3*j + 4*g - 14, 0 = j + 2*g - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 6*r**3 - 61*r**2 - 69*r. Let l(m) = m**3 - 12*m**2 - 14*m. Let a(z) = 2*b(z) - 11*l(z). Let y be a(-8). Suppose -3\/2*x**2 - 3\/2*x + y = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -30 - 26?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -32 + 47. Suppose r - 4*r = -36. Let f = r + z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1636, 4, 1353.\nAnswer: -1636, 4, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1283, -2563, -3843, -5123, -6403, -7683?\nAnswer: -8963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -338*i + 3786. Is 12 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 217 is divided by 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1452, -1557, -1660, -1761, -1860, -1957, -2052?\nAnswer: -2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1275)*-6 - sqrt(51))\/(sqrt(12)\/sqrt(4)*-4))**2.\nAnswer: 16337\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-2*sqrt(136) - sqrt(136))\/sqrt(8))**2.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mvvmppvpm. What is prob of picking 3 p?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Sort 5, 200403610, 3.\nAnswer: 3, 5, 200403610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 3\/7, -0.1, -2 in descending order.\nAnswer: 31, 3\/7, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -2*j**2 + 9*j - 5. Let k be n(3). Solve 3*f - 2 = o, -k*o + 6*o = 5*f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18400 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 the ten thousands digit of 141742000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 10.988 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 10000 (base 3) in base 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 123 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 7:07 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3e3 + -93?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -6. Let -d**4 + d**2 + 3*d - 2*d**c - 2*d**3 + 2 - d**3 = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200222 - -111001021100?\nAnswer: 111000120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3520 a factor of 692581120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = 38*i + 31. Which is bigger: i or -4\/175?\nAnswer: -4\/175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(312) + (sqrt(312) - 6*sqrt(312)*2))\/sqrt(6))\/(-6*(sqrt(4) + sqrt(8)\/sqrt(2))*-1).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -267 * -1.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0014188213185 to six decimal places.\nAnswer: -0.001419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.429459 take away 10.5?\nAnswer: -10.070541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -138236, -276475, -414714, -552953, -691192?\nAnswer: -829431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 1 = -q + 2*c, 12 = 3*q + 3*c. Let h(n) = -6*n - 2*n**2 - 7*n - 9 + 4*n**2 - n**q. Is h(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -56a10 (base 13) to base 11\nAnswer: -a8525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -18 + 52 - (70 - -11)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/f**(-2\/17))**(5\/9) assuming f is positive.\nAnswer: f**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 490 = 81*k - 116*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*s**3 + 24 - 24 + s - s + 2*s**3 + (0*s - 2*s**2 + 0*s)*(4*s - s - 4*s) + 0*s**3 + 4*s**3 - 3*s**3)*(0*s + 0*s - 2*s).\nAnswer: -42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 956042*p**4 + 969196*p?\nAnswer: 11472504*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u**2. Let a(v) be the third derivative of 0*v**3 - 19\/24*v**4 + 49*v**2 + 0 + 0*v. Calculate a(m(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.0217, 0.1, 66?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7.54462 + -7.6110662. Let j = -0.0665 - z. Round j to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - 1 - (-51 - -50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10 or -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/180 and -41\/9720.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i + 12. Let y(x) = -x**2 + 15*x - 41. Let c be y(8). Let n be 70\/16 + c\/(-40). What is b(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-252710)\/(-90) - 2\/(-18). Let r be 4\/9 - 816\/h. Put -1\/4, -3, -1\/5, r in decreasing order.\nAnswer: r, -1\/5, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 57564187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 24 divided by 862?\nAnswer: 12\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/14 + 576\/(-56). Suppose -3*n + 0 = -3. Let b = -3808 + 3812. Put -2, b, a, n in descending order.\nAnswer: b, n, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2700 * 104.\nAnswer: 280800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*k + 10*k = -72. Differentiate 11*h**4 + 27*h**4 + 39*h**k - 18 with respect to h.\nAnswer: 308*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1747389613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 8*m + 11*m = 24, 5*h - 92 = -4*m for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -10*q**2 + 14 + 6*q + 14 + 17*q**2. Let z = -93 + 84. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 + -4. Let o(q) = q**3 - 13*q**2 + 12*q + 4. Let s be o(12). Solve -s*w + x = -11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 48*(-1 - 48) - (-5 - -9). Let m be (-3)\/2 - 3762\/k. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 125655023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + -43. What is the common denominator of ((-40)\/280)\/(-2 + (3 - (-668)\/(-644))) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 AM and 3:46 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u + 3*u + 12. Suppose 2*i = -4*l + 30, -3*l = -6*i + 4*i + 58. Calculate the remainder when i is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 6:05 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -3*s - 3*g + 4*g, -22 = -2*s - 2*g. Let d be ((s\/4)\/3)\/((-33)\/(-176)). What is the highest common divisor of 46 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9*4\/(-3)*2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000046368942 to six decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 141480*t**2 - 128979.\nAnswer: 282960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2982941, 2982940, 2982939, 2982938, 2982937, 2982936?\n\"Answer: -c + 2982942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*k - 1\/2*k**4 + 0*k**2 + 0*k**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + 0)\/(2744\/176*-2). Do t and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 6614886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -16. Let t = -7 - z. Which is smaller: 1\/4 or t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153358279 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 16 = 2*c - 3*c - 2, 9 + 3 = 2*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 2. Suppose 24 = 2*v + k*v. Suppose v - 17 = -p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -610\/19, 1\/10, -0.1, -1\/5, -0.5, -0.09?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 171 a factor of 63230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 67552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80 + 305*m**2 - 80.\nAnswer: 305*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228120211.\nAnswer: 11, 1885291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 2. Let w be (-1)\/(1 - 2)*2. Let z be (6\/(-54))\/(w\/(-3)). Which is the closest to -1? (a) d (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of -y**5\/60 + y**4\/24 + y**3\/6 + 10*y**2. Calculate p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 1\/9, -3\/2, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 109665629.\nAnswer: 1373, 79873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -65 + 188 = 46*b + 1043 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 9 = l, 2*n = 2*l + 9 - 23. Let x be 14\/2*l\/7. Suppose x*w - 16 = 2*w. Solve -4*p + 4*h = -8, -5*p - h = -0*p - w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20325*l - 20302*l - 667. Let u(n) = 4*n**2 - 117*n + 28. Give u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20596536 - 10996536. Round j to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31260 divided by -4.\nAnswer: -7815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 298411*y - 2727443?\nAnswer: 298411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1b - -ab?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 96\/(-30) + (-1)\/(-5). Let v be ((-3)\/(-1))\/(l\/22). Let a = 35 + v. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/8828 and 101\/18?\nAnswer: 79452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + g)*(-19*g - 44*g + 4*g)*(0 - 5 + 1 + 4 - 153*g).\nAnswer: 9027*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 50375526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -410431 + -103?\nAnswer: -411034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 + 20 = 5*k + 5*w, k = -4*w - 21. Put k, 1, 8, -2 in descending order.\nAnswer: 8, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the second derivative of -m**6\/210 + m**5\/28 + 11*m**4\/42 - 4*m**3\/3 + 442*m + 3. Factor d(a).\nAnswer: -a*(a - 7)*(a - 2)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -198 divided by -2\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -n**3\/3 + 7*n. Let v(t) = 2*t**2. What is v(f(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8299510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -7*k - 58. Let i be t(-8). Let b(y) = -y**2 - 2*y - 3. Determine b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and 18.4.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 147684*w - 147679*w = 3*h + 11, 3*h + 2*w + 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -949.704966 to 0 decimal places.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -137.944 * -5783.\nAnswer: 797730.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -36*q**2 + 24*q + 15. Let m(n) = n**2 - 5*n. Determine -5*m(d) - s(d).\nAnswer: 31*d**2 + d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {v: 2, z: 10, u: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z + 2. Let n be m(0). Suppose n*u - i = -1 + 13, -52 = -4*u - 5*i. What is the smallest common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 210169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(612)*-1)**2*-1 - sqrt(612))*1.\nAnswer: -2448 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 105420 and 75.\nAnswer: 527100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7476 and 6866706?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 12260364 (base 7) to base 15.\nAnswer: 16d039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -3*p + 6. Give b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2*w + 20. Let c be n(-10). Let s = -1\/16 - 3\/16. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/(40\/(-15)))\/(-9). What is c in 0 + d*c - 1\/6*c**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n**3\/3 + 33871027*n**2 + 860434869461560*n + 2581304506771600\/3 = 0.\nAnswer: -50806540, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 232 (base 16) in base 10?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/4 (c) 22 (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 8*k - 75. Let f be ((-18)\/4)\/((-91)\/(-14) + -7). Let v be q(f). Let r be ((-1)\/6)\/((-1)\/4). What is the nearest to v in -5, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -k**5 - 150*k**4 + 11090*k**3 + 7060217*k**2?\nAnswer: -60*k**2 - 3600*k + 66540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 8*f - 17. Suppose -y = 2*y - 6. Let o(q) = 6 - y*q + q - 2*q. Calculate 17*o(z) + 6*u(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 10*x**2 - 5*x - 4. Let w(j) = 6*j**2 - 4*j - 3. Let c(r) = -r**2 + r + 1. Let v(o) = c(o) + w(o). What is 3*s(g) - 5*v(g)?\nAnswer: 5*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4565011 + 45717209\/10. Let g be 8\/(-10) - (-301644)\/(-45). Let w = g + y. Find the common denominator of 61\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.155 - -143.\nAnswer: 142.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 5*k**3 + k**2 + 2*k - 2. Let p = -36 - -37. Let s be u(p). Solve -2*j - 4 = -s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3 = 2*n. Let k(h) = -6*h**3 - h**2 + h + 1. Let g(t) = -t**2 - 8*t + 2. What is the remainder when g(-7) is divided by k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3*f = -f - 4, -4*f + 20 = -3*j. Let l be j\/27*-5 - 2. Factor -4\/9*y**2 + 0 - l*y.\nAnswer: -2*y*(2*y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y**5\/5 + 9*y**4\/5 - 2349*y**3\/5 - 2361*y**2\/5 + 4698*y\/5 = 0 for y.\nAnswer: -29, -2, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -72 in 0.4, 0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.327818ng to grams.\nAnswer: 0.000000000327818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = 63*p - 240, -2*f - 34 + 43 = 5*p + 14 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 - 7*k**2 - 6*k + 9. Let b be f(7). Let h be b\/22*(-16)\/6. Suppose 4*j = -4, -h*a + j + 6 = a. Which is smaller: a or 15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 10 = -4*c, -12*c + 7*c = -4*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/1 + -9 + -1. Let w be (-14)\/l - (1 - -1). Let m be 0 - ((-2)\/(-45))\/((-3)\/15). Which is the third smallest value? (a) m (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 70335.46mm?\nAnswer: 70.33546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - w - 403*w**2 - 2*w**3 + 403*w**2 + 3*w + w**4 to the form n*w + q*w**3 + b + a*w**4 + d*w**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*g**2\/9 - 19636*g\/9 - 48196562\/9 = 0. Calculate g.\nAnswer: -4909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -8a30 (base 14) to base 7\nAnswer: -126560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of o**3\/30 - 47*o**2\/10 + 2193*o\/10 - 15444. Factor q(g).\nAnswer: (g - 51)*(g - 43)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 6*n, 5*m = 5*n + 60. Calculate the lowest common multiple of 2 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**8*s**5)\/(s\/(s*s**(-1))*s*s**(2\/5)\/s*s*s) assuming s is positive.\nAnswer: s**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -20*v**3 - 3*v**2 + 8*v - 7. Give m(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -11570024 (base 9) to base 8\nAnswer: -25446064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -910 - -589.5. Let n = -321 - q. Which is the closest to -1\/4? (a) n (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, t: 1, g: 1, n: 1, x: 1, m: 2}. What is prob of picking 1 o, 2 m, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -9*n**2 - 21*n - 21. Let d(u) = -2*u**2 - 5*u - 5. Let v(g) = 21*d(g) - 5*k(g). Let p(i) be the first derivative of -4*i**3\/3 + 2. What is p(v(b))?\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5*(-1 + 4*-5*sqrt(2736)*1 + -3))**2*-5.\nAnswer: 240000*sqrt(19) + 136802000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 365 = -5*v, -199 - 176 = 3*q + 3*v. What is the common denominator of -42 and q\/(-18) + -2 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5 and 6487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*t - 3. Let s = 66 - 81. Let l = -710 - -707. What is the third biggest value in l, 0.1, t, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*g + 30*g - 176 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 - 25*g**2 + 12. What is x(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2\/7, -1 in ascending order.\nAnswer: -4, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 5*t - 16, 2*l + 2*l - 3*t = 4. Suppose -l*p + 6 = -p. Suppose -p*c + 15 = 3*c. Solve -2*a = c*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 8192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6824371575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/17 in 26\/17, 4\/7, 1.1, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -83 (b) -0.09 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 7*n**3 + n**2 - n + 10. Let b(t) = -5*t**3 - t**2 + t - 9. Let k(r) = -3*b(r) - 2*x(r). Give k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 434 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 6, l: 2}. Give prob of sequence mlml.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 6*u - 5. Let r be j(-4). Let l be ((-4)\/4)\/r*-18. Solve 7*x = 4*x + l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1185, 1363, 1541, 1719, 1897?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -0.03 (b) -39 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -5. Let q = -10 - -28. Let w = b + q. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*x, 2*x - 4 - 26 = 2*h. Let w = -10 - h. Solve -5*y = -b - 0*b - w, 0 = -4*b - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -97102 or -97372?\nAnswer: -97372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 11) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -3*x**2 + 64*x - 17. Let m be t(12). Let v = m + -109. What is the greatest common divisor of v and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 379381867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2 - 13*h + 44. Let g be x(-18). Suppose -106 = -4*c + 166. Let r = c + g. What is the lowest common multiple of r and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-24)\/(-11) + 2\/(-11). Let u(m) = 8*m**2 - 3*m**2 + 3*m**i. Let g(q) be the second derivative of q**4\/6 - 2*q + 1. What is u(g(r))?\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of z**6\/120 - z**5\/5 + 13*z**3 - 28*z**2. Find the first derivative of j(g) wrt g.\nAnswer: 3*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.23312 years to decades.\nAnswer: 0.523312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.1153 * -0.2\nAnswer: 0.02306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -349530 divided by 573.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -29*u - 40. What is the remainder when 52 is divided by m(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10136*r**2 + 4*r - 95758 wrt r.\nAnswer: 20272*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times 13981?\nAnswer: -153791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be -10*(6 - 1316\/35) - 8. Suppose -4*s + 4*j + 390 = 38, 236 = 3*s + 4*j. Calculate the highest common factor of s and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-4) + (-6 - (169\/4 + 6)). Put 0, v, 5 in decreasing order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -0.029, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -233376905 by 46675381.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1242 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-1*(-52)\/8). Let g = -10794143\/36 + 299906. Let w = 273\/4 - g. Which is the biggest value? (a) w (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 5*j**3 - 10*j**2 + 7*j. Let y(m) be the first derivative of 3*m**4\/2 - 11*m**3\/3 + 4*m**2 - 4. Let h(d) = -7*b(d) + 6*y(d). Calculate h(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3056197*f**3 - 6719*f**2 - 9*f + 10.\nAnswer: 18337182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3042 divided by 234?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13897 is divided by 231?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*o**2 - 374*o + 703*o - 329*o.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the first derivative of -o**9\/504 + o**5\/60 + 5*o**2\/2 + 1. Let g(a) be the second derivative of r(a). Find the third derivative of g(w) wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 15*l**2 + 8*l - 5. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {v: 2, g: 4, h: 1, o: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2\/5)*u)**33)**48 assuming u is positive.\nAnswer: u**(4752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 35*d**2 - d + 2. What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -2*f - 5*u, -3*f + 0*f - 3*u = -15. Suppose -f*b - 16 = -l, 4*b = b. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-51)\/(-85) + 6\/(-10). Which is bigger: f or 10\/21?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 26 = -d + 87, -154 = -4*d + 2*o. What is the greatest common divisor of 171 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 160898, 321799, 482700?\n\"Answer: 160901*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 4*h = 58924, 10298 + 48625 = 2*s - 3*h. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1463*p + 1462*p - 2929*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 5*v + 1. Let f(d) = 10086776*d. Determine f(t(k)).\nAnswer: 50433880*k + 10086776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*k - 330*k**3 + 19*k + 331*k**3 + 17*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 108 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 - 9. Let k be (-3)\/y*(-50)\/(-15). Let p = -5 - -3. Sort p, k, -0.1.\nAnswer: k, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11 - -14. Solve -5*s = k*b - 37, 0*b - 5*s = -3*b - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 + 14. Solve -l*z + 3*o + 22 = 0, -3*z = z + o - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*r - 22, 3*r + 130 = 5*l. Suppose -7*d - l = -8*d. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 6*y - 3. Suppose -4 = -2*t + y*z, 0*t = 5*t - 4*z + 4. Let k(x) = -3*x + 5. Calculate the remainder when 32 is divided by k(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -17935811*g**2 - 6647068?\nAnswer: -35871622*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 407 - ((-10)\/25 + 8\/(-5)). Suppose 21 - x = -2*a. What are the prime factors of a?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2.5 (b) 3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(-20))\/(-11*372\/1056)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -0*v - 75. Find the first derivative of 11*r**3 - v + 4*r**3 - 5*r**3 + 3 wrt r.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**3 - 54*k**2 - 35 - 244*k + 33 + 102*k**2 - 49*k**2 to the form t + o*k + l*k**2 + n*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 915 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t + 29*t - 90 = 0. Suppose 12*n + t = 77. Solve 18 = -0*d - n*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 37437 + -37440. Sort 2, -2256, 3, b.\nAnswer: -2256, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-8)*-4*2. Suppose 2 = 5*s - g*s. Find the second derivative of 7*p**4 - s*p + p - 3*p + 2*p wrt p.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -5*d + 29, 2*d + 2*d = -j - 4. Let w be (14\/j)\/(3\/(-12)). Solve 4*o = -w - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 5) + (-3 - (-3 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7046234 or -7046232?\nAnswer: -7046234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 - 4*y**2 + 3*y + 2. Give v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5168660171, 5168660173, 5168660177, 5168660183, 5168660191?\n\"Answer: f**2 - f + 5168660171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*n + k + 8 = 25*n, 3*n - 6 = k. Let d(g) = -1. Let s(q) = 0 + 4*q - q - 1. What is n*s(x) + 2*d(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 142*p**2 + 5*p - 2. Let r(b) = 4*b**3 - 284*b**2 + 12*b - 3. What is -5*m(y) + 2*r(y)?\nAnswer: 3*y**3 + 142*y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 10*c + 1. Let z be v(-4). Let x = z - -72. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 41116*u - 107003?\nAnswer: 41116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 3*k**2 - 4*k - 189. Let n(u) = -4*u**2 + 3*u + 190. Let z(h) = -2*n(h) - 3*s(h). Let a be z(15). What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**3 - 3*z**2 + 3*z + 9. Let w be d(-3). Suppose 0 = 5*y - w*y - 610. What is the highest common divisor of 305 and y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -17. Let h = 18 - q. Suppose -3*y = y + 4, 3*m - 27 = -3*y. Calculate the lowest common multiple of h and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q = -j, 2*q - 14*j + 17*j = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 346627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1 - -3 - (-26 - -28) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0535774 + -0.043.\nAnswer: -0.0965774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/26 less than or equal to 1899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19546 is divided by 978?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 241 - 150. Let b(m) = -58*m**2 - 2*m - 1. Let v be b(-1). Let d = v + s. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - -11)*(-12)\/(-24). Let w = m - -19. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**3 + 125*a**2 - 755*a + 1275.\nAnswer: -5*(a - 17)*(a - 5)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -85695, -85697, -85701, -85707?\n\"Answer: -m**2 + m - 85695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 1, -2\/3, -237?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 3*w - 36 = 0, -294*w = -13*i - 293*w - 2 + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 0*r - 3*r - 2*r + 6*r. Suppose 4*v - 7*v = 5*v. Let u(f) = 8 - 3*f - 6 + v*f. Calculate 2*t(a) + u(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.9 + 0.1. Let a = -0.64 + 0.14. What is the nearest to r in a, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 70 + -70. Which is the nearest to -0.01? (a) f (b) 0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 2*l, -5*i - 3*l = -i - 22. Solve h - 18 = 4*u - i, h = -5*u - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - -134414?\nAnswer: 134421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -856, -3271, -7302, -12955, -20236, -29151, -39706, -51907?\nAnswer: -65760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12013680 divided by -572080?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -472, 2, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7091 - 35454\/5. Suppose -4*w + 5 = -3*d - 8, -3*d = 3*w - 15. Put n, w, -5, 1\/11 in increasing order.\nAnswer: -5, 1\/11, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7341488?\nAnswer: 2, 7, 11, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 1565 divide 139824925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1624 is divided by 207.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 37*o + 0 + 100*o - 18 + 37*o - 206*o + 31*o. Let m = -14 - -2. Give n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -8*v**3 - 4*v**2 - 5*v - 4. Let y(k) = -122*k**2 + 612*k - 5. Let o be y(5). Let w(u) = -7*u**3 - 5*u**2 - 6*u - 5. Give o*p(i) - 4*w(i).\nAnswer: -12*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -596 - -441.8. Let x = y - -154. What is the second biggest value in x, 0, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**5 - k**4 - k**2 + k. Let q(o) = 17*o**5 - 2*o**4 + 3*o + 1. Let c(y) = 2*i(y) - q(y). Find the second derivative of c(u) wrt u.\nAnswer: -380*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the first derivative of -a**8\/1120 + a**7\/280 - a**6\/240 + 13*a**3 + 51. Let s(b) be the third derivative of j(b). Factor s(f).\nAnswer: -3*f**2*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/40 - 2118\/150*-5?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2061 - 2057. Solve -4*u + 3 = m, 2*u - 3 = k*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + ((-21)\/(-6))\/((-4)\/(-8)). Suppose -q*f + 16 - 6 = 0. Suppose -5*c = -f*n + 15 - 0, -2*n - 6 = 2*c. Sort n, -1, -5.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2 = 2*q, 4*d - 1 = -3*q - 4. Let k be (-1 - -5 - 30)*q. Determine z so that -8*z**3 + 6*z - 23*z**4 + 0 + k*z**4 + 2*z**3 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 86 + -600\/7. Let h be (2 - 0) + 2 + -1. Suppose 0 = h*z + z. Is z at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -520.529 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/960 and -47\/60.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 - 83*r**2 + 189*r + 4064. Calculate x(80).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2065 times 0.2368\nAnswer: -488.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 0, -3\/2, 34?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52 + -26. Suppose -2*x + b = 4*l - l, -5*l = -x - 26. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(252)\/(sqrt(27)\/sqrt(3)))\/(1*sqrt(8)\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 171716 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)\/(sqrt(16)\/sqrt(2)) + sqrt(14))\/(5*sqrt(7)*-2) + 2.\nAnswer: -sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.910054 + 2.91. What is y rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 - -2 - -1*2. Let m be 9 + -6 - (2 + -2). Suppose 7 = p + m. Solve p*z = f*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k + 7. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.9 + -1.4. What is the smallest value in -3\/2, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 9*u + 48. Let w be n(6). Let h = w - 79. Suppose 0 = -4*f - h + 23. Solve f = k + 5*c + 21, -3*k = 2*k + 3*c + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -28*q**2 + 12*q**2 + 36*q**4 + 0*q**3 + 13*q**2 + q**3 in the form m*q + o*q**2 + p*q**3 + u*q**4 + j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8736039 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1136466 divided by -6\nAnswer: 189411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*c - 137*c - 630 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(70) - -5*sqrt(70)*-4) + sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70)))\/((sqrt(40) + sqrt(40)*-2)\/sqrt(4) + sqrt(30)\/sqrt(3)*-1).\nAnswer: -45*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 + 4*s**2 + 6*s + 17*s + 7 - 12*s. Let v be d(6). Which is greater: -2\/57 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35\/14*7\/(-105)*-78)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-5)\/50 + 451\/410. Is a != 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-196)\/294)\/(2\/(-6)). Let 15*s - 75\/2 - 3\/2*s**b = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 172855, 173449, 174043, 174637?\n\"Answer: 594*g + 172261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 - -201?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-285)\/(-76) + (1 - 9\/12). Suppose -k*l - 43 = -83. What is the remainder when 49 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 18 - 3 = 0. Suppose -k + 2*k = l. What is the first derivative of -g**2 - 5*g**2 - 1 + k*g**2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 408\/773 + -465788\/946925. Find the common denominator of o and 129\/70.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 divided by 1223733\nAnswer: -13\/1223733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 251*n = 244*n + 35. Solve 8 = n*h + 3*t, h + 0*h + 4*t - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -4, 1\/3, -5\/4 in descending order.\nAnswer: 1\/3, -5\/4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1313584 and 12464?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = y - 3*l + 12, -20 = -5*y - 5*l. Let p(x) = -x**3 + 6*x**2 - 2*x + 9. Let c be p(6). Let s be (1\/c)\/((-3)\/9). Is s equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/420 and -49\/115?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - u - 4*u = -25, -4*u = -20. Solve 0 = 2*t - t + 2*r - 1, -2*t + 5*r - 16 = i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80)\/sqrt(4)*3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v + 2*v - 206. Suppose 4*a = -3*c + 28, -4*a + 52*c = 56*c - 32. Suppose -v = -p - 3*u, -5*p + 103 = a*u - 423. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 80 + -41. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1\/2, 0.29, 1294, 195, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 16 = -2*n, 0 = 2*n - 35*b + 34*b + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 34199996 - (-2 + (-15)\/(-5)). Suppose 0 = s + 2*s + a - 34200001, -3*s + v = -5*a. What is s rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*q + 4*q - 7*q. Suppose q = -9*r - 14*r + 43470. What is r rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -226*a + 224. Let l(i) = -3. Let k(t) = -5*l(t) - q(t). What is the first derivative of k(n) wrt n?\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 432410002 (base 5) to base 15\nAnswer: 265852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25 + -673?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (2350\/2)\/((-334900)\/(-13396))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {g: 3, v: 3, p: 1, b: 2, x: 1, j: 7}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 + l**2 + 1. Let s(b) = 484*b**3 - 6*b**2 - 3*b - 1. Let q(r) = o(r) + s(r). Find the third derivative of q(f) wrt f.\nAnswer: 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -143?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4745 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 430746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 1)\/((17\/34)\/(-10*6\/(-120)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n - 19. Let m be g(7). Let w(u) = -12*u - 3. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1838912 to the power of 1\/2, to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*y**4 + 0*y**3 - y**4 + 2*y**3 - 7*y**4 - 4*y - y**2 + y**3 + 1 to i*y + o + h*y**2 + v*y**4 + z*y**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3, -33, -89, -159, -237, -317, -393, -459?\n\"Answer: k**3 - 16*k**2 + 5*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, -1, -6, 8, -76 in increasing order.\nAnswer: -76, -6, -5, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 225*i + 71*i - 47*i + 87*i + 11*i + 283*i.\nAnswer: 630*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 61, 69, 77?\n\"Answer: 8*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -132612521 - 2.1.\nAnswer: -132612523.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 237, 8, -1, 2, -84 in descending order.\nAnswer: 237, 8, 2, 1, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 432 - -340204101?\nAnswer: 340210033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 46*f**2 - 373*f - 7. What is l(8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {z: 10, w: 2, e: 2, p: 1, j: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 4*m - 8 = 0, 0 = 2*h + 3*m - 0*m + 6. Let l = 1842895\/119 + -15487. Let x = 3\/7 + l. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*o - 19840 = 38*o. Suppose o = -1336*x + 1338*x. What is the least common multiple of x and 11?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*(-20)\/(-12)*(588\/(-90))\/(-49)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2811 is divided by 91?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 3*a + 20 + 52, -5*a = o - 18. What is the units digit of (-2)\/9 + 814\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - 106\/15) + 1\/(-3)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2625 - 4948. What are the prime factors of u\/(-11) + (-2)\/11?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-2)\/4 - 9\/(-2) and -4*(321\/(-90) - 16\/(-240)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 + 5*b**2 - 6*b + 6. Let q be t(-6). Let f(v) = -v**2 + 8*v - 4. Let s be f(q). Let l = s + -5. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-1 + -2 + sqrt(19))*-6)**2*-3.\nAnswer: -3024 + 648*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 210 and 16504614?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 90667002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -c - 0 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, f: 2, s: 1, w: 2, a: 1}. What is prob of sequence si?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18674\/87 + 644\/3. Let h = -79\/348 - f. Suppose 3*x + 0*x + 2*x = 0. Which is the biggest value? (a) 1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (15\/(-8))\/((-72)\/(-32))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/3))**(-2\/3)\/(v**(4\/3)*v\/v**(-3\/4)) assuming v is positive.\nAnswer: v**(-119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((-5*-1*sqrt(245))**2*-4 + ((-5*(-1 + sqrt(245)))**2 - (sqrt(245) - ((sqrt(245) - sqrt(245)*1) + sqrt(245))*-6)))*-2.\nAnswer: 1596*sqrt(5) + 73400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 19*f. Let v(u) = 57*u. Let s(m) = -8*t(m) + 3*v(m). Let j(o) = -5*o**2 + 47787*o - 47787*o. Determine s(j(q)).\nAnswer: -95*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-292)\/(-1022))\/(4\/56*-92).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.7 + 1. Which is the smallest value? (a) -1\/9 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -1.6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 - 9. What is x in n*x**2 + 3*x - 6*x - 3*x**2 - 2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 2*f = f + 177, f = 4*m + 226. Let d = m + 96. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 761 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 10 = 62. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 45\/103164401 and -51\/16655?\nAnswer: 515822005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-6) - (-52)\/(-36)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**2 + 23*n + 10. Give b(-19).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 4*x + 2*l, 4*x + 21*l - 35 = 16*l. Let c(p) be the second derivative of 0*p**3 + 0 + 0*p**2 + 5\/12*p**4 - 1\/20*p**x + 12*p. Determine c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 0 - 2 + (0 - 2 + 0)*(3 + 0 - 2))*(0*t - 2*t + t) + 3*t - 3*t - 3*t to the form r*t + u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s**(1\/2)\/s))**30)**(-11\/7))**(-45) assuming s is positive.\nAnswer: s**(22275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 259 + -254. Solve -5*p + 4 + 1 = 5*u, -r*u + 23 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26573906 is divided by 5314779?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.78 + 0.47. Let h = n + -18.69. Let a = -18.9 - h. What is the nearest to -1 in 1\/6, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1614\/989?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -4.24 and -9078.\nAnswer: -9082.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 80, -2\/11, -0.12, -4\/3, 2, 3\/4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 332021 divided by 1064\nAnswer: 332021\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 10667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -189415 or -189429?\nAnswer: -189429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 7.118 to 1 decimal place.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 - 2*z**2 + 4*z - 11. Let c be n(-4). Suppose -4*a = c*a - 18. Solve -5*y - a - 18 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8769*i**2 + 348*i + 4604477 wrt i?\nAnswer: -17538*i + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 a, 1 z, and 1 c when four letters picked without replacement from {z: 1, r: 2, c: 2, j: 4, a: 4, i: 1}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -65 + 65. Suppose 2 = o + 2*a - h, -5*o + a = 1. Suppose -3*t - t + 12 = 0. Solve o = -t*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 1\/7 (c) 1\/5 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - r**2 + 7. Let x(h) = h**3 + h**2 - 6. Let f(o) = -2*t(o) - 3*x(o). Let l = 37 - 35. Let v be (-19 + 19)*(-1)\/l. What is f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-4)*-2*(-7)\/(-84). Let t = -5 + 5.02. Let x = t + 3.98. What is the smallest value in j, x, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, k: 1, c: 4, h: 2}. Give prob of picking 1 r and 3 c.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*d + 22, -28 = -3*g - 2*d. Let f be (3\/3)\/(1\/g). Suppose x = f*l - l - 11, -2*x - 8 = -3*l. Solve 2 + l = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*r + 35803 + 5993 = 32*r. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 130 and 43966.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let x = 2.1 + -2. Let i = 1.53 + -0.23. Let r = i - 0.8. Which is the closest to x? (a) -2\/3 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -22 + 29.1. Let v = -7.4 + b. Let a = 22.96 + -23. Is v less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssh when three letters picked without replacement from {q: 4, h: 6, s: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000425 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3069339 is divided by 4347.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4192?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5774*q**2 + 5306*q**2 - 4*q**4 - 6*q**3 - 9619*q**2 wrt q.\nAnswer: -96*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88288 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3213)\/(-1701))\/((-1)\/(-9)). Solve 0 = 28*g - h*g - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 0.027826605?\nAnswer: 3.027826605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z + 3*d - 122, 0 = -2*z + 3*d + 42 + 11. Suppose -4*t - z = t. Let q be (-6)\/t*20\/6. Solve -a + 0*a = -4*l - q, 5*l - 12 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 15*a**5\/2 + 503541*a**4\/2 - 1812981*a**3\/2 - 1309293*a**2\/2 + 906483*a + 402876 = 0.\nAnswer: -33573, -1, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2 + 2*l - 55. Let s(r) = 54*r. Determine u(s(q)).\nAnswer: 5832*q**2 + 108*q - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 96, 200, 322, 468, 644, 856, 1110, 1412?\n\"Answer: v**3 + 3*v**2 + 88*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 614880.\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 22843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 85*j**2 - 32*j**2 - 63*j**3 + 1.\nAnswer: -63*j**3 + 53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/3 - 9101*s\/3 + 902748.\nAnswer: (s - 8793)*(s - 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*(43\/(-14) + 3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 + 18. Suppose 29*j - 11004 = 770. Calculate the remainder when j is divided by d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3094e2 (base 16) to base 3\nAnswer: -12222202102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/(-264)*77\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6486 + 8037. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3781 and -0.51.\nAnswer: 0.192831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.01 + 1.11. Let i be (3 - 0)\/(3\/(-4)). Let h be 4\/2 + (-14)\/6. Which is the nearest to o? (a) h (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -150 - -165 - (3 - -17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 431791 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f + 1. Let p(v) = -6*v - 2. Suppose -53*z = -5*z + 92 - 380. Give z*p(w) + 17*t(w).\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 15194205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 826154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -10, -3*x + 2*c + 24 + 20 = 0. Let j(l) = 0*l + 6*l**2 - x - l**3 + 3*l**2 + 12 - l. Give j(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -3*w - 8. Let z be m(-6). Suppose 5*n - z = -5. What are the prime factors of 13 - (n - 2)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-515)\/14 - (-86)\/(-36120)*90\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - (2 - 9))*(-30)\/(-21). Solve -2*z + w = c, 0*z - 2*z = 2*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 97\/(-5) + 289707\/(-43895)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15\/4 + 4. Let a be (1\/(-2))\/(-6 + (-166)\/(-28)). Let f be (-2)\/10 + a\/35. Sort -1, z, f, 0.1 in descending order.\nAnswer: z, 0.1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -201013032 (base 4) to base 15\nAnswer: -2a2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 13, -1, -2\/11 in decreasing order.\nAnswer: 13, 1, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -110937901 + 2.281395\nAnswer: -110937898.718605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 124*i**2 - 2*i + 3. Determine t(-2).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5085\/11 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/(-8)*0)\/2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-4))\/((-31)\/(-10974)). Let y = -174 + f. Solve -4*o + b - 11 = 0, 14 = -o + y*b - 5*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (7\/21)\/(3\/15)*3. Sort 12, 2, -1, x in descending order.\nAnswer: 12, x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(637) - sqrt(637))**2 + sqrt(637) + -1.\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-10) - 145\/58*18\/(-15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 117506 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/7, 1.081, -2\/2863, -6\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3547 * -174635.\nAnswer: 61943.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -170058*f - 73. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 329753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.01 + -0.01. Let z = 0.72 - 0.7. Which is the closest to -2? (a) -0.3 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**3)**(3\/23)*y\/(y*y*y\/(y\/(y**(-6\/5)*y*y)))*y**(-9\/5))**(-5) assuming y is positive.\nAnswer: y**(339\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**3 + 1 - 1 - 2*i)*(-2 + 3 + 1).\nAnswer: -4*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7)\/(-1*(3 + -4)). Let m = 8 + y. Is 2\/13 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = 11*x + 31*x - 246, -4 = -x - i for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 12. Suppose 130 = -2*p + n*p. What is the remainder when p is divided by 1 - -8*(-3)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47375 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 155 = 4*k - 173. Let v(w) = 5*w - 82 + k. Give v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -207007, -828001, -1862991, -3311977?\n\"Answer: -206998*r**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*v + 334 = -1409 - 1137. Calculate the highest common factor of 495 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 16) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -24, -32, -52, -96, -176?\n\"Answer: -2*i**3 + 6*i**2 - 12*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, e: 2, c: 1, d: 4, h: 8, b: 2}. Give prob of sequence chdd.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-3*((sqrt(66) - (4*sqrt(66)*-2 + sqrt(66))) + sqrt(66)))\/((-2*sqrt(12))\/sqrt(2) + sqrt(24)*2).\nAnswer: -27*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -429822, -859642, -1289462, -1719282, -2149102, -2578922?\nAnswer: -3008742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13132 + 5320?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 5, m: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 2*z + 18 = 3*z, 4*o = 2*z - 10. Let y = 0.6 - 0.72. Let m = y + 0.12. Which is the biggest value? (a) o (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 73 in -7, -0.0861, -1?\nAnswer: -0.0861","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-6\/19))\/(c**(-2\/55)\/c))**(1\/24) assuming c is positive.\nAnswer: c**(899\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 10 + -32 + 23 + (-6 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) -2\/5 (c) 5688 (d) 4 (e) -4\/7 (f) 0 (g) 1284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2081160 and 4162320.\nAnswer: 4162320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 + 19. Suppose 0 = -f*c + c. Suppose c = d - 5*m - 20, -d + 3*m + 80 = 3*d. Solve -4*w = -0*w - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4392101510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96388420?\nAnswer: 2, 5, 163, 29567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l - 4. Suppose -5*g - 35 = -4*x, -4*x + x = 2*g + 37. Let b(v) = 2*v + 8. Let m(a) = g*n(a) - 6*b(a). Let z(r) = 5*r + 25. Give 25*m(p) + 4*z(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -25876, -25871, -25850, -25807, -25736?\n\"Answer: i**3 + 2*i**2 - 8*i - 25871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(525))\/(sqrt(24)\/sqrt(72) - sqrt(3)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2269622, -2269715, -2269808, -2269901, -2269994?\n\"Answer: -93*p - 2269529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 + 4*x**2 - 16*x - 19. Calculate the remainder when ((-104)\/(-65))\/(4\/30) is divided by h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1418.4 + -1331.4. Is f < -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*u = 4*u + 3960 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the third derivative of -8*i**5\/15 - 5*i**4\/24 - i**2 + 102. Let q(o) = 16*o**2 + 3*o. What is 6*n(t) + 10*q(t)?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*s - s + s)*(11*s**3 - s**3 + 20*s**3) in the form k*s + l*s**3 + c*s**4 + g*s**2 + y and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 5*o**3 - 8*o**2 - 14*o - 8. Let r(s) = 3*s**3 - 5*s**2 - 9*s - 5. Let j = -20 - -30. Suppose -2*u + j = -0. Give u*z(h) - 8*r(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*p + 4*p + 12*p + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 1 + 1 = 7, -76*a + 2*l + 14 = -75*a + 6*l + l for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 3\/2, 6, -0.52.\nAnswer: -0.52, -2\/9, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 199964 divided by 49991?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 4 + 1)*(-2*x**3 + 3*x**3 - 3*x**3) + (5 - 4 + 0)*(2*x**3 + 0 + 0) + (x - 7*x + x)*(0*x**2 - 3*x**2 + x**2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/(-1)*124\/8. Suppose -9*l = -322 + 43. What is the greatest common divisor of l and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -68 - -115. Suppose 2*c + y = 89. What is the remainder when 69 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4439 = 353*h + 48*h + 14408 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -41 (base 5) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3195, 11787, 26131, 46227, 72075?\nAnswer: 103675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*p**4 - 1737*p**3 - 38625*p**2 - 255411*p - 180492 = 0 for p.\nAnswer: -89, -13, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 151.9 + -0.7. Let s = -1.8 - p. Let f = -152.9901 - s. Round f to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/(-3))\/(1\/(-3)). Suppose -j*o = 4*o - 16. Let v be 6\/9*(o - -1). Solve -v*r - 3*r + 4*z - 16 = 0, -4*r - z = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes after 1:48 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 111, -723, -2115, -4065, -6573?\nAnswer: -9639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eyeggsogmgge. What is prob of sequence geye?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r = 6. What is the smallest common multiple of r and (-8 + 3)\/(1\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 251 a factor of 240771259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**2 + 6*m + 7. Let t be z(10). Let r be (-4)\/22 + 23325\/t. Does 6 divide r\/(-21) + 6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 3*x - 6 = 0. Suppose -x*s + 5*g - 1 = -26, 3*s - 12 = -g. Suppose 424 = s*i + 154. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/32 and 61\/6904.\nAnswer: 27616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 11 + (40 - 45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2703643385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70446 divided by -70446.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -4*q + 112. Suppose -13*a = 49 - 140. Let c(t) = t**3 - 6*t**2 - 2*t - 20. Let f be c(a). Calculate the greatest common factor of f and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2102122 + 110102221?\nAnswer: 101000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1375 - -4831\/3. Is 0 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4180 and 588999620?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z = -0*z. Suppose -14*h + 23 + 33 = z. Suppose 0 = -5*a + 2*i - h*i + 532, -a + 120 = -3*i. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12512 + 12513. Which is the nearest to y? (a) 1\/52 (b) -9 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are -448\/87 and 0.116 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3636 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 - 3*b - 8. Suppose 12 = -23*o + 25*o - 2*t, o - 6 = 3*t. Determine p(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 8 = 3*l - 13, -3*y + 13 = -l. Solve 4 - l = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 1, 2, 2\/7, -14, -5848?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes before 4:21 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 48*f - 17*f - 15*f as m*f + l and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -677268*g**3 + 2*g - 12 - 2*g + 677361*g**3.\nAnswer: 93*g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6905 and 30?\nAnswer: 41430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 59 + -17. Let h be 80\/n - (-2)\/21. Factor 1\/3*u + 4\/3*u**h - u**3 - 2\/3.\nAnswer: -(u - 1)**2*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -5308*p + 36. Let s(b) = -5307*b + 37. Let x(c) = -3*d(c) + 4*s(c). Let l be x(10). Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -85*z - 6*z - 728 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 9 + (-19 - 0) - -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.44 - 0.31. Let v = -0.87 - k. Let p = 261 - 1306\/5. What is the third biggest value in -11, v, p?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**3 - 151*b**2 - 743*b + 1045. Give s(-146).\nAnswer: 2943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.15 + 18.15. Let r = -323 - -340. Let f = k - r. What is the nearest to f in 5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (10 - 2)*1169\/14. Suppose 3*l = -d + f, 7*d - 3*d + 688 = 3*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 879*n**3 - 974*n**2 + 4*n - 12. Let q(t) = -879*t**3 + 974*t**2 - 3*t + 9. Let r(m) = -3*i(m) - 4*q(m). What is the third derivative of r(a) wrt a?\nAnswer: 5274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the third derivative of -j**5\/120 + 2*j**3\/3 + 4*j**2. Let t(w) be the first derivative of p(w). Let n(d) = -2*d. What is t(n(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of v**8\/48 - 2*v**5\/15 - 8*v**2. What is the third derivative of x(a) wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 9*r**3 + 2*r**2 + 50*r + 92. What is s(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of 4*i**3\/3 - 5*i + 2. Let v(y) = 51*y**2 - 66. Let w(s) = 27*c(s) - 2*v(s). Find the first derivative of w(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h - 1. Let r be o(3). Is 339*(r + 10\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(-3*g - g + g)*(153 - 229 + 173).\nAnswer: -291*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3 + -1 + -3 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 10 = -0*j. Let p(l) = l**3 + 3*l**2 - 2*l + 2. What is the remainder when p(j) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 - -3.5. Let r = -3.5 + n. What is the second biggest value in -0.4, r, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -171 = -5*r - 3*p + 23, -3*p + 114 = 3*r. Let x be -43 + r + 29201*3. What is x rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(3\/7))\/m**(-1\/8))**(-1\/34) assuming m is positive.\nAnswer: m**(-39\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**2 + 75*o + 347. Is m(41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3.993 and 4?\nAnswer: 15.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2513 divided by 7?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - (-20 - (-10 + (2 - 7) + 7)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 32 (base 7) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -2*o**3 - 3*o**2 + 3*o + 7. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 17*r - 3*r**2 + 0*r - 2*r - 12 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*c**3*v**2 + 44*c**3 + c**2*v**2 - 1024*c**2 + c*v + 7*c wrt c.\nAnswer: -42*v**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 AM and 4:04 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 5107, -2, -10, -5, 4, -1.\nAnswer: -10, -5, -2, -1, 4, 5107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -765597 + 107127. Round h to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12508 = 255*y - 43*y. Which is bigger: y or -63?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*j + 20 - 13 + 5*j with respect to j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -150, -113, -54, 27, 130, 255?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the second derivative of -d**3\/2 - 4*d. Let i(w) = 2*w. Give i(a(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of 0*m + 0*m**3 + 0*m**4 - 1\/15*m**6 + 1\/10*m**5 + 0 + 7*m**2. What is the third derivative of l(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 + 17. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (4*6\/5)\/(-36*47\/8460)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = -2*q - 5*t, 0 = -0*q + 3*q - t + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 3 + 9*s**3 + 3*s + s**4 - 6*s**3 + 2*s**2 to the form x*s**3 + w*s**4 + o + h*s + f*s**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 132657 and 94755?\nAnswer: 663285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 5*u - 9*u - 2*u + 7*u. Let x(p) be the third derivative of 5*p**4\/12 - 3*p**2. Give x(r(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 83, 339, 635, 845, 843, 503?\n\"Answer: -21*z**3 + 146*z**2 - 35*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 6340239.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.5 in 0.5, 101, -1, -2\/55, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange g**2 + g**3 - 16*g + 2*g + 6*g + 0*g + g to s*g**3 + i + o*g**2 + h*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 3*a - 6, -2*l + 3*a = 7*a - 20. Suppose 5 = r, -4*j = -2*r + 4*r - 26. Suppose -p + 3*p + 4*k - 18 = 0, 5*p = -j*k + 27. Solve l*n = 5 + p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 37, -24, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -67 + 61.49. Let i = n - -0.51. Let p = 112\/75 - 4\/25. Sort p, i, 0.3 in increasing order.\nAnswer: i, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -167932, -335879, -503826, -671773, -839720, -1007667?\n\"Answer: -167947*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the first derivative of -1\/2*a**4 - 25 - 10*a + 10\/3*a**3 + a**2. Factor t(q).\nAnswer: -2*(q - 5)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**2. Suppose -q = 4*q - 435. Let w(h) = -q*h + 7*h**2 + 87*h - 2*h**2. Determine w(l(y)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/((u**(-7)\/u)\/u)*u)\/((u\/(u**4\/u))\/u))\/(u**(-1\/18)\/u**(1\/9)) assuming u is positive.\nAnswer: u**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -254.0282 + 254. What is z rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4121*v - 4118*v - k = 28, -29*v + 5*k = -280 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 426\/(-1491) - (-220)\/(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 7, k: 2, b: 9}. Give prob of sequence baa.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 16, a: 4}. What is prob of picking 2 y?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -18, -27, -36, -45?\n\"Answer: -9*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqyq when four letters picked without replacement from qoqyooyoooqyo?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**4 + 1992400*a**3 + 3984806*a**2 + 1992404*a = 0. What is a?\nAnswer: -1, 0, 996202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**16*w*w*w)\/(w**12\/w*w) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-2)\/14 - 144\/(-945)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1292)\/(-2261)*((-3)\/24)\/(3\/(-9))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.72459201 to two decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -105523740 rounded to the nearest one hundred thousand?\nAnswer: -105500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109983*i**2 + 1984*i**3 - 109983*i**2.\nAnswer: 1984*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 13224 divided by -696?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 696 and 455088.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + (sqrt(6050)*-1)\/(sqrt(250) + sqrt(250) + (sqrt(250) - -2*sqrt(250)) + sqrt(250))).\nAnswer: 11*sqrt(5)\/15 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, h: 4, s: 4, m: 1, k: 1, x: 2}. What is prob of sequence sk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-245)\/(-21)*(-11 + (-588)\/(-60)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 5*o - 29 - 96, -4*m + o + 100 = 0. Let f = m - 18. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14628 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 10 = 2*y. Let i = -5 + y. Let m(r) = -4*r - r**2 - 5*r - 3 + 0*r + 8*r. Determine m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 332 - 687. Let k = -354.9999837 - r. What is k rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10238299?\nAnswer: 83, 293, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzzzg. Give prob of picking 1 g and 2 z.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-125)\/(-5) + 16\/(-16). Suppose 4*p + 66 - 6 = 0. Let s = p + k. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/650391 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 4*b = -36, -3*b + 158 = 4*f - 5*b. Suppose 170 = 3*j + s, -3*s + f = 2*j - 78. What is the highest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 6:05 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 406760, 404849, 402938, 401027, 399116, 397205?\n\"Answer: -1911*r + 408671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 + 1 + 749624*z**2 - 9 - 749625*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 50879 * 1.45.\nAnswer: 73774.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 2070 + 369 = 0. Suppose 7*p + 208 = x. Solve -60*s + 59*s = p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -9, 1, 17, 39, 67, 101?\n\"Answer: 3*k**2 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47520 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of -16*c**6\/3 + 75*c**2\/2 + 22. What is the second derivative of g(t) wrt t?\nAnswer: -640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-8)\/(-6))*1910\/8595\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.2 - 0.19. Let y = 0.34282 - 0.84282. Which is the second biggest value? (a) 1.9 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1787, 1783, 1779, 1775, 1771, 1767?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 105419300 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00047056 rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-520)\/(-65)*(-5)\/(-40)*188*(-4)\/(-8).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1675 - -2051. Calculate the highest common divisor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5 - 4 - 17 + (4 - 2 + 1)*(3 + 1 - 5))*(7 - 4*p**4 - 7) in the form g*p**4 + j*p + y*p**2 + s*p**3 + z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (54\/12)\/(2\/12). Suppose -3*z - p = -0*z. Let b(q) = 111*q - 674. Let f be b(6). Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, m: 1, f: 2, p: 2, l: 1, t: 1}. Give prob of sequence fld.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 351402574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 66 = -z, 5*s = -0*z - 4*z + 139. What is the remainder when s is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55641.\nAnswer: 3, 17, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -9 - 57. Calculate the highest common divisor of z and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 29\/5 of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 3:01 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(5\/(-25)*-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15955 + -15952. Let g(r) be the first derivative of -5\/6*r**6 - 20*r**a - 31 + 0*r - 6*r**5 - 65\/4*r**4 - 10*r**2. What is d in g(d) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from {o: 5, d: 4, j: 4, x: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (-44)\/16) + 2223\/7644?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4497 - 4496.999998157. What is x rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2130 + 894. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 103 and 56341.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2097 - -2099. Put -5, -4, u, -110 in decreasing order.\nAnswer: u, -4, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*s**2 + s**4 - 79*s + 3*s**3 + 2 + 1 + 79*s as c + d*s**3 + v*s**2 + h*s**4 + k*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48.1 - 48. Let p = -95 + 90. Which is the nearest to d? (a) -12 (b) p (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -553a2 + -947?\nAnswer: -56239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8935 = 6*n - 4019. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04764 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -101011101000 (base 2) to base 6\nAnswer: -20532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7683150315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at least as big as -28292\/50345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1712 and 1.447.\nAnswer: 2477.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from wwxwwxttwwsxtt?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 3 = -9. What is the third derivative of 3*k**2 + 7*k**3 + y*k**2 - 2*k**3 wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -51*y + 60. Let m be r(1). Solve 26 = -4*b - m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h - 5*h**2 - 2*h + 4*h + h**3. Let v be w(4). Suppose v*u - 6 = -3*u. Solve 0 = -r + 4*y - 15, 0 = -u*r - 0*y - 2*y + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -64\/103 + 8159\/1030. What is the common denominator of v and ((-89)\/(-48))\/((-1)\/2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(1\/(9 + -3)). Let h = a + 6. Which is bigger: h or -2\/27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 5*n + 65. Let u be y(-12). Suppose 4499 = 5*s - u*a - 576, -5*a = 4*s - 4105. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = -4*i + 23, 28 = -2*i + 7*i - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/7 + 7345*o**2\/7 + 393714*o\/7.\nAnswer: o*(o + 54)*(o + 7291)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -204*w**3 + 88*w**3 + 98*w**3 - 4*w**2 + 8*w**2. Let k(i) = -54*i**3 + 11*i**2. What is -11*h(b) + 4*k(b)?\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 5 = 5*q, 13*y + 37 = 16*y - 5*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3249152237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19911.9 - -19925. Let f = 34 - 47.1. Let n = q + f. Which is the second smallest value? (a) -5 (b) n (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the first derivative of 14\/15*x**3 + 3\/10*x**4 - 17 + 0*x - 6\/5*x**2. Find i such that z(i) = 0.\nAnswer: -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**4 + 2865*a**3 - 29022*a**2 - 69480*a = 0. Calculate a.\nAnswer: -965, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + 8*m**2 + 6*m. Let l(t) = -t**2 - t. Let w(c) = b(c) + 3*l(c). Let u be w(-4). Suppose u*i - 51 = -15. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the second derivative of -d**3\/3 - 2*d. Let m(u) be the second derivative of 0*u**2 + 2*u + 0 - 1\/6*u**4 + 0*u**3. Give m(w(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 15*v**2 - 6*v**3 - 15*v**2 + v**3 - v**3 - 3*v**3 + (4*v + v - 6*v)*(3*v**2 + 10*v - 10*v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1.15 (b) 0.3 (c) -4 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*q + 30 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -u**3\/3 - 2038*u**2\/3 + 3403*u - 4086 = 0.\nAnswer: -2043, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-30)\/(-3 + -27))\/(0 + (-1 - 2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -62.9 + 63. Put -0.1, -2\/5, s in increasing order.\nAnswer: -2\/5, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2*u + 2. Let g be p(3). Let z be 13*((-2)\/6)\/((-10)\/30)*-1. Which is the second smallest value? (a) g (b) 3 (c) z (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 - 81 = -5*n. Suppose -x = -n + 11. Let h(s) = -s**3 - 9*s**2 - 7*s + 3. Calculate h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9145985903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 2*u = -35, -16 = -b - 5*u + 12. Let z = b - 28. Suppose 6*p - z*f = 2*p + 12, -4*p = 5*f - 12. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 360 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 381 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 595 - -42. Is 49 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 6 = -4*o, f + 2 - 5 = -4*o. Let q be 5 + (-3)\/6*o. What is the highest common factor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.3, -5, -74, -0.33, -2202?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 1206.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6016129?\nAnswer: 7, 859447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + -7 - (-6)\/2. What is the common denominator of -58\/5 and u\/(-6) - (-175)\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 366 - 374. What is the nearest to -14 in l, -0.4, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*z - 25*j + 29*j, -4*j = 0. Let c(q) = q**2 - 8*q - 4. Let u(s) = s**2 - 8*s - 3. Let l(p) = 5*c(p) - 6*u(p). What is l(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*a**3*o*w + 55*a**3*o - 231591*a**3*w - 3*a**2*o*w - 237*a**2*o - 1595*a**2*w + 17*w wrt a.\nAnswer: -12*o*w + 330*o - 1389546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/40 and 71\/1716940.\nAnswer: 3433880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be 11\/((-660)\/(-468)) - (-23)\/115. Let h = -10 - -4. Sort -5, h, t in increasing order.\nAnswer: h, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - 121 + 141 = -u, -3*x + 5*u - 40 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -5*h**3 - 27*h**2 + 10*h - 1. Let p(a) = -2*a**3 - 9*a**2 + 3*a. Let l(g) = -8*p(g) + 3*r(g). Is l(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - c = 4 - 33, -2*o + 24 = -4*c. Suppose -o*f + 10 = -9*f. Solve k + 4 = 4*a, f*a + k + 4 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/130 and -101\/22?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -16*q**2. Let y(x) = 10*x**2 - 4*x. Let g(l) = 10*l**2 - 3*l. Let m(j) = -4*g(j) + 3*y(j). Calculate m(p(c)).\nAnswer: -2560*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -646534 by -15.\nAnswer: 646534\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18405 is divided by 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.26 - -1251.1154.\nAnswer: 1247.8554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 635 in 1\/8, 167\/4, 0.2, 3?\nAnswer: 167\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-12312)\/56430*20\/6\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 931001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zxxl when four letters picked without replacement from zsxxsxxxkkkzlxxkkx.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and -3557163?\nAnswer: -3557163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = r - 10, -4*r + 3*r + 5*v - 25 = 0. Let m = 2 - 2. Suppose -4*w + r*w - 12000000 = m. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 8, 27, 44, 59, 72, 83?\n\"Answer: -x**2 + 22*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/c**(1\/3))\/c)**(-5\/4))**(-2) assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 4*t**3 - 2*t**2 - 10*t + 10. Let l be v(1). Let b = 41 - 24. Solve -o + b = l*o - 4*k, k = -4*o + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t - 41. Let d(m) = m + 20. Determine -5*d(l) - 2*y(l).\nAnswer: -l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1911)*-2*-1)\/(4*sqrt(36)\/sqrt(3)))**2*-2.\nAnswer: -637\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69 + 5420\/80)*(-2)\/(-55)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 3*b - 6 = 0, -2*b - 2*b = 2*l - 4. Let i be (-3)\/(-2)*(-20)\/(-6). Let w(z) = -l*z + i*z - 5*z. Let t(p) = 3*p**2. Calculate t(w(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (119\/(-6))\/7 + -1 + (1 - -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21307 = 25*c - 45825 - 47807. What is the greatest common divisor of c and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -3570*u + 55217. What is t(18)?\nAnswer: -9043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7478612 a multiple of 1262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22848 and 266112?\nAnswer: 4523904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -837*p - 18353. What is a(-22)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is next in -153, -168, -209, -288, -417?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 517 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k*k*k**0)*k**(-1)*k**(-4)\/(k*k*k**(-4\/5))*((k\/(((k*(k**1*k)\/k)\/k)\/k))**(-42))**(-2\/89) assuming k is positive.\nAnswer: k**(-2784\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5854 - 4?\nAnswer: -5858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7200 - 7209. Let t(d) = -d**2 - 11*d - 17. What is t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2026, -4103, -6180?\n\"Answer: -2077*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a + 4. Let t(z) = 5*z - 1. Let i(p) = r(p) + 2*t(p). Give i(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 + 403*c**2 + 822*c + 9. What is g(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 119946191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 - 9*p - 52. Let x be c(13). Solve -15*q - 45 = -x*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 633 - 3824*w**2 + 7659*w**2 - 3839*w**2 as m*w**2 + h + k*w and give h.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - 24 - (-1458 + 1455)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*r - 2*r - 2*r + (-5 - 4 + 3)*(-2*r + 4*r - r) + 9*r + 87 + 69 - 186 + 73.\nAnswer: 7*r + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20469, 29934, 39399?\nAnswer: 48864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 5 + -1*sqrt(325) + 4 - ((sqrt(143) - sqrt(143)*3*-4) + sqrt(143))\/(sqrt(11) + sqrt(132)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: -144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -5*w - 5*l + 19, 4*l = w - 17. Suppose w*i + 15 = 2*i. Let h(p) = 8*p**2 - 5*p - p**3 - 29*p**2 + 16*p**2 + 6*p. Calculate h(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12\/(-10))\/2 - 21\/(-21). Let u be (-43)\/43 + 2\/(-9)*-6. Which is the smallest value? (a) u (b) -0.8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-18)*945\/42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of n**3\/6 - 10832*n. Let o(m) = 4*m**2 - 90*m - 1. Determine x(o(v)).\nAnswer: 4*v**2 - 90*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16546.3059 + 16547. What is g rounded to 2 decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -53*h**2 - h. Let q(a) = -713*a. Determine q(o(d)).\nAnswer: 37789*d**2 + 713*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 47*g - 36*g - 9614. What are the prime factors of g?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from {t: 7, h: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*b + 3*t - 10, b + 5*t - 18 = 0. Let q = -7 - -7. Let n be -2 + 2 + q + 1. Sort -2, b, n in descending order.\nAnswer: b, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*k**4 - 6*k**4 + 4*k**6 + 3*k**2 - 2*k**2 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 4*s - 17. Let w(z) = z. Give w(n(f)).\nAnswer: 4*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i*i**14*i**9*(i*i**(-7))**(1\/10) assuming i is positive.\nAnswer: i**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 8283 by 6.\nAnswer: 2761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68)\/(sqrt(4) - (sqrt(4) + 3*sqrt(36)))*3.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 725.\nAnswer: 3\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1674027 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of -63\/2*j**2 - 6*j + 18 - 59*j**3 - 45\/4*j**4 + 15*j**5. Factor k(l).\nAnswer: 3*(l - 2)*(l + 1)*(5*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -52 + 52. Suppose -5*y + 5*o = -4*y, 5*y - o = j. Which is bigger: 3\/49 or y?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**(-1\/17))\/g)\/g)\/g**(-6)*g*g**(-5\/7)*g*g**(7\/4)*g assuming g is positive.\nAnswer: g**(4273\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -3*o - 5. Let q be c(-6). Let j = q + -8. Let x(f) = 1 + f - j*f - 1. Let l(n) = -2*n**2. Calculate x(l(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 5:15 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/((j*(j*j**22)\/j)\/j))\/j)\/j)\/(j\/j**(1\/25)) assuming j is positive.\nAnswer: j**(-599\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (-3 - 4) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -531, -889, -1249, -1611, -1975, -2341?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 131 (b) -2553 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1793931 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 64491.7594 times 1\nAnswer: 64491.7594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -20 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*a**3 + a**3 - 4*a**2 + 15*a**3 + 12*a**3 + 19*a**3 + 5*a**3.\nAnswer: 21*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 615067684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-21)\/(-14)*116\/2. Suppose -3*q + 50 + 25 = 0. Suppose f + q = d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 5) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 + 2 - 11*-1. Let r = z + -4. Solve -4*f = -r*n - 32, 0*f - 25 = -3*f + 4*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1253, 1640, 2237, 3038, 4037, 5228, 6605?\n\"Answer: -a**3 + 111*a**2 + 61*a + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-4))\/(9\/36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 161 by 204.\nAnswer: 161\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of 25\/2*k**3 + 0*k**6 + 0*k**5 + 5\/24*k**4 + 1\/70*k**7 + 0*k + 0 - 72*k**2. What is the first derivative of b(o) wrt o?\nAnswer: 12*o**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -90668\/45 - -18148\/9. Let n(f) be the first derivative of -y*f**5 - 41 + 5*f**2 - 2*f**4 + 4*f + 4\/3*f**3 - 1\/3*f**6. Factor n(w).\nAnswer: -2*(w - 1)*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*q - 28*q - 144. What is the remainder when q is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 571784 and 1160?\nAnswer: 82908680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.49 - 18132.\nAnswer: -18131.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 6:17 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence etaa when four letters picked without replacement from {e: 3, t: 5, a: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-627*w + 36774 - 36774)*(-7*w - w - 2*w) as q*w + u + b*w**2 and give b.\nAnswer: 6270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + -8 - (-20 + 28).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -7*q + 46. Let w be g(19). Let n = w + 91. Solve -n*f + 7*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 32*g**3 + g**3 + 1 - 12*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(16\/(-212)) + -1. Let u = -49 + b. Solve -4*h + 4*x = 16, -5*x - 20 = 2*h + u*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of 1\/54*i**4 + 0*i**3 + 3 - 4\/9*i**2 + i. Let t(m) be the first derivative of j(m). Factor t(g).\nAnswer: 2*(g - 2)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.18263 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y = 16*y + 1920. Let v = 234 + y. Sort v, -4, -3.\nAnswer: v, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-56)\/(-35) - (-783)\/(-480))*(-4)\/3. Let n(l) be the third derivative of 0*l**5 + i*l**4 + 0*l + 0*l**3 + 0 - 1\/480*l**6 - 43*l**2. Factor n(a).\nAnswer: -a*(a - 2)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 6*f**2 - 30*f - 108. Let w be g(-5). Solve w*s - 36 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -45*z + 109. Let n = 390 + -403. Is j(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 1, a: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {c: 1, q: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 78 and 789.\nAnswer: 20514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 22503989 and 1493.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*c - 8*c + 3*c + 7*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*i - 268081 - 3*i**3 + 268081)*(5*i - i - i) - 4 + 4 + 5*i**4.\nAnswer: -4*i**4 - 114*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 + 7*r**2 - 3*r + 12. What is the lowest common multiple of a(-7) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:59 AM and 9:23 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 114 divide 2085794502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -7, -28, -61, -106, -163?\n\"Answer: -6*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 324044.\nAnswer: 2, 7, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4486*s**4 + s**3 - 4461.\nAnswer: -17944*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, 7, -4 in ascending order.\nAnswer: -4, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/12 and -59\/134359560.\nAnswer: 134359560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -36, -2, -5, 0 in descending order.\nAnswer: 0, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 178382 is divided by 177067.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-5)\/3 + ((-449580)\/(-1143) - 282)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n*n**0*n*n)**43*n**(-2\/3)*n**(1\/7) assuming n is positive.\nAnswer: n**(4504\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 3*v = 5*u - 29, -3*u + 25 = 2*v. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-40)\/30)\/((-2)\/12). Let g(s) = -s**3 - s**2 - s + 40. Let v be g(0). Let m be (1 - 2 - -1) + v. Calculate the highest common divisor of b and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.84*-18080.\nAnswer: -15187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3*h**2 + 4 + (h - 2*h**2 - h)*(-4 + 2 + 4))*(3*h**2 - 3*h**2 + 2*h**2)*(h + 2 - 2).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 43 and 5461?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/5 - 25455356*p\/5 + 161993787271684\/5.\nAnswer: (p - 12727678)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 606 + -280. Suppose 4*u - u - 496 = -4*t, -2*u + 2*t = -b. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 2:32 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 4. Is 14 a factor of -4*(-1)\/c - -21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 531 - 427. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (6*(sqrt(117) + (sqrt(117)*3 - sqrt(117) - sqrt(117))) + sqrt(117))) - sqrt(117))\/(5*sqrt(9)*-3)*-2.\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/6)\/(33\/(-36)*72\/(-176))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3208, -6094, -8980, -11866, -14752?\n\"Answer: -2886*l - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*k = -70 + 375. Solve 2 = q + 3*l, -4*l - 14 = -3*q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2798236131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 806639 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/10)\/((-5)\/(-125)). Let t = -6 + z. Calculate the lowest common multiple of 14 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7704*w = -15608*w + 7756*w - 22200 for w.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 - 4*v + 4. Let l be f(3). Let n = -9 - l. Let s(c) = c - 6. Let u be s(n). Solve -b + 5*w = -8 + u, 0 = -5*b - 5*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.14 - -0.16. Put 0.1, y, -3\/5 in increasing order.\nAnswer: -3\/5, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/5? (a) -0.1 (b) -18\/19 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -4*o**3 - 5*o**2 - 23*o - 44. Suppose -3*f - m - 3 = -2*f, -2*m = -8. What is the thousands digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7464543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 273436781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3020700591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-287)\/(-224))\/41*8. Solve 1\/2 - 1\/4*n**3 + c*n**4 - 3\/4*n**2 + 1\/4*n = 0 for n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - 19*x - 19. Calculate j(21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 421 divide 6525500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-18)\/(-4) + (-2)\/4. Let j(a) = -a - 3. Let r be j(-5). Let l be ((-3)\/3)\/((-1)\/r). Solve -h*w + 3*f = 15, l*f - 10 = -0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 1:03 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 20 = -253*n + 252*n, n + 16 = -3*q. Let u = -0.8 + 1. What is the closest to n in u, -2\/3, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 111 - 20?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 167908627 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -25, -80, -135, -190?\n\"Answer: -55*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*z - 4524 + 4524.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 21 - 12. Let n = c + -14. Let v(k) = k + 10. Determine v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 166316 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 5, n: 4, q: 3}. Give prob of sequence qt.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 4*k**2 - 15*k + 24. Let d be y(5). Let x = 61 - d. Calculate the remainder when 83 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.2136 + -2.1236. Which is smaller: q or -6.3?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 51*i**3 - 101*i**2 + 49*i + 1.\nAnswer: (i - 1)**2*(51*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 11:14 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b3649 (base 14) to base 16\nAnswer: 697b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -5*v + 24, 0*q - 2*q - 4 = 0. Find the first derivative of -70 + 9*s**v - 2*s**4 + 27 + 6*s**2 - 12*s**2 wrt s.\nAnswer: 28*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*o**2 + 0*o + 0.\nAnswer: -o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -27705387 - 0.3\nAnswer: -27705387.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 92758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121858941.\nAnswer: 3, 17, 2389391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 265 + -137. Suppose -5*d + 152 = -l. What is the remainder when d is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000786639 rounded to 6 decimal places?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0384 minus -374212?\nAnswer: 374211.9616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 4:35 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5658049 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 578 + 4*r**2 + 11*r**2 - 12*r**2 - 578.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b + 5. Let j be d(6). Let t be 13\/21 - (-1)\/(-3). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 218 + -216. Let p = 6.5 + -5.99. Let s = p + -0.41. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 173*j**3 - 5*j**3 + 15*j**3 + (0*j**2 + 2*j**2 + 0*j**2)*(4*j + 2*j - 4*j).\nAnswer: 187*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 - 3*t + 2. Let z(m) be the second derivative of -m**4\/12 - 5*m**3\/6 + 2*m**2 - 21*m - 4. Give 7*j(p) - 4*z(p).\nAnswer: -3*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.15, 1\/7.\nAnswer: -0.15, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-127935)\/(-15336) + -9 - (-4)\/6. Let i = c + 1121\/1704. Factor 2\/3*z**4 - i*z + 2\/3*z**3 + 4\/3 - 2*z**2.\nAnswer: 2*(z - 1)**2*(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -1333*i**3 + 2670*i**2 + 6*i - 26. Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 12. Which is the second smallest value? (a) p (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 881523946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/1386*3*(281\/1124)\/(1\/12)?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be -61*(0 - -1) - 1. Let j(h) = -72*h - 3. Let w be j(-2). Let y = w + b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*u + 16 - 36 = 0. Solve 4*d + u*k - 2 = 0, 4*d - k = -4*k + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201210101 - 11?\nAnswer: -201210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.999 - -0.699. Which is the closest to 0? (a) 4 (b) u (c) 1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96838836073 - 96838836073 - 17*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 194 + -116. Let v = z - 29. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1202002111 (base 3) to base 5.\nAnswer: 2044310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 238202977 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10372?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5380715.\nAnswer: 5, 1076143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -174*p**2 - 3655*p - 54. Calculate n(-21).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14 + -15. Put l, -16, 3 in increasing order.\nAnswer: -16, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/14 (b) 2.08 (c) -3 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/497260 and 13\/174041?\nAnswer: 3480820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3\/5 - 7\/20. Calculate the common denominator of 1\/12 - (10 - 173\/15) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 6. Suppose 81 = 4*z - f*z - 3*g, -84 = -5*z - 2*g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 218276177 a multiple of 1399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11331, 87855, 295563, 700047, 1366899, 2361711, 3750075, 5597583?\nAnswer: 7969827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 943 a factor of 64091938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tty when three letters picked without replacement from ttyyyytytyy?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 - f. Let j be v(-1). Let a be 7\/j - (-6)\/(-12). What is the third smallest value in 1, a, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/11 <= -346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-17)\/g**(-2\/21)*(g*g**(-5))**(12\/5))**(-1\/9) assuming g is positive.\nAnswer: g**(2783\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 622531039 - 0.2?\nAnswer: 622531038.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5243360 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00006833 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.05, -1, 4, 2\/5, 97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -52 + 7. Let g = h - -48. Suppose -8 = -f - g*f. Solve -s + 2*q = 5 - 4, 2*s = f*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -8430, -33932, -76410, -135864, -212294, -305700?\n\"Answer: -8488*c**2 - 38*c + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -211.413 - 14.8927\nAnswer: -226.3057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 6:38 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 136*t + 3*t**2 - 136*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -2*m**3 - m. Let z be c(-1). Suppose -z*s = 6 + 3. Suppose 4*o + 5 = -o. Sort o, 0, s.\nAnswer: s, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2591209215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - 4*b + (0*b - 4*b + 3*b)*(-3 + 4 + 2) - b + 0 + 0 + (b + 0*b + b)*(-6 + 3 + 4) - 3*b - b + 8*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**2 + 13*h + 15. Let n be t(15). Let l = n - -41. Suppose z = -z - 4*r + l, 3*z - 49 = 4*r. Which is smaller: z or 17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12891018513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 0.2 (b) -58\/89 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -119162*b**2 + 5119*b + 2.\nAnswer: -238324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -3\/8, -2, 924?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1.03*-328.38\nAnswer: -338.2314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 109521\/3396*(16\/10)\/((-3)\/5).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000034094872 rounded to 7 decimal places?\nAnswer: -0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3 (c) 2 (d) -6\/55 (e) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -1\/8*k**4 - 1\/2*k**3 + 0 + 2*k**2 + 0*k - 1\/30*k**5. Let h(c) = 3*c**2 + 4*c + 4. Calculate -3*h(m) - 4*l(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 2*n + 2*a - 14, -2*a + 22 = 4*n. Let r be (10\/5)\/(2\/11). Suppose -5*c = -3*c + 4, -r = -w - c. Solve 5*x = 3*u + w, 5*u + 5 + n = 2*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - -1*12\/4. Let g(i) be the third derivative of -i**4\/24 - 380*i**2 - i. Let h(j) = 0*j + 1 + 0*j + 3*j. Give q*g(b) + h(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a + 3. Let w(b) = b**2 - 4*b - 2. Let c be w(5). Suppose 3*x - 42 = 6. Calculate the lowest common multiple of k(c) and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7325071 millilitres in litres?\nAnswer: 0.0007325071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 67965.201us?\nAnswer: 0.0000188792225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -4469584 (base 10) to base 15.\nAnswer: -5d44c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*v + 4*w, 3*w = -4*v - w + 20. Let s(d) = -2*d + 6. Let n(c) = -7*c + 17*c + 0 - 9*c - 1. What is v*n(y) + s(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -685.5 - -310. Let c = 300 + x. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + -2 + sqrt(5) + -4 + 4)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, -5025, 4 in descending order.\nAnswer: 4, 2, -1, -5025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2 (b) 3\/4 (c) 2\/15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -74 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -z**6\/10 + 3*z**5\/20 + 2*z**4 - 6*z**3 - 1810*z. Factor t(k).\nAnswer: -3*k*(k - 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28 times 122925?\nAnswer: 3441900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-32708)\/(-4403)*(-14)\/(-4). Solve 0 = u - 3*n + 4, 2*n = 37*u - 41*u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -17 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -99\/4, -2\/7, -0.01 in ascending order.\nAnswer: -99\/4, -2\/7, -0.01, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 51*i**5*q - 2*i**3*q**3 + 23*i**2 - i - 2796*q**3 wrt i.\nAnswer: 1020*i**3*q - 12*i*q**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 2*w = 31, -u + 16 = -6*u + 3*w. Let i be (12\/u)\/((-10)\/75). Suppose 2*v = v + i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.59654 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -15*d + 1. Let y be j(-1). Let t = y + -5. What is the remainder when (-1 + (-23)\/(-3))*3 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17104*y + 17056*y - 51223*y + 17061*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -51 (base 16) to base 7.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 2*h + 0*h - 50 = 0, 3*w = -5*h - 49. Let f(j) = -j**2 - 7*j + 3. Let p be f(w). Let v = p + 8. Solve v*b - 4 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 482*z + 10 - 2 + 374*z - 6 - 83*z to the form b + c*z and give c.\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-972)\/2268*4\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -291059\/24 + 12125. What is the common denominator of r and 16\/7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve y = 11*y - 202 - 170 + 112 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 49*b**2 + 2*b - 16*b**2 - 231 + 239 - 6*b wrt b.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-12)\/9)\/(5\/(-15)). Differentiate 25*n**4 + 38*n**t - 54*n**4 + 13 wrt n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -11353599?\nAnswer: 5\/11353599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from xxdxxxxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 67 + -38. Let y = f - 57\/2. Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 152\/(-6) - (-9)\/27. Suppose 3*n - 3*f = 0, -4*f - 14 = -0*n + 3*n. Is 23 a factor of (3 + -4)*r + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -14*j**2. Let u(f) = -1168190*f. Calculate c(u(v)).\nAnswer: -19105350265400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1\/3 + (-10)\/3 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -76697 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92353610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -4835*u + 397. Let b be f(1). Which is smaller: -4437 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 7*o**2 + 6*o + 6. Let b(i) be the second derivative of -i**4\/12 - i**3\/6 - i**2\/2 - 109*i. What is 6*b(k) + x(k)?\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(1\/2)\/(h**(7\/5)\/h)*h*h**(-2)*h*h**(2\/7) assuming h is positive.\nAnswer: h**(27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1130181, 4520721, 10171623, 18082887?\n\"Answer: 1130181*n**2 - 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -135 by 5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + 1 + 3 + 9 + -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 96323032 to the nearest integer?\nAnswer: 9814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**2 - 779*i - 69. Let w(n) = -194*n - 19. Let j(x) = 3*l(x) - 11*w(x). Let u(h) = h. Give u(j(p)).\nAnswer: 3*p**2 - 203*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1719 - -1.8281. What is the closest to 2\/411 in 0.2, 5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**3 + 5*s**2 - 4*s - 7. Let z(i) = i**2 + 1. Let m be z(-1). Suppose m*r + 5 = -5. Determine v(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -445 - -464. Calculate the remainder when 244 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0806 + -0.10054. Let k = 0.09 - 0.07. Let h = k + t. What is h rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 766 is divided by 269?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -19. Suppose 842*u - 51*u + 3955 = 0. What is the smallest value in 1, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5*s**2 - 2047 + 128*s**4 - 5*s**2 + 1835 wrt s.\nAnswer: 512*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/7 and (-3)\/(-1) - (-5 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 2*t + 348. Let i(m) = 281*m**2 + 8. What is f(i(l))?\nAnswer: 562*l**2 + 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21 - 3*p + 3*p + 9*p**2 + 20 + 0*p to g + s*p + k*p**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -290946914.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, y: 1, c: 4, l: 6, m: 2}. Give prob of picking 1 c, 1 y, and 1 m.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 8\/3*y - 2\/3*y**2 - 8\/3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 minus 168835367.37852?\nAnswer: -168835390.37852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) -2 (b) -5\/23 (c) 6 (d) 2\/5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(2736))**2*-5.\nAnswer: -54720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-3 + 3 + (sqrt(3) - sqrt(6)\/sqrt(2))) + 5 + (0 + (sqrt(192) + 1)*-1)*4)**2.\nAnswer: -64*sqrt(3) + 3073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -342 + 354. Solve 10*m - 7*m - h = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 1074*a + 29002. Determine b(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 57 + 48. Suppose -2*t - 3*t = n. Let p(r) = 17*r**2 + 6*r. Is p(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11463? (a) 5 (b) -5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 12, -2, -36, -96, -188?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-314)\/(-10) - 42\/105. Suppose 7*t - y + 136 = 0. Let b(a) = -a**3 - 14*a**2 + 14*a - 8. Give b(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.35 and 202?\nAnswer: 272.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 3. Let c(f) = -14*f + 9. Let r(o) = 2*c(o) - 6*m(o). Let j(b) = -5*b. Give j(r(y)).\nAnswer: 140*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) 4 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.5, -114989, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, 0.5, -114989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, b: 1, g: 2, x: 3, d: 3, t: 7}. Give prob of sequence pbd.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-438 + (-11 - -18))*-1*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -151 - -283. Let p be (-3)\/2 + d\/8. Solve -z + 4*j = -p, -3*z + 2*z + 5*j + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 787448 is divided by 469?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 379239.96 to the nearest 1000.\nAnswer: 379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 + x**2 + (-3*x + 0*x + x)*(-16 - 52 + 3)*(0 + 2*x + 0).\nAnswer: 261*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/2)\/(-1)*48*13\/(-416)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-39)\/3)\/(((4\/(-1))\/(-1))\/((-664)\/166))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 98188, 196390, 294606, 392836, 491080, 589338?\n\"Answer: 7*r**2 + 98181*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 71938 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2.2 (b) -0.02 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1458284785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 26 = -0*z. Suppose -49 = -2*u - z. Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in 5*f**4 - 285*f**3 - 1835*f**2 - 3435*f - 1890 = 0?\nAnswer: -3, -2, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 10*d - d**3 + 2 - 53*d**2 - 11*d + 19*d in the form i*d + j + t*d**3 + b*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 401425 (base 6) to base 15\nAnswer: 94db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -41. Let u = q - -17.5. Let s = u - -2.49989. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83734 is divided by 35078?\nAnswer: 13578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the second derivative of x**5\/40 - x**4\/6 - 7*x**3\/4 + 2*x - 254. Solve y(l) = 0.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + -5)\/((-3)\/(-878)). Let a be ((-207)\/(-12))\/((-33)\/(-3740)). Let s = a - v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -187*o = -172*o - 9030. Is 73 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d - 8*d**2 + 55*d**4 + 7*d**2 - 2*d - d to k*d**3 + w*d**4 + g*d + h*d**2 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -6663.738208 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of f**7\/189 + f**6\/15 - 7*f**5\/90 - 19*f**4\/18 + 2*f**3 - 3*f - 219. Solve h(z) = 0.\nAnswer: -9, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 219 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**9*f*f*f*(f\/f**(-20))\/f*f)\/(((f\/f**(-7))\/f)\/(f**(-13)*f)) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 65895049*r**6 - 9*r**2 - 2864*r + 3?\nAnswer: 7907405880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6261\/7 - -898. Suppose 4*l = -11*l + 465. Calculate the common denominator of t and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.337175065 rounded to 5 dps?\nAnswer: -0.33718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*a**5 - 980*a**2 + 269*a**5 + 2470*a**3 + 502*a - 382*a - 1855*a**4 = 0. Calculate a.\nAnswer: 0, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3\/8 - 483*k**2\/8 - 6267*k\/8 + 6747\/8.\nAnswer: 3*(k - 173)*(k - 1)*(k + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -230 + 129. Let o = -92 - f. Let m = o - 13. Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-5) - (-7)\/(-5). Let h be (-11)\/g + (-3)\/(-2). Are 7 and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**2 - 2*p + 2. Let o(j) = 3*j**2 + 2*j - 3. Let u(f) = 5*b(f) + 4*o(f). Let l be u(4). What is the highest common factor of 242 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-66)\/21780*22)\/(21\/10)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of -k**7\/6 - 3*k**5\/4 + 10*k**3\/3 - 2*k**2 + 2*k + 32. Find the second derivative of n(o) wrt o.\nAnswer: -140*o**3 - 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 11:41 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -108*-3.68\nAnswer: 397.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 17*y**2 + 6*y - 6. Let t(n) = 19*n**2 + 7*n - 7. Let j(h) = 6*t(h) - 7*u(h). Let x(z) = -150*z**2. Determine x(j(f)).\nAnswer: -3750*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 506.6555 minus 0.586?\nAnswer: 506.0695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2119 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jhjj when four letters picked without replacement from jhjhhhhjhjhhhhhhhh?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 369*f = 184*f + 199*f - 47278. List the prime factors of f.\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = 2*x - 3*x - 4, -5*z = 3*x + 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of 37*r**4\/8 - 69*r**3\/2 + 3*r**2 + 4*r. Is z(5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -k - 0. What is the first derivative of g**2 + 0 - g**k + 5*g**3 + 2 wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (-1)\/3*-3) + (-113)\/226?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11650 - 16*o**2 - 11650.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of -f**3\/6 + 7*f + 10. Let v(y) be the first derivative of j(y). Let w(k) = 7*k**2 - 2*k**2 - k**2. What is v(w(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 + 11\/5)*5. Let x(s) = s - 1 + 2*s - 3 + 2. Is 15 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 - ((-23 - -24) + -14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 1, 4, -1 in ascending order.\nAnswer: -9, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9998 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is b in -2*b**2\/7 + 2674502*b\/7 - 5348996\/7 = 0?\nAnswer: 2, 1337249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -4199 divided by 5\nAnswer: -4199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 271169848, 271169847, 271169846?\nAnswer: 271169845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 378 - 248. What is the remainder when 791 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.280999 and -0.15.\nAnswer: -1.430999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*m - 3*z + 59 = 0, -19*m - 47 = -6*m - 23*m + z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l + l + 0*l)*(-1 - 4 + 1) - l + 0*l + 0*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112*n + 5*s + 28 = 110*n, 5*n - s = -70. Let t(j) = 157*j**2 + 4*j + 3. Let k be t(-3). List the prime factors of (-3)\/((-21)\/(-2)) - k\/n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 8*j + 137. Let c be k(-17). Let b(v) = 56999*v**3 - v**2 + 6*v - 4. Let s be b(c). What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -90\/6745981 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 3 = 0, -s - 29 = -3*b - 0*s. Let z(a) = -2*a + b*a + 3*a. Calculate the remainder when z(5) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of -62*f**5\/5 + f**3\/3 + 5*f - 9. Find the third derivative of d(y) wrt y.\nAnswer: -1488*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 45 - 245. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 51510175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (5 + -13 - -3 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6*(115\/(-20) + 6). Sort 2\/3, -24, d.\nAnswer: -24, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5715760, -45725980, -154325130, -365807674, -714468076, -1234600800, -1960500310?\n\"Answer: -5715744*y**3 - y**2 - 9*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1460 and 50005?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2. Let d(v) = -v + 2*v + 0*v + 11*v. Give d(t(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 8*j + 13. Calculate f(-12).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16435667 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -0.1, 0.4, 3, 23948?\nAnswer: 23948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 116*r - 616. Let c be n(6). Solve b + 19*b = c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 + -1 - 2)\/(60\/(-2310)). Suppose -3*j + 4*i = -1652, 3*j - v*i = -78*i + 1672. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 + -70. Let c be (u\/6 - -5)*6\/(-1). Determine a so that 0 + 3\/5*a**c + 0*a - 6\/5*a**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t\/t**(-2)*t\/(((t\/t**11)\/t)\/t))\/(t**(-8\/3)\/t**(-2\/15)))**(-9) assuming t is positive.\nAnswer: t**(-879\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1182*m + 2499*m - 1310*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 1335552 = 25375466\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -980*z + 32221 + 54999 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 8 - (-1 - 2 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*l - 24*l = 576. Let x = 216 + l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/6 and 51\/103?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0832*-28.\nAnswer: 2.3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -13*t**2 - 76*t - 52. Let z be g(-5). Put 236, 2, -2, -5, z in decreasing order.\nAnswer: 236, z, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2338360 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1765573 - 815573. What is w rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 + 28. Let m(s) = -w + 6*s + 4 + 0*s**2 - 3*s**2 + 4*s**2. Let y be 15\/25 + 33\/(-5). Calculate m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 967660 is divided by 120951.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p + 6. Let n(j) = -7. Let o(c) = -c. Let f(i) = -n(i) - 3*o(i). What is -4*f(b) + 5*l(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -68.4, 0.4, 0.6 in ascending order.\nAnswer: -68.4, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of -v**4\/24 + 2*v**3\/3 + 7*v**2. Let p(k) = -15*k + 25*k - 16*k + 19. Let a(b) = 11*g(b) - 2*p(b). Calculate a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2805 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of -8*i**3\/3 - i**2\/2 - 12. Find the second derivative of v(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1513717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1444453696 divided by 32?\nAnswer: -45139178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**2 + 5*g + 6. Let a be x(-4). Suppose -4*k + 123 = c, -5*k = c - a*k - 124. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of u**3 - 5*u**2\/2 + 353*u. Suppose -3*g = -2*p + 19, -2*p - 1 = -g - 14. Let n(q) = 9*q - 8. Calculate p*n(s) - 8*b(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of -g**5\/300 + g**4\/120 + 178*g**2. Factor o(x).\nAnswer: -x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - n - 15. Let y be o(0). Let m = y - -35. Suppose -s + 0*s + 35 = 5*i, -5*s = -i - 253. What is the highest common divisor of s and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 1444*k**2. Let b(o) = 11*o + 354. Give b(d(y)).\nAnswer: 15884*y**2 + 354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 240 = -63. Let o = -15 + 23. Let z = o + 12. What is the remainder when f is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (32\/(-80))\/(7\/140)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 413 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -144411233 (base 5) to base 11.\nAnswer: -492260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-630)\/63*(-1 + 1\/(-2)). Let r be 1\/((-10)\/z + 1). Solve -p - 2 = -r*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4 + (-123)\/3 + 4. Let y = o + 32. Let g be 14\/(-105) - y\/3. Is g bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1671 is divided by 746?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/(-105))\/(2\/10). Let a be (-2)\/(21\/(9\/(-3))). Factor p*h**2 + a - 4\/7*h.\nAnswer: 2*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9631514749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16 - 5. Let s = u - -27. Suppose 230 = -w + s*w. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 65 * -0.056\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14175953 divided by -1.\nAnswer: -14175953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -32460 = 557*s + 9315 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 345 - 316. Is o != 375\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 44 = -469. Suppose i - 103 = -4*w, -4*i - n = -5*i + 5*w. Suppose -10 + i = 5*p. What is the remainder when 49 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -44340 by -22170.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10 - -2)*72\/(-192). Solve o - 3*d = 2 - f, 5*o + 4*d = 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 2*h**2 + 14*h + 18. List the prime factors of j(-10).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*u**2 + 2*u**2 - u**2 + u**2 - 4 + 4 + (3 - 2 + 1)*(-3*u**2 + u**2 + u**2))*(-4*u**2 - 17 + 17).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -313, -10251 in decreasing order.\nAnswer: 3, -313, -10251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/57 (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -7*t**2 + 2*t + 11. Let s(u) = 11*u**2 - 3*u - 17. Let g(v) = -8*q(v) - 5*s(v). What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -141, -411, -807, -1329, -1977, -2751, -3651?\n\"Answer: -63*u**2 - 81*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 454922779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 11 + (6 + -3 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 - 25. Suppose 0 = -4*g + g - 315. Let c be (-116)\/(-30) + (-14)\/g. Solve 2*w + v - c = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 - -53. Which is the third smallest value? (a) 1\/4 (b) 8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 0.73.\nAnswer: -0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -94, -79, -60, -37, -10, 21?\n\"Answer: 2*t**2 + 9*t - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**2\/3 - 268052*o\/3 + 8981484338\/3.\nAnswer: 2*(o - 67013)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 411353 is divided by 133.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 4*y + 2. Let j be d(1). Suppose 3 = -m - 3*c, m - 2*c = j*m - 11. Calculate the remainder when m is divided by ((-2)\/8)\/((-2)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**6*o - 227*l**5 + 6*l**2*o + 2*l*o wrt l?\nAnswer: 240*l**3*o - 13620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 3:45 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -9*r - 167. Calculate d(-9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1590211 is divided by 26069.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.1 + 1.2. Let u = 2 - -3. Which is the nearest to f? (a) u (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 113 = -u, u = 2*u + 5. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6 - a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 9*w**2 + 35*w - 172. List the prime factors of l(-29).\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -12, n - l + 4 = 2*n. Let t be 4 + (-1 - -2)*-2. Solve 4*a + n = t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 90 + 38. What is the units digit of (8 - p)*(-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(864) - sqrt(864)*2) + sqrt(24))\/sqrt(8) + sqrt(1080)\/sqrt(10) + 4)**2 + 4.\nAnswer: 8*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 2*c**2\/11 + 4084160*c\/11 + 2085045363200\/11 = 0.\nAnswer: -1021040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2174 + 8595\/4. What is the common denominator of w and 25\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*i + i**3 + 3*i + i.\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 349853 is divided by 87.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3\/6 - 176*t**2\/3 + 2407*t\/6 + 460.\nAnswer: (t - 345)*(t - 8)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -6*o**2 - 10*o - 3. Let r(u) be the second derivative of 5*u**4\/12 + 3*u**3\/2 + u**2 - u. Let z(f) = 4*m(f) + 5*r(f). Calculate z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 16*d - 350. What is the lowest common multiple of z(23) and 519?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31 + -16. Solve c + 3*k + v = -2*k, k - 23 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, -24, 5, -2, 1528 in descending order.\nAnswer: 1528, 5, -1, -2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 3099351?\nAnswer: 1549675.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (91\/52)\/(14\/68)*-2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3758 and -9.1.\nAnswer: -34197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -5.9 greater than or equal to 3961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-2)*3897\/2165?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 4*p = 0, -4*m + 7*p = 10*p. Solve m = -4*i - 8, i = -f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 63 and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/((s\/(s**(-1)*s))\/s))**26\/((s*s\/(s\/(s*s**(-7))))\/s**(3\/11)) assuming s is positive.\nAnswer: s**(344\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(540)\/(sqrt(9) - sqrt(225)))\/sqrt(12) + sqrt(5)*-2 + -3 + sqrt(5) + sqrt(5) + -2.\nAnswer: -5 - sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 54\/10 + 8\/(-20). Suppose -4*v - 2*y = -3*y - 89, z*y = 3*v - 54. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*s + 0 = -22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.5, -27\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) 6 (b) -1.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 11*o. Let m(z) = -2597833*z**2 + 3*z + 1. Calculate u(m(b)).\nAnswer: -28576163*b**2 + 33*b + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (5 - (-64)\/(-12))*-585. What is the second derivative of -83*b**3 + j*b**3 - 83*b**3 - 52*b + 2 wrt b?\nAnswer: 174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12.8 - -3.2. Suppose 4*i = 5*l + 1 + 42, 3*l = 5*i - 44. Let x be (i - (-8)\/(-2)) + (-5)\/1. Which is the third biggest value? (a) 4\/5 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/4))**(2\/15)*h**(-4)\/(((h*h**(2\/3)\/h*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b - 66 + 4. Let a = b - -67. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a. Let z(p) be the third derivative of p**5\/20 + 9*p**2. Determine z(j(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2217570 and 17949?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 238350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -646*n**3 - 636?\nAnswer: -1938*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 36\/55*10\/(-4) and -36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b**3 + 45*b**2 + 281*b + 55. Calculate y(-10).\nAnswer: 3745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.924051 + -0.1.\nAnswer: 0.824051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -59, -37.\nAnswer: -59, -37, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-5811312)\/(-32526)*3\/(-4)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/2, -3.23, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*i + 105*i = 5052. Let l = 427 - i. Let x(r) = r**3 - 5*r**2 - 8*r + 1. Calculate x(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1022, -1044, -1074, -1112?\n\"Answer: -4*q**2 - 10*q - 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -114, -2 in decreasing order.\nAnswer: 2, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttbtbttttb. What is prob of picking 1 b and 1 t?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*z - 1067565 = 337970 + 796807. List the prime factors of z.\nAnswer: 3, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(1377) + -1 + sqrt(1377) - (sqrt(17) - (sqrt(612) + 0 + sqrt(612) - sqrt(612)))))**2.\nAnswer: -92*sqrt(17) + 8997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + -1 + 0\/11. Let t = -4 + l. Let d be (-16)\/18 - 2\/t. Which is the nearest to 2\/11? (a) 0 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-4) + 2\/8 + (-540)\/400?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 - 0) + 108\/(-51). Which is the nearest to 7? (a) 3 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 5*a - 32, 0 = -5*i - 4*a + 111 - 38. Suppose -5*r - 4*k = -167, 5*r + 8*k - 12*k - 183 = 0. Let o = r + i. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -4\/9 (b) -2\/13 (c) -3 (d) -0.5 (e) 197.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m\/m**(3\/10))\/((m*m**12*m)\/m))**(-16\/5) assuming m is positive.\nAnswer: m**(904\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 94534121 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 0)*((-15)\/(-6) + -3). Solve 6*l - 5*l - 5 = d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(1\/(2 - 3)). Let n(j) be the first derivative of j**3\/6 + 3*j**2 + 38*j - 68. Let f(w) be the first derivative of n(w). Give f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 200 - 140. What is the tens digit of (54\/t)\/((-21)\/10885)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 976 times 0.865?\nAnswer: 844.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 262 (b) -3 (c) -1 (d) -2\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4, -7, -20, -49, -100?\n\"Answer: -t**3 + t**2 + t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 - -1. What is the smallest common multiple of g and (14 + 20\/(-4))\/(2 - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -4.6. Let t = r - 0.4. Let o be (-57)\/45 + (-6)\/15. Put o, t, 2 in descending order.\nAnswer: 2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2b5c3b (base 13) to base 10.\nAnswer: -1069820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 156254783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 688 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 423*d + 10 = 427*d - v, -9*v = -d + 20. Factor 2\/9*g**d - 10\/3*g + 0.\nAnswer: 2*g*(g - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -21824, -43668, -65526, -87404, -109308, -131244?\n\"Answer: -o**3 - o**2 - 21834*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128435 is divided by 63516.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/12)\/(-2)*2*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 PM and 2:38 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*m - 13*m - 37*m)*(7*m**2 + 0*m**2 + 0*m**2 + 2*m**2)*(2 + 1 + 1).\nAnswer: -2196*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 AM and 1:06 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2531042 - -4?\nAnswer: -2531035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -a*s**4 - 2*a*s**2 + 13*a*s - 3*a + 82*s**4 + 132*s**3 - 2*s**2 - 1 wrt s?\nAnswer: -24*a*s + 1968*s + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3 - -1)*2\/(-4)*5)\/(31940\/172476).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -890 = 2*g - 4*g. Suppose -g = 3*u - 8*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1084.995774 - 1085. Round g to four decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1770135798 to the power of 1\/3, to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12600\/(-17600) - 3\/(-33).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = j - 12. Let r = 200 - 192. Let u = j + r. Solve -7*y = -2*y + 2*p + 19, -4*y - u = 2*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 8, -4, -2 in descending order.\nAnswer: 8, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001110139 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 4*z - 21 = 0, n + 7*z = 2*z + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*s - 2020 = 37*s. Let z = s + -115. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -89 + 107.9. Let n = 19.9 - y. What is the nearest to 1 in n, 34, 4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m\/((m*m**(-2\/91))\/m))\/(m*m**(2\/7)) assuming m is positive.\nAnswer: m**(67\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 146 = -o, -3*o - k + 454 = -19. Calculate the smallest common multiple of 286 and o.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 + 3*w**2 + 0*w**2)*(-4 - 2 + 3) + (4*w + w**2 - 4*w)*(0 + 1 + 3).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -454*b = -459*b - 4*z - 17, 0 = -2*b - 2*z - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -29 in -19, -2, 617?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together -51.13 and 0.3.\nAnswer: -50.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 AM and 11:41 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 6*n**3 - 4*n**2 + 4*n - 5. Let u(p) = -5*p**3 + 3*p**2 - 3*p + 6. Give 3*h(i) + 4*u(i).\nAnswer: -2*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i + 0*i + 2*i**2)*(116 - 198 - 1480*i + 82).\nAnswer: -2960*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**2 - 4552*m - 700605. Determine v(-166).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 + 3*o**2 - 5. Let a(u) = -2*u + 31. Let b be a(17). Let m be j(b). Let n be 286\/65 - (-2)\/m. Calculate the greatest common divisor of n and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 42600 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from wdpslyw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(-3) + 3\/(-9). Suppose 3*v - 2*j = 1499 + 10, -t*v = -4*j - 1509. Suppose 5*i - 6*l - 531 = -2*l, 5*i - v = -3*l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 8*z**2 - 6*z**2 + 2*z**2 + 5*z**2 - 2*z**3 as f*z**2 + q + r*z**3 + n*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53 + -18. Suppose 0 = z - v - 14. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 506 divide 342716835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 3 = 0, 0 = -3*n + 34*d - 31*d - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l**2 - 8*l + 2. Let i(k) = -23*k**2 - 31*k - 76. Let f(u) = -i(u) + 8*s(u). Calculate f(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 3*y - 14 = 0, -5383 = -5*w - 5*y - 5398 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the second derivative of -4*b**3\/3 - 4*b**2 + b. Let x be i(6). Let f = -40 - x. What is the greatest common divisor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 13, e: 6}. Give prob of picking 2 m.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5460 = 5*m + d, m - d = 2*d - 1108. Let q = -5521\/5 - m. Let c = -110878\/13 + 8525. What is the common denominator of q and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 46847989*k**5 - 90*k - 244557.\nAnswer: 936959780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -4\/9 (c) 375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(28\/945)*(-6 + (-208)\/(-40))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3402.099ng to micrograms.\nAnswer: 3.402099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21236561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18 + (-1)\/((-3)\/6). Suppose 4*k + u = 28. What is o in 6*o + 0 - 3 + 3 - k*o**3 - 4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of -3*g**2 - 7\/12*g**6 + 0 - 5\/168*g**8 + 0*g**3 + 3\/14*g**7 + 0*g + 3\/4*g**5 - 5\/12*g**4. Find r, given that y(r) = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -c - 6. Suppose 0 = -c*q + 29 + 137. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -157670, 1\/2?\nAnswer: -157670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 52 + -42. Suppose a = i + 2*i, -4*a - 10 = -2*i. Let h = 47 - a. Calculate the highest common factor of h and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7338925?\nAnswer: 5, 11, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -36121625079.24 minus -3?\nAnswer: -36121625076.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sst when three letters picked without replacement from {t: 5, s: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 500 = -51*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 7*b**2 - 5*b. Let j be q(2). Let m = 19 - j. Solve -m = -3*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -667767264*h**6 - 2*h**2 - 32936869*h.\nAnswer: -80132071680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2976099 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -45465, -182248, -410219, -729378?\n\"Answer: -45594*w**2 - w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 - 234*f - 225. Let a(h) = 78*h + 75. Let j(b) = -8*a(b) - 3*u(b). Factor j(z).\nAnswer: 3*(z + 1)*(z + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 220*x - 201598 + 216118 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -67 by -90.\nAnswer: 67\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 329, 332, 325, 308, 281, 244, 197?\n\"Answer: -5*x**2 + 18*x + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 15471 (base 9) to base 10\nAnswer: 10594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1396790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10018 - -21588. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20 + 34 - 12*j**2 + 9*j - 6*j - 3*j in the form x + t*j + p*j**2 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4144321233 (base 5) in base 12?\nAnswer: -2a62553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -11580.212 rounded to the nearest one hundred?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2129 take away 3786?\nAnswer: -1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -13 (b) -1\/719 (c) 21 (d) 9 (e) 0 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-25*t**2 + 1023*t**2 - 54*t**2 + 413*t**2)*(-6 + 3 + 2)*(52 - 52 - 27*t) as a*t + m*t**2 + z + n*t**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1118794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of -53*y**7\/42 + y**5\/10 - 938*y**3\/3 - 1494*y. What is the second derivative of w(k) wrt k?\nAnswer: -1060*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*q - 248 + 352 = 0. Solve 0 = 5*o - 4*t - 3, 23*o - 15 = 22*o - q*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 1 = 3. What is the tens digit of w\/(-3) + 188\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 30\/(-40)*1*(-3)\/(-6). Which is the closest to 9? (a) 0.3 (b) -7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*f)*(10 + 1 + 3).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-174)\/957 + (-27)\/33. Let a(m) = -m**3 - m**2 + 1. Let f(u) = -u**3 + u**2 + 2. What is j*f(k) - a(k)?\nAnswer: 2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vffvv. What is prob of sequence vv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3.57241+1521.5514\nAnswer: 1525.12381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -96 + 138. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7768081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.8540409 to three dps.\nAnswer: -0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6738 - 4480. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*t - 2*t + t)*(6*t**2 - 4*t**2 + 0*t**2) - 2*t**3 + 2*t**3 + 2*t**3)*(-37 + 120*t**2 - 423*t**2 + 41).\nAnswer: -1212*t**5 + 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -6, -142, -528, -1290, -2554, -4446, -7092?\n\"Answer: -21*r**3 + r**2 + 8*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4216 - 4212. What is the second biggest value in 0.5, s, -0.2, -655?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 - 6*d**2 - 7*d - 1. Suppose -y = -5*y + 100. Suppose 11 + y = 4*p. Let n = -2 + p. Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 3*f - 66, 5*f - 1 = -3*p + 109. Let g = f + -20. Suppose -3*u + 121 = -v, g*u - 62 = v + 17. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**2 - 17*w - 10. Let h be b(10). Suppose -h*g + 960 = -16*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -156a5 (base 14) to base 10.\nAnswer: -53457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 372 - 4?\nAnswer: 36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*o - 17*o = 9774. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 77618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + 538387*q - 538384*q - 90, -2*h + 2*q = 60 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25\/29 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + -21. Let s = 24\/1403 + -1547\/8418. Which is the third smallest value? (a) g (b) 0.02 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 1 = 3*y, 3*s = s + y - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/661386 and -13\/9.\nAnswer: 1984158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 9*s**2 - 4*s - 8. Let t be y(8). Solve 0 = -3*v - 4*k + 28, 0 = -v - 3*v - 2*k + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2374429878 to the nearest integer?\nAnswer: 48728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 82 = -130. Calculate the remainder when -174*((-15)\/(-9) + -2) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 3*z + 4*w - 45 = 0, -2*z + 30 = -w. Let q = 11 - z. Let i(p) = -p**3 - 4*p**2 + p. Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-26575)\/4875 + (-90)\/(-1755)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3099*g - 3098. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13639466 and 1814.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 2:15 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p**3\/7 - 21484368*p**2\/7 - 21484366*p\/7 = 0.\nAnswer: -10742183, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = 54455 - 54440 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 240076.6ug?\nAnswer: 0.0002400766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -7*h**2 - 7*h. Let o(c) be the first derivative of -c**2 - 119. What is r(o(f))?\nAnswer: -28*f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -u + 3 = 0, 12*j - 8*j = -2*u + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(100)\/(sqrt(20) + sqrt(5))*-5)\/(sqrt(20)\/(-2*sqrt(2))*6).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -17 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 4 - (15 - (10 - -10)) - -11\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3*l = -2*l - 12, 3*m - 2*l - 12 = 0. Suppose 0 = -3*u + 4*n + 1155, -4*u + m*n = 7*n - 1565. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2\/3, -15 in ascending order.\nAnswer: -15, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 - 5. Let n be p\/(1 - (-6)\/(-15)). Let d be 1 + 1*-2 - -3. Solve h - 35 = -h + n*x, -4*h + 10 = d*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-555)\/(-37)*(-12)\/30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, -2, 13\/4, -0.174382, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 3 = -5*l, l + 3 = -1605*j + 1607*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/15 and 125\/876.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 227.6 + -228. Sort m, -1.7, 0 in decreasing order.\nAnswer: 0, m, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y. Suppose -20*x = 2*x. Let u(l) be the second derivative of -1\/4*l**4 + 0 + 11*l + 0*l**3 + x*l**2. Determine u(q(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -118.1 - 189485045\nAnswer: -189485163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 20b + -2585?\nAnswer: -2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*q = -4*d + 141, -5*q + q = -d + 69 - 61 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1002744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1027626 (base 8) in base 9?\nAnswer: -457266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3814?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(-6))\/(((-15)\/3)\/(-2265)). What is the derivative of -68 + 81 + k - 26*w wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*t - 3600 = 36*t. Let x = -468 - t. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 - 13*q**2 - 14*q + 23. Give y(-13).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/9 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7678285, -7678278, -7678273, -7678276, -7678293, -7678330, -7678393, -7678488?\nAnswer: -7678621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -5, -83, -0.24, -2\/7, -750 in increasing order.\nAnswer: -750, -83, -5, -2\/7, -0.24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/3363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*i + 1040 - 415 = -535 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}